{"id": "edge-eb510d801444", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve", "input": "parameters.thickness_m", "input_unit": "m", "whole_number_input": false, "base_value": 0.05, "edge_kind": "declared_limit", "direction": "down", "inside_value": 0.05, "inside_value_hex": "3fa999999999999a", "outside_value": 0.049999999999999996, "outside_value_hex": "3fa9999999999999", "width": 6.938893903907228e-18, "adjacent_64_bit_numbers": true, "stop_name": "ThermocoupleOutsideSlab", "stop_sentence": "Physical Violation: thermocouple 5 at depth 0.05 m is not inside the slab (ThermocoupleOutsideSlab).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3251, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "40169ddadb42afab4c9361e9c3230d864650df8773aedffef2230c35a4d7cc26", "outside_proof": null, "inside_receipt": "66391557fb3a9e9f340cc386f48f571170ffdfcca351716251e79946b676f6f2", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:39:42Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"TACOT 3.0\", \"thickness_m\": 0.05, \"start_temperature_k\": 298.0, \"thermocouple_depths_m\": [0.001, 0.002, 0.004, 0.008, 0.016, 0.05], \"face\": \"held_temperature\", \"held_temperature_k\": 1644.0, \"hold_duration_s\": 60.0, \"continue_after_s\": 0.0, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"TACOT 3.0\",\"thickness_m\":0.05,\"start_temperature_k\":298.0,\"thermocouple_depths_m\":[0.001,0.002,0.004,0.008,0.016,0.05],\"face\":\"held_temperature\",\"held_temperature_k\":1644.0,\"hold_duration_s\":60.0,\"continue_after_s\":0.0,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3251,\"result\":{\"material_compared_with_measurement\":0.0e0,\"material_compared_with_measurement_hex\":\"0000000000000000\",\"duration_s\":6.0e1,\"duration_s_hex\":\"404e000000000000\",\"wear_m\":0.0e0,\"wear_m_hex\":\"0000000000000000\",\"peak_face_temperature_k\":1.644e3,\"peak_face_temperature_k_hex\":\"4099b00000000000\",\"peak_face_temperature_at_s\":1.0e0,\"peak_face_temperature_at_s_hex\":\"3ff0000000000000\",\"final_face_temperature_k\":1.644e3,\"final_face_temperature_k_hex\":\"4099b00000000000\",\"final_back_temperature_k\":2.983152358280761e2,\"final_back_temperature_k_hex\":\"4072a50b34b941d4\",\"depth_half_way_to_virgin_m\":8.670520861753614e-3,\"depth_half_way_to_virgin_m_hex\":\"3f81c1d99c52fad8\",\"depth_within_2_percent_of_virgin_m\":1.3235467575395975e-2,\"depth_within_2_percent_of_virgin_m_hex\":\"3f8b1b32631199cc\",\"heat_from_stream_j_per_m2\":0.0e0,\"heat_from_stream_j_per_m2_hex\":\"0000000000000000\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":0.0e0,\"heat_radiated_away_j_per_m2_hex\":\"0000000000000000\",\"heat_taken_at_face_by_gases_j_per_m2\":0.0e0,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"0000000000000000\",\"heat_in_through_face_j_per_m2\":8.125683161785969e6,\"heat_in_through_face_j_per_m2_hex\":\"415eff3cca5ab389\",\"heat_stored_in_solid_j_per_m2\":4.961048124905029e6,\"heat_stored_in_solid_j_per_m2_hex\":\"4152ecc607fe71aa\",\"heat_taken_by_gas_j_per_m2\":3.5331804973459607e6,\"heat_taken_by_gas_j_per_m2_hex\":\"414af4be3fa9084e\",\"heat_given_off_by_decomposition_j_per_m2\":3.685454604650397e5,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"41167e85d78425ba\",\"char_enthalpy_removed_j_per_m2\":0.0e0,\"char_enthalpy_removed_j_per_m2_hex\":\"0000000000000000\",\"solid_mass_lost_kg_per_m2\":5.456881404998768e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3fe17646f9a86280\",\"gas_mass_out_kg_per_m2\":5.456881404998812e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fe17646f9a862a8\",\"char_mass_removed_kg_per_m2\":0.0e0,\"char_mass_removed_kg_per_m2_hex\":\"0000000000000000\",\"inside_arc_jet_comparison\":0.0e0,\"inside_arc_jet_comparison_hex\":\"0000000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":0.0e0,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"0000000000000000\",\"cells\":1.95e2,\"cells_hex\":\"4068600000000000\",\"cells_at_end\":1.95e2,\"cells_at_end_hex\":\"4068600000000000\",\"time_steps\":3.251e3,\"time_steps_hex\":\"40a9660000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":-1.816079020500183e-8,\"energy_account_residual_j_per_m2_hex\":\"be53800000000000\",\"energy_account_tolerance_j_per_m2\":3.902469230992547e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fa3fb0b626a4993\",\"face_balance_residual_j_per_m2\":0.0e0,\"face_balance_residual_j_per_m2_hex\":\"0000000000000000\",\"face_balance_tolerance_j_per_m2\":0.0e0,\"face_balance_tolerance_j_per_m2_hex\":\"0000000000000000\",\"mass_account_residual_kg_per_m2\":-4.440892098500626e-15,\"mass_account_residual_kg_per_m2_hex\":\"bcf4000000000000\",\"mass_account_tolerance_kg_per_m2\":4.506547158454056e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e6831c052122198\"},\"field_sha256\":\"e6f80adaf0ff792d64005c43e5c69ed027e1fe5979adebf89dc1521690c8e0a8\",\"seal_parts\":{\"inputs\":\"f274e1a1841d94b57b77cb7551e7b2985ae75cc8985c9d4abda5a4fcbfafdec9\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"11742d7739404d2d169921f3722b2f716d8b490c85cf29c874e8c379479d74b7\",\"invariants\":\"652a6a2f21d13580ec390efc85f4bda9896defe7b99a19d3189650047bfa82ac\",\"field_sha256\":\"ccba267d0984bcf51a8bad5f3eb42750b75a9273b1b6fcf897f7ebe808002413\",\"outcome\":\"7a4bcff282777adad24ebf4a2720438b30a13e31e83b3d1ef307d5cf2cb75d6a\"},\"solution_seal\":\"40169ddadb42afab4c9361e9c3230d864650df8773aedffef2230c35a4d7cc26\",\"receipt_sha256\":\"66391557fb3a9e9f340cc386f48f571170ffdfcca351716251e79946b676f6f2\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"TACOT 3.0\", \"thickness_m\": 0.049999999999999996, \"start_temperature_k\": 298.0, \"thermocouple_depths_m\": [0.001, 0.002, 0.004, 0.008, 0.016, 0.05], \"face\": \"held_temperature\", \"held_temperature_k\": 1644.0, \"hold_duration_s\": 60.0, \"continue_after_s\": 0.0, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: thermocouple 5 at depth 0.05 m is not inside the slab (ThermocoupleOutsideSlab).", "outside_answer_is_error": true}
{"id": "edge-659c30168d60", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve", "input": "parameters.thickness_m", "input_unit": "m", "whole_number_input": false, "base_value": 0.05, "edge_kind": "declared_limit", "direction": "up", "inside_value": 0.1, "inside_value_hex": "3fb999999999999a", "outside_value": 0.10000000000000002, "outside_value_hex": "3fb999999999999b", "width": 1.3877787807814457e-17, "adjacent_64_bit_numbers": true, "stop_name": "ThicknessOutOfRange", "stop_sentence": "Physical Violation: thickness 0.10000000000000002 m is outside 0.01..=0.1 (ThicknessOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3251, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "0746555a5059f7d4e543a00ed0523d0177843024bad2b442dff53ddde66f3424", "outside_proof": null, "inside_receipt": "9b963b04a8c1adeea093b1ba884cff68c14824862d886a6baf4f96178071a438", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:39:45Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"TACOT 3.0\", \"thickness_m\": 0.1, \"start_temperature_k\": 298.0, \"thermocouple_depths_m\": [0.001, 0.002, 0.004, 0.008, 0.016, 0.05], \"face\": \"held_temperature\", \"held_temperature_k\": 1644.0, \"hold_duration_s\": 60.0, \"continue_after_s\": 0.0, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"TACOT 3.0\",\"thickness_m\":0.1,\"start_temperature_k\":298.0,\"thermocouple_depths_m\":[0.001,0.002,0.004,0.008,0.016,0.05],\"face\":\"held_temperature\",\"held_temperature_k\":1644.0,\"hold_duration_s\":60.0,\"continue_after_s\":0.0,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3251,\"result\":{\"material_compared_with_measurement\":0.0e0,\"material_compared_with_measurement_hex\":\"0000000000000000\",\"duration_s\":6.0e1,\"duration_s_hex\":\"404e000000000000\",\"wear_m\":0.0e0,\"wear_m_hex\":\"0000000000000000\",\"peak_face_temperature_k\":1.644e3,\"peak_face_temperature_k_hex\":\"4099b00000000000\",\"peak_face_temperature_at_s\":1.0e0,\"peak_face_temperature_at_s_hex\":\"3ff0000000000000\",\"final_face_temperature_k\":1.644e3,\"final_face_temperature_k_hex\":\"4099b00000000000\",\"final_back_temperature_k\":2.9800000000012085e2,\"final_back_temperature_k_hex\":\"4072a0000000084e\",\"depth_half_way_to_virgin_m\":8.670978336989902e-3,\"depth_half_way_to_virgin_m_hex\":\"3f81c217030db6af\",\"depth_within_2_percent_of_virgin_m\":1.3235057662315884e-2,\"depth_within_2_percent_of_virgin_m_hex\":\"3f8b1afb5e90046c\",\"heat_from_stream_j_per_m2\":0.0e0,\"heat_from_stream_j_per_m2_hex\":\"0000000000000000\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":0.0e0,\"heat_radiated_away_j_per_m2_hex\":\"0000000000000000\",\"heat_taken_at_face_by_gases_j_per_m2\":0.0e0,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"0000000000000000\",\"heat_in_through_face_j_per_m2\":8.125682927309348e6,\"heat_in_through_face_j_per_m2_hex\":\"415eff3cbb59094f\",\"heat_stored_in_solid_j_per_m2\":4.961047960187267e6,\"heat_stored_in_solid_j_per_m2_hex\":\"4152ecc5fd73b54b\",\"heat_taken_by_gas_j_per_m2\":3.5331803831663113e6,\"heat_taken_by_gas_j_per_m2_hex\":\"414af4be310b97fc\",\"heat_given_off_by_decomposition_j_per_m2\":3.6854541604425147e5,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"41167e85aa078117\",\"char_enthalpy_removed_j_per_m2\":0.0e0,\"char_enthalpy_removed_j_per_m2_hex\":\"0000000000000000\",\"solid_mass_lost_kg_per_m2\":5.45688111771824e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3fe17646ea3c0800\",\"gas_mass_out_kg_per_m2\":5.456881117718196e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fe17646ea3c07d9\",\"char_mass_removed_kg_per_m2\":0.0e0,\"char_mass_removed_kg_per_m2_hex\":\"0000000000000000\",\"inside_arc_jet_comparison\":0.0e0,\"inside_arc_jet_comparison_hex\":\"0000000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":0.0e0,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"0000000000000000\",\"cells\":3.2e2,\"cells_hex\":\"4074000000000000\",\"cells_at_end\":3.2e2,\"cells_at_end_hex\":\"4074000000000000\",\"time_steps\":3.251e3,\"time_steps_hex\":\"40a9660000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":-2.1886080503463745e-8,\"energy_account_residual_j_per_m2_hex\":\"be57800000000000\",\"energy_account_tolerance_j_per_m2\":7.678361319261838e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fb3a8174387f047\",\"face_balance_residual_j_per_m2\":0.0e0,\"face_balance_residual_j_per_m2_hex\":\"0000000000000000\",\"face_balance_tolerance_j_per_m2\":0.0e0,\"face_balance_tolerance_j_per_m2_hex\":\"0000000000000000\",\"mass_account_residual_kg_per_m2\":4.3298697960381105e-15,\"mass_account_residual_kg_per_m2_hex\":\"3cf3800000000000\",\"mass_account_tolerance_kg_per_m2\":9.057947162046633e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e785092eaa32947\"},\"field_sha256\":\"e3b9bac6dd8ad071640931e846dbb73b0489b875a0acda5111e919afb0dd773d\",\"seal_parts\":{\"inputs\":\"068b86021bc3ccb5b39ce82c9d769e57ec768e7339ee0b28a03db13b9b5c5e99\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"886c76801212cdd36ffb4963781dc54333461a08400377e908ea955b37216ede\",\"invariants\":\"d764127e0ce548b3791abf563740c28aac915bf752ffed0b2461401e20ade328\",\"field_sha256\":\"6015e4f14c258b06bf95b0157d3ec961f8232d64882800cf01e712605065b678\",\"outcome\":\"7a4bcff282777adad24ebf4a2720438b30a13e31e83b3d1ef307d5cf2cb75d6a\"},\"solution_seal\":\"0746555a5059f7d4e543a00ed0523d0177843024bad2b442dff53ddde66f3424\",\"receipt_sha256\":\"9b963b04a8c1adeea093b1ba884cff68c14824862d886a6baf4f96178071a438\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"TACOT 3.0\", \"thickness_m\": 0.10000000000000002, \"start_temperature_k\": 298.0, \"thermocouple_depths_m\": [0.001, 0.002, 0.004, 0.008, 0.016, 0.05], \"face\": \"held_temperature\", \"held_temperature_k\": 1644.0, \"hold_duration_s\": 60.0, \"continue_after_s\": 0.0, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: thickness 0.10000000000000002 m is outside 0.01..=0.1 (ThicknessOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-0035c7369371", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve", "input": "parameters.start_temperature_k", "input_unit": "K", "whole_number_input": false, "base_value": 298.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 260.0, "inside_value_hex": "4070400000000000", "outside_value": 259.99999999999994, "outside_value_hex": "40703fffffffffff", "width": 5.684341886080802e-14, "adjacent_64_bit_numbers": true, "stop_name": "StartTemperatureOutOfRange", "stop_sentence": "Physical Violation: start temperature 259.99999999999994 K is outside 260..=400 (StartTemperatureOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3251, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "873400f6c6200f3b84fe4001cfc5eebef476411448d01f712432e6970aebd355", "outside_proof": null, "inside_receipt": "7dc6618c35bf3247468adab0168cfbe7fc2e3360f3422872babbcc1574fd6613", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:39:47Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"TACOT 3.0\", \"thickness_m\": 0.05, \"start_temperature_k\": 260.0, \"thermocouple_depths_m\": [0.001, 0.002, 0.004, 0.008, 0.016, 0.05], \"face\": \"held_temperature\", \"held_temperature_k\": 1644.0, \"hold_duration_s\": 60.0, \"continue_after_s\": 0.0, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"TACOT 3.0\",\"thickness_m\":0.05,\"start_temperature_k\":260.0,\"thermocouple_depths_m\":[0.001,0.002,0.004,0.008,0.016,0.05],\"face\":\"held_temperature\",\"held_temperature_k\":1644.0,\"hold_duration_s\":60.0,\"continue_after_s\":0.0,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3251,\"result\":{\"material_compared_with_measurement\":0.0e0,\"material_compared_with_measurement_hex\":\"0000000000000000\",\"duration_s\":6.0e1,\"duration_s_hex\":\"404e000000000000\",\"wear_m\":0.0e0,\"wear_m_hex\":\"0000000000000000\",\"peak_face_temperature_k\":1.644e3,\"peak_face_temperature_k_hex\":\"4099b00000000000\",\"peak_face_temperature_at_s\":1.0e0,\"peak_face_temperature_at_s_hex\":\"3ff0000000000000\",\"final_face_temperature_k\":1.644e3,\"final_face_temperature_k_hex\":\"4099b00000000000\",\"final_back_temperature_k\":2.6055732867551217e2,\"final_back_temperature_k_hex\":\"407048ead179272a\",\"depth_half_way_to_virgin_m\":8.516283367046223e-3,\"depth_half_way_to_virgin_m_hex\":\"3f8170fc345c0576\",\"depth_within_2_percent_of_virgin_m\":1.2817090072991722e-2,\"depth_within_2_percent_of_virgin_m_hex\":\"3f8a3fd8b58c0dcd\",\"heat_from_stream_j_per_m2\":0.0e0,\"heat_from_stream_j_per_m2_hex\":\"0000000000000000\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":0.0e0,\"heat_radiated_away_j_per_m2_hex\":\"0000000000000000\",\"heat_taken_at_face_by_gases_j_per_m2\":0.0e0,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"0000000000000000\",\"heat_in_through_face_j_per_m2\":8.166336738719178e6,\"heat_in_through_face_j_per_m2_hex\":\"415f26f02f472cce\",\"heat_stored_in_solid_j_per_m2\":5.076063428645477e6,\"heat_stored_in_solid_j_per_m2_hex\":\"41535d17db6eed70\",\"heat_taken_by_gas_j_per_m2\":3.4393410626390167e6,\"heat_taken_by_gas_j_per_m2_hex\":\"414a3d7688048e28\",\"heat_given_off_by_decomposition_j_per_m2\":3.490677525652783e5,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"41154e2f02a078ea\",\"char_enthalpy_removed_j_per_m2\":0.0e0,\"char_enthalpy_removed_j_per_m2_hex\":\"0000000000000000\",\"solid_mass_lost_kg_per_m2\":5.332835611571998e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3fe110a8afd54450\",\"gas_mass_out_kg_per_m2\":5.332835611571993e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fe110a8afd5444c\",\"char_mass_removed_kg_per_m2\":0.0e0,\"char_mass_removed_kg_per_m2_hex\":\"0000000000000000\",\"inside_arc_jet_comparison\":0.0e0,\"inside_arc_jet_comparison_hex\":\"0000000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":0.0e0,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"0000000000000000\",\"cells\":1.95e2,\"cells_hex\":\"4068600000000000\",\"cells_at_end\":1.95e2,\"cells_at_end_hex\":\"4068600000000000\",\"time_steps\":3.251e3,\"time_steps_hex\":\"40a9660000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":3.67872416973114e-8,\"energy_account_residual_j_per_m2_hex\":\"3e63c00000000000\",\"energy_account_tolerance_j_per_m2\":4.030943034023351e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fa4a3700a103a13\",\"face_balance_residual_j_per_m2\":0.0e0,\"face_balance_residual_j_per_m2_hex\":\"0000000000000000\",\"face_balance_tolerance_j_per_m2\":0.0e0,\"face_balance_tolerance_j_per_m2_hex\":\"0000000000000000\",\"mass_account_residual_kg_per_m2\":4.440892098500626e-16,\"mass_account_residual_kg_per_m2_hex\":\"3cc0000000000000\",\"mass_account_tolerance_kg_per_m2\":4.5075097215885107e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e683312fe0ce056\"},\"field_sha256\":\"46109c4cb7ea9393bfe83e6923ef4429e2c72df031fc66a4f529ad0aa6de52e7\",\"seal_parts\":{\"inputs\":\"241f3f0d33ed32d053e02f4866ceb26bef8cf000530c8ce5ccc0e69239864253\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"bbd73d3130a2b88675f24a37577e27283db6fc96463a9bc16fa5e3dbcdd59366\",\"invariants\":\"02dc2a4a8d4cb3a6b1b19ff3aed87ced8898a552f60e4883ff9271f04c6f2b34\",\"field_sha256\":\"5753a16a362b0a0d21d3bd3e055f880033f758d1029136ac34768953d75daba5\",\"outcome\":\"7a4bcff282777adad24ebf4a2720438b30a13e31e83b3d1ef307d5cf2cb75d6a\"},\"solution_seal\":\"873400f6c6200f3b84fe4001cfc5eebef476411448d01f712432e6970aebd355\",\"receipt_sha256\":\"7dc6618c35bf3247468adab0168cfbe7fc2e3360f3422872babbcc1574fd6613\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"TACOT 3.0\", \"thickness_m\": 0.05, \"start_temperature_k\": 259.99999999999994, \"thermocouple_depths_m\": [0.001, 0.002, 0.004, 0.008, 0.016, 0.05], \"face\": \"held_temperature\", \"held_temperature_k\": 1644.0, \"hold_duration_s\": 60.0, \"continue_after_s\": 0.0, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: start temperature 259.99999999999994 K is outside 260..=400 (StartTemperatureOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-57acf26ac699", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve", "input": "parameters.start_temperature_k", "input_unit": "K", "whole_number_input": false, "base_value": 298.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 400.0, "inside_value_hex": "4079000000000000", "outside_value": 400.00000000000006, "outside_value_hex": "4079000000000001", "width": 5.684341886080802e-14, "adjacent_64_bit_numbers": true, "stop_name": "StartTemperatureOutOfRange", "stop_sentence": "Physical Violation: start temperature 400.00000000000006 K is outside 260..=400 (StartTemperatureOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3251, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "58e4a85c0e575ba8df812498453bca313aca894ef9f5ab89a11aca0ab38e7b09", "outside_proof": null, "inside_receipt": "af622aa6508670620993a7b34d450624e824ed618a3a92b815609aceda5915e1", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:39:50Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"TACOT 3.0\", \"thickness_m\": 0.05, \"start_temperature_k\": 400.0, \"thermocouple_depths_m\": [0.001, 0.002, 0.004, 0.008, 0.016, 0.05], \"face\": \"held_temperature\", \"held_temperature_k\": 1644.0, \"hold_duration_s\": 60.0, \"continue_after_s\": 0.0, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"TACOT 3.0\",\"thickness_m\":0.05,\"start_temperature_k\":400.0,\"thermocouple_depths_m\":[0.001,0.002,0.004,0.008,0.016,0.05],\"face\":\"held_temperature\",\"held_temperature_k\":1644.0,\"hold_duration_s\":60.0,\"continue_after_s\":0.0,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3251,\"result\":{\"material_compared_with_measurement\":0.0e0,\"material_compared_with_measurement_hex\":\"0000000000000000\",\"duration_s\":6.0e1,\"duration_s_hex\":\"404e000000000000\",\"wear_m\":0.0e0,\"wear_m_hex\":\"0000000000000000\",\"peak_face_temperature_k\":1.644e3,\"peak_face_temperature_k_hex\":\"4099b00000000000\",\"peak_face_temperature_at_s\":1.0e0,\"peak_face_temperature_at_s_hex\":\"3ff0000000000000\",\"final_face_temperature_k\":1.644e3,\"final_face_temperature_k_hex\":\"4099b00000000000\",\"final_back_temperature_k\":4.001867281856039e2,\"final_back_temperature_k_hex\":\"407902fcd6b1a690\",\"depth_half_way_to_virgin_m\":9.174228024293423e-3,\"depth_half_way_to_virgin_m_hex\":\"3f82c9f00aa4a1e9\",\"depth_within_2_percent_of_virgin_m\":1.486458116353857e-2,\"depth_within_2_percent_of_virgin_m_hex\":\"3f8e71524fbaa566\",\"heat_from_stream_j_per_m2\":0.0e0,\"heat_from_stream_j_per_m2_hex\":\"0000000000000000\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":0.0e0,\"heat_radiated_away_j_per_m2_hex\":\"0000000000000000\",\"heat_taken_at_face_by_gases_j_per_m2\":0.0e0,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"0000000000000000\",\"heat_in_through_face_j_per_m2\":8.037857080318265e6,\"heat_in_through_face_j_per_m2_hex\":\"415ea9784523ef38\",\"heat_stored_in_solid_j_per_m2\":4.601314659484601e6,\"heat_stored_in_solid_j_per_m2_hex\":\"41518d78aa34fee6\",\"heat_taken_by_gas_j_per_m2\":3.886089340724797e6,\"heat_taken_by_gas_j_per_m2_hex\":\"414da604ab9cdec2\",\"heat_given_off_by_decomposition_j_per_m2\":4.49546919891178e5,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"411b702badf7f3f6\",\"char_enthalpy_removed_j_per_m2\":0.0e0,\"char_enthalpy_removed_j_per_m2_hex\":\"0000000000000000\",\"solid_mass_lost_kg_per_m2\":5.905861376147836e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3fe2e614e650d8b0\",\"gas_mass_out_kg_per_m2\":5.905861376147902e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fe2e614e650d8eb\",\"char_mass_removed_kg_per_m2\":0.0e0,\"char_mass_removed_kg_per_m2_hex\":\"0000000000000000\",\"inside_arc_jet_comparison\":0.0e0,\"inside_arc_jet_comparison_hex\":\"0000000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":0.0e0,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"0000000000000000\",\"cells\":1.95e2,\"cells_hex\":\"4068600000000000\",\"cells_at_end\":1.95e2,\"cells_at_end_hex\":\"4068600000000000\",\"time_steps\":3.251e3,\"time_steps_hex\":\"40a9660000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":-4.516914486885071e-8,\"energy_account_residual_j_per_m2_hex\":\"be68400000000000\",\"energy_account_tolerance_j_per_m2\":3.52355785253958e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fa20a65d2d82c8c\",\"face_balance_residual_j_per_m2\":0.0e0,\"face_balance_residual_j_per_m2_hex\":\"0000000000000000\",\"face_balance_tolerance_j_per_m2\":0.0e0,\"face_balance_tolerance_j_per_m2_hex\":\"0000000000000000\",\"mass_account_residual_kg_per_m2\":-6.5503158452884236e-15,\"mass_account_residual_kg_per_m2_hex\":\"bcfd800000000000\",\"mass_account_tolerance_kg_per_m2\":4.503135923308571e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e682d1019530050\"},\"field_sha256\":\"15b484ec38ae7778039b59da7969fb58cfe12600e36e5a04e63728ae0f5ed7e2\",\"seal_parts\":{\"inputs\":\"7d8cb4f93b7cc4e0ec0f3a947883873902aacb715e1c27723cd84cf21ab5bf9a\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e7e3ef5e1e357a37d1a344a5854866dc418cbc133719c6ace42baa35950e51bc\",\"invariants\":\"b2bb370e457586b5057b1a23d6a566f70f581937a42d3f875ebfaded0c60342c\",\"field_sha256\":\"c07ffe02fee4bba8b1e2048c61d83d223bacf809fd3244f2711e75550794bf7a\",\"outcome\":\"7a4bcff282777adad24ebf4a2720438b30a13e31e83b3d1ef307d5cf2cb75d6a\"},\"solution_seal\":\"58e4a85c0e575ba8df812498453bca313aca894ef9f5ab89a11aca0ab38e7b09\",\"receipt_sha256\":\"af622aa6508670620993a7b34d450624e824ed618a3a92b815609aceda5915e1\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"TACOT 3.0\", \"thickness_m\": 0.05, \"start_temperature_k\": 400.00000000000006, \"thermocouple_depths_m\": [0.001, 0.002, 0.004, 0.008, 0.016, 0.05], \"face\": \"held_temperature\", \"held_temperature_k\": 1644.0, \"hold_duration_s\": 60.0, \"continue_after_s\": 0.0, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: start temperature 400.00000000000006 K is outside 260..=400 (StartTemperatureOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-2fbbbb2e4573", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve", "input": "parameters.thermocouple_depths_m[0]", "input_unit": "m", "whole_number_input": false, "base_value": 0.001, "edge_kind": "declared_limit", "direction": "up", "inside_value": 0.05, "inside_value_hex": "3fa999999999999a", "outside_value": 0.05000000000000001, "outside_value_hex": "3fa999999999999b", "width": 6.938893903907228e-18, "adjacent_64_bit_numbers": true, "stop_name": "ThermocoupleOutsideSlab", "stop_sentence": "Physical Violation: thermocouple 0 at depth 0.05000000000000001 m is not inside the slab (ThermocoupleOutsideSlab).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3251, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "b92bfb2695b5bbb91333a6d91cd033fac2b67af982e75c8ae03122006ee61b79", "outside_proof": null, "inside_receipt": "b9a17d56ef708d87407e16ae1a9ce11ce1674e7c0b9e42f99aa1c5b7a9ed66e4", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:39:52Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"TACOT 3.0\", \"thickness_m\": 0.05, \"start_temperature_k\": 298.0, \"thermocouple_depths_m\": [0.05, 0.002, 0.004, 0.008, 0.016, 0.05], \"face\": \"held_temperature\", \"held_temperature_k\": 1644.0, \"hold_duration_s\": 60.0, \"continue_after_s\": 0.0, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"TACOT 3.0\",\"thickness_m\":0.05,\"start_temperature_k\":298.0,\"thermocouple_depths_m\":[0.05,0.002,0.004,0.008,0.016,0.05],\"face\":\"held_temperature\",\"held_temperature_k\":1644.0,\"hold_duration_s\":60.0,\"continue_after_s\":0.0,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3251,\"result\":{\"material_compared_with_measurement\":0.0e0,\"material_compared_with_measurement_hex\":\"0000000000000000\",\"duration_s\":6.0e1,\"duration_s_hex\":\"404e000000000000\",\"wear_m\":0.0e0,\"wear_m_hex\":\"0000000000000000\",\"peak_face_temperature_k\":1.644e3,\"peak_face_temperature_k_hex\":\"4099b00000000000\",\"peak_face_temperature_at_s\":1.0e0,\"peak_face_temperature_at_s_hex\":\"3ff0000000000000\",\"final_face_temperature_k\":1.644e3,\"final_face_temperature_k_hex\":\"4099b00000000000\",\"final_back_temperature_k\":2.983152358280761e2,\"final_back_temperature_k_hex\":\"4072a50b34b941d4\",\"depth_half_way_to_virgin_m\":8.670520861753614e-3,\"depth_half_way_to_virgin_m_hex\":\"3f81c1d99c52fad8\",\"depth_within_2_percent_of_virgin_m\":1.3235467575395975e-2,\"depth_within_2_percent_of_virgin_m_hex\":\"3f8b1b32631199cc\",\"heat_from_stream_j_per_m2\":0.0e0,\"heat_from_stream_j_per_m2_hex\":\"0000000000000000\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":0.0e0,\"heat_radiated_away_j_per_m2_hex\":\"0000000000000000\",\"heat_taken_at_face_by_gases_j_per_m2\":0.0e0,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"0000000000000000\",\"heat_in_through_face_j_per_m2\":8.125683161785969e6,\"heat_in_through_face_j_per_m2_hex\":\"415eff3cca5ab389\",\"heat_stored_in_solid_j_per_m2\":4.961048124905029e6,\"heat_stored_in_solid_j_per_m2_hex\":\"4152ecc607fe71aa\",\"heat_taken_by_gas_j_per_m2\":3.5331804973459607e6,\"heat_taken_by_gas_j_per_m2_hex\":\"414af4be3fa9084e\",\"heat_given_off_by_decomposition_j_per_m2\":3.685454604650397e5,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"41167e85d78425ba\",\"char_enthalpy_removed_j_per_m2\":0.0e0,\"char_enthalpy_removed_j_per_m2_hex\":\"0000000000000000\",\"solid_mass_lost_kg_per_m2\":5.456881404998768e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3fe17646f9a86280\",\"gas_mass_out_kg_per_m2\":5.456881404998812e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fe17646f9a862a8\",\"char_mass_removed_kg_per_m2\":0.0e0,\"char_mass_removed_kg_per_m2_hex\":\"0000000000000000\",\"inside_arc_jet_comparison\":0.0e0,\"inside_arc_jet_comparison_hex\":\"0000000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":0.0e0,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"0000000000000000\",\"cells\":1.95e2,\"cells_hex\":\"4068600000000000\",\"cells_at_end\":1.95e2,\"cells_at_end_hex\":\"4068600000000000\",\"time_steps\":3.251e3,\"time_steps_hex\":\"40a9660000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":-1.816079020500183e-8,\"energy_account_residual_j_per_m2_hex\":\"be53800000000000\",\"energy_account_tolerance_j_per_m2\":3.902469230992547e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fa3fb0b626a4993\",\"face_balance_residual_j_per_m2\":0.0e0,\"face_balance_residual_j_per_m2_hex\":\"0000000000000000\",\"face_balance_tolerance_j_per_m2\":0.0e0,\"face_balance_tolerance_j_per_m2_hex\":\"0000000000000000\",\"mass_account_residual_kg_per_m2\":-4.440892098500626e-15,\"mass_account_residual_kg_per_m2_hex\":\"bcf4000000000000\",\"mass_account_tolerance_kg_per_m2\":4.506547158454056e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e6831c052122198\"},\"field_sha256\":\"e6f80adaf0ff792d64005c43e5c69ed027e1fe5979adebf89dc1521690c8e0a8\",\"seal_parts\":{\"inputs\":\"d46a3202241067296646e4bf1ed5d49ee6caad44328e842779bae51fd7339c81\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"11742d7739404d2d169921f3722b2f716d8b490c85cf29c874e8c379479d74b7\",\"invariants\":\"652a6a2f21d13580ec390efc85f4bda9896defe7b99a19d3189650047bfa82ac\",\"field_sha256\":\"ccba267d0984bcf51a8bad5f3eb42750b75a9273b1b6fcf897f7ebe808002413\",\"outcome\":\"7a4bcff282777adad24ebf4a2720438b30a13e31e83b3d1ef307d5cf2cb75d6a\"},\"solution_seal\":\"b92bfb2695b5bbb91333a6d91cd033fac2b67af982e75c8ae03122006ee61b79\",\"receipt_sha256\":\"b9a17d56ef708d87407e16ae1a9ce11ce1674e7c0b9e42f99aa1c5b7a9ed66e4\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"TACOT 3.0\", \"thickness_m\": 0.05, \"start_temperature_k\": 298.0, \"thermocouple_depths_m\": [0.05000000000000001, 0.002, 0.004, 0.008, 0.016, 0.05], \"face\": \"held_temperature\", \"held_temperature_k\": 1644.0, \"hold_duration_s\": 60.0, \"continue_after_s\": 0.0, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: thermocouple 0 at depth 0.05000000000000001 m is not inside the slab (ThermocoupleOutsideSlab).", "outside_answer_is_error": true}
{"id": "edge-2c6047ffecdd", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve", "input": "parameters.thermocouple_depths_m[2]", "input_unit": "m", "whole_number_input": false, "base_value": 0.004, "edge_kind": "declared_limit", "direction": "up", "inside_value": 0.05, "inside_value_hex": "3fa999999999999a", "outside_value": 0.05000000000000001, "outside_value_hex": "3fa999999999999b", "width": 6.938893903907228e-18, "adjacent_64_bit_numbers": true, "stop_name": "ThermocoupleOutsideSlab", "stop_sentence": "Physical Violation: thermocouple 2 at depth 0.05000000000000001 m is not inside the slab (ThermocoupleOutsideSlab).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3251, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "7a7521b203d1b16e2a09ae973f0f84879f90bd05f0687796e03bd27156344cef", "outside_proof": null, "inside_receipt": "211d117eb9d1aadac1869034a8e6885daf30cb07f9844716111f87184021fe77", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:39:55Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"TACOT 3.0\", \"thickness_m\": 0.05, \"start_temperature_k\": 298.0, \"thermocouple_depths_m\": [0.001, 0.002, 0.05, 0.008, 0.016, 0.05], \"face\": \"held_temperature\", \"held_temperature_k\": 1644.0, \"hold_duration_s\": 60.0, \"continue_after_s\": 0.0, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"TACOT 3.0\",\"thickness_m\":0.05,\"start_temperature_k\":298.0,\"thermocouple_depths_m\":[0.001,0.002,0.05,0.008,0.016,0.05],\"face\":\"held_temperature\",\"held_temperature_k\":1644.0,\"hold_duration_s\":60.0,\"continue_after_s\":0.0,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3251,\"result\":{\"material_compared_with_measurement\":0.0e0,\"material_compared_with_measurement_hex\":\"0000000000000000\",\"duration_s\":6.0e1,\"duration_s_hex\":\"404e000000000000\",\"wear_m\":0.0e0,\"wear_m_hex\":\"0000000000000000\",\"peak_face_temperature_k\":1.644e3,\"peak_face_temperature_k_hex\":\"4099b00000000000\",\"peak_face_temperature_at_s\":1.0e0,\"peak_face_temperature_at_s_hex\":\"3ff0000000000000\",\"final_face_temperature_k\":1.644e3,\"final_face_temperature_k_hex\":\"4099b00000000000\",\"final_back_temperature_k\":2.983152358280761e2,\"final_back_temperature_k_hex\":\"4072a50b34b941d4\",\"depth_half_way_to_virgin_m\":8.670520861753614e-3,\"depth_half_way_to_virgin_m_hex\":\"3f81c1d99c52fad8\",\"depth_within_2_percent_of_virgin_m\":1.3235467575395975e-2,\"depth_within_2_percent_of_virgin_m_hex\":\"3f8b1b32631199cc\",\"heat_from_stream_j_per_m2\":0.0e0,\"heat_from_stream_j_per_m2_hex\":\"0000000000000000\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":0.0e0,\"heat_radiated_away_j_per_m2_hex\":\"0000000000000000\",\"heat_taken_at_face_by_gases_j_per_m2\":0.0e0,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"0000000000000000\",\"heat_in_through_face_j_per_m2\":8.125683161785969e6,\"heat_in_through_face_j_per_m2_hex\":\"415eff3cca5ab389\",\"heat_stored_in_solid_j_per_m2\":4.961048124905029e6,\"heat_stored_in_solid_j_per_m2_hex\":\"4152ecc607fe71aa\",\"heat_taken_by_gas_j_per_m2\":3.5331804973459607e6,\"heat_taken_by_gas_j_per_m2_hex\":\"414af4be3fa9084e\",\"heat_given_off_by_decomposition_j_per_m2\":3.685454604650397e5,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"41167e85d78425ba\",\"char_enthalpy_removed_j_per_m2\":0.0e0,\"char_enthalpy_removed_j_per_m2_hex\":\"0000000000000000\",\"solid_mass_lost_kg_per_m2\":5.456881404998768e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3fe17646f9a86280\",\"gas_mass_out_kg_per_m2\":5.456881404998812e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fe17646f9a862a8\",\"char_mass_removed_kg_per_m2\":0.0e0,\"char_mass_removed_kg_per_m2_hex\":\"0000000000000000\",\"inside_arc_jet_comparison\":0.0e0,\"inside_arc_jet_comparison_hex\":\"0000000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":0.0e0,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"0000000000000000\",\"cells\":1.95e2,\"cells_hex\":\"4068600000000000\",\"cells_at_end\":1.95e2,\"cells_at_end_hex\":\"4068600000000000\",\"time_steps\":3.251e3,\"time_steps_hex\":\"40a9660000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":-1.816079020500183e-8,\"energy_account_residual_j_per_m2_hex\":\"be53800000000000\",\"energy_account_tolerance_j_per_m2\":3.902469230992547e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fa3fb0b626a4993\",\"face_balance_residual_j_per_m2\":0.0e0,\"face_balance_residual_j_per_m2_hex\":\"0000000000000000\",\"face_balance_tolerance_j_per_m2\":0.0e0,\"face_balance_tolerance_j_per_m2_hex\":\"0000000000000000\",\"mass_account_residual_kg_per_m2\":-4.440892098500626e-15,\"mass_account_residual_kg_per_m2_hex\":\"bcf4000000000000\",\"mass_account_tolerance_kg_per_m2\":4.506547158454056e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e6831c052122198\"},\"field_sha256\":\"e6f80adaf0ff792d64005c43e5c69ed027e1fe5979adebf89dc1521690c8e0a8\",\"seal_parts\":{\"inputs\":\"aebf80c3392388f208da76f30ec7e0c5a653f5eca88173153db1ae9c9e599ba0\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"11742d7739404d2d169921f3722b2f716d8b490c85cf29c874e8c379479d74b7\",\"invariants\":\"652a6a2f21d13580ec390efc85f4bda9896defe7b99a19d3189650047bfa82ac\",\"field_sha256\":\"ccba267d0984bcf51a8bad5f3eb42750b75a9273b1b6fcf897f7ebe808002413\",\"outcome\":\"7a4bcff282777adad24ebf4a2720438b30a13e31e83b3d1ef307d5cf2cb75d6a\"},\"solution_seal\":\"7a7521b203d1b16e2a09ae973f0f84879f90bd05f0687796e03bd27156344cef\",\"receipt_sha256\":\"211d117eb9d1aadac1869034a8e6885daf30cb07f9844716111f87184021fe77\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"TACOT 3.0\", \"thickness_m\": 0.05, \"start_temperature_k\": 298.0, \"thermocouple_depths_m\": [0.001, 0.002, 0.05000000000000001, 0.008, 0.016, 0.05], \"face\": \"held_temperature\", \"held_temperature_k\": 1644.0, \"hold_duration_s\": 60.0, \"continue_after_s\": 0.0, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: thermocouple 2 at depth 0.05000000000000001 m is not inside the slab (ThermocoupleOutsideSlab).", "outside_answer_is_error": true}
{"id": "edge-f8a3574e326d", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve", "input": "parameters.thermocouple_depths_m[1]", "input_unit": "m", "whole_number_input": false, "base_value": 0.002, "edge_kind": "declared_limit", "direction": "up", "inside_value": 0.05, "inside_value_hex": "3fa999999999999a", "outside_value": 0.05000000000000001, "outside_value_hex": "3fa999999999999b", "width": 6.938893903907228e-18, "adjacent_64_bit_numbers": true, "stop_name": "ThermocoupleOutsideSlab", "stop_sentence": "Physical Violation: thermocouple 1 at depth 0.05000000000000001 m is not inside the slab (ThermocoupleOutsideSlab).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3251, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "bdef34aebe5500b921f03ad8fb564fd459fb9c145a913d7307e6f3ef415b6808", "outside_proof": null, "inside_receipt": "d4433e48eba020d052f8a18b1e343eddbaa740065b197b345cb406e4a0bc88e7", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:39:57Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"TACOT 3.0\", \"thickness_m\": 0.05, \"start_temperature_k\": 298.0, \"thermocouple_depths_m\": [0.001, 0.05, 0.004, 0.008, 0.016, 0.05], \"face\": \"held_temperature\", \"held_temperature_k\": 1644.0, \"hold_duration_s\": 60.0, \"continue_after_s\": 0.0, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"TACOT 3.0\",\"thickness_m\":0.05,\"start_temperature_k\":298.0,\"thermocouple_depths_m\":[0.001,0.05,0.004,0.008,0.016,0.05],\"face\":\"held_temperature\",\"held_temperature_k\":1644.0,\"hold_duration_s\":60.0,\"continue_after_s\":0.0,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3251,\"result\":{\"material_compared_with_measurement\":0.0e0,\"material_compared_with_measurement_hex\":\"0000000000000000\",\"duration_s\":6.0e1,\"duration_s_hex\":\"404e000000000000\",\"wear_m\":0.0e0,\"wear_m_hex\":\"0000000000000000\",\"peak_face_temperature_k\":1.644e3,\"peak_face_temperature_k_hex\":\"4099b00000000000\",\"peak_face_temperature_at_s\":1.0e0,\"peak_face_temperature_at_s_hex\":\"3ff0000000000000\",\"final_face_temperature_k\":1.644e3,\"final_face_temperature_k_hex\":\"4099b00000000000\",\"final_back_temperature_k\":2.983152358280761e2,\"final_back_temperature_k_hex\":\"4072a50b34b941d4\",\"depth_half_way_to_virgin_m\":8.670520861753614e-3,\"depth_half_way_to_virgin_m_hex\":\"3f81c1d99c52fad8\",\"depth_within_2_percent_of_virgin_m\":1.3235467575395975e-2,\"depth_within_2_percent_of_virgin_m_hex\":\"3f8b1b32631199cc\",\"heat_from_stream_j_per_m2\":0.0e0,\"heat_from_stream_j_per_m2_hex\":\"0000000000000000\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":0.0e0,\"heat_radiated_away_j_per_m2_hex\":\"0000000000000000\",\"heat_taken_at_face_by_gases_j_per_m2\":0.0e0,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"0000000000000000\",\"heat_in_through_face_j_per_m2\":8.125683161785969e6,\"heat_in_through_face_j_per_m2_hex\":\"415eff3cca5ab389\",\"heat_stored_in_solid_j_per_m2\":4.961048124905029e6,\"heat_stored_in_solid_j_per_m2_hex\":\"4152ecc607fe71aa\",\"heat_taken_by_gas_j_per_m2\":3.5331804973459607e6,\"heat_taken_by_gas_j_per_m2_hex\":\"414af4be3fa9084e\",\"heat_given_off_by_decomposition_j_per_m2\":3.685454604650397e5,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"41167e85d78425ba\",\"char_enthalpy_removed_j_per_m2\":0.0e0,\"char_enthalpy_removed_j_per_m2_hex\":\"0000000000000000\",\"solid_mass_lost_kg_per_m2\":5.456881404998768e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3fe17646f9a86280\",\"gas_mass_out_kg_per_m2\":5.456881404998812e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fe17646f9a862a8\",\"char_mass_removed_kg_per_m2\":0.0e0,\"char_mass_removed_kg_per_m2_hex\":\"0000000000000000\",\"inside_arc_jet_comparison\":0.0e0,\"inside_arc_jet_comparison_hex\":\"0000000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":0.0e0,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"0000000000000000\",\"cells\":1.95e2,\"cells_hex\":\"4068600000000000\",\"cells_at_end\":1.95e2,\"cells_at_end_hex\":\"4068600000000000\",\"time_steps\":3.251e3,\"time_steps_hex\":\"40a9660000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":-1.816079020500183e-8,\"energy_account_residual_j_per_m2_hex\":\"be53800000000000\",\"energy_account_tolerance_j_per_m2\":3.902469230992547e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fa3fb0b626a4993\",\"face_balance_residual_j_per_m2\":0.0e0,\"face_balance_residual_j_per_m2_hex\":\"0000000000000000\",\"face_balance_tolerance_j_per_m2\":0.0e0,\"face_balance_tolerance_j_per_m2_hex\":\"0000000000000000\",\"mass_account_residual_kg_per_m2\":-4.440892098500626e-15,\"mass_account_residual_kg_per_m2_hex\":\"bcf4000000000000\",\"mass_account_tolerance_kg_per_m2\":4.506547158454056e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e6831c052122198\"},\"field_sha256\":\"e6f80adaf0ff792d64005c43e5c69ed027e1fe5979adebf89dc1521690c8e0a8\",\"seal_parts\":{\"inputs\":\"5ab3f03ab47fd9516f8ca51cd230e38242f40c121c7b5d1d7b2ace31743db36f\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"11742d7739404d2d169921f3722b2f716d8b490c85cf29c874e8c379479d74b7\",\"invariants\":\"652a6a2f21d13580ec390efc85f4bda9896defe7b99a19d3189650047bfa82ac\",\"field_sha256\":\"ccba267d0984bcf51a8bad5f3eb42750b75a9273b1b6fcf897f7ebe808002413\",\"outcome\":\"7a4bcff282777adad24ebf4a2720438b30a13e31e83b3d1ef307d5cf2cb75d6a\"},\"solution_seal\":\"bdef34aebe5500b921f03ad8fb564fd459fb9c145a913d7307e6f3ef415b6808\",\"receipt_sha256\":\"d4433e48eba020d052f8a18b1e343eddbaa740065b197b345cb406e4a0bc88e7\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"TACOT 3.0\", \"thickness_m\": 0.05, \"start_temperature_k\": 298.0, \"thermocouple_depths_m\": [0.001, 0.05000000000000001, 0.004, 0.008, 0.016, 0.05], \"face\": \"held_temperature\", \"held_temperature_k\": 1644.0, \"hold_duration_s\": 60.0, \"continue_after_s\": 0.0, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: thermocouple 1 at depth 0.05000000000000001 m is not inside the slab (ThermocoupleOutsideSlab).", "outside_answer_is_error": true}
{"id": "edge-6e028cc83edc", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve", "input": "parameters.thermocouple_depths_m[3]", "input_unit": "m", "whole_number_input": false, "base_value": 0.008, "edge_kind": "declared_limit", "direction": "up", "inside_value": 0.05, "inside_value_hex": "3fa999999999999a", "outside_value": 0.05000000000000001, "outside_value_hex": "3fa999999999999b", "width": 6.938893903907228e-18, "adjacent_64_bit_numbers": true, "stop_name": "ThermocoupleOutsideSlab", "stop_sentence": "Physical Violation: thermocouple 3 at depth 0.05000000000000001 m is not inside the slab (ThermocoupleOutsideSlab).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3251, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "38bcfcefa20ae6572f8cdd3275481612b0dfa6f091082587156b2e533fe9950d", "outside_proof": null, "inside_receipt": "4ab0ec59dd5ef6dc969e560a6e0cfeba415418156e53c55aaa2d985c8481ed79", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:39:59Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"TACOT 3.0\", \"thickness_m\": 0.05, \"start_temperature_k\": 298.0, \"thermocouple_depths_m\": [0.001, 0.002, 0.004, 0.05, 0.016, 0.05], \"face\": \"held_temperature\", \"held_temperature_k\": 1644.0, \"hold_duration_s\": 60.0, \"continue_after_s\": 0.0, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"TACOT 3.0\",\"thickness_m\":0.05,\"start_temperature_k\":298.0,\"thermocouple_depths_m\":[0.001,0.002,0.004,0.05,0.016,0.05],\"face\":\"held_temperature\",\"held_temperature_k\":1644.0,\"hold_duration_s\":60.0,\"continue_after_s\":0.0,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3251,\"result\":{\"material_compared_with_measurement\":0.0e0,\"material_compared_with_measurement_hex\":\"0000000000000000\",\"duration_s\":6.0e1,\"duration_s_hex\":\"404e000000000000\",\"wear_m\":0.0e0,\"wear_m_hex\":\"0000000000000000\",\"peak_face_temperature_k\":1.644e3,\"peak_face_temperature_k_hex\":\"4099b00000000000\",\"peak_face_temperature_at_s\":1.0e0,\"peak_face_temperature_at_s_hex\":\"3ff0000000000000\",\"final_face_temperature_k\":1.644e3,\"final_face_temperature_k_hex\":\"4099b00000000000\",\"final_back_temperature_k\":2.983152358280761e2,\"final_back_temperature_k_hex\":\"4072a50b34b941d4\",\"depth_half_way_to_virgin_m\":8.670520861753614e-3,\"depth_half_way_to_virgin_m_hex\":\"3f81c1d99c52fad8\",\"depth_within_2_percent_of_virgin_m\":1.3235467575395975e-2,\"depth_within_2_percent_of_virgin_m_hex\":\"3f8b1b32631199cc\",\"heat_from_stream_j_per_m2\":0.0e0,\"heat_from_stream_j_per_m2_hex\":\"0000000000000000\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":0.0e0,\"heat_radiated_away_j_per_m2_hex\":\"0000000000000000\",\"heat_taken_at_face_by_gases_j_per_m2\":0.0e0,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"0000000000000000\",\"heat_in_through_face_j_per_m2\":8.125683161785969e6,\"heat_in_through_face_j_per_m2_hex\":\"415eff3cca5ab389\",\"heat_stored_in_solid_j_per_m2\":4.961048124905029e6,\"heat_stored_in_solid_j_per_m2_hex\":\"4152ecc607fe71aa\",\"heat_taken_by_gas_j_per_m2\":3.5331804973459607e6,\"heat_taken_by_gas_j_per_m2_hex\":\"414af4be3fa9084e\",\"heat_given_off_by_decomposition_j_per_m2\":3.685454604650397e5,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"41167e85d78425ba\",\"char_enthalpy_removed_j_per_m2\":0.0e0,\"char_enthalpy_removed_j_per_m2_hex\":\"0000000000000000\",\"solid_mass_lost_kg_per_m2\":5.456881404998768e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3fe17646f9a86280\",\"gas_mass_out_kg_per_m2\":5.456881404998812e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fe17646f9a862a8\",\"char_mass_removed_kg_per_m2\":0.0e0,\"char_mass_removed_kg_per_m2_hex\":\"0000000000000000\",\"inside_arc_jet_comparison\":0.0e0,\"inside_arc_jet_comparison_hex\":\"0000000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":0.0e0,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"0000000000000000\",\"cells\":1.95e2,\"cells_hex\":\"4068600000000000\",\"cells_at_end\":1.95e2,\"cells_at_end_hex\":\"4068600000000000\",\"time_steps\":3.251e3,\"time_steps_hex\":\"40a9660000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":-1.816079020500183e-8,\"energy_account_residual_j_per_m2_hex\":\"be53800000000000\",\"energy_account_tolerance_j_per_m2\":3.902469230992547e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fa3fb0b626a4993\",\"face_balance_residual_j_per_m2\":0.0e0,\"face_balance_residual_j_per_m2_hex\":\"0000000000000000\",\"face_balance_tolerance_j_per_m2\":0.0e0,\"face_balance_tolerance_j_per_m2_hex\":\"0000000000000000\",\"mass_account_residual_kg_per_m2\":-4.440892098500626e-15,\"mass_account_residual_kg_per_m2_hex\":\"bcf4000000000000\",\"mass_account_tolerance_kg_per_m2\":4.506547158454056e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e6831c052122198\"},\"field_sha256\":\"e6f80adaf0ff792d64005c43e5c69ed027e1fe5979adebf89dc1521690c8e0a8\",\"seal_parts\":{\"inputs\":\"f7d8e223f6227478e12f68ef42a6c0fabf8da139705726f42e50f6e294cd43b8\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"11742d7739404d2d169921f3722b2f716d8b490c85cf29c874e8c379479d74b7\",\"invariants\":\"652a6a2f21d13580ec390efc85f4bda9896defe7b99a19d3189650047bfa82ac\",\"field_sha256\":\"ccba267d0984bcf51a8bad5f3eb42750b75a9273b1b6fcf897f7ebe808002413\",\"outcome\":\"7a4bcff282777adad24ebf4a2720438b30a13e31e83b3d1ef307d5cf2cb75d6a\"},\"solution_seal\":\"38bcfcefa20ae6572f8cdd3275481612b0dfa6f091082587156b2e533fe9950d\",\"receipt_sha256\":\"4ab0ec59dd5ef6dc969e560a6e0cfeba415418156e53c55aaa2d985c8481ed79\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"TACOT 3.0\", \"thickness_m\": 0.05, \"start_temperature_k\": 298.0, \"thermocouple_depths_m\": [0.001, 0.002, 0.004, 0.05000000000000001, 0.016, 0.05], \"face\": \"held_temperature\", \"held_temperature_k\": 1644.0, \"hold_duration_s\": 60.0, \"continue_after_s\": 0.0, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: thermocouple 3 at depth 0.05000000000000001 m is not inside the slab (ThermocoupleOutsideSlab).", "outside_answer_is_error": true}
{"id": "edge-a8312439f601", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve", "input": "parameters.thermocouple_depths_m[4]", "input_unit": "m", "whole_number_input": false, "base_value": 0.016, "edge_kind": "declared_limit", "direction": "up", "inside_value": 0.05, "inside_value_hex": "3fa999999999999a", "outside_value": 0.05000000000000001, "outside_value_hex": "3fa999999999999b", "width": 6.938893903907228e-18, "adjacent_64_bit_numbers": true, "stop_name": "ThermocoupleOutsideSlab", "stop_sentence": "Physical Violation: thermocouple 4 at depth 0.05000000000000001 m is not inside the slab (ThermocoupleOutsideSlab).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3251, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "ffc57bc0f60fcacc67c2c966b50765f2dab4f8e8500fb94781d00f369fb6a1a2", "outside_proof": null, "inside_receipt": "5a6c7f3d02b079bb7cecdd148433ee022dcf59bca46fec00fc861a30538290a7", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:40:02Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"TACOT 3.0\", \"thickness_m\": 0.05, \"start_temperature_k\": 298.0, \"thermocouple_depths_m\": [0.001, 0.002, 0.004, 0.008, 0.05, 0.05], \"face\": \"held_temperature\", \"held_temperature_k\": 1644.0, \"hold_duration_s\": 60.0, \"continue_after_s\": 0.0, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"TACOT 3.0\",\"thickness_m\":0.05,\"start_temperature_k\":298.0,\"thermocouple_depths_m\":[0.001,0.002,0.004,0.008,0.05,0.05],\"face\":\"held_temperature\",\"held_temperature_k\":1644.0,\"hold_duration_s\":60.0,\"continue_after_s\":0.0,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3251,\"result\":{\"material_compared_with_measurement\":0.0e0,\"material_compared_with_measurement_hex\":\"0000000000000000\",\"duration_s\":6.0e1,\"duration_s_hex\":\"404e000000000000\",\"wear_m\":0.0e0,\"wear_m_hex\":\"0000000000000000\",\"peak_face_temperature_k\":1.644e3,\"peak_face_temperature_k_hex\":\"4099b00000000000\",\"peak_face_temperature_at_s\":1.0e0,\"peak_face_temperature_at_s_hex\":\"3ff0000000000000\",\"final_face_temperature_k\":1.644e3,\"final_face_temperature_k_hex\":\"4099b00000000000\",\"final_back_temperature_k\":2.983152358280761e2,\"final_back_temperature_k_hex\":\"4072a50b34b941d4\",\"depth_half_way_to_virgin_m\":8.670520861753614e-3,\"depth_half_way_to_virgin_m_hex\":\"3f81c1d99c52fad8\",\"depth_within_2_percent_of_virgin_m\":1.3235467575395975e-2,\"depth_within_2_percent_of_virgin_m_hex\":\"3f8b1b32631199cc\",\"heat_from_stream_j_per_m2\":0.0e0,\"heat_from_stream_j_per_m2_hex\":\"0000000000000000\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":0.0e0,\"heat_radiated_away_j_per_m2_hex\":\"0000000000000000\",\"heat_taken_at_face_by_gases_j_per_m2\":0.0e0,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"0000000000000000\",\"heat_in_through_face_j_per_m2\":8.125683161785969e6,\"heat_in_through_face_j_per_m2_hex\":\"415eff3cca5ab389\",\"heat_stored_in_solid_j_per_m2\":4.961048124905029e6,\"heat_stored_in_solid_j_per_m2_hex\":\"4152ecc607fe71aa\",\"heat_taken_by_gas_j_per_m2\":3.5331804973459607e6,\"heat_taken_by_gas_j_per_m2_hex\":\"414af4be3fa9084e\",\"heat_given_off_by_decomposition_j_per_m2\":3.685454604650397e5,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"41167e85d78425ba\",\"char_enthalpy_removed_j_per_m2\":0.0e0,\"char_enthalpy_removed_j_per_m2_hex\":\"0000000000000000\",\"solid_mass_lost_kg_per_m2\":5.456881404998768e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3fe17646f9a86280\",\"gas_mass_out_kg_per_m2\":5.456881404998812e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fe17646f9a862a8\",\"char_mass_removed_kg_per_m2\":0.0e0,\"char_mass_removed_kg_per_m2_hex\":\"0000000000000000\",\"inside_arc_jet_comparison\":0.0e0,\"inside_arc_jet_comparison_hex\":\"0000000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":0.0e0,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"0000000000000000\",\"cells\":1.95e2,\"cells_hex\":\"4068600000000000\",\"cells_at_end\":1.95e2,\"cells_at_end_hex\":\"4068600000000000\",\"time_steps\":3.251e3,\"time_steps_hex\":\"40a9660000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":-1.816079020500183e-8,\"energy_account_residual_j_per_m2_hex\":\"be53800000000000\",\"energy_account_tolerance_j_per_m2\":3.902469230992547e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fa3fb0b626a4993\",\"face_balance_residual_j_per_m2\":0.0e0,\"face_balance_residual_j_per_m2_hex\":\"0000000000000000\",\"face_balance_tolerance_j_per_m2\":0.0e0,\"face_balance_tolerance_j_per_m2_hex\":\"0000000000000000\",\"mass_account_residual_kg_per_m2\":-4.440892098500626e-15,\"mass_account_residual_kg_per_m2_hex\":\"bcf4000000000000\",\"mass_account_tolerance_kg_per_m2\":4.506547158454056e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e6831c052122198\"},\"field_sha256\":\"e6f80adaf0ff792d64005c43e5c69ed027e1fe5979adebf89dc1521690c8e0a8\",\"seal_parts\":{\"inputs\":\"5316195a32920b146ccc525381abe70c29e2992699788c87bf6e22002b0266b2\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"11742d7739404d2d169921f3722b2f716d8b490c85cf29c874e8c379479d74b7\",\"invariants\":\"652a6a2f21d13580ec390efc85f4bda9896defe7b99a19d3189650047bfa82ac\",\"field_sha256\":\"ccba267d0984bcf51a8bad5f3eb42750b75a9273b1b6fcf897f7ebe808002413\",\"outcome\":\"7a4bcff282777adad24ebf4a2720438b30a13e31e83b3d1ef307d5cf2cb75d6a\"},\"solution_seal\":\"ffc57bc0f60fcacc67c2c966b50765f2dab4f8e8500fb94781d00f369fb6a1a2\",\"receipt_sha256\":\"5a6c7f3d02b079bb7cecdd148433ee022dcf59bca46fec00fc861a30538290a7\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"TACOT 3.0\", \"thickness_m\": 0.05, \"start_temperature_k\": 298.0, \"thermocouple_depths_m\": [0.001, 0.002, 0.004, 0.008, 0.05000000000000001, 0.05], \"face\": \"held_temperature\", \"held_temperature_k\": 1644.0, \"hold_duration_s\": 60.0, \"continue_after_s\": 0.0, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: thermocouple 4 at depth 0.05000000000000001 m is not inside the slab (ThermocoupleOutsideSlab).", "outside_answer_is_error": true}
{"id": "edge-1019f4368076", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve", "input": "parameters.thermocouple_depths_m[5]", "input_unit": "m", "whole_number_input": false, "base_value": 0.05, "edge_kind": "declared_limit", "direction": "up", "inside_value": 0.05, "inside_value_hex": "3fa999999999999a", "outside_value": 0.05000000000000001, "outside_value_hex": "3fa999999999999b", "width": 6.938893903907228e-18, "adjacent_64_bit_numbers": true, "stop_name": "ThermocoupleOutsideSlab", "stop_sentence": "Physical Violation: thermocouple 5 at depth 0.05000000000000001 m is not inside the slab (ThermocoupleOutsideSlab).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3251, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "40169ddadb42afab4c9361e9c3230d864650df8773aedffef2230c35a4d7cc26", "outside_proof": null, "inside_receipt": "66391557fb3a9e9f340cc386f48f571170ffdfcca351716251e79946b676f6f2", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:39:42Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"TACOT 3.0\", \"thickness_m\": 0.05, \"start_temperature_k\": 298.0, \"thermocouple_depths_m\": [0.001, 0.002, 0.004, 0.008, 0.016, 0.05], \"face\": \"held_temperature\", \"held_temperature_k\": 1644.0, \"hold_duration_s\": 60.0, \"continue_after_s\": 0.0, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"TACOT 3.0\",\"thickness_m\":0.05,\"start_temperature_k\":298.0,\"thermocouple_depths_m\":[0.001,0.002,0.004,0.008,0.016,0.05],\"face\":\"held_temperature\",\"held_temperature_k\":1644.0,\"hold_duration_s\":60.0,\"continue_after_s\":0.0,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3251,\"result\":{\"material_compared_with_measurement\":0.0e0,\"material_compared_with_measurement_hex\":\"0000000000000000\",\"duration_s\":6.0e1,\"duration_s_hex\":\"404e000000000000\",\"wear_m\":0.0e0,\"wear_m_hex\":\"0000000000000000\",\"peak_face_temperature_k\":1.644e3,\"peak_face_temperature_k_hex\":\"4099b00000000000\",\"peak_face_temperature_at_s\":1.0e0,\"peak_face_temperature_at_s_hex\":\"3ff0000000000000\",\"final_face_temperature_k\":1.644e3,\"final_face_temperature_k_hex\":\"4099b00000000000\",\"final_back_temperature_k\":2.983152358280761e2,\"final_back_temperature_k_hex\":\"4072a50b34b941d4\",\"depth_half_way_to_virgin_m\":8.670520861753614e-3,\"depth_half_way_to_virgin_m_hex\":\"3f81c1d99c52fad8\",\"depth_within_2_percent_of_virgin_m\":1.3235467575395975e-2,\"depth_within_2_percent_of_virgin_m_hex\":\"3f8b1b32631199cc\",\"heat_from_stream_j_per_m2\":0.0e0,\"heat_from_stream_j_per_m2_hex\":\"0000000000000000\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":0.0e0,\"heat_radiated_away_j_per_m2_hex\":\"0000000000000000\",\"heat_taken_at_face_by_gases_j_per_m2\":0.0e0,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"0000000000000000\",\"heat_in_through_face_j_per_m2\":8.125683161785969e6,\"heat_in_through_face_j_per_m2_hex\":\"415eff3cca5ab389\",\"heat_stored_in_solid_j_per_m2\":4.961048124905029e6,\"heat_stored_in_solid_j_per_m2_hex\":\"4152ecc607fe71aa\",\"heat_taken_by_gas_j_per_m2\":3.5331804973459607e6,\"heat_taken_by_gas_j_per_m2_hex\":\"414af4be3fa9084e\",\"heat_given_off_by_decomposition_j_per_m2\":3.685454604650397e5,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"41167e85d78425ba\",\"char_enthalpy_removed_j_per_m2\":0.0e0,\"char_enthalpy_removed_j_per_m2_hex\":\"0000000000000000\",\"solid_mass_lost_kg_per_m2\":5.456881404998768e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3fe17646f9a86280\",\"gas_mass_out_kg_per_m2\":5.456881404998812e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fe17646f9a862a8\",\"char_mass_removed_kg_per_m2\":0.0e0,\"char_mass_removed_kg_per_m2_hex\":\"0000000000000000\",\"inside_arc_jet_comparison\":0.0e0,\"inside_arc_jet_comparison_hex\":\"0000000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":0.0e0,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"0000000000000000\",\"cells\":1.95e2,\"cells_hex\":\"4068600000000000\",\"cells_at_end\":1.95e2,\"cells_at_end_hex\":\"4068600000000000\",\"time_steps\":3.251e3,\"time_steps_hex\":\"40a9660000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":-1.816079020500183e-8,\"energy_account_residual_j_per_m2_hex\":\"be53800000000000\",\"energy_account_tolerance_j_per_m2\":3.902469230992547e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fa3fb0b626a4993\",\"face_balance_residual_j_per_m2\":0.0e0,\"face_balance_residual_j_per_m2_hex\":\"0000000000000000\",\"face_balance_tolerance_j_per_m2\":0.0e0,\"face_balance_tolerance_j_per_m2_hex\":\"0000000000000000\",\"mass_account_residual_kg_per_m2\":-4.440892098500626e-15,\"mass_account_residual_kg_per_m2_hex\":\"bcf4000000000000\",\"mass_account_tolerance_kg_per_m2\":4.506547158454056e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e6831c052122198\"},\"field_sha256\":\"e6f80adaf0ff792d64005c43e5c69ed027e1fe5979adebf89dc1521690c8e0a8\",\"seal_parts\":{\"inputs\":\"f274e1a1841d94b57b77cb7551e7b2985ae75cc8985c9d4abda5a4fcbfafdec9\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"11742d7739404d2d169921f3722b2f716d8b490c85cf29c874e8c379479d74b7\",\"invariants\":\"652a6a2f21d13580ec390efc85f4bda9896defe7b99a19d3189650047bfa82ac\",\"field_sha256\":\"ccba267d0984bcf51a8bad5f3eb42750b75a9273b1b6fcf897f7ebe808002413\",\"outcome\":\"7a4bcff282777adad24ebf4a2720438b30a13e31e83b3d1ef307d5cf2cb75d6a\"},\"solution_seal\":\"40169ddadb42afab4c9361e9c3230d864650df8773aedffef2230c35a4d7cc26\",\"receipt_sha256\":\"66391557fb3a9e9f340cc386f48f571170ffdfcca351716251e79946b676f6f2\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"TACOT 3.0\", \"thickness_m\": 0.05, \"start_temperature_k\": 298.0, \"thermocouple_depths_m\": [0.001, 0.002, 0.004, 0.008, 0.016, 0.05000000000000001], \"face\": \"held_temperature\", \"held_temperature_k\": 1644.0, \"hold_duration_s\": 60.0, \"continue_after_s\": 0.0, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: thermocouple 5 at depth 0.05000000000000001 m is not inside the slab (ThermocoupleOutsideSlab).", "outside_answer_is_error": true}
{"id": "edge-74180c9b665d", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve", "input": "parameters.held_temperature_k", "input_unit": "K", "whole_number_input": false, "base_value": 1644.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 400.0, "inside_value_hex": "4079000000000000", "outside_value": 399.99999999999994, "outside_value_hex": "4078ffffffffffff", "width": 5.684341886080802e-14, "adjacent_64_bit_numbers": true, "stop_name": "HeldTemperatureOutOfRange", "stop_sentence": "Physical Violation: held temperature 399.99999999999994 K is outside 400..=3300 (HeldTemperatureOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3251, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "8b121c116ef2415582f7098e231728439a9b3313db9aef701a78bad6f58aab46", "outside_proof": null, "inside_receipt": "f88e2c095059d52d1720edb4d07863b96c518b45a76787070796c63a53109e64", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:40:05Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"TACOT 3.0\", \"thickness_m\": 0.05, \"start_temperature_k\": 298.0, \"thermocouple_depths_m\": [0.001, 0.002, 0.004, 0.008, 0.016, 0.05], \"face\": \"held_temperature\", \"held_temperature_k\": 400.0, \"hold_duration_s\": 60.0, \"continue_after_s\": 0.0, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"TACOT 3.0\",\"thickness_m\":0.05,\"start_temperature_k\":298.0,\"thermocouple_depths_m\":[0.001,0.002,0.004,0.008,0.016,0.05],\"face\":\"held_temperature\",\"held_temperature_k\":400.0,\"hold_duration_s\":60.0,\"continue_after_s\":0.0,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3251,\"result\":{\"material_compared_with_measurement\":0.0e0,\"material_compared_with_measurement_hex\":\"0000000000000000\",\"duration_s\":6.0e1,\"duration_s_hex\":\"404e000000000000\",\"wear_m\":0.0e0,\"wear_m_hex\":\"0000000000000000\",\"peak_face_temperature_k\":4.0e2,\"peak_face_temperature_k_hex\":\"4079000000000000\",\"peak_face_temperature_at_s\":1.0e0,\"peak_face_temperature_at_s_hex\":\"3ff0000000000000\",\"final_face_temperature_k\":4.0e2,\"final_face_temperature_k_hex\":\"4079000000000000\",\"final_back_temperature_k\":2.9803145737526427e2,\"final_back_temperature_k_hex\":\"4072a080d972dfa6\",\"depth_half_way_to_virgin_m\":0.0e0,\"depth_half_way_to_virgin_m_hex\":\"0000000000000000\",\"depth_within_2_percent_of_virgin_m\":0.0e0,\"depth_within_2_percent_of_virgin_m_hex\":\"0000000000000000\",\"heat_from_stream_j_per_m2\":0.0e0,\"heat_from_stream_j_per_m2_hex\":\"0000000000000000\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":0.0e0,\"heat_radiated_away_j_per_m2_hex\":\"0000000000000000\",\"heat_taken_at_face_by_gases_j_per_m2\":0.0e0,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"0000000000000000\",\"heat_in_through_face_j_per_m2\":3.107317245698894e5,\"heat_in_through_face_j_per_m2_hex\":\"4112f72ee5f5a62b\",\"heat_stored_in_solid_j_per_m2\":3.1079534140945744e5,\"heat_stored_in_solid_j_per_m2_hex\":\"4112f82d5d9a70d9\",\"heat_taken_by_gas_j_per_m2\":6.013031166877436e-1,\"heat_taken_by_gas_j_per_m2_hex\":\"3fe33de008a503f0\",\"heat_given_off_by_decomposition_j_per_m2\":6.421814268962387e1,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"40500df60cc172f2\",\"char_enthalpy_removed_j_per_m2\":0.0e0,\"char_enthalpy_removed_j_per_m2_hex\":\"0000000000000000\",\"solid_mass_lost_kg_per_m2\":2.0699007254876278e-5,\"solid_mass_lost_kg_per_m2_hex\":\"3ef5b458f2900000\",\"gas_mass_out_kg_per_m2\":2.069900725426958e-5,\"gas_mass_out_kg_per_m2_hex\":\"3ef5b458f28d4486\",\"char_mass_removed_kg_per_m2\":0.0e0,\"char_mass_removed_kg_per_m2_hex\":\"0000000000000000\",\"inside_arc_jet_comparison\":0.0e0,\"inside_arc_jet_comparison_hex\":\"0000000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":0.0e0,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"0000000000000000\",\"cells\":1.95e2,\"cells_hex\":\"4068600000000000\",\"cells_at_end\":1.95e2,\"cells_at_end_hex\":\"4068600000000000\",\"time_steps\":3.251e3,\"time_steps_hex\":\"40a9660000000000\",\"hardest_step_newton_passes\":3.0e0,\"hardest_step_newton_passes_hex\":\"4008000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":-4.9218744635481926e-9,\"energy_account_residual_j_per_m2_hex\":\"be3523a880000000\",\"energy_account_tolerance_j_per_m2\":3.8724721173795024e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fa3d3ba05f9f134\",\"face_balance_residual_j_per_m2\":0.0e0,\"face_balance_residual_j_per_m2_hex\":\"0000000000000000\",\"face_balance_tolerance_j_per_m2\":0.0e0,\"face_balance_tolerance_j_per_m2_hex\":\"0000000000000000\",\"mass_account_residual_kg_per_m2\":6.066992069321542e-16,\"mass_account_residual_kg_per_m2_hex\":\"3cc5dbd000000000\",\"mass_account_tolerance_kg_per_m2\":4.5513989979036e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e686f65289e9510\"},\"field_sha256\":\"07f83b041af439e1cf3b3c3536f507e617fae4702a1dee3aec08df89a3532fdd\",\"seal_parts\":{\"inputs\":\"435eb3cb55415bd463bc7c6012bf991b71c4c93ff5d3464ae0f996865d898bfd\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"405a45e0fb34396f0f209200d53c1fbd76faae66b94d2dbe11e6732510a11c87\",\"invariants\":\"796f798cb066e43eb037084216a8c54af019d080d44cf66ca3d4e7c2bde89e02\",\"field_sha256\":\"59537ad24ae01df15e702cb0adc379fe39fdb3210ff44c1139cd880ea1ca3053\",\"outcome\":\"7a4bcff282777adad24ebf4a2720438b30a13e31e83b3d1ef307d5cf2cb75d6a\"},\"solution_seal\":\"8b121c116ef2415582f7098e231728439a9b3313db9aef701a78bad6f58aab46\",\"receipt_sha256\":\"f88e2c095059d52d1720edb4d07863b96c518b45a76787070796c63a53109e64\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"TACOT 3.0\", \"thickness_m\": 0.05, \"start_temperature_k\": 298.0, \"thermocouple_depths_m\": [0.001, 0.002, 0.004, 0.008, 0.016, 0.05], \"face\": \"held_temperature\", \"held_temperature_k\": 399.99999999999994, \"hold_duration_s\": 60.0, \"continue_after_s\": 0.0, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: held temperature 399.99999999999994 K is outside 400..=3300 (HeldTemperatureOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-3cb02816ee82", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve", "input": "parameters.held_temperature_k", "input_unit": "K", "whole_number_input": false, "base_value": 1644.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 3300.0, "inside_value_hex": "40a9c80000000000", "outside_value": 3300.0000000000005, "outside_value_hex": "40a9c80000000001", "width": 4.547473508864641e-13, "adjacent_64_bit_numbers": true, "stop_name": "HeldTemperatureOutOfRange", "stop_sentence": "Physical Violation: held temperature 3300.0000000000005 K is outside 400..=3300 (HeldTemperatureOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3251, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "8dd4333e797ec6f7794e4378e49cf1e86801d8f1e4774fe8d194a3f3cfd8c532", "outside_proof": null, "inside_receipt": "7f38b3f11137d7aa5a4c63acc0703ffaa343e0d8a8c6a5d354cb8a0b27736c72", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:40:08Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"TACOT 3.0\", \"thickness_m\": 0.05, \"start_temperature_k\": 298.0, \"thermocouple_depths_m\": [0.001, 0.002, 0.004, 0.008, 0.016, 0.05], \"face\": \"held_temperature\", \"held_temperature_k\": 3300.0, \"hold_duration_s\": 60.0, \"continue_after_s\": 0.0, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"TACOT 3.0\",\"thickness_m\":0.05,\"start_temperature_k\":298.0,\"thermocouple_depths_m\":[0.001,0.002,0.004,0.008,0.016,0.05],\"face\":\"held_temperature\",\"held_temperature_k\":3300.0,\"hold_duration_s\":60.0,\"continue_after_s\":0.0,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3251,\"result\":{\"material_compared_with_measurement\":0.0e0,\"material_compared_with_measurement_hex\":\"0000000000000000\",\"duration_s\":6.0e1,\"duration_s_hex\":\"404e000000000000\",\"wear_m\":0.0e0,\"wear_m_hex\":\"0000000000000000\",\"peak_face_temperature_k\":3.3e3,\"peak_face_temperature_k_hex\":\"40a9c80000000000\",\"peak_face_temperature_at_s\":1.0e0,\"peak_face_temperature_at_s_hex\":\"3ff0000000000000\",\"final_face_temperature_k\":3.3e3,\"final_face_temperature_k_hex\":\"40a9c80000000000\",\"final_back_temperature_k\":2.987101388910112e2,\"final_back_temperature_k_hex\":\"4072ab5cba99082c\",\"depth_half_way_to_virgin_m\":1.5621396598492194e-2,\"depth_half_way_to_virgin_m_hex\":\"3f8ffe1c5c112417\",\"depth_within_2_percent_of_virgin_m\":1.9007822559302025e-2,\"depth_within_2_percent_of_virgin_m_hex\":\"3f9376c9610a9f47\",\"heat_from_stream_j_per_m2\":0.0e0,\"heat_from_stream_j_per_m2_hex\":\"0000000000000000\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":0.0e0,\"heat_radiated_away_j_per_m2_hex\":\"0000000000000000\",\"heat_taken_at_face_by_gases_j_per_m2\":0.0e0,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"0000000000000000\",\"heat_in_through_face_j_per_m2\":3.18960378058597e7,\"heat_in_through_face_j_per_m2_hex\":\"417e6b1e5ce4cd24\",\"heat_stored_in_solid_j_per_m2\":1.3919603588979512e7,\"heat_stored_in_solid_j_per_m2_hex\":\"416a8cae72d8eb90\",\"heat_taken_by_gas_j_per_m2\":1.7799510487008218e7,\"heat_taken_by_gas_j_per_m2_hex\":\"4170f99567cac921\",\"heat_given_off_by_decomposition_j_per_m2\":-1.7692372987204246e5,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"c10598ddd6c72745\",\"char_enthalpy_removed_j_per_m2\":4.796555996932647e-20,\"char_enthalpy_removed_j_per_m2_hex\":\"3bec5059b98accb7\",\"solid_mass_lost_kg_per_m2\":9.5172142096758e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3fee74807b3eab40\",\"gas_mass_out_kg_per_m2\":9.517214209675809e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fee74807b3eab49\",\"char_mass_removed_kg_per_m2\":8.387877460273942e-27,\"char_mass_removed_kg_per_m2_hex\":\"3a84c472ee4b4675\",\"inside_arc_jet_comparison\":0.0e0,\"inside_arc_jet_comparison_hex\":\"0000000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":0.0e0,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"0000000000000000\",\"cells\":1.95e2,\"cells_hex\":\"4068600000000000\",\"cells_at_end\":1.95e2,\"cells_at_end_hex\":\"4068600000000000\",\"time_steps\":3.251e3,\"time_steps_hex\":\"40a9660000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":7.450580596923831e-8,\"energy_account_residual_j_per_m2_hex\":\"3e74000000000002\",\"energy_account_tolerance_j_per_m2\":7.96292161588121e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fb462948f354d6e\",\"face_balance_residual_j_per_m2\":0.0e0,\"face_balance_residual_j_per_m2_hex\":\"0000000000000000\",\"face_balance_tolerance_j_per_m2\":0.0e0,\"face_balance_tolerance_j_per_m2_hex\":\"0000000000000000\",\"mass_account_residual_kg_per_m2\":-9.992007221710288e-16,\"mass_account_residual_kg_per_m2_hex\":\"bcd200000000a624\",\"mass_account_tolerance_kg_per_m2\":4.4677254163696395e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e67fc6522683905\"},\"field_sha256\":\"ab2280eb8ce9c74143ccdaf49a5eccad92020bab9c50206d8711750819580e07\",\"seal_parts\":{\"inputs\":\"98abe1d41ce59199189fc26cbe5aec86c94db419891b4e884672b7744170949b\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"2094b586e3d9c20da6918f2993871cbaf380e6294aa6200ccb124940149b9b05\",\"invariants\":\"0fdf9c33e3bac2cce8f78d227f56f62743b740ffa2b279d378e854f2511abe69\",\"field_sha256\":\"afed7d05d57d409004cd82bbae10b496f23533d0f276e6aa5ed770afdba4f35d\",\"outcome\":\"7a4bcff282777adad24ebf4a2720438b30a13e31e83b3d1ef307d5cf2cb75d6a\"},\"solution_seal\":\"8dd4333e797ec6f7794e4378e49cf1e86801d8f1e4774fe8d194a3f3cfd8c532\",\"receipt_sha256\":\"7f38b3f11137d7aa5a4c63acc0703ffaa343e0d8a8c6a5d354cb8a0b27736c72\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"TACOT 3.0\", \"thickness_m\": 0.05, \"start_temperature_k\": 298.0, \"thermocouple_depths_m\": [0.001, 0.002, 0.004, 0.008, 0.016, 0.05], \"face\": \"held_temperature\", \"held_temperature_k\": 3300.0000000000005, \"hold_duration_s\": 60.0, \"continue_after_s\": 0.0, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: held temperature 3300.0000000000005 K is outside 400..=3300 (HeldTemperatureOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-8005c4fd4f56", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve", "input": "parameters.hold_duration_s", "input_unit": "s", "whole_number_input": false, "base_value": 60.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 1.0, "inside_value_hex": "3ff0000000000000", "outside_value": 0.9999999999999999, "outside_value_hex": "3fefffffffffffff", "width": 1.1102230246251565e-16, "adjacent_64_bit_numbers": true, "stop_name": "HoldDurationOutOfRange", "stop_sentence": "Physical Violation: hold duration 0.9999999999999999 s is outside 1..=300 (HoldDurationOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 1765, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "8352d9247ba9b1efba7e9b303a9f60af3666d0834d742038c660827c42388bb1", "outside_proof": null, "inside_receipt": "5e9fedec83fdc442e704d7f13119788f4cf36872c6d9698e0dea29b7b2ef2a0e", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:40:10Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"TACOT 3.0\", \"thickness_m\": 0.05, \"start_temperature_k\": 298.0, \"thermocouple_depths_m\": [0.001, 0.002, 0.004, 0.008, 0.016, 0.05], \"face\": \"held_temperature\", \"held_temperature_k\": 1644.0, \"hold_duration_s\": 1.0, \"continue_after_s\": 0.0, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"TACOT 3.0\",\"thickness_m\":0.05,\"start_temperature_k\":298.0,\"thermocouple_depths_m\":[0.001,0.002,0.004,0.008,0.016,0.05],\"face\":\"held_temperature\",\"held_temperature_k\":1644.0,\"hold_duration_s\":1.0,\"continue_after_s\":0.0,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":1765,\"result\":{\"material_compared_with_measurement\":0.0e0,\"material_compared_with_measurement_hex\":\"0000000000000000\",\"duration_s\":1.0e0,\"duration_s_hex\":\"3ff0000000000000\",\"wear_m\":0.0e0,\"wear_m_hex\":\"0000000000000000\",\"peak_face_temperature_k\":1.644e3,\"peak_face_temperature_k_hex\":\"4099b00000000000\",\"peak_face_temperature_at_s\":1.0e0,\"peak_face_temperature_at_s_hex\":\"3ff0000000000000\",\"final_face_temperature_k\":1.644e3,\"final_face_temperature_k_hex\":\"4099b00000000000\",\"final_back_temperature_k\":2.98e2,\"final_back_temperature_k_hex\":\"4072a00000000000\",\"depth_half_way_to_virgin_m\":7.279662959431837e-4,\"depth_half_way_to_virgin_m_hex\":\"3f47da9fb7826005\",\"depth_within_2_percent_of_virgin_m\":1.0949865196493728e-3,\"depth_within_2_percent_of_virgin_m_hex\":\"3f51f0b4d2a73287\",\"heat_from_stream_j_per_m2\":0.0e0,\"heat_from_stream_j_per_m2_hex\":\"0000000000000000\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":0.0e0,\"heat_radiated_away_j_per_m2_hex\":\"0000000000000000\",\"heat_taken_at_face_by_gases_j_per_m2\":0.0e0,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"0000000000000000\",\"heat_in_through_face_j_per_m2\":8.857828508443921e5,\"heat_in_through_face_j_per_m2_hex\":\"412b082db3a1e04c\",\"heat_stored_in_solid_j_per_m2\":6.677326637153988e5,\"heat_stored_in_solid_j_per_m2_hex\":\"412460a953d28137\",\"heat_taken_by_gas_j_per_m2\":1.7666839230431727e5,\"heat_taken_by_gas_j_per_m2_hex\":\"410590e323707226\",\"heat_given_off_by_decomposition_j_per_m2\":-4.138179482467569e4,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"c0e434b96f342885\",\"char_enthalpy_removed_j_per_m2\":0.0e0,\"char_enthalpy_removed_j_per_m2_hex\":\"0000000000000000\",\"solid_mass_lost_kg_per_m2\":4.1918329670320276e-2,\"solid_mass_lost_kg_per_m2_hex\":\"3fa57651be12ee00\",\"gas_mass_out_kg_per_m2\":4.191832967032079e-2,\"gas_mass_out_kg_per_m2_hex\":\"3fa57651be12ee4a\",\"char_mass_removed_kg_per_m2\":0.0e0,\"char_mass_removed_kg_per_m2_hex\":\"0000000000000000\",\"inside_arc_jet_comparison\":0.0e0,\"inside_arc_jet_comparison_hex\":\"0000000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":0.0e0,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"0000000000000000\",\"cells\":1.95e2,\"cells_hex\":\"4068600000000000\",\"cells_at_end\":1.95e2,\"cells_at_end_hex\":\"4068600000000000\",\"time_steps\":1.765e3,\"time_steps_hex\":\"409b940000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":-3.7834979593753815e-10,\"energy_account_residual_j_per_m2_hex\":\"bdfa000000000000\",\"energy_account_tolerance_j_per_m2\":2.1066856141159853e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3f95928cc89f8ed7\",\"face_balance_residual_j_per_m2\":0.0e0,\"face_balance_residual_j_per_m2_hex\":\"0000000000000000\",\"face_balance_tolerance_j_per_m2\":0.0e0,\"face_balance_tolerance_j_per_m2_hex\":\"0000000000000000\",\"mass_account_residual_kg_per_m2\":-5.134781488891349e-16,\"mass_account_residual_kg_per_m2_hex\":\"bcc2800000000000\",\"mass_account_tolerance_kg_per_m2\":2.4696071569486913e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e5a84678adf15bd\"},\"field_sha256\":\"761ea8139fd8a8901adae675973d9864aed1e699d59d7884011b8835f9366aeb\",\"seal_parts\":{\"inputs\":\"7b6f7e4863e3fce6aa57b2af27c2223597981955f19ae7525d3d1e330e26738c\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"cae258b3f462d17b7093d30fcab0dfd251d8728d7f582a8935236bc00fece2a9\",\"invariants\":\"bb1d6954cffd2b2fec25e666eb956cac67209903cff0247e5ee890718d7e8a54\",\"field_sha256\":\"56a79fab87bb23f35c24c53610af5a9bb09c1b9ed7912c0b03a94484a196d025\",\"outcome\":\"e0bc4c430916be839d2dddaa6fba4cd7238df4df76670756f8c8bd116123927d\"},\"solution_seal\":\"8352d9247ba9b1efba7e9b303a9f60af3666d0834d742038c660827c42388bb1\",\"receipt_sha256\":\"5e9fedec83fdc442e704d7f13119788f4cf36872c6d9698e0dea29b7b2ef2a0e\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"TACOT 3.0\", \"thickness_m\": 0.05, \"start_temperature_k\": 298.0, \"thermocouple_depths_m\": [0.001, 0.002, 0.004, 0.008, 0.016, 0.05], \"face\": \"held_temperature\", \"held_temperature_k\": 1644.0, \"hold_duration_s\": 0.9999999999999999, \"continue_after_s\": 0.0, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: hold duration 0.9999999999999999 s is outside 1..=300 (HoldDurationOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-f90ed8ca6dff", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve", "input": "parameters.hold_duration_s", "input_unit": "s", "whole_number_input": false, "base_value": 60.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 300.0, "inside_value_hex": "4072c00000000000", "outside_value": 300.00000000000006, "outside_value_hex": "4072c00000000001", "width": 5.684341886080802e-14, "adjacent_64_bit_numbers": true, "stop_name": "HoldDurationOutOfRange", "stop_sentence": "Physical Violation: hold duration 300.00000000000006 s is outside 1..=300 (HoldDurationOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 8051, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "1488c93d96216ca966f04952aa57a8ac0e3b6e4319a6959509ce4d95ca98a683", "outside_proof": null, "inside_receipt": "f4d26d38bd56240022bdc7ffc94aac39590c241b1e2d42efad9550a7c03e0028", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:40:12Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"TACOT 3.0\", \"thickness_m\": 0.05, \"start_temperature_k\": 298.0, \"thermocouple_depths_m\": [0.001, 0.002, 0.004, 0.008, 0.016, 0.05], \"face\": \"held_temperature\", \"held_temperature_k\": 1644.0, \"hold_duration_s\": 300.0, \"continue_after_s\": 0.0, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"TACOT 3.0\",\"thickness_m\":0.05,\"start_temperature_k\":298.0,\"thermocouple_depths_m\":[0.001,0.002,0.004,0.008,0.016,0.05],\"face\":\"held_temperature\",\"held_temperature_k\":1644.0,\"hold_duration_s\":300.0,\"continue_after_s\":0.0,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":8051,\"result\":{\"material_compared_with_measurement\":0.0e0,\"material_compared_with_measurement_hex\":\"0000000000000000\",\"duration_s\":3.0e2,\"duration_s_hex\":\"4072c00000000000\",\"wear_m\":0.0e0,\"wear_m_hex\":\"0000000000000000\",\"peak_face_temperature_k\":1.644e3,\"peak_face_temperature_k_hex\":\"4099b00000000000\",\"peak_face_temperature_at_s\":1.0e0,\"peak_face_temperature_at_s_hex\":\"3ff0000000000000\",\"final_face_temperature_k\":1.644e3,\"final_face_temperature_k_hex\":\"4099b00000000000\",\"final_back_temperature_k\":4.9245151169910855e2,\"final_back_temperature_k_hex\":\"407ec7396454d6ec\",\"depth_half_way_to_virgin_m\":2.1705619480004067e-2,\"depth_half_way_to_virgin_m_hex\":\"3f9639ff77396206\",\"depth_within_2_percent_of_virgin_m\":3.526444554123666e-2,\"depth_within_2_percent_of_virgin_m_hex\":\"3fa20e2e709f5392\",\"heat_from_stream_j_per_m2\":0.0e0,\"heat_from_stream_j_per_m2_hex\":\"0000000000000000\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":0.0e0,\"heat_radiated_away_j_per_m2_hex\":\"0000000000000000\",\"heat_taken_at_face_by_gases_j_per_m2\":0.0e0,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"0000000000000000\",\"heat_in_through_face_j_per_m2\":1.931847861178629e7,\"heat_in_through_face_j_per_m2_hex\":\"41726c6ce9c9e06c\",\"heat_stored_in_solid_j_per_m2\":1.0799383234221911e7,\"heat_stored_in_solid_j_per_m2_hex\":\"41649922e77ebef3\",\"heat_taken_by_gas_j_per_m2\":1.0498101246518007e7,\"heat_taken_by_gas_j_per_m2_hex\":\"41640606a7e379bb\",\"heat_given_off_by_decomposition_j_per_m2\":1.9790058689535921e6,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"413e327dde73be1c\",\"char_enthalpy_removed_j_per_m2\":0.0e0,\"char_enthalpy_removed_j_per_m2_hex\":\"0000000000000000\",\"solid_mass_lost_kg_per_m2\":1.4247653766923154e0,\"solid_mass_lost_kg_per_m2_hex\":\"3ff6cbd6c795dda8\",\"gas_mass_out_kg_per_m2\":1.4247653766923345e0,\"gas_mass_out_kg_per_m2_hex\":\"3ff6cbd6c795ddfe\",\"char_mass_removed_kg_per_m2\":0.0e0,\"char_mass_removed_kg_per_m2_hex\":\"0000000000000000\",\"inside_arc_jet_comparison\":0.0e0,\"inside_arc_jet_comparison_hex\":\"0000000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":0.0e0,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"0000000000000000\",\"cells\":1.95e2,\"cells_hex\":\"4068600000000000\",\"cells_at_end\":1.95e2,\"cells_at_end_hex\":\"4068600000000000\",\"time_steps\":8.051e3,\"time_steps_hex\":\"40bf730000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":3.5390257835388184e-8,\"energy_account_residual_j_per_m2_hex\":\"3e63000000000000\",\"energy_account_tolerance_j_per_m2\":8.513472985282512e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fb5cb63c078bff1\",\"face_balance_residual_j_per_m2\":0.0e0,\"face_balance_residual_j_per_m2_hex\":\"0000000000000000\",\"face_balance_tolerance_j_per_m2\":0.0e0,\"face_balance_tolerance_j_per_m2_hex\":\"0000000000000000\",\"mass_account_residual_kg_per_m2\":-1.9095836023552692e-14,\"mass_account_residual_kg_per_m2_hex\":\"bd15800000000000\",\"mass_account_tolerance_kg_per_m2\":1.0734771288371566e-7,\"mass_account_tolerance_kg_per_m2_hex\":\"3e7cd0e0efbdff4d\"},\"field_sha256\":\"b98a2ef4d56dd011ce30871f5108a59665eabbec457494bb55ef1d7d76f679d6\",\"seal_parts\":{\"inputs\":\"2ba4e86666b6731ae33d8cf86dc470dd5d92aed8a7ebe40ef0c9c7122b98ecc3\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"fac8cfde1a5447ff4cfb1a741c3682220c08bfb41c81083167651756b96d4ab0\",\"invariants\":\"cf17166b95d5dbf98e1fdc0985478a0ec1851040ac0d4f42db80684838fbe9ad\",\"field_sha256\":\"b9bdeed0f10924b61514fd462d1d441a1050c214ec0a5d97f46d128ada742f1c\",\"outcome\":\"a6f2cfd3c74c126535db22934223770cb922443c93ee1c99a8283e547b335596\"},\"solution_seal\":\"1488c93d96216ca966f04952aa57a8ac0e3b6e4319a6959509ce4d95ca98a683\",\"receipt_sha256\":\"f4d26d38bd56240022bdc7ffc94aac39590c241b1e2d42efad9550a7c03e0028\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"TACOT 3.0\", \"thickness_m\": 0.05, \"start_temperature_k\": 298.0, \"thermocouple_depths_m\": [0.001, 0.002, 0.004, 0.008, 0.016, 0.05], \"face\": \"held_temperature\", \"held_temperature_k\": 1644.0, \"hold_duration_s\": 300.00000000000006, \"continue_after_s\": 0.0, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: hold duration 300.00000000000006 s is outside 1..=300 (HoldDurationOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-6fc78e3ae625", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve_arc_jet_test", "input": "parameters.thickness_m", "input_unit": "m", "whole_number_input": false, "base_value": 0.06, "edge_kind": "declared_limit", "direction": "down", "inside_value": 0.05999999994, "inside_value_hex": "3faeb851eb012db9", "outside_value": 0.05999999993999999, "outside_value_hex": "3faeb851eb012db8", "width": 6.938893903907228e-18, "adjacent_64_bit_numbers": true, "stop_name": "ThicknessNotCompared", "stop_sentence": "Physical Violation: thickness 0.05999999993999999 m is in no PICA envelope compared with measurement: 0.06 m for the arc-jet tests, 0.0582 m for the Stardust flight, 0.0224..=0.0325 m for the thermocouple blocks (ThicknessNotCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2745, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "b9c3f6b3e46135a30b16288f3be9804c9863c531ef9ae39b6b7dd933c58d1ff9", "outside_proof": null, "inside_receipt": "63e3730d16f588a2f334dc477f58ff1af097526e147dda108196f46940d0d086", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:40:16Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.05999999994, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"PICA, open record, version 5\",\"thickness_m\":0.05999999994,\"start_temperature_k\":300.0,\"thermocouple_depths_m\":[],\"face\":\"gas_stream\",\"stream_gas\":\"mixture\",\"stream_oxygen_mass_fraction\":0.16753359999999998,\"stream_argon_mass_fraction\":0.276,\"history_time_s\":[0.0,0.5,55.0],\"history_pressure_pa\":[2300.0,2300.0,2300.0],\"history_heat_transfer_coefficient_kg_per_m2_s\":[0.0,0.07040224291374243,0.07040224291374243],\"history_flow_enthalpy_j_per_kg\":[15200000.0,15200000.0,15200000.0],\"history_radiative_heating_w_per_m2\":[0.0,0.0,0.0],\"surroundings_temperature_k\":300.0,\"face_wears\":true,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2745,\"result\":{\"material_compared_with_measurement\":1.0e0,\"material_compared_with_measurement_hex\":\"3ff0000000000000\",\"duration_s\":5.5e1,\"duration_s_hex\":\"404b800000000000\",\"wear_m\":2.00472769455585e-3,\"wear_m_hex\":\"3f606c37fc560a14\",\"peak_face_temperature_k\":2.012476712544571e3,\"peak_face_temperature_k_hex\":\"409f71e82755521a\",\"peak_face_temperature_at_s\":5.5e1,\"peak_face_temperature_at_s_hex\":\"404b800000000000\",\"final_face_temperature_k\":2.012476712544571e3,\"final_face_temperature_k_hex\":\"409f71e82755521a\",\"final_back_temperature_k\":3.000000000003181e2,\"final_back_temperature_k_hex\":\"4072c000000015dc\",\"depth_half_way_to_virgin_m\":6.3687570602985e-3,\"depth_half_way_to_virgin_m_hex\":\"3f7a162034a4758a\",\"depth_within_2_percent_of_virgin_m\":8.393816307469855e-3,\"depth_within_2_percent_of_virgin_m_hex\":\"3f8130c6f43bd4d1\",\"heat_from_stream_j_per_m2\":4.7993072530365214e7,\"heat_from_stream_j_per_m2_hex\":\"4186e287843e301e\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":4.154358068946913e7,\"heat_radiated_away_j_per_m2_hex\":\"4183cf3ce5840864\",\"heat_taken_at_face_by_gases_j_per_m2\":-2.3963336430711388e6,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"c1424856d25027b3\",\"heat_in_through_face_j_per_m2\":8.84582548396724e6,\"heat_in_through_face_j_per_m2_hex\":\"4160df402f7ca8de\",\"heat_stored_in_solid_j_per_m2\":5.170987930231829e6,\"heat_stored_in_solid_j_per_m2_hex\":\"4153b9cafb88eb15\",\"heat_taken_by_gas_j_per_m2\":3.677549689383533e6,\"heat_taken_by_gas_j_per_m2_hex\":\"414c0eb6d83db838\",\"heat_given_off_by_decomposition_j_per_m2\":8.746041928365354e3,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"40c115055de89efc\",\"char_enthalpy_removed_j_per_m2\":1.2775135562303434e6,\"char_enthalpy_removed_j_per_m2_hex\":\"41337e498e651c9e\",\"solid_mass_lost_kg_per_m2\":9.265500707274796e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3feda64c557c3140\",\"gas_mass_out_kg_per_m2\":4.93329146944203e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fdf92b46a127dd5\",\"char_mass_removed_kg_per_m2\":4.332209237832898e-1,\"char_mass_removed_kg_per_m2_hex\":\"3fdbb9e440e5e598\",\"inside_arc_jet_comparison\":1.0e0,\"inside_arc_jet_comparison_hex\":\"3ff0000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":1.620577472578128e3,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"4099524f54f8b596\",\"cells\":6.28e2,\"cells_hex\":\"4083a00000000000\",\"cells_at_end\":5.81e2,\"cells_at_end_hex\":\"4082280000000000\",\"time_steps\":2.745e3,\"time_steps_hex\":\"40a5720000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":-1.6525518731214106e-8,\"energy_account_residual_j_per_m2_hex\":\"be51be8000000000\",\"energy_account_tolerance_j_per_m2\":3.852968350625659e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fa3ba29a52b510a\",\"face_balance_residual_j_per_m2\":3.012563358300236e-10,\"face_balance_residual_j_per_m2_hex\":\"3df4b3c1ebfa3d34\",\"face_balance_tolerance_j_per_m2\":1.1801997276814737e-1,\"face_balance_tolerance_j_per_m2_hex\":\"3fbe368e93506289\",\"mass_account_residual_kg_per_m2\":-1.3156142841808105e-14,\"mass_account_residual_kg_per_m2_hex\":\"bd0da00000000000\",\"mass_account_tolerance_kg_per_m2\":4.4528926443832034e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e67e80251144d07\"},\"field_sha256\":\"f3e0d981fb8296236854fa4b31a4386c67407f9c3abfa2c79c997dd062e32331\",\"seal_parts\":{\"inputs\":\"3ec147b7598300a56c5b6e81772a9bac56e03aa6891c17c35218d6e145f7fe7e\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e181a428eb06c4ea16f41774838d5b8b52e20972e7a3b7ce3aaacb9c8e861526\",\"invariants\":\"8db3e261e4ce05b9efe5930cf5983c95683e595d60c3c73228d6465fb07d07eb\",\"field_sha256\":\"3afe033d92d0aa3b6dc47850042bada622ade75e7c2a4baf75f2ba714f3906d0\",\"outcome\":\"f8eb799beb1835843164159e2c06564f5e11d59602f8979d8facb03e4dc4ff2e\"},\"solution_seal\":\"b9c3f6b3e46135a30b16288f3be9804c9863c531ef9ae39b6b7dd933c58d1ff9\",\"receipt_sha256\":\"63e3730d16f588a2f334dc477f58ff1af097526e147dda108196f46940d0d086\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.05999999993999999, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: thickness 0.05999999993999999 m is in no PICA envelope compared with measurement: 0.06 m for the arc-jet tests, 0.0582 m for the Stardust flight, 0.0224..=0.0325 m for the thermocouple blocks (ThicknessNotCompared).", "outside_answer_is_error": true}
{"id": "edge-ee0837b4f57a", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve_arc_jet_test", "input": "parameters.thickness_m", "input_unit": "m", "whole_number_input": false, "base_value": 0.06, "edge_kind": "declared_limit", "direction": "up", "inside_value": 0.060000000059999996, "inside_value_hex": "3faeb851ec090fb7", "outside_value": 0.06000000006, "outside_value_hex": "3faeb851ec090fb8", "width": 6.938893903907228e-18, "adjacent_64_bit_numbers": true, "stop_name": "ThicknessNotCompared", "stop_sentence": "Physical Violation: thickness 0.06000000006 m is in no PICA envelope compared with measurement: 0.06 m for the arc-jet tests, 0.0582 m for the Stardust flight, 0.0224..=0.0325 m for the thermocouple blocks (ThicknessNotCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2745, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "2a847ae6ec77b9359f671c0959a1d6632f987f024dc3745752d7b12be1e681f3", "outside_proof": null, "inside_receipt": "b24bbb258996b68f03ccdc49e2f71218b0f30e6dc3a18812442c04b47d4d4f3a", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:40:21Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.060000000059999996, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"PICA, open record, version 5\",\"thickness_m\":0.060000000059999996,\"start_temperature_k\":300.0,\"thermocouple_depths_m\":[],\"face\":\"gas_stream\",\"stream_gas\":\"mixture\",\"stream_oxygen_mass_fraction\":0.16753359999999998,\"stream_argon_mass_fraction\":0.276,\"history_time_s\":[0.0,0.5,55.0],\"history_pressure_pa\":[2300.0,2300.0,2300.0],\"history_heat_transfer_coefficient_kg_per_m2_s\":[0.0,0.07040224291374243,0.07040224291374243],\"history_flow_enthalpy_j_per_kg\":[15200000.0,15200000.0,15200000.0],\"history_radiative_heating_w_per_m2\":[0.0,0.0,0.0],\"surroundings_temperature_k\":300.0,\"face_wears\":true,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2745,\"result\":{\"material_compared_with_measurement\":1.0e0,\"material_compared_with_measurement_hex\":\"3ff0000000000000\",\"duration_s\":5.5e1,\"duration_s_hex\":\"404b800000000000\",\"wear_m\":2.0047276945513227e-3,\"wear_m_hex\":\"3f606c37fc55e14d\",\"peak_face_temperature_k\":2.012476712541874e3,\"peak_face_temperature_k_hex\":\"409f71e8275523c4\",\"peak_face_temperature_at_s\":5.5e1,\"peak_face_temperature_at_s_hex\":\"404b800000000000\",\"final_face_temperature_k\":2.012476712541874e3,\"final_face_temperature_k_hex\":\"409f71e8275523c4\",\"final_back_temperature_k\":3.0000000000031775e2,\"final_back_temperature_k_hex\":\"4072c000000015d6\",\"depth_half_way_to_virgin_m\":6.368757059624031e-3,\"depth_half_way_to_virgin_m_hex\":\"3f7a162034989800\",\"depth_within_2_percent_of_virgin_m\":8.3938163079664e-3,\"depth_within_2_percent_of_virgin_m_hex\":\"3f8130c6f44032f0\",\"heat_from_stream_j_per_m2\":4.7993072530238256e7,\"heat_from_stream_j_per_m2_hex\":\"4186e287843ded8e\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":4.154358068928567e7,\"heat_radiated_away_j_per_m2_hex\":\"4183cf3ce583a835\",\"heat_taken_at_face_by_gases_j_per_m2\":-2.3963336431086324e6,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"c1424856d2516238\",\"heat_in_through_face_j_per_m2\":8.845825484061165e6,\"heat_in_through_face_j_per_m2_hex\":\"4160df402f7d6dd7\",\"heat_stored_in_solid_j_per_m2\":5.170987929958569e6,\"heat_stored_in_solid_j_per_m2_hex\":\"4153b9cafb8470f2\",\"heat_taken_by_gas_j_per_m2\":3.6775496896279245e6,\"heat_taken_by_gas_j_per_m2_hex\":\"414c0eb6d845ba53\",\"heat_given_off_by_decomposition_j_per_m2\":8.746042036282392e3,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"40c115056171e50f\",\"char_enthalpy_removed_j_per_m2\":1.2775135562253173e6,\"char_enthalpy_removed_j_per_m2_hex\":\"41337e498e64c84b\",\"solid_mass_lost_kg_per_m2\":9.265500707411256e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3feda64c557e1160\",\"gas_mass_out_kg_per_m2\":4.933291469586011e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fdf92b46a167302\",\"char_mass_removed_kg_per_m2\":4.3322092378253035e-1,\"char_mass_removed_kg_per_m2_hex\":\"3fdbb9e440e5b027\",\"inside_arc_jet_comparison\":1.0e0,\"inside_arc_jet_comparison_hex\":\"3ff0000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":1.620577472578128e3,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"4099524f54f8b596\",\"cells\":6.28e2,\"cells_hex\":\"4083a00000000000\",\"cells_at_end\":5.81e2,\"cells_at_end_hex\":\"4082280000000000\",\"time_steps\":2.745e3,\"time_steps_hex\":\"40a5720000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":4.638422979041934e-11,\"energy_account_residual_j_per_m2_hex\":\"3dc9800000000000\",\"energy_account_tolerance_j_per_m2\":3.852968356753086e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fa3ba29a5b20f63\",\"face_balance_residual_j_per_m2\":2.363944998828943e-9,\"face_balance_residual_j_per_m2_hex\":\"3e244e5eba1b723f\",\"face_balance_tolerance_j_per_m2\":1.1801997280847229e-1,\"face_balance_tolerance_j_per_m2_hex\":\"3fbe368e937cb8fe\",\"mass_account_residual_kg_per_m2\":-5.828670879282072e-15,\"mass_account_residual_kg_per_m2_hex\":\"bcfa400000000000\",\"mass_account_tolerance_kg_per_m2\":4.4528926534080284e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e67e80251e46631\"},\"field_sha256\":\"2184be9be540f4e2c6ee6b0c86c5c1e58d2ae08e0363a3ef506947b11436dde7\",\"seal_parts\":{\"inputs\":\"6d6b7c7dc2f35464f1baef556212fed9d8007150b56f18e18ae260c9805509f3\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"55514464739999e7407d658898a60a250c2ce6ca25a90c6a866006752d898d32\",\"invariants\":\"9c3faa03b4bc92268f80fee6408f5cdd0434f9569b0921005a7f69fdbe434918\",\"field_sha256\":\"3a47e04c83d0e85d50c6bf2c6d919aaa84555e4b04855aafa0df1be0f6c345fc\",\"outcome\":\"f8eb799beb1835843164159e2c06564f5e11d59602f8979d8facb03e4dc4ff2e\"},\"solution_seal\":\"2a847ae6ec77b9359f671c0959a1d6632f987f024dc3745752d7b12be1e681f3\",\"receipt_sha256\":\"b24bbb258996b68f03ccdc49e2f71218b0f30e6dc3a18812442c04b47d4d4f3a\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06000000006, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: thickness 0.06000000006 m is in no PICA envelope compared with measurement: 0.06 m for the arc-jet tests, 0.0582 m for the Stardust flight, 0.0224..=0.0325 m for the thermocouple blocks (ThicknessNotCompared).", "outside_answer_is_error": true}
{"id": "edge-983c27ba410d", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve", "input": "parameters.continue_after_s", "input_unit": "s", "whole_number_input": false, "base_value": 0.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 300.0, "inside_value_hex": "4072c00000000000", "outside_value": 300.00000000000006, "outside_value_hex": "4072c00000000001", "width": 5.684341886080802e-14, "adjacent_64_bit_numbers": true, "stop_name": "ContinueAfterOutOfRange", "stop_sentence": "Physical Violation: time after the hold 300.00000000000006 s is outside 0..=300 (ContinueAfterOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 11302, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "e6767f9a0c0d12416ca6ae544dcb1bab324257774bae7eb6ca9d38cc6de49295", "outside_proof": null, "inside_receipt": "64793fcdc7074e7a69cdfd09c9b49b9fd0891959377231396dc01edc87f19d88", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:40:26Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"TACOT 3.0\", \"thickness_m\": 0.05, \"start_temperature_k\": 298.0, \"thermocouple_depths_m\": [0.001, 0.002, 0.004, 0.008, 0.016, 0.05], \"face\": \"held_temperature\", \"held_temperature_k\": 1644.0, \"hold_duration_s\": 60.0, \"continue_after_s\": 300.0, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"TACOT 3.0\",\"thickness_m\":0.05,\"start_temperature_k\":298.0,\"thermocouple_depths_m\":[0.001,0.002,0.004,0.008,0.016,0.05],\"face\":\"held_temperature\",\"held_temperature_k\":1644.0,\"hold_duration_s\":60.0,\"continue_after_s\":300.0,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":11302,\"result\":{\"material_compared_with_measurement\":0.0e0,\"material_compared_with_measurement_hex\":\"0000000000000000\",\"duration_s\":3.6e2,\"duration_s_hex\":\"4076800000000000\",\"wear_m\":0.0e0,\"wear_m_hex\":\"0000000000000000\",\"peak_face_temperature_k\":1.644e3,\"peak_face_temperature_k_hex\":\"4099b00000000000\",\"peak_face_temperature_at_s\":1.0e0,\"peak_face_temperature_at_s_hex\":\"3ff0000000000000\",\"final_face_temperature_k\":2.98e2,\"final_face_temperature_k_hex\":\"4072a00000000000\",\"final_back_temperature_k\":3.843036798488301e2,\"final_back_temperature_k_hex\":\"407804dbdf66b2df\",\"depth_half_way_to_virgin_m\":9.420502883879847e-3,\"depth_half_way_to_virgin_m_hex\":\"3f834b0e7e6295fb\",\"depth_within_2_percent_of_virgin_m\":1.710634419304577e-2,\"depth_within_2_percent_of_virgin_m_hex\":\"3f9184535373f818\",\"heat_from_stream_j_per_m2\":0.0e0,\"heat_from_stream_j_per_m2_hex\":\"0000000000000000\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":0.0e0,\"heat_radiated_away_j_per_m2_hex\":\"0000000000000000\",\"heat_taken_at_face_by_gases_j_per_m2\":0.0e0,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"0000000000000000\",\"heat_in_through_face_j_per_m2\":4.462195899896934e6,\"heat_in_through_face_j_per_m2_hex\":\"4151059cf997e94f\",\"heat_stored_in_solid_j_per_m2\":1.6511970874415543e6,\"heat_stored_in_solid_j_per_m2_hex\":\"413931fd166291d8\",\"heat_taken_by_gas_j_per_m2\":3.404252468735918e6,\"heat_taken_by_gas_j_per_m2_hex\":\"4149f8ee3bff89df\",\"heat_given_off_by_decomposition_j_per_m2\":5.932536562805277e5,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"41221acb50040057\",\"char_enthalpy_removed_j_per_m2\":0.0e0,\"char_enthalpy_removed_j_per_m2_hex\":\"0000000000000000\",\"solid_mass_lost_kg_per_m2\":6.376199326238439e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3fe46761eabcb550\",\"gas_mass_out_kg_per_m2\":6.376199326238479e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fe46761eabcb574\",\"char_mass_removed_kg_per_m2\":0.0e0,\"char_mass_removed_kg_per_m2_hex\":\"0000000000000000\",\"inside_arc_jet_comparison\":0.0e0,\"inside_arc_jet_comparison_hex\":\"0000000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":0.0e0,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"0000000000000000\",\"cells\":1.95e2,\"cells_hex\":\"4068600000000000\",\"cells_at_end\":1.95e2,\"cells_at_end_hex\":\"4068600000000000\",\"time_steps\":1.1302e4,\"time_steps_hex\":\"40c6130000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":1.0710209608078003e-8,\"energy_account_residual_j_per_m2_hex\":\"3e47000000000000\",\"energy_account_tolerance_j_per_m2\":1.0967880864136949e-1,\"energy_account_tolerance_j_per_m2_hex\":\"3fbc13e9102dcdf9\",\"face_balance_residual_j_per_m2\":0.0e0,\"face_balance_residual_j_per_m2_hex\":\"0000000000000000\",\"face_balance_tolerance_j_per_m2\":0.0e0,\"face_balance_tolerance_j_per_m2_hex\":\"0000000000000000\",\"mass_account_residual_kg_per_m2\":-3.9968028886505635e-15,\"mass_account_residual_kg_per_m2_hex\":\"bcf2000000000000\",\"mass_account_tolerance_kg_per_m2\":1.5286292716154508e-7,\"mass_account_tolerance_kg_per_m2_hex\":\"3e84845486e6d903\"},\"field_sha256\":\"3aa4470d2bed77022714f3d3225dd585faf3108f98df37f9c2b0f647d883252b\",\"seal_parts\":{\"inputs\":\"fe47a9e1d6923aa552758ab039457b73c9d0e14600076e0feee365d8c5b315ec\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"72972eec24b69701062909ba6a0a64d5d6d2716fd7d761e877fe963f8d86c4b1\",\"invariants\":\"1ae2ea2a06f26f987aecfa0d73b2e2ed9028523920bdbfbfc34208c2cbff715d\",\"field_sha256\":\"8f163f39bc61e1ff7015e77a422560000c0325bd8d4aee045725911574a92a38\",\"outcome\":\"ab628c292d917acc9016789da7deecb91deacff63a056206e2058ba1b26d1a6f\"},\"solution_seal\":\"e6767f9a0c0d12416ca6ae544dcb1bab324257774bae7eb6ca9d38cc6de49295\",\"receipt_sha256\":\"64793fcdc7074e7a69cdfd09c9b49b9fd0891959377231396dc01edc87f19d88\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"TACOT 3.0\", \"thickness_m\": 0.05, \"start_temperature_k\": 298.0, \"thermocouple_depths_m\": [0.001, 0.002, 0.004, 0.008, 0.016, 0.05], \"face\": \"held_temperature\", \"held_temperature_k\": 1644.0, \"hold_duration_s\": 60.0, \"continue_after_s\": 300.00000000000006, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: time after the hold 300.00000000000006 s is outside 0..=300 (ContinueAfterOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-287cfd88f541", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve_arc_jet_test", "input": "parameters.start_temperature_k", "input_unit": "K", "whole_number_input": false, "base_value": 300.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 299.9999997, "inside_value_hex": "4072bfffffaf7828", "outside_value": 299.99999969999993, "outside_value_hex": "4072bfffffaf7827", "width": 5.684341886080802e-14, "adjacent_64_bit_numbers": true, "stop_name": "StartTemperatureNotCompared", "stop_sentence": "Physical Violation: start temperature 299.99999969999993 K is in no PICA envelope compared with measurement: 300 K for the arc-jet tests, 260 K for the Stardust flight, 303.15 K for the thermocouple blocks (StartTemperatureNotCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2745, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "6bccc77be290096e8a4ba1f96368bc6ceef68c83aba19f855acdf1db2c271e39", "outside_proof": null, "inside_receipt": "7c93239527520fb820fa6b676db6d72340aaf93c2783496658edf6295efd59da", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:40:30Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 299.9999997, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"PICA, open record, version 5\",\"thickness_m\":0.06,\"start_temperature_k\":299.9999997,\"thermocouple_depths_m\":[],\"face\":\"gas_stream\",\"stream_gas\":\"mixture\",\"stream_oxygen_mass_fraction\":0.16753359999999998,\"stream_argon_mass_fraction\":0.276,\"history_time_s\":[0.0,0.5,55.0],\"history_pressure_pa\":[2300.0,2300.0,2300.0],\"history_heat_transfer_coefficient_kg_per_m2_s\":[0.0,0.07040224291374243,0.07040224291374243],\"history_flow_enthalpy_j_per_kg\":[15200000.0,15200000.0,15200000.0],\"history_radiative_heating_w_per_m2\":[0.0,0.0,0.0],\"surroundings_temperature_k\":300.0,\"face_wears\":true,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2745,\"result\":{\"material_compared_with_measurement\":1.0e0,\"material_compared_with_measurement_hex\":\"3ff0000000000000\",\"duration_s\":5.5e1,\"duration_s_hex\":\"404b800000000000\",\"wear_m\":2.0047276945665605e-3,\"wear_m_hex\":\"3f606c37fc566a8d\",\"peak_face_temperature_k\":2.0124767125439998e3,\"peak_face_temperature_k_hex\":\"409f71e82755484a\",\"peak_face_temperature_at_s\":5.5e1,\"peak_face_temperature_at_s_hex\":\"404b800000000000\",\"final_face_temperature_k\":2.0124767125439998e3,\"final_face_temperature_k_hex\":\"409f71e82755484a\",\"final_back_temperature_k\":2.9999999970031797e2,\"final_back_temperature_k_hex\":\"4072bfffffaf8e02\",\"depth_half_way_to_virgin_m\":6.3687570591035025e-3,\"depth_half_way_to_virgin_m_hex\":\"3f7a1620348f6fc0\",\"depth_within_2_percent_of_virgin_m\":8.393816305922557e-3,\"depth_within_2_percent_of_virgin_m_hex\":\"3f8130c6f42e389c\",\"heat_from_stream_j_per_m2\":4.799307253080758e7,\"heat_from_stream_j_per_m2_hex\":\"4186e287843f180b\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":4.154358068941305e7,\"heat_radiated_away_j_per_m2_hex\":\"4183cf3ce583eafd\",\"heat_taken_at_face_by_gases_j_per_m2\":-2.396333642956733e6,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"c1424856d24c67fe\",\"heat_in_through_face_j_per_m2\":8.845825484351225e6,\"heat_in_through_face_j_per_m2_hex\":\"4160df402f7fce24\",\"heat_stored_in_solid_j_per_m2\":5.170987930858479e6,\"heat_stored_in_solid_j_per_m2_hex\":\"4153b9cafb932f71\",\"heat_taken_by_gas_j_per_m2\":3.6775496890039113e6,\"heat_taken_by_gas_j_per_m2_hex\":\"414c0eb6d83147b9\",\"heat_given_off_by_decomposition_j_per_m2\":8.746041906127502e3,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"40c115055d2e1390\",\"char_enthalpy_removed_j_per_m2\":1.2775135562360436e6,\"char_enthalpy_removed_j_per_m2_hex\":\"41337e498e657c40\",\"solid_mass_lost_kg_per_m2\":9.265500706814702e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3feda64c5575de70\",\"gas_mass_out_kg_per_m2\":4.933291468956739e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fdf92b46a0526e7\",\"char_mass_removed_kg_per_m2\":4.3322092378576815e-1,\"char_mass_removed_kg_per_m2_hex\":\"3fdbb9e440e693fe\",\"inside_arc_jet_comparison\":1.0e0,\"inside_arc_jet_comparison_hex\":\"3ff0000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":1.620577472578128e3,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"4099524f54f8b596\",\"cells\":6.28e2,\"cells_hex\":\"4083a00000000000\",\"cells_at_end\":5.81e2,\"cells_at_end_hex\":\"4082280000000000\",\"time_steps\":2.745e3,\"time_steps_hex\":\"40a5720000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":-5.35146682523191e-9,\"energy_account_residual_j_per_m2_hex\":\"be36fc0000000000\",\"energy_account_tolerance_j_per_m2\":3.8529683547722474e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fa3ba29a5868042\",\"face_balance_residual_j_per_m2\":-7.530141161572961e-9,\"face_balance_residual_j_per_m2_hex\":\"be402bbd276f38a0\",\"face_balance_tolerance_j_per_m2\":1.1801997279632435e-1,\"face_balance_tolerance_j_per_m2_hex\":\"3fbe368e936f5da7\",\"mass_account_residual_kg_per_m2\":2.8144153674247718e-14,\"mass_account_residual_kg_per_m2_hex\":\"3d1fb00000000000\",\"mass_account_tolerance_kg_per_m2\":4.4528926488996896e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e67e802517c71a8\"},\"field_sha256\":\"99f26c38ba5c6792915ba2b8d72e79fa67b64bdb2ab3dcb6805ea7598f3b17c9\",\"seal_parts\":{\"inputs\":\"8083ec0dc4e176288fe5a3deb6ff2590a06c1f09ac0f7d09cf76842ce884178c\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"3fb9417ecfa9bf2354a4268c8f0d4d2956bdfbb255f1a61e16958259c3871c9a\",\"invariants\":\"2f29ebde2c66211506c0116500ca722db14220ac998f57a38628cad5ef0fc424\",\"field_sha256\":\"68c613d3391e189982585d788b976d733c366c953bce13c4bc54ec974e284145\",\"outcome\":\"f8eb799beb1835843164159e2c06564f5e11d59602f8979d8facb03e4dc4ff2e\"},\"solution_seal\":\"6bccc77be290096e8a4ba1f96368bc6ceef68c83aba19f855acdf1db2c271e39\",\"receipt_sha256\":\"7c93239527520fb820fa6b676db6d72340aaf93c2783496658edf6295efd59da\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 299.99999969999993, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: start temperature 299.99999969999993 K is in no PICA envelope compared with measurement: 300 K for the arc-jet tests, 260 K for the Stardust flight, 303.15 K for the thermocouple blocks (StartTemperatureNotCompared).", "outside_answer_is_error": true}
{"id": "edge-54db012345e2", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve_arc_jet_test", "input": "parameters.start_temperature_k", "input_unit": "K", "whole_number_input": false, "base_value": 300.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 300.0000003, "inside_value_hex": "4072c000005087d8", "outside_value": 300.00000030000007, "outside_value_hex": "4072c000005087d9", "width": 5.684341886080802e-14, "adjacent_64_bit_numbers": true, "stop_name": "StartTemperatureNotCompared", "stop_sentence": "Physical Violation: start temperature 300.00000030000007 K is in no PICA envelope compared with measurement: 300 K for the arc-jet tests, 260 K for the Stardust flight, 303.15 K for the thermocouple blocks (StartTemperatureNotCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2745, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "b47489b8197cc8776db84bb814b7e3b2b55f61eb9093c0ed7b6ffbfaf888ce70", "outside_proof": null, "inside_receipt": "9ee0f054fd824f6a6a6783a6bb16251f3d1d471179616ad0c472f708692a3750", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:40:34Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0000003, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"PICA, open record, version 5\",\"thickness_m\":0.06,\"start_temperature_k\":300.0000003,\"thermocouple_depths_m\":[],\"face\":\"gas_stream\",\"stream_gas\":\"mixture\",\"stream_oxygen_mass_fraction\":0.16753359999999998,\"stream_argon_mass_fraction\":0.276,\"history_time_s\":[0.0,0.5,55.0],\"history_pressure_pa\":[2300.0,2300.0,2300.0],\"history_heat_transfer_coefficient_kg_per_m2_s\":[0.0,0.07040224291374243,0.07040224291374243],\"history_flow_enthalpy_j_per_kg\":[15200000.0,15200000.0,15200000.0],\"history_radiative_heating_w_per_m2\":[0.0,0.0,0.0],\"surroundings_temperature_k\":300.0,\"face_wears\":true,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2745,\"result\":{\"material_compared_with_measurement\":1.0e0,\"material_compared_with_measurement_hex\":\"3ff0000000000000\",\"duration_s\":5.5e1,\"duration_s_hex\":\"404b800000000000\",\"wear_m\":2.0047276945406125e-3,\"wear_m_hex\":\"3f606c37fc5580d5\",\"peak_face_temperature_k\":2.0124767125424446e3,\"peak_face_temperature_k_hex\":\"409f71e827552d92\",\"peak_face_temperature_at_s\":5.5e1,\"peak_face_temperature_at_s_hex\":\"404b800000000000\",\"final_face_temperature_k\":2.0124767125424446e3,\"final_face_temperature_k_hex\":\"409f71e827552d92\",\"final_back_temperature_k\":3.00000000300318e2,\"final_back_temperature_k_hex\":\"4072c00000509db2\",\"depth_half_way_to_virgin_m\":6.368757060819023e-3,\"depth_half_way_to_virgin_m_hex\":\"3f7a162034ad9dc4\",\"depth_within_2_percent_of_virgin_m\":8.393816309513703e-3,\"depth_within_2_percent_of_virgin_m_hex\":\"3f8130c6f44dcf27\",\"heat_from_stream_j_per_m2\":4.799307252979593e7,\"heat_from_stream_j_per_m2_hex\":\"4186e287843d05a6\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":4.154358068934175e7,\"heat_radiated_away_j_per_m2_hex\":\"4183cf3ce583c59c\",\"heat_taken_at_face_by_gases_j_per_m2\":-2.396333643223038e6,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"c1424856d25521ec\",\"heat_in_through_face_j_per_m2\":8.845825483677177e6,\"heat_in_through_face_j_per_m2_hex\":\"4160df402f7a488f\",\"heat_stored_in_solid_j_per_m2\":5.17098792933193e6,\"heat_stored_in_solid_j_per_m2_hex\":\"4153b9cafb7a2ca2\",\"heat_taken_by_gas_j_per_m2\":3.6775496900075437e6,\"heat_taken_by_gas_j_per_m2_hex\":\"414c0eb6d8522acd\",\"heat_given_off_by_decomposition_j_per_m2\":8.746042058520059e3,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"40c11505622c7016\",\"char_enthalpy_removed_j_per_m2\":1.2775135562196146e6,\"char_enthalpy_removed_j_per_m2_hex\":\"41337e498e64689e\",\"solid_mass_lost_kg_per_m2\":9.265500707872114e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3feda64c558466e0\",\"gas_mass_out_kg_per_m2\":4.9332914700713104e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fdf92b46a23ca00\",\"char_mass_removed_kg_per_m2\":4.3322092378005256e-1,\"char_mass_removed_kg_per_m2_hex\":\"3fdbb9e440e501cb\",\"inside_arc_jet_comparison\":1.0e0,\"inside_arc_jet_comparison_hex\":\"3ff0000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":1.620577472578128e3,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"4099524f54f8b596\",\"cells\":6.28e2,\"cells_hex\":\"4083a00000000000\",\"cells_at_end\":5.81e2,\"cells_at_end_hex\":\"4082280000000000\",\"time_steps\":2.745e3,\"time_steps_hex\":\"40a5720000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":1.521584636066109e-9,\"energy_account_residual_j_per_m2_hex\":\"3e1a240000000000\",\"energy_account_tolerance_j_per_m2\":3.8529683526065076e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fa3ba29a556e03a\",\"face_balance_residual_j_per_m2\":-7.976777555288208e-10,\"face_balance_residual_j_per_m2_hex\":\"be0b68729f0c3fec\",\"face_balance_tolerance_j_per_m2\":1.1801997278029508e-1,\"face_balance_tolerance_j_per_m2_hex\":\"3fbe368e935dbdd0\",\"mass_account_residual_kg_per_m2\":2.781108676686017e-14,\"mass_account_residual_kg_per_m2_hex\":\"3d1f500000000000\",\"mass_account_tolerance_kg_per_m2\":4.452892648891696e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e67e802517c4278\"},\"field_sha256\":\"59e335abba8ddb0b6ccbd19c0f992cfc0ef69e2e17727991189e7f9df85ecb70\",\"seal_parts\":{\"inputs\":\"dc3e3016c790b65d6d4146f00459f7e76cb331e2114c236a67b80d7b896592ff\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"88f754f364ecb7e54942940b9f0fc776c4fb95ad475f84bc142b92350ee7d19e\",\"invariants\":\"f5751454ca4458fed530eb076cf2eb6c13ebb03422103915415d1df7f6828bf0\",\"field_sha256\":\"37b43a6c78b933761198dae2f12274400d4e8017916c8ea4b277a17bf4510642\",\"outcome\":\"f8eb799beb1835843164159e2c06564f5e11d59602f8979d8facb03e4dc4ff2e\"},\"solution_seal\":\"b47489b8197cc8776db84bb814b7e3b2b55f61eb9093c0ed7b6ffbfaf888ce70\",\"receipt_sha256\":\"9ee0f054fd824f6a6a6783a6bb16251f3d1d471179616ad0c472f708692a3750\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.00000030000007, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: start temperature 300.00000030000007 K is in no PICA envelope compared with measurement: 300 K for the arc-jet tests, 260 K for the Stardust flight, 303.15 K for the thermocouple blocks (StartTemperatureNotCompared).", "outside_answer_is_error": true}
{"id": "edge-d24f49f57f93", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve_arc_jet_test", "input": "parameters.stream_argon_mass_fraction", "input_unit": "by mass", "whole_number_input": false, "base_value": 0.276, "edge_kind": "declared_limit", "direction": "down", "inside_value": 0.27598418108460804, "inside_value_hex": "3fd1a9b98dfe30e1", "outside_value": 0.275984181084608, "outside_value_hex": "3fd1a9b98dfe30e0", "width": 5.551115123125783e-17, "adjacent_64_bit_numbers": true, "stop_name": "QuestionNotCompared", "stop_sentence": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, the cold-wall heating falls to 1069999.9989299998 W/m2 between 0.5 and 0.5 s, below 1070000 W/m2 after the first 0.5 s; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2745, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "735a5dc493ec99456affeae1314094597d30a6adba09210fcc10dc090a4dd18c", "outside_proof": null, "inside_receipt": "f21d25474bbf8816d176a8b36e6ebdfa10ed782ac8990042568e18c4e56083bb", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:40:39Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.27598418108460804, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"PICA, open record, version 5\",\"thickness_m\":0.06,\"start_temperature_k\":300.0,\"thermocouple_depths_m\":[],\"face\":\"gas_stream\",\"stream_gas\":\"mixture\",\"stream_oxygen_mass_fraction\":0.16753359999999998,\"stream_argon_mass_fraction\":0.27598418108460804,\"history_time_s\":[0.0,0.5,55.0],\"history_pressure_pa\":[2300.0,2300.0,2300.0],\"history_heat_transfer_coefficient_kg_per_m2_s\":[0.0,0.07040224291374243,0.07040224291374243],\"history_flow_enthalpy_j_per_kg\":[15200000.0,15200000.0,15200000.0],\"history_radiative_heating_w_per_m2\":[0.0,0.0,0.0],\"surroundings_temperature_k\":300.0,\"face_wears\":true,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2745,\"result\":{\"material_compared_with_measurement\":1.0e0,\"material_compared_with_measurement_hex\":\"3ff0000000000000\",\"duration_s\":5.5e1,\"duration_s_hex\":\"404b800000000000\",\"wear_m\":2.004727719310229e-3,\"wear_m_hex\":\"3f606c37ffbd01b4\",\"peak_face_temperature_k\":2.0124760851167753e3,\"peak_face_temperature_k_hex\":\"409f71e782db5aa6\",\"peak_face_temperature_at_s\":5.5e1,\"peak_face_temperature_at_s_hex\":\"404b800000000000\",\"final_face_temperature_k\":2.0124760851167753e3,\"final_face_temperature_k_hex\":\"409f71e782db5aa6\",\"final_back_temperature_k\":3.0000000000031775e2,\"final_back_temperature_k_hex\":\"4072c000000015d6\",\"depth_half_way_to_virgin_m\":6.368754897627397e-3,\"depth_half_way_to_virgin_m_hex\":\"3f7a161fa00658c4\",\"depth_within_2_percent_of_virgin_m\":8.393814550017288e-3,\"depth_within_2_percent_of_virgin_m_hex\":\"3f8130c6b7d91d74\",\"heat_from_stream_j_per_m2\":4.799302975573575e7,\"heat_from_stream_j_per_m2_hex\":\"4186e2862e0bbf2f\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":4.154352905702739e7,\"heat_radiated_away_j_per_m2_hex\":\"4183cf3b4874cac7\",\"heat_taken_at_face_by_gases_j_per_m2\":-2.396320281550023e6,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"c14248502409d4c6\",\"heat_in_through_face_j_per_m2\":8.845820980258381e6,\"heat_in_through_face_j_per_m2_hex\":\"4160df3f9f5e46d3\",\"heat_stored_in_solid_j_per_m2\":5.17098553707333e6,\"heat_stored_in_solid_j_per_m2_hex\":\"4153b9ca625f68d1\",\"heat_taken_by_gas_j_per_m2\":3.677547758900076e6,\"heat_taken_by_gas_j_per_m2_hex\":\"414c0eb5e123a340\",\"heat_given_off_by_decomposition_j_per_m2\":8.746219612783829e3,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"40c1151c1c458e2a\",\"char_enthalpy_removed_j_per_m2\":1.2775129967356503e6,\"char_enthalpy_removed_j_per_m2_hex\":\"41337e48ff2a114d\",\"solid_mass_lost_kg_per_m2\":9.26549958484788e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3feda64c1939aca0\",\"gas_mass_out_kg_per_m2\":4.9332902806971e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fdf92b3ea6e850c\",\"char_mass_removed_kg_per_m2\":4.3322093041504917e-1,\"char_mass_removed_kg_per_m2_hex\":\"3fdbb9e44804d22c\",\"inside_arc_jet_comparison\":1.0e0,\"inside_arc_jet_comparison_hex\":\"3ff0000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":1.6205926709594203e3,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"4099525ee522cfff\",\"cells\":6.28e2,\"cells_hex\":\"4083a00000000000\",\"cells_at_end\":5.81e2,\"cells_at_end_hex\":\"4082280000000000\",\"time_steps\":2.745e3,\"time_steps_hex\":\"40a5720000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":4.29554347647354e-9,\"energy_account_residual_j_per_m2_hex\":\"3e32730000000000\",\"energy_account_tolerance_j_per_m2\":3.8529678861550544e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fa3ba297d457ffd\",\"face_balance_residual_j_per_m2\":-4.957026839213957e-9,\"face_balance_residual_j_per_m2_hex\":\"be354a4f039d7d40\",\"face_balance_tolerance_j_per_m2\":1.1801986279335915e-1,\"face_balance_tolerance_j_per_m2_hex\":\"3fbe368cbaf9d395\",\"mass_account_residual_kg_per_m2\":2.886579864025407e-14,\"mass_account_residual_kg_per_m2_hex\":\"3d20400000000000\",\"mass_account_tolerance_kg_per_m2\":4.452892658348824e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e67e80252565380\"},\"field_sha256\":\"a86d22fd8faca7431bcb6008ecb97356081bfe4ef802a7e2d56b1a4cf020967b\",\"seal_parts\":{\"inputs\":\"a6123c468163d20a6e3c5729d293a24156be75063fe44098cf5f52f0c403c2c8\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"69ad6e88f486f47f8c4f8fd9105dc44c4fe4de552e9684d7058f9f3ee3dad21e\",\"invariants\":\"3a2bdd48e5f518c4f077772b40e93235de79b1fdd0ff4325e29d3f69c80489d6\",\"field_sha256\":\"a3fcb53f48e2b35daa1354fcbd8507895f7fe5bd8baf1d0c622b4c4c16e681d8\",\"outcome\":\"f8eb799beb1835843164159e2c06564f5e11d59602f8979d8facb03e4dc4ff2e\"},\"solution_seal\":\"735a5dc493ec99456affeae1314094597d30a6adba09210fcc10dc090a4dd18c\",\"receipt_sha256\":\"f21d25474bbf8816d176a8b36e6ebdfa10ed782ac8990042568e18c4e56083bb\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.275984181084608, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, the cold-wall heating falls to 1069999.9989299998 W/m2 between 0.5 and 0.5 s, below 1070000 W/m2 after the first 0.5 s; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "outside_answer_is_error": true}
{"id": "edge-337e7af77856", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve_arc_jet_test", "input": "parameters.stream_argon_mass_fraction", "input_unit": "by mass", "whole_number_input": false, "base_value": 0.276, "edge_kind": "declared_limit", "direction": "up", "inside_value": 0.276000000276, "inside_value_hex": "3fd1a9fbe7b8690a", "outside_value": 0.2760000002760001, "outside_value_hex": "3fd1a9fbe7b8690b", "width": 5.551115123125783e-17, "adjacent_64_bit_numbers": true, "stop_name": "QuestionNotCompared", "stop_sentence": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, argon mass fraction 0.2760000002760001 is above 0.276; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2745, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "67f3b0b4c52a4a0268b4f82247390748b600c7c6bb8b6f2bced6b1d97fbad982", "outside_proof": null, "inside_receipt": "1eb4f5a4296f53e9f154483fc0198cf968386737ab1f611b0656d2813943883c", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:40:44Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276000000276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"PICA, open record, version 5\",\"thickness_m\":0.06,\"start_temperature_k\":300.0,\"thermocouple_depths_m\":[],\"face\":\"gas_stream\",\"stream_gas\":\"mixture\",\"stream_oxygen_mass_fraction\":0.16753359999999998,\"stream_argon_mass_fraction\":0.276000000276,\"history_time_s\":[0.0,0.5,55.0],\"history_pressure_pa\":[2300.0,2300.0,2300.0],\"history_heat_transfer_coefficient_kg_per_m2_s\":[0.0,0.07040224291374243,0.07040224291374243],\"history_flow_enthalpy_j_per_kg\":[15200000.0,15200000.0,15200000.0],\"history_radiative_heating_w_per_m2\":[0.0,0.0,0.0],\"surroundings_temperature_k\":300.0,\"face_wears\":true,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2745,\"result\":{\"material_compared_with_measurement\":1.0e0,\"material_compared_with_measurement_hex\":\"3ff0000000000000\",\"duration_s\":5.5e1,\"duration_s_hex\":\"404b800000000000\",\"wear_m\":2.0047276945531515e-3,\"wear_m_hex\":\"3f606c37fc55f1c6\",\"peak_face_temperature_k\":2.0124767125541694e3,\"peak_face_temperature_k_hex\":\"409f71e82755f700\",\"peak_face_temperature_at_s\":5.5e1,\"peak_face_temperature_at_s_hex\":\"404b800000000000\",\"final_face_temperature_k\":2.0124767125541694e3,\"final_face_temperature_k_hex\":\"409f71e82755f700\",\"final_back_temperature_k\":3.000000000003183e2,\"final_back_temperature_k_hex\":\"4072c000000015e0\",\"depth_half_way_to_virgin_m\":6.368757059998997e-3,\"depth_half_way_to_virgin_m_hex\":\"3f7a1620349f30b3\",\"depth_within_2_percent_of_virgin_m\":8.393816307748794e-3,\"depth_within_2_percent_of_virgin_m_hex\":\"3f8130c6f43e48ee\",\"heat_from_stream_j_per_m2\":4.7993072531048e7,\"heat_from_stream_j_per_m2_hex\":\"4186e287843f9618\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":4.154358069027824e7,\"heat_radiated_away_j_per_m2_hex\":\"4183cf3ce585b099\",\"heat_taken_at_face_by_gases_j_per_m2\":-2.396333643323012e6,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"c1424856d2586891\",\"heat_in_through_face_j_per_m2\":8.845825484092772e6,\"heat_in_through_face_j_per_m2_hex\":\"4160df402f7db020\",\"heat_stored_in_solid_j_per_m2\":5.170987930136955e6,\"heat_stored_in_solid_j_per_m2_hex\":\"4153b9cafb875d27\",\"heat_taken_by_gas_j_per_m2\":3.6775496895394083e6,\"heat_taken_by_gas_j_per_m2_hex\":\"414c0eb6d842d3cc\",\"heat_given_off_by_decomposition_j_per_m2\":8.746041979224363e3,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"40c115055f9341e0\",\"char_enthalpy_removed_j_per_m2\":1.2775135562375905e6,\"char_enthalpy_removed_j_per_m2_hex\":\"41337e498e659634\",\"solid_mass_lost_kg_per_m2\":9.265500707362975e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3feda64c557d6780\",\"gas_mass_out_kg_per_m2\":4.933291469534759e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fdf92b46a150a5b\",\"char_mass_removed_kg_per_m2\":4.332209237827943e-1,\"char_mass_removed_kg_per_m2_hex\":\"3fdbb9e440e5c2ba\",\"inside_arc_jet_comparison\":1.0e0,\"inside_arc_jet_comparison_hex\":\"3ff0000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":1.6205774723129557e3,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"4099524f54e6e9f6\",\"cells\":6.28e2,\"cells_hex\":\"4083a00000000000\",\"cells_at_end\":5.81e2,\"cells_at_end_hex\":\"4082280000000000\",\"time_steps\":2.745e3,\"time_steps_hex\":\"40a5720000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":1.7389538697898388e-9,\"energy_account_residual_j_per_m2_hex\":\"3e1de00000000000\",\"energy_account_tolerance_j_per_m2\":3.852968353697528e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fa3ba29a56ede20\",\"face_balance_residual_j_per_m2\":7.002624758257595e-10,\"face_balance_residual_j_per_m2_hex\":\"3e080f92e99fd70e\",\"face_balance_tolerance_j_per_m2\":1.1801997279022901e-1,\"face_balance_tolerance_j_per_m2_hex\":\"3fbe368e9368a9f7\",\"mass_account_residual_kg_per_m2\":2.7255975254547593e-14,\"mass_account_residual_kg_per_m2_hex\":\"3d1eb00000000000\",\"mass_account_tolerance_kg_per_m2\":4.452892648895524e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e67e802517c5911\"},\"field_sha256\":\"98170c1d63d7e2ac03fba50215a2ec143cf8bf66db0f7f61c9c67c670f0756b5\",\"seal_parts\":{\"inputs\":\"c4b5927e3d6df0a85adc59d0231feecb6146023ee1de909af1e027afaa6589d6\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"3f4081f482610ece54b4e6e59527bf5495df94d3d13c31ffc9bfa3281e29556c\",\"invariants\":\"bcddf9257695e8193c1a18e82a372d4ff6a420ac9251991e87fd26b5e3453706\",\"field_sha256\":\"25bb3143b3871fc8cc2912b989b565c2b4abd4d33d44f504e38973431e8c3d4a\",\"outcome\":\"f8eb799beb1835843164159e2c06564f5e11d59602f8979d8facb03e4dc4ff2e\"},\"solution_seal\":\"67f3b0b4c52a4a0268b4f82247390748b600c7c6bb8b6f2bced6b1d97fbad982\",\"receipt_sha256\":\"1eb4f5a4296f53e9f154483fc0198cf968386737ab1f611b0656d2813943883c\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.2760000002760001, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, argon mass fraction 0.2760000002760001 is above 0.276; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "outside_answer_is_error": true}
{"id": "edge-b0fe1839191a", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve_arc_jet_test", "input": "parameters.history_time_s[1]", "input_unit": "s", "whole_number_input": false, "base_value": 0.5, "edge_kind": "declared_limit", "direction": "down", "inside_value": 0.000999999999, "inside_value_hex": "3f50624dd2ab4b96", "outside_value": 0.0009999999989999998, "outside_value_hex": "3f50624dd2ab4b95", "width": 2.168404344971009e-19, "adjacent_64_bit_numbers": true, "stop_name": "HistoryRowsTooClose", "stop_sentence": "Physical Violation: row 1 of the heating history is 9.999999989999998e-4 s after the row before it; the least time between two rows is 0.001 s (HistoryRowsTooClose).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3411, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "78087893d350c3c86053fef8fab98202a60db47b8e8f34a2e900792bac3cedaf", "outside_proof": null, "inside_receipt": "0ee314ba0cab4bb1a1c8e42a4f2e31a5046edbe3d18db7892a14ef91709bd533", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:40:49Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.000999999999, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"PICA, open record, version 5\",\"thickness_m\":0.06,\"start_temperature_k\":300.0,\"thermocouple_depths_m\":[],\"face\":\"gas_stream\",\"stream_gas\":\"mixture\",\"stream_oxygen_mass_fraction\":0.16753359999999998,\"stream_argon_mass_fraction\":0.276,\"history_time_s\":[0.0,0.000999999999,55.0],\"history_pressure_pa\":[2300.0,2300.0,2300.0],\"history_heat_transfer_coefficient_kg_per_m2_s\":[0.0,0.07040224291374243,0.07040224291374243],\"history_flow_enthalpy_j_per_kg\":[15200000.0,15200000.0,15200000.0],\"history_radiative_heating_w_per_m2\":[0.0,0.0,0.0],\"surroundings_temperature_k\":300.0,\"face_wears\":true,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3411,\"result\":{\"material_compared_with_measurement\":1.0e0,\"material_compared_with_measurement_hex\":\"3ff0000000000000\",\"duration_s\":5.5e1,\"duration_s_hex\":\"404b800000000000\",\"wear_m\":2.014546646625219e-3,\"wear_m_hex\":\"3f6080cf7ed52ba3\",\"peak_face_temperature_k\":2.0125950301163969e3,\"peak_face_temperature_k_hex\":\"409f72614f93283d\",\"peak_face_temperature_at_s\":5.5e1,\"peak_face_temperature_at_s_hex\":\"404b800000000000\",\"final_face_temperature_k\":2.0125950301163969e3,\"final_face_temperature_k_hex\":\"409f72614f93283d\",\"final_back_temperature_k\":3.00000000000353e2,\"final_back_temperature_k_hex\":\"4072c00000001842\",\"depth_half_way_to_virgin_m\":6.381656898308384e-3,\"depth_half_way_to_virgin_m_hex\":\"3f7a23a6fac2abfe\",\"depth_within_2_percent_of_virgin_m\":8.411017408697711e-3,\"depth_within_2_percent_of_virgin_m_hex\":\"3f8139cba59250e2\",\"heat_from_stream_j_per_m2\":4.821065429492342e7,\"heat_from_stream_j_per_m2_hex\":\"4186fd16f25c00cf\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":4.1744641203493476e7,\"heat_radiated_away_j_per_m2_hex\":\"4183e7c809a0c130\",\"heat_taken_at_face_by_gases_j_per_m2\":-2.4081353270481555e6,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"c1425f63a9dcb6c6\",\"heat_in_through_face_j_per_m2\":8.874148418478046e6,\"heat_in_through_face_j_per_m2_hex\":\"4160ed148d642c12\",\"heat_stored_in_solid_j_per_m2\":5.185068849321505e6,\"heat_stored_in_solid_j_per_m2_hex\":\"4153c78b365b4896\",\"heat_taken_by_gas_j_per_m2\":3.691434530365491e6,\"heat_taken_by_gas_j_per_m2_hex\":\"414c29d543e30433\",\"heat_given_off_by_decomposition_j_per_m2\":8.462361110795671e3,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"40c0872e38e0e8d2\",\"char_enthalpy_removed_j_per_m2\":1.2841951516395973e6,\"char_enthalpy_removed_j_per_m2_hex\":\"4133986326d1da47\",\"solid_mass_lost_kg_per_m2\":9.299993168737828e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3fedc28ded68cec0\",\"gas_mass_out_kg_per_m2\":4.94694390149586e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fdfa912a8cd41b9\",\"char_mass_removed_kg_per_m2\":4.353049267241711e-1,\"char_mass_removed_kg_per_m2_hex\":\"3fdbdc09320459f8\",\"inside_arc_jet_comparison\":1.0e0,\"inside_arc_jet_comparison_hex\":\"3ff0000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":1.620577472578128e3,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"4099524f54f8b596\",\"cells\":6.28e2,\"cells_hex\":\"4083a00000000000\",\"cells_at_end\":5.81e2,\"cells_at_end_hex\":\"4082280000000000\",\"time_steps\":3.411e3,\"time_steps_hex\":\"40aaa60000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":-1.0487383406143636e-8,\"energy_account_residual_j_per_m2_hex\":\"be46858000000000\",\"energy_account_tolerance_j_per_m2\":4.769033065666944e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fa86addf502fb07\",\"face_balance_residual_j_per_m2\":5.4610419056510715e-9,\"face_balance_residual_j_per_m2_hex\":\"3e37747aa4a95932\",\"face_balance_tolerance_j_per_m2\":1.2780851547140207e-1,\"face_balance_tolerance_j_per_m2_hex\":\"3fc05c07890ccc35\",\"mass_account_residual_kg_per_m2\":2.5701663020072374e-14,\"mass_account_residual_kg_per_m2_hex\":\"3d1cf00000000000\",\"mass_account_tolerance_kg_per_m2\":5.547957367077823e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e6dc90df69eeb8c\"},\"field_sha256\":\"c184fbe2580a7ec28e477796011e700c71c164d05599387108208ac957d57c9c\",\"seal_parts\":{\"inputs\":\"3619dd91ac3127f20d858ab3aafad8dd5e416ac5cf893f6bd9cf2c039ad0ae36\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"c10454c27b53135bcdb6430c792874e1c3fe442af36c4e5f271a2e4393f38f54\",\"invariants\":\"b47c8bcc23936034bd746e0c133b83573186b08c70714122fe8ef4757a6c4a8c\",\"field_sha256\":\"500e95c8bcc918e2bcc5907d057c95a1ea0b5474211170d622323ddb15f619bc\",\"outcome\":\"8352267e570e2e32170d4bacf4338a3545273e89e6589d7033e61a5a61e628c8\"},\"solution_seal\":\"78087893d350c3c86053fef8fab98202a60db47b8e8f34a2e900792bac3cedaf\",\"receipt_sha256\":\"0ee314ba0cab4bb1a1c8e42a4f2e31a5046edbe3d18db7892a14ef91709bd533\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.0009999999989999998, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: row 1 of the heating history is 9.999999989999998e-4 s after the row before it; the least time between two rows is 0.001 s (HistoryRowsTooClose).", "outside_answer_is_error": true}
{"id": "edge-ff9f54444fa9", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve_arc_jet_test", "input": "parameters.history_time_s[1]", "input_unit": "s", "whole_number_input": false, "base_value": 0.5, "edge_kind": "declared_limit", "direction": "up", "inside_value": 0.5000000004999999, "inside_value_hex": "3fe000000044b82f", "outside_value": 0.5000000005, "outside_value_hex": "3fe000000044b830", "width": 1.1102230246251565e-16, "adjacent_64_bit_numbers": true, "stop_name": "QuestionNotCompared", "stop_sentence": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, the cold-wall heating falls to 1069999.9989299998 W/m2 between 0.5 and 0.5000000005 s, below 1070000 W/m2 after the first 0.5 s; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2745, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "ed60c5c83e6763c568efa0f2171b588d3ea96cea6f3aa13ad0b4d44b9dd5b6fb", "outside_proof": null, "inside_receipt": "85f19dc7744235bf9bfc0e0af7f94f086f6a647fe98bf26379ec25c81b117eab", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:40:54Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5000000004999999, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"PICA, open record, version 5\",\"thickness_m\":0.06,\"start_temperature_k\":300.0,\"thermocouple_depths_m\":[],\"face\":\"gas_stream\",\"stream_gas\":\"mixture\",\"stream_oxygen_mass_fraction\":0.16753359999999998,\"stream_argon_mass_fraction\":0.276,\"history_time_s\":[0.0,0.5000000004999999,55.0],\"history_pressure_pa\":[2300.0,2300.0,2300.0],\"history_heat_transfer_coefficient_kg_per_m2_s\":[0.0,0.07040224291374243,0.07040224291374243],\"history_flow_enthalpy_j_per_kg\":[15200000.0,15200000.0,15200000.0],\"history_radiative_heating_w_per_m2\":[0.0,0.0,0.0],\"surroundings_temperature_k\":300.0,\"face_wears\":true,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2745,\"result\":{\"material_compared_with_measurement\":1.0e0,\"material_compared_with_measurement_hex\":\"3ff0000000000000\",\"duration_s\":5.5e1,\"duration_s_hex\":\"404b800000000000\",\"wear_m\":2.0047276945439497e-3,\"wear_m_hex\":\"3f606c37fc559ee4\",\"peak_face_temperature_k\":2.0124767125431117e3,\"peak_face_temperature_k_hex\":\"409f71e827553908\",\"peak_face_temperature_at_s\":5.5e1,\"peak_face_temperature_at_s_hex\":\"404b800000000000\",\"final_face_temperature_k\":2.0124767125431117e3,\"final_face_temperature_k_hex\":\"409f71e827553908\",\"final_back_temperature_k\":3.0000000000031804e2,\"final_back_temperature_k_hex\":\"4072c000000015db\",\"depth_half_way_to_virgin_m\":6.368757059948745e-3,\"depth_half_way_to_virgin_m_hex\":\"3f7a1620349e4e62\",\"depth_within_2_percent_of_virgin_m\":8.393816307702867e-3,\"depth_within_2_percent_of_virgin_m_hex\":\"3f8130c6f43de183\",\"heat_from_stream_j_per_m2\":4.7993072530084394e7,\"heat_from_stream_j_per_m2_hex\":\"4186e287843d9ce3\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":4.154358068917777e7,\"heat_radiated_away_j_per_m2_hex\":\"4183cf3ce5836fa2\",\"heat_taken_at_face_by_gases_j_per_m2\":-2.396333643076749e6,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"c1424856d25056c3\",\"heat_in_through_face_j_per_m2\":8.845825483983375e6,\"heat_in_through_face_j_per_m2_hex\":\"4160df402f7ccab4\",\"heat_stored_in_solid_j_per_m2\":5.170987930080811e6,\"heat_stored_in_solid_j_per_m2_hex\":\"4153b9cafb8671aa\",\"heat_taken_by_gas_j_per_m2\":3.6775496894902755e6,\"heat_taken_by_gas_j_per_m2_hex\":\"414c0eb6d84137a4\",\"heat_given_off_by_decomposition_j_per_m2\":8.74604198364325e3,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"40c115055fb8535d\",\"char_enthalpy_removed_j_per_m2\":1.2775135562211424e6,\"char_enthalpy_removed_j_per_m2_hex\":\"41337e498e648240\",\"solid_mass_lost_kg_per_m2\":9.265500707310075e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3feda64c557cad60\",\"gas_mass_out_kg_per_m2\":4.9332914695011315e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fdf92b46a141db9\",\"char_mass_removed_kg_per_m2\":4.332209237808672e-1,\"char_mass_removed_kg_per_m2_hex\":\"3fdbb9e440e53b1e\",\"inside_arc_jet_comparison\":1.0e0,\"inside_arc_jet_comparison_hex\":\"3ff0000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":1.620577472578128e3,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"4099524f54f8b596\",\"cells\":6.28e2,\"cells_hex\":\"4083a00000000000\",\"cells_at_end\":5.81e2,\"cells_at_end_hex\":\"4082280000000000\",\"time_steps\":2.745e3,\"time_steps_hex\":\"40a5720000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":-3.1880517781246454e-8,\"energy_account_residual_j_per_m2_hex\":\"be611da000000000\",\"energy_account_tolerance_j_per_m2\":3.8529683537565466e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fa3ba29a5702a5f\",\"face_balance_residual_j_per_m2\":7.201397586724716e-9,\"face_balance_residual_j_per_m2_hex\":\"3e3eee0537cf5726\",\"face_balance_tolerance_j_per_m2\":1.1801997278818277e-1,\"face_balance_tolerance_j_per_m2_hex\":\"3fbe368e93666a00\",\"mass_account_residual_kg_per_m2\":2.7144952952085077e-14,\"mass_account_residual_kg_per_m2_hex\":\"3d1e900000000000\",\"mass_account_tolerance_kg_per_m2\":4.452892648895071e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e67e802517c5665\"},\"field_sha256\":\"70652d44595ba1590e383d979bfb313f0dd8a13e20f7533c95129201c03d4b55\",\"seal_parts\":{\"inputs\":\"d4b17aadbd70781c2e86f4d39d9aea03f0685d509e0823fb589a1ee9c9d65f63\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"6160c02013192669c589c86649e997ac48745f9dd46c172112f21f51a35373e0\",\"invariants\":\"6fec89eda5561d7ce02856da996bd8f04fe34eade714b9e6917410195d2f430f\",\"field_sha256\":\"f11e0a5a8569fc090bb3659b879613f116f355ab66b0f5e8d5802e47ad2776c9\",\"outcome\":\"f8eb799beb1835843164159e2c06564f5e11d59602f8979d8facb03e4dc4ff2e\"},\"solution_seal\":\"ed60c5c83e6763c568efa0f2171b588d3ea96cea6f3aa13ad0b4d44b9dd5b6fb\",\"receipt_sha256\":\"85f19dc7744235bf9bfc0e0af7f94f086f6a647fe98bf26379ec25c81b117eab\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5000000005, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, the cold-wall heating falls to 1069999.9989299998 W/m2 between 0.5 and 0.5000000005 s, below 1070000 W/m2 after the first 0.5 s; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "outside_answer_is_error": true}
{"id": "edge-ce0193e04868", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve_arc_jet_test", "input": "parameters.stream_oxygen_mass_fraction", "input_unit": "by mass", "whole_number_input": false, "base_value": 0.16753359999999998, "edge_kind": "declared_limit", "direction": "down", "inside_value": 0.16746594028367853, "inside_value_hex": "3fc56f86205b2c43", "outside_value": 0.1674659402836785, "outside_value_hex": "3fc56f86205b2c42", "width": 2.7755575615628914e-17, "adjacent_64_bit_numbers": true, "stop_name": "QuestionNotCompared", "stop_sentence": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, the cold-wall heating falls to 1069999.9989299998 W/m2 between 0.5 and 0.5 s, below 1070000 W/m2 after the first 0.5 s; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2745, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "2e76d834507854066f7c326fa5796aa743e8cfbe8f18e52af7b2e9bd91202b32", "outside_proof": null, "inside_receipt": "07ee09785aec303b9edaf39db477e161a2199f09f78ed620bf947f1cc7360896", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:40:58Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16746594028367853, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"PICA, open record, version 5\",\"thickness_m\":0.06,\"start_temperature_k\":300.0,\"thermocouple_depths_m\":[],\"face\":\"gas_stream\",\"stream_gas\":\"mixture\",\"stream_oxygen_mass_fraction\":0.16746594028367853,\"stream_argon_mass_fraction\":0.276,\"history_time_s\":[0.0,0.5,55.0],\"history_pressure_pa\":[2300.0,2300.0,2300.0],\"history_heat_transfer_coefficient_kg_per_m2_s\":[0.0,0.07040224291374243,0.07040224291374243],\"history_flow_enthalpy_j_per_kg\":[15200000.0,15200000.0,15200000.0],\"history_radiative_heating_w_per_m2\":[0.0,0.0,0.0],\"surroundings_temperature_k\":300.0,\"face_wears\":true,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2745,\"result\":{\"material_compared_with_measurement\":1.0e0,\"material_compared_with_measurement_hex\":\"3ff0000000000000\",\"duration_s\":5.5e1,\"duration_s_hex\":\"404b800000000000\",\"wear_m\":2.0039636555667434e-3,\"wear_m_hex\":\"3f606a9dcb9df4ce\",\"peak_face_temperature_k\":2.012476840370581e3,\"peak_face_temperature_k_hex\":\"409f71e848d7943b\",\"peak_face_temperature_at_s\":5.5e1,\"peak_face_temperature_at_s_hex\":\"404b800000000000\",\"final_face_temperature_k\":2.012476840370581e3,\"final_face_temperature_k_hex\":\"409f71e848d7943b\",\"final_back_temperature_k\":3.000000000003183e2,\"final_back_temperature_k_hex\":\"4072c000000015e0\",\"depth_half_way_to_virgin_m\":6.369202929012986e-3,\"depth_half_way_to_virgin_m_hex\":\"3f7a1697e481d5f5\",\"depth_within_2_percent_of_virgin_m\":8.394354517859515e-3,\"depth_within_2_percent_of_virgin_m_hex\":\"3f81310f31007bfa\",\"heat_from_stream_j_per_m2\":4.7993180744465046e7,\"heat_from_stream_j_per_m2_hex\":\"4186e28ae5f4aa17\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":4.154351784925056e7,\"heat_radiated_away_j_per_m2_hex\":\"4183cf3aeecb43e1\",\"heat_taken_at_face_by_gases_j_per_m2\":-2.395722061649697e6,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"c142472507e42324\",\"heat_in_through_face_j_per_m2\":8.845384956864143e6,\"heat_in_through_face_j_per_m2_hex\":\"4160df091e9ea18d\",\"heat_stored_in_solid_j_per_m2\":5.170698916931178e6,\"heat_stored_in_solid_j_per_m2_hex\":\"4153b982baaf001c\",\"heat_taken_by_gas_j_per_m2\":3.677438427838869e6,\"heat_taken_by_gas_j_per_m2_hex\":\"414c0e7f36c36c8f\",\"heat_given_off_by_decomposition_j_per_m2\":8.76376743378933e3,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"40c11de23b453982\",\"char_enthalpy_removed_j_per_m2\":1.277025983696848e6,\"char_enthalpy_removed_j_per_m2_hex\":\"41337c61fbd38e7f\",\"solid_mass_lost_kg_per_m2\":9.263678996661202e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3feda4ce4b242a90\",\"gas_mass_out_kg_per_m2\":4.933121654148943e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fdf926d304b422a\",\"char_mass_removed_kg_per_m2\":4.3305573425119837e-1,\"char_mass_removed_kg_per_m2_hex\":\"3fdbb72f65fd1106\",\"inside_arc_jet_comparison\":1.0e0,\"inside_arc_jet_comparison_hex\":\"3ff0000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":1.6205926709594205e3,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"4099525ee522d000\",\"cells\":6.28e2,\"cells_hex\":\"4083a00000000000\",\"cells_at_end\":5.81e2,\"cells_at_end_hex\":\"4082280000000000\",\"time_steps\":2.745e3,\"time_steps_hex\":\"40a5720000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":-1.011630956782028e-8,\"energy_account_residual_j_per_m2_hex\":\"be45b98000000000\",\"energy_account_tolerance_j_per_m2\":3.8529407050665036e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fa3ba205e6f0aa7\",\"face_balance_residual_j_per_m2\":-7.816382281956314e-9,\"face_balance_residual_j_per_m2_hex\":\"be40c91a02a8c353\",\"face_balance_tolerance_j_per_m2\":1.1801899777891682e-1,\"face_balance_tolerance_j_per_m2_hex\":\"3fbe367e37c46393\",\"mass_account_residual_kg_per_m2\":2.7533531010703882e-14,\"mass_account_residual_kg_per_m2_hex\":\"3d1f000000000000\",\"mass_account_tolerance_kg_per_m2\":4.452902844397475e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e67e805e7d09dee\"},\"field_sha256\":\"8916da004325c89f90d9da17372fc4d0624247397f8ae8c91c75526f3b859b1b\",\"seal_parts\":{\"inputs\":\"a39ae8777c0c0268688ccbb603a413c36e1ad51c32b179978d71d937e973249b\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"b35960278a63beb9d38df12aaf8e022c78cd2f00400fa18ce967c1d4203b9430\",\"invariants\":\"f1b2571777afa2c5a737647be1d51d3fcb70038b194ac4ecaf8ac1f88039cdcd\",\"field_sha256\":\"7fb663994b18ae61c269d0c8c93667165bed534e9ea8a100086ef9588fc79109\",\"outcome\":\"f8eb799beb1835843164159e2c06564f5e11d59602f8979d8facb03e4dc4ff2e\"},\"solution_seal\":\"2e76d834507854066f7c326fa5796aa743e8cfbe8f18e52af7b2e9bd91202b32\",\"receipt_sha256\":\"07ee09785aec303b9edaf39db477e161a2199f09f78ed620bf947f1cc7360896\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.1674659402836785, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, the cold-wall heating falls to 1069999.9989299998 W/m2 between 0.5 and 0.5 s, below 1070000 W/m2 after the first 0.5 s; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "outside_answer_is_error": true}
{"id": "edge-381bee8672b7", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve_arc_jet_test", "input": "parameters.stream_oxygen_mass_fraction", "input_unit": "by mass", "whole_number_input": false, "base_value": 0.16753359999999998, "edge_kind": "declared_limit", "direction": "up", "inside_value": 0.3000000003, "inside_value_hex": "3fd333333385a9d3", "outside_value": 0.30000000030000007, "outside_value_hex": "3fd333333385a9d4", "width": 5.551115123125783e-17, "adjacent_64_bit_numbers": true, "stop_name": "QuestionNotCompared", "stop_sentence": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, oxygen mass fraction 0.30000000030000007 is outside 0.1..=0.3; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2745, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "59e50eaca56d5cb27cdc22ae81cb33178517da3330bedcba5e1e492b977acbb0", "outside_proof": null, "inside_receipt": "afce666d92f2a52c02de6b4984690a55eb51b37763e5d014f8935f31ae97fa22", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:41:03Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.3000000003, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"PICA, open record, version 5\",\"thickness_m\":0.06,\"start_temperature_k\":300.0,\"thermocouple_depths_m\":[],\"face\":\"gas_stream\",\"stream_gas\":\"mixture\",\"stream_oxygen_mass_fraction\":0.3000000003,\"stream_argon_mass_fraction\":0.276,\"history_time_s\":[0.0,0.5,55.0],\"history_pressure_pa\":[2300.0,2300.0,2300.0],\"history_heat_transfer_coefficient_kg_per_m2_s\":[0.0,0.07040224291374243,0.07040224291374243],\"history_flow_enthalpy_j_per_kg\":[15200000.0,15200000.0,15200000.0],\"history_radiative_heating_w_per_m2\":[0.0,0.0,0.0],\"surroundings_temperature_k\":300.0,\"face_wears\":true,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2745,\"result\":{\"material_compared_with_measurement\":1.0e0,\"material_compared_with_measurement_hex\":\"3ff0000000000000\",\"duration_s\":5.5e1,\"duration_s_hex\":\"404b800000000000\",\"wear_m\":3.4377722172993976e-3,\"wear_m_hex\":\"3f6c2987e7d21c6c\",\"peak_face_temperature_k\":2.0124205906389097e3,\"peak_face_temperature_k_hex\":\"409f71aeaf4ffc7c\",\"peak_face_temperature_at_s\":5.5e1,\"peak_face_temperature_at_s_hex\":\"404b800000000000\",\"final_face_temperature_k\":2.0124205906389097e3,\"final_face_temperature_k_hex\":\"409f71aeaf4ffc7c\",\"final_back_temperature_k\":3.0000000000032696e2,\"final_back_temperature_k_hex\":\"4072c00000001678\",\"depth_half_way_to_virgin_m\":5.551458853135651e-3,\"depth_half_way_to_virgin_m_hex\":\"3f76bd206382485c\",\"depth_within_2_percent_of_virgin_m\":7.421528498944285e-3,\"depth_within_2_percent_of_virgin_m_hex\":\"3f7e660963075d00\",\"heat_from_stream_j_per_m2\":4.7643745307227865e7,\"heat_from_stream_j_per_m2_hex\":\"4186b7e30a7533e2\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":4.164138702468651e7,\"heat_radiated_away_j_per_m2_hex\":\"4183db2d58328ed7\",\"heat_taken_at_face_by_gases_j_per_m2\":-3.7077284932050733e6,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"c14c49a83f215806\",\"heat_in_through_face_j_per_m2\":9.710086775746563e6,\"heat_in_through_face_j_per_m2_hex\":\"41628540d8d2ea75\",\"heat_stored_in_solid_j_per_m2\":5.765925353874373e6,\"heat_stored_in_solid_j_per_m2_hex\":\"4155fec956a5e0b3\",\"heat_taken_by_gas_j_per_m2\":3.902741563018027e6,\"heat_taken_by_gas_j_per_m2_hex\":\"414dc68ac810f987\",\"heat_given_off_by_decomposition_j_per_m2\":-2.6094391197705874e4,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"c0d97b9909621a40\",\"char_enthalpy_removed_j_per_m2\":2.1925541141921803e6,\"char_enthalpy_removed_j_per_m2_hex\":\"4140ba550e9dd970\",\"solid_mass_lost_kg_per_m2\":1.2706968215817742e0,\"solid_mass_lost_kg_per_m2_hex\":\"3ff454c630bd32a8\",\"gas_mass_out_kg_per_m2\":5.275495843929192e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fe0e1afaa7f8d26\",\"char_mass_removed_kg_per_m2\":7.431472371888151e-1,\"char_mass_removed_kg_per_m2_hex\":\"3fe7c7dcb6fad6c3\",\"inside_arc_jet_comparison\":1.0e0,\"inside_arc_jet_comparison_hex\":\"3ff0000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":1.5908215749407157e3,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"4098db494af0f659\",\"cells\":6.28e2,\"cells_hex\":\"4083a00000000000\",\"cells_at_end\":5.66e2,\"cells_at_end_hex\":\"4081b00000000000\",\"time_steps\":2.745e3,\"time_steps_hex\":\"40a5720000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":-5.335095920599997e-9,\"energy_account_residual_j_per_m2_hex\":\"be36ea0000000000\",\"energy_account_tolerance_j_per_m2\":3.94065909132253e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fa42d19c67034e1\",\"face_balance_residual_j_per_m2\":-3.572528772567357e-9,\"face_balance_residual_j_per_m2_hex\":\"be2eb012e7f7070a\",\"face_balance_tolerance_j_per_m2\":1.198834095469704e-1,\"face_balance_tolerance_j_per_m2_hex\":\"3fbeb0addb565387\",\"mass_account_residual_kg_per_m2\":3.985700658404312e-14,\"mass_account_residual_kg_per_m2_hex\":\"3d26700000000000\",\"mass_account_tolerance_kg_per_m2\":4.433652151619522e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e67cd90ab8ef8a5\"},\"field_sha256\":\"1285b5f2ca07018373093e9a6f72db96b850325ecdf06b4b0efe7daa0b8f20c0\",\"seal_parts\":{\"inputs\":\"a8a5616b1e6eb26ffc4cc278c60af21a469248368047ca2486a269e20a4069b8\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"ab69e7a62c4bfb3afecaa39b6d58d2cdc74a22af6d93137bfe6d4b7c6fb123ba\",\"invariants\":\"bab7473484ef816ee66a81e26d12342f6e43d439d99111231a0076ecb32a7af1\",\"field_sha256\":\"bb92d29b561380e9900944581ab5d502170c3b343aa5d23c5fece4ca99744eee\",\"outcome\":\"f8eb799beb1835843164159e2c06564f5e11d59602f8979d8facb03e4dc4ff2e\"},\"solution_seal\":\"59e50eaca56d5cb27cdc22ae81cb33178517da3330bedcba5e1e492b977acbb0\",\"receipt_sha256\":\"afce666d92f2a52c02de6b4984690a55eb51b37763e5d014f8935f31ae97fa22\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.30000000030000007, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, oxygen mass fraction 0.30000000030000007 is outside 0.1..=0.3; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "outside_answer_is_error": true}
{"id": "edge-d76d4c60a78b", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve_arc_jet_test", "input": "parameters.history_heat_transfer_coefficient_kg_per_m2_s[0]", "input_unit": "kg/m²/s", "whole_number_input": false, "base_value": 0.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 0.7250773062479199, "inside_value_hex": "3fe733d552ad02ce", "outside_value": 0.72507730624792, "outside_value_hex": "3fe733d552ad02cf", "width": 1.1102230246251565e-16, "adjacent_64_bit_numbers": true, "stop_name": "QuestionNotCompared", "stop_sentence": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, the cold-wall heating reaches 11020000.011020001 W/m2 between 0 and 0.5 s, above 11020000 W/m2; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2725, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "625ad53d1faba25352541ac73d0e4e4d08088064ebedac39821f4686b462bfb4", "outside_proof": null, "inside_receipt": "32fdf5dea36ad21c2a28648d269e5e5747f292f5bc87822483ddddf37488d0a5", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:41:08Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.7250773062479199, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"PICA, open record, version 5\",\"thickness_m\":0.06,\"start_temperature_k\":300.0,\"thermocouple_depths_m\":[],\"face\":\"gas_stream\",\"stream_gas\":\"mixture\",\"stream_oxygen_mass_fraction\":0.16753359999999998,\"stream_argon_mass_fraction\":0.276,\"history_time_s\":[0.0,0.5,55.0],\"history_pressure_pa\":[2300.0,2300.0,2300.0],\"history_heat_transfer_coefficient_kg_per_m2_s\":[0.7250773062479199,0.07040224291374243,0.07040224291374243],\"history_flow_enthalpy_j_per_kg\":[15200000.0,15200000.0,15200000.0],\"history_radiative_heating_w_per_m2\":[0.0,0.0,0.0],\"surroundings_temperature_k\":300.0,\"face_wears\":true,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2725,\"result\":{\"material_compared_with_measurement\":1.0e0,\"material_compared_with_measurement_hex\":\"3ff0000000000000\",\"duration_s\":5.5e1,\"duration_s_hex\":\"404b800000000000\",\"wear_m\":2.0846060363461333e-3,\"wear_m_hex\":\"3f6113bc58096d77\",\"peak_face_temperature_k\":2.0130010183550353e3,\"peak_face_temperature_k_hex\":\"409f74010af4a64a\",\"peak_face_temperature_at_s\":5.5e1,\"peak_face_temperature_at_s_hex\":\"404b800000000000\",\"final_face_temperature_k\":2.0130010183550353e3,\"final_face_temperature_k_hex\":\"409f74010af4a64a\",\"final_back_temperature_k\":3.0000000000048396e2,\"final_back_temperature_k_hex\":\"4072c00000002142\",\"depth_half_way_to_virgin_m\":6.426687467677848e-3,\"depth_half_way_to_virgin_m_hex\":\"3f7a52dec7ecb498\",\"depth_within_2_percent_of_virgin_m\":8.471995337305457e-3,\"depth_within_2_percent_of_virgin_m_hex\":\"3f8159c3f73ea6b8\",\"heat_from_stream_j_per_m2\":4.992425238568989e7,\"heat_from_stream_j_per_m2_hex\":\"4187ce44e315e495\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":4.324041948961065e7,\"heat_radiated_away_j_per_m2_hex\":\"41849e5f1beab8fd\",\"heat_taken_at_face_by_gases_j_per_m2\":-2.593420821309135e6,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"c143c9466920a861\",\"heat_in_through_face_j_per_m2\":9.27725371738837e6,\"heat_in_through_face_j_per_m2_hex\":\"4161b1e8b6f4d874\",\"heat_stored_in_solid_j_per_m2\":5.31813409003011e6,\"heat_stored_in_solid_j_per_m2_hex\":\"4154497d85c30da7\",\"heat_taken_by_gas_j_per_m2\":3.8822885925314915e6,\"heat_taken_by_gas_j_per_m2_hex\":\"414d9e984bd81269\",\"heat_given_off_by_decomposition_j_per_m2\":-6.930102887117949e4,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"c0f0eb507641a03b\",\"char_enthalpy_removed_j_per_m2\":1.3640717984569226e6,\"char_enthalpy_removed_j_per_m2_hex\":\"4134d067cc67ac42\",\"solid_mass_lost_kg_per_m2\":9.519349904716243e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3fee76405e7fcc60\",\"gas_mass_out_kg_per_m2\":5.017089295878563e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fe00dffe2961cc0\",\"char_mass_removed_kg_per_m2\":4.50226060883739e-1,\"char_mass_removed_kg_per_m2_hex\":\"3fdcd080f7d35d35\",\"inside_arc_jet_comparison\":1.0e0,\"inside_arc_jet_comparison_hex\":\"3ff0000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":1.620577472578128e3,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"4099524f54f8b596\",\"cells\":6.28e2,\"cells_hex\":\"4083a00000000000\",\"cells_at_end\":5.8e2,\"cells_at_end_hex\":\"4082200000000000\",\"time_steps\":2.725e3,\"time_steps_hex\":\"40a54a0000000000\",\"hardest_step_newton_passes\":5.0e0,\"hardest_step_newton_passes_hex\":\"4014000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":1.8728314898908138e-8,\"energy_account_residual_j_per_m2_hex\":\"3e541c0000000000\",\"energy_account_tolerance_j_per_m2\":3.81778104113408e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fa38c0abe4c97fc\",\"face_balance_residual_j_per_m2\":-4.1031419515743623e-10,\"face_balance_residual_j_per_m2_hex\":\"bdfc3252db3e11c8\",\"face_balance_tolerance_j_per_m2\":1.1808181913837332e-1,\"face_balance_tolerance_j_per_m2_hex\":\"3fbe3a9c2f739586\",\"mass_account_residual_kg_per_m2\":2.9032332093947844e-14,\"mass_account_residual_kg_per_m2_hex\":\"3d20580000000000\",\"mass_account_tolerance_kg_per_m2\":4.411482901001029e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e67af188efb63c3\"},\"field_sha256\":\"78ced1f6911375afa48a7f674f29119eca6f740dd5714f32be47835ba3337b34\",\"seal_parts\":{\"inputs\":\"2850877fabf60bf608016ee57dab3e0bacfebd0b591db919c0d3374c38aa6c4f\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"3977936aad5b18788f9e3b7555b47bea05fa8c54eda69a4bf5f951d17dc4f181\",\"invariants\":\"d30547eeb94fed34f410e9e93c2296cf002717f253aeaa455af53e4c59ff74b4\",\"field_sha256\":\"a08009c067574ebfe434124da0fc54fbdac4ece56229d75e222cff01b253fce6\",\"outcome\":\"6238d71159a590153bd5876e2a52f4af4bb161c03d9f26ac3a909fa779a7e64f\"},\"solution_seal\":\"625ad53d1faba25352541ac73d0e4e4d08088064ebedac39821f4686b462bfb4\",\"receipt_sha256\":\"32fdf5dea36ad21c2a28648d269e5e5747f292f5bc87822483ddddf37488d0a5\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.72507730624792, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, the cold-wall heating reaches 11020000.011020001 W/m2 between 0 and 0.5 s, above 11020000 W/m2; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "outside_answer_is_error": true}
{"id": "edge-db6b22466bcb", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve_arc_jet_test", "input": "parameters.history_heat_transfer_coefficient_kg_per_m2_s[1]", "input_unit": "kg/m²/s", "whole_number_input": false, "base_value": 0.07040224291374243, "edge_kind": "declared_limit", "direction": "down", "inside_value": 0.0704022428433402, "inside_value_hex": "3fb205e1a293c321", "outside_value": 0.07040224284334018, "outside_value_hex": "3fb205e1a293c320", "width": 1.3877787807814457e-17, "adjacent_64_bit_numbers": true, "stop_name": "QuestionNotCompared", "stop_sentence": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, the cold-wall heating falls to 1069999.9989299998 W/m2 between 0.5 and 0.5 s, below 1070000 W/m2 after the first 0.5 s; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2745, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "7e933765e7ed529ac2e9eaebb662534b41c4e6064100c5ad80a176ea4530d0c4", "outside_proof": null, "inside_receipt": "cec570e9fedc6aaed15b2e5ac84f65946665c31455ad7320136c25b9e03280fc", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:41:13Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.0704022428433402, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"PICA, open record, version 5\",\"thickness_m\":0.06,\"start_temperature_k\":300.0,\"thermocouple_depths_m\":[],\"face\":\"gas_stream\",\"stream_gas\":\"mixture\",\"stream_oxygen_mass_fraction\":0.16753359999999998,\"stream_argon_mass_fraction\":0.276,\"history_time_s\":[0.0,0.5,55.0],\"history_pressure_pa\":[2300.0,2300.0,2300.0],\"history_heat_transfer_coefficient_kg_per_m2_s\":[0.0,0.0704022428433402,0.07040224291374243],\"history_flow_enthalpy_j_per_kg\":[15200000.0,15200000.0,15200000.0],\"history_radiative_heating_w_per_m2\":[0.0,0.0,0.0],\"surroundings_temperature_k\":300.0,\"face_wears\":true,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2745,\"result\":{\"material_compared_with_measurement\":1.0e0,\"material_compared_with_measurement_hex\":\"3ff0000000000000\",\"duration_s\":5.5e1,\"duration_s_hex\":\"404b800000000000\",\"wear_m\":2.004727693546716e-3,\"wear_m_hex\":\"3f606c37fc32889c\",\"peak_face_temperature_k\":2.01247671253358e3,\"peak_face_temperature_k_hex\":\"409f71e827549547\",\"peak_face_temperature_at_s\":5.5e1,\"peak_face_temperature_at_s_hex\":\"404b800000000000\",\"final_face_temperature_k\":2.01247671253358e3,\"final_face_temperature_k_hex\":\"409f71e827549547\",\"final_back_temperature_k\":3.0000000000031775e2,\"final_back_temperature_k_hex\":\"4072c000000015d6\",\"depth_half_way_to_virgin_m\":6.36875705940868e-3,\"depth_half_way_to_virgin_m_hex\":\"3f7a16203494ce26\",\"depth_within_2_percent_of_virgin_m\":8.393816307310889e-3,\"depth_within_2_percent_of_virgin_m_hex\":\"3f8130c6f43a6edb\",\"heat_from_stream_j_per_m2\":4.7993072506165236e7,\"heat_from_stream_j_per_m2_hex\":\"4186e287840ca05c\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":4.154358066648216e7,\"heat_radiated_away_j_per_m2_hex\":\"4183cf3ce554f499\",\"heat_taken_at_face_by_gases_j_per_m2\":-2.396333641700477e6,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"c1424856d2233dc1\",\"heat_in_through_face_j_per_m2\":8.845825481383538e6,\"heat_in_through_face_j_per_m2_hex\":\"4160df402f677e73\",\"heat_stored_in_solid_j_per_m2\":5.170987928774775e6,\"heat_stored_in_solid_j_per_m2_hex\":\"4153b9cafb710bc1\",\"heat_taken_by_gas_j_per_m2\":3.677549688274136e6,\"heat_taken_by_gas_j_per_m2_hex\":\"414c0eb6d8195dec\",\"heat_given_off_by_decomposition_j_per_m2\":8.746042133701802e3,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"40c1150564a31ba6\",\"char_enthalpy_removed_j_per_m2\":1.2775135553377874e6,\"char_enthalpy_removed_j_per_m2_hex\":\"41337e498e2a9e03\",\"solid_mass_lost_kg_per_m2\":9.265500704310963e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3feda64c55537530\",\"gas_mass_out_kg_per_m2\":4.933291468649666e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fdf92b469fcb611\",\"char_mass_removed_kg_per_m2\":4.3322092356610153e-1,\"char_mass_removed_kg_per_m2_hex\":\"3fdbb9e440aa3254\",\"inside_arc_jet_comparison\":1.0e0,\"inside_arc_jet_comparison_hex\":\"3ff0000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":1.620577472578128e3,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"4099524f54f8b596\",\"cells\":6.28e2,\"cells_hex\":\"4083a00000000000\",\"cells_at_end\":5.81e2,\"cells_at_end_hex\":\"4082280000000000\",\"time_steps\":2.745e3,\"time_steps_hex\":\"40a5720000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":1.1741576599888504e-8,\"energy_account_residual_j_per_m2_hex\":\"3e49370000000000\",\"energy_account_tolerance_j_per_m2\":3.852968353482534e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fa3ba29a56a23d1\",\"face_balance_residual_j_per_m2\":-7.0126057246429096e-9,\"face_balance_residual_j_per_m2_hex\":\"be3e1e710874517a\",\"face_balance_tolerance_j_per_m2\":1.1801997274035601e-1,\"face_balance_tolerance_j_per_m2_hex\":\"3fbe368e9331d3f7\",\"mass_account_residual_kg_per_m2\":2.8144153674247718e-14,\"mass_account_residual_kg_per_m2_hex\":\"3d1fb00000000000\",\"mass_account_tolerance_kg_per_m2\":4.452892648921233e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e67e802517cf0d4\"},\"field_sha256\":\"ec27f069d9262ff9ab92eb10426dffa171fecadc0892316185d30b21e83c40e2\",\"seal_parts\":{\"inputs\":\"fdcf86fa67cccf8dbc74970c2e79cfdeba76f3767aad698f4a349818919acac5\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"0d480a211b43c5c41f7bfab75311e1c9ce6ba1847ec969f3e4b96cc30c90012f\",\"invariants\":\"1c54db7c5917cb070b54efa9087c6b074a007991479eb490440a1c9fca81decd\",\"field_sha256\":\"491e239bcfe4f80eeadca3d00ed8439eb272450b3e48bfc0f5671a291ef34341\",\"outcome\":\"f8eb799beb1835843164159e2c06564f5e11d59602f8979d8facb03e4dc4ff2e\"},\"solution_seal\":\"7e933765e7ed529ac2e9eaebb662534b41c4e6064100c5ad80a176ea4530d0c4\",\"receipt_sha256\":\"cec570e9fedc6aaed15b2e5ac84f65946665c31455ad7320136c25b9e03280fc\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224284334018, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, the cold-wall heating falls to 1069999.9989299998 W/m2 between 0.5 and 0.5 s, below 1070000 W/m2 after the first 0.5 s; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "outside_answer_is_error": true}
{"id": "edge-885dc04317f9", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve_arc_jet_test", "input": "parameters.history_heat_transfer_coefficient_kg_per_m2_s[1]", "input_unit": "kg/m²/s", "whole_number_input": false, "base_value": 0.07040224291374243, "edge_kind": "declared_limit", "direction": "up", "inside_value": 0.7250773062479199, "inside_value_hex": "3fe733d552ad02ce", "outside_value": 0.72507730624792, "outside_value_hex": "3fe733d552ad02cf", "width": 1.1102230246251565e-16, "adjacent_64_bit_numbers": true, "stop_name": "QuestionNotCompared", "stop_sentence": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, the cold-wall heating reaches 11020000.011020001 W/m2 between 0 and 0.5 s, above 11020000 W/m2; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2763, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "879fb0a6b02630c448448f77619e5aab840219216fdeb7689a6501903ba8594e", "outside_proof": null, "inside_receipt": "a355d320e64883c8d83ffc6e88af1dda86e6c29a72c9cf64edb49ab92a22b9c7", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:41:18Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.7250773062479199, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"PICA, open record, version 5\",\"thickness_m\":0.06,\"start_temperature_k\":300.0,\"thermocouple_depths_m\":[],\"face\":\"gas_stream\",\"stream_gas\":\"mixture\",\"stream_oxygen_mass_fraction\":0.16753359999999998,\"stream_argon_mass_fraction\":0.276,\"history_time_s\":[0.0,0.5,55.0],\"history_pressure_pa\":[2300.0,2300.0,2300.0],\"history_heat_transfer_coefficient_kg_per_m2_s\":[0.0,0.7250773062479199,0.07040224291374243],\"history_flow_enthalpy_j_per_kg\":[15200000.0,15200000.0,15200000.0],\"history_radiative_heating_w_per_m2\":[0.0,0.0,0.0],\"surroundings_temperature_k\":300.0,\"face_wears\":true,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2763,\"result\":{\"material_compared_with_measurement\":1.0e0,\"material_compared_with_measurement_hex\":\"3ff0000000000000\",\"duration_s\":5.5e1,\"duration_s_hex\":\"404b800000000000\",\"wear_m\":1.2897600190379395e-2,\"wear_m_hex\":\"3f8a6a0e981dd324\",\"peak_face_temperature_k\":3.1050482761725725e3,\"peak_face_temperature_k_hex\":\"40a84218b7a78cc0\",\"peak_face_temperature_at_s\":4.0e0,\"peak_face_temperature_at_s_hex\":\"4010000000000000\",\"final_face_temperature_k\":2.0352487290172603e3,\"final_face_temperature_k_hex\":\"409fccfeb2d1cacc\",\"final_back_temperature_k\":3.0000000000224105e2,\"final_back_temperature_k_hex\":\"4072c00000009a01\",\"depth_half_way_to_virgin_m\":5.774569377992998e-3,\"depth_half_way_to_virgin_m_hex\":\"3f77a7132a080a58\",\"depth_within_2_percent_of_virgin_m\":7.056671103514964e-3,\"depth_within_2_percent_of_virgin_m_hex\":\"3f7ce774b9bb4a24\",\"heat_from_stream_j_per_m2\":2.1702597120905027e8,\"heat_from_stream_j_per_m2_hex\":\"41a9df1b666b08a3\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":1.921601642299541e8,\"heat_radiated_away_j_per_m2_hex\":\"41a6e8434875bc8b\",\"heat_taken_at_face_by_gases_j_per_m2\":-9.34779066336636e6,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"c161d459d53a4c17\",\"heat_in_through_face_j_per_m2\":3.4213597642462246e7,\"heat_in_through_face_j_per_m2_hex\":\"41805076ed23c33f\",\"heat_stored_in_solid_j_per_m2\":1.9132683041587655e7,\"heat_stored_in_solid_j_per_m2_hex\":\"41723f10b0aa57d1\",\"heat_taken_by_gas_j_per_m2\":1.3811117606158825e7,\"heat_taken_by_gas_j_per_m2_hex\":\"416a57b5b365a731\",\"heat_given_off_by_decomposition_j_per_m2\":-1.096157627116148e6,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"c130b9dda08aaf12\",\"char_enthalpy_removed_j_per_m2\":1.463423199049589e7,\"char_enthalpy_removed_j_per_m2_hex\":\"416be99effb22470\",\"solid_mass_lost_kg_per_m2\":3.8715051166379695e0,\"solid_mass_lost_kg_per_m2_hex\":\"400ef8d7acb20dd0\",\"gas_mass_out_kg_per_m2\":1.0874833712131864e0,\"gas_mass_out_kg_per_m2_hex\":\"3ff16654f6a4df15\",\"char_mass_removed_kg_per_m2\":2.784021745424668e0,\"char_mass_removed_kg_per_m2_hex\":\"400645ad315f9d42\",\"inside_arc_jet_comparison\":1.0e0,\"inside_arc_jet_comparison_hex\":\"3ff0000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":1.620577472578128e3,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"4099524f54f8b596\",\"cells\":6.28e2,\"cells_hex\":\"4083a00000000000\",\"cells_at_end\":4.71e2,\"cells_at_end_hex\":\"407d700000000000\",\"time_steps\":2.763e3,\"time_steps_hex\":\"40a5960000000000\",\"hardest_step_newton_passes\":5.0e0,\"hardest_step_newton_passes_hex\":\"4014000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":-1.178705133497715e-8,\"energy_account_residual_j_per_m2_hex\":\"be49500000000000\",\"energy_account_tolerance_j_per_m2\":8.293202130804321e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fb53b086f4f2917\",\"face_balance_residual_j_per_m2\":1.76337394769603e-8,\"face_balance_residual_j_per_m2_hex\":\"3e52ef201a267d28\",\"face_balance_tolerance_j_per_m2\":4.6253080488887593e-1,\"face_balance_tolerance_j_per_m2_hex\":\"3fdd9a1ace18fa55\",\"mass_account_residual_kg_per_m2\":1.1546319456101628e-13,\"mass_account_residual_kg_per_m2_hex\":\"3d40400000000000\",\"mass_account_tolerance_kg_per_m2\":4.2410694791971905e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e66c4e1aa85f6cb\"},\"field_sha256\":\"9991a654583724c76335a3c27ae82c1c209d30640b3cb45dccd6eee7c301f4a7\",\"seal_parts\":{\"inputs\":\"9095ad516ac0a39f670d7ea169352645501350a35dc2d9c84fd1b883e8328925\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"4a1ef36b794f00ebf61223949fc2b7ec7c77a8e832a48374f609c70b137d101b\",\"invariants\":\"ac90b770790af30f912f139a544e7b1e1180f74d4672ffc610ccffbf33ebec4e\",\"field_sha256\":\"775f5ca7a2012aaf40bb0576a472e97b81fe1f591f7dbed2db63b259ddfc8eb8\",\"outcome\":\"0d1b795371e7659fd909143ac75f1555c23bfd8cb428dd999e4bb9d3f1817ebb\"},\"solution_seal\":\"879fb0a6b02630c448448f77619e5aab840219216fdeb7689a6501903ba8594e\",\"receipt_sha256\":\"a355d320e64883c8d83ffc6e88af1dda86e6c29a72c9cf64edb49ab92a22b9c7\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.72507730624792, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, the cold-wall heating reaches 11020000.011020001 W/m2 between 0 and 0.5 s, above 11020000 W/m2; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "outside_answer_is_error": true}
{"id": "edge-7a8636fd2852", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve_arc_jet_test", "input": "parameters.history_time_s[2]", "input_unit": "s", "whole_number_input": false, "base_value": 55.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 1.0, "inside_value_hex": "3ff0000000000000", "outside_value": 0.9999999999999999, "outside_value_hex": "3fefffffffffffff", "width": 1.1102230246251565e-16, "adjacent_64_bit_numbers": true, "stop_name": "HistoryDurationOutOfRange", "stop_sentence": "Physical Violation: the heating history lasts 0.9999999999999999 s, outside 1..=600 (HistoryDurationOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 1270, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "66a6a2d2f7acc3f77200b67533e9884a9c07b2463008beca22ab807ea9020d27", "outside_proof": null, "inside_receipt": "064dbb9cdc4b7e84b287be011575a6d3e397ef9614060749e370b80053025848", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:41:23Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 1.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"PICA, open record, version 5\",\"thickness_m\":0.06,\"start_temperature_k\":300.0,\"thermocouple_depths_m\":[],\"face\":\"gas_stream\",\"stream_gas\":\"mixture\",\"stream_oxygen_mass_fraction\":0.16753359999999998,\"stream_argon_mass_fraction\":0.276,\"history_time_s\":[0.0,0.5,1.0],\"history_pressure_pa\":[2300.0,2300.0,2300.0],\"history_heat_transfer_coefficient_kg_per_m2_s\":[0.0,0.07040224291374243,0.07040224291374243],\"history_flow_enthalpy_j_per_kg\":[15200000.0,15200000.0,15200000.0],\"history_radiative_heating_w_per_m2\":[0.0,0.0,0.0],\"surroundings_temperature_k\":300.0,\"face_wears\":true,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":1270,\"result\":{\"material_compared_with_measurement\":1.0e0,\"material_compared_with_measurement_hex\":\"3ff0000000000000\",\"duration_s\":1.0e0,\"duration_s_hex\":\"3ff0000000000000\",\"wear_m\":2.2045998257435383e-5,\"wear_m_hex\":\"3ef71ded76e13254\",\"peak_face_temperature_k\":1.6054676676691467e3,\"peak_face_temperature_k_hex\":\"409915dee4460187\",\"peak_face_temperature_at_s\":1.0e0,\"peak_face_temperature_at_s_hex\":\"3ff0000000000000\",\"final_face_temperature_k\":1.6054676676691467e3,\"final_face_temperature_k_hex\":\"409915dee4460187\",\"final_back_temperature_k\":3.0e2,\"final_back_temperature_k_hex\":\"4072c00000000000\",\"depth_half_way_to_virgin_m\":3.667194932619339e-4,\"depth_half_way_to_virgin_m_hex\":\"3f3808883af93f15\",\"depth_within_2_percent_of_virgin_m\":5.453154435253947e-4,\"depth_within_2_percent_of_virgin_m_hex\":\"3f41de6fff7b22c1\",\"heat_from_stream_j_per_m2\":5.931568725727631e5,\"heat_from_stream_j_per_m2_hex\":\"41221a09bec1db72\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":1.667676850863587e5,\"heat_radiated_away_j_per_m2_hex\":\"41045b7d7b0e8e8c\",\"heat_taken_at_face_by_gases_j_per_m2\":-2.7689071606562743e3,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"c0a5a1d0775c8dd5\",\"heat_in_through_face_j_per_m2\":4.291580946470605e5,\"heat_in_through_face_j_per_m2_hex\":\"411a319860eb28b6\",\"heat_stored_in_solid_j_per_m2\":3.546723568866654e5,\"heat_stored_in_solid_j_per_m2_hex\":\"4115a5c16d73b2b1\",\"heat_taken_by_gas_j_per_m2\":5.265182393739143e4,\"heat_taken_by_gas_j_per_m2_hex\":\"40e9b57a5db1f2c5\",\"heat_given_off_by_decomposition_j_per_m2\":-2.166952823390559e4,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"c0d52961ce959549\",\"char_enthalpy_removed_j_per_m2\":7.680248945685849e3,\"char_enthalpy_removed_j_per_m2_hex\":\"40be003fbae78b34\",\"solid_mass_lost_kg_per_m2\":2.6013817303489617e-2,\"solid_mass_lost_kg_per_m2_hex\":\"3f9aa35dba401c00\",\"gas_mass_out_kg_per_m2\":2.0875013178723128e-2,\"gas_mass_out_kg_per_m2_hex\":\"3f9560426b9feeeb\",\"char_mass_removed_kg_per_m2\":5.138804124762998e-3,\"char_mass_removed_kg_per_m2_hex\":\"3f750c6d3a80a49b\",\"inside_arc_jet_comparison\":1.0e0,\"inside_arc_jet_comparison_hex\":\"3ff0000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":1.620577472578128e3,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"4099524f54f8b596\",\"cells\":6.28e2,\"cells_hex\":\"4083a00000000000\",\"cells_at_end\":6.27e2,\"cells_at_end_hex\":\"4083980000000000\",\"time_steps\":1.27e3,\"time_steps_hex\":\"4093d80000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":-8.497806902596494e-10,\"energy_account_residual_j_per_m2_hex\":\"be0d32c000000000\",\"energy_account_tolerance_j_per_m2\":1.7269718439048804e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3f91af272fa09b65\",\"face_balance_residual_j_per_m2\":1.8055815227516423e-10,\"face_balance_residual_j_per_m2_hex\":\"3de8d0d3412e237e\",\"face_balance_tolerance_j_per_m2\":1.7269718439048804e-2,\"face_balance_tolerance_j_per_m2_hex\":\"3f91af272fa09b65\",\"mass_account_residual_kg_per_m2\":3.4911309954033243e-15,\"mass_account_residual_kg_per_m2_hex\":\"3cef720000000000\",\"mass_account_tolerance_kg_per_m2\":2.0871956663672277e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e56693d6103146d\"},\"field_sha256\":\"7bf686c88ca64a776801af2cea29396666b1e3086ee4d42ec2c2c51dedea9398\",\"seal_parts\":{\"inputs\":\"5188835bb6beceeb0755be21ab1f343fb8e361d080e4721f9f09e0f5b5f80761\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"4e84d9f547b35827f86bb2de4d51b3389a97e082a87736c7e38250cf9b2b1dce\",\"invariants\":\"4fa2ffb6f8d66a291f8bc216df64c7cac21dfa05588bf1a3664f85c5f1f8d4ab\",\"field_sha256\":\"3f4d67fc2da626a4bd4b342b365b4cdbf6a794c58e6d9ce19fa6834dee84e6f1\",\"outcome\":\"554bf71c17d0e2363a6b702044e92863ca18c92700936074499ff80250070599\"},\"solution_seal\":\"66a6a2d2f7acc3f77200b67533e9884a9c07b2463008beca22ab807ea9020d27\",\"receipt_sha256\":\"064dbb9cdc4b7e84b287be011575a6d3e397ef9614060749e370b80053025848\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 0.9999999999999999], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: the heating history lasts 0.9999999999999999 s, outside 1..=600 (HistoryDurationOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-02d1dae1eb3a", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve_arc_jet_test", "input": "parameters.history_time_s[2]", "input_unit": "s", "whole_number_input": false, "base_value": 55.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 400.0, "inside_value_hex": "4079000000000000", "outside_value": 400.00000000000006, "outside_value_hex": "4079000000000001", "width": 5.684341886080802e-14, "adjacent_64_bit_numbers": true, "stop_name": "QuestionNotCompared", "stop_sentence": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, the heating history lasts 400.00000000000006 s, longer than 400 s; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 9645, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "2b05f3f363f851445ae9f8b2fc7b8a752cb3d23066dcc10c379e6f3639af494c", "outside_proof": null, "inside_receipt": "ba5b020f82a31be0d60ea027f0d20f79d9390c7effc0f4f2d2a629fcdfb9db2a", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:41:26Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 400.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"PICA, open record, version 5\",\"thickness_m\":0.06,\"start_temperature_k\":300.0,\"thermocouple_depths_m\":[],\"face\":\"gas_stream\",\"stream_gas\":\"mixture\",\"stream_oxygen_mass_fraction\":0.16753359999999998,\"stream_argon_mass_fraction\":0.276,\"history_time_s\":[0.0,0.5,400.0],\"history_pressure_pa\":[2300.0,2300.0,2300.0],\"history_heat_transfer_coefficient_kg_per_m2_s\":[0.0,0.07040224291374243,0.07040224291374243],\"history_flow_enthalpy_j_per_kg\":[15200000.0,15200000.0,15200000.0],\"history_radiative_heating_w_per_m2\":[0.0,0.0,0.0],\"surroundings_temperature_k\":300.0,\"face_wears\":true,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":9645,\"result\":{\"material_compared_with_measurement\":1.0e0,\"material_compared_with_measurement_hex\":\"3ff0000000000000\",\"duration_s\":4.0e2,\"duration_s_hex\":\"4079000000000000\",\"wear_m\":1.511597008092001e-2,\"wear_m_hex\":\"3f8ef51f2928af76\",\"peak_face_temperature_k\":2.047924405510422e3,\"peak_face_temperature_k_hex\":\"409fffb2975bae05\",\"peak_face_temperature_at_s\":4.0e2,\"peak_face_temperature_at_s_hex\":\"4079000000000000\",\"final_face_temperature_k\":2.047924405510422e3,\"final_face_temperature_k_hex\":\"409fffb2975bae05\",\"final_back_temperature_k\":3.242531756702606e2,\"final_back_temperature_k_hex\":\"4074440d01ee7e98\",\"depth_half_way_to_virgin_m\":1.4688440631131169e-2,\"depth_half_way_to_virgin_m_hex\":\"3f8e14f9211e9bfe\",\"depth_within_2_percent_of_virgin_m\":2.0640322858050664e-2,\"depth_within_2_percent_of_virgin_m_hex\":\"3f9522bc9e9de8ed\",\"heat_from_stream_j_per_m2\":3.6515452638802016e8,\"heat_from_stream_j_per_m2_hex\":\"41b5c3d0de63554a\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":3.4538483691361254e8,\"heat_radiated_away_j_per_m2_hex\":\"41b4962784e9e283\",\"heat_taken_at_face_by_gases_j_per_m2\":-1.339493984572562e7,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"c1698c7f7b102f2d\",\"heat_in_through_face_j_per_m2\":3.3164629320133246e7,\"heat_in_through_face_j_per_m2_hex\":\"417fa0d5551f440a\",\"heat_stored_in_solid_j_per_m2\":1.886528850465253e7,\"heat_stored_in_solid_j_per_m2_hex\":\"4171fdc888130e88\",\"heat_taken_by_gas_j_per_m2\":1.56256143585237e7,\"heat_taken_by_gas_j_per_m2_hex\":\"416dcdb1cb7906b2\",\"heat_given_off_by_decomposition_j_per_m2\":1.3696462210654942e6,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"4134e62e3897bf8c\",\"char_enthalpy_removed_j_per_m2\":1.0114025235567462e7,\"char_enthalpy_removed_j_per_m2_hex\":\"41634a7d2789c4c6\",\"solid_mass_lost_kg_per_m2\":5.038603998509016e0,\"solid_mass_lost_kg_per_m2_hex\":\"40142787ce7c5d3e\",\"gas_mass_out_kg_per_m2\":1.7797082932538144e0,\"gas_mass_out_kg_per_m2_hex\":\"3ffc79af673f1f2c\",\"char_mass_removed_kg_per_m2\":3.258895705255052e0,\"char_mass_removed_kg_per_m2_hex\":\"400a1237e9592995\",\"inside_arc_jet_comparison\":1.0e0,\"inside_arc_jet_comparison_hex\":\"3ff0000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":1.620577472578128e3,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"4099524f54f8b596\",\"cells\":6.28e2,\"cells_hex\":\"4083a00000000000\",\"cells_at_end\":4.49e2,\"cells_at_end_hex\":\"407c100000000000\",\"time_steps\":9.645e3,\"time_steps_hex\":\"40c2d68000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":-5.069159669801593e-8,\"energy_account_residual_j_per_m2_hex\":\"be6b370000000000\",\"energy_account_tolerance_j_per_m2\":1.2012139309108491e-1,\"energy_account_tolerance_j_per_m2_hex\":\"3fbec0468ee04cae\",\"face_balance_residual_j_per_m2\":-2.483592737355884e-9,\"face_balance_residual_j_per_m2_hex\":\"be25557a6a72a7cd\",\"face_balance_tolerance_j_per_m2\":7.743400929090197e-1,\"face_balance_tolerance_j_per_m2_hex\":\"3fe8c764dfe0d3b1\",\"mass_account_residual_kg_per_m2\":1.496580637194711e-13,\"mass_account_residual_kg_per_m2_hex\":\"3d45100000000000\",\"mass_account_tolerance_kg_per_m2\":1.3698542730434309e-7,\"mass_account_tolerance_kg_per_m2_hex\":\"3e8262c88fae77b1\"},\"field_sha256\":\"58aec7d9368581982abc068ae05a654872eda02c62ff7262e42ff0c68f6bb3dc\",\"seal_parts\":{\"inputs\":\"5d65bcb485f06db604bba5a2c6e9fadd2026a673f7f1a782cb4cee9b057b743c\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"f4cce7f67509f06bf58e589e8776a16c26b3dd0f8ae32264a420de517963c90d\",\"invariants\":\"f4310313d6705fb552bf87dcbfb423eddc9e5c2eb9e4c4080f05eb23ae666b3b\",\"field_sha256\":\"e2de22d033f8e0b1db044570be26ee2a7c9581f285dd0ec876428124c909f3db\",\"outcome\":\"a12cafdb9c92377f2b90ca4a7eb15bb8a21314b4c7bb47a8bd0109f8f613d32d\"},\"solution_seal\":\"2b05f3f363f851445ae9f8b2fc7b8a752cb3d23066dcc10c379e6f3639af494c\",\"receipt_sha256\":\"ba5b020f82a31be0d60ea027f0d20f79d9390c7effc0f4f2d2a629fcdfb9db2a\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 400.00000000000006], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, the heating history lasts 400.00000000000006 s, longer than 400 s; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "outside_answer_is_error": true}
{"id": "edge-97bca6e9363b", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve_arc_jet_test", "input": "parameters.history_pressure_pa[0]", "input_unit": "Pa", "whole_number_input": false, "base_value": 2300.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 2299.9999977, "inside_value_hex": "40a1f7ffffb2d327", "outside_value": 2299.9999976999998, "outside_value_hex": "40a1f7ffffb2d326", "width": 4.547473508864641e-13, "adjacent_64_bit_numbers": true, "stop_name": "QuestionNotCompared", "stop_sentence": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, row 0 has wall pressure 2299.9999976999998 Pa, outside 2300..=84400 Pa; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2745, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "01d2f960128ebb6a20030feea755aea536ce1e5af9d3355294e88adf30f43463", "outside_proof": null, "inside_receipt": "35cc832b1a69ff3cdab0bfa634ee7cd01b1252f7d91cedb6ae12cf0adf0f6f70", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:41:36Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2299.9999977, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"PICA, open record, version 5\",\"thickness_m\":0.06,\"start_temperature_k\":300.0,\"thermocouple_depths_m\":[],\"face\":\"gas_stream\",\"stream_gas\":\"mixture\",\"stream_oxygen_mass_fraction\":0.16753359999999998,\"stream_argon_mass_fraction\":0.276,\"history_time_s\":[0.0,0.5,55.0],\"history_pressure_pa\":[2299.9999977,2300.0,2300.0],\"history_heat_transfer_coefficient_kg_per_m2_s\":[0.0,0.07040224291374243,0.07040224291374243],\"history_flow_enthalpy_j_per_kg\":[15200000.0,15200000.0,15200000.0],\"history_radiative_heating_w_per_m2\":[0.0,0.0,0.0],\"surroundings_temperature_k\":300.0,\"face_wears\":true,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2745,\"result\":{\"material_compared_with_measurement\":1.0e0,\"material_compared_with_measurement_hex\":\"3ff0000000000000\",\"duration_s\":5.5e1,\"duration_s_hex\":\"404b800000000000\",\"wear_m\":2.004727694553623e-3,\"wear_m_hex\":\"3f606c37fc55f605\",\"peak_face_temperature_k\":2.0124767125432197e3,\"peak_face_temperature_k_hex\":\"409f71e827553ae3\",\"peak_face_temperature_at_s\":5.5e1,\"peak_face_temperature_at_s_hex\":\"404b800000000000\",\"final_face_temperature_k\":2.0124767125432197e3,\"final_face_temperature_k_hex\":\"409f71e827553ae3\",\"final_back_temperature_k\":3.000000000003183e2,\"final_back_temperature_k_hex\":\"4072c000000015e0\",\"depth_half_way_to_virgin_m\":6.3687570599610215e-3,\"depth_half_way_to_virgin_m_hex\":\"3f7a1620349e85ac\",\"depth_within_2_percent_of_virgin_m\":8.39381630771781e-3,\"depth_within_2_percent_of_virgin_m_hex\":\"3f8130c6f43e0329\",\"heat_from_stream_j_per_m2\":4.7993072530300975e7,\"heat_from_stream_j_per_m2_hex\":\"4186e287843e0e70\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":4.154358068937657e7,\"heat_radiated_away_j_per_m2_hex\":\"4183cf3ce583d7dd\",\"heat_taken_at_face_by_gases_j_per_m2\":-2.396333643089855e6,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"c1424856d250c4b4\",\"heat_in_through_face_j_per_m2\":8.84582548401423e6,\"heat_in_through_face_j_per_m2_hex\":\"4160df402f7d0b69\",\"heat_stored_in_solid_j_per_m2\":5.1709879300951e6,\"heat_stored_in_solid_j_per_m2_hex\":\"4153b9cafb86ad99\",\"heat_taken_by_gas_j_per_m2\":3.6775496895058258e6,\"heat_taken_by_gas_j_per_m2_hex\":\"414c0eb6d841ba16\",\"heat_given_off_by_decomposition_j_per_m2\":8.746041982283063e3,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"40c115055facea62\",\"char_enthalpy_removed_j_per_m2\":1.277513556227841e6,\"char_enthalpy_removed_j_per_m2_hex\":\"41337e498e64f2a2\",\"solid_mass_lost_kg_per_m2\":9.265500707343364e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3feda64c557d2280\",\"gas_mass_out_kg_per_m2\":4.933291469513925e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fdf92b46a1477c0\",\"char_mass_removed_kg_per_m2\":4.332209237829159e-1,\"char_mass_removed_kg_per_m2_hex\":\"3fdbb9e440e5cb48\",\"inside_arc_jet_comparison\":1.0e0,\"inside_arc_jet_comparison_hex\":\"3ff0000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":1.620577472578128e3,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"4099524f54f8b596\",\"cells\":6.28e2,\"cells_hex\":\"4083a00000000000\",\"cells_at_end\":5.81e2,\"cells_at_end_hex\":\"4082280000000000\",\"time_steps\":2.745e3,\"time_steps_hex\":\"40a5720000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":6.448317435570061e-10,\"energy_account_residual_j_per_m2_hex\":\"3e06280000000000\",\"energy_account_tolerance_j_per_m2\":3.8529683536895565e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fa3ba29a56eb140\",\"face_balance_residual_j_per_m2\":4.685157900718854e-9,\"face_balance_residual_j_per_m2_hex\":\"3e341f62b6037aa0\",\"face_balance_tolerance_j_per_m2\":1.1801997278831013e-1,\"face_balance_tolerance_j_per_m2_hex\":\"3fbe368e93668dd9\",\"mass_account_residual_kg_per_m2\":2.7977620220553945e-14,\"mass_account_residual_kg_per_m2_hex\":\"3d1f800000000000\",\"mass_account_tolerance_kg_per_m2\":4.452892648895689e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e67e802517c5a0b\"},\"field_sha256\":\"82112b16ee14a3cf84995f32f12a4445e2a6475fdb3945f07c889f4db99407a8\",\"seal_parts\":{\"inputs\":\"4f97941af59d94e2684c9f41a71715edf5d081408e29e5714656c7257051d5d2\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"ddcf926cf3b5ff3b669f1887244de523e6b23b8423e873db6f781aa57d404aa5\",\"invariants\":\"bde5999ca918ab5dcbbad6dae5361d1c1a99193a0536123d23bc869471f39d89\",\"field_sha256\":\"57861c72a7fec26a8ac40d2c9dd50279ccef6661249840976164b4f7a4ee230c\",\"outcome\":\"f8eb799beb1835843164159e2c06564f5e11d59602f8979d8facb03e4dc4ff2e\"},\"solution_seal\":\"01d2f960128ebb6a20030feea755aea536ce1e5af9d3355294e88adf30f43463\",\"receipt_sha256\":\"35cc832b1a69ff3cdab0bfa634ee7cd01b1252f7d91cedb6ae12cf0adf0f6f70\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2299.9999976999998, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, row 0 has wall pressure 2299.9999976999998 Pa, outside 2300..=84400 Pa; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "outside_answer_is_error": true}
{"id": "edge-524b1cf491ff", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve_arc_jet_test", "input": "parameters.history_pressure_pa[0]", "input_unit": "Pa", "whole_number_input": false, "base_value": 2300.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 84400.0000844, "inside_value_hex": "40f49b0000587ff4", "outside_value": 84400.00008440002, "outside_value_hex": "40f49b0000587ff5", "width": 1.4551915228366852e-11, "adjacent_64_bit_numbers": true, "stop_name": "QuestionNotCompared", "stop_sentence": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, row 0 has wall pressure 84400.00008440002 Pa, outside 2300..=84400 Pa; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2745, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "a8a54be55a7cad7456c4fa09243162964ad4bfe1dfb1fb3749b3537bc4bec48b", "outside_proof": null, "inside_receipt": "2641040dd444ebeaa9b82b3d4780170c53ac029537af9125f8a6de609396b1ce", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:41:41Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [84400.0000844, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"PICA, open record, version 5\",\"thickness_m\":0.06,\"start_temperature_k\":300.0,\"thermocouple_depths_m\":[],\"face\":\"gas_stream\",\"stream_gas\":\"mixture\",\"stream_oxygen_mass_fraction\":0.16753359999999998,\"stream_argon_mass_fraction\":0.276,\"history_time_s\":[0.0,0.5,55.0],\"history_pressure_pa\":[84400.0000844,2300.0,2300.0],\"history_heat_transfer_coefficient_kg_per_m2_s\":[0.0,0.07040224291374243,0.07040224291374243],\"history_flow_enthalpy_j_per_kg\":[15200000.0,15200000.0,15200000.0],\"history_radiative_heating_w_per_m2\":[0.0,0.0,0.0],\"surroundings_temperature_k\":300.0,\"face_wears\":true,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2745,\"result\":{\"material_compared_with_measurement\":1.0e0,\"material_compared_with_measurement_hex\":\"3ff0000000000000\",\"duration_s\":5.5e1,\"duration_s_hex\":\"404b800000000000\",\"wear_m\":2.001332383445797e-3,\"wear_m_hex\":\"3f606519245495ff\",\"peak_face_temperature_k\":2.0124902099591989e3,\"peak_face_temperature_k_hex\":\"409f71f5f9997bbb\",\"peak_face_temperature_at_s\":5.5e1,\"peak_face_temperature_at_s_hex\":\"404b800000000000\",\"final_face_temperature_k\":2.0124902099591989e3,\"final_face_temperature_k_hex\":\"409f71f5f9997bbb\",\"final_back_temperature_k\":3.000000000003207e2,\"final_back_temperature_k_hex\":\"4072c0000000160a\",\"depth_half_way_to_virgin_m\":6.370083761927634e-3,\"depth_half_way_to_virgin_m_hex\":\"3f7a178456e25824\",\"depth_within_2_percent_of_virgin_m\":8.3957585744785e-3,\"depth_within_2_percent_of_virgin_m_hex\":\"3f8131cba4051d02\",\"heat_from_stream_j_per_m2\":4.8001685128811985e7,\"heat_from_stream_j_per_m2_hex\":\"4186e394a907ce94\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":4.155350977127979e7,\"heat_radiated_away_j_per_m2_hex\":\"4183d0732e2b94bd\",\"heat_taken_at_face_by_gases_j_per_m2\":-2.396667820492452e6,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"c14248fde905e58c\",\"heat_in_through_face_j_per_m2\":8.84484317802479e6,\"heat_in_through_face_j_per_m2_hex\":\"4160dec565b2610b\",\"heat_stored_in_solid_j_per_m2\":5.170602630312536e6,\"heat_stored_in_solid_j_per_m2_hex\":\"4153b96aa8570a64\",\"heat_taken_by_gas_j_per_m2\":3.6772996020068633e6,\"heat_taken_by_gas_j_per_m2_hex\":\"414c0e39cd0e8f97\",\"heat_given_off_by_decomposition_j_per_m2\":9.024463532473821e3,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"40c1a03b550837d9\",\"char_enthalpy_removed_j_per_m2\":1.2769304497045367e6,\"char_enthalpy_removed_j_per_m2_hex\":\"41337c02731fd626\",\"solid_mass_lost_kg_per_m2\":9.257054990457139e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3fed9f6123841e50\",\"gas_mass_out_kg_per_m2\":4.9333731568896066e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fdf92d6ad31f3f0\",\"char_mass_removed_kg_per_m2\":4.3236818335672567e-1,\"char_mass_removed_kg_per_m2_hex\":\"3fdbabeb99d646c0\",\"inside_arc_jet_comparison\":1.0e0,\"inside_arc_jet_comparison_hex\":\"3ff0000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":1.620577472578128e3,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"4099524f54f8b596\",\"cells\":6.28e2,\"cells_hex\":\"4083a00000000000\",\"cells_at_end\":5.81e2,\"cells_at_end_hex\":\"4082280000000000\",\"time_steps\":2.745e3,\"time_steps_hex\":\"40a5720000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":-8.782990335021168e-9,\"energy_account_residual_j_per_m2_hex\":\"be42dc8000000000\",\"energy_account_tolerance_j_per_m2\":3.85227711449491e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fa3b941b4700cf5\",\"face_balance_residual_j_per_m2\":4.437613662188455e-9,\"face_balance_residual_j_per_m2_hex\":\"3e330f3533c4632e\",\"face_balance_tolerance_j_per_m2\":1.1802156543125145e-1,\"face_balance_tolerance_j_per_m2_hex\":\"3fbe36a94bbffcaa\",\"mass_account_residual_kg_per_m2\":2.7533531010703882e-14,\"mass_account_residual_kg_per_m2_hex\":\"3d1f000000000000\",\"mass_account_tolerance_kg_per_m2\":4.453029587595511e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e67e8327fd3c9da\"},\"field_sha256\":\"7a5dceacb7fbd5b86b78ad5748026c0652d72c3e444c165623f25bc557d940c8\",\"seal_parts\":{\"inputs\":\"0f33621d3017b5892005b0ec082afa4441d60a246ce7f8c61a2feddf08b4c756\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"f67082e8aaf3e2ea970b8ad04a2042e7c148c4a615113afa39f88a1ab59f6589\",\"invariants\":\"126e4a0f1d96a07d7b879578b201d732087c28e94dae7b4be23a318825c2c2da\",\"field_sha256\":\"16e10528f5b2b372efe057752bc7bad06e2a00bf551cf5c396c9b788c96adbba\",\"outcome\":\"f8eb799beb1835843164159e2c06564f5e11d59602f8979d8facb03e4dc4ff2e\"},\"solution_seal\":\"a8a54be55a7cad7456c4fa09243162964ad4bfe1dfb1fb3749b3537bc4bec48b\",\"receipt_sha256\":\"2641040dd444ebeaa9b82b3d4780170c53ac029537af9125f8a6de609396b1ce\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [84400.00008440002, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, row 0 has wall pressure 84400.00008440002 Pa, outside 2300..=84400 Pa; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "outside_answer_is_error": true}
{"id": "edge-b167dd9256ec", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve_arc_jet_test", "input": "parameters.history_pressure_pa[1]", "input_unit": "Pa", "whole_number_input": false, "base_value": 2300.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 2299.9999977, "inside_value_hex": "40a1f7ffffb2d327", "outside_value": 2299.9999976999998, "outside_value_hex": "40a1f7ffffb2d326", "width": 4.547473508864641e-13, "adjacent_64_bit_numbers": true, "stop_name": "QuestionNotCompared", "stop_sentence": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, row 1 has wall pressure 2299.9999976999998 Pa, outside 2300..=84400 Pa; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2745, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "841110acb431ba9853506129eed5fd7562fe4ab7193c7e5ca2eb5c371ad3382b", "outside_proof": null, "inside_receipt": "945020f0a1aa9eadda7827131721b8a3bb696b59ce98955f417b08a55c3ee9c2", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:41:52Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2299.9999977, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"PICA, open record, version 5\",\"thickness_m\":0.06,\"start_temperature_k\":300.0,\"thermocouple_depths_m\":[],\"face\":\"gas_stream\",\"stream_gas\":\"mixture\",\"stream_oxygen_mass_fraction\":0.16753359999999998,\"stream_argon_mass_fraction\":0.276,\"history_time_s\":[0.0,0.5,55.0],\"history_pressure_pa\":[2300.0,2299.9999977,2300.0],\"history_heat_transfer_coefficient_kg_per_m2_s\":[0.0,0.07040224291374243,0.07040224291374243],\"history_flow_enthalpy_j_per_kg\":[15200000.0,15200000.0,15200000.0],\"history_radiative_heating_w_per_m2\":[0.0,0.0,0.0],\"surroundings_temperature_k\":300.0,\"face_wears\":true,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2745,\"result\":{\"material_compared_with_measurement\":1.0e0,\"material_compared_with_measurement_hex\":\"3ff0000000000000\",\"duration_s\":5.5e1,\"duration_s_hex\":\"404b800000000000\",\"wear_m\":2.004727694518692e-3,\"wear_m_hex\":\"3f606c37fc54bb64\",\"peak_face_temperature_k\":2.0124767125422838e3,\"peak_face_temperature_k_hex\":\"409f71e827552acf\",\"peak_face_temperature_at_s\":5.5e1,\"peak_face_temperature_at_s_hex\":\"404b800000000000\",\"final_face_temperature_k\":2.0124767125422838e3,\"final_face_temperature_k_hex\":\"409f71e827552acf\",\"final_back_temperature_k\":3.000000000003182e2,\"final_back_temperature_k_hex\":\"4072c000000015de\",\"depth_half_way_to_virgin_m\":6.368757059825918e-3,\"depth_half_way_to_virgin_m_hex\":\"3f7a1620349c2538\",\"depth_within_2_percent_of_virgin_m\":8.3938163075296e-3,\"depth_within_2_percent_of_virgin_m_hex\":\"3f8130c6f43c5b59\",\"heat_from_stream_j_per_m2\":4.799307253035581e7,\"heat_from_stream_j_per_m2_hex\":\"4186e287843e2b30\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":4.1543580689539336e7,\"heat_radiated_away_j_per_m2_hex\":\"4183cf3ce5842d33\",\"heat_taken_at_face_by_gases_j_per_m2\":-2.396333643046909e6,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"c1424856d24f5c72\",\"heat_in_through_face_j_per_m2\":8.84582548386342e6,\"heat_in_through_face_j_per_m2_hex\":\"4160df402f7bcf24\",\"heat_stored_in_solid_j_per_m2\":5.170987929999994e6,\"heat_stored_in_solid_j_per_m2_hex\":\"4153b9cafb851eb2\",\"heat_taken_by_gas_j_per_m2\":3.677549689441751e6,\"heat_taken_by_gas_j_per_m2_hex\":\"414c0eb6d83fa097\",\"heat_given_off_by_decomposition_j_per_m2\":8.746041976423086e3,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"40c115055f7bc22e\",\"char_enthalpy_removed_j_per_m2\":1.2775135562080168e6,\"char_enthalpy_removed_j_per_m2_hex\":\"41337e498e63a60a\",\"solid_mass_lost_kg_per_m2\":9.265500707169814e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3feda64c557abfe0\",\"gas_mass_out_kg_per_m2\":4.9332914694161195e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fdf92b46a11c781\",\"char_mass_removed_kg_per_m2\":4.3322092377534116e-1,\"char_mass_removed_kg_per_m2_hex\":\"3fdbb9e440e3b642\",\"inside_arc_jet_comparison\":1.0e0,\"inside_arc_jet_comparison_hex\":\"3ff0000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":1.620577472578128e3,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"4099524f54f8b596\",\"cells\":6.28e2,\"cells_hex\":\"4083a00000000000\",\"cells_at_end\":5.81e2,\"cells_at_end_hex\":\"4082280000000000\",\"time_steps\":2.745e3,\"time_steps_hex\":\"40a5720000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":8.176357368938625e-9,\"energy_account_residual_j_per_m2_hex\":\"3e418f0000000000\",\"energy_account_tolerance_j_per_m2\":3.852968353672073e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fa3ba29a56e4ed4\",\"face_balance_residual_j_per_m2\":6.888616888722775e-9,\"face_balance_residual_j_per_m2_hex\":\"3e3d961d47401a36\",\"face_balance_tolerance_j_per_m2\":1.1801997278832575e-1,\"face_balance_tolerance_j_per_m2_hex\":\"3fbe368e9366923f\",\"mass_account_residual_kg_per_m2\":2.8255175976710234e-14,\"mass_account_residual_kg_per_m2_hex\":\"3d1fd00000000000\",\"mass_account_tolerance_kg_per_m2\":4.452892648897194e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e67e802517c62ed\"},\"field_sha256\":\"e10acd2ef36ae83d7d31d7309962537b229e51897e5f24cd6c818999bc51a111\",\"seal_parts\":{\"inputs\":\"3059168f2b17aa872418e09c5e1e7e5dc95e8afe17d60ea062bf2affe6145def\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"fe44db757a3772b5976caf05708486303c1fa64eccb3f7236ee1cda1b39a0570\",\"invariants\":\"2c47c64ae7f3fd83afd18c0d667180ff2149b5f8f6d54c14965728ed34b187b8\",\"field_sha256\":\"9d579d820e5c1cc91d44725958b2b5dd43eed2dc4a47e2034e30c148412fe3c8\",\"outcome\":\"f8eb799beb1835843164159e2c06564f5e11d59602f8979d8facb03e4dc4ff2e\"},\"solution_seal\":\"841110acb431ba9853506129eed5fd7562fe4ab7193c7e5ca2eb5c371ad3382b\",\"receipt_sha256\":\"945020f0a1aa9eadda7827131721b8a3bb696b59ce98955f417b08a55c3ee9c2\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2299.9999976999998, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, row 1 has wall pressure 2299.9999976999998 Pa, outside 2300..=84400 Pa; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "outside_answer_is_error": true}
{"id": "edge-747f9ed2d4aa", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve_arc_jet_test", "input": "parameters.history_pressure_pa[1]", "input_unit": "Pa", "whole_number_input": false, "base_value": 2300.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 84400.0000844, "inside_value_hex": "40f49b0000587ff4", "outside_value": 84400.00008440002, "outside_value_hex": "40f49b0000587ff5", "width": 1.4551915228366852e-11, "adjacent_64_bit_numbers": true, "stop_name": "QuestionNotCompared", "stop_sentence": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, row 1 has wall pressure 84400.00008440002 Pa, outside 2300..=84400 Pa; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2745, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "a9cf906cad6ddfdccd816ae96856be0878115195e0ac821231348ee4aab8123f", "outside_proof": null, "inside_receipt": "d002f9eba5773ef106b0f39b40efb6f07be83c034d09557ca5b106d5cdeec031", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:41:56Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 84400.0000844, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"PICA, open record, version 5\",\"thickness_m\":0.06,\"start_temperature_k\":300.0,\"thermocouple_depths_m\":[],\"face\":\"gas_stream\",\"stream_gas\":\"mixture\",\"stream_oxygen_mass_fraction\":0.16753359999999998,\"stream_argon_mass_fraction\":0.276,\"history_time_s\":[0.0,0.5,55.0],\"history_pressure_pa\":[2300.0,84400.0000844,2300.0],\"history_heat_transfer_coefficient_kg_per_m2_s\":[0.0,0.07040224291374243,0.07040224291374243],\"history_flow_enthalpy_j_per_kg\":[15200000.0,15200000.0,15200000.0],\"history_radiative_heating_w_per_m2\":[0.0,0.0,0.0],\"surroundings_temperature_k\":300.0,\"face_wears\":true,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2745,\"result\":{\"material_compared_with_measurement\":1.0e0,\"material_compared_with_measurement_hex\":\"3ff0000000000000\",\"duration_s\":5.5e1,\"duration_s_hex\":\"404b800000000000\",\"wear_m\":1.630232239717347e-3,\"wear_m_hex\":\"3f5ab5b089e2d9a7\",\"peak_face_temperature_k\":2.0192487247180848e3,\"peak_face_temperature_k_hex\":\"409f8cfeb1b14786\",\"peak_face_temperature_at_s\":4.8e1,\"peak_face_temperature_at_s_hex\":\"4048000000000000\",\"final_face_temperature_k\":2.0170030181302814e3,\"final_face_temperature_k_hex\":\"409f8403172f4b6a\",\"final_back_temperature_k\":3.0000000000126954e2,\"final_back_temperature_k_hex\":\"4072c0000000573e\",\"depth_half_way_to_virgin_m\":7.046324437596219e-3,\"depth_half_way_to_virgin_m_hex\":\"3f7cdc9b504381f4\",\"depth_within_2_percent_of_virgin_m\":9.309675227307584e-3,\"depth_within_2_percent_of_virgin_m_hex\":\"3f8310f37519f163\",\"heat_from_stream_j_per_m2\":4.920513734476975e7,\"heat_from_stream_j_per_m2_hex\":\"4187767c8ac216a5\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":4.267294742711229e7,\"heat_radiated_away_j_per_m2_hex\":\"418459199b6ab9d9\",\"heat_taken_at_face_by_gases_j_per_m2\":-2.6112913388155345e6,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"c143ec2dab5e4eb4\",\"heat_in_through_face_j_per_m2\":9.143481256472992e6,\"heat_in_through_face_j_per_m2_hex\":\"41617097283506d9\",\"heat_stored_in_solid_j_per_m2\":5.288113167722655e6,\"heat_stored_in_solid_j_per_m2_hex\":\"41542c2c4abbf7ce\",\"heat_taken_by_gas_j_per_m2\":3.878918134369446e6,\"heat_taken_by_gas_j_per_m2_hex\":\"414d98031133049c\",\"heat_given_off_by_decomposition_j_per_m2\":2.7234522883570746e4,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"40da98a176eca6fe\",\"char_enthalpy_removed_j_per_m2\":1.059811529636697e6,\"char_enthalpy_removed_j_per_m2_hex\":\"41302be387964544\",\"solid_mass_lost_kg_per_m2\":8.649146571046806e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3febad6180c30fa0\",\"gas_mass_out_kg_per_m2\":5.130113265997882e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fe06a96bac72844\",\"char_mass_removed_kg_per_m2\":3.519033305048664e-1,\"char_mass_removed_kg_per_m2_hex\":\"3fd685958bf7cce3\",\"inside_arc_jet_comparison\":1.0e0,\"inside_arc_jet_comparison_hex\":\"3ff0000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":1.620577472578128e3,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"4099524f54f8b596\",\"cells\":6.28e2,\"cells_hex\":\"4083a00000000000\",\"cells_at_end\":5.86e2,\"cells_at_end_hex\":\"4082500000000000\",\"time_steps\":2.745e3,\"time_steps_hex\":\"40a5720000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":-7.41692929295823e-9,\"energy_account_residual_j_per_m2_hex\":\"be3fdb0000000000\",\"energy_account_tolerance_j_per_m2\":3.8888268123269946e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fa3e929bf93364f\",\"face_balance_residual_j_per_m2\":-5.320900391069846e-9,\"face_balance_residual_j_per_m2_hex\":\"be36da64504bc43a\",\"face_balance_tolerance_j_per_m2\":1.2061660117919905e-1,\"face_balance_tolerance_j_per_m2_hex\":\"3fbee0bac56b5989\",\"mass_account_residual_kg_per_m2\":2.603472992745992e-14,\"mass_account_residual_kg_per_m2_hex\":\"3d1d500000000000\",\"mass_account_tolerance_kg_per_m2\":4.457727430776024e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e67eea767ec59a4\"},\"field_sha256\":\"b99d83913234765e2e5fed1d903a9b74b01834fb30fcf56a138efe0367a00221\",\"seal_parts\":{\"inputs\":\"40e4ad06fc7ebb2654cb7243b33a69a29451154ba2f21cb4e6d218148f0ebc61\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"b282319ab5f35fb07f9a94c1ab237407bb4996a7aa17ef30ed28931e419ed4e7\",\"invariants\":\"ecb302a8d411797050ecb5972e82ec9096b34f6389abe77f96df003c9f8f34f3\",\"field_sha256\":\"ba8d517f04be8ac7d28f8191f6341d76fbd806a8b6d358efa45667d5e4ad4d22\",\"outcome\":\"f8eb799beb1835843164159e2c06564f5e11d59602f8979d8facb03e4dc4ff2e\"},\"solution_seal\":\"a9cf906cad6ddfdccd816ae96856be0878115195e0ac821231348ee4aab8123f\",\"receipt_sha256\":\"d002f9eba5773ef106b0f39b40efb6f07be83c034d09557ca5b106d5cdeec031\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 84400.00008440002, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, row 1 has wall pressure 84400.00008440002 Pa, outside 2300..=84400 Pa; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "outside_answer_is_error": true}
{"id": "edge-31e3cdaab9a7", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve_arc_jet_test", "input": "parameters.history_flow_enthalpy_j_per_kg[1]", "input_unit": "J/kg", "whole_number_input": false, "base_value": 15200000.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 15199999.98480162, "inside_value_hex": "416cfddfff837eb0", "outside_value": 15199999.984801618, "outside_value_hex": "416cfddfff837eaf", "width": 1.862645149230957e-09, "adjacent_64_bit_numbers": true, "stop_name": "QuestionNotCompared", "stop_sentence": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, the cold-wall heating falls to 1069999.9989299998 W/m2 between 0.5 and 0.5 s, below 1070000 W/m2 after the first 0.5 s; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2745, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "71b740fbb9ec91b7ad3de27595468029e39011dc61fcd35ed1341bf2dc92a11d", "outside_proof": null, "inside_receipt": "8b42e107df36804ec9d3604c8bef5a3303396e3de2c71fc986798c3361da6079", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:42:06Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15199999.98480162, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"PICA, open record, version 5\",\"thickness_m\":0.06,\"start_temperature_k\":300.0,\"thermocouple_depths_m\":[],\"face\":\"gas_stream\",\"stream_gas\":\"mixture\",\"stream_oxygen_mass_fraction\":0.16753359999999998,\"stream_argon_mass_fraction\":0.276,\"history_time_s\":[0.0,0.5,55.0],\"history_pressure_pa\":[2300.0,2300.0,2300.0],\"history_heat_transfer_coefficient_kg_per_m2_s\":[0.0,0.07040224291374243,0.07040224291374243],\"history_flow_enthalpy_j_per_kg\":[15200000.0,15199999.98480162,15200000.0],\"history_radiative_heating_w_per_m2\":[0.0,0.0,0.0],\"surroundings_temperature_k\":300.0,\"face_wears\":true,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2745,\"result\":{\"material_compared_with_measurement\":1.0e0,\"material_compared_with_measurement_hex\":\"3ff0000000000000\",\"duration_s\":5.5e1,\"duration_s_hex\":\"404b800000000000\",\"wear_m\":2.0047276945661064e-3,\"wear_m_hex\":\"3f606c37fc566676\",\"peak_face_temperature_k\":2.012476712529096e3,\"peak_face_temperature_k_hex\":\"409f71e82754483e\",\"peak_face_temperature_at_s\":5.5e1,\"peak_face_temperature_at_s_hex\":\"404b800000000000\",\"final_face_temperature_k\":2.012476712529096e3,\"final_face_temperature_k_hex\":\"409f71e82754483e\",\"final_back_temperature_k\":3.00000000000318e2,\"final_back_temperature_k_hex\":\"4072c000000015da\",\"depth_half_way_to_virgin_m\":6.3687570590038435e-3,\"depth_half_way_to_virgin_m_hex\":\"3f7a1620348daeed\",\"depth_within_2_percent_of_virgin_m\":8.393816306774469e-3,\"depth_within_2_percent_of_virgin_m_hex\":\"3f8130c6f435b6f2\",\"heat_from_stream_j_per_m2\":4.799307250651314e7,\"heat_from_stream_j_per_m2_hex\":\"4186e287840d56c3\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":4.154358066677588e7,\"heat_radiated_away_j_per_m2_hex\":\"4183cf3ce5558e98\",\"heat_taken_at_face_by_gases_j_per_m2\":-2.396333642418929e6,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"c1424856d23ac891\",\"heat_in_through_face_j_per_m2\":8.845825482156172e6,\"heat_in_through_face_j_per_m2_hex\":\"4160df402f6dd2c8\",\"heat_stored_in_solid_j_per_m2\":5.17098792934374e6,\"heat_stored_in_solid_j_per_m2_hex\":\"4153b9cafb7a5e2b\",\"heat_taken_by_gas_j_per_m2\":3.6775496885107765e6,\"heat_taken_by_gas_j_per_m2_hex\":\"414c0eb6d8211f02\",\"heat_given_off_by_decomposition_j_per_m2\":8.746042092910482e3,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"40c11505634cecf5\",\"char_enthalpy_removed_j_per_m2\":1.2775135559748462e6,\"char_enthalpy_removed_j_per_m2_hex\":\"41337e498e545e16\",\"solid_mass_lost_kg_per_m2\":9.265500706846321e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3feda64c55764db0\",\"gas_mass_out_kg_per_m2\":4.933291468979147e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fdf92b46a05c495\",\"char_mass_removed_kg_per_m2\":4.332209237866904e-1,\"char_mass_removed_kg_per_m2_hex\":\"3fdbb9e440e6d4e4\",\"inside_arc_jet_comparison\":1.0e0,\"inside_arc_jet_comparison_hex\":\"3ff0000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":1.620577472578128e3,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"4099524f54f8b596\",\"cells\":6.28e2,\"cells_hex\":\"4083a00000000000\",\"cells_at_end\":5.81e2,\"cells_at_end_hex\":\"4082280000000000\",\"time_steps\":2.745e3,\"time_steps_hex\":\"40a5720000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":-1.0980329534504563e-8,\"energy_account_residual_j_per_m2_hex\":\"be47948000000000\",\"energy_account_tolerance_j_per_m2\":3.8529683534716315e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fa3ba29a569e671\",\"face_balance_residual_j_per_m2\":3.0246247604494467e-10,\"face_balance_residual_j_per_m2_hex\":\"3df4c8f9e4f8068e\",\"face_balance_tolerance_j_per_m2\":1.1801997274196047e-1,\"face_balance_tolerance_j_per_m2_hex\":\"3fbe368e93339794\",\"mass_account_residual_kg_per_m2\":2.7033930649622562e-14,\"mass_account_residual_kg_per_m2_hex\":\"3d1e700000000000\",\"mass_account_tolerance_kg_per_m2\":4.452892648902376e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e67e802517c8184\"},\"field_sha256\":\"38efa25d001dd567e2a2b41e9e66f6684a9c75c29cf22477529d68c6287a405a\",\"seal_parts\":{\"inputs\":\"152a4ee9390fa02d38873786793c3d8936e3a2a243d558dc46637bb9e49b9360\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"8344ffb6d8773ba74d5883ac2699765444fae9f2055c468755b2f59944ec8a12\",\"invariants\":\"bfedd92b8740f76dc35a612dbf1141ec110a2f0e893c8fe7137b55b0aaba7c12\",\"field_sha256\":\"18413e33632b65a2c042683e1b95cdfda5bb612a2437118ca57462889a3f877b\",\"outcome\":\"f8eb799beb1835843164159e2c06564f5e11d59602f8979d8facb03e4dc4ff2e\"},\"solution_seal\":\"71b740fbb9ec91b7ad3de27595468029e39011dc61fcd35ed1341bf2dc92a11d\",\"receipt_sha256\":\"8b42e107df36804ec9d3604c8bef5a3303396e3de2c71fc986798c3361da6079\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15199999.984801618, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, the cold-wall heating falls to 1069999.9989299998 W/m2 between 0.5 and 0.5 s, below 1070000 W/m2 after the first 0.5 s; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "outside_answer_is_error": true}
{"id": "edge-bacd0efc07a1", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve_arc_jet_test", "input": "parameters.history_flow_enthalpy_j_per_kg[1]", "input_unit": "J/kg", "whole_number_input": false, "base_value": 15200000.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 29200000.0292, "inside_value_hex": "417bd8e800779a6b", "outside_value": 29200000.029200003, "outside_value_hex": "417bd8e800779a6c", "width": 3.725290298461914e-09, "adjacent_64_bit_numbers": true, "stop_name": "QuestionNotCompared", "stop_sentence": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, row 1 has flow enthalpy 29200000.029200003 J/kg, outside 7300000..=29200000 J/kg; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2745, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "d03d303d0822ccd9e7d49904fd63d458e1af929e0c3b7bd272b09a461e1afabb", "outside_proof": null, "inside_receipt": "64255f62685c278a59793dcf8b94ab4f177d0bbdb8d4b0d42228e391c45c6f6c", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:42:11Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 29200000.0292, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"PICA, open record, version 5\",\"thickness_m\":0.06,\"start_temperature_k\":300.0,\"thermocouple_depths_m\":[],\"face\":\"gas_stream\",\"stream_gas\":\"mixture\",\"stream_oxygen_mass_fraction\":0.16753359999999998,\"stream_argon_mass_fraction\":0.276,\"history_time_s\":[0.0,0.5,55.0],\"history_pressure_pa\":[2300.0,2300.0,2300.0],\"history_heat_transfer_coefficient_kg_per_m2_s\":[0.0,0.07040224291374243,0.07040224291374243],\"history_flow_enthalpy_j_per_kg\":[15200000.0,29200000.0292,15200000.0],\"history_radiative_heating_w_per_m2\":[0.0,0.0,0.0],\"surroundings_temperature_k\":300.0,\"face_wears\":true,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2745,\"result\":{\"material_compared_with_measurement\":1.0e0,\"material_compared_with_measurement_hex\":\"3ff0000000000000\",\"duration_s\":5.5e1,\"duration_s_hex\":\"404b800000000000\",\"wear_m\":1.9940193551709023e-3,\"wear_m_hex\":\"3f6055c2fd60aa77\",\"peak_face_temperature_k\":2.2607942954227287e3,\"peak_face_temperature_k_hex\":\"40a1a996ade3bff7\",\"peak_face_temperature_at_s\":1.1e1,\"peak_face_temperature_at_s_hex\":\"4026000000000000\",\"final_face_temperature_k\":2.0235377736853814e3,\"final_face_temperature_k_hex\":\"409f9e26ae251d73\",\"final_back_temperature_k\":3.0000000000040836e2,\"final_back_temperature_k_hex\":\"4072c00000001c10\",\"depth_half_way_to_virgin_m\":7.093085303472857e-3,\"depth_half_way_to_virgin_m_hex\":\"3f7d0da3967f9b80\",\"depth_within_2_percent_of_virgin_m\":9.126251740865806e-3,\"depth_within_2_percent_of_virgin_m_hex\":\"3f82b0c8c618be4b\",\"heat_from_stream_j_per_m2\":6.985892145726053e7,\"heat_from_stream_j_per_m2_hex\":\"4190a7d9a5d43c1b\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":6.240706539817493e7,\"heat_radiated_away_j_per_m2_hex\":\"418dc20ccb2f7656\",\"heat_taken_at_face_by_gases_j_per_m2\":-2.842306508475442e6,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"c145af614115b929\",\"heat_in_through_face_j_per_m2\":1.0294162567561021e7,\"heat_in_through_face_j_per_m2_hex\":\"4163a272522975bb\",\"heat_stored_in_solid_j_per_m2\":5.76675635029701e6,\"heat_stored_in_solid_j_per_m2_hex\":\"4155ff99166b4426\",\"heat_taken_by_gas_j_per_m2\":4.448727090611916e6,\"heat_taken_by_gas_j_per_m2_hex\":\"4150f875c5cc95ec\",\"heat_given_off_by_decomposition_j_per_m2\":-7.299655336720501e4,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"c0f1d248da979203\",\"char_enthalpy_removed_j_per_m2\":1.4681983173215955e6,\"char_enthalpy_removed_j_per_m2_hex\":\"41366726513bfcf3\",\"solid_mass_lost_kg_per_m2\":9.657205409440408e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3feee72ec38dc340\",\"gas_mass_out_kg_per_m2\":5.353538484910694e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fe1219e64e1d1fa\",\"char_mass_removed_kg_per_m2\":4.3036669245294423e-1,\"char_mass_removed_kg_per_m2_hex\":\"3fdb8b20bd57e0a2\",\"inside_arc_jet_comparison\":1.0e0,\"inside_arc_jet_comparison_hex\":\"3ff0000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":1.620577472578128e3,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"4099524f54f8b596\",\"cells\":6.28e2,\"cells_hex\":\"4083a00000000000\",\"cells_at_end\":5.81e2,\"cells_at_end_hex\":\"4082280000000000\",\"time_steps\":2.745e3,\"time_steps_hex\":\"40a5720000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":1.8171704141423106e-8,\"energy_account_residual_j_per_m2_hex\":\"3e53830000000000\",\"energy_account_tolerance_j_per_m2\":4.0485603917166685e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fa4ba877190eaac\",\"face_balance_residual_j_per_m2\":-8.743521208211485e-9,\"face_balance_residual_j_per_m2_hex\":\"be42c6cd36d776e9\",\"face_balance_tolerance_j_per_m2\":1.6098549487884017e-1,\"face_balance_tolerance_j_per_m2_hex\":\"3fc49b2c35d1477c\",\"mass_account_residual_kg_per_m2\":2.7200464103316335e-14,\"mass_account_residual_kg_per_m2_hex\":\"3d1ea00000000000\",\"mass_account_tolerance_kg_per_m2\":4.448069742355809e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e67e16168af0f9d\"},\"field_sha256\":\"4883cb6ae702546cc105376178ec811ac4a0255fb653f402456d5979dd8fab21\",\"seal_parts\":{\"inputs\":\"9637edaac14917617175c2358f3fc481fc675f9a63122cb66fab43770ee3a785\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"30a98ba30fee3c50f8084b50fe50287b800efd42cc5aa1f6c469cab4ce5115b8\",\"invariants\":\"54fc9ce7ec03db28f637e7b72f041ee596b11aee9dddbb57caea6007e1c19280\",\"field_sha256\":\"df67a20df2cca7561ffd18b4f83e31b8c4fcc90ac04c54d4da75c8aabf83035f\",\"outcome\":\"f8eb799beb1835843164159e2c06564f5e11d59602f8979d8facb03e4dc4ff2e\"},\"solution_seal\":\"d03d303d0822ccd9e7d49904fd63d458e1af929e0c3b7bd272b09a461e1afabb\",\"receipt_sha256\":\"64255f62685c278a59793dcf8b94ab4f177d0bbdb8d4b0d42228e391c45c6f6c\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 29200000.029200003, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, row 1 has flow enthalpy 29200000.029200003 J/kg, outside 7300000..=29200000 J/kg; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "outside_answer_is_error": true}
{"id": "edge-14ec0abcc3ae", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve_arc_jet_test", "input": "parameters.history_heat_transfer_coefficient_kg_per_m2_s[2]", "input_unit": "kg/m²/s", "whole_number_input": false, "base_value": 0.07040224291374243, "edge_kind": "declared_limit", "direction": "down", "inside_value": 0.0704022428433402, "inside_value_hex": "3fb205e1a293c321", "outside_value": 0.07040224284334018, "outside_value_hex": "3fb205e1a293c320", "width": 1.3877787807814457e-17, "adjacent_64_bit_numbers": true, "stop_name": "QuestionNotCompared", "stop_sentence": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, the cold-wall heating falls to 1069999.9989299998 W/m2 between 0.5 and 55 s, below 1070000 W/m2 after the first 0.5 s; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2745, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "4361530c961b6c1b3f33190e08457c94ca2da0354b6d31735cc518b5d48977c7", "outside_proof": null, "inside_receipt": "701bf3e15320948b75bdae5c16e3fba6ecbc19af61a95ee33e28d63126797d3e", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:42:16Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.0704022428433402], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"PICA, open record, version 5\",\"thickness_m\":0.06,\"start_temperature_k\":300.0,\"thermocouple_depths_m\":[],\"face\":\"gas_stream\",\"stream_gas\":\"mixture\",\"stream_oxygen_mass_fraction\":0.16753359999999998,\"stream_argon_mass_fraction\":0.276,\"history_time_s\":[0.0,0.5,55.0],\"history_pressure_pa\":[2300.0,2300.0,2300.0],\"history_heat_transfer_coefficient_kg_per_m2_s\":[0.0,0.07040224291374243,0.0704022428433402],\"history_flow_enthalpy_j_per_kg\":[15200000.0,15200000.0,15200000.0],\"history_radiative_heating_w_per_m2\":[0.0,0.0,0.0],\"surroundings_temperature_k\":300.0,\"face_wears\":true,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2745,\"result\":{\"material_compared_with_measurement\":1.0e0,\"material_compared_with_measurement_hex\":\"3ff0000000000000\",\"duration_s\":5.5e1,\"duration_s_hex\":\"404b800000000000\",\"wear_m\":2.0047276935528545e-3,\"wear_m_hex\":\"3f606c37fc32bfe6\",\"peak_face_temperature_k\":2.0124767120306765e3,\"peak_face_temperature_k_hex\":\"409f71e82732d576\",\"peak_face_temperature_at_s\":5.5e1,\"peak_face_temperature_at_s_hex\":\"404b800000000000\",\"final_face_temperature_k\":2.0124767120306765e3,\"final_face_temperature_k_hex\":\"409f71e82732d576\",\"final_back_temperature_k\":3.0000000000031804e2,\"final_back_temperature_k_hex\":\"4072c000000015db\",\"depth_half_way_to_virgin_m\":6.36875705977783e-3,\"depth_half_way_to_virgin_m_hex\":\"3f7a1620349b4ca7\",\"depth_within_2_percent_of_virgin_m\":8.3938163079573e-3,\"depth_within_2_percent_of_virgin_m_hex\":\"3f8130c6f4401e72\",\"heat_from_stream_j_per_m2\":4.799307250606992e7,\"heat_from_stream_j_per_m2_hex\":\"4186e287840c6e63\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":4.154358066664419e7,\"heat_radiated_away_j_per_m2_hex\":\"4183cf3ce555498d\",\"heat_taken_at_face_by_gases_j_per_m2\":-2.39633364202393e6,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"c1424856d22dd713\",\"heat_in_through_face_j_per_m2\":8.845825481449638e6,\"heat_in_through_face_j_per_m2_hex\":\"4160df402f680912\",\"heat_stored_in_solid_j_per_m2\":5.170987928398125e6,\"heat_stored_in_solid_j_per_m2_hex\":\"4153b9cafb6adff8\",\"heat_taken_by_gas_j_per_m2\":3.6775496886749743e6,\"heat_taken_by_gas_j_per_m2_hex\":\"414c0eb6d8268066\",\"heat_given_off_by_decomposition_j_per_m2\":8.746042048747455e3,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"40c1150561da7594\",\"char_enthalpy_removed_j_per_m2\":1.2775135553283906e6,\"char_enthalpy_removed_j_per_m2_hex\":\"41337e498e2a005c\",\"solid_mass_lost_kg_per_m2\":9.265500704538496e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3feda64c555695c0\",\"gas_mass_out_kg_per_m2\":4.9332914688663815e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fdf92b46a02ab11\",\"char_mass_removed_kg_per_m2\":4.3322092356718417e-1,\"char_mass_removed_kg_per_m2_hex\":\"3fdbb9e440aa7e83\",\"inside_arc_jet_comparison\":1.0e0,\"inside_arc_jet_comparison_hex\":\"3ff0000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":1.620577472578128e3,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"4099524f54f8b596\",\"cells\":6.28e2,\"cells_hex\":\"4083a00000000000\",\"cells_at_end\":5.81e2,\"cells_at_end_hex\":\"4082280000000000\",\"time_steps\":2.745e3,\"time_steps_hex\":\"40a5720000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":-1.1748852557502687e-8,\"energy_account_residual_j_per_m2_hex\":\"be493b0000000000\",\"energy_account_tolerance_j_per_m2\":3.8529683534931934e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fa3ba29a56a5fd3\",\"face_balance_residual_j_per_m2\":-1.789247626005011e-9,\"face_balance_residual_j_per_m2_hex\":\"be1ebd31bc45a096\",\"face_balance_tolerance_j_per_m2\":1.1801997273775482e-1,\"face_balance_tolerance_j_per_m2_hex\":\"3fbe368e932ef7cb\",\"mass_account_residual_kg_per_m2\":2.731148640577885e-14,\"mass_account_residual_kg_per_m2_hex\":\"3d1ec00000000000\",\"mass_account_tolerance_kg_per_m2\":4.452892648906344e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e67e802517c98f0\"},\"field_sha256\":\"21ba3336324c65c4031f60ea0657ac3c260b2c4d0ec7fe314805e1f071d3dd1f\",\"seal_parts\":{\"inputs\":\"7b55f529a0911bbbdd1718be213a2b6a4fd7c2a77d3a2398ebbd80b099b2eccb\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"a26bc1f47c949f15f712ec0ca5e59592260798ae71455e24e143111ecea02478\",\"invariants\":\"3689aa93c6b30dd67d94e8f8dc9a3179679f2ed74a6c7170ea469787a63f33f7\",\"field_sha256\":\"aadde05826ccf68615b453fdb562b80b96ccf89dc1b5475f4e85a59caad27774\",\"outcome\":\"f8eb799beb1835843164159e2c06564f5e11d59602f8979d8facb03e4dc4ff2e\"},\"solution_seal\":\"4361530c961b6c1b3f33190e08457c94ca2da0354b6d31735cc518b5d48977c7\",\"receipt_sha256\":\"701bf3e15320948b75bdae5c16e3fba6ecbc19af61a95ee33e28d63126797d3e\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224284334018], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, the cold-wall heating falls to 1069999.9989299998 W/m2 between 0.5 and 55 s, below 1070000 W/m2 after the first 0.5 s; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "outside_answer_is_error": true}
{"id": "edge-66a875709a41", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve_arc_jet_test", "input": "parameters.history_heat_transfer_coefficient_kg_per_m2_s[2]", "input_unit": "kg/m²/s", "whole_number_input": false, "base_value": 0.07040224291374243, "edge_kind": "declared_limit", "direction": "up", "inside_value": 0.7250773062479199, "inside_value_hex": "3fe733d552ad02ce", "outside_value": 0.72507730624792, "outside_value_hex": "3fe733d552ad02cf", "width": 1.1102230246251565e-16, "adjacent_64_bit_numbers": true, "stop_name": "QuestionNotCompared", "stop_sentence": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, the cold-wall heating reaches 11020000.011020001 W/m2 between 0.5 and 55 s, above 11020000 W/m2; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2351, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "a1ec171b351c3875f9ebd728f43a54db76cfb5bb499f6ba5ff40b83026bef427", "outside_proof": null, "inside_receipt": "74b3204c6c0ac250700c9559192d405e9e2b471f9a26b0a3df36691fa1bef964", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:42:21Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.7250773062479199], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"PICA, open record, version 5\",\"thickness_m\":0.06,\"start_temperature_k\":300.0,\"thermocouple_depths_m\":[],\"face\":\"gas_stream\",\"stream_gas\":\"mixture\",\"stream_oxygen_mass_fraction\":0.16753359999999998,\"stream_argon_mass_fraction\":0.276,\"history_time_s\":[0.0,0.5,55.0],\"history_pressure_pa\":[2300.0,2300.0,2300.0],\"history_heat_transfer_coefficient_kg_per_m2_s\":[0.0,0.07040224291374243,0.7250773062479199],\"history_flow_enthalpy_j_per_kg\":[15200000.0,15200000.0,15200000.0],\"history_radiative_heating_w_per_m2\":[0.0,0.0,0.0],\"surroundings_temperature_k\":300.0,\"face_wears\":true,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2351,\"result\":{\"material_compared_with_measurement\":1.0e0,\"material_compared_with_measurement_hex\":\"3ff0000000000000\",\"duration_s\":5.5e1,\"duration_s_hex\":\"404b800000000000\",\"wear_m\":1.3874723695620808e-2,\"wear_m_hex\":\"3f8c6a59e41c1d3b\",\"peak_face_temperature_k\":3.1325553453695734e3,\"peak_face_temperature_k_hex\":\"40a8791c563a709b\",\"peak_face_temperature_at_s\":5.5e1,\"peak_face_temperature_at_s_hex\":\"404b800000000000\",\"final_face_temperature_k\":3.1325553453695734e3,\"final_face_temperature_k_hex\":\"40a8791c563a709b\",\"final_back_temperature_k\":3.00000000000351e2,\"final_back_temperature_k_hex\":\"4072c0000000181f\",\"depth_half_way_to_virgin_m\":2.1670313729732407e-3,\"depth_half_way_to_virgin_m_hex\":\"3f61c0981c0adcec\",\"depth_within_2_percent_of_virgin_m\":2.5740199329609536e-3,\"depth_within_2_percent_of_virgin_m_hex\":\"3f65161c6dcd5e5c\",\"heat_from_stream_j_per_m2\":2.144037015900107e8,\"heat_from_stream_j_per_m2_hex\":\"41a98f14eb2e15e2\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":1.9126858580394772e8,\"heat_radiated_away_j_per_m2_hex\":\"41a6cd0dd39b9f09\",\"heat_taken_at_face_by_gases_j_per_m2\":-7.883049607253623e6,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"c15e124a66dd3e4d\",\"heat_in_through_face_j_per_m2\":3.101816539331627e7,\"heat_in_through_face_j_per_m2_hex\":\"417d94cb564b0600\",\"heat_stored_in_solid_j_per_m2\":1.8820781565254614e7,\"heat_stored_in_solid_j_per_m2_hex\":\"4171f2ead90b486c\",\"heat_taken_by_gas_j_per_m2\":1.13863170542839e7,\"heat_taken_by_gas_j_per_m2_hex\":\"4165b7b9a1bcb197\",\"heat_given_off_by_decomposition_j_per_m2\":-6.496587234670373e5,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"c123d375726a4582\",\"char_enthalpy_removed_j_per_m2\":1.588879325988248e7,\"char_enthalpy_removed_j_per_m2_hex\":\"416e4e332850f510\",\"solid_mass_lost_kg_per_m2\":3.925794921124984e0,\"solid_mass_lost_kg_per_m2_hex\":\"400f68072ae84714\",\"gas_mass_out_kg_per_m2\":9.319478006610867e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fedd28431ad644f\",\"char_mass_removed_kg_per_m2\":2.993847120463777e0,\"char_mass_removed_kg_per_m2_hex\":\"4007f3661e7cecf1\",\"inside_arc_jet_comparison\":1.0e0,\"inside_arc_jet_comparison_hex\":\"3ff0000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":1.620577472578128e3,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"4099524f54f8b596\",\"cells\":6.28e2,\"cells_hex\":\"4083a00000000000\",\"cells_at_end\":4.62e2,\"cells_at_end_hex\":\"407ce00000000000\",\"time_steps\":2.351e3,\"time_steps_hex\":\"40a25e0000000000\",\"hardest_step_newton_passes\":5.0e0,\"hardest_step_newton_passes_hex\":\"4014000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":-2.1245796233415604e-9,\"energy_account_residual_j_per_m2_hex\":\"be22400000000000\",\"energy_account_tolerance_j_per_m2\":7.549969304272869e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fb353f2a879ffbc\",\"face_balance_residual_j_per_m2\":3.1056018863741184e-8,\"face_balance_residual_j_per_m2_hex\":\"3e60ac4e85f6f75a\",\"face_balance_tolerance_j_per_m2\":4.561158231529896e-1,\"face_balance_tolerance_j_per_m2_hex\":\"3fdd31006be8555c\",\"mass_account_residual_kg_per_m2\":1.2034817586936697e-13,\"mass_account_residual_kg_per_m2_hex\":\"3d40f00000000000\",\"mass_account_tolerance_kg_per_m2\":3.690177112333131e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e63cfbda55c5657\"},\"field_sha256\":\"bf28cd3dd5a608be70d121352f1d804bc0e6f2e28eae8eb04e9f7473a882262a\",\"seal_parts\":{\"inputs\":\"ca9345baff546b9c56fadc57069f1841a4563825ec424936da2d80ce294371ff\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"27fd8cbac66193a8654be6b9ac692d5f6f1d1c054d9d53ff3192853375a9ac9e\",\"invariants\":\"4e5c5e6ab187d47e2626a1f4052fc28ecca2a0fdf3fa9072651041358d5bf5bd\",\"field_sha256\":\"aebe0e3e52efa126043c0ff5f5b952c2dfb62b78d3df8e8a266d6eb490918d13\",\"outcome\":\"6c80fcc4a339edad17235264bd0161b5d888b107bbed341f8f646061e3e4ea8f\"},\"solution_seal\":\"a1ec171b351c3875f9ebd728f43a54db76cfb5bb499f6ba5ff40b83026bef427\",\"receipt_sha256\":\"74b3204c6c0ac250700c9559192d405e9e2b471f9a26b0a3df36691fa1bef964\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.72507730624792], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, the cold-wall heating reaches 11020000.011020001 W/m2 between 0.5 and 55 s, above 11020000 W/m2; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "outside_answer_is_error": true}
{"id": "edge-485ae027b9d4", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve_arc_jet_test", "input": "parameters.history_pressure_pa[2]", "input_unit": "Pa", "whole_number_input": false, "base_value": 2300.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 2299.9999977, "inside_value_hex": "40a1f7ffffb2d327", "outside_value": 2299.9999976999998, "outside_value_hex": "40a1f7ffffb2d326", "width": 4.547473508864641e-13, "adjacent_64_bit_numbers": true, "stop_name": "QuestionNotCompared", "stop_sentence": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, row 2 has wall pressure 2299.9999976999998 Pa, outside 2300..=84400 Pa; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2745, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "6ffaa025f6e91b8ece2eb1320199dfb1d0525ac727af72fb93f1a08ea15712a8", "outside_proof": null, "inside_receipt": "3b530980e3aed12ad20bbae7b24588ed1db973c203af92043bcccb4e63677a85", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:42:25Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2299.9999977], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"PICA, open record, version 5\",\"thickness_m\":0.06,\"start_temperature_k\":300.0,\"thermocouple_depths_m\":[],\"face\":\"gas_stream\",\"stream_gas\":\"mixture\",\"stream_oxygen_mass_fraction\":0.16753359999999998,\"stream_argon_mass_fraction\":0.276,\"history_time_s\":[0.0,0.5,55.0],\"history_pressure_pa\":[2300.0,2300.0,2299.9999977],\"history_heat_transfer_coefficient_kg_per_m2_s\":[0.0,0.07040224291374243,0.07040224291374243],\"history_flow_enthalpy_j_per_kg\":[15200000.0,15200000.0,15200000.0],\"history_radiative_heating_w_per_m2\":[0.0,0.0,0.0],\"surroundings_temperature_k\":300.0,\"face_wears\":true,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2745,\"result\":{\"material_compared_with_measurement\":1.0e0,\"material_compared_with_measurement_hex\":\"3ff0000000000000\",\"duration_s\":5.5e1,\"duration_s_hex\":\"404b800000000000\",\"wear_m\":2.004727694515997e-3,\"wear_m_hex\":\"3f606c37fc54a31e\",\"peak_face_temperature_k\":2.0124767125461258e3,\"peak_face_temperature_k_hex\":\"409f71e827556cd0\",\"peak_face_temperature_at_s\":5.5e1,\"peak_face_temperature_at_s_hex\":\"404b800000000000\",\"final_face_temperature_k\":2.0124767125461258e3,\"final_face_temperature_k_hex\":\"409f71e827556cd0\",\"final_back_temperature_k\":3.0000000000031804e2,\"final_back_temperature_k_hex\":\"4072c000000015db\",\"depth_half_way_to_virgin_m\":6.368757059845443e-3,\"depth_half_way_to_virgin_m_hex\":\"3f7a1620349c7d27\",\"depth_within_2_percent_of_virgin_m\":8.393816307523592e-3,\"depth_within_2_percent_of_virgin_m_hex\":\"3f8130c6f43c4dd2\",\"heat_from_stream_j_per_m2\":4.7993072530361235e7,\"heat_from_stream_j_per_m2_hex\":\"4186e287843e2e08\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":4.154358068954654e7,\"heat_radiated_away_j_per_m2_hex\":\"4183cf3ce58430fa\",\"heat_taken_at_face_by_gases_j_per_m2\":-2.396333643034596e6,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"c1424856d24ef528\",\"heat_in_through_face_j_per_m2\":8.845825483849196e6,\"heat_in_through_face_j_per_m2_hex\":\"4160df402f7bb14f\",\"heat_stored_in_solid_j_per_m2\":5.170987929997074e6,\"heat_stored_in_solid_j_per_m2_hex\":\"4153b9cafb851273\",\"heat_taken_by_gas_j_per_m2\":3.6775496894331644e6,\"heat_taken_by_gas_j_per_m2_hex\":\"414c0eb6d83f588f\",\"heat_given_off_by_decomposition_j_per_m2\":8.746041977779501e3,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"40c115055f87230f\",\"char_enthalpy_removed_j_per_m2\":1.277513556205137e6,\"char_enthalpy_removed_j_per_m2_hex\":\"41337e498e6375b9\",\"solid_mass_lost_kg_per_m2\":9.26550070717207e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3feda64c557ac7d0\",\"gas_mass_out_kg_per_m2\":4.933291469423825e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fdf92b46a11fdba\",\"char_mass_removed_kg_per_m2\":4.3322092377479804e-1,\"char_mass_removed_kg_per_m2_hex\":\"3fdbb9e440e3900a\",\"inside_arc_jet_comparison\":1.0e0,\"inside_arc_jet_comparison_hex\":\"3ff0000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":1.620577472578128e3,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"4099524f54f8b596\",\"cells\":6.28e2,\"cells_hex\":\"4083a00000000000\",\"cells_at_end\":5.81e2,\"cells_at_end_hex\":\"4082280000000000\",\"time_steps\":2.745e3,\"time_steps_hex\":\"40a5720000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":1.4371835277415812e-8,\"energy_account_residual_j_per_m2_hex\":\"3e4edd0000000000\",\"energy_account_tolerance_j_per_m2\":3.852968353678897e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fa3ba29a56e753e\",\"face_balance_residual_j_per_m2\":-3.9199650057218136e-9,\"face_balance_residual_j_per_m2_hex\":\"be30d60c0f06729c\",\"face_balance_tolerance_j_per_m2\":1.1801997278831802e-1,\"face_balance_tolerance_j_per_m2_hex\":\"3fbe368e93669012\",\"mass_account_residual_kg_per_m2\":2.6423307986078726e-14,\"mass_account_residual_kg_per_m2_hex\":\"3d1dc00000000000\",\"mass_account_tolerance_kg_per_m2\":4.45289264889635e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e67e802517c5df1\"},\"field_sha256\":\"fc5d1a3b8f707b70d3d5aee133699558a5a6118434f859c12c5bbcb83c13e389\",\"seal_parts\":{\"inputs\":\"8eb483183b52d93f01476297d63da1a9e7405cf94c899ce19a65760cf948bfc5\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"0c32cb1fcf1e83049a2b75cb884e4296664d3bf4ce00572267b637931444169f\",\"invariants\":\"644ee3a8e9cc8cd1b07fb36c75dd13b01f885ed2405df65b5ac952870549336b\",\"field_sha256\":\"07bdcc557e871498984d83e3c7fa877a3c752d6a39cab36a0c878e3930f694fb\",\"outcome\":\"f8eb799beb1835843164159e2c06564f5e11d59602f8979d8facb03e4dc4ff2e\"},\"solution_seal\":\"6ffaa025f6e91b8ece2eb1320199dfb1d0525ac727af72fb93f1a08ea15712a8\",\"receipt_sha256\":\"3b530980e3aed12ad20bbae7b24588ed1db973c203af92043bcccb4e63677a85\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2299.9999976999998], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, row 2 has wall pressure 2299.9999976999998 Pa, outside 2300..=84400 Pa; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "outside_answer_is_error": true}
{"id": "edge-77fadd8ff7b1", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve_arc_jet_test", "input": "parameters.history_pressure_pa[2]", "input_unit": "Pa", "whole_number_input": false, "base_value": 2300.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 84400.0000844, "inside_value_hex": "40f49b0000587ff4", "outside_value": 84400.00008440002, "outside_value_hex": "40f49b0000587ff5", "width": 1.4551915228366852e-11, "adjacent_64_bit_numbers": true, "stop_name": "QuestionNotCompared", "stop_sentence": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, row 2 has wall pressure 84400.00008440002 Pa, outside 2300..=84400 Pa; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2745, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "4605e3480e713ee4bde489f527ff182bffa4cab90401f2c67a45c82299d098f0", "outside_proof": null, "inside_receipt": "4b28eabe173031e6b6a17021ac9879ccc45af9300dd287c5aff890212bdf81af", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:42:30Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 84400.0000844], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"PICA, open record, version 5\",\"thickness_m\":0.06,\"start_temperature_k\":300.0,\"thermocouple_depths_m\":[],\"face\":\"gas_stream\",\"stream_gas\":\"mixture\",\"stream_oxygen_mass_fraction\":0.16753359999999998,\"stream_argon_mass_fraction\":0.276,\"history_time_s\":[0.0,0.5,55.0],\"history_pressure_pa\":[2300.0,2300.0,84400.0000844],\"history_heat_transfer_coefficient_kg_per_m2_s\":[0.0,0.07040224291374243,0.07040224291374243],\"history_flow_enthalpy_j_per_kg\":[15200000.0,15200000.0,15200000.0],\"history_radiative_heating_w_per_m2\":[0.0,0.0,0.0],\"surroundings_temperature_k\":300.0,\"face_wears\":true,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2745,\"result\":{\"material_compared_with_measurement\":1.0e0,\"material_compared_with_measurement_hex\":\"3ff0000000000000\",\"duration_s\":5.5e1,\"duration_s_hex\":\"404b800000000000\",\"wear_m\":1.7033252101711321e-3,\"wear_m_hex\":\"3f5be843849de5ee\",\"peak_face_temperature_k\":2.0208696448380756e3,\"peak_face_temperature_k_hex\":\"409f937a842d2aae\",\"peak_face_temperature_at_s\":5.5e1,\"peak_face_temperature_at_s_hex\":\"404b800000000000\",\"final_face_temperature_k\":2.0208696448380756e3,\"final_face_temperature_k_hex\":\"409f937a842d2aae\",\"final_back_temperature_k\":3.000000000011532e2,\"final_back_temperature_k_hex\":\"4072c00000004f3f\",\"depth_half_way_to_virgin_m\":7.043275307865124e-3,\"depth_half_way_to_virgin_m_hex\":\"3f7cd968d1aa0130\",\"depth_within_2_percent_of_virgin_m\":9.290329180763158e-3,\"depth_within_2_percent_of_virgin_m_hex\":\"3f8306cee000ed1a\",\"heat_from_stream_j_per_m2\":4.899007393322308e7,\"heat_from_stream_j_per_m2_hex\":\"41875c3bcf773daa\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":4.233991557028526e7,\"heat_radiated_away_j_per_m2_hex\":\"418430725c8ff1b8\",\"heat_taken_at_face_by_gases_j_per_m2\":-2.564887467312162e6,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"c143918bbbd0e28a\",\"heat_in_through_face_j_per_m2\":9.21504583024992e6,\"heat_in_through_face_j_per_m2_hex\":\"41619388ba916848\",\"heat_stored_in_solid_j_per_m2\":5.348555007146404e6,\"heat_stored_in_solid_j_per_m2_hex\":\"41546732c0751631\",\"heat_taken_by_gas_j_per_m2\":3.8862528748603202e6,\"heat_taken_by_gas_j_per_m2_hex\":\"414da6566ffb6c48\",\"heat_given_off_by_decomposition_j_per_m2\":2.419659077214519e4,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"40d7a125cf35f8bf\",\"char_enthalpy_removed_j_per_m2\":1.0910211162591195e6,\"char_enthalpy_removed_j_per_m2_hex\":\"4130a5cd1dc3285c\",\"solid_mass_lost_kg_per_m2\":8.845417294585438e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3fec4e2a74ff1860\",\"gas_mass_out_kg_per_m2\":5.164151794520565e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fe08679205cf21b\",\"char_mass_removed_kg_per_m2\":3.681265500064598e-1,\"char_mass_removed_kg_per_m2_hex\":\"3fd78f62a9444a9a\",\"inside_arc_jet_comparison\":1.0e0,\"inside_arc_jet_comparison_hex\":\"3ff0000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":1.620577472578128e3,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"4099524f54f8b596\",\"cells\":6.28e2,\"cells_hex\":\"4083a00000000000\",\"cells_at_end\":5.85e2,\"cells_at_end_hex\":\"4082480000000000\",\"time_steps\":2.745e3,\"time_steps_hex\":\"40a5720000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":1.0471012501511723e-8,\"energy_account_residual_j_per_m2_hex\":\"3e467c8000000000\",\"energy_account_tolerance_j_per_m2\":3.903345337882691e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fa3fc315b6c8b90\",\"face_balance_residual_j_per_m2\":-6.899699414384656e-9,\"face_balance_residual_j_per_m2_hex\":\"be3da24cbb62ad6b\",\"face_balance_tolerance_j_per_m2\":1.2035557681134529e-1,\"face_balance_tolerance_j_per_m2_hex\":\"3fbecf9f824bc2fc\",\"mass_account_residual_kg_per_m2\":2.7533531010703882e-14,\"mass_account_residual_kg_per_m2_hex\":\"3d1f000000000000\",\"mass_account_tolerance_kg_per_m2\":4.455167719683922e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e67eb22c9a513ad\"},\"field_sha256\":\"87e88ee44ed459993102bbff529f7955324911ce099aac4495ada28e2b2aecf9\",\"seal_parts\":{\"inputs\":\"9a87fc5a55c4bd307705ca599560d725ace5adfd0d99133abef3d90378c3c9bf\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"bf0d637637e73068af229ee5c72215d94637e88dbe3590ffaedd1a7656f1e565\",\"invariants\":\"348dab2dada943af61b8f5951540331383a81767bdd9a01de27601da17d783ff\",\"field_sha256\":\"09582895fda270e7dfa5d609634efdd73ca875635e43e7b49f92823ea2077448\",\"outcome\":\"f8eb799beb1835843164159e2c06564f5e11d59602f8979d8facb03e4dc4ff2e\"},\"solution_seal\":\"4605e3480e713ee4bde489f527ff182bffa4cab90401f2c67a45c82299d098f0\",\"receipt_sha256\":\"4b28eabe173031e6b6a17021ac9879ccc45af9300dd287c5aff890212bdf81af\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 84400.00008440002], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, row 2 has wall pressure 84400.00008440002 Pa, outside 2300..=84400 Pa; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "outside_answer_is_error": true}
{"id": "edge-56f64425eddb", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve_arc_jet_test", "input": "parameters.history_flow_enthalpy_j_per_kg[0]", "input_unit": "J/kg", "whole_number_input": false, "base_value": 15200000.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 7299999.9927, "inside_value_hex": "415bd8e7ff886595", "outside_value": 7299999.992699999, "outside_value_hex": "415bd8e7ff886594", "width": 9.313225746154785e-10, "adjacent_64_bit_numbers": true, "stop_name": "QuestionNotCompared", "stop_sentence": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, row 0 has flow enthalpy 7299999.992699999 J/kg, outside 7300000..=29200000 J/kg; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2745, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "a8ac1482614b7d2c29588c9b85c20925491e4d688a5e1f65234f4463f9cf1351", "outside_proof": null, "inside_receipt": "bcece0ef6a1c9b8e3f3058291cdb546729d59ccc45048dad609ff0e3fcb6999e", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:42:42Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [7299999.9927, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"PICA, open record, version 5\",\"thickness_m\":0.06,\"start_temperature_k\":300.0,\"thermocouple_depths_m\":[],\"face\":\"gas_stream\",\"stream_gas\":\"mixture\",\"stream_oxygen_mass_fraction\":0.16753359999999998,\"stream_argon_mass_fraction\":0.276,\"history_time_s\":[0.0,0.5,55.0],\"history_pressure_pa\":[2300.0,2300.0,2300.0],\"history_heat_transfer_coefficient_kg_per_m2_s\":[0.0,0.07040224291374243,0.07040224291374243],\"history_flow_enthalpy_j_per_kg\":[7299999.9927,15200000.0,15200000.0],\"history_radiative_heating_w_per_m2\":[0.0,0.0,0.0],\"surroundings_temperature_k\":300.0,\"face_wears\":true,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2745,\"result\":{\"material_compared_with_measurement\":1.0e0,\"material_compared_with_measurement_hex\":\"3ff0000000000000\",\"duration_s\":5.5e1,\"duration_s_hex\":\"404b800000000000\",\"wear_m\":2.004202283461629e-3,\"wear_m_hex\":\"3f606b1de86299c7\",\"peak_face_temperature_k\":2.0124552587289497e3,\"peak_face_temperature_k_hex\":\"409f71d22f58203b\",\"peak_face_temperature_at_s\":5.5e1,\"peak_face_temperature_at_s_hex\":\"404b800000000000\",\"final_face_temperature_k\":2.0124552587289497e3,\"final_face_temperature_k_hex\":\"409f71d22f58203b\",\"final_back_temperature_k\":3.000000000003123e2,\"final_back_temperature_k_hex\":\"4072c00000001576\",\"depth_half_way_to_virgin_m\":6.366386959306254e-3,\"depth_half_way_to_virgin_m_hex\":\"3f7a13a3fc8adc08\",\"depth_within_2_percent_of_virgin_m\":8.390593652385621e-3,\"depth_within_2_percent_of_virgin_m_hex\":\"3f812f166aa5ee91\",\"heat_from_stream_j_per_m2\":4.795774589829872e7,\"heat_from_stream_j_per_m2_hex\":\"4186de378f2fb73d\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":4.1510401814236e7,\"heat_radiated_away_j_per_m2_hex\":\"4183cb300e838e2a\",\"heat_taken_at_face_by_gases_j_per_m2\":-2.3952883568821815e6,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"c142464c2dae50b9\",\"heat_in_through_face_j_per_m2\":8.842632440944968e6,\"heat_in_through_face_j_per_m2_hex\":\"4160ddb10e1c389f\",\"heat_stored_in_solid_j_per_m2\":5.169056063911454e6,\"heat_stored_in_solid_j_per_m2_hex\":\"4153b7e804172011\",\"heat_taken_by_gas_j_per_m2\":3.675969062676355e6,\"heat_taken_by_gas_j_per_m2_hex\":\"414c0ba08805c75f\",\"heat_given_off_by_decomposition_j_per_m2\":8.407388143856522e3,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"40c06bb1aeb2a8f4\",\"char_enthalpy_removed_j_per_m2\":1.2765881352716144e6,\"char_enthalpy_removed_j_per_m2_hex\":\"41337aac22a12918\",\"solid_mass_lost_kg_per_m2\":9.262659670978195e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3feda3f88682a780\",\"gas_mass_out_kg_per_m2\":4.93109808079975e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fdf8f1c70c294c1\",\"char_mass_removed_kg_per_m2\":4.3315615901781773e-1,\"char_mass_removed_kg_per_m2_hex\":\"3fdbb8d49c42b85d\",\"inside_arc_jet_comparison\":1.0e0,\"inside_arc_jet_comparison_hex\":\"3ff0000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":1.620577472578128e3,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"4099524f54f8b596\",\"cells\":6.28e2,\"cells_hex\":\"4083a00000000000\",\"cells_at_end\":5.81e2,\"cells_at_end_hex\":\"4082280000000000\",\"time_steps\":2.745e3,\"time_steps_hex\":\"40a5720000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":-8.131792128551751e-9,\"energy_account_residual_j_per_m2_hex\":\"be41768000000000\",\"energy_account_tolerance_j_per_m2\":3.854204283815155e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fa3bbc85b0593a0\",\"face_balance_residual_j_per_m2\":-3.4482419391835207e-9,\"face_balance_residual_j_per_m2_hex\":\"be2d9ec3a398b360\",\"face_balance_tolerance_j_per_m2\":1.1801621799794308e-1,\"face_balance_tolerance_j_per_m2_hex\":\"3fbe364f94b2e2bb\",\"mass_account_residual_kg_per_m2\":2.6756374893466273e-14,\"mass_account_residual_kg_per_m2_hex\":\"3d1e200000000000\",\"mass_account_tolerance_kg_per_m2\":4.453041871377067e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e67e836d24081bb\"},\"field_sha256\":\"20066a52f67a3eb7e79a970da2257f2222fe64a5173a792dfb4e3c455f92ccb3\",\"seal_parts\":{\"inputs\":\"c8c9fa3c42d733aee88ddc54fd47928a4ac6e906d82d96d549c28005f6157925\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"b519aa517fc10e3edce4a79276acdc66b427603457845b94ebd12f09247724e4\",\"invariants\":\"041717cf6ecb7c28e4ceaff931a7bee757ca922875d69fdda33a83eacff7ff01\",\"field_sha256\":\"3698599723b211f851e218d8f9411409ebeb3278ead403abcb4881e8add0981a\",\"outcome\":\"f8eb799beb1835843164159e2c06564f5e11d59602f8979d8facb03e4dc4ff2e\"},\"solution_seal\":\"a8ac1482614b7d2c29588c9b85c20925491e4d688a5e1f65234f4463f9cf1351\",\"receipt_sha256\":\"bcece0ef6a1c9b8e3f3058291cdb546729d59ccc45048dad609ff0e3fcb6999e\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [7299999.992699999, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, row 0 has flow enthalpy 7299999.992699999 J/kg, outside 7300000..=29200000 J/kg; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "outside_answer_is_error": true}
{"id": "edge-67c954cffdc5", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve_arc_jet_test", "input": "parameters.history_flow_enthalpy_j_per_kg[0]", "input_unit": "J/kg", "whole_number_input": false, "base_value": 15200000.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 29200000.0292, "inside_value_hex": "417bd8e800779a6b", "outside_value": 29200000.029200003, "outside_value_hex": "417bd8e800779a6c", "width": 3.725290298461914e-09, "adjacent_64_bit_numbers": true, "stop_name": "QuestionNotCompared", "stop_sentence": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, row 0 has flow enthalpy 29200000.029200003 J/kg, outside 7300000..=29200000 J/kg; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2745, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "481b507cc04c906dc01c156bf7a66279c5a475484df98a173dad21c56500a537", "outside_proof": null, "inside_receipt": "b3f3a7e702244cbd3848217a4e907dc47acc8af27c49f365318a4fbcd7e0e5a3", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:42:46Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [29200000.0292, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"PICA, open record, version 5\",\"thickness_m\":0.06,\"start_temperature_k\":300.0,\"thermocouple_depths_m\":[],\"face\":\"gas_stream\",\"stream_gas\":\"mixture\",\"stream_oxygen_mass_fraction\":0.16753359999999998,\"stream_argon_mass_fraction\":0.276,\"history_time_s\":[0.0,0.5,55.0],\"history_pressure_pa\":[2300.0,2300.0,2300.0],\"history_heat_transfer_coefficient_kg_per_m2_s\":[0.0,0.07040224291374243,0.07040224291374243],\"history_flow_enthalpy_j_per_kg\":[29200000.0292,15200000.0,15200000.0],\"history_radiative_heating_w_per_m2\":[0.0,0.0,0.0],\"surroundings_temperature_k\":300.0,\"face_wears\":true,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2745,\"result\":{\"material_compared_with_measurement\":1.0e0,\"material_compared_with_measurement_hex\":\"3ff0000000000000\",\"duration_s\":5.5e1,\"duration_s_hex\":\"404b800000000000\",\"wear_m\":2.0053197551526927e-3,\"wear_m_hex\":\"3f606d75d88660b9\",\"peak_face_temperature_k\":2.012509059303991e3,\"peak_face_temperature_k_hex\":\"409f720946d79977\",\"peak_face_temperature_at_s\":5.5e1,\"peak_face_temperature_at_s_hex\":\"404b800000000000\",\"final_face_temperature_k\":2.012509059303991e3,\"final_face_temperature_k_hex\":\"409f720946d79977\",\"final_back_temperature_k\":3.0000000000032657e2,\"final_back_temperature_k_hex\":\"4072c00000001671\",\"depth_half_way_to_virgin_m\":6.3722621131909445e-3,\"depth_half_way_to_virgin_m_hex\":\"3f7a19cd160b09de\",\"depth_within_2_percent_of_virgin_m\":8.398566573668219e-3,\"depth_within_2_percent_of_virgin_m_hex\":\"3f8133448623313f\",\"heat_from_stream_j_per_m2\":4.805032675638078e7,\"heat_from_stream_j_per_m2_hex\":\"4186e984b60d115e\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":4.159689276937375e7,\"heat_radiated_away_j_per_m2_hex\":\"4183d5bee627ad6d\",\"heat_taken_at_face_by_gases_j_per_m2\":-2.3982936150174993e6,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"c1424c2aceb8e4b7\",\"heat_in_through_face_j_per_m2\":8.851727602024527e6,\"heat_in_through_face_j_per_m2_hex\":\"4160e221f343c8f1\",\"heat_stored_in_solid_j_per_m2\":5.173972268887491e6,\"heat_stored_in_solid_j_per_m2_hex\":\"4153bcb5113573e1\",\"heat_taken_by_gas_j_per_m2\":3.680672647557892e6,\"heat_taken_by_gas_j_per_m2_hex\":\"414c14d052e32d50\",\"heat_given_off_by_decomposition_j_per_m2\":8.934316733660706e3,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"40c173288aba8523\",\"char_enthalpy_removed_j_per_m2\":1.27888245306689e6,\"char_enthalpy_removed_j_per_m2_hex\":\"413383a273fc3113\",\"solid_mass_lost_kg_per_m2\":9.269198024666032e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3feda953b7b37ba0\",\"gas_mass_out_kg_per_m2\":4.936546016172612e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fdf9809785dd3b1\",\"char_mass_removed_kg_per_m2\":4.332652008493134e-1,\"char_mass_removed_kg_per_m2_hex\":\"3fdbba9df709218c\",\"inside_arc_jet_comparison\":1.0e0,\"inside_arc_jet_comparison_hex\":\"3ff0000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":1.620577472578128e3,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"4099524f54f8b596\",\"cells\":6.28e2,\"cells_hex\":\"4083a00000000000\",\"cells_at_end\":5.81e2,\"cells_at_end_hex\":\"4082280000000000\",\"time_steps\":2.745e3,\"time_steps_hex\":\"40a5720000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":3.4888216760009527e-9,\"energy_account_residual_j_per_m2_hex\":\"3e2df80000000000\",\"energy_account_tolerance_j_per_m2\":3.851426154672649e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fa3b8242b8ba9e8\",\"face_balance_residual_j_per_m2\":-4.485796899686136e-9,\"face_balance_residual_j_per_m2_hex\":\"be33442f93ef2660\",\"face_balance_tolerance_j_per_m2\":1.1802876046013824e-1,\"face_balance_tolerance_j_per_m2_hex\":\"3fbe37220229e902\",\"mass_account_residual_kg_per_m2\":2.858824288409778e-14,\"mass_account_residual_kg_per_m2_hex\":\"3d20180000000000\",\"mass_account_tolerance_kg_per_m2\":4.4526650969241756e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e67e7b2416d1fcf\"},\"field_sha256\":\"9564719fa63988f741749fb51d17ae3b595a75b88bfb2df9a261126d975dd2a0\",\"seal_parts\":{\"inputs\":\"6d3b2de944db5aa8916d2562704c7d9eba55337dec944da76f5834e514671162\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"067e28dedf2f89985b54c9a17150667ab7700cf2cdc3ad5aed0fc31ea5e778fc\",\"invariants\":\"9e781d0f3e6778f732fbd7c08d2855a62ec98c6a3e6be134ac55b549e35c102a\",\"field_sha256\":\"390e1c7872b119605db36b64bef2669931653e651df3cb43fc85196626e1e566\",\"outcome\":\"f8eb799beb1835843164159e2c06564f5e11d59602f8979d8facb03e4dc4ff2e\"},\"solution_seal\":\"481b507cc04c906dc01c156bf7a66279c5a475484df98a173dad21c56500a537\",\"receipt_sha256\":\"b3f3a7e702244cbd3848217a4e907dc47acc8af27c49f365318a4fbcd7e0e5a3\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [29200000.029200003, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, row 0 has flow enthalpy 29200000.029200003 J/kg, outside 7300000..=29200000 J/kg; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "outside_answer_is_error": true}
{"id": "edge-1aa1f1a79aac", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve_arc_jet_test", "input": "parameters.surroundings_temperature_k", "input_unit": "K", "whole_number_input": false, "base_value": 300.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 299.9999997, "inside_value_hex": "4072bfffffaf7828", "outside_value": 299.99999969999993, "outside_value_hex": "4072bfffffaf7827", "width": 5.684341886080802e-14, "adjacent_64_bit_numbers": true, "stop_name": "SurroundingsNotCompared", "stop_sentence": "Physical Violation: surroundings temperature 299.99999969999993 K is in no PICA envelope compared with measurement: 300 K for the arc-jet tests, 266.48 K for the Stardust flight, 300 K for the thermocouple blocks (SurroundingsNotCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2745, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "b3371943f881d5f34cbc48d3bc37e2a0c27b7940235a3f9a3dfd7b28e4468132", "outside_proof": null, "inside_receipt": "b9f34fad817ca845fe3f0a6ea0a6e8bcf1ee2be768aebf817a406631a957bf93", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:42:51Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 299.9999997, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"PICA, open record, version 5\",\"thickness_m\":0.06,\"start_temperature_k\":300.0,\"thermocouple_depths_m\":[],\"face\":\"gas_stream\",\"stream_gas\":\"mixture\",\"stream_oxygen_mass_fraction\":0.16753359999999998,\"stream_argon_mass_fraction\":0.276,\"history_time_s\":[0.0,0.5,55.0],\"history_pressure_pa\":[2300.0,2300.0,2300.0],\"history_heat_transfer_coefficient_kg_per_m2_s\":[0.0,0.07040224291374243,0.07040224291374243],\"history_flow_enthalpy_j_per_kg\":[15200000.0,15200000.0,15200000.0],\"history_radiative_heating_w_per_m2\":[0.0,0.0,0.0],\"surroundings_temperature_k\":299.9999997,\"face_wears\":true,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2745,\"result\":{\"material_compared_with_measurement\":1.0e0,\"material_compared_with_measurement_hex\":\"3ff0000000000000\",\"duration_s\":5.5e1,\"duration_s_hex\":\"404b800000000000\",\"wear_m\":2.0047276945536294e-3,\"wear_m_hex\":\"3f606c37fc55f614\",\"peak_face_temperature_k\":2.012476712542313e3,\"peak_face_temperature_k_hex\":\"409f71e827552b4f\",\"peak_face_temperature_at_s\":5.5e1,\"peak_face_temperature_at_s_hex\":\"404b800000000000\",\"final_face_temperature_k\":2.012476712542313e3,\"final_face_temperature_k_hex\":\"409f71e827552b4f\",\"final_back_temperature_k\":3.000000000003181e2,\"final_back_temperature_k_hex\":\"4072c000000015dc\",\"depth_half_way_to_virgin_m\":6.368757059957925e-3,\"depth_half_way_to_virgin_m_hex\":\"3f7a1620349e77ba\",\"depth_within_2_percent_of_virgin_m\":8.393816307715345e-3,\"depth_within_2_percent_of_virgin_m_hex\":\"3f8130c6f43dfd9c\",\"heat_from_stream_j_per_m2\":4.799307253030813e7,\"heat_from_stream_j_per_m2_hex\":\"4186e287843e1230\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":4.154358068938874e7,\"heat_radiated_away_j_per_m2_hex\":\"4183cf3ce583de3e\",\"heat_taken_at_face_by_gases_j_per_m2\":-2.396333643087831e6,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"c1424856d250b3b9\",\"heat_in_through_face_j_per_m2\":8.845825484007211e6,\"heat_in_through_face_j_per_m2_hex\":\"4160df402f7cfcb1\",\"heat_stored_in_solid_j_per_m2\":5.170987930091573e6,\"heat_stored_in_solid_j_per_m2_hex\":\"4153b9cafb869ece\",\"heat_taken_by_gas_j_per_m2\":3.677549689502663e6,\"heat_taken_by_gas_j_per_m2_hex\":\"414c0eb6d8419f8e\",\"heat_given_off_by_decomposition_j_per_m2\":8.746041982613247e3,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"40c115055fafaf73\",\"char_enthalpy_removed_j_per_m2\":1.2775135562269646e6,\"char_enthalpy_removed_j_per_m2_hex\":\"41337e498e64e3ee\",\"solid_mass_lost_kg_per_m2\":9.265500707341676e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3feda64c557d1c90\",\"gas_mass_out_kg_per_m2\":4.933291469512181e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fdf92b46a146b7a\",\"char_mass_removed_kg_per_m2\":4.332209237829227e-1,\"char_mass_removed_kg_per_m2_hex\":\"3fdbb9e440e5cbc3\",\"inside_arc_jet_comparison\":1.0e0,\"inside_arc_jet_comparison_hex\":\"3ff0000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":1.620577472578128e3,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"4099524f54f8b596\",\"cells\":6.28e2,\"cells_hex\":\"4083a00000000000\",\"cells_at_end\":5.81e2,\"cells_at_end_hex\":\"4082280000000000\",\"time_steps\":2.745e3,\"time_steps_hex\":\"40a5720000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":-1.2751115718856454e-9,\"energy_account_residual_j_per_m2_hex\":\"be15e80000000000\",\"energy_account_tolerance_j_per_m2\":3.852968353688708e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fa3ba29a56eac79\",\"face_balance_residual_j_per_m2\":-3.34427925897817e-9,\"face_balance_residual_j_per_m2_hex\":\"be2cba25da62c54a\",\"face_balance_tolerance_j_per_m2\":1.1801997278831797e-1,\"face_balance_tolerance_j_per_m2_hex\":\"3fbe368e9366900e\",\"mass_account_residual_kg_per_m2\":2.681188604469753e-14,\"mass_account_residual_kg_per_m2_hex\":\"3d1e300000000000\",\"mass_account_tolerance_kg_per_m2\":4.4528926488957045e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e67e802517c5a22\"},\"field_sha256\":\"e2c25a915544f40de0e3cd434ac886d661f307d3320429620e6f2ad7f818cfc3\",\"seal_parts\":{\"inputs\":\"c2e439e38919014b936216478ec209c26fcf0bffc06e5a11e0ecfb39e1943285\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"f7a9a95a8dfe2b4ea08c6b46c82161e28840f3ec008335813f3c574c63a6acc2\",\"invariants\":\"e22a065dd59d06b2531b15e79810c591837de65f21c9539ac5ef74b6393784b3\",\"field_sha256\":\"0accca9a61339f272755b55fab453f3b3ff75e9cb7752554504450c85b457977\",\"outcome\":\"f8eb799beb1835843164159e2c06564f5e11d59602f8979d8facb03e4dc4ff2e\"},\"solution_seal\":\"b3371943f881d5f34cbc48d3bc37e2a0c27b7940235a3f9a3dfd7b28e4468132\",\"receipt_sha256\":\"b9f34fad817ca845fe3f0a6ea0a6e8bcf1ee2be768aebf817a406631a957bf93\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 299.99999969999993, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: surroundings temperature 299.99999969999993 K is in no PICA envelope compared with measurement: 300 K for the arc-jet tests, 266.48 K for the Stardust flight, 300 K for the thermocouple blocks (SurroundingsNotCompared).", "outside_answer_is_error": true}
{"id": "edge-e8fd78d625e3", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve_arc_jet_test", "input": "parameters.surroundings_temperature_k", "input_unit": "K", "whole_number_input": false, "base_value": 300.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 300.0000003, "inside_value_hex": "4072c000005087d8", "outside_value": 300.00000030000007, "outside_value_hex": "4072c000005087d9", "width": 5.684341886080802e-14, "adjacent_64_bit_numbers": true, "stop_name": "SurroundingsNotCompared", "stop_sentence": "Physical Violation: surroundings temperature 300.00000030000007 K is in no PICA envelope compared with measurement: 300 K for the arc-jet tests, 266.48 K for the Stardust flight, 300 K for the thermocouple blocks (SurroundingsNotCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2745, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "ca3fbba3672bd1e84693d19fcf51b4844e76258cc61ba5f4a0dd5af7be126d2c", "outside_proof": null, "inside_receipt": "f9dc8d2dffb1c3be83d551179d804a24d499d1351d7416f3d281384209badb81", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:42:55Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0000003, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"PICA, open record, version 5\",\"thickness_m\":0.06,\"start_temperature_k\":300.0,\"thermocouple_depths_m\":[],\"face\":\"gas_stream\",\"stream_gas\":\"mixture\",\"stream_oxygen_mass_fraction\":0.16753359999999998,\"stream_argon_mass_fraction\":0.276,\"history_time_s\":[0.0,0.5,55.0],\"history_pressure_pa\":[2300.0,2300.0,2300.0],\"history_heat_transfer_coefficient_kg_per_m2_s\":[0.0,0.07040224291374243,0.07040224291374243],\"history_flow_enthalpy_j_per_kg\":[15200000.0,15200000.0,15200000.0],\"history_radiative_heating_w_per_m2\":[0.0,0.0,0.0],\"surroundings_temperature_k\":300.0000003,\"face_wears\":true,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2745,\"result\":{\"material_compared_with_measurement\":1.0e0,\"material_compared_with_measurement_hex\":\"3ff0000000000000\",\"duration_s\":5.5e1,\"duration_s_hex\":\"404b800000000000\",\"wear_m\":2.0047276945535405e-3,\"wear_m_hex\":\"3f606c37fc55f547\",\"peak_face_temperature_k\":2.0124767125441333e3,\"peak_face_temperature_k_hex\":\"409f71e827554a95\",\"peak_face_temperature_at_s\":5.5e1,\"peak_face_temperature_at_s_hex\":\"404b800000000000\",\"final_face_temperature_k\":2.0124767125441333e3,\"final_face_temperature_k_hex\":\"409f71e827554a95\",\"final_back_temperature_k\":3.0000000000031804e2,\"final_back_temperature_k_hex\":\"4072c000000015db\",\"depth_half_way_to_virgin_m\":6.368757059964607e-3,\"depth_half_way_to_virgin_m_hex\":\"3f7a1620349e95d2\",\"depth_within_2_percent_of_virgin_m\":8.39381630772091e-3,\"depth_within_2_percent_of_virgin_m_hex\":\"3f8130c6f43e0a24\",\"heat_from_stream_j_per_m2\":4.799307253029523e7,\"heat_from_stream_j_per_m2_hex\":\"4186e287843e0b6d\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":4.15435806893661e7,\"heat_radiated_away_j_per_m2_hex\":\"4183cf3ce583d260\",\"heat_taken_at_face_by_gases_j_per_m2\":-2.3963336430919403e6,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"c1424856d250d632\",\"heat_in_through_face_j_per_m2\":8.845825484021207e6,\"heat_in_through_face_j_per_m2_hex\":\"4160df402f7d1a0b\",\"heat_stored_in_solid_j_per_m2\":5.170987930098833e6,\"heat_stored_in_solid_j_per_m2_hex\":\"4153b9cafb86bd41\",\"heat_taken_by_gas_j_per_m2\":3.6775496895087915e6,\"heat_taken_by_gas_j_per_m2_hex\":\"414c0eb6d841d2f7\",\"heat_given_off_by_decomposition_j_per_m2\":8.746041982034172e3,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"40c115055faad3e5\",\"char_enthalpy_removed_j_per_m2\":1.2775135562286903e6,\"char_enthalpy_removed_j_per_m2_hex\":\"41337e498e6500e2\",\"solid_mass_lost_kg_per_m2\":9.265500707345122e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3feda64c557d28b0\",\"gas_mass_out_kg_per_m2\":4.9332914695158675e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fdf92b46a14856b\",\"char_mass_removed_kg_per_m2\":4.3322092378289756e-1,\"char_mass_removed_kg_per_m2_hex\":\"3fdbb9e440e5c9fe\",\"inside_arc_jet_comparison\":1.0e0,\"inside_arc_jet_comparison_hex\":\"3ff0000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":1.620577472578128e3,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"4099524f54f8b596\",\"cells\":6.28e2,\"cells_hex\":\"4083a00000000000\",\"cells_at_end\":5.81e2,\"cells_at_end_hex\":\"4082280000000000\",\"time_steps\":2.745e3,\"time_steps_hex\":\"40a5720000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":-2.2998392523732036e-8,\"energy_account_residual_j_per_m2_hex\":\"be58b1c000000000\",\"energy_account_tolerance_j_per_m2\":3.8529683536900367e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fa3ba29a56eb3f4\",\"face_balance_residual_j_per_m2\":5.116277726528828e-9,\"face_balance_residual_j_per_m2_hex\":\"3e35f96827674c3f\",\"face_balance_tolerance_j_per_m2\":1.1801997278830172e-1,\"face_balance_tolerance_j_per_m2_hex\":\"3fbe368e93668b7b\",\"mass_account_residual_kg_per_m2\":2.7922109069322687e-14,\"mass_account_residual_kg_per_m2_hex\":\"3d1f700000000000\",\"mass_account_tolerance_kg_per_m2\":4.45289264889567e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e67e802517c59ee\"},\"field_sha256\":\"ca33893f34bc4ec0578d8883fc5e86f7f2b2d05af37afd510794c1b33fc22fb1\",\"seal_parts\":{\"inputs\":\"d573844affac62949a8ce24dfd13d895b0dbb95211551ed79ad8dc531f08e865\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"ffcac90c5a3a0fb05f4e6ea652843889318c0a092be22abeb22492dfef54d380\",\"invariants\":\"fdf02feb5634608d83e4f4ad4c94852839a457f880937752378c12fced338b17\",\"field_sha256\":\"18ecb560f79d3ca011825241290219f6b811a9ace8fe8bdd18d204f995706c18\",\"outcome\":\"f8eb799beb1835843164159e2c06564f5e11d59602f8979d8facb03e4dc4ff2e\"},\"solution_seal\":\"ca3fbba3672bd1e84693d19fcf51b4844e76258cc61ba5f4a0dd5af7be126d2c\",\"receipt_sha256\":\"f9dc8d2dffb1c3be83d551179d804a24d499d1351d7416f3d281384209badb81\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15200000.0], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.00000030000007, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: surroundings temperature 300.00000030000007 K is in no PICA envelope compared with measurement: 300 K for the arc-jet tests, 266.48 K for the Stardust flight, 300 K for the thermocouple blocks (SurroundingsNotCompared).", "outside_answer_is_error": true}
{"id": "edge-94fe898a4bde", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve_arc_jet_test", "input": "parameters.history_flow_enthalpy_j_per_kg[2]", "input_unit": "J/kg", "whole_number_input": false, "base_value": 15200000.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 15199999.98480162, "inside_value_hex": "416cfddfff837eb0", "outside_value": 15199999.984801618, "outside_value_hex": "416cfddfff837eaf", "width": 1.862645149230957e-09, "adjacent_64_bit_numbers": true, "stop_name": "QuestionNotCompared", "stop_sentence": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, the cold-wall heating falls to 1069999.9989299998 W/m2 between 0.5 and 55 s, below 1070000 W/m2 after the first 0.5 s; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2745, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "ba5da7a5db1ae48eecb8b8d27a800151217575a11b048392edea49bcd68c7af6", "outside_proof": null, "inside_receipt": "671fdfe60ec5690eef9759db9515ffc0d94fbde4a221e0098442d8b50f7399c7", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:43:00Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15199999.98480162], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"PICA, open record, version 5\",\"thickness_m\":0.06,\"start_temperature_k\":300.0,\"thermocouple_depths_m\":[],\"face\":\"gas_stream\",\"stream_gas\":\"mixture\",\"stream_oxygen_mass_fraction\":0.16753359999999998,\"stream_argon_mass_fraction\":0.276,\"history_time_s\":[0.0,0.5,55.0],\"history_pressure_pa\":[2300.0,2300.0,2300.0],\"history_heat_transfer_coefficient_kg_per_m2_s\":[0.0,0.07040224291374243,0.07040224291374243],\"history_flow_enthalpy_j_per_kg\":[15200000.0,15200000.0,15199999.98480162],\"history_radiative_heating_w_per_m2\":[0.0,0.0,0.0],\"surroundings_temperature_k\":300.0,\"face_wears\":true,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2745,\"result\":{\"material_compared_with_measurement\":1.0e0,\"material_compared_with_measurement_hex\":\"3ff0000000000000\",\"duration_s\":5.5e1,\"duration_s_hex\":\"404b800000000000\",\"wear_m\":2.0047276945701024e-3,\"wear_m_hex\":\"3f606c37fc568a74\",\"peak_face_temperature_k\":2.0124767120226188e3,\"peak_face_temperature_k_hex\":\"409f71e827324b08\",\"peak_face_temperature_at_s\":5.5e1,\"peak_face_temperature_at_s_hex\":\"404b800000000000\",\"final_face_temperature_k\":2.0124767120226188e3,\"final_face_temperature_k_hex\":\"409f71e827324b08\",\"final_back_temperature_k\":3.0000000000031787e2,\"final_back_temperature_k_hex\":\"4072c000000015d8\",\"depth_half_way_to_virgin_m\":6.368757059012622e-3,\"depth_half_way_to_virgin_m_hex\":\"3f7a1620348dd676\",\"depth_within_2_percent_of_virgin_m\":8.393816307091902e-3,\"depth_within_2_percent_of_virgin_m_hex\":\"3f8130c6f43881be\",\"heat_from_stream_j_per_m2\":4.7993072505824804e7,\"heat_from_stream_j_per_m2_hex\":\"4186e287840bede0\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":4.154358066653967e7,\"heat_radiated_away_j_per_m2_hex\":\"4183cf3ce55512c0\",\"heat_taken_at_face_by_gases_j_per_m2\":-2.396333642599914e6,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"c1424856d240b6c8\",\"heat_in_through_face_j_per_m2\":8.845825481885072e6,\"heat_in_through_face_j_per_m2_hex\":\"4160df402f6b9a3e\",\"heat_stored_in_solid_j_per_m2\":5.170987928761134e6,\"heat_stored_in_solid_j_per_m2_hex\":\"4153b9cafb70d28a\",\"heat_taken_by_gas_j_per_m2\":3.6775496887657675e6,\"heat_taken_by_gas_j_per_m2_hex\":\"414c0eb6d8297a07\",\"heat_given_off_by_decomposition_j_per_m2\":8.746042035939596e3,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"40c11505616f04e9\",\"char_enthalpy_removed_j_per_m2\":1.2775135559909742e6,\"char_enthalpy_removed_j_per_m2_hex\":\"41337e498e556cab\",\"solid_mass_lost_kg_per_m2\":9.265500706869716e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3feda64c5576a000\",\"gas_mass_out_kg_per_m2\":4.9332914690025836e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fdf92b46a066981\",\"char_mass_removed_kg_per_m2\":4.332209237866842e-1,\"char_mass_removed_kg_per_m2_hex\":\"3fdbb9e440e6d474\",\"inside_arc_jet_comparison\":1.0e0,\"inside_arc_jet_comparison_hex\":\"3ff0000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":1.620577472578128e3,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"4099524f54f8b596\",\"cells\":6.28e2,\"cells_hex\":\"4083a00000000000\",\"cells_at_end\":5.81e2,\"cells_at_end_hex\":\"4082280000000000\",\"time_steps\":2.745e3,\"time_steps_hex\":\"40a5720000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":-1.040189090417698e-8,\"energy_account_residual_j_per_m2_hex\":\"be46568000000000\",\"energy_account_tolerance_j_per_m2\":3.85296835350686e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fa3ba29a56aacc3\",\"face_balance_residual_j_per_m2\":-1.2992912478821913e-9,\"face_balance_residual_j_per_m2_hex\":\"be165257e51b92f2\",\"face_balance_tolerance_j_per_m2\":1.1801997273841051e-1,\"face_balance_tolerance_j_per_m2_hex\":\"3fbe368e932fb05b\",\"mass_account_residual_kg_per_m2\":2.9032332093947844e-14,\"mass_account_residual_kg_per_m2_hex\":\"3d20580000000000\",\"mass_account_tolerance_kg_per_m2\":4.4528926488978235e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e67e802517c66a4\"},\"field_sha256\":\"df47843f9f6b89cb3015efade7ebc2524dad52baf05553d1619b043b530e63db\",\"seal_parts\":{\"inputs\":\"c49044459411514e41cbad70d4a001fce8e8e069b4cff5f87daf1b1ba22b3ac1\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"16c8926cad6e4e7fdd28ed97e140397e690889d1881390bdb4fbb9b4079da762\",\"invariants\":\"99452457610b64549670001c7cca8057a806d9d8baf40e287c8b738123ddfe1f\",\"field_sha256\":\"021d45f65d2a8024420b8a26b458bce2fe9005cf662b604674be2c0a17049427\",\"outcome\":\"f8eb799beb1835843164159e2c06564f5e11d59602f8979d8facb03e4dc4ff2e\"},\"solution_seal\":\"ba5da7a5db1ae48eecb8b8d27a800151217575a11b048392edea49bcd68c7af6\",\"receipt_sha256\":\"671fdfe60ec5690eef9759db9515ffc0d94fbde4a221e0098442d8b50f7399c7\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 15199999.984801618], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, the cold-wall heating falls to 1069999.9989299998 W/m2 between 0.5 and 55 s, below 1070000 W/m2 after the first 0.5 s; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "outside_answer_is_error": true}
{"id": "edge-a1ef3ee708b5", "model": "ablator_slab", "solver": "ablator_slab", "tool": "solve", "specimen": "A flat slab of charring heat-shield material heated on one face, held at a temperature or in a gas stream: wear, face temperature, depth of charring, and the heat and mass accounts, for a PICA model built from the open record or the test material TACOT.", "base": "example_solve_arc_jet_test", "input": "parameters.history_flow_enthalpy_j_per_kg[2]", "input_unit": "J/kg", "whole_number_input": false, "base_value": 15200000.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 29200000.0292, "inside_value_hex": "417bd8e800779a6b", "outside_value": 29200000.029200003, "outside_value_hex": "417bd8e800779a6c", "width": 3.725290298461914e-09, "adjacent_64_bit_numbers": true, "stop_name": "QuestionNotCompared", "stop_sentence": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, row 2 has flow enthalpy 29200000.029200003 J/kg, outside 7300000..=29200000 J/kg; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2745, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "48d8086804823a67e5c3cb32cd6c2a164de8f1a7ec343af7b33c4037fc223d84", "outside_proof": null, "inside_receipt": "09c3c6a6df5af520acd112afe2c5733992de2f62000b4c629578fb5cb7386a92", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:43:05Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 29200000.0292], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"ablator_slab\",\"parameters\":{\"material\":\"PICA, open record, version 5\",\"thickness_m\":0.06,\"start_temperature_k\":300.0,\"thermocouple_depths_m\":[],\"face\":\"gas_stream\",\"stream_gas\":\"mixture\",\"stream_oxygen_mass_fraction\":0.16753359999999998,\"stream_argon_mass_fraction\":0.276,\"history_time_s\":[0.0,0.5,55.0],\"history_pressure_pa\":[2300.0,2300.0,2300.0],\"history_heat_transfer_coefficient_kg_per_m2_s\":[0.0,0.07040224291374243,0.07040224291374243],\"history_flow_enthalpy_j_per_kg\":[15200000.0,15200000.0,29200000.0292],\"history_radiative_heating_w_per_m2\":[0.0,0.0,0.0],\"surroundings_temperature_k\":300.0,\"face_wears\":true,\"return_face_history\":false,\"return_thermocouple_histories\":false,\"return_final_profile\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2745,\"result\":{\"material_compared_with_measurement\":1.0e0,\"material_compared_with_measurement_hex\":\"3ff0000000000000\",\"duration_s\":5.5e1,\"duration_s_hex\":\"404b800000000000\",\"wear_m\":1.9926421060394166e-3,\"wear_m_hex\":\"3f6052df95b2c3c1\",\"peak_face_temperature_k\":2.3818994609190763e3,\"peak_face_temperature_k_hex\":\"40a29bcc86243eed\",\"peak_face_temperature_at_s\":5.5e1,\"peak_face_temperature_at_s_hex\":\"404b800000000000\",\"final_face_temperature_k\":2.3818994609190763e3,\"final_face_temperature_k_hex\":\"40a29bcc86243eed\",\"final_back_temperature_k\":3.000000000003208e2,\"final_back_temperature_k_hex\":\"4072c0000000160c\",\"depth_half_way_to_virgin_m\":7.0562026093665565e-3,\"depth_half_way_to_virgin_m_hex\":\"3f7ce6f6f70f11f2\",\"depth_within_2_percent_of_virgin_m\":8.888325911609539e-3,\"depth_within_2_percent_of_virgin_m_hex\":\"3f82340ae8da381f\",\"heat_from_stream_j_per_m2\":7.055988195503305e7,\"heat_from_stream_j_per_m2_hex\":\"4190d2a227d1f42f\",\"heat_absorbed_from_radiation_j_per_m2\":0.0e0,\"heat_absorbed_from_radiation_j_per_m2_hex\":\"0000000000000000\",\"heat_radiated_away_j_per_m2\":6.276438965307081e7,\"heat_radiated_away_j_per_m2_hex\":\"418dedab2d397d30\",\"heat_taken_at_face_by_gases_j_per_m2\":-2.772640625829429e6,\"heat_taken_at_face_by_gases_j_per_m2_hex\":\"c1452750501b2dc1\",\"heat_in_through_face_j_per_m2\":1.0568132927791597e7,\"heat_in_through_face_j_per_m2_hex\":\"416428389db07801\",\"heat_stored_in_solid_j_per_m2\":6.241841235225393e6,\"heat_stored_in_solid_j_per_m2_hex\":\"4157cf8c4f0deecf\",\"heat_taken_by_gas_j_per_m2\":4.286957555043836e6,\"heat_taken_by_gas_j_per_m2_hex\":\"41505a7b6385d695\",\"heat_given_off_by_decomposition_j_per_m2\":-3.2791717483535715e4,\"heat_given_off_by_decomposition_j_per_m2_hex\":\"c0e002f6f5a0082a\",\"char_enthalpy_removed_j_per_m2\":1.460691622971863e6,\"char_enthalpy_removed_j_per_m2_hex\":\"413649d39f7b1582\",\"solid_mass_lost_kg_per_m2\":9.624228183311843e-1,\"solid_mass_lost_kg_per_m2_hex\":\"3feecc2af03502c0\",\"gas_mass_out_kg_per_m2\":5.319508936176557e-1,\"gas_mass_out_kg_per_m2_hex\":\"3fe105bde1654e49\",\"char_mass_removed_kg_per_m2\":4.3047192471349954e-1,\"char_mass_removed_kg_per_m2_hex\":\"3fdb8cda1d9f66e3\",\"inside_arc_jet_comparison\":1.0e0,\"inside_arc_jet_comparison_hex\":\"3ff0000000000000\",\"inside_stardust_comparison\":0.0e0,\"inside_stardust_comparison_hex\":\"0000000000000000\",\"inside_thermocouple_block_comparison\":0.0e0,\"inside_thermocouple_block_comparison_hex\":\"0000000000000000\",\"stream_enthalpy_at_cold_wall_j_per_kg\":1.620577472578128e3,\"stream_enthalpy_at_cold_wall_j_per_kg_hex\":\"4099524f54f8b596\",\"cells\":6.28e2,\"cells_hex\":\"4083a00000000000\",\"cells_at_end\":5.81e2,\"cells_at_end_hex\":\"4082280000000000\",\"time_steps\":2.745e3,\"time_steps_hex\":\"40a5720000000000\",\"hardest_step_newton_passes\":4.0e0,\"hardest_step_newton_passes_hex\":\"4010000000000000\"},\"invariants\":{\"energy_account_residual_j_per_m2\":1.035823515849188e-8,\"energy_account_residual_j_per_m2_hex\":\"3e463e8000000000\",\"energy_account_tolerance_j_per_m2\":4.115770522872489e-2,\"energy_account_tolerance_j_per_m2_hex\":\"3fa5129f6bdf1ec4\",\"face_balance_residual_j_per_m2\":2.08945584904669e-9,\"face_balance_residual_j_per_m2_hex\":\"3e21f2c312a95c0d\",\"face_balance_tolerance_j_per_m2\":1.638754040332641e-1,\"face_balance_tolerance_j_per_m2_hex\":\"3fc4f9de8678882d\",\"mass_account_residual_kg_per_m2\":2.9032332093947844e-14,\"mass_account_residual_kg_per_m2_hex\":\"3d20580000000000\",\"mass_account_tolerance_kg_per_m2\":4.451189845030624e-8,\"mass_account_tolerance_kg_per_m2_hex\":\"3e67e5ab328c77f0\"},\"field_sha256\":\"5231f9a81c192617d0b279e3135ceff014b8be095bd3b180e698b3dba0463b7b\",\"seal_parts\":{\"inputs\":\"b0c325712874e10222e2bd81e1ea37061720935e68cc951d3e1ba31045d710dd\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"f1403ce2205c16d12aed03c5654719a4f9dd9d4e1d09da8007085d1d00e669d8\",\"invariants\":\"89ab25294d4ffbf0e76356857ac553c67c6e4b06ea561f014b4195c04503c66b\",\"field_sha256\":\"5e88567ed38d25d8ea748f307b1e7d0509f86433fb6cb6918bd249b8f7304a98\",\"outcome\":\"f8eb799beb1835843164159e2c06564f5e11d59602f8979d8facb03e4dc4ff2e\"},\"solution_seal\":\"48d8086804823a67e5c3cb32cd6c2a164de8f1a7ec343af7b33c4037fc223d84\",\"receipt_sha256\":\"09c3c6a6df5af520acd112afe2c5733992de2f62000b4c629578fb5cb7386a92\"}", "outside_request": "{\"solver\": \"ablator_slab\", \"parameters\": {\"material\": \"PICA, open record, version 5\", \"thickness_m\": 0.06, \"start_temperature_k\": 300.0, \"thermocouple_depths_m\": [], \"face\": \"gas_stream\", \"stream_gas\": \"mixture\", \"stream_oxygen_mass_fraction\": 0.16753359999999998, \"stream_argon_mass_fraction\": 0.276, \"history_time_s\": [0.0, 0.5, 55.0], \"history_pressure_pa\": [2300.0, 2300.0, 2300.0], \"history_heat_transfer_coefficient_kg_per_m2_s\": [0.0, 0.07040224291374243, 0.07040224291374243], \"history_flow_enthalpy_j_per_kg\": [15200000.0, 15200000.0, 29200000.029200003], \"history_radiative_heating_w_per_m2\": [0.0, 0.0, 0.0], \"surroundings_temperature_k\": 300.0, \"face_wears\": true, \"return_face_history\": false, \"return_thermocouple_histories\": false, \"return_final_profile\": false}}", "outside_answer": "Physical Violation: the question lies inside no envelope the PICA model was compared with measurement on: for the arc-jet tests, row 2 has flow enthalpy 29200000.029200003 J/kg, outside 7300000..=29200000 J/kg; for the Stardust flight, thickness 0.06 m is not the 0.0582 m compared; for the thermocouple blocks, thickness 0.06 m is outside 0.0224..=0.0325 m (QuestionNotCompared).", "outside_answer_is_error": true}
{"id": "edge-59e81b37d3d2", "model": "argon_pair_gas", "solver": "argon_pair_gas", "tool": "solve", "specimen": "Argon gas at low density from one Lennard-Jones pair potential whose two constants are fitted to the measured speed of sound in argon: second virial coefficient, speed of sound and viscosity at zero density. Each property is answered where it was compared: the speed of sound from 250 K to 349.868 K at 30.5 kPa to 467.2 kPa, the viscosity from 291.09 K to 681.96 K at zero pressure; elsewhere the solver refuses by name.", "base": "example_solve", "input": "parameters.temperature_k", "input_unit": "K", "whole_number_input": false, "base_value": 300.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 250.0, "inside_value_hex": "406f400000000000", "outside_value": 249.99999999999997, "outside_value_hex": "406f3fffffffffff", "width": 2.842170943040401e-14, "adjacent_64_bit_numbers": true, "stop_name": "TemperatureOutOfRange", "stop_sentence": "Physical Violation: 'temperature_k' 249.99999999999997 is outside 250 to 681.96 K (TemperatureOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 23, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "50925ec14e9b3fbf52fb04b72cba055a85a5e1288ce75ed9a01f1f40f602cad7", "outside_proof": null, "inside_receipt": "d2ba52158af25e31c518375a5c1b7f99e1f6b4327d433d6e665c557969c568f7", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:43:11Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"argon_pair_gas\", \"parameters\": {\"temperature_k\": 250.0, \"pressure_kpa\": 101.325}}", "inside_answer": "{\"inputs\":{\"solver\":\"argon_pair_gas\",\"parameters\":{\"temperature_k\":250.0,\"pressure_kpa\":101.325}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":23,\"result\":{\"reduced_temperature\":2.0950305874465767e0,\"reduced_temperature_hex\":\"4000c29f65899f29\",\"second_virial_cm3_per_mol\":-2.727797419667187e1,\"second_virial_cm3_per_mol_hex\":\"c03b47295123d66a\",\"second_virial_first_derivative_cm3_per_mol\":7.541458457461333e1,\"second_virial_first_derivative_cm3_per_mol_hex\":\"4052da888dbd58fb\",\"second_virial_second_derivative_cm3_per_mol\":-1.7520127717472744e2,\"second_virial_second_derivative_cm3_per_mol_hex\":\"c065e670dcd45c57\",\"acoustic_virial_cm3_per_mol\":-7.235095404532785e-1,\"acoustic_virial_cm3_per_mol_hex\":\"bfe726fd7ad2e800\",\"sound_speed_m_per_s\":2.944803309258845e2,\"sound_speed_m_per_s_hex\":\"407267af6f7b1ee7\",\"ideal_gas_sound_speed_m_per_s\":2.944855239993392e2,\"ideal_gas_sound_speed_m_per_s_hex\":\"407267c4b4d0295c\",\"collision_integral_22\":1.1570133758929433e0,\"collision_integral_22_hex\":\"3ff283207527ea7b\",\"collision_integral_23\":1.0583580717670218e0,\"collision_integral_23_hex\":\"3ff0ef08df9b26d4\",\"viscosity_second_approximation_factor\":1.0015464762342936e0,\"viscosity_second_approximation_factor_hex\":\"3ff00655990d9af6\",\"viscosity_pa_s\":2.0073867642878706e-5,\"viscosity_pa_s_hex\":\"3ef50c89ae345a6b\"},\"invariants\":{\"virial_forms_residual_cm3_per_mol\":-2.1855988057325267e-14,\"virial_forms_residual_cm3_per_mol_hex\":\"bd189b8f45cec20b\",\"least_turning_point_margin\":1.1379916897702458e-8,\"least_turning_point_margin_hex\":\"3e48702cec000000\",\"collision_integral_rule_gap\":9.311918394057833e-10,\"collision_integral_rule_gap_hex\":\"3e0ffed99c485cd6\"},\"field_sha256\":\"3c600412eb84fe7ab97574120a080b59827aa0399a475809a41bd214c3f3b679\",\"seal_parts\":{\"inputs\":\"437bfe0daed053efbde59bf5ae05c84caadbacb79ddbd01789f0da8d9182b6e7\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"0178304766616cbd2220d548abc67b89820d2902ab2b8c43c7d8a53084fdf142\",\"invariants\":\"b837b6060ae7d1dc801f185b0ac4847fd6478489d891666826c6cb442db582dc\",\"field_sha256\":\"ef474035fac3336111a4d4db6b64305cc9db0095f83f29d78e2293448186165e\",\"outcome\":\"0196a8476a22192af4c6da3178faf5577446c59bc124fa0dd8ce907a388d283a\"},\"solution_seal\":\"50925ec14e9b3fbf52fb04b72cba055a85a5e1288ce75ed9a01f1f40f602cad7\",\"receipt_sha256\":\"d2ba52158af25e31c518375a5c1b7f99e1f6b4327d433d6e665c557969c568f7\"}", "outside_request": "{\"solver\": \"argon_pair_gas\", \"parameters\": {\"temperature_k\": 249.99999999999997, \"pressure_kpa\": 101.325}}", "outside_answer": "Physical Violation: 'temperature_k' 249.99999999999997 is outside 250 to 681.96 K (TemperatureOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-df95eb152e6c", "model": "argon_pair_gas", "solver": "argon_pair_gas", "tool": "solve", "specimen": "Argon gas at low density from one Lennard-Jones pair potential whose two constants are fitted to the measured speed of sound in argon: second virial coefficient, speed of sound and viscosity at zero density. Each property is answered where it was compared: the speed of sound from 250 K to 349.868 K at 30.5 kPa to 467.2 kPa, the viscosity from 291.09 K to 681.96 K at zero pressure; elsewhere the solver refuses by name.", "base": "example_solve", "input": "parameters.temperature_k", "input_unit": "K", "whole_number_input": false, "base_value": 300.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 349.868, "inside_value_hex": "4075dde353f7ced9", "outside_value": 349.86800000000005, "outside_value_hex": "4075dde353f7ceda", "width": 5.684341886080802e-14, "adjacent_64_bit_numbers": true, "stop_name": "SoundSpeedNotCompared", "stop_sentence": "Physical Violation: temperature 349.86800000000005 K is above 349.868 K, the highest at which the speed of sound was compared with measurement (SoundSpeedNotCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 24, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "73a8988968a4dcd09319a140cc52084da358b92e04db3b0fad5cc549da16fbfe", "outside_proof": null, "inside_receipt": "73304016147b2342f032a70d1adcb46fb9a11b67e561651f832aa0a1209e1fdc", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:43:13Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"argon_pair_gas\", \"parameters\": {\"temperature_k\": 349.868, \"pressure_kpa\": 101.325}}", "inside_answer": "{\"inputs\":{\"solver\":\"argon_pair_gas\",\"parameters\":{\"temperature_k\":349.868,\"pressure_kpa\":101.325}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":24,\"result\":{\"reduced_temperature\":2.9319366462750356e0,\"reduced_temperature_hex\":\"4007749b334d8fc4\",\"second_virial_cm3_per_mol\":-6.771769814140111e0,\"second_virial_cm3_per_mol_hex\":\"c01b164ad37f164c\",\"second_virial_first_derivative_cm3_per_mol\":4.866761544724368e1,\"second_virial_first_derivative_cm3_per_mol_hex\":\"404855746c481ba7\",\"second_virial_second_derivative_cm3_per_mol\":-1.1150983135125642e2,\"second_virial_second_derivative_cm3_per_mol_hex\":\"c05be0a113ad07cc\",\"acoustic_virial_cm3_per_mol\":2.1610659274376314e1,\"acoustic_virial_cm3_per_mol_hex\":\"40359c542a8c7203\",\"sound_speed_m_per_s\":3.48505352295069e2,\"sound_speed_m_per_s_hex\":\"4075c815ec49c47a\",\"ideal_gas_sound_speed_m_per_s\":3.483742589702077e2,\"ideal_gas_sound_speed_m_per_s_hex\":\"4075c5fcf6f9546d\",\"collision_integral_22\":1.0451798813559503e0,\"collision_integral_22_hex\":\"3ff0b90e8a0dc685\",\"collision_integral_23\":9.754164889959701e-1,\"collision_integral_23_hex\":\"3fef369ca406f051\",\"viscosity_second_approximation_factor\":1.0033240745337002e0,\"viscosity_second_approximation_factor_hex\":\"3ff00d9d8b76965c\",\"viscosity_pa_s\":2.633483655867649e-5,\"viscosity_pa_s_hex\":\"3efb9d34303084b3\"},\"invariants\":{\"virial_forms_residual_cm3_per_mol\":-4.2345976861067707e-14,\"virial_forms_residual_cm3_per_mol_hex\":\"bd27d6b2cba04bfb\",\"least_turning_point_margin\":1.1379916897702458e-8,\"least_turning_point_margin_hex\":\"3e48702cec000000\",\"collision_integral_rule_gap\":1.0426922083182713e-9,\"collision_integral_rule_gap_hex\":\"3e11e9cf0f69fe27\"},\"field_sha256\":\"4c4dda7700f0b028fc13671cfbc37acfd08491716befc8dda7a2b97a2a688243\",\"seal_parts\":{\"inputs\":\"60415ff657efdc310c686ddcff97e9509570f47978a0f44867d91ff7a21811ea\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"ca3d24fa587de0b97bb740b35abbd1d1368ca8cd932b045324ba5b3e1cc37c24\",\"invariants\":\"c8752b12c0a73e3173f886c841e8703b1ef50084a22f17e53075759f269092ac\",\"field_sha256\":\"0df0587a1b0ad4156f4529aa0ec58bac281b82883b3dbbc8c90fa2fa27b6d89d\",\"outcome\":\"04927186856a61a7b885a8cab361c00ed220b8677da01312e82a22174aca5b46\"},\"solution_seal\":\"73a8988968a4dcd09319a140cc52084da358b92e04db3b0fad5cc549da16fbfe\",\"receipt_sha256\":\"73304016147b2342f032a70d1adcb46fb9a11b67e561651f832aa0a1209e1fdc\"}", "outside_request": "{\"solver\": \"argon_pair_gas\", \"parameters\": {\"temperature_k\": 349.86800000000005, \"pressure_kpa\": 101.325}}", "outside_answer": "Physical Violation: temperature 349.86800000000005 K is above 349.868 K, the highest at which the speed of sound was compared with measurement (SoundSpeedNotCompared).", "outside_answer_is_error": true}
{"id": "edge-77a097b24982", "model": "argon_pair_gas", "solver": "argon_pair_gas", "tool": "solve", "specimen": "Argon gas at low density from one Lennard-Jones pair potential whose two constants are fitted to the measured speed of sound in argon: second virial coefficient, speed of sound and viscosity at zero density. Each property is answered where it was compared: the speed of sound from 250 K to 349.868 K at 30.5 kPa to 467.2 kPa, the viscosity from 291.09 K to 681.96 K at zero pressure; elsewhere the solver refuses by name.", "base": "example_solve", "input": "parameters.pressure_kpa", "input_unit": "kPa", "whole_number_input": false, "base_value": 101.325, "edge_kind": "declared_limit", "direction": "down", "inside_value": 30.5, "inside_value_hex": "403e800000000000", "outside_value": 30.499999999999996, "outside_value_hex": "403e7fffffffffff", "width": 3.552713678800501e-15, "adjacent_64_bit_numbers": true, "stop_name": "PressureNotCompared", "stop_sentence": "Physical Violation: pressure 30.499999999999996 kPa is above zero and outside 30.5..=467.2 kPa, the pressures at which the speed of sound was compared with measurement; the viscosity was compared at zero pressure only (PressureNotCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 24, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "eaea468f74c0ed9f27972c9cafb18baac48e6f9ea84b5adda06271da1cbb2053", "outside_proof": null, "inside_receipt": "d7957f18a39e455ec100aee4c84020d67bc69ceaa42593d684b005a6ef31738d", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:43:16Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"argon_pair_gas\", \"parameters\": {\"temperature_k\": 300.0, \"pressure_kpa\": 30.5}}", "inside_answer": "{\"inputs\":{\"solver\":\"argon_pair_gas\",\"parameters\":{\"temperature_k\":300.0,\"pressure_kpa\":30.5}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":24,\"result\":{\"reduced_temperature\":2.5140367049358923e0,\"reduced_temperature_hex\":\"40041cbf46a52565\",\"second_virial_cm3_per_mol\":-1.5051633610207151e1,\"second_virial_cm3_per_mol_hex\":\"c02e1a6fb8766da2\",\"second_virial_first_derivative_cm3_per_mol\":5.93889001351295e1,\"second_virial_first_derivative_cm3_per_mol_hex\":\"404db1c77ac8e545\",\"second_virial_second_derivative_cm3_per_mol\":-1.3658502474758515e2,\"second_virial_second_derivative_cm3_per_mol_hex\":\"c06112b885d1c753\",\"acoustic_virial_cm3_per_mol\":1.2659259693735656e1,\"acoustic_virial_cm3_per_mol_hex\":\"4029518a7c9054cc\",\"sound_speed_m_per_s\":3.2261769536832344e2,\"sound_speed_m_per_s_hex\":\"407429e21489dd70\",\"ideal_gas_sound_speed_m_per_s\":3.225927287063341e2,\"ideal_gas_sound_speed_m_per_s_hex\":\"4074297bd11891b0\",\"collision_integral_22\":1.0915651893421967e0,\"collision_integral_22_hex\":\"3ff1770d0f5ad41a\",\"collision_integral_23\":1.0101033369928571e0,\"collision_integral_23_hex\":\"3ff029621ddf6fc6\",\"viscosity_second_approximation_factor\":1.00248550846709e0,\"viscosity_second_approximation_factor_hex\":\"3ff00a2e3e994805\",\"viscosity_pa_s\":2.3330141765562663e-5,\"viscosity_pa_s_hex\":\"3ef876a32261e38c\"},\"invariants\":{\"virial_forms_residual_cm3_per_mol\":-5.463997014331317e-14,\"virial_forms_residual_cm3_per_mol_hex\":\"bd2ec2731742728e\",\"least_turning_point_margin\":1.1379916897702458e-8,\"least_turning_point_margin_hex\":\"3e48702cec000000\",\"collision_integral_rule_gap\":8.238509697082359e-10,\"collision_integral_rule_gap_hex\":\"3e0c4eab75c8aea1\"},\"field_sha256\":\"74775a11afbbd9d2a836e5dca5b64b1e01ab1317390492f72940e8e8c1903bce\",\"seal_parts\":{\"inputs\":\"893474a560b4c560f1c45013bf15d0d94355f7f0224f317479acfb04044092cc\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"23106ba5b8da9ccc4115d4ca9c87e1554db2112fc5c6912022f3c80d57884ac5\",\"invariants\":\"7e1246180b0e982c06f4cbb0bee04193e0d976356a71d2f2bda641689ec882d0\",\"field_sha256\":\"81ad68d1bb311b56b3049595ca47cb6802ebb1effdb99c63dbfcd8210d7d199e\",\"outcome\":\"04927186856a61a7b885a8cab361c00ed220b8677da01312e82a22174aca5b46\"},\"solution_seal\":\"eaea468f74c0ed9f27972c9cafb18baac48e6f9ea84b5adda06271da1cbb2053\",\"receipt_sha256\":\"d7957f18a39e455ec100aee4c84020d67bc69ceaa42593d684b005a6ef31738d\"}", "outside_request": "{\"solver\": \"argon_pair_gas\", \"parameters\": {\"temperature_k\": 300.0, \"pressure_kpa\": 30.499999999999996}}", "outside_answer": "Physical Violation: pressure 30.499999999999996 kPa is above zero and outside 30.5..=467.2 kPa, the pressures at which the speed of sound was compared with measurement; the viscosity was compared at zero pressure only (PressureNotCompared).", "outside_answer_is_error": true}
{"id": "edge-3a8b7a3602f6", "model": "argon_pair_gas", "solver": "argon_pair_gas", "tool": "solve", "specimen": "Argon gas at low density from one Lennard-Jones pair potential whose two constants are fitted to the measured speed of sound in argon: second virial coefficient, speed of sound and viscosity at zero density. Each property is answered where it was compared: the speed of sound from 250 K to 349.868 K at 30.5 kPa to 467.2 kPa, the viscosity from 291.09 K to 681.96 K at zero pressure; elsewhere the solver refuses by name.", "base": "example_solve", "input": "parameters.pressure_kpa", "input_unit": "kPa", "whole_number_input": false, "base_value": 101.325, "edge_kind": "declared_limit", "direction": "up", "inside_value": 467.2, "inside_value_hex": "407d333333333333", "outside_value": 467.20000000000005, "outside_value_hex": "407d333333333334", "width": 5.684341886080802e-14, "adjacent_64_bit_numbers": true, "stop_name": "PressureNotCompared", "stop_sentence": "Physical Violation: pressure 467.20000000000005 kPa is above zero and outside 30.5..=467.2 kPa, the pressures at which the speed of sound was compared with measurement; the viscosity was compared at zero pressure only (PressureNotCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 24, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "f9e3e593134429756258e0437a42a0e0fca111b3187011ac228e648c14e45af0", "outside_proof": null, "inside_receipt": "1c8ee23b423fff3c632af7d0aee5af8313a5ce09dc9828a41252fbbb8fb1b0bd", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:43:18Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"argon_pair_gas\", \"parameters\": {\"temperature_k\": 300.0, \"pressure_kpa\": 467.2}}", "inside_answer": "{\"inputs\":{\"solver\":\"argon_pair_gas\",\"parameters\":{\"temperature_k\":300.0,\"pressure_kpa\":467.2}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":24,\"result\":{\"reduced_temperature\":2.5140367049358923e0,\"reduced_temperature_hex\":\"40041cbf46a52565\",\"second_virial_cm3_per_mol\":-1.5051633610207151e1,\"second_virial_cm3_per_mol_hex\":\"c02e1a6fb8766da2\",\"second_virial_first_derivative_cm3_per_mol\":5.93889001351295e1,\"second_virial_first_derivative_cm3_per_mol_hex\":\"404db1c77ac8e545\",\"second_virial_second_derivative_cm3_per_mol\":-1.3658502474758515e2,\"second_virial_second_derivative_cm3_per_mol_hex\":\"c06112b885d1c753\",\"acoustic_virial_cm3_per_mol\":1.2659259693735656e1,\"acoustic_virial_cm3_per_mol_hex\":\"4029518a7c9054cc\",\"sound_speed_m_per_s\":3.229749572081145e2,\"sound_speed_m_per_s_hex\":\"40742f996cbabd9f\",\"ideal_gas_sound_speed_m_per_s\":3.225927287063341e2,\"ideal_gas_sound_speed_m_per_s_hex\":\"4074297bd11891b0\",\"collision_integral_22\":1.0915651893421967e0,\"collision_integral_22_hex\":\"3ff1770d0f5ad41a\",\"collision_integral_23\":1.0101033369928571e0,\"collision_integral_23_hex\":\"3ff029621ddf6fc6\",\"viscosity_second_approximation_factor\":1.00248550846709e0,\"viscosity_second_approximation_factor_hex\":\"3ff00a2e3e994805\",\"viscosity_pa_s\":2.3330141765562663e-5,\"viscosity_pa_s_hex\":\"3ef876a32261e38c\"},\"invariants\":{\"virial_forms_residual_cm3_per_mol\":-5.463997014331317e-14,\"virial_forms_residual_cm3_per_mol_hex\":\"bd2ec2731742728e\",\"least_turning_point_margin\":1.1379916897702458e-8,\"least_turning_point_margin_hex\":\"3e48702cec000000\",\"collision_integral_rule_gap\":8.238509697082359e-10,\"collision_integral_rule_gap_hex\":\"3e0c4eab75c8aea1\"},\"field_sha256\":\"74775a11afbbd9d2a836e5dca5b64b1e01ab1317390492f72940e8e8c1903bce\",\"seal_parts\":{\"inputs\":\"07febbab713de463042980bbe5a517f249709f4e10dccadaad1655a482d0d792\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"31f416467500d82c6cf867256a9c48a76af23e9dd152cfccdb1f2b51dccf96e2\",\"invariants\":\"7e1246180b0e982c06f4cbb0bee04193e0d976356a71d2f2bda641689ec882d0\",\"field_sha256\":\"81ad68d1bb311b56b3049595ca47cb6802ebb1effdb99c63dbfcd8210d7d199e\",\"outcome\":\"04927186856a61a7b885a8cab361c00ed220b8677da01312e82a22174aca5b46\"},\"solution_seal\":\"f9e3e593134429756258e0437a42a0e0fca111b3187011ac228e648c14e45af0\",\"receipt_sha256\":\"1c8ee23b423fff3c632af7d0aee5af8313a5ce09dc9828a41252fbbb8fb1b0bd\"}", "outside_request": "{\"solver\": \"argon_pair_gas\", \"parameters\": {\"temperature_k\": 300.0, \"pressure_kpa\": 467.20000000000005}}", "outside_answer": "Physical Violation: pressure 467.20000000000005 kPa is above zero and outside 30.5..=467.2 kPa, the pressures at which the speed of sound was compared with measurement; the viscosity was compared at zero pressure only (PressureNotCompared).", "outside_answer_is_error": true}
{"id": "edge-54489c948bc6", "model": "atom_dft", "solver": "atom_dft", "tool": "solve", "specimen": "Spin-unpolarized, non-relativistic local-density ground state of one spherical neutral atom, atomic number 1 through 18: total energy, its four parts, and each orbital eigenvalue. It reproduces the NIST spin-unpolarized LDA tables and is not the measured energy of the atom.", "base": "example_solve", "input": "parameters.atomic_number", "input_unit": null, "whole_number_input": true, "base_value": 10.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 1.0, "inside_value_hex": "3ff0000000000000", "outside_value": 0.0, "outside_value_hex": "0000000000000000", "width": 1.0, "adjacent_64_bit_numbers": false, "stop_name": "AtomicNumberOutOfRange", "stop_sentence": "Physical Violation: atomic number 0 is outside 1 to 18 (AtomicNumberOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 24, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "f6d09022fa66371d9365b87be9ba7d65b616aab20ede140ed8a325a1a30c8dff", "outside_proof": null, "inside_receipt": "2a990e9d570d6f47a6143499b9f65074851178035f42f0d7195d1addae70466c", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:43:20Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"atom_dft\", \"parameters\": {\"atomic_number\": 1}}", "inside_answer": "{\"inputs\":{\"solver\":\"atom_dft\",\"parameters\":{\"atomic_number\":1}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":24,\"result\":{\"total_energy_ha\":-4.4567051824307014e-1,\"total_energy_ha_hex\":\"bfdc85dda3294d8a\",\"kinetic_energy_ha\":4.2502722409346233e-1,\"kinetic_energy_ha_hex\":\"3fdb33a562d90785\",\"electron_nucleus_energy_ha\":-9.209992157407262e-1,\"electron_nucleus_energy_ha_hex\":\"bfed78d358e7f02b\",\"hartree_energy_ha\":2.828268917421695e-1,\"hartree_energy_ha_hex\":\"3fd219d5f69d9099\",\"exchange_correlation_energy_ha\":-2.3252541833797577e-1,\"exchange_correlation_energy_ha_hex\":\"bfcdc36495a00aa3\",\"eigenvalue_1s_ha\":-2.3347099972664037e-1,\"eigenvalue_1s_ha_hex\":\"bfcde260b231f6d6\",\"occupation_1s\":1.0e0,\"occupation_1s_hex\":\"3ff0000000000000\"},\"invariants\":{\"electron_count\":9.999999999999979e-1,\"electron_count_hex\":\"3fefffffffffffed\",\"virial_residual_ha\":3.90635271352302e-9,\"virial_residual_ha_hex\":\"3e30c7148a000000\"},\"field_sha256\":\"820405f98bc62421b5b41e2633527c0cee46290af13505a898900449f36cd77b\",\"seal_parts\":{\"inputs\":\"c9b4fa3ff898d0dead7f28184283950a3e9d8c8be6548c2154e952809a2e8f25\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"67b88f601cd3ae80f299527fbab468879b2f1ffc1a44957c9103d249ac092690\",\"invariants\":\"d3c1ad9f0980fe662a516a0c22ed4c21991ed69dd748146ec3a32421b62364fc\",\"field_sha256\":\"17744ca5b58928de70fac32d66fb658d0ad3d43ef8062771ecd4fe5b66723e6e\",\"outcome\":\"04927186856a61a7b885a8cab361c00ed220b8677da01312e82a22174aca5b46\"},\"solution_seal\":\"f6d09022fa66371d9365b87be9ba7d65b616aab20ede140ed8a325a1a30c8dff\",\"receipt_sha256\":\"2a990e9d570d6f47a6143499b9f65074851178035f42f0d7195d1addae70466c\"}", "outside_request": "{\"solver\": \"atom_dft\", \"parameters\": {\"atomic_number\": 0}}", "outside_answer": "Physical Violation: atomic number 0 is outside 1 to 18 (AtomicNumberOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-8fb567812e7d", "model": "atom_dft", "solver": "atom_dft", "tool": "solve", "specimen": "Spin-unpolarized, non-relativistic local-density ground state of one spherical neutral atom, atomic number 1 through 18: total energy, its four parts, and each orbital eigenvalue. It reproduces the NIST spin-unpolarized LDA tables and is not the measured energy of the atom.", "base": "example_solve", "input": "parameters.atomic_number", "input_unit": null, "whole_number_input": true, "base_value": 10.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 18.0, "inside_value_hex": "4032000000000000", "outside_value": 19.0, "outside_value_hex": "4033000000000000", "width": 1.0, "adjacent_64_bit_numbers": false, "stop_name": "AtomicNumberOutOfRange", "stop_sentence": "Physical Violation: atomic number 19 is outside 1 to 18 (AtomicNumberOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 33, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "61ec76b32532008a26993b709d0c0511b5d1df8b5bdbd415b5d11cb4c9898ac4", "outside_proof": null, "inside_receipt": "07c559f19cd7a6893a30a02dcb901fa534df5f217fd7a1d453d4ddfcf860a90d", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:43:22Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"atom_dft\", \"parameters\": {\"atomic_number\": 18}}", "inside_answer": "{\"inputs\":{\"solver\":\"atom_dft\",\"parameters\":{\"atomic_number\":18}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":33,\"result\":{\"total_energy_ha\":-5.259461949244585e2,\"total_energy_ha_hex\":\"c0806f91cea50186\",\"kinetic_energy_ha\":5.24969814297253e2,\"kinetic_energy_ha_hex\":\"408067c22dff8f29\",\"electron_nucleus_energy_ha\":-1.253131985205448e3,\"electron_nucleus_energy_ha_hex\":\"c0939487272133d2\",\"hartree_energy_ha\":2.3145812476533936e2,\"hartree_energy_ha_hex\":\"406ceea8f54493d9\",\"exchange_correlation_energy_ha\":-2.9242148781602886e1,\"exchange_correlation_energy_ha_hex\":\"c03d3dfd7669c02a\",\"eigenvalue_1s_ha\":-1.1380013345544194e2,\"eigenvalue_1s_ha_hex\":\"c05c733562f3e3c0\",\"occupation_1s\":2.0e0,\"occupation_1s_hex\":\"4000000000000000\",\"eigenvalue_2s_ha\":-1.0794172107263975e1,\"eigenvalue_2s_ha_hex\":\"c025969db9f83038\",\"occupation_2s\":2.0e0,\"occupation_2s_hex\":\"4000000000000000\",\"eigenvalue_2p_ha\":-8.443438979850674e0,\"eigenvalue_2p_ha_hex\":\"c020e30a6f1875e3\",\"occupation_2p\":6.0e0,\"occupation_2p_hex\":\"4018000000000000\",\"eigenvalue_3s_ha\":-8.833838644379657e-1,\"eigenvalue_3s_ha_hex\":\"bfec44ae3cf267b6\",\"occupation_3s\":2.0e0,\"occupation_3s_hex\":\"4000000000000000\",\"eigenvalue_3p_ha\":-3.823298996777714e-1,\"eigenvalue_3p_ha_hex\":\"bfd87817d3d9890a\",\"occupation_3p\":6.0e0,\"occupation_3p_hex\":\"4018000000000000\"},\"invariants\":{\"electron_count\":1.800000000000004e1,\"electron_count_hex\":\"403200000000000b\",\"virial_residual_ha\":2.251671051389792e-6,\"virial_residual_ha_hex\":\"3ec2e36d40600000\"},\"field_sha256\":\"f5e161221df0d54e16cef969df6852881cab6e0964ed06de56eff5d2dc450d8d\",\"seal_parts\":{\"inputs\":\"2773cbf78d501451e98515c93d8f3ee44031df195bc53e5babab27b23bce0151\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"2d9a7466ffc865014175a6e5d360b7223d5ef351fc299b157480159e08699872\",\"invariants\":\"5f68da74a30182f1763769a73fd4345e98a84ad6de571733bb9628113d2743bb\",\"field_sha256\":\"204511547ec2dd3a1bbb89c3298ca04f851ff1cdd06ef83e5a10350f7a3625dc\",\"outcome\":\"8bceaca7a5f336d930f3669e49c8de3727ec76a38d46de5a416ad2bf7f7115c3\"},\"solution_seal\":\"61ec76b32532008a26993b709d0c0511b5d1df8b5bdbd415b5d11cb4c9898ac4\",\"receipt_sha256\":\"07c559f19cd7a6893a30a02dcb901fa534df5f217fd7a1d453d4ddfcf860a90d\"}", "outside_request": "{\"solver\": \"atom_dft\", \"parameters\": {\"atomic_number\": 19}}", "outside_answer": "Physical Violation: atomic number 19 is outside 1 to 18 (AtomicNumberOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-b07fe15a32f8", "model": "culture_trichoderma_ambr250", "solver": "culture_trichoderma_ambr250", "tool": "solve", "specimen": "One fed-batch culture of the fungus Trichoderma sp. VTT D-221704 in an ambr 250 vessel at pH 4.0 and 35 °C, turning D-galacturonate into mucic acid: biomass, glucose, galacturonate, mucic acid, carbon dioxide made and oxygen taken up at the end of every segment of the caller's feeding record, with carbon and electrons closed; six constants are fitted to this organism's own measurements, at a feed of 29.4 to 34.7 g/L glucose; on four held-back cultures fed 10 and 50 g/L it met three of its six lines and missed three (galacturonate, mucic acid and carbon dioxide), a second scoring confirmed it, and it is not validated against measurement. Since then it refuses by name a feed outside the fitted 29.375 to 34.676 g/L glucose and a record longer than 215 h, so the four held-back questions are refused today, and since 0.7.0 a starting biomass, glucose or galacturonate, a feed schedule, water, sample or broth volume outside the fitted cultures' own.", "base": "example_solve", "input": "parameters.biomass_g_per_l", "input_unit": "g/L", "whole_number_input": false, "base_value": 0.9, "edge_kind": "declared_limit", "direction": "down", "inside_value": 0.6, "inside_value_hex": "3fe3333333333333", "outside_value": 0.5999999999999999, "outside_value_hex": "3fe3333333333332", "width": 1.1102230246251565e-16, "adjacent_64_bit_numbers": true, "stop_name": "BiomassOutOfRange", "stop_sentence": "Physical Violation: 'biomass_g_per_l' 0.5999999999999999 is outside 0.6 to 1.034 g/L (BiomassOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "66cbb5f3a83729ef6f1fcd44c4eb3003760270e2e5bbb1147c20adbe75db4054", "outside_proof": null, "inside_receipt": "e25c54a7bfabb87ca68285d0cff6175f132e0a649252ef5ab5621a36ded83eaa", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:43:25Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.6, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "inside_answer": "{\"inputs\":{\"solver\":\"culture_trichoderma_ambr250\",\"parameters\":{\"biomass_g_per_l\":0.6,\"glucose_g_per_l\":20.8,\"galacturonate_g_per_l\":4.6,\"feed_glucose_g_per_l\":32.0,\"feed_galacturonate_g_per_l\":94.0,\"segment_end_h\":[22.0,44.0,68.0],\"feed_ml\":[0.0,4.4,7.2],\"water_ml\":[-2.0,-1.0,0.5],\"sample_ml\":[4.3,4.3,4.3]}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"biomass_g_per_l\":[1.784879993904171e0,5.037374885832807e0,8.88663169144583e0],\"biomass_g_per_l_hex\":[\"3ffc8ede5311a646\",\"401426459a215fe3\",\"4021c5f496ccb6c9\"],\"glucose_g_per_l\":[1.814327517270192e1,1.0304814127121952e1,8.345048397092944e-3],\"glucose_g_per_l_hex\":[\"403224adae851560\",\"40249c1098e6b1f5\",\"3f8117356f97a845\"],\"galacturonate_g_per_l\":[4.547626945461746e0,7.759831222347619e0,9.137669646794354e0],\"galacturonate_g_per_l_hex\":[\"401230c51e34aa93\",\"401f0a113229d9d5\",\"4022467ca2cd446a\"],\"mucic_acid_g_per_l\":[1.471523531205405e-1,6.829570980518006e-1,5.135057698483218e0],\"mucic_acid_g_per_l_hex\":[\"3fc2d5e36817512f\",\"3fe5dac8d8168379\",\"40148a4c90b83bda\"],\"volume_ml\":[1.0800000000001354e2,1.0710000000000029e2,1.1050000000001077e2],\"volume_ml_hex\":[\"405b0000000003b9\",\"405ac6666666667b\",\"405ba000000002f6\"],\"carbon_dioxide_mol\":[5.79363380708353e-3,2.2000143985582945e-2,4.6224338616093354e-2],\"carbon_dioxide_mol_hex\":[\"3f77bb10bb9f6e7e\",\"3f968734abb39427\",\"3fa7aab76d454cb5\"],\"oxygen_mol\":[5.572896219535055e-3,2.119352913006515e-2,4.562942708378376e-2],\"oxygen_mol_hex\":[\"3f76d39af01c4885\",\"3f95b3c1aa0076ca\",\"3fa75cbd821ec138\"],\"carbon_supplied_mol\":1.4058401758103312e-1,\"carbon_supplied_mol_hex\":\"3fc1fea836ece7e0\"},\"invariants\":{\"carbon_residual\":1.2391690438019604e-13,\"carbon_residual_hex\":\"3d417093b5f3f7d3\",\"electron_residual\":1.2377744063254976e-13,\"electron_residual_hex\":\"3d416b8d627d40cf\",\"settle_gap\":1.1229861485162473e-10,\"settle_gap_hex\":\"3ddede5000000000\"},\"field_sha256\":\"4a0ab60b19a77e60be71335e4ff01e18ce686a54579bca614ddce5191c5a2d66\",\"seal_parts\":{\"inputs\":\"4b6591fea168ca4af0821e5a406b8628f52369f848849d2eaf2129117f3cf156\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"d59e500cfc4082e75a6a92a6b056d01b6e1c0d0177c5cb15ae166453a6660b1b\",\"invariants\":\"be01e3f278eb111afcb09ff82ccc197ae4a11eebe6ab662990f54b86cb794812\",\"field_sha256\":\"71ce5a6c7c3fc64389bb93f1a8d9941e3830405ede8e7a55e1785bcde39afa1e\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"66cbb5f3a83729ef6f1fcd44c4eb3003760270e2e5bbb1147c20adbe75db4054\",\"receipt_sha256\":\"e25c54a7bfabb87ca68285d0cff6175f132e0a649252ef5ab5621a36ded83eaa\"}", "outside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.5999999999999999, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "outside_answer": "Physical Violation: 'biomass_g_per_l' 0.5999999999999999 is outside 0.6 to 1.034 g/L (BiomassOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-a3eacf0ccee9", "model": "culture_trichoderma_ambr250", "solver": "culture_trichoderma_ambr250", "tool": "solve", "specimen": "One fed-batch culture of the fungus Trichoderma sp. VTT D-221704 in an ambr 250 vessel at pH 4.0 and 35 °C, turning D-galacturonate into mucic acid: biomass, glucose, galacturonate, mucic acid, carbon dioxide made and oxygen taken up at the end of every segment of the caller's feeding record, with carbon and electrons closed; six constants are fitted to this organism's own measurements, at a feed of 29.4 to 34.7 g/L glucose; on four held-back cultures fed 10 and 50 g/L it met three of its six lines and missed three (galacturonate, mucic acid and carbon dioxide), a second scoring confirmed it, and it is not validated against measurement. Since then it refuses by name a feed outside the fitted 29.375 to 34.676 g/L glucose and a record longer than 215 h, so the four held-back questions are refused today, and since 0.7.0 a starting biomass, glucose or galacturonate, a feed schedule, water, sample or broth volume outside the fitted cultures' own.", "base": "example_solve", "input": "parameters.biomass_g_per_l", "input_unit": "g/L", "whole_number_input": false, "base_value": 0.9, "edge_kind": "declared_limit", "direction": "up", "inside_value": 1.034, "inside_value_hex": "3ff08b4395810625", "outside_value": 1.0340000000000003, "outside_value_hex": "3ff08b4395810626", "width": 2.220446049250313e-16, "adjacent_64_bit_numbers": true, "stop_name": "BiomassOutOfRange", "stop_sentence": "Physical Violation: 'biomass_g_per_l' 1.0340000000000003 is outside 0.6 to 1.034 g/L (BiomassOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "166b81faceec45cac98301b6475884db1b27a510c31f1364f0960836a1d84fef", "outside_proof": null, "inside_receipt": "5c41171d3ddf48af3dc9ee156ca45ba0f9b79e0e9f705d8a660458d88265dddb", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:43:27Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 1.034, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "inside_answer": "{\"inputs\":{\"solver\":\"culture_trichoderma_ambr250\",\"parameters\":{\"biomass_g_per_l\":1.034,\"glucose_g_per_l\":20.8,\"galacturonate_g_per_l\":4.6,\"feed_glucose_g_per_l\":32.0,\"feed_galacturonate_g_per_l\":94.0,\"segment_end_h\":[22.0,44.0,68.0],\"feed_ml\":[0.0,4.4,7.2],\"water_ml\":[-2.0,-1.0,0.5],\"sample_ml\":[4.3,4.3,4.3]}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"biomass_g_per_l\":[3.075015727854189e0,8.62366205492588e0,8.976347827623291e0],\"biomass_g_per_l_hex\":[\"400899a1d88e8e16\",\"40213f50a203535c\",\"4021f3e3dcca534b\"],\"glucose_g_per_l\":[1.5945246100150587e1,2.1115055284938475e0,8.254739478375723e-3],\"glucose_g_per_l_hex\":[\"402fe3f74bfda2fa\",\"4000e45d02b1a259\",\"3f80e7dc60c5e2b7\"],\"galacturonate_g_per_l\":[4.436257360531118e0,6.85136766116598e0,6.268081985237229e0],\"galacturonate_g_per_l_hex\":[\"4011beba3fe07b53\",\"401b67ccec9651d0\",\"40191284157cf66e\"],\"mucic_acid_g_per_l\":[2.662895020223437e-1,1.6547822029740444e0,8.204787128961469e0],\"mucic_acid_g_per_l_hex\":[\"3fd10ae31f9d0fd8\",\"3ffa79fce73c6bf3\",\"402068d9dbcb0fff\"],\"volume_ml\":[1.0800000000001354e2,1.0710000000000029e2,1.1050000000001077e2],\"volume_ml_hex\":[\"405b0000000003b9\",\"405ac6666666667b\",\"405ba000000002f6\"],\"carbon_dioxide_mol\":[9.980675676184561e-3,3.767672991856775e-2,4.851432480439739e-2],\"carbon_dioxide_mol_hex\":[\"3f8470bf9cf83548\",\"3fa34a5d45a41511\",\"3fa8d6de9cd845e9\"],\"oxygen_mol\":[9.60366035481655e-3,3.641817757644235e-2,4.875256581682554e-2],\"oxygen_mol_hex\":[\"3f83ab15792aa84f\",\"3fa2a56743576b4a\",\"3fa8f618a78f0763\"],\"carbon_supplied_mol\":1.4252466798753718e-1,\"carbon_supplied_mol_hex\":\"3fc23e3f91f09b01\"},\"invariants\":{\"carbon_residual\":1.181149750480092e-13,\"carbon_residual_hex\":\"3d409f8a5ba55687\",\"electron_residual\":1.185892625959255e-13,\"electron_residual_hex\":\"3d40b0a0e374a309\",\"settle_gap\":1.2351364375717822e-10,\"settle_gap_hex\":\"3de0f9c000000000\"},\"field_sha256\":\"2811df9ee0b04308f8cd46175f00efde6d03f110aeb6d89a0b69b2a2145b87a5\",\"seal_parts\":{\"inputs\":\"4165382f367076f10f4a27622ca02e597937fd5931cd9259926270d915b1ff80\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"62119467efc8ef8cae107de3dc7027ebc86143d776d53d04c9b322dd9bd4815e\",\"invariants\":\"c1bfb4d6d397e4a7cb5ad24ddeeca3032c3291b9e84bc6a8d71e5937bb62f092\",\"field_sha256\":\"77e7f7752bd61f3a35dd379a68997313895cc3e8c97c2d5ab1e642fb7ca6bc25\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"166b81faceec45cac98301b6475884db1b27a510c31f1364f0960836a1d84fef\",\"receipt_sha256\":\"5c41171d3ddf48af3dc9ee156ca45ba0f9b79e0e9f705d8a660458d88265dddb\"}", "outside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 1.0340000000000003, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "outside_answer": "Physical Violation: 'biomass_g_per_l' 1.0340000000000003 is outside 0.6 to 1.034 g/L (BiomassOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-6ede9c5b3498", "model": "culture_trichoderma_ambr250", "solver": "culture_trichoderma_ambr250", "tool": "solve", "specimen": "One fed-batch culture of the fungus Trichoderma sp. VTT D-221704 in an ambr 250 vessel at pH 4.0 and 35 °C, turning D-galacturonate into mucic acid: biomass, glucose, galacturonate, mucic acid, carbon dioxide made and oxygen taken up at the end of every segment of the caller's feeding record, with carbon and electrons closed; six constants are fitted to this organism's own measurements, at a feed of 29.4 to 34.7 g/L glucose; on four held-back cultures fed 10 and 50 g/L it met three of its six lines and missed three (galacturonate, mucic acid and carbon dioxide), a second scoring confirmed it, and it is not validated against measurement. Since then it refuses by name a feed outside the fitted 29.375 to 34.676 g/L glucose and a record longer than 215 h, so the four held-back questions are refused today, and since 0.7.0 a starting biomass, glucose or galacturonate, a feed schedule, water, sample or broth volume outside the fitted cultures' own.", "base": "example_solve", "input": "parameters.glucose_g_per_l", "input_unit": "g/L", "whole_number_input": false, "base_value": 20.8, "edge_kind": "declared_limit", "direction": "down", "inside_value": 20.097, "inside_value_hex": "403418d4fdf3b646", "outside_value": 20.096999999999998, "outside_value_hex": "403418d4fdf3b645", "width": 3.552713678800501e-15, "adjacent_64_bit_numbers": true, "stop_name": "GlucoseOutOfRange", "stop_sentence": "Physical Violation: 'glucose_g_per_l' 20.096999999999998 is outside 20.097 to 21.025 g/L (GlucoseOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "5b85ce43d51390b4b052e85258033ba06495fe9285efc60a0600c70b00637b04", "outside_proof": null, "inside_receipt": "e76b7dd0f017226acae19bd4f99c55b525539adce0853fa500d30fca0f46fb0c", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:43:28Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.097, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "inside_answer": "{\"inputs\":{\"solver\":\"culture_trichoderma_ambr250\",\"parameters\":{\"biomass_g_per_l\":0.9,\"glucose_g_per_l\":20.097,\"galacturonate_g_per_l\":4.6,\"feed_glucose_g_per_l\":32.0,\"feed_galacturonate_g_per_l\":94.0,\"segment_end_h\":[22.0,44.0,68.0],\"feed_ml\":[0.0,4.4,7.2],\"water_ml\":[-2.0,-1.0,0.5],\"sample_ml\":[4.3,4.3,4.3]}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"biomass_g_per_l\":[2.6761532235562706e0,7.522663683388453e0,8.683494486571538e0],\"biomass_g_per_l_hex\":[\"400568c3057212c2\",\"401e1735260bd75a\",\"40215df2fd45a463\"],\"glucose_g_per_l\":[1.5909190109730778e1,3.932831478137149e0,8.557018997305163e-3],\"glucose_g_per_l_hex\":[\"402fd1815db647db\",\"400f7670599a3a27\",\"3f818657a5f518e5\"],\"galacturonate_g_per_l\":[4.465166939809546e0,7.157509601178563e0,7.017125751262422e0],\"galacturonate_g_per_l_hex\":[\"4011dc54b8e6a64c\",\"401ca14a326778c3\",\"401c118969b65dbb\"],\"mucic_acid_g_per_l\":[2.3536360018542116e-1,1.3272881397153429e0,7.403500684888822e0],\"mucic_acid_g_per_l_hex\":[\"3fce2064fabb8bc9\",\"3ff53c927d072321\",\"401d9d2f48960b5c\"],\"volume_ml\":[1.0800000000001354e2,1.0710000000000029e2,1.1050000000001077e2],\"volume_ml_hex\":[\"405b0000000003b9\",\"405ac6666666667b\",\"405ba000000002f6\"],\"carbon_dioxide_mol\":[8.685717917261243e-3,3.2861958436149044e-2,4.663010348832071e-2],\"carbon_dioxide_mol_hex\":[\"3f81c9d1532ce37d\",\"3fa0d34859881332\",\"3fa7dfe6a2fb9d1a\"],\"oxygen_mol\":[8.358539442720412e-3,3.1734812212516776e-2,4.6707998327247244e-2],\"oxygen_mol_hex\":[\"3f811e482c63f69f\",\"3fa03f8b9931e667\",\"3fa7ea1c5a8de68e\"],\"carbon_supplied_mol\":1.393500463723408e-1,\"carbon_supplied_mol_hex\":\"3fc1d638e9eec1bb\"},\"invariants\":{\"carbon_residual\":1.1945673774110882e-13,\"carbon_residual_hex\":\"3d40cfe1ef3b1474\",\"electron_residual\":1.1925869443762783e-13,\"electron_residual_hex\":\"3d40c8bf4eb39705\",\"settle_gap\":1.0489387136658479e-10,\"settle_gap_hex\":\"3ddcd54000000000\"},\"field_sha256\":\"9735f574a00850fba6361fb1a9dbd52482ad8e0f727ed0d5e1c5b8c52fad78be\",\"seal_parts\":{\"inputs\":\"de23be824258a6ab0831f4de6c07cde34f33c6fdad4e38db156de3b6ee3c6edc\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"6df1f6f622bbaa0ad3afd2589f8f7ffbd659977344f45cbaf83abe1b9eba7204\",\"invariants\":\"eed6c25642d896067b3c3f2b4a432a5ab6f64d15649587dec7b15a84b1b2f3b0\",\"field_sha256\":\"89d249a7f25190d4b84248089e896e312d3c8aa90d0cc08cdf4827d2bf3dd2a1\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"5b85ce43d51390b4b052e85258033ba06495fe9285efc60a0600c70b00637b04\",\"receipt_sha256\":\"e76b7dd0f017226acae19bd4f99c55b525539adce0853fa500d30fca0f46fb0c\"}", "outside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.096999999999998, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "outside_answer": "Physical Violation: 'glucose_g_per_l' 20.096999999999998 is outside 20.097 to 21.025 g/L (GlucoseOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-0331e36074ca", "model": "culture_trichoderma_ambr250", "solver": "culture_trichoderma_ambr250", "tool": "solve", "specimen": "One fed-batch culture of the fungus Trichoderma sp. VTT D-221704 in an ambr 250 vessel at pH 4.0 and 35 °C, turning D-galacturonate into mucic acid: biomass, glucose, galacturonate, mucic acid, carbon dioxide made and oxygen taken up at the end of every segment of the caller's feeding record, with carbon and electrons closed; six constants are fitted to this organism's own measurements, at a feed of 29.4 to 34.7 g/L glucose; on four held-back cultures fed 10 and 50 g/L it met three of its six lines and missed three (galacturonate, mucic acid and carbon dioxide), a second scoring confirmed it, and it is not validated against measurement. Since then it refuses by name a feed outside the fitted 29.375 to 34.676 g/L glucose and a record longer than 215 h, so the four held-back questions are refused today, and since 0.7.0 a starting biomass, glucose or galacturonate, a feed schedule, water, sample or broth volume outside the fitted cultures' own.", "base": "example_solve", "input": "parameters.glucose_g_per_l", "input_unit": "g/L", "whole_number_input": false, "base_value": 20.8, "edge_kind": "declared_limit", "direction": "up", "inside_value": 21.025, "inside_value_hex": "4035066666666666", "outside_value": 21.025000000000002, "outside_value_hex": "4035066666666667", "width": 3.552713678800501e-15, "adjacent_64_bit_numbers": true, "stop_name": "GlucoseOutOfRange", "stop_sentence": "Physical Violation: 'glucose_g_per_l' 21.025000000000002 is outside 20.097 to 21.025 g/L (GlucoseOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "bba0cbc5208ac434a79343c951c955693a856eb1463d430ade6efc5243e8d707", "outside_proof": null, "inside_receipt": "ecc5a47eb7e74486ac48a12e50334567eb716be5b7f8cda702c98f9f36ce5f4f", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:43:30Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 21.025, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "inside_answer": "{\"inputs\":{\"solver\":\"culture_trichoderma_ambr250\",\"parameters\":{\"biomass_g_per_l\":0.9,\"glucose_g_per_l\":21.025,\"galacturonate_g_per_l\":4.6,\"feed_glucose_g_per_l\":32.0,\"feed_galacturonate_g_per_l\":94.0,\"segment_end_h\":[22.0,44.0,68.0],\"feed_ml\":[0.0,4.4,7.2],\"water_ml\":[-2.0,-1.0,0.5],\"sample_ml\":[4.3,4.3,4.3]}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"biomass_g_per_l\":[2.6769648355635294e0,7.533638593672655e0,9.012230007130835e0],\"biomass_g_per_l_hex\":[\"40056a6c8a2a4c8c\",\"401e227227ced477\",\"4022064302f15046\"],\"glucose_g_per_l\":[1.6852358429935308e1,4.82074527203974e0,8.219165298570578e-3],\"glucose_g_per_l_hex\":[\"4030da34297d0ac4\",\"4013487172d7077b\",\"3f80d535b143217c\"],\"galacturonate_g_per_l\":[4.473909304055965e0,7.2328409896647345e0,6.992974639965195e0],\"galacturonate_g_per_l_hex\":[\"4011e5487b08c310\",\"401cee6dde4f1cfd\",\"401bf8ce5811a1ad\"],\"mucic_acid_g_per_l\":[2.2601149250158487e-1,1.246702701126848e0,7.429336235452809e0],\"mucic_acid_g_per_l_hex\":[\"3fccedf1d068401a\",\"3ff3f27e8812cb77\",\"401db7a3eb0907c1\"],\"volume_ml\":[1.0800000000001354e2,1.0710000000000029e2,1.1050000000001077e2],\"volume_ml_hex\":[\"405b0000000003b9\",\"405ac6666666667b\",\"405ba000000002f6\"],\"carbon_dioxide_mol\":[8.68906775877466e-3,3.290864703212542e-2,4.829097606898249e-2],\"carbon_dioxide_mol_hex\":[\"3f81cb92eeda7346\",\"3fa0d966f5846567\",\"3fa8b99845d0ff63\"],\"oxygen_mol\":[8.359364778851412e-3,3.1758961679674236e-2,4.8300669553095095e-2],\"oxygen_mol_hex\":[\"3f811eb6f2b958a2\",\"3fa042b5eb89c9d8\",\"3fa8badd8835fd11\"],\"carbon_supplied_mol\":1.4274976661479732e-1,\"carbon_supplied_mol_hex\":\"3fc2459fd58fa3d4\"},\"invariants\":{\"carbon_residual\":1.1927531391754013e-13,\"carbon_residual_hex\":\"3d40c9589856c6f6\",\"electron_residual\":1.1893258988573028e-13,\"electron_residual_hex\":\"3d40bcff86193f9f\",\"settle_gap\":1.2425704909446722e-10,\"settle_gap_hex\":\"3de113e800000000\"},\"field_sha256\":\"a94d2c5e5698b318b78b92227b962bd397097bce4b96c3b6e4ef340626ea9596\",\"seal_parts\":{\"inputs\":\"b71a2a6ddf1a498aa411090e431d78522417de4efc27a2c1baa4803ec922d01b\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"a633ecda4e653e61e85f8dbf05962c0fcc934ad22c411bf884ad907f1aae5335\",\"invariants\":\"b8b5b4d76e994cbaa27bd525355690ee8eb1fac3acefd7ee17cd1458f68c7d35\",\"field_sha256\":\"d64a94ad607a043a5456dd6dd1c2562689844f3130c8f93f46d52b89b37e9708\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"bba0cbc5208ac434a79343c951c955693a856eb1463d430ade6efc5243e8d707\",\"receipt_sha256\":\"ecc5a47eb7e74486ac48a12e50334567eb716be5b7f8cda702c98f9f36ce5f4f\"}", "outside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 21.025000000000002, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "outside_answer": "Physical Violation: 'glucose_g_per_l' 21.025000000000002 is outside 20.097 to 21.025 g/L (GlucoseOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-02c578df2e77", "model": "culture_trichoderma_ambr250", "solver": "culture_trichoderma_ambr250", "tool": "solve", "specimen": "One fed-batch culture of the fungus Trichoderma sp. VTT D-221704 in an ambr 250 vessel at pH 4.0 and 35 °C, turning D-galacturonate into mucic acid: biomass, glucose, galacturonate, mucic acid, carbon dioxide made and oxygen taken up at the end of every segment of the caller's feeding record, with carbon and electrons closed; six constants are fitted to this organism's own measurements, at a feed of 29.4 to 34.7 g/L glucose; on four held-back cultures fed 10 and 50 g/L it met three of its six lines and missed three (galacturonate, mucic acid and carbon dioxide), a second scoring confirmed it, and it is not validated against measurement. Since then it refuses by name a feed outside the fitted 29.375 to 34.676 g/L glucose and a record longer than 215 h, so the four held-back questions are refused today, and since 0.7.0 a starting biomass, glucose or galacturonate, a feed schedule, water, sample or broth volume outside the fitted cultures' own.", "base": "example_solve", "input": "parameters.galacturonate_g_per_l", "input_unit": "g/L", "whole_number_input": false, "base_value": 4.6, "edge_kind": "declared_limit", "direction": "down", "inside_value": 4.146, "inside_value_hex": "401095810624dd2f", "outside_value": 4.145999999999999, "outside_value_hex": "401095810624dd2e", "width": 8.881784197001252e-16, "adjacent_64_bit_numbers": true, "stop_name": "GalacturonateOutOfRange", "stop_sentence": "Physical Violation: 'galacturonate_g_per_l' 4.145999999999999 is outside 4.146 to 4.745 g/L (GalacturonateOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "5316b05fa08408f899167fc70162b8679106e3664f3c4a00a8b646b0350b4484", "outside_proof": null, "inside_receipt": "f9145bc0fdeb54e4801d14026bd1ebf8cbee0b4798b3c81ce50668a7fe119bbc", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:43:32Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.146, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "inside_answer": "{\"inputs\":{\"solver\":\"culture_trichoderma_ambr250\",\"parameters\":{\"biomass_g_per_l\":0.9,\"glucose_g_per_l\":20.8,\"galacturonate_g_per_l\":4.146,\"feed_glucose_g_per_l\":32.0,\"feed_galacturonate_g_per_l\":94.0,\"segment_end_h\":[22.0,44.0,68.0],\"feed_ml\":[0.0,4.4,7.2],\"water_ml\":[-2.0,-1.0,0.5],\"sample_ml\":[4.3,4.3,4.3]}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"biomass_g_per_l\":[2.6767753850875478e0,7.531176727086241e0,8.932443076933358e0],\"biomass_g_per_l_hex\":[\"40056a09368d82b6\",\"401e1feccabced49\",\"4021dd692dd19eeb\"],\"glucose_g_per_l\":[1.6623662565785207e1,4.6049736365670375e0,8.298688696991472e-3],\"glucose_g_per_l_hex\":[\"40309fa85993c973\",\"40126b7e357ffd8f\",\"3f80fee7246d1545\"],\"galacturonate_g_per_l\":[4.009707250312743e0,6.7686029683919955e0,6.584713322663816e0],\"galacturonate_g_per_l_hex\":[\"401009f0b28a825f\",\"401b130ca8136898\",\"401a56bf16d981a0\"],\"mucic_acid_g_per_l\":[2.279313079329328e-1,1.2643644337885143e0,7.420492264140547e0],\"mucic_acid_g_per_l_hex\":[\"3fcd2cda64a739cf\",\"3ff43ad633558e3d\",\"401dae95862ad18e\"],\"volume_ml\":[1.0800000000001354e2,1.0710000000000029e2,1.1050000000001077e2],\"volume_ml_hex\":[\"405b0000000003b9\",\"405ac6666666667b\",\"405ba000000002f6\"],\"carbon_dioxide_mol\":[8.688276156447017e-3,3.2898143911507825e-2,4.788860371646827e-2],\"carbon_dioxide_mol_hex\":[\"3f81cb28af9abd60\",\"3fa0d8068865e6f3\",\"3fa884dae5a06d7b\"],\"oxygen_mol\":[8.359096424958388e-3,3.175340951742887e-2,4.7914165377718636e-2],\"oxygen_mol_hex\":[\"3f811e92ee278a52\",\"3fa041fb9ed3e46d\",\"3fa888349a9ff7bf\"],\"carbon_supplied_mol\":1.4038205077299176e-1,\"carbon_supplied_mol_hex\":\"3fc1f809fe81f8fe\"},\"invariants\":{\"carbon_residual\":1.1785542657346166e-13,\"carbon_residual_hex\":\"3d40963072232d4c\",\"electron_residual\":1.1774114347753773e-13,\"electron_residual_hex\":\"3d4092125ece7915\",\"settle_gap\":1.191216014717611e-10,\"settle_gap_hex\":\"3de05f3800000000\"},\"field_sha256\":\"d354c48bef2f24f807381742c2dc709777ee73e0d8d976f9d858a0b76c502d8d\",\"seal_parts\":{\"inputs\":\"d327c0801984035045a871da3e9e8a30ec959821183090a1b2655b9e9fd3a40a\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"96a19db60cfbe6133f53b88b94025a225a9aad05ad959416acf23b7230517105\",\"invariants\":\"ccb46a0b274a8761e206ed6f706edfa60bb51cb4ccb0fada5c248755f8723274\",\"field_sha256\":\"cdb3e9d138d45a0843c7637f84e0714eac22c5af554e971015615ac5ad9f8694\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"5316b05fa08408f899167fc70162b8679106e3664f3c4a00a8b646b0350b4484\",\"receipt_sha256\":\"f9145bc0fdeb54e4801d14026bd1ebf8cbee0b4798b3c81ce50668a7fe119bbc\"}", "outside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.145999999999999, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "outside_answer": "Physical Violation: 'galacturonate_g_per_l' 4.145999999999999 is outside 4.146 to 4.745 g/L (GalacturonateOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-03fa33d3cfe9", "model": "culture_trichoderma_ambr250", "solver": "culture_trichoderma_ambr250", "tool": "solve", "specimen": "One fed-batch culture of the fungus Trichoderma sp. VTT D-221704 in an ambr 250 vessel at pH 4.0 and 35 °C, turning D-galacturonate into mucic acid: biomass, glucose, galacturonate, mucic acid, carbon dioxide made and oxygen taken up at the end of every segment of the caller's feeding record, with carbon and electrons closed; six constants are fitted to this organism's own measurements, at a feed of 29.4 to 34.7 g/L glucose; on four held-back cultures fed 10 and 50 g/L it met three of its six lines and missed three (galacturonate, mucic acid and carbon dioxide), a second scoring confirmed it, and it is not validated against measurement. Since then it refuses by name a feed outside the fitted 29.375 to 34.676 g/L glucose and a record longer than 215 h, so the four held-back questions are refused today, and since 0.7.0 a starting biomass, glucose or galacturonate, a feed schedule, water, sample or broth volume outside the fitted cultures' own.", "base": "example_solve", "input": "parameters.galacturonate_g_per_l", "input_unit": "g/L", "whole_number_input": false, "base_value": 4.6, "edge_kind": "declared_limit", "direction": "up", "inside_value": 4.745, "inside_value_hex": "4012fae147ae147b", "outside_value": 4.745000000000001, "outside_value_hex": "4012fae147ae147c", "width": 8.881784197001252e-16, "adjacent_64_bit_numbers": true, "stop_name": "GalacturonateOutOfRange", "stop_sentence": "Physical Violation: 'galacturonate_g_per_l' 4.745000000000001 is outside 4.146 to 4.745 g/L (GalacturonateOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "488c8a5e062baf6d1de163112b105aa45d0e1ac95b6391a3d2c6c2adf0ff9d58", "outside_proof": null, "inside_receipt": "324d0c7786b35b01c6c6b09a200211b6bd8b993873431f209bb25057f956703a", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:43:34Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.745, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "inside_answer": "{\"inputs\":{\"solver\":\"culture_trichoderma_ambr250\",\"parameters\":{\"biomass_g_per_l\":0.9,\"glucose_g_per_l\":20.8,\"galacturonate_g_per_l\":4.745,\"feed_glucose_g_per_l\":32.0,\"feed_galacturonate_g_per_l\":94.0,\"segment_end_h\":[22.0,44.0,68.0],\"feed_ml\":[0.0,4.4,7.2],\"water_ml\":[-2.0,-1.0,0.5],\"sample_ml\":[4.3,4.3,4.3]}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"biomass_g_per_l\":[2.6767753850875478e0,7.531176727086241e0,8.932443076933358e0],\"biomass_g_per_l_hex\":[\"40056a09368d82b6\",\"401e1feccabced49\",\"4021dd692dd19eeb\"],\"glucose_g_per_l\":[1.6623662565785207e1,4.6049736365670375e0,8.298688696991472e-3],\"glucose_g_per_l_hex\":[\"40309fa85993c973\",\"40126b7e357ffd8f\",\"3f80fee7246d1545\"],\"galacturonate_g_per_l\":[4.6194667703930135e0,7.358229250400215e0,7.130059256039965e0],\"galacturonate_g_per_l_hex\":[\"40127a557f3f2fdb\",\"401d6ed3a60bc211\",\"401c852e40ecef5a\"],\"mucic_acid_g_per_l\":[2.2828761086359367e-1,1.2655393268300388e0,7.425001272301092e0],\"mucic_acid_g_per_l_hex\":[\"3fcd3887475edcaa\",\"3ff43fa62a489707\",\"401db33388952a94\"],\"volume_ml\":[1.0800000000001354e2,1.0710000000000029e2,1.1050000000001077e2],\"volume_ml_hex\":[\"405b0000000003b9\",\"405ac6666666667b\",\"405ba000000002f6\"],\"carbon_dioxide_mol\":[8.688289163738507e-3,3.289818696293038e-2,4.788877435947149e-2],\"carbon_dioxide_mol_hex\":[\"3f81cb2a6e8815ee\",\"3fa0d807fa34fb45\",\"3fa884e09f705c32\"],\"oxygen_mol\":[8.35919882495318e-3,3.1753748440058405e-2,4.7915508765976264e-2],\"oxygen_mol_hex\":[\"3f811ea0ac976b84\",\"3fa04206fe26a2f0\",\"3fa88861ae3dfcce\"],\"carbon_supplied_mol\":1.424184267716319e-1,\"carbon_supplied_mol_hex\":\"3fc23ac45aaa7cae\"},\"invariants\":{\"carbon_residual\":1.188213105010276e-13,\"carbon_residual_hex\":\"3d40b8fd271491cf\",\"electron_residual\":1.187172831271661e-13,\"electron_residual_hex\":\"3d40b53dab637734\",\"settle_gap\":1.1928324994414652e-10,\"settle_gap_hex\":\"3de064e800000000\"},\"field_sha256\":\"4e62ad066bb0763eb9272b3e2ca67b8ec0d297b59b2e072df13d08fe1e47e8e6\",\"seal_parts\":{\"inputs\":\"654fc9cfcd5fe046a7338e1b08f4f422fb04fa024900b4f077322e85003bf494\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"30e43882133bf4fd274070e9dd2a1923ae94be5c755727d7e8f9c177196d0038\",\"invariants\":\"1fa1b89cc19773c0e5c90d42b5cb70e2197e9398d02eb6f0aea339e9888bb48c\",\"field_sha256\":\"841840becd61ce32bd69b7f9f39490f0005000dae9d0f4c257250dfb3f2b6086\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"488c8a5e062baf6d1de163112b105aa45d0e1ac95b6391a3d2c6c2adf0ff9d58\",\"receipt_sha256\":\"324d0c7786b35b01c6c6b09a200211b6bd8b993873431f209bb25057f956703a\"}", "outside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.745000000000001, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "outside_answer": "Physical Violation: 'galacturonate_g_per_l' 4.745000000000001 is outside 4.146 to 4.745 g/L (GalacturonateOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-396507944a76", "model": "culture_trichoderma_ambr250", "solver": "culture_trichoderma_ambr250", "tool": "solve", "specimen": "One fed-batch culture of the fungus Trichoderma sp. VTT D-221704 in an ambr 250 vessel at pH 4.0 and 35 °C, turning D-galacturonate into mucic acid: biomass, glucose, galacturonate, mucic acid, carbon dioxide made and oxygen taken up at the end of every segment of the caller's feeding record, with carbon and electrons closed; six constants are fitted to this organism's own measurements, at a feed of 29.4 to 34.7 g/L glucose; on four held-back cultures fed 10 and 50 g/L it met three of its six lines and missed three (galacturonate, mucic acid and carbon dioxide), a second scoring confirmed it, and it is not validated against measurement. Since then it refuses by name a feed outside the fitted 29.375 to 34.676 g/L glucose and a record longer than 215 h, so the four held-back questions are refused today, and since 0.7.0 a starting biomass, glucose or galacturonate, a feed schedule, water, sample or broth volume outside the fitted cultures' own.", "base": "example_solve", "input": "parameters.feed_glucose_g_per_l", "input_unit": "g/L", "whole_number_input": false, "base_value": 32.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 29.375, "inside_value_hex": "403d600000000000", "outside_value": 29.374999999999996, "outside_value_hex": "403d5fffffffffff", "width": 3.552713678800501e-15, "adjacent_64_bit_numbers": true, "stop_name": "FeedGlucoseOutOfRange", "stop_sentence": "Physical Violation: 'feed_glucose_g_per_l' 29.374999999999996 is outside 29.375 to 34.676 g/L (FeedGlucoseOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "3bb5d2f9a19c12369a5a928775207fd8bcc1210f9770b5f7cd4de9f29bc78637", "outside_proof": null, "inside_receipt": "c30e32dafcd5e3e71b7bef753ebf3a9387b052a2d22dabe22a9b5062d118ff3a", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:43:36Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 29.375, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "inside_answer": "{\"inputs\":{\"solver\":\"culture_trichoderma_ambr250\",\"parameters\":{\"biomass_g_per_l\":0.9,\"glucose_g_per_l\":20.8,\"galacturonate_g_per_l\":4.6,\"feed_glucose_g_per_l\":29.375,\"feed_galacturonate_g_per_l\":94.0,\"segment_end_h\":[22.0,44.0,68.0],\"feed_ml\":[0.0,4.4,7.2],\"water_ml\":[-2.0,-1.0,0.5],\"sample_ml\":[4.3,4.3,4.3]}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"biomass_g_per_l\":[2.6767753850875478e0,7.530490363811987e0,8.826035183332941e0],\"biomass_g_per_l_hex\":[\"40056a09368d82b6\",\"401e1f38ddada99a\",\"4021a6ee1563854c\"],\"glucose_g_per_l\":[1.6623662565785207e1,4.498814614282937e0,7.664385051300816e-3],\"glucose_g_per_l_hex\":[\"40309fa85993c973\",\"4011fec9421c72c2\",\"3f7f64b0b23a865b\"],\"galacturonate_g_per_l\":[4.471854158175703e0,7.209962108137321e0,7.023091820132942e0],\"galacturonate_g_per_l_hex\":[\"4011e32dbc876291\",\"401cd7004e8f6563\",\"401c17a561d11aba\"],\"mucic_acid_g_per_l\":[2.2820997623395892e-1,1.2711772892016426e0,7.397118507602036e0],\"mucic_acid_g_per_l_hex\":[\"3fcd35fc0845dc79\",\"3ff456bdff489fb3\",\"401d96a63beb25f6\"],\"volume_ml\":[1.0800000000001354e2,1.0710000000000029e2,1.1050000000001077e2],\"volume_ml_hex\":[\"405b0000000003b9\",\"405ac6666666667b\",\"405ba000000002f6\"],\"carbon_dioxide_mol\":[8.688286329587635e-3,3.2895372062920696e-2,4.736924755788477e-2],\"carbon_dioxide_mol_hex\":[\"3f81cb2a0d26a186\",\"3fa0d7a9866665ef\",\"3fa840c83231c9d4\"],\"oxygen_mol\":[8.35917651308039e-3,3.1752484892742114e-2,4.7412784597974524e-2],\"oxygen_mol_hex\":[\"3f811e9dadf61c86\",\"3fa041dc985cb416\",\"3fa8467d0e856c75\"],\"carbon_supplied_mol\":1.4091135990061632e-1,\"carbon_supplied_mol_hex\":\"3fc2096229343a6c\"},\"invariants\":{\"carbon_residual\":1.188532446405526e-13,\"carbon_residual_hex\":\"3d40ba23b16f7813\",\"electron_residual\":1.1909060391554692e-13,\"electron_residual_hex\":\"3d40c2b0f22d807a\",\"settle_gap\":1.2045120456605218e-10,\"settle_gap_hex\":\"3de08e0000000000\"},\"field_sha256\":\"ffe652df734e554ff4c936782a9cc08b0d1b77a6a8bffaf7913e4b85fc8952c0\",\"seal_parts\":{\"inputs\":\"62c63d91e49106795662b70750c57d5743bc9518b7786eb56230b48b43c2099a\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"623d9d16ba5456665d8d9ad067b08a9c2ef91a8f800ae70f9382654511038369\",\"invariants\":\"c7bf1b133a8be08abffc56141b6de5b5ac4db2ed55ed73cd4dc984e8fb213e18\",\"field_sha256\":\"3a1e9d5009ff64b6c593f2582f3c2eb4b8eb04bcddf93f28c896c1ad0eadada3\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"3bb5d2f9a19c12369a5a928775207fd8bcc1210f9770b5f7cd4de9f29bc78637\",\"receipt_sha256\":\"c30e32dafcd5e3e71b7bef753ebf3a9387b052a2d22dabe22a9b5062d118ff3a\"}", "outside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 29.374999999999996, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "outside_answer": "Physical Violation: 'feed_glucose_g_per_l' 29.374999999999996 is outside 29.375 to 34.676 g/L (FeedGlucoseOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-6c60f13e7cbc", "model": "culture_trichoderma_ambr250", "solver": "culture_trichoderma_ambr250", "tool": "solve", "specimen": "One fed-batch culture of the fungus Trichoderma sp. VTT D-221704 in an ambr 250 vessel at pH 4.0 and 35 °C, turning D-galacturonate into mucic acid: biomass, glucose, galacturonate, mucic acid, carbon dioxide made and oxygen taken up at the end of every segment of the caller's feeding record, with carbon and electrons closed; six constants are fitted to this organism's own measurements, at a feed of 29.4 to 34.7 g/L glucose; on four held-back cultures fed 10 and 50 g/L it met three of its six lines and missed three (galacturonate, mucic acid and carbon dioxide), a second scoring confirmed it, and it is not validated against measurement. Since then it refuses by name a feed outside the fitted 29.375 to 34.676 g/L glucose and a record longer than 215 h, so the four held-back questions are refused today, and since 0.7.0 a starting biomass, glucose or galacturonate, a feed schedule, water, sample or broth volume outside the fitted cultures' own.", "base": "example_solve", "input": "parameters.feed_glucose_g_per_l", "input_unit": "g/L", "whole_number_input": false, "base_value": 32.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 34.676, "inside_value_hex": "404156872b020c4a", "outside_value": 34.67600000000001, "outside_value_hex": "404156872b020c4b", "width": 7.105427357601002e-15, "adjacent_64_bit_numbers": true, "stop_name": "FeedGlucoseOutOfRange", "stop_sentence": "Physical Violation: 'feed_glucose_g_per_l' 34.67600000000001 is outside 29.375 to 34.676 g/L (FeedGlucoseOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "8dc097fde6232a8119ee190ada62d92757fb36e6465b420dceddd54053006a55", "outside_proof": null, "inside_receipt": "67c59c5bc6e8ad2f546a2d323f1f0129d33ed9338bdf6ab4a981a54f65d25136", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:43:38Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 34.676, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "inside_answer": "{\"inputs\":{\"solver\":\"culture_trichoderma_ambr250\",\"parameters\":{\"biomass_g_per_l\":0.9,\"glucose_g_per_l\":20.8,\"galacturonate_g_per_l\":4.6,\"feed_glucose_g_per_l\":34.676,\"feed_galacturonate_g_per_l\":94.0,\"segment_end_h\":[22.0,44.0,68.0],\"feed_ml\":[0.0,4.4,7.2],\"water_ml\":[-2.0,-1.0,0.5],\"sample_ml\":[4.3,4.3,4.3]}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"biomass_g_per_l\":[2.6767753850875478e0,7.531858567197194e0,9.040944488960418e0],\"biomass_g_per_l_hex\":[\"40056a09368d82b6\",\"401e209f8840d664\",\"402214f6ad1212a7\"],\"glucose_g_per_l\":[1.6623662565785207e1,4.713238804820925e0,8.937422812462743e-3],\"glucose_g_per_l_hex\":[\"40309fa85993c973\",\"4012da5b45f3c6a8\",\"3f824dc8958539e4\"],\"galacturonate_g_per_l\":[4.471854158175703e0,7.221015638636995e0,6.972897762481492e0],\"galacturonate_g_per_l_hex\":[\"4011e32dbc876291\",\"401ce251ec6f66dc\",\"401be43f4fa0d69d\"],\"mucic_acid_g_per_l\":[2.2820997623395892e-1,1.2593528210593958e0,7.4508133913903904e0],\"mucic_acid_g_per_l_hex\":[\"3fcd35fc0845dc79\",\"3ff4264f24c93506\",\"401dcda206927b78\"],\"volume_ml\":[1.0800000000001354e2,1.0710000000000029e2,1.1050000000001077e2],\"volume_ml_hex\":[\"405b0000000003b9\",\"405ac6666666667b\",\"405ba000000002f6\"],\"carbon_dioxide_mol\":[8.688286329587635e-3,3.2900962563776746e-2,4.841820477475494e-2],\"carbon_dioxide_mol_hex\":[\"3f81cb2a0d26a186\",\"3fa0d8651c6fca73\",\"3fa8ca455c13c3d7\"],\"oxygen_mol\":[8.35917651308039e-3,3.1754835644848885e-2,4.842712783709981e-2],\"oxygen_mol_hex\":[\"3f811e9dadf61c86\",\"3fa0422b792b4119\",\"3fa8cb70c4995f43\"],\"carbon_supplied_mol\":1.4295930501485066e-1,\"carbon_supplied_mol_hex\":\"3fc24c7d91d94d54\"},\"invariants\":{\"carbon_residual\":1.188532446405526e-13,\"carbon_residual_hex\":\"3d40ba23b16f7813\",\"electron_residual\":1.1909060391554692e-13,\"electron_residual_hex\":\"3d40c2b0f22d807a\",\"settle_gap\":1.1820056045053207e-10,\"settle_gap_hex\":\"3de03ed000000000\"},\"field_sha256\":\"83d2703bb97637b476da1adb1bced7ab71e1e9cc4cbf4d8cbc9b7a956cb045d9\",\"seal_parts\":{\"inputs\":\"ff15b8986588ae33ebceb31426b4c55c6303b6cf2eda80f474674178625ef436\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e0399bcd5020a61d6ee4c2aa9dec4c5734b5aebf40717222d3f5bcdcad33e934\",\"invariants\":\"29998ad0087a9538ee279c4ac917c59cccbdbb76968a88a0c42920e796d7cecc\",\"field_sha256\":\"0cf6227be6b33e77231ae8c85f7dace6f7b3912768cdaee814621c7cef276fc2\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"8dc097fde6232a8119ee190ada62d92757fb36e6465b420dceddd54053006a55\",\"receipt_sha256\":\"67c59c5bc6e8ad2f546a2d323f1f0129d33ed9338bdf6ab4a981a54f65d25136\"}", "outside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 34.67600000000001, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "outside_answer": "Physical Violation: 'feed_glucose_g_per_l' 34.67600000000001 is outside 29.375 to 34.676 g/L (FeedGlucoseOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-2435f03d054d", "model": "culture_trichoderma_ambr250", "solver": "culture_trichoderma_ambr250", "tool": "solve", "specimen": "One fed-batch culture of the fungus Trichoderma sp. VTT D-221704 in an ambr 250 vessel at pH 4.0 and 35 °C, turning D-galacturonate into mucic acid: biomass, glucose, galacturonate, mucic acid, carbon dioxide made and oxygen taken up at the end of every segment of the caller's feeding record, with carbon and electrons closed; six constants are fitted to this organism's own measurements, at a feed of 29.4 to 34.7 g/L glucose; on four held-back cultures fed 10 and 50 g/L it met three of its six lines and missed three (galacturonate, mucic acid and carbon dioxide), a second scoring confirmed it, and it is not validated against measurement. Since then it refuses by name a feed outside the fitted 29.375 to 34.676 g/L glucose and a record longer than 215 h, so the four held-back questions are refused today, and since 0.7.0 a starting biomass, glucose or galacturonate, a feed schedule, water, sample or broth volume outside the fitted cultures' own.", "base": "example_solve", "input": "parameters.feed_galacturonate_g_per_l", "input_unit": "g/L", "whole_number_input": false, "base_value": 94.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 80.0, "inside_value_hex": "4054000000000000", "outside_value": 79.99999999999999, "outside_value_hex": "4053ffffffffffff", "width": 1.4210854715202004e-14, "adjacent_64_bit_numbers": true, "stop_name": "FeedGalacturonateOutOfRange", "stop_sentence": "Physical Violation: 'feed_galacturonate_g_per_l' 79.99999999999999 is outside 80 to 110 g/L (FeedGalacturonateOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "19465e896fe8cb33436c9dec5cce80e271cb0612c60d512d2ae56140c2e90bde", "outside_proof": null, "inside_receipt": "56d4f019bdcf701f37a92973ff9c1f1659a1f9069d0745d930481c7eeb0b7e09", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:43:39Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 80.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "inside_answer": "{\"inputs\":{\"solver\":\"culture_trichoderma_ambr250\",\"parameters\":{\"biomass_g_per_l\":0.9,\"glucose_g_per_l\":20.8,\"galacturonate_g_per_l\":4.6,\"feed_glucose_g_per_l\":32.0,\"feed_galacturonate_g_per_l\":80.0,\"segment_end_h\":[22.0,44.0,68.0],\"feed_ml\":[0.0,4.4,7.2],\"water_ml\":[-2.0,-1.0,0.5],\"sample_ml\":[4.3,4.3,4.3]}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"biomass_g_per_l\":[2.6767753850875478e0,7.531176727086241e0,8.932443076933358e0],\"biomass_g_per_l_hex\":[\"40056a09368d82b6\",\"401e1feccabced49\",\"4021dd692dd19eeb\"],\"glucose_g_per_l\":[1.6623662565785207e1,4.6049736365670375e0,8.298688696991472e-3],\"glucose_g_per_l_hex\":[\"40309fa85993c973\",\"40126b7e357ffd8f\",\"3f80fee7246d1545\"],\"galacturonate_g_per_l\":[4.471854158175703e0,6.640753497674611e0,5.557894543442041e0],\"galacturonate_g_per_l_hex\":[\"4011e32dbc876291\",\"401a9021af553d82\",\"40163b48b50acd3a\"],\"mucic_acid_g_per_l\":[2.2820997623395892e-1,1.2648071793329216e0,7.416262617849857e0],\"mucic_acid_g_per_l_hex\":[\"3fcd35fc0845dc79\",\"3ff43ca673efb1ca\",\"401daa40bf68d995\"],\"volume_ml\":[1.0800000000001354e2,1.0710000000000029e2,1.1050000000001077e2],\"volume_ml_hex\":[\"405b0000000003b9\",\"405ac6666666667b\",\"405ba000000002f6\"],\"carbon_dioxide_mol\":[8.688286329587635e-3,3.2898160344846966e-2,4.7888446782147515e-2],\"carbon_dioxide_mol_hex\":[\"3f81cb2a0d26a186\",\"3fa0d807158f3274\",\"3fa884d5a19234ec\"],\"oxygen_mol\":[8.35917651308039e-3,3.1753538889008295e-2,4.791292991116161e-2],\"oxygen_mol_hex\":[\"3f811e9dadf61c86\",\"3fa041fff61f010a\",\"3fa8880b260c4704\"],\"carbon_supplied_mol\":1.3690639673129998e-1,\"carbon_supplied_mol_hex\":\"3fc1862618497d3f\"},\"invariants\":{\"carbon_residual\":1.188532446405526e-13,\"carbon_residual_hex\":\"3d40ba23b16f7813\",\"electron_residual\":1.1909060391554692e-13,\"electron_residual_hex\":\"3d40c2b0f22d807a\",\"settle_gap\":1.1895817664253627e-10,\"settle_gap_hex\":\"3de0597800000000\"},\"field_sha256\":\"07b9d2c7746d2267daaa529e109a303be123ea806eae1766139b437a41502faa\",\"seal_parts\":{\"inputs\":\"b955d190620c9371583d9a0b1ade19823fccaef788ca9b4f81fc27d68a45ec25\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"5c64228c4bf0307785c9f502fe47149bebad83837fddb347ca8b136fcf1d9572\",\"invariants\":\"764ce3d672084feffd7179b898612af8696af333b475fbfad57c879453dc2772\",\"field_sha256\":\"a3ebecdf0a760d04313c04d592934cf3442602f8e11f9e7d76d03da7b98ca168\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"19465e896fe8cb33436c9dec5cce80e271cb0612c60d512d2ae56140c2e90bde\",\"receipt_sha256\":\"56d4f019bdcf701f37a92973ff9c1f1659a1f9069d0745d930481c7eeb0b7e09\"}", "outside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 79.99999999999999, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "outside_answer": "Physical Violation: 'feed_galacturonate_g_per_l' 79.99999999999999 is outside 80 to 110 g/L (FeedGalacturonateOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-188b8f958524", "model": "culture_trichoderma_ambr250", "solver": "culture_trichoderma_ambr250", "tool": "solve", "specimen": "One fed-batch culture of the fungus Trichoderma sp. VTT D-221704 in an ambr 250 vessel at pH 4.0 and 35 °C, turning D-galacturonate into mucic acid: biomass, glucose, galacturonate, mucic acid, carbon dioxide made and oxygen taken up at the end of every segment of the caller's feeding record, with carbon and electrons closed; six constants are fitted to this organism's own measurements, at a feed of 29.4 to 34.7 g/L glucose; on four held-back cultures fed 10 and 50 g/L it met three of its six lines and missed three (galacturonate, mucic acid and carbon dioxide), a second scoring confirmed it, and it is not validated against measurement. Since then it refuses by name a feed outside the fitted 29.375 to 34.676 g/L glucose and a record longer than 215 h, so the four held-back questions are refused today, and since 0.7.0 a starting biomass, glucose or galacturonate, a feed schedule, water, sample or broth volume outside the fitted cultures' own.", "base": "example_solve", "input": "parameters.feed_galacturonate_g_per_l", "input_unit": "g/L", "whole_number_input": false, "base_value": 94.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 110.0, "inside_value_hex": "405b800000000000", "outside_value": 110.00000000000001, "outside_value_hex": "405b800000000001", "width": 1.4210854715202004e-14, "adjacent_64_bit_numbers": true, "stop_name": "FeedGalacturonateOutOfRange", "stop_sentence": "Physical Violation: 'feed_galacturonate_g_per_l' 110.00000000000001 is outside 80 to 110 g/L (FeedGalacturonateOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "32c8bb7b50ae4596ceb15b70fe76dda9fca1007d5ceafbd10dcee7632e7ac0f4", "outside_proof": null, "inside_receipt": "0cfd82f1d0faec405fa5c4319a05a06cab38ca65bfe8cfa6205d62d138112931", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:43:41Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 110.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "inside_answer": "{\"inputs\":{\"solver\":\"culture_trichoderma_ambr250\",\"parameters\":{\"biomass_g_per_l\":0.9,\"glucose_g_per_l\":20.8,\"galacturonate_g_per_l\":4.6,\"feed_glucose_g_per_l\":32.0,\"feed_galacturonate_g_per_l\":110.0,\"segment_end_h\":[22.0,44.0,68.0],\"feed_ml\":[0.0,4.4,7.2],\"water_ml\":[-2.0,-1.0,0.5],\"sample_ml\":[4.3,4.3,4.3]}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"biomass_g_per_l\":[2.6767753850875478e0,7.531176727086241e0,8.932443076933358e0],\"biomass_g_per_l_hex\":[\"40056a09368d82b6\",\"401e1feccabced49\",\"4021dd692dd19eeb\"],\"glucose_g_per_l\":[1.6623662565785207e1,4.6049736365670375e0,8.298688696991472e-3],\"glucose_g_per_l_hex\":[\"40309fa85993c973\",\"40126b7e357ffd8f\",\"3f80fee7246d1545\"],\"galacturonate_g_per_l\":[4.471854158175703e0,7.8723652491340985e0,8.64602137674898e0],\"galacturonate_g_per_l_hex\":[\"4011e32dbc876291\",\"401f7d4d50dcca98\",\"40214ac3505b4eba\"],\"mucic_acid_g_per_l\":[2.2820997623395892e-1,1.2657498882864557e0,7.430418743802223e0],\"mucic_acid_g_per_l_hex\":[\"3fcd35fc0845dc79\",\"3ff44082f471b219\",\"401db8bfb0f0dd22\"],\"volume_ml\":[1.0800000000001354e2,1.0710000000000029e2,1.1050000000001077e2],\"volume_ml_hex\":[\"405b0000000003b9\",\"405ac6666666667b\",\"405ba000000002f6\"],\"carbon_dioxide_mol\":[8.688286329587635e-3,3.289819447284601e-2,4.788897690241211e-2],\"carbon_dioxide_mol_hex\":[\"3f81cb2a0d26a186\",\"3fa0d8083ab775ed\",\"3fa884e76b44ff2f\"],\"oxygen_mol\":[8.35917651308039e-3,3.175380756192311e-2,4.7917103286720594e-2],\"oxygen_mol_hex\":[\"3f811e9dadf61c86\",\"3fa04208fa00fdeb\",\"3fa888972f122f8e\"],\"carbon_supplied_mol\":1.476615772978013e-1,\"carbon_supplied_mol_hex\":\"3fc2e69316af56ad\"},\"invariants\":{\"carbon_residual\":1.188532446405526e-13,\"carbon_residual_hex\":\"3d40ba23b16f7813\",\"electron_residual\":1.1909060391554692e-13,\"electron_residual_hex\":\"3d40c2b0f22d807a\",\"settle_gap\":1.1948664280225785e-10,\"settle_gap_hex\":\"3de06c1000000000\"},\"field_sha256\":\"2b3e6cd7b2a01a68f4f61f2bc42ff7157439a1c6364d00ee5877dd5dcd488d3a\",\"seal_parts\":{\"inputs\":\"e9b1024d67bc9374c949ca69ac869099cf31af2e7f8f8814a2e334a7e0314a1d\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"cc6a31a5b713736acb13a66c786899ae32085cd5fff7fc7c0ac8c902fb9eaf09\",\"invariants\":\"d2d14e411679e194a7921e5387e2d556fc987f53da1fa34d7d68d730175c0a87\",\"field_sha256\":\"2ae2dd67100b678e1ec5cfda2818d080213e5d3db425740d670348b4ff6a30f7\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"32c8bb7b50ae4596ceb15b70fe76dda9fca1007d5ceafbd10dcee7632e7ac0f4\",\"receipt_sha256\":\"0cfd82f1d0faec405fa5c4319a05a06cab38ca65bfe8cfa6205d62d138112931\"}", "outside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 110.00000000000001, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "outside_answer": "Physical Violation: 'feed_galacturonate_g_per_l' 110.00000000000001 is outside 80 to 110 g/L (FeedGalacturonateOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-36f9f1ee277c", "model": "culture_trichoderma_ambr250", "solver": "culture_trichoderma_ambr250", "tool": "solve", "specimen": "One fed-batch culture of the fungus Trichoderma sp. VTT D-221704 in an ambr 250 vessel at pH 4.0 and 35 °C, turning D-galacturonate into mucic acid: biomass, glucose, galacturonate, mucic acid, carbon dioxide made and oxygen taken up at the end of every segment of the caller's feeding record, with carbon and electrons closed; six constants are fitted to this organism's own measurements, at a feed of 29.4 to 34.7 g/L glucose; on four held-back cultures fed 10 and 50 g/L it met three of its six lines and missed three (galacturonate, mucic acid and carbon dioxide), a second scoring confirmed it, and it is not validated against measurement. Since then it refuses by name a feed outside the fitted 29.375 to 34.676 g/L glucose and a record longer than 215 h, so the four held-back questions are refused today, and since 0.7.0 a starting biomass, glucose or galacturonate, a feed schedule, water, sample or broth volume outside the fitted cultures' own.", "base": "example_solve", "input": "parameters.segment_end_h[0]", "input_unit": "h", "whole_number_input": false, "base_value": 22.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 21.17999999997882, "inside_value_hex": "40352e147ae13064", "outside_value": 21.179999999978815, "outside_value_hex": "40352e147ae13063", "width": 3.552713678800501e-15, "adjacent_64_bit_numbers": true, "stop_name": "FeedScheduleOutOfRange", "stop_sentence": "Physical Violation: segment 1, from 21.179999999978815 h to 44 h, is fed at 0.19281332164749848 mL/h, and no feed lies inside the feeds of the eight fitted cultures over those hours: they allow at most 0 mL/h from its start and ask at least 0.0913 mL/h by its end, so the segment cannot be fed; end a segment between those hours (FeedScheduleOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "2efba76e4656e41ab1c6e65bf4081a85e0342518bebda948688053a5e39b1113", "outside_proof": null, "inside_receipt": "b30d1f6e02caa3bb4e0bedf3e002976e70bc93e73906506d7aecab85fd5fcea3", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:43:44Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [21.17999999997882, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "inside_answer": "{\"inputs\":{\"solver\":\"culture_trichoderma_ambr250\",\"parameters\":{\"biomass_g_per_l\":0.9,\"glucose_g_per_l\":20.8,\"galacturonate_g_per_l\":4.6,\"feed_glucose_g_per_l\":32.0,\"feed_galacturonate_g_per_l\":94.0,\"segment_end_h\":[21.17999999997882,44.0,68.0],\"feed_ml\":[0.0,4.4,7.2],\"water_ml\":[-2.0,-1.0,0.5],\"sample_ml\":[4.3,4.3,4.3]}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"biomass_g_per_l\":[2.5720493225756837e0,7.531283151961401e0,8.932438445972709e0],\"biomass_g_per_l_hex\":[\"4004938e98614ac9\",\"401e2008b0ca5c2d\",\"4021dd68926df8c1\"],\"glucose_g_per_l\":[1.689508416566977e1,4.604707370610951e0,8.298693357333516e-3],\"glucose_g_per_l_hex\":[\"4030e5243c62b817\",\"40126b3868b1b25e\",\"3f80fee7c48de29e\"],\"galacturonate_g_per_l\":[4.485768970208893e0,7.216159996854772e0,6.998569107109466e0],\"galacturonate_g_per_l_hex\":[\"4011f16d6bc1d5ce\",\"401cdd590bd4c762\",\"401bfe88e6675306\"],\"mucic_acid_g_per_l\":[2.1332466410701076e-1,1.2645471235997425e0,7.423351577559647e0],\"mucic_acid_g_per_l_hex\":[\"3fcb4e38fbe288af\",\"3ff43b95c3c1c9c9\",\"401db18313715094\"],\"volume_ml\":[1.0800000000002154e2,1.0710000000003838e2,1.1050000000004886e2],\"volume_ml_hex\":[\"405b0000000005ec\",\"405ac666666670f3\",\"405ba00000000d6e\"],\"carbon_dioxide_mol\":[8.171244222232529e-3,3.2878051403329514e-2,4.786816556398291e-2],\"carbon_dioxide_mol_hex\":[\"3f80bc15d59defde\",\"3fa0d564571127da\",\"3fa8822d1b3bcfd5\"],\"oxygen_mol\":[7.86138848344e-3,3.1734108676579956e-2,4.789523251914532e-2],\"oxygen_mol_hex\":[\"3f8019a1b3800d8c\",\"3fa03f73fdde038a\",\"3fa885b9529babc4\"],\"carbon_supplied_mol\":1.4192548099566726e-1,\"carbon_supplied_mol_hex\":\"3fc22a9d39ac380c\"},\"invariants\":{\"carbon_residual\":2.802859806980808e-13,\"carbon_residual_hex\":\"3d53b92ef0377ab8\",\"electron_residual\":2.831445946542911e-13,\"electron_residual_hex\":\"3d53ecadf7e67903\",\"settle_gap\":1.1935075150404373e-10,\"settle_gap_hex\":\"3de0674800000000\"},\"field_sha256\":\"6f88627ab2986df52a74c16c98cae77dcbb7802b783d635d880f5229dafe9e26\",\"seal_parts\":{\"inputs\":\"75a9adb9eff082c6ab89615163abeb8319a5c5976ed7042fcf367779b495b8a8\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"c4a96d2a6be3e755e0f9ac90722e3126a4298039b840b47cd97bbb30ac071fa7\",\"invariants\":\"530fdc34ecabdd69beac38f7847ee2cffef22c28a5ffc6be50bde98b3334080a\",\"field_sha256\":\"413154d560f1ba462b40a435720fa6039e6439ad9ea8e154d621e6709352e474\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"2efba76e4656e41ab1c6e65bf4081a85e0342518bebda948688053a5e39b1113\",\"receipt_sha256\":\"b30d1f6e02caa3bb4e0bedf3e002976e70bc93e73906506d7aecab85fd5fcea3\"}", "outside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [21.179999999978815, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "outside_answer": "Physical Violation: segment 1, from 21.179999999978815 h to 44 h, is fed at 0.19281332164749848 mL/h, and no feed lies inside the feeds of the eight fitted cultures over those hours: they allow at most 0 mL/h from its start and ask at least 0.0913 mL/h by its end, so the segment cannot be fed; end a segment between those hours (FeedScheduleOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-77bea6eae5bd", "model": "culture_trichoderma_ambr250", "solver": "culture_trichoderma_ambr250", "tool": "solve", "specimen": "One fed-batch culture of the fungus Trichoderma sp. VTT D-221704 in an ambr 250 vessel at pH 4.0 and 35 °C, turning D-galacturonate into mucic acid: biomass, glucose, galacturonate, mucic acid, carbon dioxide made and oxygen taken up at the end of every segment of the caller's feeding record, with carbon and electrons closed; six constants are fitted to this organism's own measurements, at a feed of 29.4 to 34.7 g/L glucose; on four held-back cultures fed 10 and 50 g/L it met three of its six lines and missed three (galacturonate, mucic acid and carbon dioxide), a second scoring confirmed it, and it is not validated against measurement. Since then it refuses by name a feed outside the fitted 29.375 to 34.676 g/L glucose and a record longer than 215 h, so the four held-back questions are refused today, and since 0.7.0 a starting biomass, glucose or galacturonate, a feed schedule, water, sample or broth volume outside the fitted cultures' own.", "base": "example_solve", "input": "parameters.segment_end_h[0]", "input_unit": "h", "whole_number_input": false, "base_value": 22.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 22.87000000002287, "inside_value_hex": "4036deb851eb9e44", "outside_value": 22.870000000022873, "outside_value_hex": "4036deb851eb9e45", "width": 3.552713678800501e-15, "adjacent_64_bit_numbers": true, "stop_name": "FeedScheduleOutOfRange", "stop_sentence": "Physical Violation: segment 0, from 0 h to 22.870000000022873 h, is fed at 0 mL/h, and no feed lies inside the feeds of the eight fitted cultures over those hours: they allow at most 0 mL/h from its start and ask at least 0.0913 mL/h by its end, so the segment cannot be fed; end a segment between those hours (FeedScheduleOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "ba80b69b2ee0460c0758e22c459e42d5c0c8d9ccf2a86f2e2b65973f9c040544", "outside_proof": null, "inside_receipt": "6e0139cbd7634fc6f3d441801ffbcdb3a9cf9ffba16ac9416f35e15fc1e2a064", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:43:47Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.87000000002287, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "inside_answer": "{\"inputs\":{\"solver\":\"culture_trichoderma_ambr250\",\"parameters\":{\"biomass_g_per_l\":0.9,\"glucose_g_per_l\":20.8,\"galacturonate_g_per_l\":4.6,\"feed_glucose_g_per_l\":32.0,\"feed_galacturonate_g_per_l\":94.0,\"segment_end_h\":[22.87000000002287,44.0,68.0],\"feed_ml\":[0.0,4.4,7.2],\"water_ml\":[-2.0,-1.0,0.5],\"sample_ml\":[4.3,4.3,4.3]}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"biomass_g_per_l\":[2.7925400213387497e0,7.531059480525509e0,8.932448101202077e0],\"biomass_g_per_l_hex\":[\"4006571f39035e5b\",\"401e1fce0e7459eb\",\"4021dd69d667c2ac\"],\"glucose_g_per_l\":[1.6323629847094367e1,4.605266761472888e0,8.298683640847647e-3],\"glucose_g_per_l_hex\":[\"403052d967d947a0\",\"40126bcb0cc7870d\",\"3f80fee676b2c58c\"],\"galacturonate_g_per_l\":[4.456264750597653e0,7.214712801734703e0,6.997325838088947e0],\"galacturonate_g_per_l_hex\":[\"4011d337111889bf\",\"401cdbddac35eead\",\"401bfd42fc0830f7\"],\"mucic_acid_g_per_l\":[2.4488667995938004e-1,1.2660952545430646e0,7.424681559410078e0],\"mucic_acid_g_per_l_hex\":[\"3fcf58725cd3662f\",\"3ff441ed18fe21d3\",\"401db2dfb90385b3\"],\"volume_ml\":[1.0800000000001509e2,1.0710000000001139e2,1.1050000000002187e2],\"volume_ml_hex\":[\"405b000000000426\",\"405ac66666666988\",\"405ba00000000603\"],\"carbon_dioxide_mol\":[9.25984264123033e-3,3.292042828623872e-2,4.791147548804786e-2],\"carbon_dioxide_mol_hex\":[\"3f82f6d30a7b452c\",\"3fa0daf245b82bbb\",\"3fa887da58a606e0\"],\"oxygen_mol\":[8.909505086995164e-3,3.177530764617578e-2,4.793728732071625e-2],\"oxygen_mol_hex\":[\"3f823f2587c70b7b\",\"3fa044da66524284\",\"3fa88b3c729a5543\"],\"carbon_supplied_mol\":1.4192548099566726e-1,\"carbon_supplied_mol_hex\":\"3fc22a9d39ac380c\"},\"invariants\":{\"carbon_residual\":1.3260605613976392e-13,\"carbon_residual_hex\":\"3d42a9a2fd785056\",\"electron_residual\":1.3230639412562631e-13,\"electron_residual_hex\":\"3d429ed7188b4a1b\",\"settle_gap\":1.1931344801041632e-10,\"settle_gap_hex\":\"3de065f800000000\"},\"field_sha256\":\"8e3fe426a97ea17c55bd13500340af9a6f2b58612281930c67febc37438fc801\",\"seal_parts\":{\"inputs\":\"de87b46bbf1711a8cba877a2ef084415d6adf12351a2605a3ecc6b73d2b3e8ce\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"3d8cfea29e1f46ca075178556ae44f3f6732d5d76fc5219161730a37065373f9\",\"invariants\":\"b0a4bbf2ca4fd7e3156c96f7497ac1d08ec1f88a5c6b53adc075c6c15c5068d0\",\"field_sha256\":\"986df57400523202bdd7892c90a6fad1ff271079e901bd9b9f06b23258d91270\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"ba80b69b2ee0460c0758e22c459e42d5c0c8d9ccf2a86f2e2b65973f9c040544\",\"receipt_sha256\":\"6e0139cbd7634fc6f3d441801ffbcdb3a9cf9ffba16ac9416f35e15fc1e2a064\"}", "outside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.870000000022873, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "outside_answer": "Physical Violation: segment 0, from 0 h to 22.870000000022873 h, is fed at 0 mL/h, and no feed lies inside the feeds of the eight fitted cultures over those hours: they allow at most 0 mL/h from its start and ask at least 0.0913 mL/h by its end, so the segment cannot be fed; end a segment between those hours (FeedScheduleOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-faab1d5f64c0", "model": "culture_trichoderma_ambr250", "solver": "culture_trichoderma_ambr250", "tool": "solve", "specimen": "One fed-batch culture of the fungus Trichoderma sp. VTT D-221704 in an ambr 250 vessel at pH 4.0 and 35 °C, turning D-galacturonate into mucic acid: biomass, glucose, galacturonate, mucic acid, carbon dioxide made and oxygen taken up at the end of every segment of the caller's feeding record, with carbon and electrons closed; six constants are fitted to this organism's own measurements, at a feed of 29.4 to 34.7 g/L glucose; on four held-back cultures fed 10 and 50 g/L it met three of its six lines and missed three (galacturonate, mucic acid and carbon dioxide), a second scoring confirmed it, and it is not validated against measurement. Since then it refuses by name a feed outside the fitted 29.375 to 34.676 g/L glucose and a record longer than 215 h, so the four held-back questions are refused today, and since 0.7.0 a starting biomass, glucose or galacturonate, a feed schedule, water, sample or broth volume outside the fitted cultures' own.", "base": "example_solve", "input": "parameters.segment_end_h[1]", "input_unit": "h", "whole_number_input": false, "base_value": 44.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 43.44999999995655, "inside_value_hex": "4045b999999981b7", "outside_value": 43.449999999956546, "outside_value_hex": "4045b999999981b6", "width": 7.105427357601002e-15, "adjacent_64_bit_numbers": true, "stop_name": "FeedScheduleOutOfRange", "stop_sentence": "Physical Violation: segment 2, from 43.449999999956546 h to 68 h, is fed at 0.29327902240273956 mL/h, and no feed lies inside the feeds of the eight fitted cultures over those hours: they allow at most 0.2234 mL/h from its start and ask at least 0.243 mL/h by its end, so the segment cannot be fed; end a segment between those hours (FeedScheduleOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "415277f878a5b4df49ba5d2861513d22b036576f00e241ad01487dd5553e988f", "outside_proof": null, "inside_receipt": "e530740fc46d62c645d66799606c1b8b178b4d5309ac1bfedcda4dcbade4646e", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:43:49Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 43.44999999995655, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "inside_answer": "{\"inputs\":{\"solver\":\"culture_trichoderma_ambr250\",\"parameters\":{\"biomass_g_per_l\":0.9,\"glucose_g_per_l\":20.8,\"galacturonate_g_per_l\":4.6,\"feed_glucose_g_per_l\":32.0,\"feed_galacturonate_g_per_l\":94.0,\"segment_end_h\":[22.0,43.44999999995655,68.0],\"feed_ml\":[0.0,4.4,7.2],\"water_ml\":[-2.0,-1.0,0.5],\"sample_ml\":[4.3,4.3,4.3]}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"biomass_g_per_l\":[2.6767753850875478e0,7.33540155374168e0,8.932041210157783e0],\"biomass_g_per_l_hex\":[\"40056a09368d82b6\",\"401d577381416475\",\"4021dd3481684dcb\"],\"glucose_g_per_l\":[1.6623662565785207e1,5.112899261101526e0,8.098085364772202e-3],\"glucose_g_per_l_hex\":[\"40309fa85993c973\",\"4014739bdd28b1c9\",\"3f8095ba9e6a5147\"],\"galacturonate_g_per_l\":[4.471854158175703e0,7.276236548609505e0,6.999279384064901e0],\"galacturonate_g_per_l_hex\":[\"4011e32dbc876291\",\"401d1addc0f8f372\",\"401bff43184880cb\"],\"mucic_acid_g_per_l\":[2.2820997623395892e-1,1.2002804829700435e0,7.42259176175225e0],\"mucic_acid_g_per_l_hex\":[\"3fcd35fc0845dc79\",\"3ff334594ec6227f\",\"401db0bbe51123c7\"],\"volume_ml\":[1.0800000000001354e2,1.0710000000000151e2,1.10500000000012e2],\"volume_ml_hex\":[\"405b0000000003b9\",\"405ac666666666d1\",\"405ba0000000034c\"],\"carbon_dioxide_mol\":[8.688286329587635e-3,3.193643828217292e-2,4.785261400931855e-2],\"carbon_dioxide_mol_hex\":[\"3f81cb2a0d26a186\",\"3fa059f90bf1ffda\",\"3fa88023486571e6\"],\"oxygen_mol\":[8.35917651308039e-3,3.0818379570366417e-2,4.78798785468188e-2],\"oxygen_mol_hex\":[\"3f811e9dadf61c86\",\"3f9f8eda717b542d\",\"3fa883b620fd75b8\"],\"carbon_supplied_mol\":1.4192548099566726e-1,\"carbon_supplied_mol_hex\":\"3fc22a9d39ac380c\"},\"invariants\":{\"carbon_residual\":1.188532446405526e-13,\"carbon_residual_hex\":\"3d40ba23b16f7813\",\"electron_residual\":1.1909060391554692e-13,\"electron_residual_hex\":\"3d40c2b0f22d807a\",\"settle_gap\":1.19915632978973e-10,\"settle_gap_hex\":\"3de07b2800000000\"},\"field_sha256\":\"ca128e9ac77e099c18dedd931f5576145096fc0081edc220f6df251a82293084\",\"seal_parts\":{\"inputs\":\"8f2e368281659eac7b531fe934a2ec5d8211a35979868bbcdd53779649da720d\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"65d0939e297dcfb1f2315d79a5eda2e484d9bc439e0e14664c303b560128edf6\",\"invariants\":\"d77bc430d07fa5a6579c85ed4ccc8db8998e26c2eef0e83f9babbd7f0ab0c4ae\",\"field_sha256\":\"ac412b93c6f7b598b302943d487e82ee036bf80ea43edadcefedba831a1140a2\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"415277f878a5b4df49ba5d2861513d22b036576f00e241ad01487dd5553e988f\",\"receipt_sha256\":\"e530740fc46d62c645d66799606c1b8b178b4d5309ac1bfedcda4dcbade4646e\"}", "outside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 43.449999999956546, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "outside_answer": "Physical Violation: segment 2, from 43.449999999956546 h to 68 h, is fed at 0.29327902240273956 mL/h, and no feed lies inside the feeds of the eight fitted cultures over those hours: they allow at most 0.2234 mL/h from its start and ask at least 0.243 mL/h by its end, so the segment cannot be fed; end a segment between those hours (FeedScheduleOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-23985c86d832", "model": "culture_trichoderma_ambr250", "solver": "culture_trichoderma_ambr250", "tool": "solve", "specimen": "One fed-batch culture of the fungus Trichoderma sp. VTT D-221704 in an ambr 250 vessel at pH 4.0 and 35 °C, turning D-galacturonate into mucic acid: biomass, glucose, galacturonate, mucic acid, carbon dioxide made and oxygen taken up at the end of every segment of the caller's feeding record, with carbon and electrons closed; six constants are fitted to this organism's own measurements, at a feed of 29.4 to 34.7 g/L glucose; on four held-back cultures fed 10 and 50 g/L it met three of its six lines and missed three (galacturonate, mucic acid and carbon dioxide), a second scoring confirmed it, and it is not validated against measurement. Since then it refuses by name a feed outside the fitted 29.375 to 34.676 g/L glucose and a record longer than 215 h, so the four held-back questions are refused today, and since 0.7.0 a starting biomass, glucose or galacturonate, a feed schedule, water, sample or broth volume outside the fitted cultures' own.", "base": "example_solve", "input": "parameters.segment_end_h[1]", "input_unit": "h", "whole_number_input": false, "base_value": 44.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 45.19000000004519, "inside_value_hex": "40469851eb853790", "outside_value": 45.190000000045195, "outside_value_hex": "40469851eb853791", "width": 7.105427357601002e-15, "adjacent_64_bit_numbers": true, "stop_name": "FeedScheduleOutOfRange", "stop_sentence": "Physical Violation: segment 1, from 22 h to 45.190000000045195 h, is fed at 0.1897369555839338 mL/h, and no feed lies inside the feeds of the eight fitted cultures over those hours: they allow at most 0.2234 mL/h from its start and ask at least 0.243 mL/h by its end, so the segment cannot be fed; end a segment between those hours (FeedScheduleOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "451c08078714f0142deba90eb98fdeab92e3b708e903261ef51920c7cb00e4ff", "outside_proof": null, "inside_receipt": "32c6a7e9cee24a8b1311a6805490e66ed33aaeb94350154e8551dfe4037ace22", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:43:51Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 45.19000000004519, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "inside_answer": "{\"inputs\":{\"solver\":\"culture_trichoderma_ambr250\",\"parameters\":{\"biomass_g_per_l\":0.9,\"glucose_g_per_l\":20.8,\"galacturonate_g_per_l\":4.6,\"feed_glucose_g_per_l\":32.0,\"feed_galacturonate_g_per_l\":94.0,\"segment_end_h\":[22.0,45.19000000004519,68.0],\"feed_ml\":[0.0,4.4,7.2],\"water_ml\":[-2.0,-1.0,0.5],\"sample_ml\":[4.3,4.3,4.3]}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"biomass_g_per_l\":[2.6767753850875478e0,7.970692087778753e0,8.933382225007051e0],\"biomass_g_per_l_hex\":[\"40056a09368d82b6\",\"401fe1fd1b4dfb9a\",\"4021dde446662560\"],\"glucose_g_per_l\":[1.6623662565785207e1,3.4643270302092266e0,8.768660340542014e-3],\"glucose_g_per_l_hex\":[\"40309fa85993c973\",\"400bb6f1170b2df1\",\"3f81f54dab238dbb\"],\"galacturonate_g_per_l\":[4.471854158175703e0,7.065136232903343e0,6.995782591244347e0],\"galacturonate_g_per_l_hex\":[\"4011e32dbc876291\",\"401c42b312986b01\",\"401bfbae6e7d484d\"],\"mucic_acid_g_per_l\":[2.2820997623395892e-1,1.426104165092277e0,7.4263324412839165e0],\"mucic_acid_g_per_l_hex\":[\"3fcd35fc0845dc79\",\"3ff6d15299dc2be3\",\"401db4907dd2272e\"],\"volume_ml\":[1.0800000000001354e2,1.0710000000002339e2,1.105000000000242e2],\"volume_ml_hex\":[\"405b0000000003b9\",\"405ac66666666cd4\",\"405ba000000006a7\"],\"carbon_dioxide_mol\":[8.688286329587635e-3,3.505908210480197e-2,4.796963450632081e-2],\"carbon_dioxide_mol_hex\":[\"3f81cb2a0d26a186\",\"3fa1f3439622c439\",\"3fa88f79d6cfbaa9\"],\"oxygen_mol\":[8.35917651308039e-3,3.385891616555744e-2,4.799426152736844e-2],\"oxygen_mol_hex\":[\"3f811e9dadf61c86\",\"3fa155f4b337d8ab\",\"3fa892b42f4fba54\"],\"carbon_supplied_mol\":1.4192548099566726e-1,\"carbon_supplied_mol_hex\":\"3fc22a9d39ac380c\"},\"invariants\":{\"carbon_residual\":1.7069403979603524e-13,\"carbon_residual_hex\":\"3d4805e6a22de084\",\"electron_residual\":1.7245260898097766e-13,\"electron_residual_hex\":\"3d4845429244813a\",\"settle_gap\":1.1479706074624119e-10,\"settle_gap_hex\":\"3ddf8e2000000000\"},\"field_sha256\":\"023ab41d768fc24c8779d7a21ee3e624d3d7ad449623650a92195d954fd1f4cf\",\"seal_parts\":{\"inputs\":\"5e445d64b45cf85a4ae6fec6cfc605d74a5c5504119554fab65fd9e69abe2396\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"5f150632f7399b2641b9aa34c30472af8d72397ff1eef1b79cc3d73612f4c3ed\",\"invariants\":\"71dabd188f86b20b71953b7773c7b5be7579faa38ce2a7922ec806cef3f15a0b\",\"field_sha256\":\"d8fdaa96dcaa8c3acebd81a340c1388020ccc7d0f56594b9dc4c2cdb25479ef1\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"451c08078714f0142deba90eb98fdeab92e3b708e903261ef51920c7cb00e4ff\",\"receipt_sha256\":\"32c6a7e9cee24a8b1311a6805490e66ed33aaeb94350154e8551dfe4037ace22\"}", "outside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 45.190000000045195, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "outside_answer": "Physical Violation: segment 1, from 22 h to 45.190000000045195 h, is fed at 0.1897369555839338 mL/h, and no feed lies inside the feeds of the eight fitted cultures over those hours: they allow at most 0.2234 mL/h from its start and ask at least 0.243 mL/h by its end, so the segment cannot be fed; end a segment between those hours (FeedScheduleOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-c9bef0330e09", "model": "culture_trichoderma_ambr250", "solver": "culture_trichoderma_ambr250", "tool": "solve", "specimen": "One fed-batch culture of the fungus Trichoderma sp. VTT D-221704 in an ambr 250 vessel at pH 4.0 and 35 °C, turning D-galacturonate into mucic acid: biomass, glucose, galacturonate, mucic acid, carbon dioxide made and oxygen taken up at the end of every segment of the caller's feeding record, with carbon and electrons closed; six constants are fitted to this organism's own measurements, at a feed of 29.4 to 34.7 g/L glucose; on four held-back cultures fed 10 and 50 g/L it met three of its six lines and missed three (galacturonate, mucic acid and carbon dioxide), a second scoring confirmed it, and it is not validated against measurement. Since then it refuses by name a feed outside the fitted 29.375 to 34.676 g/L glucose and a record longer than 215 h, so the four held-back questions are refused today, and since 0.7.0 a starting biomass, glucose or galacturonate, a feed schedule, water, sample or broth volume outside the fitted cultures' own.", "base": "example_solve", "input": "parameters.segment_end_h[2]", "input_unit": "h", "whole_number_input": false, "base_value": 68.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 65.75226586100544, "inside_value_hex": "405070251fb5ba9a", "outside_value": 65.75226586100543, "outside_value_hex": "405070251fb5ba99", "width": 1.4210854715202004e-14, "adjacent_64_bit_numbers": true, "stop_name": "FeedRateOutOfRange", "stop_sentence": "Physical Violation: segment 2 is fed at 0.3310000000003312 mL/h, outside 0..=0.331 (FeedRateOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "c0a644cb929e59c852fc832475827ba7074b320a0acb7b9a42e05ebd4e6e2aac", "outside_proof": null, "inside_receipt": "b570ca7b940f9eb764e9a87319b2274a43485f66ca291941bf231baa7d7c23a7", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:43:53Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 65.75226586100544], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "inside_answer": "{\"inputs\":{\"solver\":\"culture_trichoderma_ambr250\",\"parameters\":{\"biomass_g_per_l\":0.9,\"glucose_g_per_l\":20.8,\"galacturonate_g_per_l\":4.6,\"feed_glucose_g_per_l\":32.0,\"feed_galacturonate_g_per_l\":94.0,\"segment_end_h\":[22.0,44.0,65.75226586100544],\"feed_ml\":[0.0,4.4,7.2],\"water_ml\":[-2.0,-1.0,0.5],\"sample_ml\":[4.3,4.3,4.3]}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"biomass_g_per_l\":[2.6767753850875478e0,7.531176727086241e0,8.99659401653849e0],\"biomass_g_per_l_hex\":[\"40056a09368d82b6\",\"401e1feccabced49\",\"4021fe419228d81d\"],\"glucose_g_per_l\":[1.6623662565785207e1,4.6049736365670375e0,9.163644584895221e-3],\"glucose_g_per_l_hex\":[\"40309fa85993c973\",\"40126b7e357ffd8f\",\"3f82c4638e6f30e4\"],\"galacturonate_g_per_l\":[4.471854158175703e0,7.215476683263333e0,7.573848104615258e0],\"galacturonate_g_per_l_hex\":[\"4011e32dbc876291\",\"401cdca5eb6eaa90\",\"401e4b9ed668c6c7\"],\"mucic_acid_g_per_l\":[2.2820997623395892e-1,1.265278095464639e0,6.807949269754892e0],\"mucic_acid_g_per_l_hex\":[\"3fcd35fc0845dc79\",\"3ff43e943e85da47\",\"401b3b570da9b287\"],\"volume_ml\":[1.0800000000001354e2,1.0710000000000029e2,1.1049999999999744e2],\"volume_ml_hex\":[\"405b0000000003b9\",\"405ac6666666667b\",\"405b9fffffffff4c\"],\"carbon_dioxide_mol\":[8.688286329587635e-3,3.289817739297752e-2,4.757438531971507e-2],\"carbon_dioxide_mol_hex\":[\"3f81cb2a0d26a186\",\"3fa0d807a8006ec1\",\"3fa85bab7a26a526\"],\"oxygen_mol\":[8.35917651308039e-3,3.1753673100536894e-2,4.7428312911572304e-2],\"oxygen_mol_hex\":[\"3f811e9dadf61c86\",\"3fa0420476fd46d0\",\"3fa8488619b8250a\"],\"carbon_supplied_mol\":1.4192548099566726e-1,\"carbon_supplied_mol_hex\":\"3fc22a9d39ac380c\"},\"invariants\":{\"carbon_residual\":1.188532446405526e-13,\"carbon_residual_hex\":\"3d40ba23b16f7813\",\"electron_residual\":1.1909060391554692e-13,\"electron_residual_hex\":\"3d40c2b0f22d807a\",\"settle_gap\":1.1372502939366314e-10,\"settle_gap_hex\":\"3ddf42b000000000\"},\"field_sha256\":\"294f56345a7eb06f74d89fa06d43197c678cc1e269b15017a4abe85bfb6ceebb\",\"seal_parts\":{\"inputs\":\"0df6ba45e3809d14a713302f7eadec868dde7a422101a44ac21aabe5d011d2bd\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"3e47d797847371da909e8ebeb438918b16ddbde11d2095be7870e8a9e43b42f5\",\"invariants\":\"8fb316438ffd1f1e3fe2fae58ad5b21d593463bc48e22b07cfffc10d3b8f8548\",\"field_sha256\":\"a936290d5308bfac1a3be5bcc7e3b2c786ea80a39c3edb3b4531c85c82b211ed\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"c0a644cb929e59c852fc832475827ba7074b320a0acb7b9a42e05ebd4e6e2aac\",\"receipt_sha256\":\"b570ca7b940f9eb764e9a87319b2274a43485f66ca291941bf231baa7d7c23a7\"}", "outside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 65.75226586100543], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "outside_answer": "Physical Violation: segment 2 is fed at 0.3310000000003312 mL/h, outside 0..=0.331 (FeedRateOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-07fefa519ab0", "model": "culture_trichoderma_ambr250", "solver": "culture_trichoderma_ambr250", "tool": "solve", "specimen": "One fed-batch culture of the fungus Trichoderma sp. VTT D-221704 in an ambr 250 vessel at pH 4.0 and 35 °C, turning D-galacturonate into mucic acid: biomass, glucose, galacturonate, mucic acid, carbon dioxide made and oxygen taken up at the end of every segment of the caller's feeding record, with carbon and electrons closed; six constants are fitted to this organism's own measurements, at a feed of 29.4 to 34.7 g/L glucose; on four held-back cultures fed 10 and 50 g/L it met three of its six lines and missed three (galacturonate, mucic acid and carbon dioxide), a second scoring confirmed it, and it is not validated against measurement. Since then it refuses by name a feed outside the fitted 29.375 to 34.676 g/L glucose and a record longer than 215 h, so the four held-back questions are refused today, and since 0.7.0 a starting biomass, glucose or galacturonate, a feed schedule, water, sample or broth volume outside the fitted cultures' own.", "base": "example_solve", "input": "parameters.segment_end_h[2]", "input_unit": "h", "whole_number_input": false, "base_value": 68.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 73.62962962965925, "inside_value_hex": "4052684bda12fea9", "outside_value": 73.62962962965926, "outside_value_hex": "4052684bda12feaa", "width": 1.4210854715202004e-14, "adjacent_64_bit_numbers": true, "stop_name": "FeedScheduleOutOfRange", "stop_sentence": "Physical Violation: segment 2, from 44 h to 73.62962962965926 h, is fed at 0.24299999999975697 mL/h, outside 0.243..=0.331, the feeds of the eight fitted cultures over those hours (FeedScheduleOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "79a4106d9c75daa7262c7fd48fcf398647ad440ab4342be1d11da803a127d9f1", "outside_proof": null, "inside_receipt": "22a5e5ee8fc60a719d256a888d25ad35946cb10decd3b5ff934a567e18fdcbe5", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:43:55Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 73.62962962965925], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "inside_answer": "{\"inputs\":{\"solver\":\"culture_trichoderma_ambr250\",\"parameters\":{\"biomass_g_per_l\":0.9,\"glucose_g_per_l\":20.8,\"galacturonate_g_per_l\":4.6,\"feed_glucose_g_per_l\":32.0,\"feed_galacturonate_g_per_l\":94.0,\"segment_end_h\":[22.0,44.0,73.62962962965925],\"feed_ml\":[0.0,4.4,7.2],\"water_ml\":[-2.0,-1.0,0.5],\"sample_ml\":[4.3,4.3,4.3]}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"biomass_g_per_l\":[2.6767753850875478e0,7.531176727086241e0,8.773700627850838e0],\"biomass_g_per_l_hex\":[\"40056a09368d82b6\",\"401e1feccabced49\",\"40218c227d1b072d\"],\"glucose_g_per_l\":[1.6623662565785207e1,4.6049736365670375e0,6.745253699511678e-3],\"glucose_g_per_l_hex\":[\"40309fa85993c973\",\"40126b7e357ffd8f\",\"3f7ba0e940ae9841\"],\"galacturonate_g_per_l\":[4.471854158175703e0,7.215476683263333e0,5.579937165965472e0],\"galacturonate_g_per_l_hex\":[\"4011e32dbc876291\",\"401cdca5eb6eaa90\",\"401651db0c6639fc\"],\"mucic_acid_g_per_l\":[2.2820997623395892e-1,1.265278095464639e0,8.94092717878487e0],\"mucic_acid_g_per_l_hex\":[\"3fcd35fc0845dc79\",\"3ff43e943e85da47\",\"4021e1c1350998dd\"],\"volume_ml\":[1.0800000000001354e2,1.0710000000000029e2,1.1049999999998946e2],\"volume_ml_hex\":[\"405b0000000003b9\",\"405ac6666666667b\",\"405b9ffffffffd1a\"],\"carbon_dioxide_mol\":[8.688286329587635e-3,3.289817739297752e-2,4.8664163002682816e-2],\"carbon_dioxide_mol_hex\":[\"3f81cb2a0d26a186\",\"3fa0d807a8006ec1\",\"3fa8ea82592adf6d\"],\"oxygen_mol\":[8.35917651308039e-3,3.1753673100536894e-2,4.9115680541774245e-2],\"oxygen_mol_hex\":[\"3f811e9dadf61c86\",\"3fa0420476fd46d0\",\"3fa925b0c34b9fda\"],\"carbon_supplied_mol\":1.4192548099566726e-1,\"carbon_supplied_mol_hex\":\"3fc22a9d39ac380c\"},\"invariants\":{\"carbon_residual\":1.188532446405526e-13,\"carbon_residual_hex\":\"3d40ba23b16f7813\",\"electron_residual\":1.1909060391554692e-13,\"electron_residual_hex\":\"3d40c2b0f22d807a\",\"settle_gap\":1.2743939237225277e-10,\"settle_gap_hex\":\"3de183e000000000\"},\"field_sha256\":\"3bff64229b9bc35eae12abff2a6111112c0c9aba5b4052cfda7ec6f22b6c0e04\",\"seal_parts\":{\"inputs\":\"296297ecf44a56eba29e349d4163fa1788c79909c25dd6ae90711bd653b9fe1e\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"a05df04002d9d7b258c5db903918e633085a8c0bcde45c1a76941ae74c49e51f\",\"invariants\":\"2ef453318ec816303a4d505343cf9e23d4e97478a971f8759b42efa38bdb7506\",\"field_sha256\":\"4c56be3c078a97c436c4a6713b5420206737c4f7feb156e854ae4ac04f4c366c\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"79a4106d9c75daa7262c7fd48fcf398647ad440ab4342be1d11da803a127d9f1\",\"receipt_sha256\":\"22a5e5ee8fc60a719d256a888d25ad35946cb10decd3b5ff934a567e18fdcbe5\"}", "outside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 73.62962962965926], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "outside_answer": "Physical Violation: segment 2, from 44 h to 73.62962962965926 h, is fed at 0.24299999999975697 mL/h, outside 0.243..=0.331, the feeds of the eight fitted cultures over those hours (FeedScheduleOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-9884a232a3a0", "model": "culture_trichoderma_ambr250", "solver": "culture_trichoderma_ambr250", "tool": "solve", "specimen": "One fed-batch culture of the fungus Trichoderma sp. VTT D-221704 in an ambr 250 vessel at pH 4.0 and 35 °C, turning D-galacturonate into mucic acid: biomass, glucose, galacturonate, mucic acid, carbon dioxide made and oxygen taken up at the end of every segment of the caller's feeding record, with carbon and electrons closed; six constants are fitted to this organism's own measurements, at a feed of 29.4 to 34.7 g/L glucose; on four held-back cultures fed 10 and 50 g/L it met three of its six lines and missed three (galacturonate, mucic acid and carbon dioxide), a second scoring confirmed it, and it is not validated against measurement. Since then it refuses by name a feed outside the fitted 29.375 to 34.676 g/L glucose and a record longer than 215 h, so the four held-back questions are refused today, and since 0.7.0 a starting biomass, glucose or galacturonate, a feed schedule, water, sample or broth volume outside the fitted cultures' own.", "base": "example_solve", "input": "parameters.feed_ml[1]", "input_unit": "mL", "whole_number_input": false, "base_value": 4.4, "edge_kind": "declared_limit", "direction": "down", "inside_value": 2.0085999999979918, "inside_value_hex": "4000119ce075e553", "outside_value": 2.0085999999979913, "outside_value_hex": "4000119ce075e552", "width": 4.440892098500626e-16, "adjacent_64_bit_numbers": true, "stop_name": "FeedScheduleOutOfRange", "stop_sentence": "Physical Violation: segment 1, from 22 h to 44 h, is fed at 0.09129999999990869 mL/h, outside 0.0913..=0.2234, the feeds of the eight fitted cultures over those hours (FeedScheduleOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "a50159c5e4880afd79ba557364db75dfc9c569fa6121065eef22770f12044ec9", "outside_proof": null, "inside_receipt": "fe42b873fffc9aabf4d9ac84c68e3e3230f20037e197a9cdc60055f8effa4589", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:43:57Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 2.0085999999979918, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "inside_answer": "{\"inputs\":{\"solver\":\"culture_trichoderma_ambr250\",\"parameters\":{\"biomass_g_per_l\":0.9,\"glucose_g_per_l\":20.8,\"galacturonate_g_per_l\":4.6,\"feed_glucose_g_per_l\":32.0,\"feed_galacturonate_g_per_l\":94.0,\"segment_end_h\":[22.0,44.0,68.0],\"feed_ml\":[0.0,2.0085999999979918,7.2],\"water_ml\":[-2.0,-1.0,0.5],\"sample_ml\":[4.3,4.3,4.3]}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"biomass_g_per_l\":[2.6767753850875478e0,7.6993497928554415e0,8.859958933599534e0],\"biomass_g_per_l_hex\":[\"40056a09368d82b6\",\"401ecc225a231d2e\",\"4021b84c898f6d13\"],\"glucose_g_per_l\":[1.6623662565785207e1,3.9886895579683794e0,8.57338250513087e-3],\"glucose_g_per_l_hex\":[\"40309fa85993c973\",\"400fe8d6122af793\",\"3f818eebebce1a0f\"],\"galacturonate_g_per_l\":[4.471854158175703e0,5.205569877701159e0,5.2245066672585825e0],\"galacturonate_g_per_l_hex\":[\"4011e32dbc876291\",\"4014d280e8f713a9\",\"4014e5e513667032\"],\"mucic_acid_g_per_l\":[2.2820997623395892e-1,1.3239869727588762e0,7.509810849859337e0],\"mucic_acid_g_per_l_hex\":[\"3fcd35fc0845dc79\",\"3ff52f0cf6c5454a\",\"401e0a0bdafd2ad2\"],\"volume_ml\":[1.0800000000001354e2,1.0470860000002556e2,1.0810860000003603e2],\"volume_ml_hex\":[\"405b0000000003b9\",\"405a2d59b3d0838b\",\"405b06f34d6a2006\"],\"carbon_dioxide_mol\":[8.688286329587635e-3,3.2882816454897636e-2,4.65827501396766e-2],\"carbon_dioxide_mol_hex\":[\"3f81cb2a0d26a186\",\"3fa0d6043a8c5e2d\",\"3fa7d9b1b8d0b78f\"],\"oxygen_mol\":[8.35917651308039e-3,3.1746378474666784e-2,4.664799249965386e-2],\"oxygen_mol_hex\":[\"3f811e9dadf61c86\",\"3fa0410fb2a15902\",\"3fa7e23ee46b8dda\"],\"carbon_supplied_mol\":1.3242952333851907e-1,\"carbon_supplied_mol_hex\":\"3fc0f3735be1c477\"},\"invariants\":{\"carbon_residual\":2.1566555997845925e-13,\"carbon_residual_hex\":\"3d4e5a2bb1f9cdac\",\"electron_residual\":2.1927596547862442e-13,\"electron_residual_hex\":\"3d4edc3fcef00480\",\"settle_gap\":1.1292566881593302e-10,\"settle_gap_hex\":\"3ddf0a7000000000\"},\"field_sha256\":\"8972d9465633b91f7a2c47622feb53f217f131363337cfce9400807bb82bc564\",\"seal_parts\":{\"inputs\":\"5728645924f22c367c97716ec1575275523a2af93a35ce478890180c1378fe07\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"c8f77d6d638f04996b75afeb11aa1aa228a47a31167b12b2857d14d4faf66fa6\",\"invariants\":\"a5a39365ad7e5c4ce21cf7d566680cabb769a4f8cce358a32b2bce9ffe3cd7e1\",\"field_sha256\":\"2cd4d5d829c87fe9f39a9dc6e6ea6ad85b0c7a5e5b0246ba2565b7ba04495ac5\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"a50159c5e4880afd79ba557364db75dfc9c569fa6121065eef22770f12044ec9\",\"receipt_sha256\":\"fe42b873fffc9aabf4d9ac84c68e3e3230f20037e197a9cdc60055f8effa4589\"}", "outside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 2.0085999999979913, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "outside_answer": "Physical Violation: segment 1, from 22 h to 44 h, is fed at 0.09129999999990869 mL/h, outside 0.0913..=0.2234, the feeds of the eight fitted cultures over those hours (FeedScheduleOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-af5a2d9d5d11", "model": "culture_trichoderma_ambr250", "solver": "culture_trichoderma_ambr250", "tool": "solve", "specimen": "One fed-batch culture of the fungus Trichoderma sp. VTT D-221704 in an ambr 250 vessel at pH 4.0 and 35 °C, turning D-galacturonate into mucic acid: biomass, glucose, galacturonate, mucic acid, carbon dioxide made and oxygen taken up at the end of every segment of the caller's feeding record, with carbon and electrons closed; six constants are fitted to this organism's own measurements, at a feed of 29.4 to 34.7 g/L glucose; on four held-back cultures fed 10 and 50 g/L it met three of its six lines and missed three (galacturonate, mucic acid and carbon dioxide), a second scoring confirmed it, and it is not validated against measurement. Since then it refuses by name a feed outside the fitted 29.375 to 34.676 g/L glucose and a record longer than 215 h, so the four held-back questions are refused today, and since 0.7.0 a starting biomass, glucose or galacturonate, a feed schedule, water, sample or broth volume outside the fitted cultures' own.", "base": "example_solve", "input": "parameters.feed_ml[1]", "input_unit": "mL", "whole_number_input": false, "base_value": 4.4, "edge_kind": "declared_limit", "direction": "up", "inside_value": 4.914800000004915, "inside_value_hex": "4013a8c154c99b8e", "outside_value": 4.914800000004916, "outside_value_hex": "4013a8c154c99b8f", "width": 8.881784197001252e-16, "adjacent_64_bit_numbers": true, "stop_name": "FeedScheduleOutOfRange", "stop_sentence": "Physical Violation: segment 1, from 22 h to 44 h, is fed at 0.22340000000022345 mL/h, outside 0.0913..=0.2234, the feeds of the eight fitted cultures over those hours (FeedScheduleOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "7ec5de1ca5eed758772364feb8330cc28e82b3d55585439f136cff678810fe1c", "outside_proof": null, "inside_receipt": "dfa3a7de831f0a9905a268e09b288f7bbb6c641e511061ee63df1c14384dcb7b", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:43:59Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.914800000004915, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "inside_answer": "{\"inputs\":{\"solver\":\"culture_trichoderma_ambr250\",\"parameters\":{\"biomass_g_per_l\":0.9,\"glucose_g_per_l\":20.8,\"galacturonate_g_per_l\":4.6,\"feed_glucose_g_per_l\":32.0,\"feed_galacturonate_g_per_l\":94.0,\"segment_end_h\":[22.0,44.0,68.0],\"feed_ml\":[0.0,4.914800000004915,7.2],\"water_ml\":[-2.0,-1.0,0.5],\"sample_ml\":[4.3,4.3,4.3]}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"biomass_g_per_l\":[2.6767753850875478e0,7.495864703188597e0,8.947729334321801e0],\"biomass_g_per_l_hex\":[\"40056a09368d82b6\",\"401dfbc3f4edbe3b\",\"4021e53cc780be75\"],\"glucose_g_per_l\":[1.6623662565785207e1,4.734271206524278e0,8.241751345080846e-3],\"glucose_g_per_l_hex\":[\"40309fa85993c973\",\"4012efe4ca89aa3a\",\"3f80e10d23e93d31\"],\"galacturonate_g_per_l\":[4.471854158175703e0,7.6361483660670055e0,7.372104732092673e0],\"galacturonate_g_per_l_hex\":[\"4011e32dbc876291\",\"401e8b6a7a2ea581\",\"401d7d0905dc1978\"],\"mucic_acid_g_per_l\":[2.2820997623395892e-1,1.2533224119995219e0,7.403955534522109e0],\"mucic_acid_g_per_l_hex\":[\"3fcd35fc0845dc79\",\"3ff40d9bcd2e1bca\",\"401d9da685073e1d\"],\"volume_ml\":[1.0800000000001354e2,1.07614799999998e2,1.1101480000000848e2],\"volume_ml_hex\":[\"405b0000000003b9\",\"405ae758e219649f\",\"405bc0f27bb3011a\"],\"carbon_dioxide_mol\":[8.688286329587635e-3,3.290111661763157e-2,4.816971586835981e-2],\"carbon_dioxide_mol_hex\":[\"3f81cb2a0d26a186\",\"3fa0d86a47bfccd9\",\"3fa8a9b3749fdafd\"],\"oxygen_mol\":[8.35917651308039e-3,3.1754980212629486e-2,4.8187292570744375e-2],\"oxygen_mol_hex\":[\"3f811e9dadf61c86\",\"3fa0423052ff2a74\",\"3fa8ac013b5927ae\"],\"carbon_supplied_mol\":1.4396968899179607e-1,\"carbon_supplied_mol_hex\":\"3fc26d9948eae318\"},\"invariants\":{\"carbon_residual\":1.188532446405526e-13,\"carbon_residual_hex\":\"3d40ba23b16f7813\",\"electron_residual\":1.1909060391554692e-13,\"electron_residual_hex\":\"3d40c2b0f22d807a\",\"settle_gap\":1.20632392963671e-10,\"settle_gap_hex\":\"3de0946000000000\"},\"field_sha256\":\"7797485aa1d37f5fb1da376204a619138d40bd4da29f32a18591023d9a986a9f\",\"seal_parts\":{\"inputs\":\"a4860300a764a579b3fcc7b71cb83e32e60841ec76b8ecb42ffcd4475f070dff\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"f252b97df198a560f6b5149da582d2403db91d4ab5e049cdd3c4c64d38b9953b\",\"invariants\":\"caaefde11acdec97abe7cd2edb23bd5a0899eeac35d16b997bf8815caf31c666\",\"field_sha256\":\"ec3016cedf7782fbf7d89eb33c98315de3608703853f9ac92c970810cf1460a6\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"7ec5de1ca5eed758772364feb8330cc28e82b3d55585439f136cff678810fe1c\",\"receipt_sha256\":\"dfa3a7de831f0a9905a268e09b288f7bbb6c641e511061ee63df1c14384dcb7b\"}", "outside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.914800000004916, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "outside_answer": "Physical Violation: segment 1, from 22 h to 44 h, is fed at 0.22340000000022345 mL/h, outside 0.0913..=0.2234, the feeds of the eight fitted cultures over those hours (FeedScheduleOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-69c3ccd7fc3e", "model": "culture_trichoderma_ambr250", "solver": "culture_trichoderma_ambr250", "tool": "solve", "specimen": "One fed-batch culture of the fungus Trichoderma sp. VTT D-221704 in an ambr 250 vessel at pH 4.0 and 35 °C, turning D-galacturonate into mucic acid: biomass, glucose, galacturonate, mucic acid, carbon dioxide made and oxygen taken up at the end of every segment of the caller's feeding record, with carbon and electrons closed; six constants are fitted to this organism's own measurements, at a feed of 29.4 to 34.7 g/L glucose; on four held-back cultures fed 10 and 50 g/L it met three of its six lines and missed three (galacturonate, mucic acid and carbon dioxide), a second scoring confirmed it, and it is not validated against measurement. Since then it refuses by name a feed outside the fitted 29.375 to 34.676 g/L glucose and a record longer than 215 h, so the four held-back questions are refused today, and since 0.7.0 a starting biomass, glucose or galacturonate, a feed schedule, water, sample or broth volume outside the fitted cultures' own.", "base": "example_solve", "input": "parameters.feed_ml[2]", "input_unit": "mL", "whole_number_input": false, "base_value": 7.2, "edge_kind": "declared_limit", "direction": "down", "inside_value": 5.831999999994168, "inside_value_hex": "401753f7ced8fce1", "outside_value": 5.831999999994167, "outside_value_hex": "401753f7ced8fce0", "width": 8.881784197001252e-16, "adjacent_64_bit_numbers": true, "stop_name": "FeedScheduleOutOfRange", "stop_sentence": "Physical Violation: segment 2, from 44 h to 68 h, is fed at 0.24299999999975697 mL/h, outside 0.243..=0.331, the feeds of the eight fitted cultures over those hours (FeedScheduleOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "ad4f8182e6c390d5de4304e195c745c10d9f66ae7edffe03c55baf039cb82777", "outside_proof": null, "inside_receipt": "6225053585065d870c03fcac1514bd61e1e8b38396acaafcf1a6e604a441f9fd", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:44:01Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 5.831999999994168], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "inside_answer": "{\"inputs\":{\"solver\":\"culture_trichoderma_ambr250\",\"parameters\":{\"biomass_g_per_l\":0.9,\"glucose_g_per_l\":20.8,\"galacturonate_g_per_l\":4.6,\"feed_glucose_g_per_l\":32.0,\"feed_galacturonate_g_per_l\":94.0,\"segment_end_h\":[22.0,44.0,68.0],\"feed_ml\":[0.0,4.4,5.831999999994168],\"water_ml\":[-2.0,-1.0,0.5],\"sample_ml\":[4.3,4.3,4.3]}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"biomass_g_per_l\":[2.6767753850875478e0,7.531176727086241e0,8.885851670196915e0],\"biomass_g_per_l_hex\":[\"40056a09368d82b6\",\"401e1feccabced49\",\"4021c58e59a13499\"],\"glucose_g_per_l\":[1.6623662565785207e1,4.6049736365670375e0,6.743470676511771e-3],\"glucose_g_per_l_hex\":[\"40309fa85993c973\",\"40126b7e357ffd8f\",\"3f7b9f0aa0464247\"],\"galacturonate_g_per_l\":[4.471854158175703e0,7.215476683263333e0,5.957552278246808e0],\"galacturonate_g_per_l_hex\":[\"4011e32dbc876291\",\"401cdca5eb6eaa90\",\"4017d488959d1f10\"],\"mucic_acid_g_per_l\":[2.2820997623395892e-1,1.265278095464639e0,7.463377705872984e0],\"mucic_acid_g_per_l_hex\":[\"3fcd35fc0845dc79\",\"3ff43e943e85da47\",\"401dda7faf71ae0e\"],\"volume_ml\":[1.0800000000001354e2,1.0710000000000029e2,1.091320000000114e2],\"volume_ml_hex\":[\"405b0000000003b9\",\"405ac6666666667b\",\"405b4872b020c7be\"],\"carbon_dioxide_mol\":[8.688286329587635e-3,3.289817739297752e-2,4.713827290584797e-2],\"carbon_dioxide_mol_hex\":[\"3f81cb2a0d26a186\",\"3fa0d807a8006ec1\",\"3fa82281f90a8435\"],\"oxygen_mol\":[8.35917651308039e-3,3.1753673100536894e-2,4.7186308051401324e-2],\"oxygen_mol_hex\":[\"3f811e9dadf61c86\",\"3fa0420476fd46d0\",\"3fa828cdc3ccac0e\"],\"carbon_supplied_mol\":1.364933198871019e-1,\"carbon_supplied_mol_hex\":\"3fc1789cf484cf10\"},\"invariants\":{\"carbon_residual\":1.188532446405526e-13,\"carbon_residual_hex\":\"3d40ba23b16f7813\",\"electron_residual\":1.1909060391554692e-13,\"electron_residual_hex\":\"3d40c2b0f22d807a\",\"settle_gap\":1.3000533982676643e-10,\"settle_gap_hex\":\"3de1de2800000000\"},\"field_sha256\":\"ba0e66a137763d4c0cfbb8d88e534f46eb840ea9e3e76b5d2c0cf7eaeec491d9\",\"seal_parts\":{\"inputs\":\"17d2f49edd69f2c8cfedca0bd5e2db14ea2569167c1f1676ba29b2d432017f59\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"b9b8551c082394c72524bce34fd1d4aab45b3d4ed134d2d1e26e8980058252c9\",\"invariants\":\"c6ad811c76b22e6ecc357e58925d6461d800391f3faa5a7359dd3f64e5f64b07\",\"field_sha256\":\"f4f2ee71c862e890fc1124f8fb27f7c6f5d6fe0283590eb8d80ef0b76bce6833\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"ad4f8182e6c390d5de4304e195c745c10d9f66ae7edffe03c55baf039cb82777\",\"receipt_sha256\":\"6225053585065d870c03fcac1514bd61e1e8b38396acaafcf1a6e604a441f9fd\"}", "outside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 5.831999999994167], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "outside_answer": "Physical Violation: segment 2, from 44 h to 68 h, is fed at 0.24299999999975697 mL/h, outside 0.243..=0.331, the feeds of the eight fitted cultures over those hours (FeedScheduleOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-132a6e720d09", "model": "culture_trichoderma_ambr250", "solver": "culture_trichoderma_ambr250", "tool": "solve", "specimen": "One fed-batch culture of the fungus Trichoderma sp. VTT D-221704 in an ambr 250 vessel at pH 4.0 and 35 °C, turning D-galacturonate into mucic acid: biomass, glucose, galacturonate, mucic acid, carbon dioxide made and oxygen taken up at the end of every segment of the caller's feeding record, with carbon and electrons closed; six constants are fitted to this organism's own measurements, at a feed of 29.4 to 34.7 g/L glucose; on four held-back cultures fed 10 and 50 g/L it met three of its six lines and missed three (galacturonate, mucic acid and carbon dioxide), a second scoring confirmed it, and it is not validated against measurement. Since then it refuses by name a feed outside the fitted 29.375 to 34.676 g/L glucose and a record longer than 215 h, so the four held-back questions are refused today, and since 0.7.0 a starting biomass, glucose or galacturonate, a feed schedule, water, sample or broth volume outside the fitted cultures' own.", "base": "example_solve", "input": "parameters.feed_ml[2]", "input_unit": "mL", "whole_number_input": false, "base_value": 7.2, "edge_kind": "declared_limit", "direction": "up", "inside_value": 7.944000000007945, "inside_value_hex": "401fc6a7ef9dd51e", "outside_value": 7.944000000007946, "outside_value_hex": "401fc6a7ef9dd51f", "width": 8.881784197001252e-16, "adjacent_64_bit_numbers": true, "stop_name": "FeedRateOutOfRange", "stop_sentence": "Physical Violation: segment 2 is fed at 0.3310000000003311 mL/h, outside 0..=0.331 (FeedRateOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "2af6eb73caf712cae41ca8dce78512c380128618b53e07dbdfdda0c2abead271", "outside_proof": null, "inside_receipt": "b1914342ff23fea18dc0e6f242651fafa2d7d24e808d3a0750371d0b80e5c237", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:44:02Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.944000000007945], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "inside_answer": "{\"inputs\":{\"solver\":\"culture_trichoderma_ambr250\",\"parameters\":{\"biomass_g_per_l\":0.9,\"glucose_g_per_l\":20.8,\"galacturonate_g_per_l\":4.6,\"feed_glucose_g_per_l\":32.0,\"feed_galacturonate_g_per_l\":94.0,\"segment_end_h\":[22.0,44.0,68.0],\"feed_ml\":[0.0,4.4,7.944000000007945],\"water_ml\":[-2.0,-1.0,0.5],\"sample_ml\":[4.3,4.3,4.3]}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"biomass_g_per_l\":[2.6767753850875478e0,7.531176727086241e0,8.957300074853688e0],\"biomass_g_per_l_hex\":[\"40056a09368d82b6\",\"401e1feccabced49\",\"4021ea233c43e8ee\"],\"glucose_g_per_l\":[1.6623662565785207e1,4.6049736365670375e0,9.140356291888163e-3],\"glucose_g_per_l_hex\":[\"40309fa85993c973\",\"40126b7e357ffd8f\",\"3f82b82ddac7928d\"],\"galacturonate_g_per_l\":[4.471854158175703e0,7.215476683263333e0,7.553502276621641e0],\"galacturonate_g_per_l_hex\":[\"4011e32dbc876291\",\"401cdca5eb6eaa90\",\"401e36c94d0167ee\"],\"mucic_acid_g_per_l\":[2.2820997623395892e-1,1.265278095464639e0,7.402515123636181e0],\"mucic_acid_g_per_l_hex\":[\"3fcd35fc0845dc79\",\"3ff43e943e85da47\",\"401d9c2cecb0a6b3\"],\"volume_ml\":[1.0800000000001354e2,1.0710000000000029e2,1.1124400000001884e2],\"volume_ml_hex\":[\"405b0000000003b9\",\"405ac6666666667b\",\"405bcf9db22d1384\"],\"carbon_dioxide_mol\":[8.688286329587635e-3,3.289817739297752e-2,4.8296826376323224e-2],\"carbon_dioxide_mol_hex\":[\"3f81cb2a0d26a186\",\"3fa0d807a8006ec1\",\"3fa8ba5c9392e45a\"],\"oxygen_mol\":[8.35917651308039e-3,3.1753673100536894e-2,4.8311451501816045e-2],\"oxygen_mol_hex\":[\"3f811e9dadf61c86\",\"3fa0420476fd46d0\",\"3fa8bc475071f751\"],\"carbon_supplied_mol\":1.4487981423016916e-1,\"carbon_supplied_mol_hex\":\"3fc28b6bf7fc0c84\"},\"invariants\":{\"carbon_residual\":1.188532446405526e-13,\"carbon_residual_hex\":\"3d40ba23b16f7813\",\"electron_residual\":1.1909060391554692e-13,\"electron_residual_hex\":\"3d40c2b0f22d807a\",\"settle_gap\":1.1374723385415564e-10,\"settle_gap_hex\":\"3ddf444000000000\"},\"field_sha256\":\"2f7cd54207d42da3feeebe987b213d45348527a35156a90a90eeb67d470cc241\",\"seal_parts\":{\"inputs\":\"dfe1bbf88fbad82d8449a6e4a73dcad62c69c6679ef45082f5a730e8b66af555\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"084cb426877944a5d589949ea3177fa42898def133bf8bf06a375d072489ef49\",\"invariants\":\"1e4034c2284d4b1e1d8001f7d8ac8b3b0cb79ad36b351e69881f0b251d621e04\",\"field_sha256\":\"55f0d6862385ceac5d24803653ea436c289ac2bb8a557157d03118b9e595fe28\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"2af6eb73caf712cae41ca8dce78512c380128618b53e07dbdfdda0c2abead271\",\"receipt_sha256\":\"b1914342ff23fea18dc0e6f242651fafa2d7d24e808d3a0750371d0b80e5c237\"}", "outside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.944000000007946], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "outside_answer": "Physical Violation: segment 2 is fed at 0.3310000000003311 mL/h, outside 0..=0.331 (FeedRateOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-1baec49a254f", "model": "culture_trichoderma_ambr250", "solver": "culture_trichoderma_ambr250", "tool": "solve", "specimen": "One fed-batch culture of the fungus Trichoderma sp. VTT D-221704 in an ambr 250 vessel at pH 4.0 and 35 °C, turning D-galacturonate into mucic acid: biomass, glucose, galacturonate, mucic acid, carbon dioxide made and oxygen taken up at the end of every segment of the caller's feeding record, with carbon and electrons closed; six constants are fitted to this organism's own measurements, at a feed of 29.4 to 34.7 g/L glucose; on four held-back cultures fed 10 and 50 g/L it met three of its six lines and missed three (galacturonate, mucic acid and carbon dioxide), a second scoring confirmed it, and it is not validated against measurement. Since then it refuses by name a feed outside the fitted 29.375 to 34.676 g/L glucose and a record longer than 215 h, so the four held-back questions are refused today, and since 0.7.0 a starting biomass, glucose or galacturonate, a feed schedule, water, sample or broth volume outside the fitted cultures' own.", "base": "example_solve", "input": "parameters.water_ml[0]", "input_unit": "mL", "whole_number_input": false, "base_value": -2.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": -6.512000000006512, "inside_value_hex": "c01a0c49ba5e51e3", "outside_value": -6.512000000006513, "outside_value_hex": "c01a0c49ba5e51e4", "width": 8.881784197001252e-16, "adjacent_64_bit_numbers": true, "stop_name": "WaterRateOutOfRange", "stop_sentence": "Physical Violation: segment 0 takes water at -0.296000000000296 mL/h, outside -0.296..=0.19 (WaterRateOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "244e78a98048b00245a30eeec5b92870954aa1442a1fbbca4d41ac7bb6df9fba", "outside_proof": null, "inside_receipt": "f696e008f78d21ab9400f6660b59029c702d6c5cfc3ef08c8febacd096713ab3", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:44:04Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-6.512000000006512, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "inside_answer": "{\"inputs\":{\"solver\":\"culture_trichoderma_ambr250\",\"parameters\":{\"biomass_g_per_l\":0.9,\"glucose_g_per_l\":20.8,\"galacturonate_g_per_l\":4.6,\"feed_glucose_g_per_l\":32.0,\"feed_galacturonate_g_per_l\":94.0,\"segment_end_h\":[22.0,44.0,68.0],\"feed_ml\":[0.0,4.4,7.2],\"water_ml\":[-6.512000000006512,-1.0,0.5],\"sample_ml\":[4.3,4.3,4.3]}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"biomass_g_per_l\":[2.7938402184332136e0,7.852646102879316e0,9.282706408269275e0],\"biomass_g_per_l_hex\":[\"400659c8e6835c77\",\"401f691c0f5bb6cc\",\"402290bee4f3c5b7\"],\"glucose_g_per_l\":[1.734755431687521e1,4.790197182177869e0,8.32772043286182e-3],\"glucose_g_per_l_hex\":[\"403158f951d8900a\",\"40132929733b6197\",\"3f810e1fb7466514\"],\"galacturonate_g_per_l\":[4.6712104168827615e0,7.557513286464538e0,7.331718065463503e0],\"galacturonate_g_per_l_hex\":[\"4012af51c894fbe4\",\"401e3ae4c351cd7c\",\"401d53ade68aa1ed\"],\"mucic_acid_g_per_l\":[2.3346706925961067e-1,1.285358894896685e0,7.677175555905265e0],\"mucic_acid_g_per_l_hex\":[\"3fcde23fb994dd03\",\"3ff490d47d13436f\",\"401eb56d82490e10\"],\"volume_ml\":[1.0348800000000814e2,1.0258799999999489e2,1.0598800000000537e2],\"volume_ml_hex\":[\"4059df3b645a1ee9\",\"4059a5a1cac081ab\",\"405a7f3b645a1e26\"],\"carbon_dioxide_mol\":[8.689669398704601e-3,3.2872689767830414e-2,4.781006428431484e-2],\"carbon_dioxide_mol_hex\":[\"3f81cbe3af0b3d6c\",\"3fa0d4b06ef8015f\",\"3fa87a8f8d0aa4f9\"],\"oxygen_mol\":[8.359355821898562e-3,3.172077442647248e-2,4.7823941315025736e-2],\"oxygen_mol_hex\":[\"3f811eb5bef727e0\",\"3fa03db49187eea1\",\"3fa87c612fd3e54c\"],\"carbon_supplied_mol\":1.4192548099566726e-1,\"carbon_supplied_mol_hex\":\"3fc22a9d39ac380c\"},\"invariants\":{\"carbon_residual\":1.3521185200277238e-13,\"carbon_residual_hex\":\"3d43078536fe0822\",\"electron_residual\":1.3542472664710574e-13,\"electron_residual_hex\":\"3d430f30a308f83f\",\"settle_gap\":1.3922818453693253e-10,\"settle_gap_hex\":\"3de322a800000000\"},\"field_sha256\":\"05f7f970df3bfd2297f46eb6006ddf74cb6ff6b01fd9c2d9eed23f8dff22f185\",\"seal_parts\":{\"inputs\":\"b0a2cf9d8ec1791197f38d378569bb49a1ded356b9dce68fa2d3cf1ca56a92c3\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"2c5f96aed03a9c10a12fed81458137420abd40f1270e4a0269d98e2058005dfc\",\"invariants\":\"396b4d8a868588156884295c45e9160bf85aa0161f14ff7e37b1fbe415b9e17c\",\"field_sha256\":\"9e9b3c922c3c9fe445f00dd318f6fcf4695c3d051438a642f95d7561be085648\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"244e78a98048b00245a30eeec5b92870954aa1442a1fbbca4d41ac7bb6df9fba\",\"receipt_sha256\":\"f696e008f78d21ab9400f6660b59029c702d6c5cfc3ef08c8febacd096713ab3\"}", "outside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-6.512000000006513, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "outside_answer": "Physical Violation: segment 0 takes water at -0.296000000000296 mL/h, outside -0.296..=0.19 (WaterRateOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-b8b71b94bc35", "model": "culture_trichoderma_ambr250", "solver": "culture_trichoderma_ambr250", "tool": "solve", "specimen": "One fed-batch culture of the fungus Trichoderma sp. VTT D-221704 in an ambr 250 vessel at pH 4.0 and 35 °C, turning D-galacturonate into mucic acid: biomass, glucose, galacturonate, mucic acid, carbon dioxide made and oxygen taken up at the end of every segment of the caller's feeding record, with carbon and electrons closed; six constants are fitted to this organism's own measurements, at a feed of 29.4 to 34.7 g/L glucose; on four held-back cultures fed 10 and 50 g/L it met three of its six lines and missed three (galacturonate, mucic acid and carbon dioxide), a second scoring confirmed it, and it is not validated against measurement. Since then it refuses by name a feed outside the fitted 29.375 to 34.676 g/L glucose and a record longer than 215 h, so the four held-back questions are refused today, and since 0.7.0 a starting biomass, glucose or galacturonate, a feed schedule, water, sample or broth volume outside the fitted cultures' own.", "base": "example_solve", "input": "parameters.water_ml[0]", "input_unit": "mL", "whole_number_input": false, "base_value": -2.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 4.1800000000041795, "inside_value_hex": "4010b851eb85311a", "outside_value": 4.18000000000418, "outside_value_hex": "4010b851eb85311b", "width": 8.881784197001252e-16, "adjacent_64_bit_numbers": true, "stop_name": "WaterRateOutOfRange", "stop_sentence": "Physical Violation: segment 0 takes water at 0.19000000000019002 mL/h, outside -0.296..=0.19 (WaterRateOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "6a2c458b41bb4379ef46f6b3bf964f42981716774ab9784ff0334a2719a8ad77", "outside_proof": null, "inside_receipt": "a05dc921b2425fafe020cca068f505d75d01c6ce2cb233b86609d0f26b74021f", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:44:06Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [4.1800000000041795, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "inside_answer": "{\"inputs\":{\"solver\":\"culture_trichoderma_ambr250\",\"parameters\":{\"biomass_g_per_l\":0.9,\"glucose_g_per_l\":20.8,\"galacturonate_g_per_l\":4.6,\"feed_glucose_g_per_l\":32.0,\"feed_galacturonate_g_per_l\":94.0,\"segment_end_h\":[22.0,44.0,68.0],\"feed_ml\":[0.0,4.4,7.2],\"water_ml\":[4.1800000000041795,-1.0,0.5],\"sample_ml\":[4.3,4.3,4.3]}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"biomass_g_per_l\":[2.5314488130546686e0,7.130766793167388e0,8.493224934301518e0],\"biomass_g_per_l_hex\":[\"400440683c3c8ae5\",\"401c85e7baf03a17\",\"4020fc87fa84cb25\"],\"glucose_g_per_l\":[1.5725006997962259e1,4.374519490827296e0,8.262862979042815e-3],\"glucose_g_per_l_hex\":[\"402f73341e033cf3\",\"40117f8209934570\",\"3f80ec1eb2216b58\"],\"galacturonate_g_per_l\":[4.224456110560879e0,6.791567825058696e0,6.584448285930849e0],\"galacturonate_g_per_l_hex\":[\"4010e5d7d298fc3f\",\"401b2a90c184c594\",\"401a56799c891ae2\"],\"mucic_acid_g_per_l\":[2.2159048716060192e-1,1.238926963162917e0,7.1043198206058324e0],\"mucic_acid_g_per_l_hex\":[\"3fcc5d13bbbad0ac\",\"3ff3d2a5144ead5d\",\"401c6ad2d0a74e7a\"],\"volume_ml\":[1.1417999999999807e2,1.1327999999998482e2,1.166799999999953e2],\"volume_ml_hex\":[\"405c8b851eb85164\",\"405c51eb851eb426\",\"405d2b851eb850a1\"],\"carbon_dioxide_mol\":[8.686389565342564e-3,3.292739883199491e-2,4.798635877042383e-2],\"carbon_dioxide_mol_hex\":[\"3f81ca2b78d3e3de\",\"3fa0dbdc2a40647f\",\"3fa891ab03256c76\"],\"oxygen_mol\":[8.358903731031982e-3,3.179292204073518e-2,4.8029167286585225e-2],\"oxygen_mol_hex\":[\"3f811e79113dd6be\",\"3fa0472970d18746\",\"3fa897476d7fff8e\"],\"carbon_supplied_mol\":1.4192548099566726e-1,\"carbon_supplied_mol_hex\":\"3fc22a9d39ac380c\"},\"invariants\":{\"carbon_residual\":1.278368562030565e-13,\"carbon_residual_hex\":\"3d41fdcee2811e69\",\"electron_residual\":1.3010477896493878e-13,\"electron_residual_hex\":\"3d424f84c7b8fc01\",\"settle_gap\":9.737188833014443e-11,\"settle_gap_hex\":\"3ddac3f000000000\"},\"field_sha256\":\"7ce1d5a44cbcef0a5f242b78adaaf4abf687e92fc468ddd6a53b6a89509b3d54\",\"seal_parts\":{\"inputs\":\"b21fafe6bb970134cf228c3eec4c2d176b545d3619bb7398cde3982e8aeb320d\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"7bf2299b2ed30aba7b945391823894c0224948fa4424cd3a447fbb27f091010a\",\"invariants\":\"db33b28a41066d031cbb66bb7d7cbc890f77e748d6fe8b4f88108c413a0a6a62\",\"field_sha256\":\"e381779ce735e4d26d145e14ef1bb483cc65cfdc3e90cdd2c1c22212621b094c\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"6a2c458b41bb4379ef46f6b3bf964f42981716774ab9784ff0334a2719a8ad77\",\"receipt_sha256\":\"a05dc921b2425fafe020cca068f505d75d01c6ce2cb233b86609d0f26b74021f\"}", "outside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [4.18000000000418, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "outside_answer": "Physical Violation: segment 0 takes water at 0.19000000000019002 mL/h, outside -0.296..=0.19 (WaterRateOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-4ee8ca6d3bac", "model": "culture_trichoderma_ambr250", "solver": "culture_trichoderma_ambr250", "tool": "solve", "specimen": "One fed-batch culture of the fungus Trichoderma sp. VTT D-221704 in an ambr 250 vessel at pH 4.0 and 35 °C, turning D-galacturonate into mucic acid: biomass, glucose, galacturonate, mucic acid, carbon dioxide made and oxygen taken up at the end of every segment of the caller's feeding record, with carbon and electrons closed; six constants are fitted to this organism's own measurements, at a feed of 29.4 to 34.7 g/L glucose; on four held-back cultures fed 10 and 50 g/L it met three of its six lines and missed three (galacturonate, mucic acid and carbon dioxide), a second scoring confirmed it, and it is not validated against measurement. Since then it refuses by name a feed outside the fitted 29.375 to 34.676 g/L glucose and a record longer than 215 h, so the four held-back questions are refused today, and since 0.7.0 a starting biomass, glucose or galacturonate, a feed schedule, water, sample or broth volume outside the fitted cultures' own.", "base": "example_solve", "input": "parameters.water_ml[1]", "input_unit": "mL", "whole_number_input": false, "base_value": -1.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": -5.80000000009801, "inside_value_hex": "c01733333334e241", "outside_value": -5.800000000098011, "outside_value_hex": "c01733333334e242", "width": 8.881784197001252e-16, "adjacent_64_bit_numbers": true, "stop_name": "VolumeOutOfRange", "stop_sentence": "Physical Violation: the broth is 97.99999999990199 mL at the end of segment 1, outside 98..=122.15 (VolumeOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "efa0213048fe3c5f82840f58701ce803dcb0a35dedf08c508e95473f6a761619", "outside_proof": null, "inside_receipt": "b9d3a46093f41f9c0f01d2d04e1d0a0c74ca3581e0b618d84e38b430298b28de", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:44:08Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -5.80000000009801, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "inside_answer": "{\"inputs\":{\"solver\":\"culture_trichoderma_ambr250\",\"parameters\":{\"biomass_g_per_l\":0.9,\"glucose_g_per_l\":20.8,\"galacturonate_g_per_l\":4.6,\"feed_glucose_g_per_l\":32.0,\"feed_galacturonate_g_per_l\":94.0,\"segment_end_h\":[22.0,44.0,68.0],\"feed_ml\":[0.0,4.4,7.2],\"water_ml\":[-2.0,-5.80000000009801,0.5],\"sample_ml\":[4.3,4.3,4.3]}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"biomass_g_per_l\":[2.6767753850875478e0,7.886832525736626e0,9.321487005505698e0],\"biomass_g_per_l_hex\":[\"40056a09368d82b6\",\"401f8c1dd35c4584\",\"4022a499f1dd78ce\"],\"glucose_g_per_l\":[1.6623662565785207e1,4.815411340304987e0,8.314664468569917e-3],\"glucose_g_per_l_hex\":[\"40309fa85993c973\",\"401342fb30bd96fc\",\"3f8107475fc1fd17\"],\"galacturonate_g_per_l\":[4.471854158175703e0,7.572651719155071e0,7.337381011559431e0],\"galacturonate_g_per_l_hex\":[\"4011e32dbc876291\",\"401e4a65365713ab\",\"401d597a686bc1b2\"],\"mucic_acid_g_per_l\":[2.2820997623395892e-1,1.304728443711592e0,7.720848328160429e0],\"mucic_acid_g_per_l_hex\":[\"3fcd35fc0845dc79\",\"3ff4e02aeebe6fad\",\"401ee226106b4d20\"],\"volume_ml\":[1.0800000000001354e2,1.0229999999991556e2,1.0569999999992604e2],\"volume_ml_hex\":[\"405b0000000003b9\",\"4059933333331bfd\",\"405a6cccccccb878\"],\"carbon_dioxide_mol\":[8.688286329587635e-3,3.29071654846779e-2,4.78676127212046e-2],\"carbon_dioxide_mol_hex\":[\"3f81cb2a0d26a186\",\"3fa0d9353f1f1ad4\",\"3fa8821a8e59af88\"],\"oxygen_mol\":[8.35917651308039e-3,3.1757452337061065e-2,4.78850446943283e-2],\"oxygen_mol_hex\":[\"3f811e9dadf61c86\",\"3fa0428346624810\",\"3fa8846379dbf98f\"],\"carbon_supplied_mol\":1.4192548099566726e-1,\"carbon_supplied_mol_hex\":\"3fc22a9d39ac380c\"},\"invariants\":{\"carbon_residual\":1.3748179340947802e-13,\"carbon_residual_hex\":\"3d43594dba99d238\",\"electron_residual\":1.413650172432112e-13,\"electron_residual_hex\":\"3d43e53625a3caeb\",\"settle_gap\":1.4172485407470958e-10,\"settle_gap_hex\":\"3de37a8000000000\"},\"field_sha256\":\"076a8bc209487d7463de74fcbe8c990bbccdf812ed3ef03bfef75253e32eea55\",\"seal_parts\":{\"inputs\":\"a8540c4bf059b57351b5e49e35c437aac7a93bf0bc2a7658fb9082cdd4efbbf2\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"27246a11955d2ebd7b14a82242bf94231c1a209d46a9503a2245c788671a1ab3\",\"invariants\":\"a0f4dba025828b4f3f38cae224e2e67065c9bccb85518abe4e8ef751ca2a71a8\",\"field_sha256\":\"5d9597e9a0a839a2bf18876d5d178780f3b3c5ebd24fd4d52b994de490e86f84\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"efa0213048fe3c5f82840f58701ce803dcb0a35dedf08c508e95473f6a761619\",\"receipt_sha256\":\"b9d3a46093f41f9c0f01d2d04e1d0a0c74ca3581e0b618d84e38b430298b28de\"}", "outside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -5.800000000098011, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "outside_answer": "Physical Violation: the broth is 97.99999999990199 mL at the end of segment 1, outside 98..=122.15 (VolumeOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-0adbf280e675", "model": "culture_trichoderma_ambr250", "solver": "culture_trichoderma_ambr250", "tool": "solve", "specimen": "One fed-batch culture of the fungus Trichoderma sp. VTT D-221704 in an ambr 250 vessel at pH 4.0 and 35 °C, turning D-galacturonate into mucic acid: biomass, glucose, galacturonate, mucic acid, carbon dioxide made and oxygen taken up at the end of every segment of the caller's feeding record, with carbon and electrons closed; six constants are fitted to this organism's own measurements, at a feed of 29.4 to 34.7 g/L glucose; on four held-back cultures fed 10 and 50 g/L it met three of its six lines and missed three (galacturonate, mucic acid and carbon dioxide), a second scoring confirmed it, and it is not validated against measurement. Since then it refuses by name a feed outside the fitted 29.375 to 34.676 g/L glucose and a record longer than 215 h, so the four held-back questions are refused today, and since 0.7.0 a starting biomass, glucose or galacturonate, a feed schedule, water, sample or broth volume outside the fitted cultures' own.", "base": "example_solve", "input": "parameters.water_ml[1]", "input_unit": "mL", "whole_number_input": false, "base_value": -1.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 4.1800000000041795, "inside_value_hex": "4010b851eb85311a", "outside_value": 4.18000000000418, "outside_value_hex": "4010b851eb85311b", "width": 8.881784197001252e-16, "adjacent_64_bit_numbers": true, "stop_name": "WaterRateOutOfRange", "stop_sentence": "Physical Violation: segment 1 takes water at 0.19000000000019002 mL/h, outside -0.296..=0.19 (WaterRateOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "8cf0892cac3b63d8b186aa93057e281ec4c0c12ae78f937ded1398d12e3ee086", "outside_proof": null, "inside_receipt": "a964e07d065b38384a007b27d00964bee00902302241277aa7aaae5a7d337248", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:44:10Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, 4.1800000000041795, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "inside_answer": "{\"inputs\":{\"solver\":\"culture_trichoderma_ambr250\",\"parameters\":{\"biomass_g_per_l\":0.9,\"glucose_g_per_l\":20.8,\"galacturonate_g_per_l\":4.6,\"feed_glucose_g_per_l\":32.0,\"feed_galacturonate_g_per_l\":94.0,\"segment_end_h\":[22.0,44.0,68.0],\"feed_ml\":[0.0,4.4,7.2],\"water_ml\":[-2.0,4.1800000000041795,0.5],\"sample_ml\":[4.3,4.3,4.3]}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"biomass_g_per_l\":[2.6767753850875478e0,7.181484421227681e0,8.547362991814559e0],\"biomass_g_per_l_hex\":[\"40056a09368d82b6\",\"401cb9d70d57a022\",\"4021183ff649c4bc\"],\"glucose_g_per_l\":[1.6623662565785207e1,4.398050848620223e0,8.283046020881047e-3],\"glucose_g_per_l_hex\":[\"40309fa85993c973\",\"4011979aa443e029\",\"3f80f6b39e2ae647\"],\"galacturonate_g_per_l\":[4.471854158175703e0,6.8647965073131845e0,6.664052381509989e0],\"galacturonate_g_per_l_hex\":[\"4011e32dbc876291\",\"401b758d37326bad\",\"401aa7fd58f5aa4f\"],\"mucic_acid_g_per_l\":[2.2820997623395892e-1,1.2259427426110756e0,7.1289537915286125e0],\"mucic_acid_g_per_l_hex\":[\"3fcd35fc0845dc79\",\"3ff39d76232487a4\",\"401c840c76753e0c\"],\"volume_ml\":[1.0800000000001354e2,1.1228000000004045e2,1.1568000000005092e2],\"volume_ml_hex\":[\"405b0000000003b9\",\"405c11eb851ec370\",\"405ceb851eb85feb\"],\"carbon_dioxide_mol\":[8.688286329587635e-3,3.288847755844549e-2,4.7909447359982635e-2],\"carbon_dioxide_mol_hex\":[\"3f81cb2a0d26a186\",\"3fa0d6c22f0eb8c1\",\"3fa887964b293f06\"],\"oxygen_mol\":[8.35917651308039e-3,3.1749451052472864e-2,4.7945128709232634e-2],\"oxygen_mol_hex\":[\"3f811e9dadf61c86\",\"3fa04176cbdf65d3\",\"3fa88c438f9e0952\"],\"carbon_supplied_mol\":1.4192548099566726e-1,\"carbon_supplied_mol_hex\":\"3fc22a9d39ac380c\"},\"invariants\":{\"carbon_residual\":2.546941196382735e-13,\"carbon_residual_hex\":\"3d51ec294f7dae7a\",\"electron_residual\":2.582709845821718e-13,\"electron_residual_hex\":\"3d522c98b045ab7a\",\"settle_gap\":9.99991200956174e-11,\"settle_gap_hex\":\"3ddb7cd000000000\"},\"field_sha256\":\"dcd5c864e07feb0213aaddd34e37ad5c33bca35e04a6bf92a530b1fbf81eed46\",\"seal_parts\":{\"inputs\":\"fe861efaac943f73b83bc2623a8417bbe3ffc26cc020f417e4679de962925a2f\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"7a71671f2667394fcdd195a488a0f2dd31aba0756cd36dfee9d351a980d464d3\",\"invariants\":\"251a36eae998e5429c156cabe3c6829e9353c6bd8a8355d0ed678f8678531e18\",\"field_sha256\":\"32afc71b1b9f12082835816fc976924eecd116d6d783b6d82bc38822f9085d1e\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"8cf0892cac3b63d8b186aa93057e281ec4c0c12ae78f937ded1398d12e3ee086\",\"receipt_sha256\":\"a964e07d065b38384a007b27d00964bee00902302241277aa7aaae5a7d337248\"}", "outside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, 4.18000000000418, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "outside_answer": "Physical Violation: segment 1 takes water at 0.19000000000019002 mL/h, outside -0.296..=0.19 (WaterRateOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-b7345fc3e5f4", "model": "culture_trichoderma_ambr250", "solver": "culture_trichoderma_ambr250", "tool": "solve", "specimen": "One fed-batch culture of the fungus Trichoderma sp. VTT D-221704 in an ambr 250 vessel at pH 4.0 and 35 °C, turning D-galacturonate into mucic acid: biomass, glucose, galacturonate, mucic acid, carbon dioxide made and oxygen taken up at the end of every segment of the caller's feeding record, with carbon and electrons closed; six constants are fitted to this organism's own measurements, at a feed of 29.4 to 34.7 g/L glucose; on four held-back cultures fed 10 and 50 g/L it met three of its six lines and missed three (galacturonate, mucic acid and carbon dioxide), a second scoring confirmed it, and it is not validated against measurement. Since then it refuses by name a feed outside the fitted 29.375 to 34.676 g/L glucose and a record longer than 215 h, so the four held-back questions are refused today, and since 0.7.0 a starting biomass, glucose or galacturonate, a feed schedule, water, sample or broth volume outside the fitted cultures' own.", "base": "example_solve", "input": "parameters.water_ml[2]", "input_unit": "mL", "whole_number_input": false, "base_value": 0.5, "edge_kind": "declared_limit", "direction": "down", "inside_value": -7.104000000007104, "inside_value_hex": "c01c6a7ef9db420f", "outside_value": -7.104000000007105, "outside_value_hex": "c01c6a7ef9db4210", "width": 8.881784197001252e-16, "adjacent_64_bit_numbers": true, "stop_name": "WaterRateOutOfRange", "stop_sentence": "Physical Violation: segment 2 takes water at -0.296000000000296 mL/h, outside -0.296..=0.19 (WaterRateOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "b1477543f8412758925f05ac6ea2684b170ce856bc1477788905b90e79381abd", "outside_proof": null, "inside_receipt": "35a2800a4fc9f352015fa8f6e125b18c522e1e8ce24ea8aa10ff1a962a6482a4", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:44:12Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, -7.104000000007104], \"sample_ml\": [4.3, 4.3, 4.3]}}", "inside_answer": "{\"inputs\":{\"solver\":\"culture_trichoderma_ambr250\",\"parameters\":{\"biomass_g_per_l\":0.9,\"glucose_g_per_l\":20.8,\"galacturonate_g_per_l\":4.6,\"feed_glucose_g_per_l\":32.0,\"feed_galacturonate_g_per_l\":94.0,\"segment_end_h\":[22.0,44.0,68.0],\"feed_ml\":[0.0,4.4,7.2],\"water_ml\":[-2.0,-1.0,-7.104000000007104],\"sample_ml\":[4.3,4.3,4.3]}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"biomass_g_per_l\":[2.6767753850875478e0,7.531176727086241e0,9.592786894366023e0],\"biomass_g_per_l_hex\":[\"40056a09368d82b6\",\"401e1feccabced49\",\"40232f81c3899955\"],\"glucose_g_per_l\":[1.6623662565785207e1,4.6049736365670375e0,8.300887255544452e-3],\"glucose_g_per_l_hex\":[\"40309fa85993c973\",\"40126b7e357ffd8f\",\"3f81000e3a52a13f\"],\"galacturonate_g_per_l\":[4.471854158175703e0,7.215476683263333e0,7.514813653315915e0],\"galacturonate_g_per_l_hex\":[\"4011e32dbc876291\",\"401cdca5eb6eaa90\",\"401e0f2b4f721ac4\"],\"mucic_acid_g_per_l\":[2.2820997623395892e-1,1.265278095464639e0,7.972951121704059e0],\"mucic_acid_g_per_l_hex\":[\"3fcd35fc0845dc79\",\"3ff43e943e85da47\",\"401fe44d4c814d43\"],\"volume_ml\":[1.0800000000001354e2,1.0710000000000029e2,1.0289600000000306e2],\"volume_ml_hex\":[\"405b0000000003b9\",\"405ac6666666667b\",\"4059b95810624eaa\"],\"carbon_dioxide_mol\":[8.688286329587635e-3,3.289817739297752e-2,4.788984812589677e-2],\"carbon_dioxide_mol_hex\":[\"3f81cb2a0d26a186\",\"3fa0d807a8006ec1\",\"3fa88504a705b34b\"],\"oxygen_mol\":[8.35917651308039e-3,3.1753673100536894e-2,4.791634859465679e-2],\"oxygen_mol_hex\":[\"3f811e9dadf61c86\",\"3fa0420476fd46d0\",\"3fa8887ddc50c963\"],\"carbon_supplied_mol\":1.4192548099566726e-1,\"carbon_supplied_mol_hex\":\"3fc22a9d39ac380c\"},\"invariants\":{\"carbon_residual\":1.188532446405526e-13,\"carbon_residual_hex\":\"3d40ba23b16f7813\",\"electron_residual\":1.1909060391554692e-13,\"electron_residual_hex\":\"3d40c2b0f22d807a\",\"settle_gap\":1.3373746554634636e-10,\"settle_gap_hex\":\"3de2617800000000\"},\"field_sha256\":\"bffcf4146e7c170700a42d0c42452150e0f5ab3b7799638c710d2f77e35162ad\",\"seal_parts\":{\"inputs\":\"8e0fe4724969a55c8328232632e4c0a6315cd00564f6a108bbca33f3d3046ed9\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"d539342db1aee477b0dc548216a8b3caed50aedd54eae28dd0cd6482f1093231\",\"invariants\":\"fe52c8286fea76923cdd5ae8b8761a025a6f070f8233db27a6d2718612cbe0cb\",\"field_sha256\":\"c7875d5fedcda07d160fe7abbd0b15c46ac4e34451f175fa6e05f2f5e086ba28\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"b1477543f8412758925f05ac6ea2684b170ce856bc1477788905b90e79381abd\",\"receipt_sha256\":\"35a2800a4fc9f352015fa8f6e125b18c522e1e8ce24ea8aa10ff1a962a6482a4\"}", "outside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, -7.104000000007105], \"sample_ml\": [4.3, 4.3, 4.3]}}", "outside_answer": "Physical Violation: segment 2 takes water at -0.296000000000296 mL/h, outside -0.296..=0.19 (WaterRateOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-0fdc88dc0e69", "model": "culture_trichoderma_ambr250", "solver": "culture_trichoderma_ambr250", "tool": "solve", "specimen": "One fed-batch culture of the fungus Trichoderma sp. VTT D-221704 in an ambr 250 vessel at pH 4.0 and 35 °C, turning D-galacturonate into mucic acid: biomass, glucose, galacturonate, mucic acid, carbon dioxide made and oxygen taken up at the end of every segment of the caller's feeding record, with carbon and electrons closed; six constants are fitted to this organism's own measurements, at a feed of 29.4 to 34.7 g/L glucose; on four held-back cultures fed 10 and 50 g/L it met three of its six lines and missed three (galacturonate, mucic acid and carbon dioxide), a second scoring confirmed it, and it is not validated against measurement. Since then it refuses by name a feed outside the fitted 29.375 to 34.676 g/L glucose and a record longer than 215 h, so the four held-back questions are refused today, and since 0.7.0 a starting biomass, glucose or galacturonate, a feed schedule, water, sample or broth volume outside the fitted cultures' own.", "base": "example_solve", "input": "parameters.water_ml[2]", "input_unit": "mL", "whole_number_input": false, "base_value": 0.5, "edge_kind": "declared_limit", "direction": "up", "inside_value": 4.5600000000045595, "inside_value_hex": "40123d70a3d71e4b", "outside_value": 4.56000000000456, "outside_value_hex": "40123d70a3d71e4c", "width": 8.881784197001252e-16, "adjacent_64_bit_numbers": true, "stop_name": "WaterRateOutOfRange", "stop_sentence": "Physical Violation: segment 2 takes water at 0.19000000000019002 mL/h, outside -0.296..=0.19 (WaterRateOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "2ad335f24a7d930379e01a313a93e1fbc90dc4ff2c3f21d3e511ed01c51bc7e0", "outside_proof": null, "inside_receipt": "8f0b9b6fe5f2544f607d8d25be61011f4909a48f281605f6ac747ec0554c4759", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:44:14Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 4.5600000000045595], \"sample_ml\": [4.3, 4.3, 4.3]}}", "inside_answer": "{\"inputs\":{\"solver\":\"culture_trichoderma_ambr250\",\"parameters\":{\"biomass_g_per_l\":0.9,\"glucose_g_per_l\":20.8,\"galacturonate_g_per_l\":4.6,\"feed_glucose_g_per_l\":32.0,\"feed_galacturonate_g_per_l\":94.0,\"segment_end_h\":[22.0,44.0,68.0],\"feed_ml\":[0.0,4.4,7.2],\"water_ml\":[-2.0,-1.0,4.5600000000045595],\"sample_ml\":[4.3,4.3,4.3]}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"biomass_g_per_l\":[2.6767753850875478e0,7.531176727086241e0,8.615763932672465e0],\"biomass_g_per_l_hex\":[\"40056a09368d82b6\",\"401e1feccabced49\",\"40213b456901c4e8\"],\"glucose_g_per_l\":[1.6623662565785207e1,4.6049736365670375e0,8.297515217860355e-3],\"glucose_g_per_l_hex\":[\"40309fa85993c973\",\"40126b7e357ffd8f\",\"3f80fe49a3fd7c75\"],\"galacturonate_g_per_l\":[4.471854158175703e0,7.215476683263333e0,6.7501335815360575e0],\"galacturonate_g_per_l_hex\":[\"4011e32dbc876291\",\"401cdca5eb6eaa90\",\"401b00230481509b\"],\"mucic_acid_g_per_l\":[2.2820997623395892e-1,1.265278095464639e0,7.160703400329859e0],\"mucic_acid_g_per_l_hex\":[\"3fcd35fc0845dc79\",\"3ff43e943e85da47\",\"401ca48f6ea31749\"],\"volume_ml\":[1.0800000000001354e2,1.0710000000000029e2,1.1455999999999207e2],\"volume_ml_hex\":[\"405b0000000003b9\",\"405ac6666666667b\",\"405ca3d70a3d6e76\"],\"carbon_dioxide_mol\":[8.688286329587635e-3,3.289817739297752e-2,4.78881416923178e-2],\"carbon_dioxide_mol_hex\":[\"3f81cb2a0d26a186\",\"3fa0d807a8006ec1\",\"3fa884cb64de937f\"],\"oxygen_mol\":[8.35917651308039e-3,3.1753673100536894e-2,4.7914591516539894e-2],\"oxygen_mol_hex\":[\"3f811e9dadf61c86\",\"3fa0420476fd46d0\",\"3fa88842e7212553\"],\"carbon_supplied_mol\":1.4192548099566726e-1,\"carbon_supplied_mol_hex\":\"3fc22a9d39ac380c\"},\"invariants\":{\"carbon_residual\":1.188532446405526e-13,\"carbon_residual_hex\":\"3d40ba23b16f7813\",\"electron_residual\":1.1909060391554692e-13,\"electron_residual_hex\":\"3d40c2b0f22d807a\",\"settle_gap\":1.1243539432825855e-10,\"settle_gap_hex\":\"3ddee7f000000000\"},\"field_sha256\":\"77e1ad0d5163424e495400fd5c6d8d192a0ded939aff8a85da2c2fe8b85fb95f\",\"seal_parts\":{\"inputs\":\"835dc7e441d92a7b8388ef249bed78eb5df18fc293570c2c70d34b7181f7324f\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"90091498985cb9dd4eb3ed6a128fa6bc9ab62600c337885e936b79b9c09c88ec\",\"invariants\":\"64abded1f8fce655554ca2efbfcc2e649eadd7b07ad6e228b882c0520ceeea06\",\"field_sha256\":\"5de82b32be4e9a50b78568d5954f8c75133d862f9ac1409ea56c43a407273c05\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"2ad335f24a7d930379e01a313a93e1fbc90dc4ff2c3f21d3e511ed01c51bc7e0\",\"receipt_sha256\":\"8f0b9b6fe5f2544f607d8d25be61011f4909a48f281605f6ac747ec0554c4759\"}", "outside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 4.56000000000456], \"sample_ml\": [4.3, 4.3, 4.3]}}", "outside_answer": "Physical Violation: segment 2 takes water at 0.19000000000019002 mL/h, outside -0.296..=0.19 (WaterRateOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-d72048047a2e", "model": "culture_trichoderma_ambr250", "solver": "culture_trichoderma_ambr250", "tool": "solve", "specimen": "One fed-batch culture of the fungus Trichoderma sp. VTT D-221704 in an ambr 250 vessel at pH 4.0 and 35 °C, turning D-galacturonate into mucic acid: biomass, glucose, galacturonate, mucic acid, carbon dioxide made and oxygen taken up at the end of every segment of the caller's feeding record, with carbon and electrons closed; six constants are fitted to this organism's own measurements, at a feed of 29.4 to 34.7 g/L glucose; on four held-back cultures fed 10 and 50 g/L it met three of its six lines and missed three (galacturonate, mucic acid and carbon dioxide), a second scoring confirmed it, and it is not validated against measurement. Since then it refuses by name a feed outside the fitted 29.375 to 34.676 g/L glucose and a record longer than 215 h, so the four held-back questions are refused today, and since 0.7.0 a starting biomass, glucose or galacturonate, a feed schedule, water, sample or broth volume outside the fitted cultures' own.", "base": "example_solve", "input": "parameters.sample_ml[0]", "input_unit": "mL", "whole_number_input": false, "base_value": 4.3, "edge_kind": "declared_limit", "direction": "up", "inside_value": 4.3, "inside_value_hex": "4011333333333333", "outside_value": 4.300000000000001, "outside_value_hex": "4011333333333334", "width": 8.881784197001252e-16, "adjacent_64_bit_numbers": true, "stop_name": "SampleOutOfRange", "stop_sentence": "Physical Violation: segment 0 ends with a sample of 4.300000000000001 mL, outside 0..=4.3 (SampleOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "0a19cd46ee713b7d1cfc2a8d53c0a09a3ac14dc0a84bf3c731e63a1d220cda8a", "outside_proof": null, "inside_receipt": "e285c7f0c195013a159dd6838aea97dd987b052a72ff7f309b050132982941af", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:44:16Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "inside_answer": "{\"inputs\":{\"solver\":\"culture_trichoderma_ambr250\",\"parameters\":{\"biomass_g_per_l\":0.9,\"glucose_g_per_l\":20.8,\"galacturonate_g_per_l\":4.6,\"feed_glucose_g_per_l\":32.0,\"feed_galacturonate_g_per_l\":94.0,\"segment_end_h\":[22.0,44.0,68.0],\"feed_ml\":[0.0,4.4,7.2],\"water_ml\":[-2.0,-1.0,0.5],\"sample_ml\":[4.3,4.3,4.3]}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"biomass_g_per_l\":[2.6767753850875478e0,7.531176727086241e0,8.932443076933358e0],\"biomass_g_per_l_hex\":[\"40056a09368d82b6\",\"401e1feccabced49\",\"4021dd692dd19eeb\"],\"glucose_g_per_l\":[1.6623662565785207e1,4.6049736365670375e0,8.298688696991472e-3],\"glucose_g_per_l_hex\":[\"40309fa85993c973\",\"40126b7e357ffd8f\",\"3f80fee7246d1545\"],\"galacturonate_g_per_l\":[4.471854158175703e0,7.215476683263333e0,6.997982417512355e0],\"galacturonate_g_per_l_hex\":[\"4011e32dbc876291\",\"401cdca5eb6eaa90\",\"401bfdef1a54cb59\"],\"mucic_acid_g_per_l\":[2.2820997623395892e-1,1.265278095464639e0,7.423979186311691e0],\"mucic_acid_g_per_l_hex\":[\"3fcd35fc0845dc79\",\"3ff43e943e85da47\",\"401db227998d92d8\"],\"volume_ml\":[1.0800000000001354e2,1.0710000000000029e2,1.1050000000001077e2],\"volume_ml_hex\":[\"405b0000000003b9\",\"405ac6666666667b\",\"405ba000000002f6\"],\"carbon_dioxide_mol\":[8.688286329587635e-3,3.289817739297752e-2,4.788873569066802e-2],\"carbon_dioxide_mol_hex\":[\"3f81cb2a0d26a186\",\"3fa0d807a8006ec1\",\"3fa884df5346c315\"],\"oxygen_mol\":[8.35917651308039e-3,3.1753673100536894e-2,4.791520434554614e-2],\"oxygen_mol_hex\":[\"3f811e9dadf61c86\",\"3fa0420476fd46d0\",\"3fa88857774a61d9\"],\"carbon_supplied_mol\":1.4192548099566726e-1,\"carbon_supplied_mol_hex\":\"3fc22a9d39ac380c\"},\"invariants\":{\"carbon_residual\":1.188532446405526e-13,\"carbon_residual_hex\":\"3d40ba23b16f7813\",\"electron_residual\":1.1909060391554692e-13,\"electron_residual_hex\":\"3d40c2b0f22d807a\",\"settle_gap\":1.1928769083624502e-10,\"settle_gap_hex\":\"3de0651000000000\"},\"field_sha256\":\"e16645ce973c9e68ee824144f636e54694d64ae02e89f15f53c64bd284e5866b\",\"seal_parts\":{\"inputs\":\"1e39df25ea80c4090ab55738aa59b9853c6e082b1c2c005f1562da3bb35e70f8\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"778edc26bc9513bf66709db8a8507e43105081b278312ae69cbba43e00a33e05\",\"invariants\":\"ec83bfff0ed9bc2a56df41c57bcb1cd4f874f50a1e4a9469503ed5935aeedaaf\",\"field_sha256\":\"ba50918d46821a12af5c8e34f8a9f2c74b41eab4eb966ed7fe72cdc705d124ef\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"0a19cd46ee713b7d1cfc2a8d53c0a09a3ac14dc0a84bf3c731e63a1d220cda8a\",\"receipt_sha256\":\"e285c7f0c195013a159dd6838aea97dd987b052a72ff7f309b050132982941af\"}", "outside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.300000000000001, 4.3, 4.3]}}", "outside_answer": "Physical Violation: segment 0 ends with a sample of 4.300000000000001 mL, outside 0..=4.3 (SampleOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-ee943ac4fd0a", "model": "culture_trichoderma_ambr250", "solver": "culture_trichoderma_ambr250", "tool": "solve", "specimen": "One fed-batch culture of the fungus Trichoderma sp. VTT D-221704 in an ambr 250 vessel at pH 4.0 and 35 °C, turning D-galacturonate into mucic acid: biomass, glucose, galacturonate, mucic acid, carbon dioxide made and oxygen taken up at the end of every segment of the caller's feeding record, with carbon and electrons closed; six constants are fitted to this organism's own measurements, at a feed of 29.4 to 34.7 g/L glucose; on four held-back cultures fed 10 and 50 g/L it met three of its six lines and missed three (galacturonate, mucic acid and carbon dioxide), a second scoring confirmed it, and it is not validated against measurement. Since then it refuses by name a feed outside the fitted 29.375 to 34.676 g/L glucose and a record longer than 215 h, so the four held-back questions are refused today, and since 0.7.0 a starting biomass, glucose or galacturonate, a feed schedule, water, sample or broth volume outside the fitted cultures' own.", "base": "example_solve", "input": "parameters.sample_ml[1]", "input_unit": "mL", "whole_number_input": false, "base_value": 4.3, "edge_kind": "declared_limit", "direction": "up", "inside_value": 4.3, "inside_value_hex": "4011333333333333", "outside_value": 4.300000000000001, "outside_value_hex": "4011333333333334", "width": 8.881784197001252e-16, "adjacent_64_bit_numbers": true, "stop_name": "SampleOutOfRange", "stop_sentence": "Physical Violation: segment 1 ends with a sample of 4.300000000000001 mL, outside 0..=4.3 (SampleOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "0a19cd46ee713b7d1cfc2a8d53c0a09a3ac14dc0a84bf3c731e63a1d220cda8a", "outside_proof": null, "inside_receipt": "e285c7f0c195013a159dd6838aea97dd987b052a72ff7f309b050132982941af", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:44:16Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "inside_answer": "{\"inputs\":{\"solver\":\"culture_trichoderma_ambr250\",\"parameters\":{\"biomass_g_per_l\":0.9,\"glucose_g_per_l\":20.8,\"galacturonate_g_per_l\":4.6,\"feed_glucose_g_per_l\":32.0,\"feed_galacturonate_g_per_l\":94.0,\"segment_end_h\":[22.0,44.0,68.0],\"feed_ml\":[0.0,4.4,7.2],\"water_ml\":[-2.0,-1.0,0.5],\"sample_ml\":[4.3,4.3,4.3]}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"biomass_g_per_l\":[2.6767753850875478e0,7.531176727086241e0,8.932443076933358e0],\"biomass_g_per_l_hex\":[\"40056a09368d82b6\",\"401e1feccabced49\",\"4021dd692dd19eeb\"],\"glucose_g_per_l\":[1.6623662565785207e1,4.6049736365670375e0,8.298688696991472e-3],\"glucose_g_per_l_hex\":[\"40309fa85993c973\",\"40126b7e357ffd8f\",\"3f80fee7246d1545\"],\"galacturonate_g_per_l\":[4.471854158175703e0,7.215476683263333e0,6.997982417512355e0],\"galacturonate_g_per_l_hex\":[\"4011e32dbc876291\",\"401cdca5eb6eaa90\",\"401bfdef1a54cb59\"],\"mucic_acid_g_per_l\":[2.2820997623395892e-1,1.265278095464639e0,7.423979186311691e0],\"mucic_acid_g_per_l_hex\":[\"3fcd35fc0845dc79\",\"3ff43e943e85da47\",\"401db227998d92d8\"],\"volume_ml\":[1.0800000000001354e2,1.0710000000000029e2,1.1050000000001077e2],\"volume_ml_hex\":[\"405b0000000003b9\",\"405ac6666666667b\",\"405ba000000002f6\"],\"carbon_dioxide_mol\":[8.688286329587635e-3,3.289817739297752e-2,4.788873569066802e-2],\"carbon_dioxide_mol_hex\":[\"3f81cb2a0d26a186\",\"3fa0d807a8006ec1\",\"3fa884df5346c315\"],\"oxygen_mol\":[8.35917651308039e-3,3.1753673100536894e-2,4.791520434554614e-2],\"oxygen_mol_hex\":[\"3f811e9dadf61c86\",\"3fa0420476fd46d0\",\"3fa88857774a61d9\"],\"carbon_supplied_mol\":1.4192548099566726e-1,\"carbon_supplied_mol_hex\":\"3fc22a9d39ac380c\"},\"invariants\":{\"carbon_residual\":1.188532446405526e-13,\"carbon_residual_hex\":\"3d40ba23b16f7813\",\"electron_residual\":1.1909060391554692e-13,\"electron_residual_hex\":\"3d40c2b0f22d807a\",\"settle_gap\":1.1928769083624502e-10,\"settle_gap_hex\":\"3de0651000000000\"},\"field_sha256\":\"e16645ce973c9e68ee824144f636e54694d64ae02e89f15f53c64bd284e5866b\",\"seal_parts\":{\"inputs\":\"1e39df25ea80c4090ab55738aa59b9853c6e082b1c2c005f1562da3bb35e70f8\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"778edc26bc9513bf66709db8a8507e43105081b278312ae69cbba43e00a33e05\",\"invariants\":\"ec83bfff0ed9bc2a56df41c57bcb1cd4f874f50a1e4a9469503ed5935aeedaaf\",\"field_sha256\":\"ba50918d46821a12af5c8e34f8a9f2c74b41eab4eb966ed7fe72cdc705d124ef\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"0a19cd46ee713b7d1cfc2a8d53c0a09a3ac14dc0a84bf3c731e63a1d220cda8a\",\"receipt_sha256\":\"e285c7f0c195013a159dd6838aea97dd987b052a72ff7f309b050132982941af\"}", "outside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.300000000000001, 4.3]}}", "outside_answer": "Physical Violation: segment 1 ends with a sample of 4.300000000000001 mL, outside 0..=4.3 (SampleOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-d7fd299521ff", "model": "culture_trichoderma_ambr250", "solver": "culture_trichoderma_ambr250", "tool": "solve", "specimen": "One fed-batch culture of the fungus Trichoderma sp. VTT D-221704 in an ambr 250 vessel at pH 4.0 and 35 °C, turning D-galacturonate into mucic acid: biomass, glucose, galacturonate, mucic acid, carbon dioxide made and oxygen taken up at the end of every segment of the caller's feeding record, with carbon and electrons closed; six constants are fitted to this organism's own measurements, at a feed of 29.4 to 34.7 g/L glucose; on four held-back cultures fed 10 and 50 g/L it met three of its six lines and missed three (galacturonate, mucic acid and carbon dioxide), a second scoring confirmed it, and it is not validated against measurement. Since then it refuses by name a feed outside the fitted 29.375 to 34.676 g/L glucose and a record longer than 215 h, so the four held-back questions are refused today, and since 0.7.0 a starting biomass, glucose or galacturonate, a feed schedule, water, sample or broth volume outside the fitted cultures' own.", "base": "example_solve", "input": "parameters.sample_ml[2]", "input_unit": "mL", "whole_number_input": false, "base_value": 4.3, "edge_kind": "declared_limit", "direction": "up", "inside_value": 4.3, "inside_value_hex": "4011333333333333", "outside_value": 4.300000000000001, "outside_value_hex": "4011333333333334", "width": 8.881784197001252e-16, "adjacent_64_bit_numbers": true, "stop_name": "SampleOutOfRange", "stop_sentence": "Physical Violation: segment 2 ends with a sample of 4.300000000000001 mL, outside 0..=4.3 (SampleOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "0a19cd46ee713b7d1cfc2a8d53c0a09a3ac14dc0a84bf3c731e63a1d220cda8a", "outside_proof": null, "inside_receipt": "e285c7f0c195013a159dd6838aea97dd987b052a72ff7f309b050132982941af", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:44:16Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.3]}}", "inside_answer": "{\"inputs\":{\"solver\":\"culture_trichoderma_ambr250\",\"parameters\":{\"biomass_g_per_l\":0.9,\"glucose_g_per_l\":20.8,\"galacturonate_g_per_l\":4.6,\"feed_glucose_g_per_l\":32.0,\"feed_galacturonate_g_per_l\":94.0,\"segment_end_h\":[22.0,44.0,68.0],\"feed_ml\":[0.0,4.4,7.2],\"water_ml\":[-2.0,-1.0,0.5],\"sample_ml\":[4.3,4.3,4.3]}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"biomass_g_per_l\":[2.6767753850875478e0,7.531176727086241e0,8.932443076933358e0],\"biomass_g_per_l_hex\":[\"40056a09368d82b6\",\"401e1feccabced49\",\"4021dd692dd19eeb\"],\"glucose_g_per_l\":[1.6623662565785207e1,4.6049736365670375e0,8.298688696991472e-3],\"glucose_g_per_l_hex\":[\"40309fa85993c973\",\"40126b7e357ffd8f\",\"3f80fee7246d1545\"],\"galacturonate_g_per_l\":[4.471854158175703e0,7.215476683263333e0,6.997982417512355e0],\"galacturonate_g_per_l_hex\":[\"4011e32dbc876291\",\"401cdca5eb6eaa90\",\"401bfdef1a54cb59\"],\"mucic_acid_g_per_l\":[2.2820997623395892e-1,1.265278095464639e0,7.423979186311691e0],\"mucic_acid_g_per_l_hex\":[\"3fcd35fc0845dc79\",\"3ff43e943e85da47\",\"401db227998d92d8\"],\"volume_ml\":[1.0800000000001354e2,1.0710000000000029e2,1.1050000000001077e2],\"volume_ml_hex\":[\"405b0000000003b9\",\"405ac6666666667b\",\"405ba000000002f6\"],\"carbon_dioxide_mol\":[8.688286329587635e-3,3.289817739297752e-2,4.788873569066802e-2],\"carbon_dioxide_mol_hex\":[\"3f81cb2a0d26a186\",\"3fa0d807a8006ec1\",\"3fa884df5346c315\"],\"oxygen_mol\":[8.35917651308039e-3,3.1753673100536894e-2,4.791520434554614e-2],\"oxygen_mol_hex\":[\"3f811e9dadf61c86\",\"3fa0420476fd46d0\",\"3fa88857774a61d9\"],\"carbon_supplied_mol\":1.4192548099566726e-1,\"carbon_supplied_mol_hex\":\"3fc22a9d39ac380c\"},\"invariants\":{\"carbon_residual\":1.188532446405526e-13,\"carbon_residual_hex\":\"3d40ba23b16f7813\",\"electron_residual\":1.1909060391554692e-13,\"electron_residual_hex\":\"3d40c2b0f22d807a\",\"settle_gap\":1.1928769083624502e-10,\"settle_gap_hex\":\"3de0651000000000\"},\"field_sha256\":\"e16645ce973c9e68ee824144f636e54694d64ae02e89f15f53c64bd284e5866b\",\"seal_parts\":{\"inputs\":\"1e39df25ea80c4090ab55738aa59b9853c6e082b1c2c005f1562da3bb35e70f8\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"778edc26bc9513bf66709db8a8507e43105081b278312ae69cbba43e00a33e05\",\"invariants\":\"ec83bfff0ed9bc2a56df41c57bcb1cd4f874f50a1e4a9469503ed5935aeedaaf\",\"field_sha256\":\"ba50918d46821a12af5c8e34f8a9f2c74b41eab4eb966ed7fe72cdc705d124ef\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"0a19cd46ee713b7d1cfc2a8d53c0a09a3ac14dc0a84bf3c731e63a1d220cda8a\",\"receipt_sha256\":\"e285c7f0c195013a159dd6838aea97dd987b052a72ff7f309b050132982941af\"}", "outside_request": "{\"solver\": \"culture_trichoderma_ambr250\", \"parameters\": {\"biomass_g_per_l\": 0.9, \"glucose_g_per_l\": 20.8, \"galacturonate_g_per_l\": 4.6, \"feed_glucose_g_per_l\": 32.0, \"feed_galacturonate_g_per_l\": 94.0, \"segment_end_h\": [22.0, 44.0, 68.0], \"feed_ml\": [0.0, 4.4, 7.2], \"water_ml\": [-2.0, -1.0, 0.5], \"sample_ml\": [4.3, 4.3, 4.300000000000001]}}", "outside_answer": "Physical Violation: segment 2 ends with a sample of 4.300000000000001 mL, outside 0..=4.3 (SampleOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-60f44a8d7637", "model": "fusion_pb11_lhd", "solver": "fusion_pb11_lhd", "tool": "solve", "specimen": "Proton-boron-11 fusion in the boron-seeded hydrogen plasma of the Large Helical Device under one hydrogen neutral beam of 45 keV or of 127.45 to 160.25 keV: alpha particles per second, fusion power, the share of beam protons that fuse, and the alpha emissivity profile. No constant is fitted. It answers only inside the envelope of the inputs compared with measured alpha count rates, each beam family inside its own, and refuses outside it by name. Compared with one published calculation and, in shape only, with measured alpha count rates: it missed three of its four pass lines. It is not validated against measurement.", "base": "example_solve", "input": "parameters.beam_energy_kev", "input_unit": "keV", "whole_number_input": false, "base_value": 160.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 127.45, "inside_value_hex": "405fdccccccccccd", "outside_value": 127.44999999999999, "outside_value_hex": "405fdccccccccccc", "width": 1.4210854715202004e-14, "adjacent_64_bit_numbers": true, "stop_name": "BeamEnergyOutOfRange", "stop_sentence": "Physical Violation: beam energy 127.44999999999999 keV is neither 45 nor inside 127.45..=160.25, the beam energies compared with measurement (BeamEnergyOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "a85946d9314960391ce0bfae0ae88ae98fbd547ac138afae4984bc0f1be35d62", "outside_proof": null, "inside_receipt": "81e6f1960f7bb503d126940145c7a05d32f67533031ce6c95e38f413bb5c349e", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:44:20Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"fusion_pb11_lhd\", \"parameters\": {\"beam_energy_kev\": 127.45, \"beam_power_w\": 2424000.0, \"electron_density_per_m3\": 3.137e+18, \"electron_temperature_kev\": 3.2438, \"boron_density_per_m3\": 8.6706e+16}}", "inside_answer": "{\"inputs\":{\"solver\":\"fusion_pb11_lhd\",\"parameters\":{\"beam_energy_kev\":127.45,\"beam_power_w\":2424000.0,\"electron_density_per_m3\":3.137e+18,\"electron_temperature_kev\":3.2438,\"boron_density_per_m3\":8.6706e+16}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"alpha_emission_rate_per_s\":1.3483864679201511e12,\"alpha_emission_rate_per_s_hex\":\"42739f218b05026b\",\"fusion_power_w\":6.250622192976668e-1,\"fusion_power_w_hex\":\"3fe400827bbb2837\",\"fusion_gain\":2.578639518554731e-7,\"fusion_gain_hex\":\"3e914e11a75f4518\",\"fused_fraction\":3.786262749306457e-9,\"fused_fraction_hex\":\"3e30430a381c46b0\",\"peak_alpha_emissivity_per_m3_s\":1.1539830590554582e11,\"peak_alpha_emissivity_per_m3_s_hex\":\"423ade4668718bbb\",\"peak_emissivity_radius\":3.75e-1,\"peak_emissivity_radius_hex\":\"3fd8000000000000\",\"slowing_time_s\":6.93515941812068e-1,\"slowing_time_s_hex\":\"3fe63148582acc90\",\"energy_fraction_to_electrons\":5.930125111548751e-1,\"energy_fraction_to_electrons_hex\":\"3fe2f9f55fb0edc3\",\"energy_fraction_to_ions\":3.2852534377335585e-1,\"energy_fraction_to_ions_hex\":\"3fd5068f29da7a66\"},\"invariants\":{\"proton_ledger_residual\":4.800128590065046e-16,\"proton_ledger_residual_hex\":\"3cc14b5651800000\",\"energy_ledger_residual\":7.704886813564947e-13,\"energy_ledger_residual_hex\":\"3d6b1bf1f088963f\"},\"field_sha256\":\"7341a7e4eacfbfbf65a4ff2d5c1459ee1cf2e4658def363240df0a4dcd898f9f\",\"seal_parts\":{\"inputs\":\"4945a6c934942941000d8528b2ecc36c367094e5a7e9a09aaf6fde38ad1b8e42\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"d8969eabaeb9aec92f8c3a3781313df27cf62b610e61dff31d4f1284dec3bc73\",\"invariants\":\"3a6124d09fb6e88e726d87fbe4e768e5106f8750508a91f4329c4ebe749721a1\",\"field_sha256\":\"1642d57055425fbdd834cf64766ef780368792c2b9a4e4fbfc78b04a8f4e302b\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"a85946d9314960391ce0bfae0ae88ae98fbd547ac138afae4984bc0f1be35d62\",\"receipt_sha256\":\"81e6f1960f7bb503d126940145c7a05d32f67533031ce6c95e38f413bb5c349e\"}", "outside_request": "{\"solver\": \"fusion_pb11_lhd\", \"parameters\": {\"beam_energy_kev\": 127.44999999999999, \"beam_power_w\": 2424000.0, \"electron_density_per_m3\": 3.137e+18, \"electron_temperature_kev\": 3.2438, \"boron_density_per_m3\": 8.6706e+16}}", "outside_answer": "Physical Violation: beam energy 127.44999999999999 keV is neither 45 nor inside 127.45..=160.25, the beam energies compared with measurement (BeamEnergyOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-45732f8c91c8", "model": "fusion_pb11_lhd", "solver": "fusion_pb11_lhd", "tool": "solve", "specimen": "Proton-boron-11 fusion in the boron-seeded hydrogen plasma of the Large Helical Device under one hydrogen neutral beam of 45 keV or of 127.45 to 160.25 keV: alpha particles per second, fusion power, the share of beam protons that fuse, and the alpha emissivity profile. No constant is fitted. It answers only inside the envelope of the inputs compared with measured alpha count rates, each beam family inside its own, and refuses outside it by name. Compared with one published calculation and, in shape only, with measured alpha count rates: it missed three of its four pass lines. It is not validated against measurement.", "base": "example_solve", "input": "parameters.beam_energy_kev", "input_unit": "keV", "whole_number_input": false, "base_value": 160.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 160.25, "inside_value_hex": "4064080000000000", "outside_value": 160.25000000000003, "outside_value_hex": "4064080000000001", "width": 2.842170943040401e-14, "adjacent_64_bit_numbers": true, "stop_name": "BeamEnergyOutOfRange", "stop_sentence": "Physical Violation: beam energy 160.25000000000003 keV is neither 45 nor inside 127.45..=160.25, the beam energies compared with measurement (BeamEnergyOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "c1b11d6c9066d207e93f9a8321713eabd54cd39a5d6d4756d2ae1701d92aca48", "outside_proof": null, "inside_receipt": "d308f02d5b96a82e1c4d41da09b2e724902384368f4cd833d8a8693eb70a2cd7", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:44:22Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"fusion_pb11_lhd\", \"parameters\": {\"beam_energy_kev\": 160.25, \"beam_power_w\": 2424000.0, \"electron_density_per_m3\": 3.137e+18, \"electron_temperature_kev\": 3.2438, \"boron_density_per_m3\": 8.6706e+16}}", "inside_answer": "{\"inputs\":{\"solver\":\"fusion_pb11_lhd\",\"parameters\":{\"beam_energy_kev\":160.25,\"beam_power_w\":2424000.0,\"electron_density_per_m3\":3.137e+18,\"electron_temperature_kev\":3.2438,\"boron_density_per_m3\":8.6706e+16}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"alpha_emission_rate_per_s\":1.3356058835255104e13,\"alpha_emission_rate_per_s_hex\":\"42a84b6648f26e35\",\"fusion_power_w\":6.191376118978628e0,\"fusion_power_w_hex\":\"4018c3f819f0fe94\",\"fusion_gain\":2.5541980688855728e-6,\"fusion_gain_hex\":\"3ec56d193cfa1ba9\",\"fused_fraction\":4.715555766577339e-8,\"fused_fraction_hex\":\"3e695102afdd3261\",\"peak_alpha_emissivity_per_m3_s\":1.1519022589939624e12,\"peak_alpha_emissivity_per_m3_s_hex\":\"4270c32b99731f66\",\"peak_emissivity_radius\":3.75e-1,\"peak_emissivity_radius_hex\":\"3fd8000000000000\",\"slowing_time_s\":8.073545326312583e-1,\"slowing_time_s_hex\":\"3fe9d5d92c3db740\",\"energy_fraction_to_electrons\":6.503823338859832e-1,\"energy_fraction_to_electrons_hex\":\"3fe4cfee9cbdf767\",\"energy_fraction_to_ions\":2.872151293809973e-1,\"energy_fraction_to_ions_hex\":\"3fd261bb90e6e611\"},\"invariants\":{\"proton_ledger_residual\":7.546752837910517e-16,\"proton_ledger_residual_hex\":\"3ccb30a6a2000000\",\"energy_ledger_residual\":9.131959532467238e-12,\"energy_ledger_residual_hex\":\"3da414d610c6172a\"},\"field_sha256\":\"e356a134a438e6dde4239511480c54c171eb8bf4e9f48272d29b705924531d17\",\"seal_parts\":{\"inputs\":\"d694ba21999d89bf133c0cc7ad1541293faa77d767ae3b947b026d90557eef3e\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"6879de3cf351ba010d921226e30c0c4f19f1945499f0083b6becb9b60e06561b\",\"invariants\":\"51f44b9f8e4823ef17180e8e61545cfcfe917458103112864741697c2169d2a8\",\"field_sha256\":\"657de388b8e3a98301249a97f41be3a2919e5b5e9ea38cab3e38fa8bfcc4484c\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"c1b11d6c9066d207e93f9a8321713eabd54cd39a5d6d4756d2ae1701d92aca48\",\"receipt_sha256\":\"d308f02d5b96a82e1c4d41da09b2e724902384368f4cd833d8a8693eb70a2cd7\"}", "outside_request": "{\"solver\": \"fusion_pb11_lhd\", \"parameters\": {\"beam_energy_kev\": 160.25000000000003, \"beam_power_w\": 2424000.0, \"electron_density_per_m3\": 3.137e+18, \"electron_temperature_kev\": 3.2438, \"boron_density_per_m3\": 8.6706e+16}}", "outside_answer": "Physical Violation: beam energy 160.25000000000003 keV is neither 45 nor inside 127.45..=160.25, the beam energies compared with measurement (BeamEnergyOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-770f2d8c1adb", "model": "fusion_pb11_lhd", "solver": "fusion_pb11_lhd", "tool": "solve", "specimen": "Proton-boron-11 fusion in the boron-seeded hydrogen plasma of the Large Helical Device under one hydrogen neutral beam of 45 keV or of 127.45 to 160.25 keV: alpha particles per second, fusion power, the share of beam protons that fuse, and the alpha emissivity profile. No constant is fitted. It answers only inside the envelope of the inputs compared with measured alpha count rates, each beam family inside its own, and refuses outside it by name. Compared with one published calculation and, in shape only, with measured alpha count rates: it missed three of its four pass lines. It is not validated against measurement.", "base": "example_solve", "input": "parameters.beam_power_w", "input_unit": "W", "whole_number_input": false, "base_value": 2424000.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 938900.0, "inside_value_hex": "412ca72800000000", "outside_value": 938899.9999999999, "outside_value_hex": "412ca727ffffffff", "width": 1.1641532182693481e-10, "adjacent_64_bit_numbers": true, "stop_name": "BeamPowerOutOfRange", "stop_sentence": "Physical Violation: beam power 938899.9999999999 W is not a power compared with measurement for the beam asked: 938900..=3970000 for a negative-ion beam, 4515000 for the 45 keV beam (BeamPowerOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "91504943494f92bf4763ec3097a99924a25f3e44452a39e45ea749af866e2c18", "outside_proof": null, "inside_receipt": "37348ed6a6d925d6fc2e44933d567f7142ef6b248e0e8d84b0ea3b630f085f30", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:44:24Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"fusion_pb11_lhd\", \"parameters\": {\"beam_energy_kev\": 160, \"beam_power_w\": 938900.0, \"electron_density_per_m3\": 3.137e+18, \"electron_temperature_kev\": 3.2438, \"boron_density_per_m3\": 8.6706e+16}}", "inside_answer": "{\"inputs\":{\"solver\":\"fusion_pb11_lhd\",\"parameters\":{\"beam_energy_kev\":160,\"beam_power_w\":938900.0,\"electron_density_per_m3\":3.137e+18,\"electron_temperature_kev\":3.2438,\"boron_density_per_m3\":8.6706e+16}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"alpha_emission_rate_per_s\":5.083700825718869e12,\"alpha_emission_rate_per_s_hex\":\"42927e90ba39db7a\",\"fusion_power_w\":2.3566161452737084e0,\"fusion_power_w_hex\":\"4002da5990c968c8\",\"fusion_gain\":2.5099756579760443e-6,\"fusion_gain_hex\":\"3ec50e21b5efc26a\",\"fused_fraction\":4.626683240508838e-8,\"fused_fraction_hex\":\"3e68d6dd725bbc11\",\"peak_alpha_emissivity_per_m3_s\":4.390949187148779e11,\"peak_alpha_emissivity_per_m3_s_hex\":\"42598f062f8eb830\",\"peak_emissivity_radius\":3.75e-1,\"peak_emissivity_radius_hex\":\"3fd8000000000000\",\"slowing_time_s\":8.065602821996469e-1,\"slowing_time_s_hex\":\"3fe9cf57824999b8\",\"energy_fraction_to_electrons\":6.500081386138495e-1,\"energy_fraction_to_electrons_hex\":\"3fe4ccddde2f5ec5\",\"energy_fraction_to_ions\":2.874918215229642e-1,\"energy_fraction_to_ions_hex\":\"3fd2664418d3c01b\"},\"invariants\":{\"proton_ledger_residual\":5.526110710522836e-16,\"proton_ledger_residual_hex\":\"3cc3e8f000000000\",\"energy_ledger_residual\":9.319323091006027e-12,\"energy_ledger_residual_hex\":\"3da47e5000000000\"},\"field_sha256\":\"01bc932a5592fe238a3bdd2232580bc9f9ce9de51d0f9f5b24cf79e0c4178501\",\"seal_parts\":{\"inputs\":\"e240b26340603666adaac453d023440858011e9ef7c0d7765c87b480c0f2d228\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"fe0cb583d60647192481ce1652d15f84301f5451bc3b71495af4a2a2b650b22c\",\"invariants\":\"f6204cd6ab38e0b3992652b256428323447380756675cd2f70328f1e29125e96\",\"field_sha256\":\"9cf5ba35c682ad9d1a316da3b458c0bfd3eaabc5393057402df76d59892549e3\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"91504943494f92bf4763ec3097a99924a25f3e44452a39e45ea749af866e2c18\",\"receipt_sha256\":\"37348ed6a6d925d6fc2e44933d567f7142ef6b248e0e8d84b0ea3b630f085f30\"}", "outside_request": "{\"solver\": \"fusion_pb11_lhd\", \"parameters\": {\"beam_energy_kev\": 160, \"beam_power_w\": 938899.9999999999, \"electron_density_per_m3\": 3.137e+18, \"electron_temperature_kev\": 3.2438, \"boron_density_per_m3\": 8.6706e+16}}", "outside_answer": "Physical Violation: beam power 938899.9999999999 W is not a power compared with measurement for the beam asked: 938900..=3970000 for a negative-ion beam, 4515000 for the 45 keV beam (BeamPowerOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-fb463c6774e3", "model": "fusion_pb11_lhd", "solver": "fusion_pb11_lhd", "tool": "solve", "specimen": "Proton-boron-11 fusion in the boron-seeded hydrogen plasma of the Large Helical Device under one hydrogen neutral beam of 45 keV or of 127.45 to 160.25 keV: alpha particles per second, fusion power, the share of beam protons that fuse, and the alpha emissivity profile. No constant is fitted. It answers only inside the envelope of the inputs compared with measured alpha count rates, each beam family inside its own, and refuses outside it by name. Compared with one published calculation and, in shape only, with measured alpha count rates: it missed three of its four pass lines. It is not validated against measurement.", "base": "example_solve", "input": "parameters.beam_power_w", "input_unit": "W", "whole_number_input": false, "base_value": 2424000.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 3970000.0, "inside_value_hex": "414e49e800000000", "outside_value": 3970000.0000000005, "outside_value_hex": "414e49e800000001", "width": 4.656612873077393e-10, "adjacent_64_bit_numbers": true, "stop_name": "BeamPowerOutOfRange", "stop_sentence": "Physical Violation: beam power 3970000.0000000005 W is not a power compared with measurement for the beam asked: 938900..=3970000 for a negative-ion beam, 4515000 for the 45 keV beam (BeamPowerOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "29a4bd4e731fa37d5dd9a5cec09e2ff10b4174cdc9b0354cc9aa7aa3a118f3d1", "outside_proof": null, "inside_receipt": "67b3da079c724aec34c18fb055d70cfd5fc691a88687949e77e55484d30e173b", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:44:26Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"fusion_pb11_lhd\", \"parameters\": {\"beam_energy_kev\": 160, \"beam_power_w\": 3970000.0, \"electron_density_per_m3\": 3.137e+18, \"electron_temperature_kev\": 3.2438, \"boron_density_per_m3\": 8.6706e+16}}", "inside_answer": "{\"inputs\":{\"solver\":\"fusion_pb11_lhd\",\"parameters\":{\"beam_energy_kev\":160,\"beam_power_w\":3970000.0,\"electron_density_per_m3\":3.137e+18,\"electron_temperature_kev\":3.2438,\"boron_density_per_m3\":8.6706e+16}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"alpha_emission_rate_per_s\":2.149567821717319e13,\"alpha_emission_rate_per_s_hex\":\"42b38cda43abd531\",\"fusion_power_w\":9.964603362164898e0,\"fusion_power_w_hex\":\"4023ede07dec3842\",\"fusion_gain\":2.5099756579760443e-6,\"fusion_gain_hex\":\"3ec50e21b5efc26a\",\"fused_fraction\":4.626683240508838e-8,\"fused_fraction_hex\":\"3e68d6dd725bbc11\",\"peak_alpha_emissivity_per_m3_s\":1.8566480214059705e12,\"peak_alpha_emissivity_per_m3_s_hex\":\"427b048d8859df87\",\"peak_emissivity_radius\":3.75e-1,\"peak_emissivity_radius_hex\":\"3fd8000000000000\",\"slowing_time_s\":8.065602821996469e-1,\"slowing_time_s_hex\":\"3fe9cf57824999b8\",\"energy_fraction_to_electrons\":6.500081386138495e-1,\"energy_fraction_to_electrons_hex\":\"3fe4ccddde2f5ec5\",\"energy_fraction_to_ions\":2.874918215229642e-1,\"energy_fraction_to_ions_hex\":\"3fd2664418d3c01b\"},\"invariants\":{\"proton_ledger_residual\":5.526110710522836e-16,\"proton_ledger_residual_hex\":\"3cc3e8f000000000\",\"energy_ledger_residual\":9.319323091006027e-12,\"energy_ledger_residual_hex\":\"3da47e5000000000\"},\"field_sha256\":\"5e0c7a8f390604d2990acf92134c1a12cca218aa59f8dd0d49f7cdad25fd714e\",\"seal_parts\":{\"inputs\":\"23c86c66c26d397ec03bf37af9bc8e9971ca475a07308385d8aa9328ba411f57\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"cf19327cbbc57ff69ce7b3cbd5972a87226492629608a9ec7baef89cfc587f40\",\"invariants\":\"f6204cd6ab38e0b3992652b256428323447380756675cd2f70328f1e29125e96\",\"field_sha256\":\"0613869194a01022235bef913eff0f5356be4cdf52bd00053bbe2f36c2334538\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"29a4bd4e731fa37d5dd9a5cec09e2ff10b4174cdc9b0354cc9aa7aa3a118f3d1\",\"receipt_sha256\":\"67b3da079c724aec34c18fb055d70cfd5fc691a88687949e77e55484d30e173b\"}", "outside_request": "{\"solver\": \"fusion_pb11_lhd\", \"parameters\": {\"beam_energy_kev\": 160, \"beam_power_w\": 3970000.0000000005, \"electron_density_per_m3\": 3.137e+18, \"electron_temperature_kev\": 3.2438, \"boron_density_per_m3\": 8.6706e+16}}", "outside_answer": "Physical Violation: beam power 3970000.0000000005 W is not a power compared with measurement for the beam asked: 938900..=3970000 for a negative-ion beam, 4515000 for the 45 keV beam (BeamPowerOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-c1c518201a33", "model": "fusion_pb11_lhd", "solver": "fusion_pb11_lhd", "tool": "solve", "specimen": "Proton-boron-11 fusion in the boron-seeded hydrogen plasma of the Large Helical Device under one hydrogen neutral beam of 45 keV or of 127.45 to 160.25 keV: alpha particles per second, fusion power, the share of beam protons that fuse, and the alpha emissivity profile. No constant is fitted. It answers only inside the envelope of the inputs compared with measured alpha count rates, each beam family inside its own, and refuses outside it by name. Compared with one published calculation and, in shape only, with measured alpha count rates: it missed three of its four pass lines. It is not validated against measurement.", "base": "example_solve", "input": "parameters.electron_density_per_m3", "input_unit": "m^-3", "whole_number_input": false, "base_value": 3.137e+18, "edge_kind": "declared_limit", "direction": "down", "inside_value": 2.261e+18, "inside_value_hex": "43bf60af854d2880", "outside_value": 2.2609999999999997e+18, "outside_value_hex": "43bf60af854d287f", "width": 256.0, "adjacent_64_bit_numbers": true, "stop_name": "ElectronDensityOutOfRange", "stop_sentence": "Physical Violation: electron density 2260999999999999700 m^-3 is not a density compared with measurement for the beam asked: 2261000000000000000..=6872000000000000000 for a negative-ion beam, 4502000000000000000 for the 45 keV beam (ElectronDensityOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "c0e49abf7af5affe6d5e4e593ea413477022c27b0648b87a7452279e1fe8da26", "outside_proof": null, "inside_receipt": "24a72ca52876540f47b7f61aeef438f6c8af2a15d5598951fb5faea6e82acc8a", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:44:28Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"fusion_pb11_lhd\", \"parameters\": {\"beam_energy_kev\": 160, \"beam_power_w\": 2424000.0, \"electron_density_per_m3\": 2.261e+18, \"electron_temperature_kev\": 3.2438, \"boron_density_per_m3\": 8.6706e+16}}", "inside_answer": "{\"inputs\":{\"solver\":\"fusion_pb11_lhd\",\"parameters\":{\"beam_energy_kev\":160,\"beam_power_w\":2424000.0,\"electron_density_per_m3\":2.261e+18,\"electron_temperature_kev\":3.2438,\"boron_density_per_m3\":8.6706e+16}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"alpha_emission_rate_per_s\":1.810165095443854e13,\"alpha_emission_rate_per_s_hex\":\"42b0769e7998c68a\",\"fusion_power_w\":8.391257542049965e0,\"fusion_power_w_hex\":\"4020c852e896d5fd\",\"fusion_gain\":3.4617399100866197e-6,\"fusion_gain_hex\":\"3ecd0a07a448f518\",\"fused_fraction\":6.381087391864736e-8,\"fused_fraction_hex\":\"3e71210cc4009092\",\"peak_alpha_emissivity_per_m3_s\":1.5645202125396147e12,\"peak_alpha_emissivity_per_m3_s_hex\":\"4276c44abe83b9d6\",\"peak_emissivity_radius\":3.75e-1,\"peak_emissivity_radius_hex\":\"3fd8000000000000\",\"slowing_time_s\":1.1194966076621535e0,\"slowing_time_s_hex\":\"3ff1e975465e4531\",\"energy_fraction_to_electrons\":6.541171563813409e-1,\"energy_fraction_to_electrons_hex\":\"3fe4ee871a4d21cf\",\"energy_fraction_to_ions\":2.8338278864234884e-1,\"energy_fraction_to_ions_hex\":\"3fd222f1905df679\"},\"invariants\":{\"proton_ledger_residual\":4.758121885289572e-16,\"proton_ledger_residual_hex\":\"3cc12497c4000000\",\"energy_ledger_residual\":1.2855927433719216e-11,\"energy_ledger_residual_hex\":\"3dac453e66666666\"},\"field_sha256\":\"61763084551bb8b81e62e8ad0c5907bc30e83136af2c8fdaada37f2da5a3218a\",\"seal_parts\":{\"inputs\":\"0e96124b98f1bdb2c2a1fb224cc5a5d505d0bee2112ae503ff3c6718c9433a04\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"ee2571bd5afc9bd7ae17b77ce1fb03e9f30be9e5a5defe2e09f2987fc47b9c46\",\"invariants\":\"49515a0f716beccc87f67bfe1a8bffbdfe210d511d2952887ea630b25d5077e4\",\"field_sha256\":\"bd2c9053f311a346dbcbb40a85d4c0e1039590fa5c1202eb66124b53d268ea2d\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"c0e49abf7af5affe6d5e4e593ea413477022c27b0648b87a7452279e1fe8da26\",\"receipt_sha256\":\"24a72ca52876540f47b7f61aeef438f6c8af2a15d5598951fb5faea6e82acc8a\"}", "outside_request": "{\"solver\": \"fusion_pb11_lhd\", \"parameters\": {\"beam_energy_kev\": 160, \"beam_power_w\": 2424000.0, \"electron_density_per_m3\": 2.2609999999999997e+18, \"electron_temperature_kev\": 3.2438, \"boron_density_per_m3\": 8.6706e+16}}", "outside_answer": "Physical Violation: electron density 2260999999999999700 m^-3 is not a density compared with measurement for the beam asked: 2261000000000000000..=6872000000000000000 for a negative-ion beam, 4502000000000000000 for the 45 keV beam (ElectronDensityOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-c1fd51ef59c2", "model": "fusion_pb11_lhd", "solver": "fusion_pb11_lhd", "tool": "solve", "specimen": "Proton-boron-11 fusion in the boron-seeded hydrogen plasma of the Large Helical Device under one hydrogen neutral beam of 45 keV or of 127.45 to 160.25 keV: alpha particles per second, fusion power, the share of beam protons that fuse, and the alpha emissivity profile. No constant is fitted. It answers only inside the envelope of the inputs compared with measured alpha count rates, each beam family inside its own, and refuses outside it by name. Compared with one published calculation and, in shape only, with measured alpha count rates: it missed three of its four pass lines. It is not validated against measurement.", "base": "example_solve", "input": "parameters.electron_density_per_m3", "input_unit": "m^-3", "whole_number_input": false, "base_value": 3.137e+18, "edge_kind": "declared_limit", "direction": "up", "inside_value": 6.872e+18, "inside_value_hex": "43d7d78fe5cc1f00", "outside_value": 6.872000000000001e+18, "outside_value_hex": "43d7d78fe5cc1f01", "width": 1024.0, "adjacent_64_bit_numbers": true, "stop_name": "ElectronDensityOutOfRange", "stop_sentence": "Physical Violation: electron density 6872000000000001000 m^-3 is not a density compared with measurement for the beam asked: 2261000000000000000..=6872000000000000000 for a negative-ion beam, 4502000000000000000 for the 45 keV beam (ElectronDensityOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "4d9d6d535c03babd23bde3fdd6bf61a00d5f816744ca8dfb00a7adfe990403a2", "outside_proof": null, "inside_receipt": "657f058aef9b8a774da99fc2c4912e0aa4ad7e948decd9d994a5ce4da05f2496", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:44:30Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"fusion_pb11_lhd\", \"parameters\": {\"beam_energy_kev\": 160, \"beam_power_w\": 2424000.0, \"electron_density_per_m3\": 6.872e+18, \"electron_temperature_kev\": 3.2438, \"boron_density_per_m3\": 8.6706e+16}}", "inside_answer": "{\"inputs\":{\"solver\":\"fusion_pb11_lhd\",\"parameters\":{\"beam_energy_kev\":160,\"beam_power_w\":2424000.0,\"electron_density_per_m3\":6.872e+18,\"electron_temperature_kev\":3.2438,\"boron_density_per_m3\":8.6706e+16}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"alpha_emission_rate_per_s\":6.09834637427344e12,\"alpha_emission_rate_per_s_hex\":\"42962f8713d205c3\",\"fusion_power_w\":2.826968387356262e0,\"fusion_power_w_hex\":\"40069da19a142b05\",\"fusion_gain\":1.1662410838928475e-6,\"fusion_gain_hex\":\"3eb390f7a1ed80fd\",\"fused_fraction\":2.1497531500328986e-8,\"fused_fraction_hex\":\"3e5715324b6ac500\",\"peak_alpha_emissivity_per_m3_s\":5.2615029603950885e11,\"peak_alpha_emissivity_per_m3_s_hex\":\"425ea0401879e091\",\"peak_emissivity_radius\":3.75e-1,\"peak_emissivity_radius_hex\":\"3fd8000000000000\",\"slowing_time_s\":3.7132414441915196e-1,\"slowing_time_s_hex\":\"3fd7c3c6581fb544\",\"energy_fraction_to_electrons\":6.439646687701783e-1,\"energy_fraction_to_electrons_hex\":\"3fe49b5bcb04b768\",\"energy_fraction_to_ions\":2.9353531270633193e-1,\"energy_fraction_to_ions_hex\":\"3fd2c9485612de7a\"},\"invariants\":{\"proton_ledger_residual\":7.58040942737187e-16,\"proton_ledger_residual_hex\":\"3ccb4fb192000000\",\"energy_ledger_residual\":4.3285486306388064e-12,\"energy_ledger_residual_hex\":\"3d93098333333333\"},\"field_sha256\":\"9427aef3a2d93d125308540c27887eb145866d6d9b2689b451f04e6e2da7d253\",\"seal_parts\":{\"inputs\":\"ef78a24f5d2dacb174e044911edfc6e94e77fdc5574c4490d7a26416d88a6e46\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"0438697afc2390cea47c50b94b692a59d6f6000fccc481c77b1fb98b1a561b90\",\"invariants\":\"23b6c00d53e6bf9b12254e93df1c937c2adfbfbd7fca7daa6b080a75864ab918\",\"field_sha256\":\"b83b77488bf1e20c46611fdcd9f21b160015ad96b7176d532931776a2d52af14\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"4d9d6d535c03babd23bde3fdd6bf61a00d5f816744ca8dfb00a7adfe990403a2\",\"receipt_sha256\":\"657f058aef9b8a774da99fc2c4912e0aa4ad7e948decd9d994a5ce4da05f2496\"}", "outside_request": "{\"solver\": \"fusion_pb11_lhd\", \"parameters\": {\"beam_energy_kev\": 160, \"beam_power_w\": 2424000.0, \"electron_density_per_m3\": 6.872000000000001e+18, \"electron_temperature_kev\": 3.2438, \"boron_density_per_m3\": 8.6706e+16}}", "outside_answer": "Physical Violation: electron density 6872000000000001000 m^-3 is not a density compared with measurement for the beam asked: 2261000000000000000..=6872000000000000000 for a negative-ion beam, 4502000000000000000 for the 45 keV beam (ElectronDensityOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-d8b41604f9e8", "model": "fusion_pb11_lhd", "solver": "fusion_pb11_lhd", "tool": "solve", "specimen": "Proton-boron-11 fusion in the boron-seeded hydrogen plasma of the Large Helical Device under one hydrogen neutral beam of 45 keV or of 127.45 to 160.25 keV: alpha particles per second, fusion power, the share of beam protons that fuse, and the alpha emissivity profile. No constant is fitted. It answers only inside the envelope of the inputs compared with measured alpha count rates, each beam family inside its own, and refuses outside it by name. Compared with one published calculation and, in shape only, with measured alpha count rates: it missed three of its four pass lines. It is not validated against measurement.", "base": "example_solve", "input": "parameters.electron_temperature_kev", "input_unit": "keV", "whole_number_input": false, "base_value": 3.2438, "edge_kind": "declared_limit", "direction": "down", "inside_value": 2.9929, "inside_value_hex": "4007f1758e219653", "outside_value": 2.9928999999999997, "outside_value_hex": "4007f1758e219652", "width": 4.440892098500626e-16, "adjacent_64_bit_numbers": true, "stop_name": "ElectronTemperatureOutOfRange", "stop_sentence": "Physical Violation: electron temperature 2.9928999999999997 keV is not a temperature compared with measurement for the beam asked: 2.9929..=3.7872 for a negative-ion beam, 2.1252 for the 45 keV beam (ElectronTemperatureOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "421fd0cd95cc84ca63208528c549d67fcec021070721b97571144145bd70bb03", "outside_proof": null, "inside_receipt": "768ada57ca2bdd1c9e175562fa14d84502f1e80ff0a1434e305452975ac392e6", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:44:33Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"fusion_pb11_lhd\", \"parameters\": {\"beam_energy_kev\": 160, \"beam_power_w\": 2424000.0, \"electron_density_per_m3\": 3.137e+18, \"electron_temperature_kev\": 2.9929, \"boron_density_per_m3\": 8.6706e+16}}", "inside_answer": "{\"inputs\":{\"solver\":\"fusion_pb11_lhd\",\"parameters\":{\"beam_energy_kev\":160,\"beam_power_w\":2424000.0,\"electron_density_per_m3\":3.137e+18,\"electron_temperature_kev\":2.9929,\"boron_density_per_m3\":8.6706e+16}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"alpha_emission_rate_per_s\":1.1785777527804166e13,\"alpha_emission_rate_per_s_hex\":\"42a5702e2a77f855\",\"fusion_power_w\":5.463451638639621e0,\"fusion_power_w_hex\":\"4015da9310fcf06b\",\"fusion_gain\":2.2538991908579296e-6,\"fusion_gain_hex\":\"3ec2e8362f20a0a2\",\"fused_fraction\":4.1546528863740636e-8,\"fused_fraction_hex\":\"3e664e1c87d18d22\",\"peak_alpha_emissivity_per_m3_s\":1.0205314515415786e12,\"peak_alpha_emissivity_per_m3_s_hex\":\"426db38d44d2b284\",\"peak_emissivity_radius\":3.75e-1,\"peak_emissivity_radius_hex\":\"3fd8000000000000\",\"slowing_time_s\":7.491862295589784e-1,\"slowing_time_s_hex\":\"3fe7f95566523834\",\"energy_fraction_to_electrons\":6.683606247654604e-1,\"energy_fraction_to_electrons_hex\":\"3fe56335d229a82f\",\"energy_fraction_to_ions\":2.6913933940978524e-1,\"energy_fraction_to_ions_hex\":\"3fd13994353540a9\"},\"invariants\":{\"proton_ledger_residual\":8.074128487975824e-16,\"proton_ledger_residual_hex\":\"3ccd1711b0000000\",\"energy_ledger_residual\":8.618705749086075e-12,\"energy_ledger_residual_hex\":\"3da2f3e666666666\"},\"field_sha256\":\"8b26feb62ecbb4c844d3b17261c66ae4071d1a336394a9e2f2416d81b71bc452\",\"seal_parts\":{\"inputs\":\"9cae165f1e137ae4c229b610b511934c42a6f72bfb65140c35cf7c41ddec936f\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"86328b87276dab35b8388dfc9c5de242927ebba8339010b1216272d02a4e32cb\",\"invariants\":\"4ac376279d2bd995fe8dd0f8d087f9b2d77db2bb94db5f2a1413dfa5edd8603e\",\"field_sha256\":\"bc0b6b585d200fc6d6b46f345414b3402c30679303bb0d871431aa337131616d\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"421fd0cd95cc84ca63208528c549d67fcec021070721b97571144145bd70bb03\",\"receipt_sha256\":\"768ada57ca2bdd1c9e175562fa14d84502f1e80ff0a1434e305452975ac392e6\"}", "outside_request": "{\"solver\": \"fusion_pb11_lhd\", \"parameters\": {\"beam_energy_kev\": 160, \"beam_power_w\": 2424000.0, \"electron_density_per_m3\": 3.137e+18, \"electron_temperature_kev\": 2.9928999999999997, \"boron_density_per_m3\": 8.6706e+16}}", "outside_answer": "Physical Violation: electron temperature 2.9928999999999997 keV is not a temperature compared with measurement for the beam asked: 2.9929..=3.7872 for a negative-ion beam, 2.1252 for the 45 keV beam (ElectronTemperatureOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-dc58979d5630", "model": "fusion_pb11_lhd", "solver": "fusion_pb11_lhd", "tool": "solve", "specimen": "Proton-boron-11 fusion in the boron-seeded hydrogen plasma of the Large Helical Device under one hydrogen neutral beam of 45 keV or of 127.45 to 160.25 keV: alpha particles per second, fusion power, the share of beam protons that fuse, and the alpha emissivity profile. No constant is fitted. It answers only inside the envelope of the inputs compared with measured alpha count rates, each beam family inside its own, and refuses outside it by name. Compared with one published calculation and, in shape only, with measured alpha count rates: it missed three of its four pass lines. It is not validated against measurement.", "base": "example_solve", "input": "parameters.electron_temperature_kev", "input_unit": "keV", "whole_number_input": false, "base_value": 3.2438, "edge_kind": "declared_limit", "direction": "up", "inside_value": 3.7872, "inside_value_hex": "400e4c2f837b4a23", "outside_value": 3.7872000000000003, "outside_value_hex": "400e4c2f837b4a24", "width": 4.440892098500626e-16, "adjacent_64_bit_numbers": true, "stop_name": "ElectronTemperatureOutOfRange", "stop_sentence": "Physical Violation: electron temperature 3.7872000000000003 keV is not a temperature compared with measurement for the beam asked: 2.9929..=3.7872 for a negative-ion beam, 2.1252 for the 45 keV beam (ElectronTemperatureOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "c7f6bbd85833f7514fe7cad51d176bf8af0d492b473dbc4252454fce0d3473e0", "outside_proof": null, "inside_receipt": "e15129d02b533eaa83b47d5cc28c58bcab97403ddec59e5a3498ac865208eb53", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:44:35Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"fusion_pb11_lhd\", \"parameters\": {\"beam_energy_kev\": 160, \"beam_power_w\": 2424000.0, \"electron_density_per_m3\": 3.137e+18, \"electron_temperature_kev\": 3.7872, \"boron_density_per_m3\": 8.6706e+16}}", "inside_answer": "{\"inputs\":{\"solver\":\"fusion_pb11_lhd\",\"parameters\":{\"beam_energy_kev\":160,\"beam_power_w\":2424000.0,\"electron_density_per_m3\":3.137e+18,\"electron_temperature_kev\":3.7872,\"boron_density_per_m3\":8.6706e+16}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"alpha_emission_rate_per_s\":1.6085729819753783e13,\"alpha_emission_rate_per_s_hex\":\"42ad42806c78d391\",\"fusion_power_w\":7.4567508791948e0,\"fusion_power_w_hex\":\"401dd3b680a23e60\",\"fusion_gain\":3.076217359403795e-6,\"fusion_gain_hex\":\"3ec9ce2060cc2c33\",\"fused_fraction\":5.6704467454447837e-8,\"fused_fraction_hex\":\"3e6e716714ff0623\",\"peak_alpha_emissivity_per_m3_s\":1.3812457861558013e12,\"peak_alpha_emissivity_per_m3_s_hex\":\"4274198aa182bcd2\",\"peak_emissivity_radius\":3.75e-1,\"peak_emissivity_radius_hex\":\"3fd8000000000000\",\"slowing_time_s\":9.251836521838783e-1,\"slowing_time_s_hex\":\"3fed9b1abf1d8e1a\",\"energy_fraction_to_electrons\":6.128472447802746e-1,\"energy_fraction_to_electrons_hex\":\"3fe39c71d338ccb0\",\"energy_fraction_to_ions\":3.246527064456226e-1,\"energy_fraction_to_ions_hex\":\"3fd4c71c252f7a44\"},\"invariants\":{\"proton_ledger_residual\":5.11430486443817e-16,\"proton_ledger_residual_hex\":\"3cc26d1d18000000\",\"energy_ledger_residual\":1.0787870596828952e-11,\"energy_ledger_residual_hex\":\"3da7b90800000000\"},\"field_sha256\":\"e1a00c43f7c57509534b314e0afdbed12c9b30019977b07d03af70d1025ae7b6\",\"seal_parts\":{\"inputs\":\"85928735970bfb56850d841b1849e2ba00722dc813d9fac4de09dc8e2d0f074e\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"a5997f8edcb4391381284e574d30513db886e068b5ed750c076d8f8719ac1c92\",\"invariants\":\"822fee60804e154c9ebfcdda396093e5d1e6676af8c55de7dfdbee563e3d91a8\",\"field_sha256\":\"3bf9cf07281d6b546a6a22db0d2411b917b0ab880b48732fff76bd65de6b1130\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"c7f6bbd85833f7514fe7cad51d176bf8af0d492b473dbc4252454fce0d3473e0\",\"receipt_sha256\":\"e15129d02b533eaa83b47d5cc28c58bcab97403ddec59e5a3498ac865208eb53\"}", "outside_request": "{\"solver\": \"fusion_pb11_lhd\", \"parameters\": {\"beam_energy_kev\": 160, \"beam_power_w\": 2424000.0, \"electron_density_per_m3\": 3.137e+18, \"electron_temperature_kev\": 3.7872000000000003, \"boron_density_per_m3\": 8.6706e+16}}", "outside_answer": "Physical Violation: electron temperature 3.7872000000000003 keV is not a temperature compared with measurement for the beam asked: 2.9929..=3.7872 for a negative-ion beam, 2.1252 for the 45 keV beam (ElectronTemperatureOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-ef605ea280e4", "model": "fusion_pb11_lhd", "solver": "fusion_pb11_lhd", "tool": "solve", "specimen": "Proton-boron-11 fusion in the boron-seeded hydrogen plasma of the Large Helical Device under one hydrogen neutral beam of 45 keV or of 127.45 to 160.25 keV: alpha particles per second, fusion power, the share of beam protons that fuse, and the alpha emissivity profile. No constant is fitted. It answers only inside the envelope of the inputs compared with measured alpha count rates, each beam family inside its own, and refuses outside it by name. Compared with one published calculation and, in shape only, with measured alpha count rates: it missed three of its four pass lines. It is not validated against measurement.", "base": "example_solve", "input": "parameters.boron_density_per_m3", "input_unit": "m^-3", "whole_number_input": false, "base_value": 8.6706e+16, "edge_kind": "declared_limit", "direction": "down", "inside_value": 0.04973892441153873, "inside_value_hex": "3fa977615b5f1de3", "outside_value": 0.049738924411538724, "outside_value_hex": "3fa977615b5f1de2", "width": 6.938893903907228e-18, "adjacent_64_bit_numbers": true, "stop_name": "BoronBelowOneNucleus", "stop_sentence": "Physical Violation: boron density 4.9738924411538724e-2 m^-3 is not zero and is below 0.04973892441153873 m^-3, the peak density at which the plasma holds one boron nucleus: less than one nucleus is no boron, and zero is answered (BoronBelowOneNucleus).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "2913cd205b154807e09b020eee17b9617d698539071128d165ce6880a2ebb7eb", "outside_proof": null, "inside_receipt": "d390f2ecda3922d8a7a1606a54290026d461145f35c85bf821e1161061d5c8eb", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:44:37Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"fusion_pb11_lhd\", \"parameters\": {\"beam_energy_kev\": 160, \"beam_power_w\": 2424000.0, \"electron_density_per_m3\": 3.137e+18, \"electron_temperature_kev\": 3.2438, \"boron_density_per_m3\": 0.04973892441153873}}", "inside_answer": "{\"inputs\":{\"solver\":\"fusion_pb11_lhd\",\"parameters\":{\"beam_energy_kev\":160,\"beam_power_w\":2424000.0,\"electron_density_per_m3\":3.137e+18,\"electron_temperature_kev\":3.2438,\"boron_density_per_m3\":0.04973892441153873}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"alpha_emission_rate_per_s\":7.46881636354942e-6,\"alpha_emission_rate_per_s_hex\":\"3edf53949bff1e8c\",\"fusion_power_w\":3.462267712407351e-18,\"fusion_power_w_hex\":\"3c4fef0c6a7d3ffa\",\"fusion_gain\":1.428328264194452e-24,\"fusion_gain_hex\":\"3afba0bd2e72223a\",\"fused_fraction\":2.632863159805441e-26,\"fused_fraction_hex\":\"3aa04bf02e45aebb\",\"peak_alpha_emissivity_per_m3_s\":6.443123543855431e-7,\"peak_alpha_emissivity_per_m3_s_hex\":\"3ea59e99d9e3debb\",\"peak_emissivity_radius\":3.75e-1,\"peak_emissivity_radius_hex\":\"3fd8000000000000\",\"slowing_time_s\":7.885066291085607e-1,\"slowing_time_s_hex\":\"3fe93b7241166a40\",\"energy_fraction_to_electrons\":6.405761502280318e-1,\"energy_fraction_to_electrons_hex\":\"3fe47f998dfa769e\",\"energy_fraction_to_ions\":2.969238497719682e-1,\"energy_fraction_to_ions_hex\":\"3fd300cce40b12c4\"},\"invariants\":{\"proton_ledger_residual\":3.468159027924698e-26,\"proton_ledger_residual_hex\":\"3aa57784708308bf\",\"energy_ledger_residual\":6.217248937900876e-16,\"energy_ledger_residual_hex\":\"3cc6666666666666\"},\"field_sha256\":\"b2228c006db1e38e5172fa65b77d7c398d3a09afa48f14c1e5f9e95733e6c590\",\"seal_parts\":{\"inputs\":\"389f00f596fc1959522a14124ca328162f38763c0c7b21960f49aa94fd873de7\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e5f67eeb646996ea0e45a971ab14d223a85d416325ae8b358bd4ee672b11ca4a\",\"invariants\":\"b3429f6f9b554aa71e61fab8b9ad42aa348e2b80725734c06474a7a3737078a8\",\"field_sha256\":\"e10138c5e4399710299d236752fcb73f75d651bc392a25d4834c027942099265\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"2913cd205b154807e09b020eee17b9617d698539071128d165ce6880a2ebb7eb\",\"receipt_sha256\":\"d390f2ecda3922d8a7a1606a54290026d461145f35c85bf821e1161061d5c8eb\"}", "outside_request": "{\"solver\": \"fusion_pb11_lhd\", \"parameters\": {\"beam_energy_kev\": 160, \"beam_power_w\": 2424000.0, \"electron_density_per_m3\": 3.137e+18, \"electron_temperature_kev\": 3.2438, \"boron_density_per_m3\": 0.049738924411538724}}", "outside_answer": "Physical Violation: boron density 4.9738924411538724e-2 m^-3 is not zero and is below 0.04973892441153873 m^-3, the peak density at which the plasma holds one boron nucleus: less than one nucleus is no boron, and zero is answered (BoronBelowOneNucleus).", "outside_answer_is_error": true}
{"id": "edge-95efcc22bd97", "model": "fusion_pb11_lhd", "solver": "fusion_pb11_lhd", "tool": "solve", "specimen": "Proton-boron-11 fusion in the boron-seeded hydrogen plasma of the Large Helical Device under one hydrogen neutral beam of 45 keV or of 127.45 to 160.25 keV: alpha particles per second, fusion power, the share of beam protons that fuse, and the alpha emissivity profile. No constant is fitted. It answers only inside the envelope of the inputs compared with measured alpha count rates, each beam family inside its own, and refuses outside it by name. Compared with one published calculation and, in shape only, with measured alpha count rates: it missed three of its four pass lines. It is not validated against measurement.", "base": "example_solve", "input": "parameters.boron_density_per_m3", "input_unit": "m^-3", "whole_number_input": false, "base_value": 8.6706e+16, "edge_kind": "declared_limit", "direction": "up", "inside_value": 1.2995451600698486e+17, "inside_value_hex": "437cdb0f19b8ddca", "outside_value": 1.2995451600698488e+17, "outside_value_hex": "437cdb0f19b8ddcb", "width": 16.0, "adjacent_64_bit_numbers": true, "stop_name": "BoronShareOutOfRange", "stop_sentence": "Physical Violation: peak boron density over line-averaged electron density 0.041426367869615836 is above 0.04142636786961583, the largest compared with measurement (BoronShareOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "444036869639498f66d0339fd75d61b2d20b48146cea0f1a9e7e9feffeea942b", "outside_proof": null, "inside_receipt": "72879484448a69b4d0e7d39e1c308d7b253a2307fe0b5050014f4eac6295200a", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:44:39Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"fusion_pb11_lhd\", \"parameters\": {\"beam_energy_kev\": 160, \"beam_power_w\": 2424000.0, \"electron_density_per_m3\": 3.137e+18, \"electron_temperature_kev\": 3.2438, \"boron_density_per_m3\": 1.2995451600698486e+17}}", "inside_answer": "{\"inputs\":{\"solver\":\"fusion_pb11_lhd\",\"parameters\":{\"beam_energy_kev\":160,\"beam_power_w\":2424000.0,\"electron_density_per_m3\":3.137e+18,\"electron_temperature_kev\":3.2438,\"boron_density_per_m3\":1.2995451600698486e+17}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"alpha_emission_rate_per_s\":1.9750930916511234e13,\"alpha_emission_rate_per_s_hex\":\"42b1f69f38a49f3c\",\"fusion_power_w\":9.15580288410347e0,\"fusion_power_w_hex\":\"40224fc56547b19b\",\"fusion_gain\":3.7771464043331148e-6,\"fusion_gain_hex\":\"3ecfaf5c3218a09d\",\"fused_fraction\":6.962481851305281e-8,\"fused_fraction_hex\":\"3e72b094c2b60c29\",\"peak_alpha_emissivity_per_m3_s\":1.7070052992145166e12,\"peak_alpha_emissivity_per_m3_s_hex\":\"4278d7171ca0e844\",\"peak_emissivity_radius\":3.75e-1,\"peak_emissivity_radius_hex\":\"3fd8000000000000\",\"slowing_time_s\":8.160025254356121e-1,\"slowing_time_s_hex\":\"3fea1cb15406612d\",\"energy_fraction_to_electrons\":6.54870857094073e-1,\"energy_fraction_to_electrons_hex\":\"3fe4f4b3ba4a5231\",\"energy_fraction_to_ions\":2.826290829210986e-1,\"energy_fraction_to_ions_hex\":\"3fd216984b02da93\"},\"invariants\":{\"proton_ledger_residual\":5.75938027547422e-16,\"proton_ledger_residual_hex\":\"3cc4c01738000000\",\"energy_ledger_residual\":1.4027212724698756e-11,\"energy_ledger_residual_hex\":\"3daed89e66666666\"},\"field_sha256\":\"93060ef3a3a186fe13459e0bf0425b9d7e4a16662c12ba171f6e38a6dfcb44af\",\"seal_parts\":{\"inputs\":\"258724c114ddc431709d2fa914b464335a8d26e5f6ee5fd2e4ad35ad42369d45\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e78ae39a91203012c02712a47b28e0ea9805dce81c4409b803cf79e40b8b8855\",\"invariants\":\"73e60e22e440dd6f954951712a3c52e2b95309b0802fa5926d92fdd197b0a422\",\"field_sha256\":\"33bed056c2c381411a7be6ea459b81d9b1b51a2ba377d28e1780a1ef1e8a9395\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"444036869639498f66d0339fd75d61b2d20b48146cea0f1a9e7e9feffeea942b\",\"receipt_sha256\":\"72879484448a69b4d0e7d39e1c308d7b253a2307fe0b5050014f4eac6295200a\"}", "outside_request": "{\"solver\": \"fusion_pb11_lhd\", \"parameters\": {\"beam_energy_kev\": 160, \"beam_power_w\": 2424000.0, \"electron_density_per_m3\": 3.137e+18, \"electron_temperature_kev\": 3.2438, \"boron_density_per_m3\": 1.2995451600698488e+17}}", "outside_answer": "Physical Violation: peak boron density over line-averaged electron density 0.041426367869615836 is above 0.04142636786961583, the largest compared with measurement (BoronShareOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-3f287df5cff4", "model": "fusion_pb11_thermal", "solver": "fusion_pb11_thermal", "tool": "solve", "specimen": "Energy balance of a uniform thermal proton-boron-11 plasma, ion temperature 200 to 450 keV: the electron temperature at which the electrons balance, fusion, bremsstrahlung, synchrotron and exchange power, and the ignition margin. No constant is fitted. No such plasma has been made: it is checked against published calculations only, it answers only inside the inputs of that comparison, and of its eight gated pass lines seven were met and one was missed.", "base": "example_solve", "input": "parameters.ion_temperature_kev", "input_unit": "keV", "whole_number_input": false, "base_value": 300.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 200.0, "inside_value_hex": "4069000000000000", "outside_value": 199.99999999999997, "outside_value_hex": "4068ffffffffffff", "width": 2.842170943040401e-14, "adjacent_64_bit_numbers": true, "stop_name": "IonTemperatureOutOfRange", "stop_sentence": "Physical Violation: 'ion_temperature_kev' 199.99999999999997 is outside 200 to 450 keV (IonTemperatureOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 44, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "103319cb1aa0617db86a468a49c7685ebf3a366be5bda50c2a04e1432d62019b", "outside_proof": null, "inside_receipt": "aa02d5db4feba70c7fddb312b0de638b16e837a41b00aca237f0f8b28d228a8c", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:44:42Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"fusion_pb11_thermal\", \"parameters\": {\"ion_temperature_kev\": 200.0, \"electron_density_per_m3\": 1.6e+20, \"boron_fraction\": 0.15, \"ash_fraction\": 0, \"magnetic_field_t\": 6.661098700751347, \"minor_radius_m\": 2, \"wall_reflectivity\": 0.95, \"energy_confinement_time_s\": 100, \"kinetic_enhancement\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"fusion_pb11_thermal\",\"parameters\":{\"ion_temperature_kev\":200.0,\"electron_density_per_m3\":1.6e+20,\"boron_fraction\":0.15,\"ash_fraction\":0,\"magnetic_field_t\":6.661098700751347,\"minor_radius_m\":2,\"wall_reflectivity\":0.95,\"energy_confinement_time_s\":100,\"kinetic_enhancement\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":44,\"result\":{\"electron_temperature_kev\":9.216788003082893e1,\"electron_temperature_kev_hex\":\"40570abe8be283f3\",\"reactivity_m3_per_s\":2.9477084402276342e-22,\"reactivity_m3_per_s_hex\":\"3b7645b2855af0de\",\"fusion_power_w_per_m3\":5.2266669676864386e5,\"fusion_power_w_per_m3_hex\":\"411fe6aac97db829\",\"bremsstrahlung_power_w_per_m3\":5.0729079620447295e5,\"bremsstrahlung_power_w_per_m3_hex\":\"411ef66b2f5039b1\",\"bremsstrahlung_power_xie_w_per_m3\":5.2306388496349705e5,\"bremsstrahlung_power_xie_w_per_m3_hex\":\"411fecdf8a33def8\",\"synchrotron_power_w_per_m3\":6.987692474972517e5,\"synchrotron_power_w_per_m3_hex\":\"412553227eb7f5b4\",\"ion_electron_power_w_per_m3\":1.115319303064231e6,\"ion_electron_power_w_per_m3_hex\":\"413104b74d959e11\",\"alpha_energy_fraction_to_electrons\":1.798262954582648e-1,\"alpha_energy_fraction_to_electrons_hex\":\"3fc7048c4cfa1f51\",\"auxiliary_power_w_per_m3\":7.314586459530806e5,\"auxiliary_power_w_per_m3_hex\":\"412652854aba5cb8\",\"ignition_margin\":-1.3075127058182965e0,\"ignition_margin_hex\":\"bff4eb927169813d\",\"ignition_loss_rate_per_s\":-8.183771958095704e-2,\"ignition_loss_rate_per_s_hex\":\"bfb4f351192def14\",\"pressure_pa\":5.567060848651349e6,\"pressure_pa_hex\":\"41553c9536504dbf\",\"beta\":3.1533638924425844e-1,\"beta_hex\":\"3fd42e78adc2bd80\",\"internal_field_t\":5.511686304767921e0,\"internal_field_t_hex\":\"40160bf77ea32841\",\"effective_charge\":2.875e0,\"effective_charge_hex\":\"4007000000000000\"},\"invariants\":{\"electron_energy_residual\":1.9305062369801203e-16,\"electron_energy_residual_hex\":\"3cabd24f96f66460\",\"total_energy_residual\":-8.213293517471646e-16,\"total_energy_residual_hex\":\"bccd976d19de03de\",\"charge_residual\":0.0e0,\"charge_residual_hex\":\"0000000000000000\"},\"field_sha256\":\"6dfebe3bfc8009cb5fa091c137b8a052192a3d316b243d562ae622cebefd149b\",\"seal_parts\":{\"inputs\":\"13d135ae1c62f2e0a913c0ad1dc082494340b098f26e48e7ae88871a1ecc5861\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"0d108b61ca888380629945ad586e4b81ba0fdd329b04bb9df03031a63141b35a\",\"invariants\":\"441d917edb6a449906ff8e6846bbb0b576ca1fea7e088d99a1fa437b19753ee3\",\"field_sha256\":\"a1bc5afc43bdfcedcde5548926ea83cf824460b48cd57fcfd9d69084b8299cc8\",\"outcome\":\"63ed91239796b3459a7afb45c3f973bd5c03cd3d09e070de7f6107ef1b88102b\"},\"solution_seal\":\"103319cb1aa0617db86a468a49c7685ebf3a366be5bda50c2a04e1432d62019b\",\"receipt_sha256\":\"aa02d5db4feba70c7fddb312b0de638b16e837a41b00aca237f0f8b28d228a8c\"}", "outside_request": "{\"solver\": \"fusion_pb11_thermal\", \"parameters\": {\"ion_temperature_kev\": 199.99999999999997, \"electron_density_per_m3\": 1.6e+20, \"boron_fraction\": 0.15, \"ash_fraction\": 0, \"magnetic_field_t\": 6.661098700751347, \"minor_radius_m\": 2, \"wall_reflectivity\": 0.95, \"energy_confinement_time_s\": 100, \"kinetic_enhancement\": false}}", "outside_answer": "Physical Violation: 'ion_temperature_kev' 199.99999999999997 is outside 200 to 450 keV (IonTemperatureOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-f7ca573fc2d1", "model": "fusion_pb11_thermal", "solver": "fusion_pb11_thermal", "tool": "solve", "specimen": "Energy balance of a uniform thermal proton-boron-11 plasma, ion temperature 200 to 450 keV: the electron temperature at which the electrons balance, fusion, bremsstrahlung, synchrotron and exchange power, and the ignition margin. No constant is fitted. No such plasma has been made: it is checked against published calculations only, it answers only inside the inputs of that comparison, and of its eight gated pass lines seven were met and one was missed.", "base": "example_solve", "input": "parameters.ion_temperature_kev", "input_unit": "keV", "whole_number_input": false, "base_value": 300.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 450.0, "inside_value_hex": "407c200000000000", "outside_value": 450.00000000000006, "outside_value_hex": "407c200000000001", "width": 5.684341886080802e-14, "adjacent_64_bit_numbers": true, "stop_name": "IonTemperatureOutOfRange", "stop_sentence": "Physical Violation: 'ion_temperature_kev' 450.00000000000006 is outside 200 to 450 keV (IonTemperatureOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 43, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "aae9ae3ca0687297e6bcb87039b18d0260ef2e9d1d9226872fc7649aa4f67dc6", "outside_proof": null, "inside_receipt": "65a8ae7d60173b7d25064c53eda729f1aeaac40ee08326f968879a15f05f88df", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:44:44Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"fusion_pb11_thermal\", \"parameters\": {\"ion_temperature_kev\": 450.0, \"electron_density_per_m3\": 1.6e+20, \"boron_fraction\": 0.15, \"ash_fraction\": 0, \"magnetic_field_t\": 6.661098700751347, \"minor_radius_m\": 2, \"wall_reflectivity\": 0.95, \"energy_confinement_time_s\": 100, \"kinetic_enhancement\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"fusion_pb11_thermal\",\"parameters\":{\"ion_temperature_kev\":450.0,\"electron_density_per_m3\":1.6e+20,\"boron_fraction\":0.15,\"ash_fraction\":0,\"magnetic_field_t\":6.661098700751347,\"minor_radius_m\":2,\"wall_reflectivity\":0.95,\"energy_confinement_time_s\":100,\"kinetic_enhancement\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":43,\"result\":{\"electron_temperature_kev\":1.4190451530589945e2,\"electron_temperature_kev_hex\":\"4061bcf1ca15323a\",\"reactivity_m3_per_s\":5.389698456310276e-22,\"reactivity_m3_per_s_hex\":\"3b845c98b428d7e3\",\"fusion_power_w_per_m3\":9.556629991944554e5,\"fusion_power_w_per_m3_hex\":\"412d2a1dff966a69\",\"bremsstrahlung_power_w_per_m3\":7.476271201201156e5,\"bremsstrahlung_power_w_per_m3_hex\":\"4126d0d63d806240\",\"bremsstrahlung_power_xie_w_per_m3\":7.612800073956577e5,\"bremsstrahlung_power_xie_w_per_m3_hex\":\"41273b8003c95d18\",\"synchrotron_power_w_per_m3\":1.1707974333322297e6,\"synchrotron_power_w_per_m3_hex\":\"4131dd6d6eeedc6b\",\"ion_electron_power_w_per_m3\":1.7652710459382222e6,\"ion_electron_power_w_per_m3_hex\":\"413aef970bc29b7a\",\"alpha_energy_fraction_to_electrons\":1.737723061798382e-1,\"alpha_energy_fraction_to_electrons_hex\":\"3fc63e2bc1ff1778\",\"auxiliary_power_w_per_m3\":1.0709084770528905e6,\"auxiliary_power_w_per_m3_hex\":\"4130573c7a202363\",\"ignition_margin\":-1.0074278852162515e0,\"ignition_margin_hex\":\"bff01e6cb3c150dd\",\"ignition_loss_rate_per_s\":-5.916953067268455e-2,\"ignition_loss_rate_per_s_hex\":\"bfae4b77fe5154a9\",\"pressure_pa\":1.0847492431915319e7,\"pressure_pa_hex\":\"4164b0a08dd24013\",\"beta\":6.144371669052725e-1,\"beta_hex\":\"3fe3a9782229c2e1\",\"internal_field_t\":4.136123046903861e0,\"internal_field_t_hex\":\"40108b63d70abc5f\",\"effective_charge\":2.875e0,\"effective_charge_hex\":\"4007000000000000\"},\"invariants\":{\"electron_energy_residual\":3.6409663841333833e-16,\"electron_energy_residual_hex\":\"3cba3c65c303454f\",\"total_energy_residual\":4.5681109054027123e-17,\"total_energy_residual_hex\":\"3c8a555781a1e258\",\"charge_residual\":0.0e0,\"charge_residual_hex\":\"0000000000000000\"},\"field_sha256\":\"14b9b9b406e453fa09176c01495a4d85d2628d19b5587e0c630a259dca976496\",\"seal_parts\":{\"inputs\":\"44a0d08dcd7779f1f7fb943b3e96d43e1d69590380229d049874b7c802da449b\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"41f4aaa99500d5431e26715c4956f79fd6dc55789d8603987716ac70a7a34b83\",\"invariants\":\"6662074ef51de3002ee9e71fe5629589437b88d184ba869c66fe47c424ee4892\",\"field_sha256\":\"e71251d28265c0e84046154850c9bc751001d7172aee6d6b114cfa9ee23da400\",\"outcome\":\"d72d86a7e17064ae221bad45c33a7473c121c7e21685a61f836964899613f72c\"},\"solution_seal\":\"aae9ae3ca0687297e6bcb87039b18d0260ef2e9d1d9226872fc7649aa4f67dc6\",\"receipt_sha256\":\"65a8ae7d60173b7d25064c53eda729f1aeaac40ee08326f968879a15f05f88df\"}", "outside_request": "{\"solver\": \"fusion_pb11_thermal\", \"parameters\": {\"ion_temperature_kev\": 450.00000000000006, \"electron_density_per_m3\": 1.6e+20, \"boron_fraction\": 0.15, \"ash_fraction\": 0, \"magnetic_field_t\": 6.661098700751347, \"minor_radius_m\": 2, \"wall_reflectivity\": 0.95, \"energy_confinement_time_s\": 100, \"kinetic_enhancement\": false}}", "outside_answer": "Physical Violation: 'ion_temperature_kev' 450.00000000000006 is outside 200 to 450 keV (IonTemperatureOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-2c444fe45ffc", "model": "fusion_pb11_thermal", "solver": "fusion_pb11_thermal", "tool": "solve", "specimen": "Energy balance of a uniform thermal proton-boron-11 plasma, ion temperature 200 to 450 keV: the electron temperature at which the electrons balance, fusion, bremsstrahlung, synchrotron and exchange power, and the ignition margin. No constant is fitted. No such plasma has been made: it is checked against published calculations only, it answers only inside the inputs of that comparison, and of its eight gated pass lines seven were met and one was missed.", "base": "example_solve", "input": "parameters.electron_density_per_m3", "input_unit": "m^-3", "whole_number_input": false, "base_value": 1.6e+20, "edge_kind": "declared_limit", "direction": "down", "inside_value": 1.52e+20, "inside_value_hex": "44207ad8f556c6c0", "outside_value": 1.5199999999999997e+20, "outside_value_hex": "44207ad8f556c6bf", "width": 32768.0, "adjacent_64_bit_numbers": true, "stop_name": "ElectronDensityOutOfRange", "stop_sentence": "Physical Violation: 'electron_density_per_m3' 1.5199999999999997e+20 is outside 152000000000000000000 to 160000000000000000000 m^-3 (ElectronDensityOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 44, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "cbb44b5e6577b8e165676eb87dd90b3b5db09da3e7d79cdab5a1880bdadd93fa", "outside_proof": null, "inside_receipt": "0902eaf12ddb84ec47951fe8436ba0fc738326b709ba6103d019c1ff3ccc77c3", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:44:46Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"fusion_pb11_thermal\", \"parameters\": {\"ion_temperature_kev\": 300, \"electron_density_per_m3\": 1.52e+20, \"boron_fraction\": 0.15, \"ash_fraction\": 0, \"magnetic_field_t\": 6.661098700751347, \"minor_radius_m\": 2, \"wall_reflectivity\": 0.95, \"energy_confinement_time_s\": 100, \"kinetic_enhancement\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"fusion_pb11_thermal\",\"parameters\":{\"ion_temperature_kev\":300,\"electron_density_per_m3\":1.52e+20,\"boron_fraction\":0.15,\"ash_fraction\":0,\"magnetic_field_t\":6.661098700751347,\"minor_radius_m\":2,\"wall_reflectivity\":0.95,\"energy_confinement_time_s\":100,\"kinetic_enhancement\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":44,\"result\":{\"electron_temperature_kev\":1.1089416867614611e2,\"electron_temperature_kev_hex\":\"405bb93a0f4149ee\",\"reactivity_m3_per_s\":4.374145216151164e-22,\"reactivity_m3_per_s_hex\":\"3b808669e66fdd77\",\"fusion_power_w_per_m3\":6.999720698631332e5,\"fusion_power_w_per_m3_hex\":\"41255c8823c519c1\",\"bremsstrahlung_power_w_per_m3\":5.360491751539555e5,\"bremsstrahlung_power_w_per_m3_hex\":\"41205be259adc77d\",\"bremsstrahlung_power_xie_w_per_m3\":5.492833600294089e5,\"bremsstrahlung_power_xie_w_per_m3_hex\":\"4120c346b855c652\",\"synchrotron_power_w_per_m3\":9.513482781280854e5,\"synchrotron_power_w_per_m3_hex\":\"412d08688e66cdee\",\"ion_electron_power_w_per_m3\":1.3690652325887426e6,\"ion_electron_power_w_per_m3_hex\":\"4134e3e93b8aef93\",\"alpha_energy_fraction_to_electrons\":1.7829624365363425e-1,\"alpha_energy_fraction_to_electrons_hex\":\"3fc6d2694bbefa13\",\"auxiliary_power_w_per_m3\":8.55918434522408e5,\"auxiliary_power_w_per_m3_hex\":\"412a1edcde79b897\",\"ignition_margin\":-1.1249382901418834e0,\"ignition_margin_hex\":\"bff1ffbf4ae2d73d\",\"ignition_loss_rate_per_s\":-7.223935141382644e-2,\"ignition_loss_rate_per_s_hex\":\"bfb27e4733ce7fb1\",\"pressure_pa\":7.2668185045765955e6,\"pressure_pa_hex\":\"415bb880a04afba2\",\"beta\":4.116161778762796e-1,\"beta_hex\":\"3fda57eb619eebc2\",\"internal_field_t\":5.109474433642907e0,\"internal_field_t_hex\":\"4014701a10e0fa46\",\"effective_charge\":2.875e0,\"effective_charge_hex\":\"4007000000000000\"},\"invariants\":{\"electron_energy_residual\":7.826779692950038e-17,\"electron_energy_residual_hex\":\"3c968f24e235af95\",\"total_energy_residual\":2.7026063769338507e-16,\"total_energy_residual_hex\":\"3cb3796dc6eedc3a\",\"charge_residual\":0.0e0,\"charge_residual_hex\":\"0000000000000000\"},\"field_sha256\":\"7571d1889a199da69c20da18114aed500d2b36eee698f3c0b55eb872223c99e2\",\"seal_parts\":{\"inputs\":\"eee95c6463e21993511a32fda471236da667f72db33d3680f883f99712b335a1\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"691786ec1a12be9c509397e3204336313d849d8415e9ad888abe69b50e333d15\",\"invariants\":\"8f20cb6e2c01f72a63bfa4f23badcf79a9a62480ea65ecd58e38b3087a115515\",\"field_sha256\":\"1c75d7e14038602c15419544c154209baf367e3bde42a933915ee4a210f09a22\",\"outcome\":\"63ed91239796b3459a7afb45c3f973bd5c03cd3d09e070de7f6107ef1b88102b\"},\"solution_seal\":\"cbb44b5e6577b8e165676eb87dd90b3b5db09da3e7d79cdab5a1880bdadd93fa\",\"receipt_sha256\":\"0902eaf12ddb84ec47951fe8436ba0fc738326b709ba6103d019c1ff3ccc77c3\"}", "outside_request": "{\"solver\": \"fusion_pb11_thermal\", \"parameters\": {\"ion_temperature_kev\": 300, \"electron_density_per_m3\": 1.5199999999999997e+20, \"boron_fraction\": 0.15, \"ash_fraction\": 0, \"magnetic_field_t\": 6.661098700751347, \"minor_radius_m\": 2, \"wall_reflectivity\": 0.95, \"energy_confinement_time_s\": 100, \"kinetic_enhancement\": false}}", "outside_answer": "Physical Violation: 'electron_density_per_m3' 1.5199999999999997e+20 is outside 152000000000000000000 to 160000000000000000000 m^-3 (ElectronDensityOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-7fd0afb52ec0", "model": "fusion_pb11_thermal", "solver": "fusion_pb11_thermal", "tool": "solve", "specimen": "Energy balance of a uniform thermal proton-boron-11 plasma, ion temperature 200 to 450 keV: the electron temperature at which the electrons balance, fusion, bremsstrahlung, synchrotron and exchange power, and the ignition margin. No constant is fitted. No such plasma has been made: it is checked against published calculations only, it answers only inside the inputs of that comparison, and of its eight gated pass lines seven were met and one was missed.", "base": "example_solve", "input": "parameters.electron_density_per_m3", "input_unit": "m^-3", "whole_number_input": false, "base_value": 1.6e+20, "edge_kind": "declared_limit", "direction": "up", "inside_value": 1.6e+20, "inside_value_hex": "442158e460913d00", "outside_value": 1.6000000000000003e+20, "outside_value_hex": "442158e460913d01", "width": 32768.0, "adjacent_64_bit_numbers": true, "stop_name": "ElectronDensityOutOfRange", "stop_sentence": "Physical Violation: 'electron_density_per_m3' 1.6000000000000003e+20 is outside 152000000000000000000 to 160000000000000000000 m^-3 (ElectronDensityOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 44, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "eb23f1ab40ba3b611704de6fae0278a5dab60c1f8b636346594842d76c69350e", "outside_proof": null, "inside_receipt": "fac8748595113a7a925e0207febbd8d211fb7a14a9a8e20aa037613f91e11c57", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:44:48Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"fusion_pb11_thermal\", \"parameters\": {\"ion_temperature_kev\": 300, \"electron_density_per_m3\": 1.6e+20, \"boron_fraction\": 0.15, \"ash_fraction\": 0, \"magnetic_field_t\": 6.661098700751347, \"minor_radius_m\": 2, \"wall_reflectivity\": 0.95, \"energy_confinement_time_s\": 100, \"kinetic_enhancement\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"fusion_pb11_thermal\",\"parameters\":{\"ion_temperature_kev\":300,\"electron_density_per_m3\":1.6e+20,\"boron_fraction\":0.15,\"ash_fraction\":0,\"magnetic_field_t\":6.661098700751347,\"minor_radius_m\":2,\"wall_reflectivity\":0.95,\"energy_confinement_time_s\":100,\"kinetic_enhancement\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":44,\"result\":{\"electron_temperature_kev\":1.1315239895997149e2,\"electron_temperature_kev_hex\":\"405c49c0e7914168\",\"reactivity_m3_per_s\":4.374145216151164e-22,\"reactivity_m3_per_s_hex\":\"3b808669e66fdd77\",\"fusion_power_w_per_m3\":7.755923211779869e5,\"fusion_power_w_per_m3_hex\":\"4127ab50a47170ec\",\"bremsstrahlung_power_w_per_m3\":6.047026500113494e5,\"bremsstrahlung_power_w_per_m3_hex\":\"4122743d4cce499f\",\"bremsstrahlung_power_xie_w_per_m3\":6.192571851772622e5,\"bremsstrahlung_power_xie_w_per_m3_hex\":\"4122e5f25ecf8dda\",\"synchrotron_power_w_per_m3\":9.793755753789659e5,\"synchrotron_power_w_per_m3_hex\":\"412de35f26981263\",\"ion_electron_power_w_per_m3\":1.4561275163435137e6,\"ion_electron_power_w_per_m3_hex\":\"413637ff842f16a9\",\"alpha_energy_fraction_to_electrons\":1.7399192225615986e-1,\"alpha_energy_fraction_to_electrons_hex\":\"3fc6455e07eddf6f\",\"auxiliary_power_w_per_m3\":8.805838527423292e5,\"auxiliary_power_w_per_m3_hex\":\"412adf8fb49aa480\",\"ignition_margin\":-1.042410918901805e0,\"ignition_margin_hex\":\"bff0adb7125ad331\",\"ignition_loss_rate_per_s\":-6.993364160143607e-2,\"ignition_loss_rate_per_s_hex\":\"bfb1e72bcf917f95\",\"pressure_pa\":7.707171977115395e6,\"pressure_pa_hex\":\"415d6688fe890f02\",\"beta\":4.3655922732313357e-1,\"beta_hex\":\"3fdbf0961d07ac40\",\"internal_field_t\":4.999999999999951e0,\"internal_field_t_hex\":\"4013ffffffffffc9\",\"effective_charge\":2.875e0,\"effective_charge_hex\":\"4007000000000000\"},\"invariants\":{\"electron_energy_residual\":1.4698178405709753e-16,\"electron_energy_residual_hex\":\"3ca52eabb384f076\",\"total_energy_residual\":6.754437014352371e-16,\"total_energy_residual_hex\":\"3cc855de592e399a\",\"charge_residual\":0.0e0,\"charge_residual_hex\":\"0000000000000000\"},\"field_sha256\":\"7a39fefbca79ee0959784f4de2c9e3fc10f3b501d68ec9c6f865a3ae4c2a9137\",\"seal_parts\":{\"inputs\":\"19c1061a5adb5eb48c63a06c367ed1a2e8df4b0d4d0248c398bb94809eb1c859\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"eb4207632fcbb9af9fa3c1c9ce9c297bfd10cfd2021a857b854ea16a209a179a\",\"invariants\":\"a45f1bfcd67c685a8daf90ad7b05c106a7a8219a3009696ecc7fa2d5c5e2b30b\",\"field_sha256\":\"f4092321f00ee4d49f7f8c4b9c86cec3b90429523904720b8d895ad48fa87fa8\",\"outcome\":\"63ed91239796b3459a7afb45c3f973bd5c03cd3d09e070de7f6107ef1b88102b\"},\"solution_seal\":\"eb23f1ab40ba3b611704de6fae0278a5dab60c1f8b636346594842d76c69350e\",\"receipt_sha256\":\"fac8748595113a7a925e0207febbd8d211fb7a14a9a8e20aa037613f91e11c57\"}", "outside_request": "{\"solver\": \"fusion_pb11_thermal\", \"parameters\": {\"ion_temperature_kev\": 300, \"electron_density_per_m3\": 1.6000000000000003e+20, \"boron_fraction\": 0.15, \"ash_fraction\": 0, \"magnetic_field_t\": 6.661098700751347, \"minor_radius_m\": 2, \"wall_reflectivity\": 0.95, \"energy_confinement_time_s\": 100, \"kinetic_enhancement\": false}}", "outside_answer": "Physical Violation: 'electron_density_per_m3' 1.6000000000000003e+20 is outside 152000000000000000000 to 160000000000000000000 m^-3 (ElectronDensityOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-43fa2b05a533", "model": "fusion_pb11_thermal", "solver": "fusion_pb11_thermal", "tool": "solve", "specimen": "Energy balance of a uniform thermal proton-boron-11 plasma, ion temperature 200 to 450 keV: the electron temperature at which the electrons balance, fusion, bremsstrahlung, synchrotron and exchange power, and the ignition margin. No constant is fitted. No such plasma has been made: it is checked against published calculations only, it answers only inside the inputs of that comparison, and of its eight gated pass lines seven were met and one was missed.", "base": "example_solve", "input": "parameters.boron_fraction", "input_unit": "", "whole_number_input": false, "base_value": 0.15, "edge_kind": "declared_limit", "direction": "down", "inside_value": 0.13, "inside_value_hex": "3fc0a3d70a3d70a4", "outside_value": 0.12999999999999998, "outside_value_hex": "3fc0a3d70a3d70a3", "width": 2.7755575615628914e-17, "adjacent_64_bit_numbers": true, "stop_name": "BoronFractionOutOfRange", "stop_sentence": "Physical Violation: 'boron_fraction' 0.12999999999999998 is outside 0.13 to 0.15 (BoronFractionOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 44, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "51230d649b6082f74cbbe0a26fa4f1dbe7091677ed9839622beb012d3dc28263", "outside_proof": null, "inside_receipt": "769ee0345841b3d44f82a253e05d268d006195ce09e6498548269a6160c717fd", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:44:50Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"fusion_pb11_thermal\", \"parameters\": {\"ion_temperature_kev\": 300, \"electron_density_per_m3\": 1.6e+20, \"boron_fraction\": 0.13, \"ash_fraction\": 0, \"magnetic_field_t\": 6.661098700751347, \"minor_radius_m\": 2, \"wall_reflectivity\": 0.95, \"energy_confinement_time_s\": 100, \"kinetic_enhancement\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"fusion_pb11_thermal\",\"parameters\":{\"ion_temperature_kev\":300,\"electron_density_per_m3\":1.6e+20,\"boron_fraction\":0.13,\"ash_fraction\":0,\"magnetic_field_t\":6.661098700751347,\"minor_radius_m\":2,\"wall_reflectivity\":0.95,\"energy_confinement_time_s\":100,\"kinetic_enhancement\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":44,\"result\":{\"electron_temperature_kev\":1.1508311035023709e2,\"electron_temperature_kev_hex\":\"405cc551ae130e8e\",\"reactivity_m3_per_s\":4.374145216151164e-22,\"reactivity_m3_per_s_hex\":\"3b808669e66fdd77\",\"fusion_power_w_per_m3\":7.623224509280785e5,\"fusion_power_w_per_m3_hex\":\"412743a4e6e00b8c\",\"bremsstrahlung_power_w_per_m3\":5.83912156314842e5,\"bremsstrahlung_power_w_per_m3_hex\":\"4121d1d050087fbd\",\"bremsstrahlung_power_xie_w_per_m3\":5.968680976079021e5,\"bremsstrahlung_power_xie_w_per_m3_hex\":\"4122370831f9a9b7\",\"synchrotron_power_w_per_m3\":9.889809203327149e5,\"synchrotron_power_w_per_m3_hex\":\"412e2e69d735d980\",\"ion_electron_power_w_per_m3\":1.4501605152803597e6,\"ion_electron_power_w_per_m3_hex\":\"413620b083e969e5\",\"alpha_energy_fraction_to_electrons\":1.6980128696828203e-1,\"alpha_energy_fraction_to_electrons_hex\":\"3fc5bc0c6f2c7a4d\",\"auxiliary_power_w_per_m3\":8.86463203119479e5,\"auxiliary_power_w_per_m3_hex\":\"412b0d7e67ff46bf\",\"ignition_margin\":-1.0632910322038418e0,\"ignition_margin_hex\":\"bff1033d7517211c\",\"ignition_loss_rate_per_s\":-6.746624952789156e-2,\"ignition_loss_rate_per_s_hex\":\"bfb14577d74e5a95\",\"pressure_pa\":8.009640685939094e6,\"pressure_pa_hex\":\"415e8dea2be66d16\",\"beta\":4.536920363749593e-1,\"beta_hex\":\"3fdd094a52abe8f1\",\"internal_field_t\":4.923394481525996e0,\"internal_field_t_hex\":\"4013b18e52add818\",\"effective_charge\":2.710526315789474e0,\"effective_charge_hex\":\"4005af286bca1af3\"},\"invariants\":{\"electron_energy_residual\":2.220405001878338e-16,\"electron_energy_residual_hex\":\"3cafffd93b5abc7a\",\"total_energy_residual\":5.535787921618656e-16,\"total_energy_residual_hex\":\"3cc3f1dcf7848d39\",\"charge_residual\":0.0e0,\"charge_residual_hex\":\"0000000000000000\"},\"field_sha256\":\"ae19dbadf907be32aa1a712aa5be84c06388c546be4aaad6340f55f42dde940b\",\"seal_parts\":{\"inputs\":\"d785ca5c7b8e050e613ea3ca12db4e7f826122eb13bdcbc827cb1cc31282750c\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"2b34cdb161dbcbb2d22e9bf8f7db7d30057ae622c9f095e7a23b0fa6ea6a20a8\",\"invariants\":\"77784f2160aef01bee932ffbf50fefc1228ed54fc3daf88a0bcc8953b74a46f3\",\"field_sha256\":\"333811dfc8f13243783c522d831f0cfd621bb9f340ccd144bf0dbfc6c33bfe21\",\"outcome\":\"63ed91239796b3459a7afb45c3f973bd5c03cd3d09e070de7f6107ef1b88102b\"},\"solution_seal\":\"51230d649b6082f74cbbe0a26fa4f1dbe7091677ed9839622beb012d3dc28263\",\"receipt_sha256\":\"769ee0345841b3d44f82a253e05d268d006195ce09e6498548269a6160c717fd\"}", "outside_request": "{\"solver\": \"fusion_pb11_thermal\", \"parameters\": {\"ion_temperature_kev\": 300, \"electron_density_per_m3\": 1.6e+20, \"boron_fraction\": 0.12999999999999998, \"ash_fraction\": 0, \"magnetic_field_t\": 6.661098700751347, \"minor_radius_m\": 2, \"wall_reflectivity\": 0.95, \"energy_confinement_time_s\": 100, \"kinetic_enhancement\": false}}", "outside_answer": "Physical Violation: 'boron_fraction' 0.12999999999999998 is outside 0.13 to 0.15 (BoronFractionOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-76ce277c9a33", "model": "fusion_pb11_thermal", "solver": "fusion_pb11_thermal", "tool": "solve", "specimen": "Energy balance of a uniform thermal proton-boron-11 plasma, ion temperature 200 to 450 keV: the electron temperature at which the electrons balance, fusion, bremsstrahlung, synchrotron and exchange power, and the ignition margin. No constant is fitted. No such plasma has been made: it is checked against published calculations only, it answers only inside the inputs of that comparison, and of its eight gated pass lines seven were met and one was missed.", "base": "example_solve", "input": "parameters.boron_fraction", "input_unit": "", "whole_number_input": false, "base_value": 0.15, "edge_kind": "declared_limit", "direction": "up", "inside_value": 0.15, "inside_value_hex": "3fc3333333333333", "outside_value": 0.15000000000000002, "outside_value_hex": "3fc3333333333334", "width": 2.7755575615628914e-17, "adjacent_64_bit_numbers": true, "stop_name": "BoronFractionOutOfRange", "stop_sentence": "Physical Violation: 'boron_fraction' 0.15000000000000002 is outside 0.13 to 0.15 (BoronFractionOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 44, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "eb23f1ab40ba3b611704de6fae0278a5dab60c1f8b636346594842d76c69350e", "outside_proof": null, "inside_receipt": "fac8748595113a7a925e0207febbd8d211fb7a14a9a8e20aa037613f91e11c57", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:44:48Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"fusion_pb11_thermal\", \"parameters\": {\"ion_temperature_kev\": 300, \"electron_density_per_m3\": 1.6e+20, \"boron_fraction\": 0.15, \"ash_fraction\": 0, \"magnetic_field_t\": 6.661098700751347, \"minor_radius_m\": 2, \"wall_reflectivity\": 0.95, \"energy_confinement_time_s\": 100, \"kinetic_enhancement\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"fusion_pb11_thermal\",\"parameters\":{\"ion_temperature_kev\":300,\"electron_density_per_m3\":1.6e+20,\"boron_fraction\":0.15,\"ash_fraction\":0,\"magnetic_field_t\":6.661098700751347,\"minor_radius_m\":2,\"wall_reflectivity\":0.95,\"energy_confinement_time_s\":100,\"kinetic_enhancement\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":44,\"result\":{\"electron_temperature_kev\":1.1315239895997149e2,\"electron_temperature_kev_hex\":\"405c49c0e7914168\",\"reactivity_m3_per_s\":4.374145216151164e-22,\"reactivity_m3_per_s_hex\":\"3b808669e66fdd77\",\"fusion_power_w_per_m3\":7.755923211779869e5,\"fusion_power_w_per_m3_hex\":\"4127ab50a47170ec\",\"bremsstrahlung_power_w_per_m3\":6.047026500113494e5,\"bremsstrahlung_power_w_per_m3_hex\":\"4122743d4cce499f\",\"bremsstrahlung_power_xie_w_per_m3\":6.192571851772622e5,\"bremsstrahlung_power_xie_w_per_m3_hex\":\"4122e5f25ecf8dda\",\"synchrotron_power_w_per_m3\":9.793755753789659e5,\"synchrotron_power_w_per_m3_hex\":\"412de35f26981263\",\"ion_electron_power_w_per_m3\":1.4561275163435137e6,\"ion_electron_power_w_per_m3_hex\":\"413637ff842f16a9\",\"alpha_energy_fraction_to_electrons\":1.7399192225615986e-1,\"alpha_energy_fraction_to_electrons_hex\":\"3fc6455e07eddf6f\",\"auxiliary_power_w_per_m3\":8.805838527423292e5,\"auxiliary_power_w_per_m3_hex\":\"412adf8fb49aa480\",\"ignition_margin\":-1.042410918901805e0,\"ignition_margin_hex\":\"bff0adb7125ad331\",\"ignition_loss_rate_per_s\":-6.993364160143607e-2,\"ignition_loss_rate_per_s_hex\":\"bfb1e72bcf917f95\",\"pressure_pa\":7.707171977115395e6,\"pressure_pa_hex\":\"415d6688fe890f02\",\"beta\":4.3655922732313357e-1,\"beta_hex\":\"3fdbf0961d07ac40\",\"internal_field_t\":4.999999999999951e0,\"internal_field_t_hex\":\"4013ffffffffffc9\",\"effective_charge\":2.875e0,\"effective_charge_hex\":\"4007000000000000\"},\"invariants\":{\"electron_energy_residual\":1.4698178405709753e-16,\"electron_energy_residual_hex\":\"3ca52eabb384f076\",\"total_energy_residual\":6.754437014352371e-16,\"total_energy_residual_hex\":\"3cc855de592e399a\",\"charge_residual\":0.0e0,\"charge_residual_hex\":\"0000000000000000\"},\"field_sha256\":\"7a39fefbca79ee0959784f4de2c9e3fc10f3b501d68ec9c6f865a3ae4c2a9137\",\"seal_parts\":{\"inputs\":\"19c1061a5adb5eb48c63a06c367ed1a2e8df4b0d4d0248c398bb94809eb1c859\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"eb4207632fcbb9af9fa3c1c9ce9c297bfd10cfd2021a857b854ea16a209a179a\",\"invariants\":\"a45f1bfcd67c685a8daf90ad7b05c106a7a8219a3009696ecc7fa2d5c5e2b30b\",\"field_sha256\":\"f4092321f00ee4d49f7f8c4b9c86cec3b90429523904720b8d895ad48fa87fa8\",\"outcome\":\"63ed91239796b3459a7afb45c3f973bd5c03cd3d09e070de7f6107ef1b88102b\"},\"solution_seal\":\"eb23f1ab40ba3b611704de6fae0278a5dab60c1f8b636346594842d76c69350e\",\"receipt_sha256\":\"fac8748595113a7a925e0207febbd8d211fb7a14a9a8e20aa037613f91e11c57\"}", "outside_request": "{\"solver\": \"fusion_pb11_thermal\", \"parameters\": {\"ion_temperature_kev\": 300, \"electron_density_per_m3\": 1.6e+20, \"boron_fraction\": 0.15000000000000002, \"ash_fraction\": 0, \"magnetic_field_t\": 6.661098700751347, \"minor_radius_m\": 2, \"wall_reflectivity\": 0.95, \"energy_confinement_time_s\": 100, \"kinetic_enhancement\": false}}", "outside_answer": "Physical Violation: 'boron_fraction' 0.15000000000000002 is outside 0.13 to 0.15 (BoronFractionOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-84c009bae205", "model": "fusion_pb11_thermal", "solver": "fusion_pb11_thermal", "tool": "solve", "specimen": "Energy balance of a uniform thermal proton-boron-11 plasma, ion temperature 200 to 450 keV: the electron temperature at which the electrons balance, fusion, bremsstrahlung, synchrotron and exchange power, and the ignition margin. No constant is fitted. No such plasma has been made: it is checked against published calculations only, it answers only inside the inputs of that comparison, and of its eight gated pass lines seven were met and one was missed.", "base": "example_solve", "input": "parameters.magnetic_field_t", "input_unit": "T", "whole_number_input": false, "base_value": 6.661098700751347, "edge_kind": "declared_limit", "direction": "down", "inside_value": 6.661098700751347, "inside_value_hex": "401aa4f70ecc9ed9", "outside_value": 6.661098700751346, "outside_value_hex": "401aa4f70ecc9ed8", "width": 8.881784197001252e-16, "adjacent_64_bit_numbers": true, "stop_name": "MagneticFieldOutOfRange", "stop_sentence": "Physical Violation: 'magnetic_field_t' 6.661098700751346 is outside 6.661098700751347 to 20 T (MagneticFieldOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 44, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "eb23f1ab40ba3b611704de6fae0278a5dab60c1f8b636346594842d76c69350e", "outside_proof": null, "inside_receipt": "fac8748595113a7a925e0207febbd8d211fb7a14a9a8e20aa037613f91e11c57", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:44:48Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"fusion_pb11_thermal\", \"parameters\": {\"ion_temperature_kev\": 300, \"electron_density_per_m3\": 1.6e+20, \"boron_fraction\": 0.15, \"ash_fraction\": 0, \"magnetic_field_t\": 6.661098700751347, \"minor_radius_m\": 2, \"wall_reflectivity\": 0.95, \"energy_confinement_time_s\": 100, \"kinetic_enhancement\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"fusion_pb11_thermal\",\"parameters\":{\"ion_temperature_kev\":300,\"electron_density_per_m3\":1.6e+20,\"boron_fraction\":0.15,\"ash_fraction\":0,\"magnetic_field_t\":6.661098700751347,\"minor_radius_m\":2,\"wall_reflectivity\":0.95,\"energy_confinement_time_s\":100,\"kinetic_enhancement\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":44,\"result\":{\"electron_temperature_kev\":1.1315239895997149e2,\"electron_temperature_kev_hex\":\"405c49c0e7914168\",\"reactivity_m3_per_s\":4.374145216151164e-22,\"reactivity_m3_per_s_hex\":\"3b808669e66fdd77\",\"fusion_power_w_per_m3\":7.755923211779869e5,\"fusion_power_w_per_m3_hex\":\"4127ab50a47170ec\",\"bremsstrahlung_power_w_per_m3\":6.047026500113494e5,\"bremsstrahlung_power_w_per_m3_hex\":\"4122743d4cce499f\",\"bremsstrahlung_power_xie_w_per_m3\":6.192571851772622e5,\"bremsstrahlung_power_xie_w_per_m3_hex\":\"4122e5f25ecf8dda\",\"synchrotron_power_w_per_m3\":9.793755753789659e5,\"synchrotron_power_w_per_m3_hex\":\"412de35f26981263\",\"ion_electron_power_w_per_m3\":1.4561275163435137e6,\"ion_electron_power_w_per_m3_hex\":\"413637ff842f16a9\",\"alpha_energy_fraction_to_electrons\":1.7399192225615986e-1,\"alpha_energy_fraction_to_electrons_hex\":\"3fc6455e07eddf6f\",\"auxiliary_power_w_per_m3\":8.805838527423292e5,\"auxiliary_power_w_per_m3_hex\":\"412adf8fb49aa480\",\"ignition_margin\":-1.042410918901805e0,\"ignition_margin_hex\":\"bff0adb7125ad331\",\"ignition_loss_rate_per_s\":-6.993364160143607e-2,\"ignition_loss_rate_per_s_hex\":\"bfb1e72bcf917f95\",\"pressure_pa\":7.707171977115395e6,\"pressure_pa_hex\":\"415d6688fe890f02\",\"beta\":4.3655922732313357e-1,\"beta_hex\":\"3fdbf0961d07ac40\",\"internal_field_t\":4.999999999999951e0,\"internal_field_t_hex\":\"4013ffffffffffc9\",\"effective_charge\":2.875e0,\"effective_charge_hex\":\"4007000000000000\"},\"invariants\":{\"electron_energy_residual\":1.4698178405709753e-16,\"electron_energy_residual_hex\":\"3ca52eabb384f076\",\"total_energy_residual\":6.754437014352371e-16,\"total_energy_residual_hex\":\"3cc855de592e399a\",\"charge_residual\":0.0e0,\"charge_residual_hex\":\"0000000000000000\"},\"field_sha256\":\"7a39fefbca79ee0959784f4de2c9e3fc10f3b501d68ec9c6f865a3ae4c2a9137\",\"seal_parts\":{\"inputs\":\"19c1061a5adb5eb48c63a06c367ed1a2e8df4b0d4d0248c398bb94809eb1c859\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"eb4207632fcbb9af9fa3c1c9ce9c297bfd10cfd2021a857b854ea16a209a179a\",\"invariants\":\"a45f1bfcd67c685a8daf90ad7b05c106a7a8219a3009696ecc7fa2d5c5e2b30b\",\"field_sha256\":\"f4092321f00ee4d49f7f8c4b9c86cec3b90429523904720b8d895ad48fa87fa8\",\"outcome\":\"63ed91239796b3459a7afb45c3f973bd5c03cd3d09e070de7f6107ef1b88102b\"},\"solution_seal\":\"eb23f1ab40ba3b611704de6fae0278a5dab60c1f8b636346594842d76c69350e\",\"receipt_sha256\":\"fac8748595113a7a925e0207febbd8d211fb7a14a9a8e20aa037613f91e11c57\"}", "outside_request": "{\"solver\": \"fusion_pb11_thermal\", \"parameters\": {\"ion_temperature_kev\": 300, \"electron_density_per_m3\": 1.6e+20, \"boron_fraction\": 0.15, \"ash_fraction\": 0, \"magnetic_field_t\": 6.661098700751346, \"minor_radius_m\": 2, \"wall_reflectivity\": 0.95, \"energy_confinement_time_s\": 100, \"kinetic_enhancement\": false}}", "outside_answer": "Physical Violation: 'magnetic_field_t' 6.661098700751346 is outside 6.661098700751347 to 20 T (MagneticFieldOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-7fbcefd7a5ab", "model": "fusion_pb11_thermal", "solver": "fusion_pb11_thermal", "tool": "solve", "specimen": "Energy balance of a uniform thermal proton-boron-11 plasma, ion temperature 200 to 450 keV: the electron temperature at which the electrons balance, fusion, bremsstrahlung, synchrotron and exchange power, and the ignition margin. No constant is fitted. No such plasma has been made: it is checked against published calculations only, it answers only inside the inputs of that comparison, and of its eight gated pass lines seven were met and one was missed.", "base": "example_solve", "input": "parameters.magnetic_field_t", "input_unit": "T", "whole_number_input": false, "base_value": 6.661098700751347, "edge_kind": "declared_limit", "direction": "up", "inside_value": 20.0, "inside_value_hex": "4034000000000000", "outside_value": 20.000000000000004, "outside_value_hex": "4034000000000001", "width": 3.552713678800501e-15, "adjacent_64_bit_numbers": true, "stop_name": "MagneticFieldOutOfRange", "stop_sentence": "Physical Violation: 'magnetic_field_t' 20.000000000000004 is outside 6.661098700751347 to 20 T (MagneticFieldOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 45, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "8a345a83d0f8820824f2ac503c47b2306b52c83afb4555e9c59252274449e69c", "outside_proof": null, "inside_receipt": "f776904c4ac608287c0a78df01aec98cee8cac860b7e54d13c6933509631f7d3", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:44:54Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"fusion_pb11_thermal\", \"parameters\": {\"ion_temperature_kev\": 300, \"electron_density_per_m3\": 1.6e+20, \"boron_fraction\": 0.15, \"ash_fraction\": 0, \"magnetic_field_t\": 20.0, \"minor_radius_m\": 2, \"wall_reflectivity\": 0.95, \"energy_confinement_time_s\": 100, \"kinetic_enhancement\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"fusion_pb11_thermal\",\"parameters\":{\"ion_temperature_kev\":300,\"electron_density_per_m3\":1.6e+20,\"boron_fraction\":0.15,\"ash_fraction\":0,\"magnetic_field_t\":20.0,\"minor_radius_m\":2,\"wall_reflectivity\":0.95,\"energy_confinement_time_s\":100,\"kinetic_enhancement\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":45,\"result\":{\"electron_temperature_kev\":5.8153646942788114e1,\"electron_temperature_kev_hex\":\"404d13aab3f933e2\",\"reactivity_m3_per_s\":4.374145216151164e-22,\"reactivity_m3_per_s_hex\":\"3b808669e66fdd77\",\"fusion_power_w_per_m3\":7.755923211779869e5,\"fusion_power_w_per_m3_hex\":\"4127ab50a47170ec\",\"bremsstrahlung_power_w_per_m3\":3.5818769917773514e5,\"bremsstrahlung_power_w_per_m3_hex\":\"4115dcaecbf53f8a\",\"bremsstrahlung_power_xie_w_per_m3\":3.765695310749024e5,\"bremsstrahlung_power_xie_w_per_m3_hex\":\"4116fbe61fd21966\",\"synchrotron_power_w_per_m3\":4.665183201476652e6,\"synchrotron_power_w_per_m3_hex\":\"4151cbd7cce4fe54\",\"ion_electron_power_w_per_m3\":4.762493164818903e6,\"ion_electron_power_w_per_m3_hex\":\"41522adf4a8c6496\",\"alpha_energy_fraction_to_electrons\":3.5475081826430044e-1,\"alpha_energy_fraction_to_electrons_hex\":\"3fd6b43cc6ab2988\",\"auxiliary_power_w_per_m3\":4.3198765280064e6,\"auxiliary_power_w_per_m3_hex\":\"41507aa121cadb5b\",\"ignition_margin\":-5.476818766107405e0,\"ignition_margin_hex\":\"c015e8432dba3396\",\"ignition_loss_rate_per_s\":-4.496939234035452e-1,\"ignition_loss_rate_per_s_hex\":\"bfdcc7c9058e9a1a\",\"pressure_pa\":6.29728853101793e6,\"pressure_pa_hex\":\"415805b221fc32a1\",\"beta\":3.956703079470171e-2,\"beta_hex\":\"3fa442213e86b0f2\",\"internal_field_t\":1.9600336417575065e1,\"internal_field_t_hex\":\"403399afa5c0152c\",\"effective_charge\":2.875e0,\"effective_charge_hex\":\"4007000000000000\"},\"invariants\":{\"electron_energy_residual\":-1.8539793159492893e-16,\"electron_energy_residual_hex\":\"bcaab7f9f4d106fc\",\"total_energy_residual\":-3.752465007973539e-16,\"total_energy_residual_hex\":\"bcbb0a137f88b1c7\",\"charge_residual\":0.0e0,\"charge_residual_hex\":\"0000000000000000\"},\"field_sha256\":\"6bbce1ad81757e8baee27dae23f58c26297d78c89b714d19efb361152450ffbc\",\"seal_parts\":{\"inputs\":\"67753b7fb3c310d4645e4bd8cc6f42191b2d1b0a5341450c220f0f6ac9138f04\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"7c5e1c93b7fb3f925101add540859c19b8848bf82b472b55777919913c7b621c\",\"invariants\":\"66e48d59fd911e4c3c69c3ec4cb31bbc002d0ba89b8c21b37b54e9dac546d9c6\",\"field_sha256\":\"69c03ec4e77e6445cd9e41df448a6582840a0ad11ccc08ef05f5780cc5eb652b\",\"outcome\":\"8afc64f68705598951b9e229706b80775c399902a0a82e03cdf3603499e7a3ee\"},\"solution_seal\":\"8a345a83d0f8820824f2ac503c47b2306b52c83afb4555e9c59252274449e69c\",\"receipt_sha256\":\"f776904c4ac608287c0a78df01aec98cee8cac860b7e54d13c6933509631f7d3\"}", "outside_request": "{\"solver\": \"fusion_pb11_thermal\", \"parameters\": {\"ion_temperature_kev\": 300, \"electron_density_per_m3\": 1.6e+20, \"boron_fraction\": 0.15, \"ash_fraction\": 0, \"magnetic_field_t\": 20.000000000000004, \"minor_radius_m\": 2, \"wall_reflectivity\": 0.95, \"energy_confinement_time_s\": 100, \"kinetic_enhancement\": false}}", "outside_answer": "Physical Violation: 'magnetic_field_t' 20.000000000000004 is outside 6.661098700751347 to 20 T (MagneticFieldOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-d18b1330ee3e", "model": "fusion_pb11_thermal", "solver": "fusion_pb11_thermal", "tool": "solve", "specimen": "Energy balance of a uniform thermal proton-boron-11 plasma, ion temperature 200 to 450 keV: the electron temperature at which the electrons balance, fusion, bremsstrahlung, synchrotron and exchange power, and the ignition margin. No constant is fitted. No such plasma has been made: it is checked against published calculations only, it answers only inside the inputs of that comparison, and of its eight gated pass lines seven were met and one was missed.", "base": "example_solve", "input": "parameters.minor_radius_m", "input_unit": "m", "whole_number_input": false, "base_value": 2.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 2.0, "inside_value_hex": "4000000000000000", "outside_value": 1.9999999999999998, "outside_value_hex": "3fffffffffffffff", "width": 2.220446049250313e-16, "adjacent_64_bit_numbers": true, "stop_name": "MinorRadiusOutOfRange", "stop_sentence": "Physical Violation: 'minor_radius_m' 1.9999999999999998 is outside 2 to 2 m (MinorRadiusOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 44, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "eb23f1ab40ba3b611704de6fae0278a5dab60c1f8b636346594842d76c69350e", "outside_proof": null, "inside_receipt": "a7e677e3eabb4afb895cef53f6106faefeba641c5fb1bd8df89f4fd916cacd45", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:44:55Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"fusion_pb11_thermal\", \"parameters\": {\"ion_temperature_kev\": 300, \"electron_density_per_m3\": 1.6e+20, \"boron_fraction\": 0.15, \"ash_fraction\": 0, \"magnetic_field_t\": 6.661098700751347, \"minor_radius_m\": 2.0, \"wall_reflectivity\": 0.95, \"energy_confinement_time_s\": 100, \"kinetic_enhancement\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"fusion_pb11_thermal\",\"parameters\":{\"ion_temperature_kev\":300,\"electron_density_per_m3\":1.6e+20,\"boron_fraction\":0.15,\"ash_fraction\":0,\"magnetic_field_t\":6.661098700751347,\"minor_radius_m\":2.0,\"wall_reflectivity\":0.95,\"energy_confinement_time_s\":100,\"kinetic_enhancement\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":44,\"result\":{\"electron_temperature_kev\":1.1315239895997149e2,\"electron_temperature_kev_hex\":\"405c49c0e7914168\",\"reactivity_m3_per_s\":4.374145216151164e-22,\"reactivity_m3_per_s_hex\":\"3b808669e66fdd77\",\"fusion_power_w_per_m3\":7.755923211779869e5,\"fusion_power_w_per_m3_hex\":\"4127ab50a47170ec\",\"bremsstrahlung_power_w_per_m3\":6.047026500113494e5,\"bremsstrahlung_power_w_per_m3_hex\":\"4122743d4cce499f\",\"bremsstrahlung_power_xie_w_per_m3\":6.192571851772622e5,\"bremsstrahlung_power_xie_w_per_m3_hex\":\"4122e5f25ecf8dda\",\"synchrotron_power_w_per_m3\":9.793755753789659e5,\"synchrotron_power_w_per_m3_hex\":\"412de35f26981263\",\"ion_electron_power_w_per_m3\":1.4561275163435137e6,\"ion_electron_power_w_per_m3_hex\":\"413637ff842f16a9\",\"alpha_energy_fraction_to_electrons\":1.7399192225615986e-1,\"alpha_energy_fraction_to_electrons_hex\":\"3fc6455e07eddf6f\",\"auxiliary_power_w_per_m3\":8.805838527423292e5,\"auxiliary_power_w_per_m3_hex\":\"412adf8fb49aa480\",\"ignition_margin\":-1.042410918901805e0,\"ignition_margin_hex\":\"bff0adb7125ad331\",\"ignition_loss_rate_per_s\":-6.993364160143607e-2,\"ignition_loss_rate_per_s_hex\":\"bfb1e72bcf917f95\",\"pressure_pa\":7.707171977115395e6,\"pressure_pa_hex\":\"415d6688fe890f02\",\"beta\":4.3655922732313357e-1,\"beta_hex\":\"3fdbf0961d07ac40\",\"internal_field_t\":4.999999999999951e0,\"internal_field_t_hex\":\"4013ffffffffffc9\",\"effective_charge\":2.875e0,\"effective_charge_hex\":\"4007000000000000\"},\"invariants\":{\"electron_energy_residual\":1.4698178405709753e-16,\"electron_energy_residual_hex\":\"3ca52eabb384f076\",\"total_energy_residual\":6.754437014352371e-16,\"total_energy_residual_hex\":\"3cc855de592e399a\",\"charge_residual\":0.0e0,\"charge_residual_hex\":\"0000000000000000\"},\"field_sha256\":\"7a39fefbca79ee0959784f4de2c9e3fc10f3b501d68ec9c6f865a3ae4c2a9137\",\"seal_parts\":{\"inputs\":\"19c1061a5adb5eb48c63a06c367ed1a2e8df4b0d4d0248c398bb94809eb1c859\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"eb4207632fcbb9af9fa3c1c9ce9c297bfd10cfd2021a857b854ea16a209a179a\",\"invariants\":\"a45f1bfcd67c685a8daf90ad7b05c106a7a8219a3009696ecc7fa2d5c5e2b30b\",\"field_sha256\":\"f4092321f00ee4d49f7f8c4b9c86cec3b90429523904720b8d895ad48fa87fa8\",\"outcome\":\"63ed91239796b3459a7afb45c3f973bd5c03cd3d09e070de7f6107ef1b88102b\"},\"solution_seal\":\"eb23f1ab40ba3b611704de6fae0278a5dab60c1f8b636346594842d76c69350e\",\"receipt_sha256\":\"a7e677e3eabb4afb895cef53f6106faefeba641c5fb1bd8df89f4fd916cacd45\"}", "outside_request": "{\"solver\": \"fusion_pb11_thermal\", \"parameters\": {\"ion_temperature_kev\": 300, \"electron_density_per_m3\": 1.6e+20, \"boron_fraction\": 0.15, \"ash_fraction\": 0, \"magnetic_field_t\": 6.661098700751347, \"minor_radius_m\": 1.9999999999999998, \"wall_reflectivity\": 0.95, \"energy_confinement_time_s\": 100, \"kinetic_enhancement\": false}}", "outside_answer": "Physical Violation: 'minor_radius_m' 1.9999999999999998 is outside 2 to 2 m (MinorRadiusOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-26a7f9d4ef6b", "model": "fusion_pb11_thermal", "solver": "fusion_pb11_thermal", "tool": "solve", "specimen": "Energy balance of a uniform thermal proton-boron-11 plasma, ion temperature 200 to 450 keV: the electron temperature at which the electrons balance, fusion, bremsstrahlung, synchrotron and exchange power, and the ignition margin. No constant is fitted. No such plasma has been made: it is checked against published calculations only, it answers only inside the inputs of that comparison, and of its eight gated pass lines seven were met and one was missed.", "base": "example_solve", "input": "parameters.minor_radius_m", "input_unit": "m", "whole_number_input": false, "base_value": 2.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 2.0, "inside_value_hex": "4000000000000000", "outside_value": 2.0000000000000004, "outside_value_hex": "4000000000000001", "width": 4.440892098500626e-16, "adjacent_64_bit_numbers": true, "stop_name": "MinorRadiusOutOfRange", "stop_sentence": "Physical Violation: 'minor_radius_m' 2.0000000000000004 is outside 2 to 2 m (MinorRadiusOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 44, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "eb23f1ab40ba3b611704de6fae0278a5dab60c1f8b636346594842d76c69350e", "outside_proof": null, "inside_receipt": "a7e677e3eabb4afb895cef53f6106faefeba641c5fb1bd8df89f4fd916cacd45", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:44:55Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"fusion_pb11_thermal\", \"parameters\": {\"ion_temperature_kev\": 300, \"electron_density_per_m3\": 1.6e+20, \"boron_fraction\": 0.15, \"ash_fraction\": 0, \"magnetic_field_t\": 6.661098700751347, \"minor_radius_m\": 2.0, \"wall_reflectivity\": 0.95, \"energy_confinement_time_s\": 100, \"kinetic_enhancement\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"fusion_pb11_thermal\",\"parameters\":{\"ion_temperature_kev\":300,\"electron_density_per_m3\":1.6e+20,\"boron_fraction\":0.15,\"ash_fraction\":0,\"magnetic_field_t\":6.661098700751347,\"minor_radius_m\":2.0,\"wall_reflectivity\":0.95,\"energy_confinement_time_s\":100,\"kinetic_enhancement\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":44,\"result\":{\"electron_temperature_kev\":1.1315239895997149e2,\"electron_temperature_kev_hex\":\"405c49c0e7914168\",\"reactivity_m3_per_s\":4.374145216151164e-22,\"reactivity_m3_per_s_hex\":\"3b808669e66fdd77\",\"fusion_power_w_per_m3\":7.755923211779869e5,\"fusion_power_w_per_m3_hex\":\"4127ab50a47170ec\",\"bremsstrahlung_power_w_per_m3\":6.047026500113494e5,\"bremsstrahlung_power_w_per_m3_hex\":\"4122743d4cce499f\",\"bremsstrahlung_power_xie_w_per_m3\":6.192571851772622e5,\"bremsstrahlung_power_xie_w_per_m3_hex\":\"4122e5f25ecf8dda\",\"synchrotron_power_w_per_m3\":9.793755753789659e5,\"synchrotron_power_w_per_m3_hex\":\"412de35f26981263\",\"ion_electron_power_w_per_m3\":1.4561275163435137e6,\"ion_electron_power_w_per_m3_hex\":\"413637ff842f16a9\",\"alpha_energy_fraction_to_electrons\":1.7399192225615986e-1,\"alpha_energy_fraction_to_electrons_hex\":\"3fc6455e07eddf6f\",\"auxiliary_power_w_per_m3\":8.805838527423292e5,\"auxiliary_power_w_per_m3_hex\":\"412adf8fb49aa480\",\"ignition_margin\":-1.042410918901805e0,\"ignition_margin_hex\":\"bff0adb7125ad331\",\"ignition_loss_rate_per_s\":-6.993364160143607e-2,\"ignition_loss_rate_per_s_hex\":\"bfb1e72bcf917f95\",\"pressure_pa\":7.707171977115395e6,\"pressure_pa_hex\":\"415d6688fe890f02\",\"beta\":4.3655922732313357e-1,\"beta_hex\":\"3fdbf0961d07ac40\",\"internal_field_t\":4.999999999999951e0,\"internal_field_t_hex\":\"4013ffffffffffc9\",\"effective_charge\":2.875e0,\"effective_charge_hex\":\"4007000000000000\"},\"invariants\":{\"electron_energy_residual\":1.4698178405709753e-16,\"electron_energy_residual_hex\":\"3ca52eabb384f076\",\"total_energy_residual\":6.754437014352371e-16,\"total_energy_residual_hex\":\"3cc855de592e399a\",\"charge_residual\":0.0e0,\"charge_residual_hex\":\"0000000000000000\"},\"field_sha256\":\"7a39fefbca79ee0959784f4de2c9e3fc10f3b501d68ec9c6f865a3ae4c2a9137\",\"seal_parts\":{\"inputs\":\"19c1061a5adb5eb48c63a06c367ed1a2e8df4b0d4d0248c398bb94809eb1c859\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"eb4207632fcbb9af9fa3c1c9ce9c297bfd10cfd2021a857b854ea16a209a179a\",\"invariants\":\"a45f1bfcd67c685a8daf90ad7b05c106a7a8219a3009696ecc7fa2d5c5e2b30b\",\"field_sha256\":\"f4092321f00ee4d49f7f8c4b9c86cec3b90429523904720b8d895ad48fa87fa8\",\"outcome\":\"63ed91239796b3459a7afb45c3f973bd5c03cd3d09e070de7f6107ef1b88102b\"},\"solution_seal\":\"eb23f1ab40ba3b611704de6fae0278a5dab60c1f8b636346594842d76c69350e\",\"receipt_sha256\":\"a7e677e3eabb4afb895cef53f6106faefeba641c5fb1bd8df89f4fd916cacd45\"}", "outside_request": "{\"solver\": \"fusion_pb11_thermal\", \"parameters\": {\"ion_temperature_kev\": 300, \"electron_density_per_m3\": 1.6e+20, \"boron_fraction\": 0.15, \"ash_fraction\": 0, \"magnetic_field_t\": 6.661098700751347, \"minor_radius_m\": 2.0000000000000004, \"wall_reflectivity\": 0.95, \"energy_confinement_time_s\": 100, \"kinetic_enhancement\": false}}", "outside_answer": "Physical Violation: 'minor_radius_m' 2.0000000000000004 is outside 2 to 2 m (MinorRadiusOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-0fc30a2a7aab", "model": "fusion_pb11_thermal", "solver": "fusion_pb11_thermal", "tool": "solve", "specimen": "Energy balance of a uniform thermal proton-boron-11 plasma, ion temperature 200 to 450 keV: the electron temperature at which the electrons balance, fusion, bremsstrahlung, synchrotron and exchange power, and the ignition margin. No constant is fitted. No such plasma has been made: it is checked against published calculations only, it answers only inside the inputs of that comparison, and of its eight gated pass lines seven were met and one was missed.", "base": "example_solve", "input": "parameters.wall_reflectivity", "input_unit": "", "whole_number_input": false, "base_value": 0.95, "edge_kind": "declared_limit", "direction": "down", "inside_value": 0.95, "inside_value_hex": "3fee666666666666", "outside_value": 0.9499999999999998, "outside_value_hex": "3fee666666666665", "width": 1.1102230246251565e-16, "adjacent_64_bit_numbers": true, "stop_name": "WallReflectivityOutOfRange", "stop_sentence": "Physical Violation: 'wall_reflectivity' 0.9499999999999998 is outside 0.95 to 1 (WallReflectivityOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 44, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "eb23f1ab40ba3b611704de6fae0278a5dab60c1f8b636346594842d76c69350e", "outside_proof": null, "inside_receipt": "fac8748595113a7a925e0207febbd8d211fb7a14a9a8e20aa037613f91e11c57", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:44:48Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"fusion_pb11_thermal\", \"parameters\": {\"ion_temperature_kev\": 300, \"electron_density_per_m3\": 1.6e+20, \"boron_fraction\": 0.15, \"ash_fraction\": 0, \"magnetic_field_t\": 6.661098700751347, \"minor_radius_m\": 2, \"wall_reflectivity\": 0.95, \"energy_confinement_time_s\": 100, \"kinetic_enhancement\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"fusion_pb11_thermal\",\"parameters\":{\"ion_temperature_kev\":300,\"electron_density_per_m3\":1.6e+20,\"boron_fraction\":0.15,\"ash_fraction\":0,\"magnetic_field_t\":6.661098700751347,\"minor_radius_m\":2,\"wall_reflectivity\":0.95,\"energy_confinement_time_s\":100,\"kinetic_enhancement\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":44,\"result\":{\"electron_temperature_kev\":1.1315239895997149e2,\"electron_temperature_kev_hex\":\"405c49c0e7914168\",\"reactivity_m3_per_s\":4.374145216151164e-22,\"reactivity_m3_per_s_hex\":\"3b808669e66fdd77\",\"fusion_power_w_per_m3\":7.755923211779869e5,\"fusion_power_w_per_m3_hex\":\"4127ab50a47170ec\",\"bremsstrahlung_power_w_per_m3\":6.047026500113494e5,\"bremsstrahlung_power_w_per_m3_hex\":\"4122743d4cce499f\",\"bremsstrahlung_power_xie_w_per_m3\":6.192571851772622e5,\"bremsstrahlung_power_xie_w_per_m3_hex\":\"4122e5f25ecf8dda\",\"synchrotron_power_w_per_m3\":9.793755753789659e5,\"synchrotron_power_w_per_m3_hex\":\"412de35f26981263\",\"ion_electron_power_w_per_m3\":1.4561275163435137e6,\"ion_electron_power_w_per_m3_hex\":\"413637ff842f16a9\",\"alpha_energy_fraction_to_electrons\":1.7399192225615986e-1,\"alpha_energy_fraction_to_electrons_hex\":\"3fc6455e07eddf6f\",\"auxiliary_power_w_per_m3\":8.805838527423292e5,\"auxiliary_power_w_per_m3_hex\":\"412adf8fb49aa480\",\"ignition_margin\":-1.042410918901805e0,\"ignition_margin_hex\":\"bff0adb7125ad331\",\"ignition_loss_rate_per_s\":-6.993364160143607e-2,\"ignition_loss_rate_per_s_hex\":\"bfb1e72bcf917f95\",\"pressure_pa\":7.707171977115395e6,\"pressure_pa_hex\":\"415d6688fe890f02\",\"beta\":4.3655922732313357e-1,\"beta_hex\":\"3fdbf0961d07ac40\",\"internal_field_t\":4.999999999999951e0,\"internal_field_t_hex\":\"4013ffffffffffc9\",\"effective_charge\":2.875e0,\"effective_charge_hex\":\"4007000000000000\"},\"invariants\":{\"electron_energy_residual\":1.4698178405709753e-16,\"electron_energy_residual_hex\":\"3ca52eabb384f076\",\"total_energy_residual\":6.754437014352371e-16,\"total_energy_residual_hex\":\"3cc855de592e399a\",\"charge_residual\":0.0e0,\"charge_residual_hex\":\"0000000000000000\"},\"field_sha256\":\"7a39fefbca79ee0959784f4de2c9e3fc10f3b501d68ec9c6f865a3ae4c2a9137\",\"seal_parts\":{\"inputs\":\"19c1061a5adb5eb48c63a06c367ed1a2e8df4b0d4d0248c398bb94809eb1c859\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"eb4207632fcbb9af9fa3c1c9ce9c297bfd10cfd2021a857b854ea16a209a179a\",\"invariants\":\"a45f1bfcd67c685a8daf90ad7b05c106a7a8219a3009696ecc7fa2d5c5e2b30b\",\"field_sha256\":\"f4092321f00ee4d49f7f8c4b9c86cec3b90429523904720b8d895ad48fa87fa8\",\"outcome\":\"63ed91239796b3459a7afb45c3f973bd5c03cd3d09e070de7f6107ef1b88102b\"},\"solution_seal\":\"eb23f1ab40ba3b611704de6fae0278a5dab60c1f8b636346594842d76c69350e\",\"receipt_sha256\":\"fac8748595113a7a925e0207febbd8d211fb7a14a9a8e20aa037613f91e11c57\"}", "outside_request": "{\"solver\": \"fusion_pb11_thermal\", \"parameters\": {\"ion_temperature_kev\": 300, \"electron_density_per_m3\": 1.6e+20, \"boron_fraction\": 0.15, \"ash_fraction\": 0, \"magnetic_field_t\": 6.661098700751347, \"minor_radius_m\": 2, \"wall_reflectivity\": 0.9499999999999998, \"energy_confinement_time_s\": 100, \"kinetic_enhancement\": false}}", "outside_answer": "Physical Violation: 'wall_reflectivity' 0.9499999999999998 is outside 0.95 to 1 (WallReflectivityOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-981dd260f5c3", "model": "fusion_pb11_thermal", "solver": "fusion_pb11_thermal", "tool": "solve", "specimen": "Energy balance of a uniform thermal proton-boron-11 plasma, ion temperature 200 to 450 keV: the electron temperature at which the electrons balance, fusion, bremsstrahlung, synchrotron and exchange power, and the ignition margin. No constant is fitted. No such plasma has been made: it is checked against published calculations only, it answers only inside the inputs of that comparison, and of its eight gated pass lines seven were met and one was missed.", "base": "example_solve", "input": "parameters.wall_reflectivity", "input_unit": "", "whole_number_input": false, "base_value": 0.95, "edge_kind": "declared_limit", "direction": "up", "inside_value": 1.0, "inside_value_hex": "3ff0000000000000", "outside_value": 1.0000000000000002, "outside_value_hex": "3ff0000000000001", "width": 2.220446049250313e-16, "adjacent_64_bit_numbers": true, "stop_name": "WallReflectivityOutOfRange", "stop_sentence": "Physical Violation: 'wall_reflectivity' 1.0000000000000002 is outside 0.95 to 1 (WallReflectivityOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 43, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "8cc089bd9d77727a0cbef02e4a58621795c83bce76c06cfbc848e609400310b6", "outside_proof": null, "inside_receipt": "e19e9336c9a946d8a01b4b50fae2af3ef0a241d9c4d61ef7940c7feeee5a1610", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:44:59Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"fusion_pb11_thermal\", \"parameters\": {\"ion_temperature_kev\": 300, \"electron_density_per_m3\": 1.6e+20, \"boron_fraction\": 0.15, \"ash_fraction\": 0, \"magnetic_field_t\": 6.661098700751347, \"minor_radius_m\": 2, \"wall_reflectivity\": 1.0, \"energy_confinement_time_s\": 100, \"kinetic_enhancement\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"fusion_pb11_thermal\",\"parameters\":{\"ion_temperature_kev\":300,\"electron_density_per_m3\":1.6e+20,\"boron_fraction\":0.15,\"ash_fraction\":0,\"magnetic_field_t\":6.661098700751347,\"minor_radius_m\":2,\"wall_reflectivity\":1.0,\"energy_confinement_time_s\":100,\"kinetic_enhancement\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":43,\"result\":{\"electron_temperature_kev\":1.5546739343303886e2,\"electron_temperature_kev_hex\":\"40636ef4e312a88c\",\"reactivity_m3_per_s\":4.374145216151164e-22,\"reactivity_m3_per_s_hex\":\"3b808669e66fdd77\",\"fusion_power_w_per_m3\":7.755923211779869e5,\"fusion_power_w_per_m3_hex\":\"4127ab50a47170ec\",\"bremsstrahlung_power_w_per_m3\":8.19278720477331e5,\"bremsstrahlung_power_w_per_m3_hex\":\"4129009d70e2679c\",\"bremsstrahlung_power_xie_w_per_m3\":8.328043425069192e5,\"bremsstrahlung_power_xie_w_per_m3_hex\":\"41296a48af5d1121\",\"synchrotron_power_w_per_m3\":0.0e0,\"synchrotron_power_w_per_m3_hex\":\"0000000000000000\",\"ion_electron_power_w_per_m3\":7.33440434391719e5,\"ion_electron_power_w_per_m3_hex\":\"41266200de689766\",\"alpha_energy_fraction_to_electrons\":1.1672595259903391e-1,\"alpha_energy_fraction_to_electrons_hex\":\"3fbde1c08501de35\",\"auxiliary_power_w_per_m3\":1.1578434782934358e5,\"auxiliary_power_w_per_m3_hex\":\"40fc448590b58074\",\"ignition_margin\":-5.632649796350705e-2,\"ignition_margin_hex\":\"bfacd6d3a54d8deb\",\"ignition_loss_rate_per_s\":-3.312621244253031e-3,\"ignition_loss_rate_per_s_hex\":\"bf6b2311fd0f2b14\",\"pressure_pa\":8.791909503716798e6,\"pressure_pa_hex\":\"4160c4ecb01e72b1\",\"beta\":4.9800228034798055e-1,\"beta_hex\":\"3fdfdf44f4db645a\",\"internal_field_t\":4.719508156873988e0,\"internal_field_t_hex\":\"4012e0c6bf0bea83\",\"effective_charge\":2.875e0,\"effective_charge_hex\":\"4007000000000000\"},\"invariants\":{\"electron_energy_residual\":-1.4209489263813483e-16,\"electron_energy_residual_hex\":\"bca47a6051175a2e\",\"total_energy_residual\":-5.253451011162955e-16,\"total_energy_residual_hex\":\"bcc2ed740c79493f\",\"charge_residual\":0.0e0,\"charge_residual_hex\":\"0000000000000000\"},\"field_sha256\":\"cd4706329fc6f4cbc6ffeb36679ee5a62c9bd55a483738d40995a42cdb0736b0\",\"seal_parts\":{\"inputs\":\"0b1751b740b6245f767ac6ac65e118c06f570d22df5630d62ebebeccae72e674\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"0bc02953ef10acee682939072d7c80cd3a6711a9c0af2b70873f3c31dfeba3d2\",\"invariants\":\"801fd7f91284c16dbb7c3734cf47a2b550fdd35e1f371027624afd84ea8058ae\",\"field_sha256\":\"1c8e009ae976e2c598597b123b8fcdcc05c779bf5db7578e9c1815be69d253e2\",\"outcome\":\"d72d86a7e17064ae221bad45c33a7473c121c7e21685a61f836964899613f72c\"},\"solution_seal\":\"8cc089bd9d77727a0cbef02e4a58621795c83bce76c06cfbc848e609400310b6\",\"receipt_sha256\":\"e19e9336c9a946d8a01b4b50fae2af3ef0a241d9c4d61ef7940c7feeee5a1610\"}", "outside_request": "{\"solver\": \"fusion_pb11_thermal\", \"parameters\": {\"ion_temperature_kev\": 300, \"electron_density_per_m3\": 1.6e+20, \"boron_fraction\": 0.15, \"ash_fraction\": 0, \"magnetic_field_t\": 6.661098700751347, \"minor_radius_m\": 2, \"wall_reflectivity\": 1.0000000000000002, \"energy_confinement_time_s\": 100, \"kinetic_enhancement\": false}}", "outside_answer": "Physical Violation: 'wall_reflectivity' 1.0000000000000002 is outside 0.95 to 1 (WallReflectivityOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-70c02f32fbc7", "model": "fusion_pb11_thermal", "solver": "fusion_pb11_thermal", "tool": "solve", "specimen": "Energy balance of a uniform thermal proton-boron-11 plasma, ion temperature 200 to 450 keV: the electron temperature at which the electrons balance, fusion, bremsstrahlung, synchrotron and exchange power, and the ignition margin. No constant is fitted. No such plasma has been made: it is checked against published calculations only, it answers only inside the inputs of that comparison, and of its eight gated pass lines seven were met and one was missed.", "base": "example_solve", "input": "parameters.energy_confinement_time_s", "input_unit": "s", "whole_number_input": false, "base_value": 100.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 100.0, "inside_value_hex": "4059000000000000", "outside_value": 99.99999999999999, "outside_value_hex": "4058ffffffffffff", "width": 1.4210854715202004e-14, "adjacent_64_bit_numbers": true, "stop_name": "ConfinementTimeOutOfRange", "stop_sentence": "Physical Violation: 'energy_confinement_time_s' 99.99999999999999 is outside 100 to 100 s (ConfinementTimeOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 44, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "eb23f1ab40ba3b611704de6fae0278a5dab60c1f8b636346594842d76c69350e", "outside_proof": null, "inside_receipt": "88ebbe8f186fbab70060943fc1f6d52321ed6ace030a9b767697a204f6e163ce", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:45:01Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"fusion_pb11_thermal\", \"parameters\": {\"ion_temperature_kev\": 300, \"electron_density_per_m3\": 1.6e+20, \"boron_fraction\": 0.15, \"ash_fraction\": 0, \"magnetic_field_t\": 6.661098700751347, \"minor_radius_m\": 2, \"wall_reflectivity\": 0.95, \"energy_confinement_time_s\": 100.0, \"kinetic_enhancement\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"fusion_pb11_thermal\",\"parameters\":{\"ion_temperature_kev\":300,\"electron_density_per_m3\":1.6e+20,\"boron_fraction\":0.15,\"ash_fraction\":0,\"magnetic_field_t\":6.661098700751347,\"minor_radius_m\":2,\"wall_reflectivity\":0.95,\"energy_confinement_time_s\":100.0,\"kinetic_enhancement\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":44,\"result\":{\"electron_temperature_kev\":1.1315239895997149e2,\"electron_temperature_kev_hex\":\"405c49c0e7914168\",\"reactivity_m3_per_s\":4.374145216151164e-22,\"reactivity_m3_per_s_hex\":\"3b808669e66fdd77\",\"fusion_power_w_per_m3\":7.755923211779869e5,\"fusion_power_w_per_m3_hex\":\"4127ab50a47170ec\",\"bremsstrahlung_power_w_per_m3\":6.047026500113494e5,\"bremsstrahlung_power_w_per_m3_hex\":\"4122743d4cce499f\",\"bremsstrahlung_power_xie_w_per_m3\":6.192571851772622e5,\"bremsstrahlung_power_xie_w_per_m3_hex\":\"4122e5f25ecf8dda\",\"synchrotron_power_w_per_m3\":9.793755753789659e5,\"synchrotron_power_w_per_m3_hex\":\"412de35f26981263\",\"ion_electron_power_w_per_m3\":1.4561275163435137e6,\"ion_electron_power_w_per_m3_hex\":\"413637ff842f16a9\",\"alpha_energy_fraction_to_electrons\":1.7399192225615986e-1,\"alpha_energy_fraction_to_electrons_hex\":\"3fc6455e07eddf6f\",\"auxiliary_power_w_per_m3\":8.805838527423292e5,\"auxiliary_power_w_per_m3_hex\":\"412adf8fb49aa480\",\"ignition_margin\":-1.042410918901805e0,\"ignition_margin_hex\":\"bff0adb7125ad331\",\"ignition_loss_rate_per_s\":-6.993364160143607e-2,\"ignition_loss_rate_per_s_hex\":\"bfb1e72bcf917f95\",\"pressure_pa\":7.707171977115395e6,\"pressure_pa_hex\":\"415d6688fe890f02\",\"beta\":4.3655922732313357e-1,\"beta_hex\":\"3fdbf0961d07ac40\",\"internal_field_t\":4.999999999999951e0,\"internal_field_t_hex\":\"4013ffffffffffc9\",\"effective_charge\":2.875e0,\"effective_charge_hex\":\"4007000000000000\"},\"invariants\":{\"electron_energy_residual\":1.4698178405709753e-16,\"electron_energy_residual_hex\":\"3ca52eabb384f076\",\"total_energy_residual\":6.754437014352371e-16,\"total_energy_residual_hex\":\"3cc855de592e399a\",\"charge_residual\":0.0e0,\"charge_residual_hex\":\"0000000000000000\"},\"field_sha256\":\"7a39fefbca79ee0959784f4de2c9e3fc10f3b501d68ec9c6f865a3ae4c2a9137\",\"seal_parts\":{\"inputs\":\"19c1061a5adb5eb48c63a06c367ed1a2e8df4b0d4d0248c398bb94809eb1c859\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"eb4207632fcbb9af9fa3c1c9ce9c297bfd10cfd2021a857b854ea16a209a179a\",\"invariants\":\"a45f1bfcd67c685a8daf90ad7b05c106a7a8219a3009696ecc7fa2d5c5e2b30b\",\"field_sha256\":\"f4092321f00ee4d49f7f8c4b9c86cec3b90429523904720b8d895ad48fa87fa8\",\"outcome\":\"63ed91239796b3459a7afb45c3f973bd5c03cd3d09e070de7f6107ef1b88102b\"},\"solution_seal\":\"eb23f1ab40ba3b611704de6fae0278a5dab60c1f8b636346594842d76c69350e\",\"receipt_sha256\":\"88ebbe8f186fbab70060943fc1f6d52321ed6ace030a9b767697a204f6e163ce\"}", "outside_request": "{\"solver\": \"fusion_pb11_thermal\", \"parameters\": {\"ion_temperature_kev\": 300, \"electron_density_per_m3\": 1.6e+20, \"boron_fraction\": 0.15, \"ash_fraction\": 0, \"magnetic_field_t\": 6.661098700751347, \"minor_radius_m\": 2, \"wall_reflectivity\": 0.95, \"energy_confinement_time_s\": 99.99999999999999, \"kinetic_enhancement\": false}}", "outside_answer": "Physical Violation: 'energy_confinement_time_s' 99.99999999999999 is outside 100 to 100 s (ConfinementTimeOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-7edfe5796141", "model": "fusion_pb11_thermal", "solver": "fusion_pb11_thermal", "tool": "solve", "specimen": "Energy balance of a uniform thermal proton-boron-11 plasma, ion temperature 200 to 450 keV: the electron temperature at which the electrons balance, fusion, bremsstrahlung, synchrotron and exchange power, and the ignition margin. No constant is fitted. No such plasma has been made: it is checked against published calculations only, it answers only inside the inputs of that comparison, and of its eight gated pass lines seven were met and one was missed.", "base": "example_solve", "input": "parameters.energy_confinement_time_s", "input_unit": "s", "whole_number_input": false, "base_value": 100.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 100.0, "inside_value_hex": "4059000000000000", "outside_value": 100.00000000000001, "outside_value_hex": "4059000000000001", "width": 1.4210854715202004e-14, "adjacent_64_bit_numbers": true, "stop_name": "ConfinementTimeOutOfRange", "stop_sentence": "Physical Violation: 'energy_confinement_time_s' 100.00000000000001 is outside 100 to 100 s (ConfinementTimeOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 44, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "eb23f1ab40ba3b611704de6fae0278a5dab60c1f8b636346594842d76c69350e", "outside_proof": null, "inside_receipt": "88ebbe8f186fbab70060943fc1f6d52321ed6ace030a9b767697a204f6e163ce", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:45:01Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"fusion_pb11_thermal\", \"parameters\": {\"ion_temperature_kev\": 300, \"electron_density_per_m3\": 1.6e+20, \"boron_fraction\": 0.15, \"ash_fraction\": 0, \"magnetic_field_t\": 6.661098700751347, \"minor_radius_m\": 2, \"wall_reflectivity\": 0.95, \"energy_confinement_time_s\": 100.0, \"kinetic_enhancement\": false}}", "inside_answer": "{\"inputs\":{\"solver\":\"fusion_pb11_thermal\",\"parameters\":{\"ion_temperature_kev\":300,\"electron_density_per_m3\":1.6e+20,\"boron_fraction\":0.15,\"ash_fraction\":0,\"magnetic_field_t\":6.661098700751347,\"minor_radius_m\":2,\"wall_reflectivity\":0.95,\"energy_confinement_time_s\":100.0,\"kinetic_enhancement\":false}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":44,\"result\":{\"electron_temperature_kev\":1.1315239895997149e2,\"electron_temperature_kev_hex\":\"405c49c0e7914168\",\"reactivity_m3_per_s\":4.374145216151164e-22,\"reactivity_m3_per_s_hex\":\"3b808669e66fdd77\",\"fusion_power_w_per_m3\":7.755923211779869e5,\"fusion_power_w_per_m3_hex\":\"4127ab50a47170ec\",\"bremsstrahlung_power_w_per_m3\":6.047026500113494e5,\"bremsstrahlung_power_w_per_m3_hex\":\"4122743d4cce499f\",\"bremsstrahlung_power_xie_w_per_m3\":6.192571851772622e5,\"bremsstrahlung_power_xie_w_per_m3_hex\":\"4122e5f25ecf8dda\",\"synchrotron_power_w_per_m3\":9.793755753789659e5,\"synchrotron_power_w_per_m3_hex\":\"412de35f26981263\",\"ion_electron_power_w_per_m3\":1.4561275163435137e6,\"ion_electron_power_w_per_m3_hex\":\"413637ff842f16a9\",\"alpha_energy_fraction_to_electrons\":1.7399192225615986e-1,\"alpha_energy_fraction_to_electrons_hex\":\"3fc6455e07eddf6f\",\"auxiliary_power_w_per_m3\":8.805838527423292e5,\"auxiliary_power_w_per_m3_hex\":\"412adf8fb49aa480\",\"ignition_margin\":-1.042410918901805e0,\"ignition_margin_hex\":\"bff0adb7125ad331\",\"ignition_loss_rate_per_s\":-6.993364160143607e-2,\"ignition_loss_rate_per_s_hex\":\"bfb1e72bcf917f95\",\"pressure_pa\":7.707171977115395e6,\"pressure_pa_hex\":\"415d6688fe890f02\",\"beta\":4.3655922732313357e-1,\"beta_hex\":\"3fdbf0961d07ac40\",\"internal_field_t\":4.999999999999951e0,\"internal_field_t_hex\":\"4013ffffffffffc9\",\"effective_charge\":2.875e0,\"effective_charge_hex\":\"4007000000000000\"},\"invariants\":{\"electron_energy_residual\":1.4698178405709753e-16,\"electron_energy_residual_hex\":\"3ca52eabb384f076\",\"total_energy_residual\":6.754437014352371e-16,\"total_energy_residual_hex\":\"3cc855de592e399a\",\"charge_residual\":0.0e0,\"charge_residual_hex\":\"0000000000000000\"},\"field_sha256\":\"7a39fefbca79ee0959784f4de2c9e3fc10f3b501d68ec9c6f865a3ae4c2a9137\",\"seal_parts\":{\"inputs\":\"19c1061a5adb5eb48c63a06c367ed1a2e8df4b0d4d0248c398bb94809eb1c859\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"eb4207632fcbb9af9fa3c1c9ce9c297bfd10cfd2021a857b854ea16a209a179a\",\"invariants\":\"a45f1bfcd67c685a8daf90ad7b05c106a7a8219a3009696ecc7fa2d5c5e2b30b\",\"field_sha256\":\"f4092321f00ee4d49f7f8c4b9c86cec3b90429523904720b8d895ad48fa87fa8\",\"outcome\":\"63ed91239796b3459a7afb45c3f973bd5c03cd3d09e070de7f6107ef1b88102b\"},\"solution_seal\":\"eb23f1ab40ba3b611704de6fae0278a5dab60c1f8b636346594842d76c69350e\",\"receipt_sha256\":\"88ebbe8f186fbab70060943fc1f6d52321ed6ace030a9b767697a204f6e163ce\"}", "outside_request": "{\"solver\": \"fusion_pb11_thermal\", \"parameters\": {\"ion_temperature_kev\": 300, \"electron_density_per_m3\": 1.6e+20, \"boron_fraction\": 0.15, \"ash_fraction\": 0, \"magnetic_field_t\": 6.661098700751347, \"minor_radius_m\": 2, \"wall_reflectivity\": 0.95, \"energy_confinement_time_s\": 100.00000000000001, \"kinetic_enhancement\": false}}", "outside_answer": "Physical Violation: 'energy_confinement_time_s' 100.00000000000001 is outside 100 to 100 s (ConfinementTimeOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-bef9f08321d4", "model": "journal_bearing_sheffield", "solver": "journal_bearing_sheffield", "tool": "solve", "specimen": "Oil film of the University of Sheffield journal bearing test platform at 65 °C, load 2 to 20 kN, speed 100 to 800 rpm: Sommerfeld number, eccentricity ratio and minimum film thickness. One constant, a viscosity multiplier, is fitted to measurements of this bearing.", "base": "example_solve", "input": "parameters.load_n", "input_unit": "N", "whole_number_input": false, "base_value": 10000.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 2000.0, "inside_value_hex": "409f400000000000", "outside_value": 1999.9999999999998, "outside_value_hex": "409f3fffffffffff", "width": 2.2737367544323206e-13, "adjacent_64_bit_numbers": true, "stop_name": "LoadOutOfRange", "stop_sentence": "Physical Violation: 'load_n' 1999.9999999999998 is outside 2000 to 20000 N (LoadOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 9, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "1d1a2e7110b69ca084f1a4a4a9d893e1e52638fd3a0da3658e1d1eb19579c9e5", "outside_proof": null, "inside_receipt": "351b22ac141898207eb7a5389b0aa59a6f2a131be4e895cc45008b12bf1b2e7e", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:45:04Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"journal_bearing_sheffield\", \"parameters\": {\"load_n\": 2000.0, \"speed_rpm\": 400}}", "inside_answer": "{\"inputs\":{\"solver\":\"journal_bearing_sheffield\",\"parameters\":{\"load_n\":2000.0,\"speed_rpm\":400}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":9,\"result\":{\"sommerfeld_number\":6.524149241936908e-1,\"sommerfeld_number_hex\":\"3fe4e095435ab1f1\",\"eccentricity_ratio\":4.846601441287042e-1,\"eccentricity_ratio_hex\":\"3fdf04abfb2d468c\",\"minimum_film_thickness_m\":2.3190293514208313e-5,\"minimum_film_thickness_m_hex\":\"3ef85118d5ed3374\"},\"invariants\":{\"flow_balance_residual\":3.861449893949357e-14,\"flow_balance_residual_hex\":\"3d25bcef8f16def9\",\"load_residual_n\":7.0140231400728226e-9,\"load_residual_n_hex\":\"3e3e200000000000\"},\"field_sha256\":\"3f3fe54a0aa0a30f02c8642b58109a102f7f241ce42167bb581fda532251779c\",\"seal_parts\":{\"inputs\":\"c64054fba87829bec7e6d66474811743b1756b45cde6f71b1a07fd8dc941789a\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"b7ba9efea098b3f4238d739199e75917158588f838a7d8d5b55862872a693b9b\",\"invariants\":\"03fa716900a434ae4811c760136a795df577f6c6f883d28d99a0597f010f01a5\",\"field_sha256\":\"daeda4e0785166e3f402a2b39f4a43a7a5ce92e5b06d6b0b84d07fb31564cdd7\",\"outcome\":\"7c7ab8fe0bc1cce67a8bb3eea3b8ff6418a17990a697106325c4b055e9fbd9d3\"},\"solution_seal\":\"1d1a2e7110b69ca084f1a4a4a9d893e1e52638fd3a0da3658e1d1eb19579c9e5\",\"receipt_sha256\":\"351b22ac141898207eb7a5389b0aa59a6f2a131be4e895cc45008b12bf1b2e7e\"}", "outside_request": "{\"solver\": \"journal_bearing_sheffield\", \"parameters\": {\"load_n\": 1999.9999999999998, \"speed_rpm\": 400}}", "outside_answer": "Physical Violation: 'load_n' 1999.9999999999998 is outside 2000 to 20000 N (LoadOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-c42a67e32d2a", "model": "journal_bearing_sheffield", "solver": "journal_bearing_sheffield", "tool": "solve", "specimen": "Oil film of the University of Sheffield journal bearing test platform at 65 °C, load 2 to 20 kN, speed 100 to 800 rpm: Sommerfeld number, eccentricity ratio and minimum film thickness. One constant, a viscosity multiplier, is fitted to measurements of this bearing.", "base": "example_solve", "input": "parameters.load_n", "input_unit": "N", "whole_number_input": false, "base_value": 10000.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 20000.0, "inside_value_hex": "40d3880000000000", "outside_value": 20000.000000000004, "outside_value_hex": "40d3880000000001", "width": 3.637978807091713e-12, "adjacent_64_bit_numbers": true, "stop_name": "LoadOutOfRange", "stop_sentence": "Physical Violation: 'load_n' 20000.000000000004 is outside 2000 to 20000 N (LoadOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 10, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "31c6669a66927c718a8dbaf0c3b88f038301b70073c04a1faea14c7301c57073", "outside_proof": null, "inside_receipt": "ee2853dce69a67081c7ed68bf8ac2b02abb3bbc309b9aac30252aa597c0bd112", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:45:06Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"journal_bearing_sheffield\", \"parameters\": {\"load_n\": 20000.0, \"speed_rpm\": 400}}", "inside_answer": "{\"inputs\":{\"solver\":\"journal_bearing_sheffield\",\"parameters\":{\"load_n\":20000.0,\"speed_rpm\":400}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":10,\"result\":{\"sommerfeld_number\":6.524149241936908e-2,\"sommerfeld_number_hex\":\"3fb0b3aa9c488e5a\",\"eccentricity_ratio\":8.501167282788182e-1,\"eccentricity_ratio_hex\":\"3feb3427ff37ae6e\",\"minimum_film_thickness_m\":6.74474722745318e-6,\"minimum_film_thickness_m_hex\":\"3edc4a1e003110b8\"},\"invariants\":{\"flow_balance_residual\":3.523687775492402e-14,\"flow_balance_residual_hex\":\"3d23d62b54f11064\",\"load_residual_n\":-5.81676431465894e-8,\"load_residual_n_hex\":\"be6f3a8000000000\"},\"field_sha256\":\"9174918820fcb46249ed801182e4500b323d7d1eb2431fbceb051c7159030b01\",\"seal_parts\":{\"inputs\":\"9140654042778d434aee3ebaaa9f316586f8a20776b63e356d9c80219e52c553\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"6c3be075918aecd14b34a5c30f42fb693b97a5efb9e3df25f1a07f1dfe5a6240\",\"invariants\":\"6e1173cb2846f4e14888c0c0499f99d681147722294c741cd68498c38e7630d3\",\"field_sha256\":\"005abb7c313142d65e8dafeae818ef58699ab891039f9a50d6c77b1a9f99883f\",\"outcome\":\"200c45bb69ce49ed3a29c13cb517729908d2390aa5a611d51a7eaa8eba73f9f5\"},\"solution_seal\":\"31c6669a66927c718a8dbaf0c3b88f038301b70073c04a1faea14c7301c57073\",\"receipt_sha256\":\"ee2853dce69a67081c7ed68bf8ac2b02abb3bbc309b9aac30252aa597c0bd112\"}", "outside_request": "{\"solver\": \"journal_bearing_sheffield\", \"parameters\": {\"load_n\": 20000.000000000004, \"speed_rpm\": 400}}", "outside_answer": "Physical Violation: 'load_n' 20000.000000000004 is outside 2000 to 20000 N (LoadOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-7557e7dc7269", "model": "journal_bearing_sheffield", "solver": "journal_bearing_sheffield", "tool": "solve", "specimen": "Oil film of the University of Sheffield journal bearing test platform at 65 °C, load 2 to 20 kN, speed 100 to 800 rpm: Sommerfeld number, eccentricity ratio and minimum film thickness. One constant, a viscosity multiplier, is fitted to measurements of this bearing.", "base": "example_solve", "input": "parameters.speed_rpm", "input_unit": "rpm", "whole_number_input": false, "base_value": 400.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 100.0, "inside_value_hex": "4059000000000000", "outside_value": 99.99999999999999, "outside_value_hex": "4058ffffffffffff", "width": 1.4210854715202004e-14, "adjacent_64_bit_numbers": true, "stop_name": "SpeedOutOfRange", "stop_sentence": "Physical Violation: 'speed_rpm' 99.99999999999999 is outside 100 to 800 rpm (SpeedOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 10, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "feae970d04368b6c10416a110d6fe0fb9104f957cbfa20769f97444c389a7644", "outside_proof": null, "inside_receipt": "4002ad19929edf0c36bf7ad8b6e40713081faa0d0248e66acd4a6a09ceab01ee", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:45:08Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"journal_bearing_sheffield\", \"parameters\": {\"load_n\": 10000, \"speed_rpm\": 100.0}}", "inside_answer": "{\"inputs\":{\"solver\":\"journal_bearing_sheffield\",\"parameters\":{\"load_n\":10000,\"speed_rpm\":100.0}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":10,\"result\":{\"sommerfeld_number\":3.262074620968454e-2,\"sommerfeld_number_hex\":\"3fa0b3aa9c488e5a\",\"eccentricity_ratio\":9.039826172851599e-1,\"eccentricity_ratio_hex\":\"3feced6cf42c8d48\",\"minimum_film_thickness_m\":4.320782222167803e-6,\"minimum_film_thickness_m_hex\":\"3ed21f6792d6d0e0\"},\"invariants\":{\"flow_balance_residual\":3.527806703726591e-14,\"flow_balance_residual_hex\":\"3d23dc1af2b6e49f\",\"load_residual_n\":-2.8638169169425964e-8,\"load_residual_n_hex\":\"be5ec00000000000\"},\"field_sha256\":\"3406b086b939406a4a76c400ca2f06987595306ef598d2ac00d609ee34cc588e\",\"seal_parts\":{\"inputs\":\"c4a3569f4d66fb8a1d1fdc3aa1824af45477724152593a03cc52f8ef5329e6ed\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"f86ca46dc3e0fcfd1cf14d68ffe528a02c531e02bce526503fbce3ebc5adf9a2\",\"invariants\":\"d5412ce74c3cc4d493ce9188fc41c242a30cbde046447c1e7da103d3cb27e09a\",\"field_sha256\":\"ab6bff24cc0978c881b1906e2c330a87e6a7f1788a96d01954a6e8a1f3ca769b\",\"outcome\":\"200c45bb69ce49ed3a29c13cb517729908d2390aa5a611d51a7eaa8eba73f9f5\"},\"solution_seal\":\"feae970d04368b6c10416a110d6fe0fb9104f957cbfa20769f97444c389a7644\",\"receipt_sha256\":\"4002ad19929edf0c36bf7ad8b6e40713081faa0d0248e66acd4a6a09ceab01ee\"}", "outside_request": "{\"solver\": \"journal_bearing_sheffield\", \"parameters\": {\"load_n\": 10000, \"speed_rpm\": 99.99999999999999}}", "outside_answer": "Physical Violation: 'speed_rpm' 99.99999999999999 is outside 100 to 800 rpm (SpeedOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-2352f1cf05ef", "model": "journal_bearing_sheffield", "solver": "journal_bearing_sheffield", "tool": "solve", "specimen": "Oil film of the University of Sheffield journal bearing test platform at 65 °C, load 2 to 20 kN, speed 100 to 800 rpm: Sommerfeld number, eccentricity ratio and minimum film thickness. One constant, a viscosity multiplier, is fitted to measurements of this bearing.", "base": "example_solve", "input": "parameters.speed_rpm", "input_unit": "rpm", "whole_number_input": false, "base_value": 400.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 800.0, "inside_value_hex": "4089000000000000", "outside_value": 800.0000000000001, "outside_value_hex": "4089000000000001", "width": 1.1368683772161603e-13, "adjacent_64_bit_numbers": true, "stop_name": "SpeedOutOfRange", "stop_sentence": "Physical Violation: 'speed_rpm' 800.0000000000001 is outside 100 to 800 rpm (SpeedOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 9, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "4ad20d16ed8f083ea0b2b32984a3d7dbdf08562b59e006fee2f3030f8e5bb7a5", "outside_proof": null, "inside_receipt": "ea7e976f1471501aaa116380a704b38936960fd9b06d8be5b2206b1db81f1c5f", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:45:10Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"journal_bearing_sheffield\", \"parameters\": {\"load_n\": 10000, \"speed_rpm\": 800.0}}", "inside_answer": "{\"inputs\":{\"solver\":\"journal_bearing_sheffield\",\"parameters\":{\"load_n\":10000,\"speed_rpm\":800.0}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":9,\"result\":{\"sommerfeld_number\":2.609659696774763e-1,\"sommerfeld_number_hex\":\"3fd0b3aa9c488e5a\",\"eccentricity_ratio\":6.688416586074094e-1,\"eccentricity_ratio_hex\":\"3fe567269f3d7aa3\",\"minimum_film_thickness_m\":1.4902125362666578e-5,\"minimum_film_thickness_m_hex\":\"3eef408483acaad0\"},\"invariants\":{\"flow_balance_residual\":3.715811219551492e-14,\"flow_balance_residual_hex\":\"3d24eb0c5f329727\",\"load_residual_n\":3.2887328416109085e-8,\"load_residual_n_hex\":\"3e61a80000000000\"},\"field_sha256\":\"4c4607ea4ea886ba6d693c8f81783063d333860ea929f22cd1c98ef3051785ce\",\"seal_parts\":{\"inputs\":\"33d2e91017086bf2bca925b0f05c338b27ee48b6c271d2a76c72e5578a50a674\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e8d24473204b1d91c3d265b74cf2daacf5e0b812d254e25be2ba9b2ad0f8ac84\",\"invariants\":\"b5414f4de9718f69d8a8a2fdb5f12f3d81f6c62f952cc115941f100e7aa71dbe\",\"field_sha256\":\"c9f4a0e392f628e0c64ac9ceff1aefe698551832faa48ddca5ec7f7cf88f451f\",\"outcome\":\"7c7ab8fe0bc1cce67a8bb3eea3b8ff6418a17990a697106325c4b055e9fbd9d3\"},\"solution_seal\":\"4ad20d16ed8f083ea0b2b32984a3d7dbdf08562b59e006fee2f3030f8e5bb7a5\",\"receipt_sha256\":\"ea7e976f1471501aaa116380a704b38936960fd9b06d8be5b2206b1db81f1c5f\"}", "outside_request": "{\"solver\": \"journal_bearing_sheffield\", \"parameters\": {\"load_n\": 10000, \"speed_rpm\": 800.0000000000001}}", "outside_answer": "Physical Violation: 'speed_rpm' 800.0000000000001 is outside 100 to 800 rpm (SpeedOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-fd1fca5a4681", "model": "modulus_bam_s355", "solver": "modulus_bam_s355", "tool": "solve", "specimen": "Young's modulus and shear modulus of one of four test bars, each about 100 mm long, cut from one sheet of S355J2+N steel at BAM Berlin, worked back from the bar's measured resonant frequencies, with the edgewise frequency they predict: a property of those bars, not the strength or the load of a steel structure; the comparison with the independent tensile measurement missed its line, and no independent measurement confirms the returned moduli.", "base": "example_solve", "input": "parameters.frequencies_hz[0]", "input_unit": "Hz", "whole_number_input": false, "base_value": 1588.627, "edge_kind": "declared_limit", "direction": "down", "inside_value": 1587.428, "inside_value_hex": "4098cdb645a1cac1", "outside_value": 1587.4279999999999, "outside_value_hex": "4098cdb645a1cac0", "width": 2.2737367544323206e-13, "adjacent_64_bit_numbers": true, "stop_name": "FrequencyOutOfRange", "stop_sentence": "Physical Violation: flatwise frequency 1587.4279999999999 Hz is outside 1587.428 to 1608.28 Hz (FrequencyOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "06c7527bd82ea01c3a9a5f3f39483332cc113dd22d865f43a683545f3055167c", "outside_proof": null, "inside_receipt": "bafc767d7f32e135335bc1683bee8bbdaafc8a988286960c3cb153393d6408df", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:45:12Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"modulus_bam_s355\", \"parameters\": {\"bar\": \"ERX1\", \"frequencies_hz\": [1587.428, 8950.895, 4700.015]}}", "inside_answer": "{\"inputs\":{\"solver\":\"modulus_bam_s355\",\"parameters\":{\"bar\":\"ERX1\",\"frequencies_hz\":[1587.428,8950.895,4700.015]}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"youngs_modulus_pa\":2.107285767245232e11,\"youngs_modulus_pa_hex\":\"42488833736a42f8\",\"shear_modulus_pa\":8.05218226566612e10,\"shear_modulus_pa_hex\":\"4232bf7981c0a944\",\"youngs_modulus_method_uncertainty_pa\":2.1072857672452319e9,\"youngs_modulus_method_uncertainty_pa_hex\":\"41df66a841cfb1e1\",\"shear_modulus_method_uncertainty_pa\":8.05218226566612e8,\"shear_modulus_method_uncertainty_pa_hex\":\"41c7ff53d94886be\",\"shear_modulus_method_uncertainty_ceiling_pa\":2.415654679699836e9,\"shear_modulus_method_uncertainty_ceiling_pa_hex\":\"41e1ff7ee2f6650e\",\"edgewise_predicted_hz\":4.695095770173919e3,\"edgewise_predicted_hz_hex\":\"40b257188464e4ea\",\"flatwise_residual_fraction\":1.1102230246251565e-15,\"flatwise_residual_fraction_hex\":\"3cd4000000000000\",\"torsion_residual_fraction\":-5.551115123125783e-16,\"torsion_residual_fraction_hex\":\"bcc4000000000000\",\"edgewise_residual_fraction\":-1.0466413035025157e-3,\"edgewise_residual_fraction_hex\":\"bf5125ee8ad3f200\",\"last_step\":7.122359913118427e-15,\"last_step_hex\":\"3d0009c2cddc74e3\"},\"invariants\":{\"flatwise_energy_balance\":1.0735445241814535e-11,\"flatwise_energy_balance_hex\":\"3da79b84b5c94137\",\"edgewise_energy_balance\":8.94328540704655e-11,\"edgewise_energy_balance_hex\":\"3dd8954712b46f42\",\"flatwise_free_end\":4.7974040289704985e-14,\"flatwise_free_end_hex\":\"3d2b01c9afd2e9e7\",\"edgewise_free_end\":8.16482045588211e-14,\"edgewise_free_end_hex\":\"3d36fb5f889855f0\"},\"field_sha256\":\"79b8023d3eb6ac43a5952a9e504588904a9e632bc143dfbabe1e8ccd5e6ebd78\",\"seal_parts\":{\"inputs\":\"feaf35fb3884a583192bc53503bf0a478ffc56bb8b7827a648053b17b477e845\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"407e3e8c053708483702e5ca82f23689b1c05ca1e4c59ef79696b39514371be2\",\"invariants\":\"d8161d9b0f730f9b1d7ce025757aac58f90a1913a98f00c58a039ef127121433\",\"field_sha256\":\"f2132df16068027021fbc9c4a5b42528076052f981c298999fa7fcf683818464\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"06c7527bd82ea01c3a9a5f3f39483332cc113dd22d865f43a683545f3055167c\",\"receipt_sha256\":\"bafc767d7f32e135335bc1683bee8bbdaafc8a988286960c3cb153393d6408df\"}", "outside_request": "{\"solver\": \"modulus_bam_s355\", \"parameters\": {\"bar\": \"ERX1\", \"frequencies_hz\": [1587.4279999999999, 8950.895, 4700.015]}}", "outside_answer": "Physical Violation: flatwise frequency 1587.4279999999999 Hz is outside 1587.428 to 1608.28 Hz (FrequencyOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-51fbc30fde7c", "model": "modulus_bam_s355", "solver": "modulus_bam_s355", "tool": "solve", "specimen": "Young's modulus and shear modulus of one of four test bars, each about 100 mm long, cut from one sheet of S355J2+N steel at BAM Berlin, worked back from the bar's measured resonant frequencies, with the edgewise frequency they predict: a property of those bars, not the strength or the load of a steel structure; the comparison with the independent tensile measurement missed its line, and no independent measurement confirms the returned moduli.", "base": "example_solve", "input": "parameters.frequencies_hz[0]", "input_unit": "Hz", "whole_number_input": false, "base_value": 1588.627, "edge_kind": "declared_limit", "direction": "up", "inside_value": 1593.1672215357185, "inside_value_hex": "4098e4ab3c1f4c64", "outside_value": 1593.1672215357187, "outside_value_hex": "4098e4ab3c1f4c65", "width": 2.2737367544323206e-13, "adjacent_64_bit_numbers": true, "stop_name": "ModesInconsistent", "stop_sentence": "Solver Refusal: modulus_bam_s355 did not return the moduli (ModesInconsistent). the supplied edgewise frequency is 0.002500000000001279 of itself away from the predicted one, past 0.0025.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "3d1536597c1185af893dbaf786f6f08aa0135935cd2f5a25f654cb25664c93d2", "outside_proof": "25bc2275533f9e64761f49ff36afeb27f0379cdf9d5d97ac069523fe88180687", "inside_receipt": "c34025037f69a2b51638145f5b095322bd0a482679490c94c1b5ca7a99f6ee07", "outside_receipt": "9c984383bdfc15103fdd89abd057cff5347a755303ff476797db02e1c902872c", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:45:14Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"modulus_bam_s355\", \"parameters\": {\"bar\": \"ERX1\", \"frequencies_hz\": [1593.1672215357185, 8950.895, 4700.015]}}", "inside_answer": "{\"inputs\":{\"solver\":\"modulus_bam_s355\",\"parameters\":{\"bar\":\"ERX1\",\"frequencies_hz\":[1593.1672215357185,8950.895,4700.015]}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"youngs_modulus_pa\":2.1225874066655948e11,\"youngs_modulus_pa_hex\":\"4248b5cdacdd479d\",\"shear_modulus_pa\":8.05218226566612e10,\"shear_modulus_pa_hex\":\"4232bf7981c0a944\",\"youngs_modulus_method_uncertainty_pa\":2.1225874066655948e9,\"youngs_modulus_method_uncertainty_pa_hex\":\"41dfa10743aa991b\",\"shear_modulus_method_uncertainty_pa\":8.05218226566612e8,\"shear_modulus_method_uncertainty_pa_hex\":\"41c7ff53d94886be\",\"shear_modulus_method_uncertainty_ceiling_pa\":2.415654679699836e9,\"shear_modulus_method_uncertainty_ceiling_pa_hex\":\"41e1ff7ee2f6650e\",\"edgewise_predicted_hz\":4.711765037499997e3,\"edgewise_predicted_hz_hex\":\"40b267c3d97f62b3\",\"flatwise_residual_fraction\":-1.3322676295501878e-15,\"flatwise_residual_fraction_hex\":\"bcd8000000000000\",\"torsion_residual_fraction\":-5.551115123125783e-16,\"torsion_residual_fraction_hex\":\"bcc4000000000000\",\"edgewise_residual_fraction\":2.4999999999992806e-3,\"edgewise_residual_fraction_hex\":\"3f647ae147ae0e00\",\"last_step\":1.0683724319909122e-14,\"last_step_hex\":\"3d080ebf6d1fdcf1\"},\"invariants\":{\"flatwise_energy_balance\":1.0840907427518031e-11,\"flatwise_energy_balance_hex\":\"3da7d6e369af351d\",\"edgewise_energy_balance\":9.006474826021086e-11,\"edgewise_energy_balance_hex\":\"3dd8c1be444e072a\",\"flatwise_free_end\":1.5291479125371173e-13,\"flatwise_free_end_hex\":\"3d4585560279cbf4\",\"edgewise_free_end\":8.17525221393731e-14,\"edgewise_free_end_hex\":\"3d3702e3da70e79d\"},\"field_sha256\":\"523eec18bc04c6943bcdb59532be941fd36d362dcaa9b24b5195a4d8f8ceed30\",\"seal_parts\":{\"inputs\":\"9a22fd4236a166e5d6eecb6ac86ef7a64544d18da21a4b957597b9e764300e63\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"9bddebc343ce0de0e568aa0e80ddc51f0a01327f521d98c63a6bfffc36679893\",\"invariants\":\"a5aa8e3e9f83ea34779b56f762566143474bd8a36de06bb0b55ba2b7b47d95b8\",\"field_sha256\":\"d4a1f9b9d83baa2d639a6f11644a4e10a1c172f39b11e2249f9759bbd01c7994\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"3d1536597c1185af893dbaf786f6f08aa0135935cd2f5a25f654cb25664c93d2\",\"receipt_sha256\":\"c34025037f69a2b51638145f5b095322bd0a482679490c94c1b5ca7a99f6ee07\"}", "outside_request": "{\"solver\": \"modulus_bam_s355\", \"parameters\": {\"bar\": \"ERX1\", \"frequencies_hz\": [1593.1672215357187, 8950.895, 4700.015]}}", "outside_answer": "{\"inputs\":{\"solver\":\"modulus_bam_s355\",\"parameters\":{\"bar\":\"ERX1\",\"frequencies_hz\":[1593.1672215357187,8950.895,4700.015]}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"ModesInconsistent\",\"reject_detail\":\"Solver Refusal: modulus_bam_s355 did not return the moduli (ModesInconsistent). the supplied edgewise frequency is 0.002500000000001279 of itself away from the predicted one, past 0.0025.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"038c10732dc43169140a2f032c013040987e26bfc433209f4278de666403c753\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"38f3919b7844243640c5e838ab82a1d2638f185c5d32097adc6a644d4af3cd6b\"},\"solution_seal\":\"25bc2275533f9e64761f49ff36afeb27f0379cdf9d5d97ac069523fe88180687\",\"receipt_sha256\":\"9c984383bdfc15103fdd89abd057cff5347a755303ff476797db02e1c902872c\"}", "outside_answer_is_error": false}
{"id": "edge-065a6989dcbf", "model": "modulus_bam_s355", "solver": "modulus_bam_s355", "tool": "solve", "specimen": "Young's modulus and shear modulus of one of four test bars, each about 100 mm long, cut from one sheet of S355J2+N steel at BAM Berlin, worked back from the bar's measured resonant frequencies, with the edgewise frequency they predict: a property of those bars, not the strength or the load of a steel structure; the comparison with the independent tensile measurement missed its line, and no independent measurement confirms the returned moduli.", "base": "example_solve", "input": "parameters.frequencies_hz[1]", "input_unit": "Hz", "whole_number_input": false, "base_value": 8950.895, "edge_kind": "declared_limit", "direction": "down", "inside_value": 8899.446, "inside_value_hex": "40c161b916872b02", "outside_value": 8899.445999999998, "outside_value_hex": "40c161b916872b01", "width": 1.8189894035458565e-12, "adjacent_64_bit_numbers": true, "stop_name": "FrequencyOutOfRange", "stop_sentence": "Physical Violation: torsion frequency 8899.445999999998 Hz is outside 8899.446 to 8966.189 Hz (FrequencyOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "d56efbfa3869a3cfff7d2391c44289e3e601a89e2e2fecb1f43f994b426523fa", "outside_proof": null, "inside_receipt": "0caa853e185fd638cbf17745fd833311e6cd2e13f8a7bb482b933bfbe0e82071", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:45:16Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"modulus_bam_s355\", \"parameters\": {\"bar\": \"ERX1\", \"frequencies_hz\": [1588.627, 8899.446, 4700.015]}}", "inside_answer": "{\"inputs\":{\"solver\":\"modulus_bam_s355\",\"parameters\":{\"bar\":\"ERX1\",\"frequencies_hz\":[1588.627,8899.446,4700.015]}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"youngs_modulus_pa\":2.1105362863364905e11,\"youngs_modulus_pa_hex\":\"424891e3666cd314\",\"shear_modulus_pa\":7.959881750174544e10,\"shear_modulus_pa_hex\":\"4232887590ddbed5\",\"youngs_modulus_method_uncertainty_pa\":2.1105362863364906e9,\"youngs_modulus_method_uncertainty_pa_hex\":\"41df730e97958910\",\"shear_modulus_method_uncertainty_pa\":7.959881750174544e8,\"shear_modulus_method_uncertainty_pa_hex\":\"41c7b8e867823bf2\",\"shear_modulus_method_uncertainty_ceiling_pa\":2.387964525052363e9,\"shear_modulus_method_uncertainty_ceiling_pa_hex\":\"41e1caae4da1acf5\",\"edgewise_predicted_hz\":4.698090167876432e3,\"edgewise_predicted_hz_hex\":\"40b25a17153df06d\",\"flatwise_residual_fraction\":2.220446049250313e-16,\"flatwise_residual_fraction_hex\":\"3cb0000000000000\",\"torsion_residual_fraction\":0.0e0,\"torsion_residual_fraction_hex\":\"0000000000000000\",\"edgewise_residual_fraction\":-4.095374426609233e-4,\"edgewise_residual_fraction_hex\":\"bf3ad6e5ec372000\",\"last_step\":3.5612913841211905e-15,\"last_step_hex\":\"3cf009e3b116f6b1\"},\"invariants\":{\"flatwise_energy_balance\":1.089630193573851e-11,\"flatwise_energy_balance_hex\":\"3da7f6129a511e4c\",\"edgewise_energy_balance\":9.058473951381456e-11,\"edgewise_energy_balance_hex\":\"3dd8e65598b2e0fd\",\"flatwise_free_end\":1.924768645073827e-13,\"flatwise_free_end_hex\":\"3d4b16b5bad6b885\",\"edgewise_free_end\":1.942473114135556e-13,\"edgewise_free_end_hex\":\"3d4b567f38674911\"},\"field_sha256\":\"2e910bb5ec3549262983520e64c53b910bd3fdc9b2eb29060f7767d1565237cc\",\"seal_parts\":{\"inputs\":\"ca5a4990bf26a9ec90413487f53258bd5e5926c110e3e068c209c18d8805a035\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"6ec23164691211c163868fab85df5084eca52250db45a597166df3c468ce1c2d\",\"invariants\":\"d2dcd25d98f6bbd4cff68a6dc12bf0739076ee225254dbd65caf3dd7d11cfbec\",\"field_sha256\":\"671898e6401eb468787be17c9a06d1a1d6e04c024fc31797b6bc40cdfafdc572\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"d56efbfa3869a3cfff7d2391c44289e3e601a89e2e2fecb1f43f994b426523fa\",\"receipt_sha256\":\"0caa853e185fd638cbf17745fd833311e6cd2e13f8a7bb482b933bfbe0e82071\"}", "outside_request": "{\"solver\": \"modulus_bam_s355\", \"parameters\": {\"bar\": \"ERX1\", \"frequencies_hz\": [1588.627, 8899.445999999998, 4700.015]}}", "outside_answer": "Physical Violation: torsion frequency 8899.445999999998 Hz is outside 8899.446 to 8966.189 Hz (FrequencyOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-6ce71f8d01be", "model": "modulus_bam_s355", "solver": "modulus_bam_s355", "tool": "solve", "specimen": "Young's modulus and shear modulus of one of four test bars, each about 100 mm long, cut from one sheet of S355J2+N steel at BAM Berlin, worked back from the bar's measured resonant frequencies, with the edgewise frequency they predict: a property of those bars, not the strength or the load of a steel structure; the comparison with the independent tensile measurement missed its line, and no independent measurement confirms the returned moduli.", "base": "example_solve", "input": "parameters.frequencies_hz[1]", "input_unit": "Hz", "whole_number_input": false, "base_value": 8950.895, "edge_kind": "declared_limit", "direction": "up", "inside_value": 8966.189, "inside_value_hex": "40c183183126e979", "outside_value": 8966.189000000002, "outside_value_hex": "40c183183126e97a", "width": 1.8189894035458565e-12, "adjacent_64_bit_numbers": true, "stop_name": "FrequencyOutOfRange", "stop_sentence": "Physical Violation: torsion frequency 8966.189000000002 Hz is outside 8899.446 to 8966.189 Hz (FrequencyOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "44976af7b3b7ee369490a75580ef5ae4536cef9ae3f496d3ed67af92f47c2d71", "outside_proof": null, "inside_receipt": "780df2b634d8b31620d7ccfdd99a74152a7ec59d14656db8435ab94f742c449c", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:45:18Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"modulus_bam_s355\", \"parameters\": {\"bar\": \"ERX1\", \"frequencies_hz\": [1588.627, 8966.189, 4700.015]}}", "inside_answer": "{\"inputs\":{\"solver\":\"modulus_bam_s355\",\"parameters\":{\"bar\":\"ERX1\",\"frequencies_hz\":[1588.627,8966.189,4700.015]}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"youngs_modulus_pa\":2.110460708345404e11,\"youngs_modulus_pa_hex\":\"424891a9bd19452c\",\"shear_modulus_pa\":8.07972259233194e10,\"shear_modulus_pa_hex\":\"4232cfe3d3c351c4\",\"youngs_modulus_method_uncertainty_pa\":2.1104607083454041e9,\"youngs_modulus_method_uncertainty_pa_hex\":\"41df72c4c9161b1a\",\"shear_modulus_method_uncertainty_pa\":8.07972259233194e8,\"shear_modulus_method_uncertainty_pa_hex\":\"41c81456d19dd94d\",\"shear_modulus_method_uncertainty_ceiling_pa\":2.4239167776995816e9,\"shear_modulus_method_uncertainty_ceiling_pa_hex\":\"41e20f411d3662f9\",\"edgewise_predicted_hz\":4.698722034322925e3,\"edgewise_predicted_hz_hex\":\"40b25ab8d73dcb8d\",\"flatwise_residual_fraction\":2.220446049250313e-16,\"flatwise_residual_fraction_hex\":\"3cb0000000000000\",\"torsion_residual_fraction\":-1.2212453270876722e-15,\"torsion_residual_fraction_hex\":\"bcd6000000000000\",\"edgewise_residual_fraction\":-2.7509820225590786e-4,\"edgewise_residual_fraction_hex\":\"bf320761c8292000\",\"last_step\":7.122327650249747e-15,\"last_step_hex\":\"3d0009be0b01230b\"},\"invariants\":{\"flatwise_energy_balance\":1.0723807277939851e-11,\"flatwise_energy_balance_hex\":\"3da794f780b43185\",\"edgewise_energy_balance\":8.927406593110417e-11,\"edgewise_energy_balance_hex\":\"3dd88a1a99a9a2a3\",\"flatwise_free_end\":2.103123611490803e-13,\"flatwise_free_end_hex\":\"3d4d994d269c9eb2\",\"edgewise_free_end\":9.116943998127676e-15,\"edgewise_free_end_hex\":\"3d04878f761a8993\"},\"field_sha256\":\"22d8ab9abcbbd7d975eec73da019fdc0fcd402d1f9b391ebb75ad1836bbab0c2\",\"seal_parts\":{\"inputs\":\"a8f587e4eb0afe122b9c29eb1a5954f63923c1dd5cef49e8b49dcc625481b2da\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"818b5ec610c4cd5498c763ec831aae731d00e6bfb0dd072d4b87874d8a9c32b1\",\"invariants\":\"0987a41af77d22b0c296949eae9525ac58eb969825d567dc6baa650f74929b59\",\"field_sha256\":\"e110267b3a9707ad5a924600574098aa92abc0c778fb361e9db2456f8d76255d\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"44976af7b3b7ee369490a75580ef5ae4536cef9ae3f496d3ed67af92f47c2d71\",\"receipt_sha256\":\"780df2b634d8b31620d7ccfdd99a74152a7ec59d14656db8435ab94f742c449c\"}", "outside_request": "{\"solver\": \"modulus_bam_s355\", \"parameters\": {\"bar\": \"ERX1\", \"frequencies_hz\": [1588.627, 8966.189000000002, 4700.015]}}", "outside_answer": "Physical Violation: torsion frequency 8966.189000000002 Hz is outside 8899.446 to 8966.189 Hz (FrequencyOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-728296da4a9c", "model": "modulus_bam_s355", "solver": "modulus_bam_s355", "tool": "solve", "specimen": "Young's modulus and shear modulus of one of four test bars, each about 100 mm long, cut from one sheet of S355J2+N steel at BAM Berlin, worked back from the bar's measured resonant frequencies, with the edgewise frequency they predict: a property of those bars, not the strength or the load of a steel structure; the comparison with the independent tensile measurement missed its line, and no independent measurement confirms the returned moduli.", "base": "example_solve", "input": "parameters.frequencies_hz[2]", "input_unit": "Hz", "whole_number_input": false, "base_value": 4700.015, "edge_kind": "declared_limit", "direction": "down", "inside_value": 4695.035, "inside_value_hex": "40b25708f5c28f5c", "outside_value": 4695.034999999999, "outside_value_hex": "40b25708f5c28f5b", "width": 9.094947017729282e-13, "adjacent_64_bit_numbers": true, "stop_name": "FrequencyOutOfRange", "stop_sentence": "Physical Violation: edgewise frequency 4695.034999999999 Hz is outside 4695.035 to 4755.856 Hz (FrequencyOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "a2d89548d7c09697b3fe0082e6d3a4922b2d29e116078a814c0f78d3301e7652", "outside_proof": null, "inside_receipt": "bb2285ce846ad64431b0a9292f4ed92b2f50740bf6c8f9c3eff9344d40c5e633", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:45:19Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"modulus_bam_s355\", \"parameters\": {\"bar\": \"ERX1\", \"frequencies_hz\": [1588.627, 8950.895, 4695.035]}}", "inside_answer": "{\"inputs\":{\"solver\":\"modulus_bam_s355\",\"parameters\":{\"bar\":\"ERX1\",\"frequencies_hz\":[1588.627,8950.895,4695.035]}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"youngs_modulus_pa\":2.1104778771569736e11,\"youngs_modulus_pa_hex\":\"424891b6d661d943\",\"shear_modulus_pa\":8.05218226566612e10,\"shear_modulus_pa_hex\":\"4232bf7981c0a944\",\"youngs_modulus_method_uncertainty_pa\":2.1104778771569736e9,\"youngs_modulus_method_uncertainty_pa_hex\":\"41df72d58d4a0bdb\",\"shear_modulus_method_uncertainty_pa\":8.05218226566612e8,\"shear_modulus_method_uncertainty_pa_hex\":\"41c7ff53d94886be\",\"shear_modulus_method_uncertainty_ceiling_pa\":2.415654679699836e9,\"shear_modulus_method_uncertainty_ceiling_pa_hex\":\"41e1ff7ee2f6650e\",\"edgewise_predicted_hz\":4.698578470964684e3,\"edgewise_predicted_hz_hex\":\"40b25a9416ac5301\",\"flatwise_residual_fraction\":-2.3314683517128287e-15,\"flatwise_residual_fraction_hex\":\"bce5000000000000\",\"torsion_residual_fraction\":-5.551115123125783e-16,\"torsion_residual_fraction_hex\":\"bcc4000000000000\",\"edgewise_residual_fraction\":7.547272735313193e-4,\"edgewise_residual_fraction_hex\":\"3f48bb1c7a861000\",\"last_step\":1.42447712265792e-14,\"last_step_hex\":\"3d1009c698c942b6\"},\"invariants\":{\"flatwise_energy_balance\":1.0772062509865706e-11,\"flatwise_energy_balance_hex\":\"3da7b021d087eed6\",\"edgewise_energy_balance\":8.957670416521673e-11,\"edgewise_energy_balance_hex\":\"3dd89f66722ceff3\",\"flatwise_free_end\":2.18109566911851e-13,\"flatwise_free_end_hex\":\"3d4eb239ae3059c3\",\"edgewise_free_end\":2.5799377573086883e-14,\"edgewise_free_end_hex\":\"3d1d0c2a0fb85d89\"},\"field_sha256\":\"f1fb95328c8d9ebf6b414f02af2ce1ac9b0a918d4b0177b7aaa13feb4b2e5f71\",\"seal_parts\":{\"inputs\":\"c75d77907342b259371c021a3cb4cbd5176f605c721249e315c541ff1baf0cdf\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"a176570138c63e7781c1c00513fd2ef879fffcbb868757b193c007237c63939a\",\"invariants\":\"c010e288a7cfdefd2eef873d9f3a928d8f330d84c7d50ada32d66eef26537e5f\",\"field_sha256\":\"f40dc1a9b057deccbcf2bdd2939bab12a2212d4071ce4ee483fbe900341a8172\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"a2d89548d7c09697b3fe0082e6d3a4922b2d29e116078a814c0f78d3301e7652\",\"receipt_sha256\":\"bb2285ce846ad64431b0a9292f4ed92b2f50740bf6c8f9c3eff9344d40c5e633\"}", "outside_request": "{\"solver\": \"modulus_bam_s355\", \"parameters\": {\"bar\": \"ERX1\", \"frequencies_hz\": [1588.627, 8950.895, 4695.034999999999]}}", "outside_answer": "Physical Violation: edgewise frequency 4695.034999999999 Hz is outside 4695.035 to 4755.856 Hz (FrequencyOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-3c9cdad8fac6", "model": "modulus_bam_s355", "solver": "modulus_bam_s355", "tool": "solve", "specimen": "Young's modulus and shear modulus of one of four test bars, each about 100 mm long, cut from one sheet of S355J2+N steel at BAM Berlin, worked back from the bar's measured resonant frequencies, with the edgewise frequency they predict: a property of those bars, not the strength or the load of a steel structure; the comparison with the independent tensile measurement missed its line, and no independent measurement confirms the returned moduli.", "base": "example_solve", "input": "parameters.frequencies_hz[2]", "input_unit": "Hz", "whole_number_input": false, "base_value": 4700.015, "edge_kind": "declared_limit", "direction": "up", "inside_value": 4710.354356856826, "inside_value_hex": "40b2665ab721872e", "outside_value": 4710.354356856827, "outside_value_hex": "40b2665ab721872f", "width": 9.094947017729282e-13, "adjacent_64_bit_numbers": true, "stop_name": "ModesInconsistent", "stop_sentence": "Solver Refusal: modulus_bam_s355 did not return the moduli (ModesInconsistent). the supplied edgewise frequency is -0.0025000000000000577 of itself away from the predicted one, past 0.0025.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "e4a95a027eb7481ba4a91abd51e0ff2f9ee412f531fc35e30bca4b2c07ee1c9a", "outside_proof": "dde43b53de76bb805a16c78f168c58ce18d68a09e576816347842c3a069c0981", "inside_receipt": "b12ac1b9a7d8ef7a9fb075d2ebc9d4156ff7492f17500e1b5e9d390594d98ef5", "outside_receipt": "79243b146d48ac9537c0deb86aba7a92e7216528b0185fff03ac87b1b3388f9e", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:45:21Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"modulus_bam_s355\", \"parameters\": {\"bar\": \"ERX1\", \"frequencies_hz\": [1588.627, 8950.895, 4710.354356856826]}}", "inside_answer": "{\"inputs\":{\"solver\":\"modulus_bam_s355\",\"parameters\":{\"bar\":\"ERX1\",\"frequencies_hz\":[1588.627,8950.895,4710.354356856826]}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"youngs_modulus_pa\":2.1104778771569736e11,\"youngs_modulus_pa_hex\":\"424891b6d661d943\",\"shear_modulus_pa\":8.05218226566612e10,\"shear_modulus_pa_hex\":\"4232bf7981c0a944\",\"youngs_modulus_method_uncertainty_pa\":2.1104778771569736e9,\"youngs_modulus_method_uncertainty_pa_hex\":\"41df72d58d4a0bdb\",\"shear_modulus_method_uncertainty_pa\":8.05218226566612e8,\"shear_modulus_method_uncertainty_pa_hex\":\"41c7ff53d94886be\",\"shear_modulus_method_uncertainty_ceiling_pa\":2.415654679699836e9,\"shear_modulus_method_uncertainty_ceiling_pa_hex\":\"41e1ff7ee2f6650e\",\"edgewise_predicted_hz\":4.698578470964684e3,\"edgewise_predicted_hz_hex\":\"40b25a9416ac5301\",\"flatwise_residual_fraction\":-2.3314683517128287e-15,\"flatwise_residual_fraction_hex\":\"bce5000000000000\",\"torsion_residual_fraction\":-5.551115123125783e-16,\"torsion_residual_fraction_hex\":\"bcc4000000000000\",\"edgewise_residual_fraction\":-2.4999999999999467e-3,\"edgewise_residual_fraction_hex\":\"bf647ae147ae1400\",\"last_step\":1.42447712265792e-14,\"last_step_hex\":\"3d1009c698c942b6\"},\"invariants\":{\"flatwise_energy_balance\":1.0772062509865706e-11,\"flatwise_energy_balance_hex\":\"3da7b021d087eed6\",\"edgewise_energy_balance\":8.957670416521673e-11,\"edgewise_energy_balance_hex\":\"3dd89f66722ceff3\",\"flatwise_free_end\":2.18109566911851e-13,\"flatwise_free_end_hex\":\"3d4eb239ae3059c3\",\"edgewise_free_end\":2.5799377573086883e-14,\"edgewise_free_end_hex\":\"3d1d0c2a0fb85d89\"},\"field_sha256\":\"f1fb95328c8d9ebf6b414f02af2ce1ac9b0a918d4b0177b7aaa13feb4b2e5f71\",\"seal_parts\":{\"inputs\":\"9b1fa8286d0aa361001f609cd238d8899b8014f0f46f61aa68ba161eddaa5a36\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"c7acdbc0fbf03b59c692a33f03ae89f0b6eb6c0bdee40956a4859352bf3d78b5\",\"invariants\":\"c010e288a7cfdefd2eef873d9f3a928d8f330d84c7d50ada32d66eef26537e5f\",\"field_sha256\":\"f40dc1a9b057deccbcf2bdd2939bab12a2212d4071ce4ee483fbe900341a8172\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"e4a95a027eb7481ba4a91abd51e0ff2f9ee412f531fc35e30bca4b2c07ee1c9a\",\"receipt_sha256\":\"b12ac1b9a7d8ef7a9fb075d2ebc9d4156ff7492f17500e1b5e9d390594d98ef5\"}", "outside_request": "{\"solver\": \"modulus_bam_s355\", \"parameters\": {\"bar\": \"ERX1\", \"frequencies_hz\": [1588.627, 8950.895, 4710.354356856827]}}", "outside_answer": "{\"inputs\":{\"solver\":\"modulus_bam_s355\",\"parameters\":{\"bar\":\"ERX1\",\"frequencies_hz\":[1588.627,8950.895,4710.354356856827]}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"ModesInconsistent\",\"reject_detail\":\"Solver Refusal: modulus_bam_s355 did not return the moduli (ModesInconsistent). the supplied edgewise frequency is -0.0025000000000000577 of itself away from the predicted one, past 0.0025.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"18cd8d2ecf0ef76ddc7aa33cb26d95afa031a26bf060db6a0653277549fe7823\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"38f3919b7844243640c5e838ab82a1d2638f185c5d32097adc6a644d4af3cd6b\"},\"solution_seal\":\"dde43b53de76bb805a16c78f168c58ce18d68a09e576816347842c3a069c0981\",\"receipt_sha256\":\"79243b146d48ac9537c0deb86aba7a92e7216528b0185fff03ac87b1b3388f9e\"}", "outside_answer_is_error": false}
{"id": "edge-87c33735dabf", "model": "pipe_flow_superpipe", "solver": "pipe_flow_superpipe", "tool": "solve", "specimen": "Fully developed, smooth-wall, turbulent air flow in the Princeton Superpipe (129.36 mm bore), a mixing length with van Driest damping with nothing fitted (kappa 0.41, A+ 26): Darcy friction factor, centreline-to-bulk velocity ratio and the mean velocity profile, bulk Reynolds number 31,577 to 35,724,000, laminar, transitional and rough-wall flow refused by name; compared once with held-back Superpipe measurements of A. J. Smits' group: the friction line met (rms 1.38 percent, worst 2.69, against Prandtl-Karman's 2.17 rms) and the profile line met (1.59 percent), the centreline line missed at one of 21 profiles (2.99 percent low against 2 percent, the NSTAP profile at 81,330), so by the rule fixed beforehand the comparison failed; the friction factor falls below the measured one as the Reynolds number rises, 2.7 percent low at 35.7 million.", "base": "example_solve", "input": "parameters.bulk_reynolds_number", "input_unit": "1", "whole_number_input": false, "base_value": 1000000.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 462839.66497158236, "inside_value_hex": "411c3fdea8ee4f7c", "outside_value": 462839.6649715823, "outside_value_hex": "411c3fdea8ee4f7b", "width": 5.820766091346741e-11, "adjacent_64_bit_numbers": true, "stop_name": "ReynoldsPerPascalOutOfRange", "stop_sentence": "Physical Violation: bulk Reynolds number over static pressure 0.31485691494665463 per Pa is outside 0.3148569149466547..=1.9968697596422582 per Pa: at the compared temperatures that is a bulk velocity no compared run had (ReynoldsPerPascalOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 16, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "427df11ce5a5a62d8ec7fc1d8632e60a9614e8501df771c832e8e9fba4bad74d", "outside_proof": null, "inside_receipt": "4a36bf7ac21e419470f84ae44d0f9bcf58025a6a536f060ff8bb616cee3d4e84", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:45:23Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"pipe_flow_superpipe\", \"parameters\": {\"bulk_reynolds_number\": 462839.66497158236, \"static_pressure_pa\": 1470000.0, \"temperature_k\": 296.0, \"wall_roughness_rms_um\": 0.15}}", "inside_answer": "{\"inputs\":{\"solver\":\"pipe_flow_superpipe\",\"parameters\":{\"bulk_reynolds_number\":462839.66497158236,\"static_pressure_pa\":1470000.0,\"temperature_k\":296.0,\"wall_roughness_rms_um\":0.15}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":16,\"result\":{\"darcy_friction_factor\":1.347115304258376e-2,\"darcy_friction_factor_hex\":\"3f8b96c38e0ef793\",\"centreline_to_bulk_velocity_ratio\":1.1633357779914548e0,\"centreline_to_bulk_velocity_ratio_hex\":\"3ff29d05fa0bd71a\",\"friction_to_bulk_velocity_ratio\":4.1035279094006054e-2,\"friction_to_bulk_velocity_ratio_hex\":\"3fa502937b61c93f\",\"karman_number\":9.49637741394257e3,\"karman_number_hex\":\"40c28c304f199e32\",\"pressure_drop_per_m_over_bulk_dynamic_pressure\":1.0413692828218739e-1,\"pressure_drop_per_m_over_bulk_dynamic_pressure_hex\":\"3fbaa8b7bd4723f3\",\"profile_y_over_radius\":[7.0e-3,1.0e-2,1.5e-2,2.0e-2,3.0e-2,5.0e-2,7.0e-2,1.0e-1,1.5e-1,2.0e-1,3.0e-1,4.0e-1,5.0e-1,7.0e-1,8.5e-1,1.0e0],\"profile_y_over_radius_hex\":[\"3f7cac083126e979\",\"3f847ae147ae147b\",\"3f8eb851eb851eb8\",\"3f947ae147ae147b\",\"3f9eb851eb851eb8\",\"3fa999999999999a\",\"3fb1eb851eb851ec\",\"3fb999999999999a\",\"3fc3333333333333\",\"3fc999999999999a\",\"3fd3333333333333\",\"3fd999999999999a\",\"3fe0000000000000\",\"3fe6666666666666\",\"3feb333333333333\",\"3ff0000000000000\"],\"profile_y_plus\":[6.647464189759799e1,9.49637741394257e1,1.4244566120913854e2,1.899275482788514e2,2.8489132241827707e2,4.748188706971285e2,6.6474641897598e2,9.49637741394257e2,1.4244566120913853e3,1.899275482788514e3,2.8489132241827706e3,3.798550965577028e3,4.748188706971285e3,6.6474641897597985e3,8.071920801851184e3,9.49637741394257e3],\"profile_y_plus_hex\":[\"40509e608868dfaa\",\"4057bdae79ba6417\",\"4061ce42db4bcb11\",\"4067bdae79ba6417\",\"4071ce42db4bcb11\",\"407dad1a1828fd1d\",\"4084c5f8aa831795\",\"408dad1a1828fd1d\",\"409641d3921ebdd5\",\"409dad1a1828fd1d\",\"40a641d3921ebdd5\",\"40adad1a1828fd1d\",\"40b28c304f199e32\",\"40b9f776d523dd79\",\"40bf87ebb9ab8cee\",\"40c28c304f199e32\"],\"profile_u_plus\":[1.5507682966101072e1,1.6411869806278105e1,1.7409942327807194e1,1.811489580463918e1,1.9113111977849893e1,2.0383597254734546e1,2.1231249148347594e1,2.214286732235751e1,2.3201873235403895e1,2.3973056594884145e1,2.50968286050262e1,2.5924622219649667e1,2.658215418397609e1,2.7568547704234707e1,2.8078251444393793e1,2.8349649464462424e1],\"profile_u_plus_hex\":[\"402f03ef059047e0\",\"403069704cb42ca0\",\"403168f1fafb2d92\",\"40321d69cfbb5f75\",\"40331cf4e815a6b3\",\"403462336dffeb96\",\"40353b3324e9617a\",\"40362492f3ed314e\",\"403733adf6dfff58\",\"4037f91a3cac2f3d\",\"403918c9c26be7a3\",\"4039ecb40ab28cdd\",\"403a95080e7d6829\",\"403b918c57a3e769\",\"403c14084962893e\",\"403c5982a096ee16\"],\"profile_u_over_bulk\":[6.363620986153211e-1,6.734656579551132e-1,7.144218424321176e-1,7.43349805102208e-1,7.843118843660605e-1,8.364466022878477e-1,8.712302343168218e-1,9.08638740514487e-1,9.520953437185481e-1,9.837410681074733e-1,1.0298553661816847e0,1.0638241081899948e0,1.0908061158593596e0,1.131283049259691e0,1.1521988844923778e0,1.1633357779914548e0],\"profile_u_over_bulk_hex\":[\"3fe45d140c3eef76\",\"3fe58d07d9fcaec3\",\"3fe6dc8b32196888\",\"3fe7c98587ccdcd6\",\"3fe919153ca6ec73\",\"3feac42baa35a6e9\",\"3febe11e3a75ab59\",\"3fed13918d4c6d61\",\"3fee7790a77e3dcb\",\"3fef7ace8c681e5d\",\"3ff07a499ed5c45d\",\"3ff1056c6d95f553\",\"3ff173f11d1e48a6\",\"3ff219bc41316eb7\",\"3ff26f6818f61e7e\",\"3ff29d05fa0bd71a\"]},\"invariants\":{\"largest_imbalance\":4.0676837963186586e-13,\"largest_imbalance_hex\":\"3d5c9fb00c90f128\",\"flux_residual\":2.220446049250313e-16,\"flux_residual_hex\":\"3cb0000000000000\",\"momentum_ledger_residual\":2.5754639866285535e-16,\"momentum_ledger_residual_hex\":\"3cb28ee47b17a037\"},\"field_sha256\":\"562ca5284d6410b4d3d5aa895bd27bd880599553ea2bdd884d669e61efb2261d\",\"seal_parts\":{\"inputs\":\"88ba63d0be477d7631ff49a2643b6ec1331c399ac4ae1222f3f08b71f1c80711\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"dc48f7e4558de5744e34dc98e9291c3b4a4da490409840cb9409991e1dd31017\",\"invariants\":\"3796bad3fd939304b5fbbf7b2d9e9c6b2d95490475d8d3224577ada1ef1f2812\",\"field_sha256\":\"a9910dbf5b25bf193623ea4c19677663d6a6bf14d470fa09c363157cca61d1b4\",\"outcome\":\"498ca04e266a7eb45470bfefd8c2486b73fd9a9e2d4d4ee717bf8eb48d4d597d\"},\"solution_seal\":\"427df11ce5a5a62d8ec7fc1d8632e60a9614e8501df771c832e8e9fba4bad74d\",\"receipt_sha256\":\"4a36bf7ac21e419470f84ae44d0f9bcf58025a6a536f060ff8bb616cee3d4e84\"}", "outside_request": "{\"solver\": \"pipe_flow_superpipe\", \"parameters\": {\"bulk_reynolds_number\": 462839.6649715823, \"static_pressure_pa\": 1470000.0, \"temperature_k\": 296.0, \"wall_roughness_rms_um\": 0.15}}", "outside_answer": "Physical Violation: bulk Reynolds number over static pressure 0.31485691494665463 per Pa is outside 0.3148569149466547..=1.9968697596422582 per Pa: at the compared temperatures that is a bulk velocity no compared run had (ReynoldsPerPascalOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-794a6b4b25d9", "model": "pipe_flow_superpipe", "solver": "pipe_flow_superpipe", "tool": "solve", "specimen": "Fully developed, smooth-wall, turbulent air flow in the Princeton Superpipe (129.36 mm bore), a mixing length with van Driest damping with nothing fitted (kappa 0.41, A+ 26): Darcy friction factor, centreline-to-bulk velocity ratio and the mean velocity profile, bulk Reynolds number 31,577 to 35,724,000, laminar, transitional and rough-wall flow refused by name; compared once with held-back Superpipe measurements of A. J. Smits' group: the friction line met (rms 1.38 percent, worst 2.69, against Prandtl-Karman's 2.17 rms) and the profile line met (1.59 percent), the centreline line missed at one of 21 profiles (2.99 percent low against 2 percent, the NSTAP profile at 81,330), so by the rule fixed beforehand the comparison failed; the friction factor falls below the measured one as the Reynolds number rises, 2.7 percent low at 35.7 million.", "base": "example_solve", "input": "parameters.bulk_reynolds_number", "input_unit": "1", "whole_number_input": false, "base_value": 1000000.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 2935398.5466741193, "inside_value_hex": "4146653345f96ae4", "outside_value": 2935398.54667412, "outside_value_hex": "4146653345f96ae5", "width": 4.656612873077393e-10, "adjacent_64_bit_numbers": true, "stop_name": "ReynoldsPerPascalOutOfRange", "stop_sentence": "Physical Violation: bulk Reynolds number over static pressure 1.9968697596422584 per Pa is outside 0.3148569149466547..=1.9968697596422582 per Pa: at the compared temperatures that is a bulk velocity no compared run had (ReynoldsPerPascalOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 15, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "725db68cd0e0ccc6a88815654992c2a25458dd0a9ce18f2873f386d4452376ec", "outside_proof": null, "inside_receipt": "e31e2d433d738caa93dc328e53a07bff4bfb8dedb566b37f6aa9c16a2f5683fe", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:45:25Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"pipe_flow_superpipe\", \"parameters\": {\"bulk_reynolds_number\": 2935398.5466741193, \"static_pressure_pa\": 1470000.0, \"temperature_k\": 296.0, \"wall_roughness_rms_um\": 0.15}}", "inside_answer": "{\"inputs\":{\"solver\":\"pipe_flow_superpipe\",\"parameters\":{\"bulk_reynolds_number\":2935398.5466741193,\"static_pressure_pa\":1470000.0,\"temperature_k\":296.0,\"wall_roughness_rms_um\":0.15}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":15,\"result\":{\"darcy_friction_factor\":9.845189009742673e-3,\"darcy_friction_factor_hex\":\"3f8429b6e68eea9a\",\"centreline_to_bulk_velocity_ratio\":1.139349660457779e0,\"centreline_to_bulk_velocity_ratio_hex\":\"3ff23ac6b5a5ff73\",\"friction_to_bulk_velocity_ratio\":3.508060185084962e-2,\"friction_to_bulk_velocity_ratio_hex\":\"3fa1f615ab58c763\",\"karman_number\":5.14877738447187e4,\"karman_number_hex\":\"40e923f8c355ffe0\",\"pressure_drop_per_m_over_bulk_dynamic_pressure\":7.61069032911462e-2,\"pressure_drop_per_m_over_bulk_dynamic_pressure_hex\":\"3fb37bbdf4a2a386\",\"profile_y_over_radius\":[1.0e-3,1.5e-3,2.0e-3,3.0e-3,5.0e-3,7.0e-3,1.0e-2,1.5e-2,2.0e-2,3.0e-2,5.0e-2,7.0e-2,1.0e-1,1.5e-1,2.0e-1,3.0e-1,4.0e-1,5.0e-1,7.0e-1,8.5e-1,1.0e0],\"profile_y_over_radius_hex\":[\"3f50624dd2f1a9fc\",\"3f589374bc6a7efa\",\"3f60624dd2f1a9fc\",\"3f689374bc6a7efa\",\"3f747ae147ae147b\",\"3f7cac083126e979\",\"3f847ae147ae147b\",\"3f8eb851eb851eb8\",\"3f947ae147ae147b\",\"3f9eb851eb851eb8\",\"3fa999999999999a\",\"3fb1eb851eb851ec\",\"3fb999999999999a\",\"3fc3333333333333\",\"3fc999999999999a\",\"3fd3333333333333\",\"3fd999999999999a\",\"3fe0000000000000\",\"3fe6666666666666\",\"3feb333333333333\",\"3ff0000000000000\"],\"profile_y_plus\":[5.14877738447187e1,7.723166076707805e1,1.029755476894374e2,1.544633215341561e2,2.574388692235935e2,3.604144169130309e2,5.14877738447187e2,7.723166076707805e2,1.029755476894374e3,1.544633215341561e3,2.574388692235935e3,3.6041441691303094e3,5.14877738447187e3,7.723166076707805e3,1.029755476894374e4,1.544633215341561e4,2.059510953788748e4,2.574388692235935e4,3.604144169130309e4,4.3764607768010894e4,5.14877738447187e4],\"profile_y_plus_hex\":[\"4049be6f5f93749c\",\"40534ed387ae9775\",\"4059be6f5f93749c\",\"40634ed387ae9775\",\"407017059bbc28e1\",\"407686a173a10608\",\"408017059bbc28e1\",\"40882288699a3d52\",\"409017059bbc28e1\",\"40982288699a3d52\",\"40a41cc702ab331a\",\"40ac2849d089478b\",\"40b41cc702ab331a\",\"40be2b2a8400cca6\",\"40c41cc702ab331a\",\"40ce2b2a8400cca6\",\"40d41cc702ab331a\",\"40d923f8c355ffe0\",\"40e1992e2255ccb6\",\"40e55e9372d5e64b\",\"40e923f8c355ffe0\"],\"profile_u_plus\":[1.482009815278574e1,1.5885837438609402e1,1.6602203651133674e1,1.7591630532567283e1,1.8833627294460562e1,1.9653903091649408e1,2.0525690153814796e1,2.1519969567612875e1,2.222792761495905e1,2.3230423948770706e1,2.450460339688751e1,2.5353914679546133e1,2.626684640288941e1,2.7326964633779546e1,2.8098770079546618e1,2.9223269158180376e1,3.005151629741271e1,3.070938613532338e1,3.169630307988937e1,3.2206340179467205e1,3.247805340689116e1],\"profile_u_plus_hex\":[\"402da3e3e7b37314\",\"402fc58c7c18ccb1\",\"40309a2a04bb26a3\",\"40319775193cb109\",\"4032d568992ec2d6\",\"4033a76631696333\",\"40348693a14276b9\",\"4035851cb9bfd004\",\"40363a5976d41aba\",\"40373afd105c2f74\",\"4038812db02f1516\",\"40395a9a27063997\",\"403a44500bbd771b\",\"403b53b3f4490822\",\"403c1948fef579de\",\"403d39282ae49715\",\"403e0d302c0c993e\",\"403eb59a546b7323\",\"403fb240eb2c3a9a\",\"40401a695ae154ca\",\"40403d30daa22b62\"],\"profile_u_over_bulk\":[5.198979626883885e-1,5.572847382511772e-1,5.824152961321424e-1,6.171249866202426e-1,6.606949805242652e-1,6.894707491733354e-1,7.200535639998812e-1,7.549334842438278e-1,7.797690786298839e-1,8.149372533732671e-1,8.59636235279188e-1,8.894305862335695e-1,9.21456780537185e-1,9.58646366109869e-1,9.857217656591412e-1,1.0251698701183392e0,1.054225278243854e0,1.0773037480972811e0,1.1119253884894575e0,1.1298177969089098e0,1.139349660457779e0],\"profile_u_over_bulk_hex\":[\"3fe0a3010d601df5\",\"3fe1d546cdab28c4\",\"3fe2a32567327c93\",\"3fe3bf7ce6628216\",\"3fe52469ccbf755c\",\"3fe61024f5e7f064\",\"3fe70aadc597ed6d\",\"3fe8286a442f713a\",\"3fe8f3de4864b788\",\"3fea13f74a70f7ca\",\"3feb8223d99f61ae\",\"3fec763721fdede3\",\"3fed7c92ee22b587\",\"3feead3b24dbe04c\",\"3fef8b085f4ec3af\",\"3ff0671885900b9c\",\"3ff0de1b534ac81a\",\"3ff13ca2dadefa0a\",\"3ff1ca7246b27813\",\"3ff213bbd38299c1\",\"3ff23ac6b5a5ff73\"]},\"invariants\":{\"largest_imbalance\":5.09525005936423e-13,\"largest_imbalance_hex\":\"3d61ed64ac46fad9\",\"flux_residual\":0.0e0,\"flux_residual_hex\":\"0000000000000000\",\"momentum_ledger_residual\":3.524002381793071e-16,\"momentum_ledger_residual_hex\":\"3cb964a312c5f79a\"},\"field_sha256\":\"8162bea6a301f5ec9705630496d57ddab5dea076196aaadaf447fbf6013fcc88\",\"seal_parts\":{\"inputs\":\"6b8d3d3cef271d38b3bc82d2794ba79ffa866aba2f97ed38f70b92288d7ee6b0\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"4f1dcf6c22c57f27b8aaafdb0f93419572c929d07098311f59379dd6352e3615\",\"invariants\":\"ccbdc119a87a7a2de5fdb4a26423e4e61be922e82dd640259eba04ef603ee9bf\",\"field_sha256\":\"f323ea2d2f7258f4798d7d31dcd964f695c2dc9e6a456f3258ba63144d531b25\",\"outcome\":\"befc33d753992a274dde0dcf100aa38c1ae67c4addfa23c374d0958a6cabb1b7\"},\"solution_seal\":\"725db68cd0e0ccc6a88815654992c2a25458dd0a9ce18f2873f386d4452376ec\",\"receipt_sha256\":\"e31e2d433d738caa93dc328e53a07bff4bfb8dedb566b37f6aa9c16a2f5683fe\"}", "outside_request": "{\"solver\": \"pipe_flow_superpipe\", \"parameters\": {\"bulk_reynolds_number\": 2935398.54667412, \"static_pressure_pa\": 1470000.0, \"temperature_k\": 296.0, \"wall_roughness_rms_um\": 0.15}}", "outside_answer": "Physical Violation: bulk Reynolds number over static pressure 1.9968697596422584 per Pa is outside 0.3148569149466547..=1.9968697596422582 per Pa: at the compared temperatures that is a bulk velocity no compared run had (ReynoldsPerPascalOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-69c62422e6dd", "model": "pipe_flow_superpipe", "solver": "pipe_flow_superpipe", "tool": "solve", "specimen": "Fully developed, smooth-wall, turbulent air flow in the Princeton Superpipe (129.36 mm bore), a mixing length with van Driest damping with nothing fitted (kappa 0.41, A+ 26): Darcy friction factor, centreline-to-bulk velocity ratio and the mean velocity profile, bulk Reynolds number 31,577 to 35,724,000, laminar, transitional and rough-wall flow refused by name; compared once with held-back Superpipe measurements of A. J. Smits' group: the friction line met (rms 1.38 percent, worst 2.69, against Prandtl-Karman's 2.17 rms) and the profile line met (1.59 percent), the centreline line missed at one of 21 profiles (2.99 percent low against 2 percent, the NSTAP profile at 81,330), so by the rule fixed beforehand the comparison failed; the friction factor falls below the measured one as the Reynolds number rises, 2.7 percent low at 35.7 million.", "base": "example_solve", "input": "parameters.static_pressure_pa", "input_unit": "Pa", "whole_number_input": false, "base_value": 1470000.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 500783.7868099877, "inside_value_hex": "411e90bf25b18475", "outside_value": 500783.7868099876, "outside_value_hex": "411e90bf25b18474", "width": 5.820766091346741e-11, "adjacent_64_bit_numbers": true, "stop_name": "ReynoldsPerPascalOutOfRange", "stop_sentence": "Physical Violation: bulk Reynolds number over static pressure 1.9968697596422584 per Pa is outside 0.3148569149466547..=1.9968697596422582 per Pa: at the compared temperatures that is a bulk velocity no compared run had (ReynoldsPerPascalOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 16, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "24b5bc96129701092424e90901d9cd3c6feac247f605f46e6033133b0f3226f2", "outside_proof": null, "inside_receipt": "9674f802bd391037cd8f02a89ed88c52abc2530cb163e488f2bb5878bc2ae816", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:45:27Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"pipe_flow_superpipe\", \"parameters\": {\"bulk_reynolds_number\": 1000000.0, \"static_pressure_pa\": 500783.7868099877, \"temperature_k\": 296.0, \"wall_roughness_rms_um\": 0.15}}", "inside_answer": "{\"inputs\":{\"solver\":\"pipe_flow_superpipe\",\"parameters\":{\"bulk_reynolds_number\":1000000.0,\"static_pressure_pa\":500783.7868099877,\"temperature_k\":296.0,\"wall_roughness_rms_um\":0.15}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":16,\"result\":{\"darcy_friction_factor\":1.1752672853983081e-2,\"darcy_friction_factor_hex\":\"3f8811c90c6336c6\",\"centreline_to_bulk_velocity_ratio\":1.1523665018697433e0,\"centreline_to_bulk_velocity_ratio_hex\":\"3ff27017db689562\",\"friction_to_bulk_velocity_ratio\":3.832863298824894e-2,\"friction_to_bulk_velocity_ratio_hex\":\"3fa39fcf825ead4e\",\"karman_number\":1.9164316494124472e4,\"karman_number_hex\":\"40d2b7144170927f\",\"pressure_drop_per_m_over_bulk_dynamic_pressure\":9.085244939690075e-2,\"pressure_drop_per_m_over_bulk_dynamic_pressure_hex\":\"3fb7421b2aebd2b1\",\"profile_y_over_radius\":[3.0e-3,5.0e-3,7.0e-3,1.0e-2,1.5e-2,2.0e-2,3.0e-2,5.0e-2,7.0e-2,1.0e-1,1.5e-1,2.0e-1,3.0e-1,4.0e-1,5.0e-1,7.0e-1,8.5e-1,1.0e0],\"profile_y_over_radius_hex\":[\"3f689374bc6a7efa\",\"3f747ae147ae147b\",\"3f7cac083126e979\",\"3f847ae147ae147b\",\"3f8eb851eb851eb8\",\"3f947ae147ae147b\",\"3f9eb851eb851eb8\",\"3fa999999999999a\",\"3fb1eb851eb851ec\",\"3fb999999999999a\",\"3fc3333333333333\",\"3fc999999999999a\",\"3fd3333333333333\",\"3fd999999999999a\",\"3fe0000000000000\",\"3fe6666666666666\",\"3feb333333333333\",\"3ff0000000000000\"],\"profile_y_plus\":[5.749294948237342e1,9.582158247062236e1,1.3415021545887132e2,1.9164316494124472e2,2.8746474741186705e2,3.8328632988248944e2,5.749294948237341e2,9.582158247062237e2,1.3415021545887132e3,1.9164316494124473e3,2.8746474741186707e3,3.8328632988248946e3,5.7492949482373415e3,7.665726597649789e3,9.582158247062236e3,1.341502154588713e4,1.62896690200058e4,1.9164316494124472e4],\"profile_y_plus_hex\":[\"404cbf18f7f8afde\",\"4057f494cea4928e\",\"4060c4ce90a66697\",\"4067f494cea4928e\",\"4071f76f9afb6dea\",\"4077f494cea4928e\",\"4081f76f9afb6dea\",\"408df1ba024db732\",\"4094f60234d0003d\",\"409df1ba024db732\",\"40a6754b81ba4965\",\"40adf1ba024db732\",\"40b6754b81ba4965\",\"40bdf1ba024db732\",\"40c2b7144170927f\",\"40ca3382c204004b\",\"40cfd0d5a27292a4\",\"40d2b7144170927f\"],\"profile_u_plus\":[1.5121353280024046e1,1.6428314148541403e1,1.7254147659711606e1,1.81238239972314e1,1.9114961248980592e1,1.982124009630559e1,2.0822026509963486e1,2.209479419251925e1,2.29434721368728e1,2.385590259958172e1,2.4915596412911917e1,2.5687164512918226e1,2.681138620542176e1,2.7639460324522453e1,2.8297201264667954e1,2.92839185233417e1,2.979382844158812e1,3.0065421384139732e1],\"profile_u_plus_hex\":[\"402e3e220461ee64\",\"40306da5fefc6640\",\"4031410fd22ed0f8\",\"40321fb2edf291a1\",\"40331d6e19b4add0\",\"4033d23cca7bcbe1\",\"4034d2705450bcfa\",\"403618446ea4b88d\",\"4036f18763d48e50\",\"4037db1c6ec9c3cf\",\"4038ea6486c9caa6\",\"4039afea0375f49f\",\"403acfb701a0b645\",\"403ba3b3abfce9da\",\"403c4c1561d01426\",\"403d48aee2647b31\",\"403dcb38573b4170\",\"403e10bf74b156d6\"],\"profile_u_over_bulk\":[5.79580800155696e-1,6.296748236151009e-1,6.613278931741405e-1,6.946613983335013e-1,7.326503342967777e-1,7.597210370232611e-1,7.980798121719804e-1,8.468632575559645e-1,8.793919230103132e-1,9.143641353427817e-1,9.549807505938327e-1,9.845539011244151e-1,1.027643781773811e0,1.059382730771889e0,1.0845930418680718e0,1.122412565538949e0,1.141956715652484e0,1.1523665018697433e0],\"profile_u_over_bulk_hex\":[\"3fe28bed08c1dcfd\",\"3fe4264bd0d1535e\",\"3fe529991d23b24d\",\"3fe63aaa8a745a40\",\"3fe771df1d26a8fb\",\"3fe84fa27e0323bb\",\"3fe989deac9c0c1d\",\"3feb1980f96c616c\",\"3fec23fa87b6445d\",\"3fed4278933dd793\",\"3fee8f33ca83857b\",\"3fef81772ecf5088\",\"3ff0713a9b2a801f\",\"3ff0f33b4e69cc8a\",\"3ff15a7e3bc4ae31\",\"3ff1f566e0d9bf75\",\"3ff2457467b2ccc2\",\"3ff27017db689562\"]},\"invariants\":{\"largest_imbalance\":4.170076282258262e-13,\"largest_imbalance_hex\":\"3d5d58243fa89d69\",\"flux_residual\":-2.220446049250313e-16,\"flux_residual_hex\":\"bcb0000000000000\",\"momentum_ledger_residual\":1.476024643525149e-16,\"momentum_ledger_residual_hex\":\"3ca54591dc6395eb\"},\"field_sha256\":\"82a57a6518894a5b709926eeb180eee2ce9f9df081e7f31fed8239272abdbba0\",\"seal_parts\":{\"inputs\":\"5837589d8f3a9a97045869b012846a311dc2a90abf972481b15c992c36c83ef5\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"9650c3b479cf935138551e5d5c3019ac5153125b46e307d22cb17c4d3c70b0f7\",\"invariants\":\"9cd3975dbf0c3eff67e19aa8994a3217d7c63539146de7488e7c87853fd23558\",\"field_sha256\":\"47640c634ccfd811e10be0eb7d6b1c00e5b9f04022137e27bf5f67b5db8d109a\",\"outcome\":\"498ca04e266a7eb45470bfefd8c2486b73fd9a9e2d4d4ee717bf8eb48d4d597d\"},\"solution_seal\":\"24b5bc96129701092424e90901d9cd3c6feac247f605f46e6033133b0f3226f2\",\"receipt_sha256\":\"9674f802bd391037cd8f02a89ed88c52abc2530cb163e488f2bb5878bc2ae816\"}", "outside_request": "{\"solver\": \"pipe_flow_superpipe\", \"parameters\": {\"bulk_reynolds_number\": 1000000.0, \"static_pressure_pa\": 500783.7868099876, \"temperature_k\": 296.0, \"wall_roughness_rms_um\": 0.15}}", "outside_answer": "Physical Violation: bulk Reynolds number over static pressure 1.9968697596422584 per Pa is outside 0.3148569149466547..=1.9968697596422582 per Pa: at the compared temperatures that is a bulk velocity no compared run had (ReynoldsPerPascalOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-1ccd1b3295f2", "model": "pipe_flow_superpipe", "solver": "pipe_flow_superpipe", "tool": "solve", "specimen": "Fully developed, smooth-wall, turbulent air flow in the Princeton Superpipe (129.36 mm bore), a mixing length with van Driest damping with nothing fitted (kappa 0.41, A+ 26): Darcy friction factor, centreline-to-bulk velocity ratio and the mean velocity profile, bulk Reynolds number 31,577 to 35,724,000, laminar, transitional and rough-wall flow refused by name; compared once with held-back Superpipe measurements of A. J. Smits' group: the friction line met (rms 1.38 percent, worst 2.69, against Prandtl-Karman's 2.17 rms) and the profile line met (1.59 percent), the centreline line missed at one of 21 profiles (2.99 percent low against 2 percent, the NSTAP profile at 81,330), so by the rule fixed beforehand the comparison failed; the friction factor falls below the measured one as the Reynolds number rises, 2.7 percent low at 35.7 million.", "base": "example_solve", "input": "parameters.static_pressure_pa", "input_unit": "Pa", "whole_number_input": false, "base_value": 1470000.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 3176045.85616113, "inside_value_hex": "41483b36ed96b01b", "outside_value": 3176045.8561611306, "outside_value_hex": "41483b36ed96b01c", "width": 4.656612873077393e-10, "adjacent_64_bit_numbers": true, "stop_name": "ReynoldsPerPascalOutOfRange", "stop_sentence": "Physical Violation: bulk Reynolds number over static pressure 0.31485691494665463 per Pa is outside 0.3148569149466547..=1.9968697596422582 per Pa: at the compared temperatures that is a bulk velocity no compared run had (ReynoldsPerPascalOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 16, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "8a42c117c5ea4acd63ff35a2ae3c8043d8c2d13baa0c85c21f23a6296e2a3539", "outside_proof": null, "inside_receipt": "5354a2446fe8580f6d85f643cbf9a1a7c390a049f8a25efc03acde262cfdd218", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:45:28Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"pipe_flow_superpipe\", \"parameters\": {\"bulk_reynolds_number\": 1000000.0, \"static_pressure_pa\": 3176045.85616113, \"temperature_k\": 296.0, \"wall_roughness_rms_um\": 0.15}}", "inside_answer": "{\"inputs\":{\"solver\":\"pipe_flow_superpipe\",\"parameters\":{\"bulk_reynolds_number\":1000000.0,\"static_pressure_pa\":3176045.85616113,\"temperature_k\":296.0,\"wall_roughness_rms_um\":0.15}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":16,\"result\":{\"darcy_friction_factor\":1.1752672853983081e-2,\"darcy_friction_factor_hex\":\"3f8811c90c6336c6\",\"centreline_to_bulk_velocity_ratio\":1.1523665018697433e0,\"centreline_to_bulk_velocity_ratio_hex\":\"3ff27017db689562\",\"friction_to_bulk_velocity_ratio\":3.832863298824894e-2,\"friction_to_bulk_velocity_ratio_hex\":\"3fa39fcf825ead4e\",\"karman_number\":1.9164316494124472e4,\"karman_number_hex\":\"40d2b7144170927f\",\"pressure_drop_per_m_over_bulk_dynamic_pressure\":9.085244939690075e-2,\"pressure_drop_per_m_over_bulk_dynamic_pressure_hex\":\"3fb7421b2aebd2b1\",\"profile_y_over_radius\":[3.0e-3,5.0e-3,7.0e-3,1.0e-2,1.5e-2,2.0e-2,3.0e-2,5.0e-2,7.0e-2,1.0e-1,1.5e-1,2.0e-1,3.0e-1,4.0e-1,5.0e-1,7.0e-1,8.5e-1,1.0e0],\"profile_y_over_radius_hex\":[\"3f689374bc6a7efa\",\"3f747ae147ae147b\",\"3f7cac083126e979\",\"3f847ae147ae147b\",\"3f8eb851eb851eb8\",\"3f947ae147ae147b\",\"3f9eb851eb851eb8\",\"3fa999999999999a\",\"3fb1eb851eb851ec\",\"3fb999999999999a\",\"3fc3333333333333\",\"3fc999999999999a\",\"3fd3333333333333\",\"3fd999999999999a\",\"3fe0000000000000\",\"3fe6666666666666\",\"3feb333333333333\",\"3ff0000000000000\"],\"profile_y_plus\":[5.749294948237342e1,9.582158247062236e1,1.3415021545887132e2,1.9164316494124472e2,2.8746474741186705e2,3.8328632988248944e2,5.749294948237341e2,9.582158247062237e2,1.3415021545887132e3,1.9164316494124473e3,2.8746474741186707e3,3.8328632988248946e3,5.7492949482373415e3,7.665726597649789e3,9.582158247062236e3,1.341502154588713e4,1.62896690200058e4,1.9164316494124472e4],\"profile_y_plus_hex\":[\"404cbf18f7f8afde\",\"4057f494cea4928e\",\"4060c4ce90a66697\",\"4067f494cea4928e\",\"4071f76f9afb6dea\",\"4077f494cea4928e\",\"4081f76f9afb6dea\",\"408df1ba024db732\",\"4094f60234d0003d\",\"409df1ba024db732\",\"40a6754b81ba4965\",\"40adf1ba024db732\",\"40b6754b81ba4965\",\"40bdf1ba024db732\",\"40c2b7144170927f\",\"40ca3382c204004b\",\"40cfd0d5a27292a4\",\"40d2b7144170927f\"],\"profile_u_plus\":[1.5121353280024046e1,1.6428314148541403e1,1.7254147659711606e1,1.81238239972314e1,1.9114961248980592e1,1.982124009630559e1,2.0822026509963486e1,2.209479419251925e1,2.29434721368728e1,2.385590259958172e1,2.4915596412911917e1,2.5687164512918226e1,2.681138620542176e1,2.7639460324522453e1,2.8297201264667954e1,2.92839185233417e1,2.979382844158812e1,3.0065421384139732e1],\"profile_u_plus_hex\":[\"402e3e220461ee64\",\"40306da5fefc6640\",\"4031410fd22ed0f8\",\"40321fb2edf291a1\",\"40331d6e19b4add0\",\"4033d23cca7bcbe1\",\"4034d2705450bcfa\",\"403618446ea4b88d\",\"4036f18763d48e50\",\"4037db1c6ec9c3cf\",\"4038ea6486c9caa6\",\"4039afea0375f49f\",\"403acfb701a0b645\",\"403ba3b3abfce9da\",\"403c4c1561d01426\",\"403d48aee2647b31\",\"403dcb38573b4170\",\"403e10bf74b156d6\"],\"profile_u_over_bulk\":[5.79580800155696e-1,6.296748236151009e-1,6.613278931741405e-1,6.946613983335013e-1,7.326503342967777e-1,7.597210370232611e-1,7.980798121719804e-1,8.468632575559645e-1,8.793919230103132e-1,9.143641353427817e-1,9.549807505938327e-1,9.845539011244151e-1,1.027643781773811e0,1.059382730771889e0,1.0845930418680718e0,1.122412565538949e0,1.141956715652484e0,1.1523665018697433e0],\"profile_u_over_bulk_hex\":[\"3fe28bed08c1dcfd\",\"3fe4264bd0d1535e\",\"3fe529991d23b24d\",\"3fe63aaa8a745a40\",\"3fe771df1d26a8fb\",\"3fe84fa27e0323bb\",\"3fe989deac9c0c1d\",\"3feb1980f96c616c\",\"3fec23fa87b6445d\",\"3fed4278933dd793\",\"3fee8f33ca83857b\",\"3fef81772ecf5088\",\"3ff0713a9b2a801f\",\"3ff0f33b4e69cc8a\",\"3ff15a7e3bc4ae31\",\"3ff1f566e0d9bf75\",\"3ff2457467b2ccc2\",\"3ff27017db689562\"]},\"invariants\":{\"largest_imbalance\":4.170076282258262e-13,\"largest_imbalance_hex\":\"3d5d58243fa89d69\",\"flux_residual\":-2.220446049250313e-16,\"flux_residual_hex\":\"bcb0000000000000\",\"momentum_ledger_residual\":1.476024643525149e-16,\"momentum_ledger_residual_hex\":\"3ca54591dc6395eb\"},\"field_sha256\":\"82a57a6518894a5b709926eeb180eee2ce9f9df081e7f31fed8239272abdbba0\",\"seal_parts\":{\"inputs\":\"d11ee32a0342ea7e65ab9303f81d5c04c310ec730d66d22053a2901831f0027b\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"9650c3b479cf935138551e5d5c3019ac5153125b46e307d22cb17c4d3c70b0f7\",\"invariants\":\"9cd3975dbf0c3eff67e19aa8994a3217d7c63539146de7488e7c87853fd23558\",\"field_sha256\":\"47640c634ccfd811e10be0eb7d6b1c00e5b9f04022137e27bf5f67b5db8d109a\",\"outcome\":\"498ca04e266a7eb45470bfefd8c2486b73fd9a9e2d4d4ee717bf8eb48d4d597d\"},\"solution_seal\":\"8a42c117c5ea4acd63ff35a2ae3c8043d8c2d13baa0c85c21f23a6296e2a3539\",\"receipt_sha256\":\"5354a2446fe8580f6d85f643cbf9a1a7c390a049f8a25efc03acde262cfdd218\"}", "outside_request": "{\"solver\": \"pipe_flow_superpipe\", \"parameters\": {\"bulk_reynolds_number\": 1000000.0, \"static_pressure_pa\": 3176045.8561611306, \"temperature_k\": 296.0, \"wall_roughness_rms_um\": 0.15}}", "outside_answer": "Physical Violation: bulk Reynolds number over static pressure 0.31485691494665463 per Pa is outside 0.3148569149466547..=1.9968697596422582 per Pa: at the compared temperatures that is a bulk velocity no compared run had (ReynoldsPerPascalOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-5276037c2294", "model": "pipe_flow_superpipe", "solver": "pipe_flow_superpipe", "tool": "solve", "specimen": "Fully developed, smooth-wall, turbulent air flow in the Princeton Superpipe (129.36 mm bore), a mixing length with van Driest damping with nothing fitted (kappa 0.41, A+ 26): Darcy friction factor, centreline-to-bulk velocity ratio and the mean velocity profile, bulk Reynolds number 31,577 to 35,724,000, laminar, transitional and rough-wall flow refused by name; compared once with held-back Superpipe measurements of A. J. Smits' group: the friction line met (rms 1.38 percent, worst 2.69, against Prandtl-Karman's 2.17 rms) and the profile line met (1.59 percent), the centreline line missed at one of 21 profiles (2.99 percent low against 2 percent, the NSTAP profile at 81,330), so by the rule fixed beforehand the comparison failed; the friction factor falls below the measured one as the Reynolds number rises, 2.7 percent low at 35.7 million.", "base": "example_solve", "input": "parameters.temperature_k", "input_unit": "K", "whole_number_input": false, "base_value": 296.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 291.78999999999996, "inside_value_hex": "40723ca3d70a3d70", "outside_value": 291.7899999999999, "outside_value_hex": "40723ca3d70a3d6f", "width": 5.684341886080802e-14, "adjacent_64_bit_numbers": true, "stop_name": "TemperatureOutOfRange", "stop_sentence": "Physical Violation: temperature 291.7899999999999 K is outside 291.78999999999996..=300.13 K, the temperatures of the compared runs (TemperatureOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 16, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "64f55bc86ede5a69a2f8ace50bda5990186a5eeee815d8a659f05fdf98e68ce8", "outside_proof": null, "inside_receipt": "671c26d486c9756874838cbaa048196428ba26e2e887309efaf839bf0ffbc858", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:45:30Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"pipe_flow_superpipe\", \"parameters\": {\"bulk_reynolds_number\": 1000000.0, \"static_pressure_pa\": 1470000.0, \"temperature_k\": 291.78999999999996, \"wall_roughness_rms_um\": 0.15}}", "inside_answer": "{\"inputs\":{\"solver\":\"pipe_flow_superpipe\",\"parameters\":{\"bulk_reynolds_number\":1000000.0,\"static_pressure_pa\":1470000.0,\"temperature_k\":291.78999999999996,\"wall_roughness_rms_um\":0.15}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":16,\"result\":{\"darcy_friction_factor\":1.1752672853983081e-2,\"darcy_friction_factor_hex\":\"3f8811c90c6336c6\",\"centreline_to_bulk_velocity_ratio\":1.1523665018697433e0,\"centreline_to_bulk_velocity_ratio_hex\":\"3ff27017db689562\",\"friction_to_bulk_velocity_ratio\":3.832863298824894e-2,\"friction_to_bulk_velocity_ratio_hex\":\"3fa39fcf825ead4e\",\"karman_number\":1.9164316494124472e4,\"karman_number_hex\":\"40d2b7144170927f\",\"pressure_drop_per_m_over_bulk_dynamic_pressure\":9.085244939690075e-2,\"pressure_drop_per_m_over_bulk_dynamic_pressure_hex\":\"3fb7421b2aebd2b1\",\"profile_y_over_radius\":[3.0e-3,5.0e-3,7.0e-3,1.0e-2,1.5e-2,2.0e-2,3.0e-2,5.0e-2,7.0e-2,1.0e-1,1.5e-1,2.0e-1,3.0e-1,4.0e-1,5.0e-1,7.0e-1,8.5e-1,1.0e0],\"profile_y_over_radius_hex\":[\"3f689374bc6a7efa\",\"3f747ae147ae147b\",\"3f7cac083126e979\",\"3f847ae147ae147b\",\"3f8eb851eb851eb8\",\"3f947ae147ae147b\",\"3f9eb851eb851eb8\",\"3fa999999999999a\",\"3fb1eb851eb851ec\",\"3fb999999999999a\",\"3fc3333333333333\",\"3fc999999999999a\",\"3fd3333333333333\",\"3fd999999999999a\",\"3fe0000000000000\",\"3fe6666666666666\",\"3feb333333333333\",\"3ff0000000000000\"],\"profile_y_plus\":[5.749294948237342e1,9.582158247062236e1,1.3415021545887132e2,1.9164316494124472e2,2.8746474741186705e2,3.8328632988248944e2,5.749294948237341e2,9.582158247062237e2,1.3415021545887132e3,1.9164316494124473e3,2.8746474741186707e3,3.8328632988248946e3,5.7492949482373415e3,7.665726597649789e3,9.582158247062236e3,1.341502154588713e4,1.62896690200058e4,1.9164316494124472e4],\"profile_y_plus_hex\":[\"404cbf18f7f8afde\",\"4057f494cea4928e\",\"4060c4ce90a66697\",\"4067f494cea4928e\",\"4071f76f9afb6dea\",\"4077f494cea4928e\",\"4081f76f9afb6dea\",\"408df1ba024db732\",\"4094f60234d0003d\",\"409df1ba024db732\",\"40a6754b81ba4965\",\"40adf1ba024db732\",\"40b6754b81ba4965\",\"40bdf1ba024db732\",\"40c2b7144170927f\",\"40ca3382c204004b\",\"40cfd0d5a27292a4\",\"40d2b7144170927f\"],\"profile_u_plus\":[1.5121353280024046e1,1.6428314148541403e1,1.7254147659711606e1,1.81238239972314e1,1.9114961248980592e1,1.982124009630559e1,2.0822026509963486e1,2.209479419251925e1,2.29434721368728e1,2.385590259958172e1,2.4915596412911917e1,2.5687164512918226e1,2.681138620542176e1,2.7639460324522453e1,2.8297201264667954e1,2.92839185233417e1,2.979382844158812e1,3.0065421384139732e1],\"profile_u_plus_hex\":[\"402e3e220461ee64\",\"40306da5fefc6640\",\"4031410fd22ed0f8\",\"40321fb2edf291a1\",\"40331d6e19b4add0\",\"4033d23cca7bcbe1\",\"4034d2705450bcfa\",\"403618446ea4b88d\",\"4036f18763d48e50\",\"4037db1c6ec9c3cf\",\"4038ea6486c9caa6\",\"4039afea0375f49f\",\"403acfb701a0b645\",\"403ba3b3abfce9da\",\"403c4c1561d01426\",\"403d48aee2647b31\",\"403dcb38573b4170\",\"403e10bf74b156d6\"],\"profile_u_over_bulk\":[5.79580800155696e-1,6.296748236151009e-1,6.613278931741405e-1,6.946613983335013e-1,7.326503342967777e-1,7.597210370232611e-1,7.980798121719804e-1,8.468632575559645e-1,8.793919230103132e-1,9.143641353427817e-1,9.549807505938327e-1,9.845539011244151e-1,1.027643781773811e0,1.059382730771889e0,1.0845930418680718e0,1.122412565538949e0,1.141956715652484e0,1.1523665018697433e0],\"profile_u_over_bulk_hex\":[\"3fe28bed08c1dcfd\",\"3fe4264bd0d1535e\",\"3fe529991d23b24d\",\"3fe63aaa8a745a40\",\"3fe771df1d26a8fb\",\"3fe84fa27e0323bb\",\"3fe989deac9c0c1d\",\"3feb1980f96c616c\",\"3fec23fa87b6445d\",\"3fed4278933dd793\",\"3fee8f33ca83857b\",\"3fef81772ecf5088\",\"3ff0713a9b2a801f\",\"3ff0f33b4e69cc8a\",\"3ff15a7e3bc4ae31\",\"3ff1f566e0d9bf75\",\"3ff2457467b2ccc2\",\"3ff27017db689562\"]},\"invariants\":{\"largest_imbalance\":4.170076282258262e-13,\"largest_imbalance_hex\":\"3d5d58243fa89d69\",\"flux_residual\":-2.220446049250313e-16,\"flux_residual_hex\":\"bcb0000000000000\",\"momentum_ledger_residual\":1.476024643525149e-16,\"momentum_ledger_residual_hex\":\"3ca54591dc6395eb\"},\"field_sha256\":\"82a57a6518894a5b709926eeb180eee2ce9f9df081e7f31fed8239272abdbba0\",\"seal_parts\":{\"inputs\":\"916c03eb8cf27e44e33136b88505792b11c2672906db81a4b03cb6ce9f03eb2b\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"9650c3b479cf935138551e5d5c3019ac5153125b46e307d22cb17c4d3c70b0f7\",\"invariants\":\"9cd3975dbf0c3eff67e19aa8994a3217d7c63539146de7488e7c87853fd23558\",\"field_sha256\":\"47640c634ccfd811e10be0eb7d6b1c00e5b9f04022137e27bf5f67b5db8d109a\",\"outcome\":\"498ca04e266a7eb45470bfefd8c2486b73fd9a9e2d4d4ee717bf8eb48d4d597d\"},\"solution_seal\":\"64f55bc86ede5a69a2f8ace50bda5990186a5eeee815d8a659f05fdf98e68ce8\",\"receipt_sha256\":\"671c26d486c9756874838cbaa048196428ba26e2e887309efaf839bf0ffbc858\"}", "outside_request": "{\"solver\": \"pipe_flow_superpipe\", \"parameters\": {\"bulk_reynolds_number\": 1000000.0, \"static_pressure_pa\": 1470000.0, \"temperature_k\": 291.7899999999999, \"wall_roughness_rms_um\": 0.15}}", "outside_answer": "Physical Violation: temperature 291.7899999999999 K is outside 291.78999999999996..=300.13 K, the temperatures of the compared runs (TemperatureOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-475c8f8331d4", "model": "pipe_flow_superpipe", "solver": "pipe_flow_superpipe", "tool": "solve", "specimen": "Fully developed, smooth-wall, turbulent air flow in the Princeton Superpipe (129.36 mm bore), a mixing length with van Driest damping with nothing fitted (kappa 0.41, A+ 26): Darcy friction factor, centreline-to-bulk velocity ratio and the mean velocity profile, bulk Reynolds number 31,577 to 35,724,000, laminar, transitional and rough-wall flow refused by name; compared once with held-back Superpipe measurements of A. J. Smits' group: the friction line met (rms 1.38 percent, worst 2.69, against Prandtl-Karman's 2.17 rms) and the profile line met (1.59 percent), the centreline line missed at one of 21 profiles (2.99 percent low against 2 percent, the NSTAP profile at 81,330), so by the rule fixed beforehand the comparison failed; the friction factor falls below the measured one as the Reynolds number rises, 2.7 percent low at 35.7 million.", "base": "example_solve", "input": "parameters.temperature_k", "input_unit": "K", "whole_number_input": false, "base_value": 296.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 300.13, "inside_value_hex": "4072c2147ae147ae", "outside_value": 300.13000000000005, "outside_value_hex": "4072c2147ae147af", "width": 5.684341886080802e-14, "adjacent_64_bit_numbers": true, "stop_name": "TemperatureOutOfRange", "stop_sentence": "Physical Violation: temperature 300.13000000000005 K is outside 291.78999999999996..=300.13 K, the temperatures of the compared runs (TemperatureOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 16, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "61d5c83bf92fabaf72c522fc3a2dd7bfbce11cabe97e3089a5277f62bbc13a76", "outside_proof": null, "inside_receipt": "3dd69f6f28adf147e600638e341113c53c3c0e41a18af9951e52272ccf31c01b", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:45:32Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"pipe_flow_superpipe\", \"parameters\": {\"bulk_reynolds_number\": 1000000.0, \"static_pressure_pa\": 1470000.0, \"temperature_k\": 300.13, \"wall_roughness_rms_um\": 0.15}}", "inside_answer": "{\"inputs\":{\"solver\":\"pipe_flow_superpipe\",\"parameters\":{\"bulk_reynolds_number\":1000000.0,\"static_pressure_pa\":1470000.0,\"temperature_k\":300.13,\"wall_roughness_rms_um\":0.15}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":16,\"result\":{\"darcy_friction_factor\":1.1752672853983081e-2,\"darcy_friction_factor_hex\":\"3f8811c90c6336c6\",\"centreline_to_bulk_velocity_ratio\":1.1523665018697433e0,\"centreline_to_bulk_velocity_ratio_hex\":\"3ff27017db689562\",\"friction_to_bulk_velocity_ratio\":3.832863298824894e-2,\"friction_to_bulk_velocity_ratio_hex\":\"3fa39fcf825ead4e\",\"karman_number\":1.9164316494124472e4,\"karman_number_hex\":\"40d2b7144170927f\",\"pressure_drop_per_m_over_bulk_dynamic_pressure\":9.085244939690075e-2,\"pressure_drop_per_m_over_bulk_dynamic_pressure_hex\":\"3fb7421b2aebd2b1\",\"profile_y_over_radius\":[3.0e-3,5.0e-3,7.0e-3,1.0e-2,1.5e-2,2.0e-2,3.0e-2,5.0e-2,7.0e-2,1.0e-1,1.5e-1,2.0e-1,3.0e-1,4.0e-1,5.0e-1,7.0e-1,8.5e-1,1.0e0],\"profile_y_over_radius_hex\":[\"3f689374bc6a7efa\",\"3f747ae147ae147b\",\"3f7cac083126e979\",\"3f847ae147ae147b\",\"3f8eb851eb851eb8\",\"3f947ae147ae147b\",\"3f9eb851eb851eb8\",\"3fa999999999999a\",\"3fb1eb851eb851ec\",\"3fb999999999999a\",\"3fc3333333333333\",\"3fc999999999999a\",\"3fd3333333333333\",\"3fd999999999999a\",\"3fe0000000000000\",\"3fe6666666666666\",\"3feb333333333333\",\"3ff0000000000000\"],\"profile_y_plus\":[5.749294948237342e1,9.582158247062236e1,1.3415021545887132e2,1.9164316494124472e2,2.8746474741186705e2,3.8328632988248944e2,5.749294948237341e2,9.582158247062237e2,1.3415021545887132e3,1.9164316494124473e3,2.8746474741186707e3,3.8328632988248946e3,5.7492949482373415e3,7.665726597649789e3,9.582158247062236e3,1.341502154588713e4,1.62896690200058e4,1.9164316494124472e4],\"profile_y_plus_hex\":[\"404cbf18f7f8afde\",\"4057f494cea4928e\",\"4060c4ce90a66697\",\"4067f494cea4928e\",\"4071f76f9afb6dea\",\"4077f494cea4928e\",\"4081f76f9afb6dea\",\"408df1ba024db732\",\"4094f60234d0003d\",\"409df1ba024db732\",\"40a6754b81ba4965\",\"40adf1ba024db732\",\"40b6754b81ba4965\",\"40bdf1ba024db732\",\"40c2b7144170927f\",\"40ca3382c204004b\",\"40cfd0d5a27292a4\",\"40d2b7144170927f\"],\"profile_u_plus\":[1.5121353280024046e1,1.6428314148541403e1,1.7254147659711606e1,1.81238239972314e1,1.9114961248980592e1,1.982124009630559e1,2.0822026509963486e1,2.209479419251925e1,2.29434721368728e1,2.385590259958172e1,2.4915596412911917e1,2.5687164512918226e1,2.681138620542176e1,2.7639460324522453e1,2.8297201264667954e1,2.92839185233417e1,2.979382844158812e1,3.0065421384139732e1],\"profile_u_plus_hex\":[\"402e3e220461ee64\",\"40306da5fefc6640\",\"4031410fd22ed0f8\",\"40321fb2edf291a1\",\"40331d6e19b4add0\",\"4033d23cca7bcbe1\",\"4034d2705450bcfa\",\"403618446ea4b88d\",\"4036f18763d48e50\",\"4037db1c6ec9c3cf\",\"4038ea6486c9caa6\",\"4039afea0375f49f\",\"403acfb701a0b645\",\"403ba3b3abfce9da\",\"403c4c1561d01426\",\"403d48aee2647b31\",\"403dcb38573b4170\",\"403e10bf74b156d6\"],\"profile_u_over_bulk\":[5.79580800155696e-1,6.296748236151009e-1,6.613278931741405e-1,6.946613983335013e-1,7.326503342967777e-1,7.597210370232611e-1,7.980798121719804e-1,8.468632575559645e-1,8.793919230103132e-1,9.143641353427817e-1,9.549807505938327e-1,9.845539011244151e-1,1.027643781773811e0,1.059382730771889e0,1.0845930418680718e0,1.122412565538949e0,1.141956715652484e0,1.1523665018697433e0],\"profile_u_over_bulk_hex\":[\"3fe28bed08c1dcfd\",\"3fe4264bd0d1535e\",\"3fe529991d23b24d\",\"3fe63aaa8a745a40\",\"3fe771df1d26a8fb\",\"3fe84fa27e0323bb\",\"3fe989deac9c0c1d\",\"3feb1980f96c616c\",\"3fec23fa87b6445d\",\"3fed4278933dd793\",\"3fee8f33ca83857b\",\"3fef81772ecf5088\",\"3ff0713a9b2a801f\",\"3ff0f33b4e69cc8a\",\"3ff15a7e3bc4ae31\",\"3ff1f566e0d9bf75\",\"3ff2457467b2ccc2\",\"3ff27017db689562\"]},\"invariants\":{\"largest_imbalance\":4.170076282258262e-13,\"largest_imbalance_hex\":\"3d5d58243fa89d69\",\"flux_residual\":-2.220446049250313e-16,\"flux_residual_hex\":\"bcb0000000000000\",\"momentum_ledger_residual\":1.476024643525149e-16,\"momentum_ledger_residual_hex\":\"3ca54591dc6395eb\"},\"field_sha256\":\"82a57a6518894a5b709926eeb180eee2ce9f9df081e7f31fed8239272abdbba0\",\"seal_parts\":{\"inputs\":\"a881e52155b736749f1d5e5b504131396917b497ff45b3ff1878142654dbafce\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"9650c3b479cf935138551e5d5c3019ac5153125b46e307d22cb17c4d3c70b0f7\",\"invariants\":\"9cd3975dbf0c3eff67e19aa8994a3217d7c63539146de7488e7c87853fd23558\",\"field_sha256\":\"47640c634ccfd811e10be0eb7d6b1c00e5b9f04022137e27bf5f67b5db8d109a\",\"outcome\":\"498ca04e266a7eb45470bfefd8c2486b73fd9a9e2d4d4ee717bf8eb48d4d597d\"},\"solution_seal\":\"61d5c83bf92fabaf72c522fc3a2dd7bfbce11cabe97e3089a5277f62bbc13a76\",\"receipt_sha256\":\"3dd69f6f28adf147e600638e341113c53c3c0e41a18af9951e52272ccf31c01b\"}", "outside_request": "{\"solver\": \"pipe_flow_superpipe\", \"parameters\": {\"bulk_reynolds_number\": 1000000.0, \"static_pressure_pa\": 1470000.0, \"temperature_k\": 300.13000000000005, \"wall_roughness_rms_um\": 0.15}}", "outside_answer": "Physical Violation: temperature 300.13000000000005 K is outside 291.78999999999996..=300.13 K, the temperatures of the compared runs (TemperatureOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-3a579710255c", "model": "pipe_flow_superpipe", "solver": "pipe_flow_superpipe", "tool": "solve", "specimen": "Fully developed, smooth-wall, turbulent air flow in the Princeton Superpipe (129.36 mm bore), a mixing length with van Driest damping with nothing fitted (kappa 0.41, A+ 26): Darcy friction factor, centreline-to-bulk velocity ratio and the mean velocity profile, bulk Reynolds number 31,577 to 35,724,000, laminar, transitional and rough-wall flow refused by name; compared once with held-back Superpipe measurements of A. J. Smits' group: the friction line met (rms 1.38 percent, worst 2.69, against Prandtl-Karman's 2.17 rms) and the profile line met (1.59 percent), the centreline line missed at one of 21 profiles (2.99 percent low against 2 percent, the NSTAP profile at 81,330), so by the rule fixed beforehand the comparison failed; the friction factor falls below the measured one as the Reynolds number rises, 2.7 percent low at 35.7 million.", "base": "example_solve", "input": "parameters.wall_roughness_rms_um", "input_unit": "um", "whole_number_input": false, "base_value": 0.15, "edge_kind": "declared_limit", "direction": "up", "inside_value": 0.15, "inside_value_hex": "3fc3333333333333", "outside_value": 0.15000000000000002, "outside_value_hex": "3fc3333333333334", "width": 2.7755575615628914e-17, "adjacent_64_bit_numbers": true, "stop_name": "RoughWall", "stop_sentence": "Physical Violation: wall roughness 0.15000000000000002 um rms is above the Superpipe's smooth wall, 0.15 um: a rough-wall flow, which this solver is not of (RoughWall).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 16, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "8f521c30546805f9007f4511c820abd279ee141f56087a3a0a0de4323178250b", "outside_proof": null, "inside_receipt": "33089b61c08a6c10a368a3acbef0de69f753de6ee0a0a0e7f440f248989f824b", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:45:34Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"pipe_flow_superpipe\", \"parameters\": {\"bulk_reynolds_number\": 1000000.0, \"static_pressure_pa\": 1470000.0, \"temperature_k\": 296.0, \"wall_roughness_rms_um\": 0.15}}", "inside_answer": "{\"inputs\":{\"solver\":\"pipe_flow_superpipe\",\"parameters\":{\"bulk_reynolds_number\":1000000.0,\"static_pressure_pa\":1470000.0,\"temperature_k\":296.0,\"wall_roughness_rms_um\":0.15}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":16,\"result\":{\"darcy_friction_factor\":1.1752672853983081e-2,\"darcy_friction_factor_hex\":\"3f8811c90c6336c6\",\"centreline_to_bulk_velocity_ratio\":1.1523665018697433e0,\"centreline_to_bulk_velocity_ratio_hex\":\"3ff27017db689562\",\"friction_to_bulk_velocity_ratio\":3.832863298824894e-2,\"friction_to_bulk_velocity_ratio_hex\":\"3fa39fcf825ead4e\",\"karman_number\":1.9164316494124472e4,\"karman_number_hex\":\"40d2b7144170927f\",\"pressure_drop_per_m_over_bulk_dynamic_pressure\":9.085244939690075e-2,\"pressure_drop_per_m_over_bulk_dynamic_pressure_hex\":\"3fb7421b2aebd2b1\",\"profile_y_over_radius\":[3.0e-3,5.0e-3,7.0e-3,1.0e-2,1.5e-2,2.0e-2,3.0e-2,5.0e-2,7.0e-2,1.0e-1,1.5e-1,2.0e-1,3.0e-1,4.0e-1,5.0e-1,7.0e-1,8.5e-1,1.0e0],\"profile_y_over_radius_hex\":[\"3f689374bc6a7efa\",\"3f747ae147ae147b\",\"3f7cac083126e979\",\"3f847ae147ae147b\",\"3f8eb851eb851eb8\",\"3f947ae147ae147b\",\"3f9eb851eb851eb8\",\"3fa999999999999a\",\"3fb1eb851eb851ec\",\"3fb999999999999a\",\"3fc3333333333333\",\"3fc999999999999a\",\"3fd3333333333333\",\"3fd999999999999a\",\"3fe0000000000000\",\"3fe6666666666666\",\"3feb333333333333\",\"3ff0000000000000\"],\"profile_y_plus\":[5.749294948237342e1,9.582158247062236e1,1.3415021545887132e2,1.9164316494124472e2,2.8746474741186705e2,3.8328632988248944e2,5.749294948237341e2,9.582158247062237e2,1.3415021545887132e3,1.9164316494124473e3,2.8746474741186707e3,3.8328632988248946e3,5.7492949482373415e3,7.665726597649789e3,9.582158247062236e3,1.341502154588713e4,1.62896690200058e4,1.9164316494124472e4],\"profile_y_plus_hex\":[\"404cbf18f7f8afde\",\"4057f494cea4928e\",\"4060c4ce90a66697\",\"4067f494cea4928e\",\"4071f76f9afb6dea\",\"4077f494cea4928e\",\"4081f76f9afb6dea\",\"408df1ba024db732\",\"4094f60234d0003d\",\"409df1ba024db732\",\"40a6754b81ba4965\",\"40adf1ba024db732\",\"40b6754b81ba4965\",\"40bdf1ba024db732\",\"40c2b7144170927f\",\"40ca3382c204004b\",\"40cfd0d5a27292a4\",\"40d2b7144170927f\"],\"profile_u_plus\":[1.5121353280024046e1,1.6428314148541403e1,1.7254147659711606e1,1.81238239972314e1,1.9114961248980592e1,1.982124009630559e1,2.0822026509963486e1,2.209479419251925e1,2.29434721368728e1,2.385590259958172e1,2.4915596412911917e1,2.5687164512918226e1,2.681138620542176e1,2.7639460324522453e1,2.8297201264667954e1,2.92839185233417e1,2.979382844158812e1,3.0065421384139732e1],\"profile_u_plus_hex\":[\"402e3e220461ee64\",\"40306da5fefc6640\",\"4031410fd22ed0f8\",\"40321fb2edf291a1\",\"40331d6e19b4add0\",\"4033d23cca7bcbe1\",\"4034d2705450bcfa\",\"403618446ea4b88d\",\"4036f18763d48e50\",\"4037db1c6ec9c3cf\",\"4038ea6486c9caa6\",\"4039afea0375f49f\",\"403acfb701a0b645\",\"403ba3b3abfce9da\",\"403c4c1561d01426\",\"403d48aee2647b31\",\"403dcb38573b4170\",\"403e10bf74b156d6\"],\"profile_u_over_bulk\":[5.79580800155696e-1,6.296748236151009e-1,6.613278931741405e-1,6.946613983335013e-1,7.326503342967777e-1,7.597210370232611e-1,7.980798121719804e-1,8.468632575559645e-1,8.793919230103132e-1,9.143641353427817e-1,9.549807505938327e-1,9.845539011244151e-1,1.027643781773811e0,1.059382730771889e0,1.0845930418680718e0,1.122412565538949e0,1.141956715652484e0,1.1523665018697433e0],\"profile_u_over_bulk_hex\":[\"3fe28bed08c1dcfd\",\"3fe4264bd0d1535e\",\"3fe529991d23b24d\",\"3fe63aaa8a745a40\",\"3fe771df1d26a8fb\",\"3fe84fa27e0323bb\",\"3fe989deac9c0c1d\",\"3feb1980f96c616c\",\"3fec23fa87b6445d\",\"3fed4278933dd793\",\"3fee8f33ca83857b\",\"3fef81772ecf5088\",\"3ff0713a9b2a801f\",\"3ff0f33b4e69cc8a\",\"3ff15a7e3bc4ae31\",\"3ff1f566e0d9bf75\",\"3ff2457467b2ccc2\",\"3ff27017db689562\"]},\"invariants\":{\"largest_imbalance\":4.170076282258262e-13,\"largest_imbalance_hex\":\"3d5d58243fa89d69\",\"flux_residual\":-2.220446049250313e-16,\"flux_residual_hex\":\"bcb0000000000000\",\"momentum_ledger_residual\":1.476024643525149e-16,\"momentum_ledger_residual_hex\":\"3ca54591dc6395eb\"},\"field_sha256\":\"82a57a6518894a5b709926eeb180eee2ce9f9df081e7f31fed8239272abdbba0\",\"seal_parts\":{\"inputs\":\"6b7ffc7f1c89700f8213f4632c1e32cb5a17ab4d5781bcbdd5a661514388d10c\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"9650c3b479cf935138551e5d5c3019ac5153125b46e307d22cb17c4d3c70b0f7\",\"invariants\":\"9cd3975dbf0c3eff67e19aa8994a3217d7c63539146de7488e7c87853fd23558\",\"field_sha256\":\"47640c634ccfd811e10be0eb7d6b1c00e5b9f04022137e27bf5f67b5db8d109a\",\"outcome\":\"498ca04e266a7eb45470bfefd8c2486b73fd9a9e2d4d4ee717bf8eb48d4d597d\"},\"solution_seal\":\"8f521c30546805f9007f4511c820abd279ee141f56087a3a0a0de4323178250b\",\"receipt_sha256\":\"33089b61c08a6c10a368a3acbef0de69f753de6ee0a0a0e7f440f248989f824b\"}", "outside_request": "{\"solver\": \"pipe_flow_superpipe\", \"parameters\": {\"bulk_reynolds_number\": 1000000.0, \"static_pressure_pa\": 1470000.0, \"temperature_k\": 296.0, \"wall_roughness_rms_um\": 0.15000000000000002}}", "outside_answer": "Physical Violation: wall roughness 0.15000000000000002 um rms is above the Superpipe's smooth wall, 0.15 um: a rough-wall flow, which this solver is not of (RoughWall).", "outside_answer_is_error": true}
{"id": "edge-e8afec102be4", "model": "propeller_apc_10x7e", "solver": "propeller_apc_10x7e", "tool": "solve", "specimen": "Thrust and shaft power of the APC Thin Electric 10x7 propeller at one rotational speed, airspeed and air density, by blade-element momentum theory on its measured blade geometry, with two blade-section constants fitted to this propeller's own measured thrust and power; on the measurements held back from the fit it missed both of its lines, by up to 10.2 percent of full scale at speeds never fitted and 11.8 at rest.", "base": "example_solve", "input": "parameters.rotational_speed_rev_per_min", "input_unit": "rev/min", "whole_number_input": false, "base_value": 5000.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 4007.0, "inside_value_hex": "40af4e0000000000", "outside_value": 4006.9999999999995, "outside_value_hex": "40af4dffffffffff", "width": 4.547473508864641e-13, "adjacent_64_bit_numbers": true, "stop_name": "RotationalSpeedOutOfRange", "stop_sentence": "Physical Violation: rotational speed 4006.9999999999995 rev/min is outside 4007..=6531 rev/min, the speeds compared with measurement with the air moving (RotationalSpeedOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 1326, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "2c8d1cd036586f6e384077be9da484ad6a1dab9123e89fd4d3590833f84ef3e1", "outside_proof": null, "inside_receipt": "48d3b95f172e0ed0587ecccbacb1af897798eb9607aa2babc572c1b9a07dafaf", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:45:36Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"propeller_apc_10x7e\", \"parameters\": {\"rotational_speed_rev_per_min\": 4007.0, \"airspeed_m_s\": 8.0, \"air_density_kg_m3\": 1.225}}", "inside_answer": "{\"inputs\":{\"solver\":\"propeller_apc_10x7e\",\"parameters\":{\"rotational_speed_rev_per_min\":4007.0,\"airspeed_m_s\":8.0,\"air_density_kg_m3\":1.225}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":1326,\"result\":{\"advance_ratio\":4.716156175511752e-1,\"advance_ratio_hex\":\"3fde2ef3456a91ac\",\"thrust_coefficient\":6.523473238680598e-2,\"thrust_coefficient_hex\":\"3fb0b339322a2617\",\"power_coefficient\":4.606578922272616e-2,\"power_coefficient_hex\":\"3fa795ef645a21ab\",\"thrust_n\":1.4834947864770305e0,\"thrust_n_hex\":\"3ff7bc65077b491c\",\"torque_n_m\":4.2348643497012436e-2,\"torque_n_m_hex\":\"3fa5aeb8adb302e6\",\"shaft_power_w\":1.7770001483664256e1,\"shaft_power_w_hex\":\"4031c51ed136359f\",\"efficiency\":6.678647890224607e-1,\"efficiency_hex\":\"3fe55f25fa600b8a\",\"ring_inflow_angle_rad\":[7.450514287948768e-1,7.269531790348427e-1,6.980129549373095e-1,6.602581470785911e-1,6.207020666237193e-1,5.786017446693963e-1,5.410650111291275e-1,5.075856753832753e-1,4.7770521179716674e-1,4.5106988789471403e-1,4.2712142360615724e-1,4.056361262921312e-1,3.8609353744118424e-1,3.6832499557486187e-1,3.51807847214329e-1,3.364292097094045e-1,3.2215331407579284e-1,3.0889070144428576e-1,2.9653834942731816e-1,2.8503038649889356e-1,2.741051922526494e-1,2.637129254271263e-1,2.539616808471177e-1,2.448169562293077e-1,2.3637365191805024e-1,2.285919482145859e-1,2.2100226441962262e-1,2.1363090554422123e-1,2.0714244458545256e-1,2.015890836372659e-1,1.958723100880435e-1,1.901773974150243e-1,1.8581606784375607e-1,1.8682589582173662e-1],\"ring_inflow_angle_rad_hex\":[\"3fe7d776181062de\",\"3fe743335035b136\",\"3fe6561f43b47b6c\",\"3fe520d5b193d7ea\",\"3fe3dcca9496abee\",\"3fe283e7ce586f68\",\"3fe1506791f9e740\",\"3fe03e2450760e40\",\"3fde92b8e1730ba0\",\"3fdcde543c2df6b6\",\"3fdb55f51873cd56\",\"3fd9f5f13a200d96\",\"3fd8b5c1ab207008\",\"3fd792a30092c6ae\",\"3fd684050f90bfd2\",\"3fd5880e6147bec2\",\"3fd49e28ef103a1c\",\"3fd3c4dd812f7822\",\"3fd2fa7bfc3335b0\",\"3fd23df017184156\",\"3fd18af08118e418\",\"3fd0e0ac2d8f7cd6\",\"3fd040e87e6b3c60\",\"3fcf56297a416d09\",\"3fce417de84fe2f3\",\"3fcd42803edaf406\",\"3fcc49cd5d0319c2\",\"3fcb5841ec5d1803\",\"3fca83a4c48dd34e\",\"3fc9cdabccb9f0f4\",\"3fc9125807029338\",\"3fc857bba32aff91\",\"3fc7c8d2273ae975\",\"3fc7e9e9344cd561\"],\"ring_thrust_n\":[-2.3086858138629006e-4,4.6154131715071675e-3,9.83733938060035e-3,1.4692012675272786e-2,1.9263091378730224e-2,2.2637450792334483e-2,2.5978135510700804e-2,2.928135961067065e-2,3.256370527569152e-2,3.5885153981437025e-2,3.919232851652761e-2,4.256537323042004e-2,4.587264480894154e-2,4.915679398956395e-2,5.214005831896015e-2,5.480173698540665e-2,5.719353652740428e-2,5.93199978401782e-2,6.115771795229219e-2,6.271536374131427e-2,6.371876988662294e-2,6.413153131594923e-2,6.415561540270455e-2,6.380026829388176e-2,6.328338845342994e-2,6.259832447602585e-2,6.094461693545271e-2,5.833904216848719e-2,5.592449844191709e-2,5.3661824540084106e-2,4.939744944435192e-2,4.3120173720448886e-2,3.5743547227498444e-2,2.6037391063608126e-2],\"ring_thrust_n_hex\":[\"bf2e42aa0371db3b\",\"3f72e79c8a11008f\",\"3f842599575aca6c\",\"3f8e16d88f9f2890\",\"3f93b9b42df74d50\",\"3f972e459b4583e1\",\"3f9a9a0329b7d319\",\"3f9dfbeec7a41775\",\"3fa0ac30a2642fdf\",\"3fa25f89f5863e95\",\"3fa41104527713fa\",\"3fa5cb20ebeef1b9\",\"3fa77c9e8a788a08\",\"3fa92b144d1f6e0e\",\"3faab21a0a953b1c\",\"3fac0ef9283b8daa\",\"3fad4878a1db0659\",\"3fae5f30d571d8a5\",\"3faf50107d0194a0\",\"3fb00e1d3439c6c1\",\"3fb04fdf90cdecd7\",\"3fb06aec8da4f784\",\"3fb06c809e026611\",\"3fb05536e1cc59f9\",\"3fb0335713c99c97\",\"3fb006719c68af77\",\"3faf34220135c4ce\",\"3fadde9d6c6321d2\",\"3faca222c7b4db76\",\"3fab79900ae2fef7\",\"3fa94a9f5bbd1587\",\"3fa613d8efdab595\",\"3fa24cfa6cc530b7\",\"3f9aa98bbc5d8d5c\"],\"ring_torque_n_m\":[2.955011923715734e-6,1.1036436640857627e-4,2.453498970337595e-4,3.78559804300536e-4,5.058938244549923e-4,5.967955341563162e-4,6.875971743073888e-4,7.784168009267752e-4,8.699865556260167e-4,9.64260035710083e-4,1.0595549054324396e-3,1.1582645334373167e-3,1.256505364633542e-3,1.355555508145811e-3,1.446747028596995e-3,1.529292929729076e-3,1.604735231746816e-3,1.6730413349070096e-3,1.7336929596492876e-3,1.7868722415727626e-3,1.823655224306836e-3,1.842708593948344e-3,1.8508346033509803e-3,1.8482869217508711e-3,1.8411311060892188e-3,1.8289741478939598e-3,1.788859164078093e-3,1.721675975459355e-3,1.66148659865161e-3,1.6074979777160596e-3,1.492877645246296e-3,1.3178630457466767e-3,1.114981586142944e-3,8.633698639319767e-4],\"ring_torque_n_m_hex\":[\"3ec8c9d6fc342c24\",\"3f1cee6d60a22947\",\"3f301449c8a98a10\",\"3f38cf2dfaa31578\",\"3f4093beb734444f\",\"3f438e48a69ad618\",\"3f4687fbb0303e19\",\"3f4981d559f00611\",\"3f4c81f9e6f5b55c\",\"3f4f98cca8bb4187\",\"3f515c186ab29077\",\"3f52fa1d12a3830b\",\"3f54962a5cb1c299\",\"3f56359ca4d355fe\",\"3f57b418cb192332\",\"3f590e51c7a0d0ce\",\"3f5a4abf55b3ad11\",\"3f5b693e745eba95\",\"3f5c67a2a4082d89\",\"3f5d46af75bd671b\",\"3f5de0f6e30b821a\",\"3f5e30e1496988b1\",\"3f5e52f685de5f94\",\"3f5e4846f87b9bf0\",\"3f5e2a4378d9ee8a\",\"3f5df74609a0b608\",\"3f5d4f04e6d6e196\",\"3f5c353b8091edf2\",\"3f5b38c7a6a721db\",\"3f5a5655cf88037d\",\"3f5875952a72e3d9\",\"3f559784aba75852\",\"3f5244925cae194f\",\"3f4c4a78aa3b77bb\"]},\"invariants\":{\"thrust_balance_gap\":2.95167465108171e-14,\"thrust_balance_gap_hex\":\"3d209dcfbccfe4c4\",\"worst_ring_balance_gap\":6.922874364712247e-13,\"worst_ring_balance_gap_hex\":\"3d685b9225501c59\"},\"field_sha256\":\"c3caac5a6c54a44a08fac9cd5aca939c69ccb9bb1f74c28a681be6a1d46f56ed\",\"seal_parts\":{\"inputs\":\"189c67832ed18cc32da0a28b65416504408050ca45b9860d65c66bdca7f38812\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"b5c108dfdbed926192e9fee7ed11628ec6fc2edf6580906ff818c24fedb010b9\",\"invariants\":\"9a5b02c3c3760d4d1ed3d1f1779d98b6991a6572b9a1dc196bcff91f514a211a\",\"field_sha256\":\"6d1c58a430876d8e95db8a29bb55092f0aac98b24e32f9be258457e2668608ec\",\"outcome\":\"4c80b494a07551b73d321708e135cd721afa800a7693e3f3b8349ae85959540e\"},\"solution_seal\":\"2c8d1cd036586f6e384077be9da484ad6a1dab9123e89fd4d3590833f84ef3e1\",\"receipt_sha256\":\"48d3b95f172e0ed0587ecccbacb1af897798eb9607aa2babc572c1b9a07dafaf\"}", "outside_request": "{\"solver\": \"propeller_apc_10x7e\", \"parameters\": {\"rotational_speed_rev_per_min\": 4006.9999999999995, \"airspeed_m_s\": 8.0, \"air_density_kg_m3\": 1.225}}", "outside_answer": "Physical Violation: rotational speed 4006.9999999999995 rev/min is outside 4007..=6531 rev/min, the speeds compared with measurement with the air moving (RotationalSpeedOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-88820145d6fe", "model": "propeller_apc_10x7e", "solver": "propeller_apc_10x7e", "tool": "solve", "specimen": "Thrust and shaft power of the APC Thin Electric 10x7 propeller at one rotational speed, airspeed and air density, by blade-element momentum theory on its measured blade geometry, with two blade-section constants fitted to this propeller's own measured thrust and power; on the measurements held back from the fit it missed both of its lines, by up to 10.2 percent of full scale at speeds never fitted and 11.8 at rest.", "base": "example_solve", "input": "parameters.rotational_speed_rev_per_min", "input_unit": "rev/min", "whole_number_input": false, "base_value": 5000.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 6531.0, "inside_value_hex": "40b9830000000000", "outside_value": 6531.000000000001, "outside_value_hex": "40b9830000000001", "width": 9.094947017729282e-13, "adjacent_64_bit_numbers": true, "stop_name": "RotationalSpeedOutOfRange", "stop_sentence": "Physical Violation: rotational speed 6531.000000000001 rev/min is outside 4007..=6531 rev/min, the speeds compared with measurement with the air moving (RotationalSpeedOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 1326, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "71818a73a1ccde17568c9daf85a226abbb86514920fcc83debfce016e70ebf04", "outside_proof": null, "inside_receipt": "c424a5291d907f37eb42228dfcb1530f28750c1033e682a108bb22f242871f81", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:45:38Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"propeller_apc_10x7e\", \"parameters\": {\"rotational_speed_rev_per_min\": 6531.0, \"airspeed_m_s\": 8.0, \"air_density_kg_m3\": 1.225}}", "inside_answer": "{\"inputs\":{\"solver\":\"propeller_apc_10x7e\",\"parameters\":{\"rotational_speed_rev_per_min\":6531.0,\"airspeed_m_s\":8.0,\"air_density_kg_m3\":1.225}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":1326,\"result\":{\"advance_ratio\":2.893528984118143e-1,\"advance_ratio_hex\":\"3fd284c204eb9e8f\",\"thrust_coefficient\":9.14463886781554e-2,\"thrust_coefficient_hex\":\"3fb76907d0b5c163\",\"power_coefficient\":5.2735879899058e-2,\"power_coefficient_hex\":\"3fab00327efc069b\",\"thrust_n\":5.524517852063917e0,\"thrust_n_hex\":\"4016191b35332179\",\"torque_n_m\":1.2879169734885856e-1,\"torque_n_m_hex\":\"3fc07c3f100e09e9\",\"shaft_power_w\":8.808382563605807e1,\"shaft_power_w_hex\":\"4056055d66335be4\",\"efficiency\":5.017509457311669e-1,\"efficiency_hex\":\"3fe00e57ffd4e0ba\",\"ring_inflow_angle_rad\":[6.136516116771906e-1,5.918224940131076e-1,5.444875025191491e-1,5.073532242227767e-1,4.762459363943208e-1,4.497490418424954e-1,4.2638151241188216e-1,4.054127414045363e-1,3.866941956588875e-1,3.6978044769990626e-1,3.539977336559875e-1,3.3920875110588133e-1,3.232932894577044e-1,3.080804372275332e-1,2.938261891564753e-1,2.804451860594277e-1,2.6794804244214854e-1,2.5626370019140265e-1,2.4535083900216353e-1,2.351561840602213e-1,2.2538240079188915e-1,2.1598787830784202e-1,2.0715944580807602e-1,1.9887217886570768e-1,1.9120828942964516e-1,1.8413788242580734e-1,1.7724698986710413e-1,1.7058107867784145e-1,1.648492761134136e-1,1.6015315003249309e-1,1.552437603662557e-1,1.504116132403716e-1,1.475056655152385e-1,1.5273361003346245e-1],\"ring_inflow_angle_rad_hex\":[\"3fe3a308b46951b8\",\"3fe2f035ba1a59ba\",\"3fe16c710e0cd098\",\"3fe03c3cd431d2ca\",\"3fde7ad03c6aa800\",\"3fdcc8b03487bc10\",\"3fdb49d5aedb6534\",\"3fd9f248486db544\",\"3fd8bf9902fa1bce\",\"3fd7aa7b9c6490c4\",\"3fd6a7e61c3a4706\",\"3fd5b5989f2112aa\",\"3fd4b0d6564f2cae\",\"3fd3b797029b7f28\",\"3fd2ce0c5c48a9ec\",\"3fd1f2d05d9c8940\",\"3fd1260f8bd43d68\",\"3fd0669fdcde5666\",\"3fcf67a802c7bcf2\",\"3fce19990bfed2c3\",\"3fccd9549c3f605e\",\"3fcba57da4d511eb\",\"3fca84336266ce4d\",\"3fc974a4c027ff3e\",\"3fc8798362e986df\",\"3fc791d4837c9cd1\",\"3fc6b00784659682\",\"3fc5d599cd1e6e00\",\"3fc519c7f4d693cc\",\"3fc47fe5feded718\",\"3fc3df070cd72f3e\",\"3fc340b00fe72ae6\",\"3fc2e17734ae6bc9\",\"3fc38cc6620bffa1\"],\"ring_thrust_n\":[1.169085822598114e-2,2.2749781228081495e-2,2.9306499299733904e-2,3.814773046878329e-2,4.89794525690574e-2,6.210932784148459e-2,7.658718930830385e-2,9.213478077625399e-2,1.0883749525793145e-1,1.2648535624775933e-1,1.4390603446402103e-1,1.6136315686940475e-1,1.7508662517096873e-1,1.873314402243387e-1,1.9851282973547182e-1,2.0851492395745472e-1,2.1746610953953519e-1,2.2532620167206852e-1,2.3212906585354603e-1,2.3786928732221302e-1,2.4165379174348262e-1,2.4332101491303812e-1,2.4359839456981186e-1,2.4248811059583955e-1,2.4041749211178365e-1,2.373250524705507e-1,2.3134332488710863e-1,2.224902760125335e-1,2.136762577851729e-1,2.0475373145327128e-1,1.8920898086715923e-1,1.6673625988377921e-1,1.3980572311685893e-1,1.0316529562113276e-1],\"ring_thrust_n_hex\":[\"3f87f1606df12cfb\",\"3f974bb7f9768b08\",\"3f9e0285e035ddd4\",\"3fa388196d8f6251\",\"3fa913d5b5eb9039\",\"3fafcccb37b620bf\",\"3fb39b37d15f296e\",\"3fb796251e42157d\",\"3fbbdcc62ab61c63\",\"3fc030ac1240e68b\",\"3fc26b834fdc2997\",\"3fc4a78c44c446d1\",\"3fc6693d1089c4e4\",\"3fc7fa7a04a357b1\",\"3fc968de4fc66f2d\",\"3fcab09df5900663\",\"3fcbd5edf23af6d1\",\"3fccd77d2d8e8508\",\"3fcdb667bd25609a\",\"3fce728034e2c820\",\"3fceee82ee3f0f3e\",\"3fcf25249cbd924b\",\"3fcf2e3b7104897e\",\"3fcf09d9b456c775\",\"3fcec6001900d350\",\"3fce60aad570f5bc\",\"3fcd9ca87744de50\",\"3fcc7a8fb5936fa5\",\"3fcb59be5d8f3ad6\",\"3fca355eca29b2b9\",\"3fc837fff8778b4d\",\"3fc5579d1fa10c52\",\"3fc1e527684a4f25\",\"3fba690a72c66249\"],\"ring_torque_n_m\":[1.8840426419056852e-4,4.0439971256208e-4,5.946162110148109e-4,8.323363710345855e-4,1.102477685640115e-3,1.3827286138326416e-3,1.6894079731408027e-3,2.018824077576145e-3,2.374206594475154e-3,2.7541258531334416e-3,3.191512701578642e-3,3.6401659446400835e-3,3.9857332309206515e-3,4.2933366604571e-3,4.575230962610395e-3,4.828012269554396e-3,5.0555311390556275e-3,5.256611913280218e-3,5.4325870986659565e-3,5.583490927444669e-3,5.683112957176504e-3,5.7270501055086635e-3,5.737676954670527e-3,5.7156387631872784e-3,5.673085320423711e-3,5.608682666370332e-3,5.472324520632641e-3,5.26688049437305e-3,5.075402405157536e-3,4.896749774028595e-3,4.54972257390693e-3,4.03388125819551e-3,3.442327173407466e-3,2.7254221770117e-3],\"ring_torque_n_m_hex\":[\"3f28b1cc4e667505\",\"3f3a80b38a3b351b\",\"3f437c0097099612\",\"3f4b4624bf163229\",\"3f52102066ae646f\",\"3f56a7958b3decd4\",\"3f5bade3ffa1a6a8\",\"3f6089c7ec775506\",\"3f63731275abc5c1\",\"3f668fd20efc1e6f\",\"3f6a251655b2938e\",\"3f6dd1fb35e54fb3\",\"3f7053581e09c473\",\"3f7195e3c8c212af\",\"3f72bd7a35b26a21\",\"3f73c689acd6b95c\",\"3f74b51bce7f9add\",\"3f7587f50415b81a\",\"3f76407afebe39c4\",\"3f76deb6eee4ea5b\",\"3f77472d04a6148a\",\"3f77753f4e7dccfa\",\"3f778063ee015278\",\"3f7769481904aa97\",\"3f773ca93eb2bd41\",\"3f76f9214a02e0ca\",\"3f766a25ed966397\",\"3f7592b9779ab767\",\"3f74c9f1f581cecc\",\"3f740e9d422da9be\",\"3f72a2bada92a662\",\"3f7085d4c1474220\",\"3f6c33155438aa65\",\"3f66539fe3c7225b\"]},\"invariants\":{\"thrust_balance_gap\":8.612342119028988e-15,\"thrust_balance_gap_hex\":\"3d0364ad5e1863c3\",\"worst_ring_balance_gap\":7.287050435123608e-14,\"worst_ring_balance_gap_hex\":\"3d3482df8b568cab\"},\"field_sha256\":\"dd9111aff3c0b39cdbe72c0e3ed5a90ba3ef2f6b1afd86c822b4e4af77f98dbc\",\"seal_parts\":{\"inputs\":\"b94e5bbc38bc523d0e3bc552d38019cd24246ea67b20406a7184dfbb1b36eb40\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"185f598c263b7ea309784d1af41ae7ad7f811f5b15def6e47dc70571c71a260a\",\"invariants\":\"74b030f48bfafb32e289ee502ad067b2098679727b9dc7363636eaaf58442127\",\"field_sha256\":\"58ab638679098ef0d18198faa4a3d6e9b6cd04727893f50479163ab3572072cd\",\"outcome\":\"4c80b494a07551b73d321708e135cd721afa800a7693e3f3b8349ae85959540e\"},\"solution_seal\":\"71818a73a1ccde17568c9daf85a226abbb86514920fcc83debfce016e70ebf04\",\"receipt_sha256\":\"c424a5291d907f37eb42228dfcb1530f28750c1033e682a108bb22f242871f81\"}", "outside_request": "{\"solver\": \"propeller_apc_10x7e\", \"parameters\": {\"rotational_speed_rev_per_min\": 6531.000000000001, \"airspeed_m_s\": 8.0, \"air_density_kg_m3\": 1.225}}", "outside_answer": "Physical Violation: rotational speed 6531.000000000001 rev/min is outside 4007..=6531 rev/min, the speeds compared with measurement with the air moving (RotationalSpeedOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-4a9651d723fb", "model": "propeller_apc_10x7e", "solver": "propeller_apc_10x7e", "tool": "solve", "specimen": "Thrust and shaft power of the APC Thin Electric 10x7 propeller at one rotational speed, airspeed and air density, by blade-element momentum theory on its measured blade geometry, with two blade-section constants fitted to this propeller's own measured thrust and power; on the measurements held back from the fit it missed both of its lines, by up to 10.2 percent of full scale at speeds never fitted and 11.8 at rest.", "base": "example_solve", "input": "parameters.airspeed_m_s", "input_unit": "m/s", "whole_number_input": false, "base_value": 8.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 2.3494999999999986, "inside_value_hex": "4002cbc6a7ef9daf", "outside_value": 2.349499999999998, "outside_value_hex": "4002cbc6a7ef9dae", "width": 4.440892098500626e-16, "adjacent_64_bit_numbers": true, "stop_name": "AdvanceRatioOutOfRange", "stop_sentence": "Physical Violation: advance ratio 0.11099999999999992 is outside 0.111..=0.748, the advance ratios compared with measurement, by more than the allowance of 5 units in the last place below (ADVANCE_RATIO_MIN_ALLOWANCE_ULP) and 4 above (ADVANCE_RATIO_MAX_ALLOWANCE_ULP), and the airspeed is not zero (AdvanceRatioOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 1326, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "20b2d6053cd13fe725d9ffa78a51ed11dfe24ae4f2c0db7c56af8210a4d8b098", "outside_proof": null, "inside_receipt": "3b97c07c3870a686c0e6c1e4627044eb59a26b87f98ddd1841f6d8a0910986e5", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:45:39Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"propeller_apc_10x7e\", \"parameters\": {\"rotational_speed_rev_per_min\": 5000.0, \"airspeed_m_s\": 2.3494999999999986, \"air_density_kg_m3\": 1.225}}", "inside_answer": "{\"inputs\":{\"solver\":\"propeller_apc_10x7e\",\"parameters\":{\"rotational_speed_rev_per_min\":5000.0,\"airspeed_m_s\":2.3494999999999986,\"air_density_kg_m3\":1.225}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":1326,\"result\":{\"advance_ratio\":1.1099999999999995e-1,\"advance_ratio_hex\":\"3fbc6a7ef9db22cd\",\"thrust_coefficient\":1.0500325377365402e-1,\"thrust_coefficient_hex\":\"3fbae17e44ee725e\",\"power_coefficient\":5.095073313594371e-2,\"power_coefficient_hex\":\"3faa1636e90d5d36\",\"thrust_n\":3.7180157057838246e0,\"thrust_n_hex\":\"400dbe7f04b2d8da\",\"torque_n_m\":7.29310974624303e-2,\"torque_n_m_hex\":\"3fb2ab9cc6766827\",\"shaft_power_w\":3.818663333436871e1,\"shaft_power_w_hex\":\"404317e399e1ba80\",\"efficiency\":2.287574771059221e-1,\"efficiency_hex\":\"3fcd47eccd7154ec\",\"ring_inflow_angle_rad\":[4.136123608051532e-1,3.80166771111937e-1,3.559260708187416e-1,3.38736567867275e-1,3.2446534176440867e-1,3.123322185004721e-1,3.0099165974600206e-1,2.9016984450416616e-1,2.801111571199777e-1,2.706384045597854e-1,2.613662773288239e-1,2.522117163801292e-1,2.4350139883190658e-1,2.3515321219442203e-1,2.269864666592935e-1,2.189436182178533e-1,2.1109383101309948e-1,2.0338808979360593e-1,1.9599101404204297e-1,1.8890860744276594e-1,1.818638539853754e-1,1.7481628555257805e-1,1.6745863266124283e-1,1.598869505547526e-1,1.528433404350524e-1,1.4630585012020925e-1,1.3992147783231992e-1,1.3374993974616564e-1,1.28514991175341e-1,1.243627025973636e-1,1.1995731176411534e-1,1.1567430075362967e-1,1.1380239057448653e-1,1.2238169789706504e-1],\"ring_inflow_angle_rad_hex\":[\"3fda789ffab8497c\",\"3fd854a7023ce870\",\"3fd6c77e247d7526\",\"3fd5addc243cc032\",\"3fd4c40a47e411fe\",\"3fd3fd4045fc95fa\",\"3fd3437285be94e8\",\"3fd292248a1b9236\",\"3fd1ed5758c4cd28\",\"3fd15223be280eac\",\"3fd0ba399f59e464\",\"3fd0243c9c6152dc\",\"3fcf2b0dc841b388\",\"3fce19801df65272\",\"3fcd0de47d77d75e\",\"3fcc06582ff4f082\",\"3fcb051f664b57aa\",\"3fca089ef5079c05\",\"3fc9163bc9cf6af3\",\"3fc82e2841732580\",\"3fc74750949889d8\",\"3fc660614aa0d5a6\",\"3fc56f48d35b40d0\",\"3fc4772cf3d84c66\",\"3fc3905ede4a3b9f\",\"3fc2ba266cbd6950\",\"3fc1e8f26da61e69\",\"3fc11eb7d0869fcf\",\"3fc0732de21268a2\",\"3fbfd63bec7f7328\",\"3fbeb585baf16544\",\"3fbd9cd4bab97954\",\"3fbd222749b95a93\",\"3fbf54682e18caec\"],\"ring_thrust_n\":[8.102162853476284e-3,1.055117756298794e-2,1.381670807807084e-2,1.8478036088643915e-2,2.4368084435503916e-2,3.173262212266411e-2,3.998672004619637e-2,4.895887776522589e-2,5.867083243817684e-2,6.898552854475108e-2,7.957884803345094e-2,9.020176539204885e-2,1.0100545491531261e-1,1.1182864158398287e-1,1.2238751846609737e-1,1.3244525623122663e-1,1.4193124409021493e-1,1.5062601501873252e-1,1.5851755461517045e-1,1.657227548459277e-1,1.716265790304424e-1,1.7596673176297908e-1,1.778487387328911e-1,1.772489557887466e-1,1.7584724638981866e-1,1.7358567674630368e-1,1.6947814557865945e-1,1.6352197512624198e-1,1.5738060172558221e-1,1.5093881919520696e-1,1.3994022250320418e-1,1.2405492743349317e-1,1.0474914345043994e-1,7.793213919195356e-2],\"ring_thrust_n_hex\":[\"3f8097dde3dc416f\",\"3f859bdb1489e036\",\"3f8c4bef2aab6761\",\"3f92ebe802c7b6d4\",\"3f98f3f276dddb0e\",\"3fa03f421c7761db\",\"3fa47923adbed54a\",\"3fa9112355b3759f\",\"3fae0a1a751a2541\",\"3fb1a9091cff3a1b\",\"3fb45f4785c1cc70\",\"3fb7177680667b02\",\"3fb9db7e559430d5\",\"3fbca0cd465bfbe0\",\"3fbf54c9d5401fbd\",\"3fc0f3f7560300b1\",\"3fc22acd91d2f3d7\",\"3fc347b698375454\",\"3fc44a4da074ff9f\",\"3fc536673a2215a0\",\"3fc5f7dc1807b1ab\",\"3fc68613ef0d9165\",\"3fc6c3bf5a3f0e08\",\"3fc6b018022e70c6\",\"3fc682299e2aff99\",\"3fc6380e3256f6a5\",\"3fc5b175ba52d32b\",\"3fc4ee49bfac19b7\",\"3fc4250c2cb7d4a4\",\"3fc351f69611f466\",\"3fc1e98fab85eab5\",\"3fbfc210503c089c\",\"3fbad0d7016755bf\",\"3fb3f35c552302bb\"],\"ring_torque_n_m\":[1.0065745580136251e-4,1.7591821585857128e-4,2.8091180746135685e-4,4.080279808238346e-4,5.513851761537309e-4,6.952354618860734e-4,8.510136053000503e-4,1.0168331579280662e-3,1.1938802401343426e-3,1.381987431283089e-3,1.5758230681215627e-3,1.773158791698375e-3,1.973887843126525e-3,2.17632557581154e-3,2.370661027117505e-3,2.5524265770838833e-3,2.7212223753227387e-3,2.873260522178509e-3,3.0496617172790117e-3,3.217748822465349e-3,3.355662793216662e-3,3.456410898481139e-3,3.496019151207264e-3,3.4748581399897797e-3,3.4392321363170483e-3,3.38843978920294e-3,3.2978449994209443e-3,3.169613763081998e-3,3.0494432767988197e-3,2.9376178635922927e-3,2.728604358816064e-3,2.4233171791862122e-3,2.081826691596277e-3,1.6921795686873815e-3],\"ring_torque_n_m_hex\":[\"3f1a6301ec4dc504\",\"3f270ed5f7bf8b03\",\"3f3268eb06aeef07\",\"3f3abd92d55faf51\",\"3f42115aa6483c76\",\"3f46c80ec9316700\",\"3f4be2d1cd36243b\",\"3f50a8e84a299b37\",\"3f538f7f258cc818\",\"3f56a479b488b4ea\",\"3f59d17b22ade868\",\"3f5d0d2ac1576615\",\"3f602b8af76e2f8a\",\"3f61d415e58dcb77\",\"3f636ba2f29a984e\",\"3f64e8d395918b0e\",\"3f664ad1236dcf7c\",\"3f6789a9ff387afb\",\"3f68fb9aaaddcfa6\",\"3f6a5c1bbeb20599\",\"3f6b7d55be812f32\",\"3f6c509e78a80df5\",\"3f6ca3aefd75c24e\",\"3f6c774e42394e9d\",\"3f6c2c97b1900c30\",\"3f6bc212c287eb72\",\"3f6b04150d6eeba3\",\"3f69f7296e8228f7\",\"3f68fb2564a2ad42\",\"3f6810a194df6e53\",\"3f665a4c4f83cb13\",\"3f63da108109bf18\",\"3f610de831cd95e4\",\"3f5bb983fa03a1d5\"]},\"invariants\":{\"thrust_balance_gap\":5.054624966122208e-15,\"thrust_balance_gap_hex\":\"3cf6c395f86038c3\",\"worst_ring_balance_gap\":6.787367661010906e-14,\"worst_ring_balance_gap_hex\":\"3d331ad0577e2267\"},\"field_sha256\":\"44a924e87dea1df896ae860937bfcecf3a7812a6d43972c12a913b2390e56713\",\"seal_parts\":{\"inputs\":\"e4e8eeac43e25a9b139fece21436cfec04973b3c5482dcb092dca702b6cc08f1\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"bd38c398b1691ac4247c227eab1652d6b1110d409ea638f1fa5e04de3cb1f00c\",\"invariants\":\"f5c9d2e601eb34d150bd98a118c2e69fcc5f1e0e238844fb117c29847e11a03e\",\"field_sha256\":\"eee4429d144306da4b5ffb7e571e331927f570db3e3577e8e2c468d16d8c0b40\",\"outcome\":\"4c80b494a07551b73d321708e135cd721afa800a7693e3f3b8349ae85959540e\"},\"solution_seal\":\"20b2d6053cd13fe725d9ffa78a51ed11dfe24ae4f2c0db7c56af8210a4d8b098\",\"receipt_sha256\":\"3b97c07c3870a686c0e6c1e4627044eb59a26b87f98ddd1841f6d8a0910986e5\"}", "outside_request": "{\"solver\": \"propeller_apc_10x7e\", \"parameters\": {\"rotational_speed_rev_per_min\": 5000.0, \"airspeed_m_s\": 2.349499999999998, \"air_density_kg_m3\": 1.225}}", "outside_answer": "Physical Violation: advance ratio 0.11099999999999992 is outside 0.111..=0.748, the advance ratios compared with measurement, by more than the allowance of 5 units in the last place below (ADVANCE_RATIO_MIN_ALLOWANCE_ULP) and 4 above (ADVANCE_RATIO_MAX_ALLOWANCE_ULP), and the airspeed is not zero (AdvanceRatioOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-d13470de330e", "model": "propeller_apc_10x7e", "solver": "propeller_apc_10x7e", "tool": "solve", "specimen": "Thrust and shaft power of the APC Thin Electric 10x7 propeller at one rotational speed, airspeed and air density, by blade-element momentum theory on its measured blade geometry, with two blade-section constants fitted to this propeller's own measured thrust and power; on the measurements held back from the fit it missed both of its lines, by up to 10.2 percent of full scale at speeds never fitted and 11.8 at rest.", "base": "example_solve", "input": "parameters.airspeed_m_s", "input_unit": "m/s", "whole_number_input": false, "base_value": 8.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 15.832666666666675, "inside_value_hex": "402faa53490b9afc", "outside_value": 15.832666666666677, "outside_value_hex": "402faa53490b9afd", "width": 1.7763568394002505e-15, "adjacent_64_bit_numbers": true, "stop_name": "AdvanceRatioOutOfRange", "stop_sentence": "Physical Violation: advance ratio 0.7480000000000006 is outside 0.111..=0.748, the advance ratios compared with measurement, by more than the allowance of 5 units in the last place below (ADVANCE_RATIO_MIN_ALLOWANCE_ULP) and 4 above (ADVANCE_RATIO_MAX_ALLOWANCE_ULP), and the airspeed is not zero (AdvanceRatioOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 1326, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "f44655c0a857817181a717a69bebbc387b067cc5b1c8432a2b22203027ae0d4b", "outside_proof": null, "inside_receipt": "504dca3352ca90f2b9f6b9f57ea19b140a6d2c21be12a56d75024f0d2e02223c", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:45:41Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"propeller_apc_10x7e\", \"parameters\": {\"rotational_speed_rev_per_min\": 5000.0, \"airspeed_m_s\": 15.832666666666675, \"air_density_kg_m3\": 1.225}}", "inside_answer": "{\"inputs\":{\"solver\":\"propeller_apc_10x7e\",\"parameters\":{\"rotational_speed_rev_per_min\":5000.0,\"airspeed_m_s\":15.832666666666675,\"air_density_kg_m3\":1.225}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":1326,\"result\":{\"advance_ratio\":7.480000000000004e-1,\"advance_ratio_hex\":\"3fe7ef9db22d0e5a\",\"thrust_coefficient\":1.3884094389283421e-2,\"thrust_coefficient_hex\":\"3f8c6f439ab140ce\",\"power_coefficient\":1.7795304580887378e-2,\"power_coefficient_hex\":\"3f9238eeacca0138\",\"thrust_n\":4.916160132638951e-1,\"thrust_n_hex\":\"3fdf76a302ca221b\",\"torque_n_m\":2.547227513487459e-2,\"torque_n_m_hex\":\"3f9a156772a2d0fd\",\"shaft_power_w\":1.3337252072323327e1,\"shaft_power_w_hex\":\"402aacac4dba461a\",\"efficiency\":5.835979123581898e-1,\"efficiency_hex\":\"3fe2acd58772f41e\",\"ring_inflow_angle_rad\":[8.902704252998597e-1,8.727263728080399e-1,8.417402107831511e-1,8.000188105421853e-1,7.558457537282246e-1,7.089185545921362e-1,6.665276575850454e-1,6.283449407141293e-1,5.938744420334132e-1,5.628427185109994e-1,5.34831453081942e-1,5.096269610953494e-1,4.865960075451481e-1,4.65573605449213e-1,4.46086134142458e-1,4.280117840201173e-1,4.112652405038185e-1,3.9574824716335655e-1,3.8127727137774026e-1,3.677787418894657e-1,3.5506501352067976e-1,3.4307962099403955e-1,3.3180669653664097e-1,3.212018619130116e-1,3.113793809328542e-1,3.022888533620941e-1,2.933946482932417e-1,2.846955320597162e-1,2.767733667069373e-1,2.696126152016214e-1,2.623739518903192e-1,2.550812615550614e-1,2.4821620971901348e-1,2.423632821798949e-1],\"ring_inflow_angle_rad_hex\":[\"3fec7d18672848fa\",\"3febed5fdbb226ca\",\"3feaef892aa15644\",\"3fe999c10c6ed50a\",\"3fe82fe36f22a988\",\"3fe6af75f6f006ae\",\"3fe55431cf66a1d8\",\"3fe41b66d95f2d02\",\"3fe30104f94ed71a\",\"3fe202cebb997cbc\",\"3fe11d56d9fb7dbe\",\"3fe04edd33620f7c\",\"3fdf246394b15130\",\"3fddcbf53c524058\",\"3fdc8cacdb55d1bc\",\"3fdb648b89aad136\",\"3fda522b717c82aa\",\"3fd953f074c1052e\",\"3fd866d8c8d1a1fa\",\"3fd789afd92512ee\",\"3fd6b9629b419b86\",\"3fd5f5043a05fb7e\",\"3fd53c52278dfeae\",\"3fd48e9241152a12\",\"3fd3eda3c8705768\",\"3fd358b358c8ac96\",\"3fd2c6fa58cf6ad4\",\"3fd238739be0e21c\",\"3fd1b6a7a39a3f42\",\"3fd14155453851dc\",\"3fd0cabc1dac3c98\",\"3fd053405b0ce3ea\",\"3fcfc58c7b8a4550\",\"3fcf05c2915b6008\"],\"ring_thrust_n\":[-1.6092315476555444e-2,-7.858764397791717e-3,-8.279309734522831e-4,4.0532204759552255e-3,7.598163890854163e-3,8.187967467340318e-3,8.630631332372395e-3,9.048831592144776e-3,9.461376874657517e-3,1.004929677119311e-2,1.0862259278806246e-2,1.2123548562881148e-2,1.3494726773669169e-2,1.5097343365378173e-2,1.6541874905174395e-2,1.7860374825871682e-2,1.914010371577703e-2,2.044334162347863e-2,2.1621178931011176e-2,2.271684012522988e-2,2.347589455037466e-2,2.3906168632669943e-2,2.4110694421966578e-2,2.412333351047444e-2,2.44451089598573e-2,2.5100811492693866e-2,2.4538692507036025e-2,2.2805701993599495e-2,2.1821741900772115e-2,2.155121802229115e-2,1.941116557829823e-2,1.5627135385588676e-2,1.151835629831302e-2,7.027920345963971e-3],\"ring_thrust_n_hex\":[\"bf907a8102c13fe4\",\"bf801841809a97a6\",\"bf4b21303a27418e\",\"3f709a1c16340a6b\",\"3f7f1f4096bbdec4\",\"3f80c4da63f189cd\",\"3f81acefba87ee39\",\"3f8288319e0acccb\",\"3f83607c8203a7b6\",\"3f8494b9c7d73069\",\"3f863ef3c2e7b8c3\",\"3f88d43b24b65bd3\",\"3f8ba31f914a7990\",\"3f8eeb5b201614c9\",\"3f90f05a6eedd231\",\"3f9249fd7715ef46\",\"3f9399769e015785\",\"3f94ef196ec67287\",\"3f9623dcc1a37d30\",\"3f97431555a0131b\",\"3f980a109d5a5218\",\"3f987adbd1ccc726\",\"3f98b079501ad325\",\"3f98b3c981fdf0b9\",\"3f9908237e1e7521\",\"3f99b406f1db524a\",\"3f9920abc7379fa8\",\"3f975a60c0e63a51\",\"3f9658704f38e71c\",\"3f961185c260faaf\",\"3f93e085455818ba\",\"3f90008f4da5235d\",\"3f8796ef9cd6e590\",\"3f7cc94f00b788de\"],\"ring_torque_n_m\":[-3.4818023718409226e-4,-1.9003834787957512e-4,1.3566804013000295e-5,1.7569242954205484e-4,3.017043048233783e-4,3.321886152184062e-4,3.596757544117975e-4,3.8812977344177837e-4,4.184351453509619e-4,4.5637411148675923e-4,5.030069159121476e-4,5.652033265162387e-4,6.324375796626679e-4,7.084583638626496e-4,7.800493607625797e-4,8.477583942480992e-4,9.142724054654549e-4,9.811068284220268e-4,1.0438501869792808e-3,1.1035622330743226e-3,1.1502319957371978e-3,1.1832700140692212e-3,1.2074579054394492e-3,1.2235515473391393e-3,1.2466400499974893e-3,1.2769306399729185e-3,1.2650302598950774e-3,1.212360630623714e-3,1.1816852727006234e-3,1.171673648685032e-3,1.0884257564324153e-3,9.373542069435711e-4,7.666316558683807e-4,5.737776030404213e-4],\"ring_torque_n_m_hex\":[\"bf36d17ebb5880c8\",\"bf28e8a0fa6f11e5\",\"3eec739f58731d05\",\"3f2707427a632d4a\",\"3f33c5c21f4daa42\",\"3f35c5333d0c255d\",\"3f37925b9a3472c6\",\"3f396fbcaefc3c9c\",\"3f3b6c2d43c894fb\",\"3f3de8afe23214f6\",\"3f407b872072d5d8\",\"3f428544e6c7f8c7\",\"3f44b9455c573f1e\",\"3f4736fac06e5ab8\",\"3f498f873f32e795\",\"3f4bc7834a029f99\",\"3f4df5790a61cacc\",\"3f50130f6f7c305b\",\"3f511a399a8f5a0c\",\"3f5214aceccf56b0\",\"3f52d86c337cfeaa\",\"3f5362fe80d1234e\",\"3f53c8720dc52aa7\",\"3f540bf2785ee491\",\"3f546cc98fa7e751\",\"3f54ebd5d5a0e005\",\"3f54b9ebe60f8f7d\",\"3f53dd02509b6e79\",\"3f535c58e66d2eec\",\"3f53325b002c06f5\",\"3f51d53041cac5e7\",\"3f4eb718d4f089de\",\"3f491ef8f1ec9a20\",\"3f42cd3205267306\"]},\"invariants\":{\"thrust_balance_gap\":2.744527566669292e-14,\"thrust_balance_gap_hex\":\"3d1ee68fe7af9fed\",\"worst_ring_balance_gap\":8.688887614944945e-13,\"worst_ring_balance_gap_hex\":\"3d6e92411393f57f\"},\"field_sha256\":\"e2447d572fdc9f40d3a4c9cfd6d076d000569e52662049aef5a1354929782971\",\"seal_parts\":{\"inputs\":\"8df71bbc64fc8ba3d2409b7d0b70ee75917c7f847626922e249db44cd06dde65\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"44d023be12f63b277100e884308ef639bbcfe3da6acd5bb66533de8e17ee1f02\",\"invariants\":\"5c14a3f16cfa91f28784ec55921af8be17be60abb5c1e35e10a95ec856189455\",\"field_sha256\":\"aac190d52a205b4c8ea757443ecbc86bf001a4a306b4877c87810a091d4ba00f\",\"outcome\":\"4c80b494a07551b73d321708e135cd721afa800a7693e3f3b8349ae85959540e\"},\"solution_seal\":\"f44655c0a857817181a717a69bebbc387b067cc5b1c8432a2b22203027ae0d4b\",\"receipt_sha256\":\"504dca3352ca90f2b9f6b9f57ea19b140a6d2c21be12a56d75024f0d2e02223c\"}", "outside_request": "{\"solver\": \"propeller_apc_10x7e\", \"parameters\": {\"rotational_speed_rev_per_min\": 5000.0, \"airspeed_m_s\": 15.832666666666677, \"air_density_kg_m3\": 1.225}}", "outside_answer": "Physical Violation: advance ratio 0.7480000000000006 is outside 0.111..=0.748, the advance ratios compared with measurement, by more than the allowance of 5 units in the last place below (ADVANCE_RATIO_MIN_ALLOWANCE_ULP) and 4 above (ADVANCE_RATIO_MAX_ALLOWANCE_ULP), and the airspeed is not zero (AdvanceRatioOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-f515943f460c", "model": "propeller_apc_10x7e", "solver": "propeller_apc_10x7e", "tool": "solve", "specimen": "Thrust and shaft power of the APC Thin Electric 10x7 propeller at one rotational speed, airspeed and air density, by blade-element momentum theory on its measured blade geometry, with two blade-section constants fitted to this propeller's own measured thrust and power; on the measurements held back from the fit it missed both of its lines, by up to 10.2 percent of full scale at speeds never fitted and 11.8 at rest.", "base": "example_solve", "input": "parameters.air_density_kg_m3", "input_unit": "kg/m³", "whole_number_input": false, "base_value": 1.225, "edge_kind": "declared_limit", "direction": "down", "inside_value": 1.0, "inside_value_hex": "3ff0000000000000", "outside_value": 0.9999999999999999, "outside_value_hex": "3fefffffffffffff", "width": 1.1102230246251565e-16, "adjacent_64_bit_numbers": true, "stop_name": "AirDensityOutOfRange", "stop_sentence": "Physical Violation: air density 0.9999999999999999 kg/m³ is outside 1..=1.3 kg/m³ (AirDensityOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 1326, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "6772b92b2fac4c9d613543a08ea8cb46c18f9bb5c0f1db9d24460a6c58a72118", "outside_proof": null, "inside_receipt": "48665c227431198be3f37bb086b5548fd3a5c3be7473882661e9e9757c8b2018", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:45:43Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"propeller_apc_10x7e\", \"parameters\": {\"rotational_speed_rev_per_min\": 5000.0, \"airspeed_m_s\": 8.0, \"air_density_kg_m3\": 1.0}}", "inside_answer": "{\"inputs\":{\"solver\":\"propeller_apc_10x7e\",\"parameters\":{\"rotational_speed_rev_per_min\":5000.0,\"airspeed_m_s\":8.0,\"air_density_kg_m3\":1.0}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":1326,\"result\":{\"advance_ratio\":3.7795275590551186e-1,\"advance_ratio_hex\":\"3fd83060c183060d\",\"thrust_coefficient\":8.006588186593744e-2,\"thrust_coefficient_hex\":\"3fb47f329823bce0\",\"power_coefficient\":5.074764156624096e-2,\"power_coefficient_hex\":\"3fa9fb9849c094c9\",\"thrust_n\":2.314301121595856e0,\"thrust_n_hex\":\"400283b04e72cd75\",\"torque_n_m\":5.929827862889437e-2,\"torque_n_m_hex\":\"3fae5c580ed72411\",\"shaft_power_w\":3.1048506085175863e1,\"shaft_power_w_hex\":\"403f0c6ae5117cc1\",\"efficiency\":5.96305951789628e-1,\"efficiency_hex\":\"3fe314f0382b1763\",\"ring_inflow_angle_rad\":[6.808586244947303e-1,6.655372327934033e-1,6.347418126219926e-1,5.90272842254326e-1,5.524635590835423e-1,5.199526696683954e-1,4.9125565987662123e-1,4.6540962689722354e-1,4.378310525774689e-1,4.132619881542946e-1,3.911337840110597e-1,3.712470944237195e-1,3.531449576116653e-1,3.3667316622367693e-1,3.21308989813882e-1,3.0695197913676375e-1,2.9358958174943695e-1,2.8114089708360623e-1,2.695345698101054e-1,2.5871073910634057e-1,2.4838762987049362e-1,2.385194761063529e-1,2.292563267468468e-1,2.205685391966757e-1,2.1254465878305856e-1,2.0514989057261906e-1,1.97942060279094e-1,1.9095749649746935e-1,1.8488594232021935e-1,1.79804754830544e-1,1.7453324593986197e-1,1.6931189222130136e-1,1.6573407427098666e-1,1.6897692279027346e-1],\"ring_inflow_angle_rad_hex\":[\"3fe5c99806acf0f0\",\"3fe54c14bd23c6b4\",\"3fe44fce0fd3afde\",\"3fe2e383df2660a4\",\"3fe1adc80ecfdbc6\",\"3fe0a373c7f63260\",\"3fdf70bb9449477a\",\"3fddc94575b118c6\",\"3fdc056c88ff9544\",\"3fda72e268f35e5e\",\"3fd90855feac0bf2\",\"3fd7c2832c523bca\",\"3fd699ed4eec1f46\",\"3fd58c0d9b97c612\",\"3fd4905394ca54b6\",\"3fd3a519e9f56e96\",\"3fd2ca2bf503d980\",\"3fd1fe3663a2b340\",\"3fd1400dec9e7406\",\"3fd08eb77ce57c74\",\"3fcfcb2a75832a1e\",\"3fce87ce62aafcc7\",\"3fcd584574e3af9f\",\"3fcc3b97033027db\",\"3fcb34a9d334d3de\",\"3fca425a0364c8ca\",\"3fc9562a59b366a0\",\"3fc8714b9530fb2e\",\"3fc7aa57b1e0b3b7\",\"3fc703d79ad4cc4b\",\"3fc6571afbb02eec\",\"3fc5ac0317f509f3\",\"3fc536c62e69d20d\",\"3fc5a1092a94db45\"],\"ring_thrust_n\":[2.961819818993398e-3,9.16437509989413e-3,1.5401707527449831e-2,1.9963962681762492e-2,2.533535674012672e-2,3.1723307982971474e-2,3.855204983479423e-2,4.566163845633624e-2,5.096593281404904e-2,5.630123601653e-2,6.1569431151229995e-2,6.684929180016816e-2,7.200118421753311e-2,7.70664004405221e-2,8.168050963748447e-2,8.580164598125092e-2,8.949323204047467e-2,9.274761514226865e-2,9.555986337867622e-2,9.793361875025683e-2,9.947857141101658e-2,1.0013195772952885e-1,1.0019922725287755e-1,9.968646240303711e-2,9.883162682922918e-2,9.761549679379442e-2,9.508865213933473e-2,9.126593773773273e-2,8.756689718649617e-2,8.39318076045891e-2,7.742577082875962e-2,6.796647120810295e-2,5.672810901221611e-2,4.164995394636787e-2],\"ring_thrust_n_hex\":[\"3f684362e84b8a6f\",\"3f82c4c59abd1354\",\"3f8f8aee31104a36\",\"3f94716edb445603\",\"3f99f18302867d52\",\"3fa03e09949d97ba\",\"3fa3bd182277e983\",\"3fa760f657b41746\",\"3faa1834ed4afea0\",\"3facd383fed4abdb\",\"3faf86074a74a99a\",\"3fb11d09020ae02e\",\"3fb26eab6b7cd1c9\",\"3fb3ba9fa583320c\",\"3fb4e9038d9d1574\",\"3fb5f718bf6eb48e\",\"3fb6e90748d3c1f1\",\"3fb7be4ec5d16af4\",\"3fb8769c78058a5c\",\"3fb9122d79b616ce\",\"3fb9776d7adcf539\",\"3fb9a23f7bbb9786\",\"3fb9a6a81422b570\",\"3fb9850d4fdffe8e\",\"3fb94d078d0ac187\",\"3fb8fd54464fe866\",\"3fb857badb28beea\",\"3fb75d3459d28480\",\"3fb66ac8bfa0d16b\",\"3fb57c8e10c180fa\",\"3fb3d22ce193bdb4\",\"3fb166402b103640\",\"3fad0b7779f15a2b\",\"3fa553248c28bb95\"],\"ring_torque_n_m\":[5.772909239881294e-5,1.8877045790520396e-4,3.369545001802034e-4,4.5632855032758123e-4,5.952343389540403e-4,7.430113603098035e-4,9.12417048970978e-4,1.0995798758318075e-3,1.234332100791846e-3,1.3720718370485812e-3,1.5099528788225962e-3,1.6503646992713033e-3,1.789224886665985e-3,1.9278013096711644e-3,2.0550592207037874e-3,2.1696484257812134e-3,2.273465560031297e-3,2.366174477203949e-3,2.447835846318419e-3,2.518553213248757e-3,2.5662930811236884e-3,2.589115673359969e-3,2.5968128511656622e-3,2.5896827333949457e-3,2.5743600715099992e-3,2.5502437073306114e-3,2.491010981379817e-3,2.3978912785422375e-3,2.3121923667985948e-3,2.2330991854456993e-3,2.074452738648134e-3,1.8360826029565948e-3,1.5607755918879266e-3,1.2217560849131705e-3],\"ring_torque_n_m_hex\":[\"3f0e444482d3dd8e\",\"3f28be15e2e50de7\",\"3f3615288efac603\",\"3f3de7ec332bdd04\",\"3f43813002773c51\",\"3f4858d4bf1d7a36\",\"3f4de5e8b15cc179\",\"3f5203f8e6c950e6\",\"3f54392a0056e666\",\"3f567ae2eabea62b\",\"3f58bd338eea31cf\",\"3f5b0a219a3adea6\",\"3f5d508d97e61bcb\",\"3f5f95c8e5019da4\",\"3f60d5c5849dd3c2\",\"3f61c615210aa283\",\"3f629fcd87534936\",\"3f63623a3fe10a91\",\"3f640d7bdcfd3f8d\",\"3f64a1c9f5e477bc\",\"3f6505e81b5f4040\",\"3f6535c4e4908622\",\"3f6545e948a0792f\",\"3f6536f554b3ca92\",\"3f6516d30a16a3d5\",\"3f64e43faa3bec30\",\"3f646807565e3bea\",\"3f63a4be13dccb91\",\"3f62f104d31e661d\",\"3f624b25ff0bfd38\",\"3f60fe71556d4ae2\",\"3f5e1516aee08315\",\"3f59925e07e84dba\",\"3f54046a9b6ac25d\"]},\"invariants\":{\"thrust_balance_gap\":3.421389296747542e-15,\"thrust_balance_gap_hex\":\"3ceed12fc47951db\",\"worst_ring_balance_gap\":1.3101484958446802e-13,\"worst_ring_balance_gap_hex\":\"3d42704eb337cb91\"},\"field_sha256\":\"34d1b2de1ef52e986edae4273dfe7257bb8e46efbbcb679d75edb5bf4bd7bf1d\",\"seal_parts\":{\"inputs\":\"07684ad0e39b6f40c38f5e7b5a7933cdf6ffb3af13eccc824b0acd6ce3bcf29d\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"2399c6bb93fcceed3e35ae260aa32cdb8237c173012fc9c0920c78e543d7c20a\",\"invariants\":\"c6a70e722fc6ce9f7c097bf739a0438d1314ccec046287502b4e236b2719f6d7\",\"field_sha256\":\"a3e66018f5e2e15e1efcef23016bcdcb517165be619cd21b910935171dc23cc8\",\"outcome\":\"4c80b494a07551b73d321708e135cd721afa800a7693e3f3b8349ae85959540e\"},\"solution_seal\":\"6772b92b2fac4c9d613543a08ea8cb46c18f9bb5c0f1db9d24460a6c58a72118\",\"receipt_sha256\":\"48665c227431198be3f37bb086b5548fd3a5c3be7473882661e9e9757c8b2018\"}", "outside_request": "{\"solver\": \"propeller_apc_10x7e\", \"parameters\": {\"rotational_speed_rev_per_min\": 5000.0, \"airspeed_m_s\": 8.0, \"air_density_kg_m3\": 0.9999999999999999}}", "outside_answer": "Physical Violation: air density 0.9999999999999999 kg/m³ is outside 1..=1.3 kg/m³ (AirDensityOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-dcbf87560a6d", "model": "propeller_apc_10x7e", "solver": "propeller_apc_10x7e", "tool": "solve", "specimen": "Thrust and shaft power of the APC Thin Electric 10x7 propeller at one rotational speed, airspeed and air density, by blade-element momentum theory on its measured blade geometry, with two blade-section constants fitted to this propeller's own measured thrust and power; on the measurements held back from the fit it missed both of its lines, by up to 10.2 percent of full scale at speeds never fitted and 11.8 at rest.", "base": "example_solve", "input": "parameters.air_density_kg_m3", "input_unit": "kg/m³", "whole_number_input": false, "base_value": 1.225, "edge_kind": "declared_limit", "direction": "up", "inside_value": 1.3, "inside_value_hex": "3ff4cccccccccccd", "outside_value": 1.3000000000000003, "outside_value_hex": "3ff4ccccccccccce", "width": 2.220446049250313e-16, "adjacent_64_bit_numbers": true, "stop_name": "AirDensityOutOfRange", "stop_sentence": "Physical Violation: air density 1.3000000000000003 kg/m³ is outside 1..=1.3 kg/m³ (AirDensityOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 1326, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "22081f0939dd53066b65b8cae0f59923a7687089c308744bc896faea7fb3a05e", "outside_proof": null, "inside_receipt": "c7ce30dd70321002ed199000b1865c7bc3479ad7901147f81b2b9eb5c491c3cf", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:45:45Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"propeller_apc_10x7e\", \"parameters\": {\"rotational_speed_rev_per_min\": 5000.0, \"airspeed_m_s\": 8.0, \"air_density_kg_m3\": 1.3}}", "inside_answer": "{\"inputs\":{\"solver\":\"propeller_apc_10x7e\",\"parameters\":{\"rotational_speed_rev_per_min\":5000.0,\"airspeed_m_s\":8.0,\"air_density_kg_m3\":1.3}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":1326,\"result\":{\"advance_ratio\":3.7795275590551186e-1,\"advance_ratio_hex\":\"3fd83060c183060d\",\"thrust_coefficient\":8.006588186593744e-2,\"thrust_coefficient_hex\":\"3fb47f329823bce0\",\"power_coefficient\":5.074764156624096e-2,\"power_coefficient_hex\":\"3fa9fb9849c094c9\",\"thrust_n\":3.0085914580746134e0,\"thrust_n_hex\":\"4008119865fba4b3\",\"torque_n_m\":7.708776221756271e-2,\"torque_n_m_hex\":\"3fb3bc0609a5710d\",\"shaft_power_w\":4.0363057910728635e1,\"shaft_power_w_hex\":\"40442e78ae7e9119\",\"efficiency\":5.96305951789628e-1,\"efficiency_hex\":\"3fe314f0382b1763\",\"ring_inflow_angle_rad\":[6.808586244947303e-1,6.655372327934033e-1,6.347418126219926e-1,5.90272842254326e-1,5.524635590835423e-1,5.199526696683954e-1,4.9125565987662123e-1,4.6540962689722354e-1,4.378310525774689e-1,4.132619881542946e-1,3.911337840110597e-1,3.712470944237195e-1,3.531449576116653e-1,3.3667316622367693e-1,3.21308989813882e-1,3.0695197913676375e-1,2.9358958174943695e-1,2.8114089708360623e-1,2.695345698101054e-1,2.5871073910634057e-1,2.4838762987049362e-1,2.385194761063529e-1,2.292563267468468e-1,2.205685391966757e-1,2.1254465878305856e-1,2.0514989057261906e-1,1.97942060279094e-1,1.9095749649746935e-1,1.8488594232021935e-1,1.79804754830544e-1,1.7453324593986197e-1,1.6931189222130136e-1,1.6573407427098666e-1,1.6897692279027346e-1],\"ring_inflow_angle_rad_hex\":[\"3fe5c99806acf0f0\",\"3fe54c14bd23c6b4\",\"3fe44fce0fd3afde\",\"3fe2e383df2660a4\",\"3fe1adc80ecfdbc6\",\"3fe0a373c7f63260\",\"3fdf70bb9449477a\",\"3fddc94575b118c6\",\"3fdc056c88ff9544\",\"3fda72e268f35e5e\",\"3fd90855feac0bf2\",\"3fd7c2832c523bca\",\"3fd699ed4eec1f46\",\"3fd58c0d9b97c612\",\"3fd4905394ca54b6\",\"3fd3a519e9f56e96\",\"3fd2ca2bf503d980\",\"3fd1fe3663a2b340\",\"3fd1400dec9e7406\",\"3fd08eb77ce57c74\",\"3fcfcb2a75832a1e\",\"3fce87ce62aafcc7\",\"3fcd584574e3af9f\",\"3fcc3b97033027db\",\"3fcb34a9d334d3de\",\"3fca425a0364c8ca\",\"3fc9562a59b366a0\",\"3fc8714b9530fb2e\",\"3fc7aa57b1e0b3b7\",\"3fc703d79ad4cc4b\",\"3fc6571afbb02eec\",\"3fc5ac0317f509f3\",\"3fc536c62e69d20d\",\"3fc5a1092a94db45\"],\"ring_thrust_n\":[3.850365764691418e-3,1.191368762986237e-2,2.0022219785684782e-2,2.595315148629124e-2,3.293596376216474e-2,4.124030037786292e-2,5.01176647852325e-2,5.9360129993237115e-2,6.625571265826376e-2,7.319160682148901e-2,8.0040260496599e-2,8.690407934021863e-2,9.360153948279307e-2,1.0018632057267873e-1,1.0618466252872981e-1,1.1154213977562621e-1,1.1634120165261708e-1,1.2057189968494926e-1,1.242278223922791e-1,1.273137043753339e-1,1.2932214283432156e-1,1.3017154504838752e-1,1.3025899542874084e-1,1.2959240112394826e-1,1.2848111487799793e-1,1.2690014583193276e-1,1.2361524778113517e-1,1.1864571905905257e-1,1.1383696634244503e-1,1.0911134988596584e-1,1.0065350207738752e-1,8.835641257053385e-2,7.374654171588095e-2,5.414494013027824e-2],\"ring_thrust_n_hex\":[\"3f6f8acd612f00c5\",\"3f88663415f5cc54\",\"3f9480b46cb0fd0a\",\"3f9a937683726fd1\",\"3fa0dcfb8e7104a9\",\"3fa51d72daccded9\",\"3fa9a905c668af91\",\"3fae64737203b7dc\",\"3fb0f622670a58b5\",\"3fb2bcaf65a3d61c\",\"3fb47d84bd323b0b\",\"3fb63f5882a7bd0a\",\"3fb7f6453eef10ba\",\"3fb9a5cf8a5dc110\",\"3fbb2eeb04e5cf17\",\"3fbc8e0692765120\",\"3fbdc88978467c20\",\"3fbeddcccdf6a4a5\",\"3fbfcd65026d9a45\",\"3fc04bd0c24ff53a\",\"3fc08da0c30f9f65\",\"3fc0a976106d227e\",\"3fc0ac53a6b02923\",\"3fc0967bda5198aa\",\"3fc07211b546fdcb\",\"3fc03e43941a5710\",\"3fbfa53fb681c4fe\",\"3fbe5f90db2b45db\",\"3fbd246b5f844372\",\"3fbbeeb8af61f479\",\"3fb9c46d8ba6769e\",\"3fb69e869e61e021\",\"3fb2e10da8dce103\",\"3fabb8e2b634f3dd\"],\"ring_torque_n_m\":[7.504782011845684e-5,2.4540159527676524e-4,4.3804085023426456e-4,5.932271154258558e-4,7.738046406402528e-4,9.659147684027449e-4,1.1861421636622717e-3,1.42945383858135e-3,1.6046317310294005e-3,1.783693388163156e-3,1.962938742469376e-3,2.145474109052695e-3,2.3259923526657814e-3,2.5061417025725144e-3,2.6715769869149245e-3,2.8205429535155782e-3,2.955505228040687e-3,3.0760268203651347e-3,3.182186600213946e-3,3.274119177223385e-3,3.3361810054607956e-3,3.3658503753679608e-3,3.375856706515362e-3,3.3665875534134304e-3,3.346668092963e-3,3.3153168195297956e-3,3.238314275793763e-3,3.11725866210491e-3,3.0058500768381743e-3,2.90302894107941e-3,2.6967885602425753e-3,2.386907383843574e-3,2.0290082694543053e-3,1.5882829103871223e-3],\"ring_torque_n_m_hex\":[\"3f13ac5fbb701cd1\",\"3f301527d37b490b\",\"3f3cb51b2046016d\",\"3f43705987a94fab\",\"3f495b24d0016806\",\"3f4fa6ae2ba65216\",\"3f536f0a7349175d\",\"3f576b905f38e92c\",\"3f5a4a5033a42b87\",\"3f5d395a312b0b3a\",\"3f601494b67ea062\",\"3f619362a43fdd87\",\"3f630df5a2bbf879\",\"3f6487c294daa679\",\"3f65e2b3f933934b\",\"3f671b1b77c10679\",\"3f683624c985df2e\",\"3f6932e5530af425\",\"3f6a11876c1605d3\",\"3f6ad25359429baa\",\"3f6b547a89fbd388\",\"3f6b92b3292247fc\",\"3f6ba7af44d09d8c\",\"3f6b943eee1cedc0\",\"3f6b6a78c050a1ca\",\"3f6b28b92a1ab30d\",\"3f6a873cbd141ab3\",\"3f69895d8038a23f\",\"3f689fb978dab7f5\",\"3f67c817cb8f95fe\",\"3f66179355747af5\",\"3f638db524debb9c\",\"3f609f238523cc21\",\"3f5a05bdca0ac97c\"]},\"invariants\":{\"thrust_balance_gap\":3.421389296747542e-15,\"thrust_balance_gap_hex\":\"3ceed12fc47951db\",\"worst_ring_balance_gap\":1.3101484958446802e-13,\"worst_ring_balance_gap_hex\":\"3d42704eb337cb91\"},\"field_sha256\":\"616e1b165da6b943e2e7c78b14208c1bc29cadc88774cbd14d581a7a1b359ff0\",\"seal_parts\":{\"inputs\":\"b7ec260993f660a99fede31a4fea847c0c4bdee1a2600ad24c606753c3595509\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"3581e2e2662e747dd42d5272fdcc6ffa301f346d83de32b38b8962c3be4d8adc\",\"invariants\":\"c6a70e722fc6ce9f7c097bf739a0438d1314ccec046287502b4e236b2719f6d7\",\"field_sha256\":\"d12aa4e94153af4df5ae3cf56e523ac4e400d97d6b587416c5856dd90c1e17cf\",\"outcome\":\"4c80b494a07551b73d321708e135cd721afa800a7693e3f3b8349ae85959540e\"},\"solution_seal\":\"22081f0939dd53066b65b8cae0f59923a7687089c308744bc896faea7fb3a05e\",\"receipt_sha256\":\"c7ce30dd70321002ed199000b1865c7bc3479ad7901147f81b2b9eb5c491c3cf\"}", "outside_request": "{\"solver\": \"propeller_apc_10x7e\", \"parameters\": {\"rotational_speed_rev_per_min\": 5000.0, \"airspeed_m_s\": 8.0, \"air_density_kg_m3\": 1.3000000000000003}}", "outside_answer": "Physical Violation: air density 1.3000000000000003 kg/m³ is outside 1..=1.3 kg/m³ (AirDensityOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-8b905e99bea7", "model": "propeller_apc_10x7e", "solver": "propeller_apc_10x7e", "tool": "solve", "specimen": "Thrust and shaft power of the APC Thin Electric 10x7 propeller at one rotational speed, airspeed and air density, by blade-element momentum theory on its measured blade geometry, with two blade-section constants fitted to this propeller's own measured thrust and power; on the measurements held back from the fit it missed both of its lines, by up to 10.2 percent of full scale at speeds never fitted and 11.8 at rest.", "base": "example_solve_at_rest", "input": "parameters.rotational_speed_rev_per_min", "input_unit": "rev/min", "whole_number_input": false, "base_value": 6000.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 4144.0, "inside_value_hex": "40b0300000000000", "outside_value": 4143.999999999999, "outside_value_hex": "40b02fffffffffff", "width": 9.094947017729282e-13, "adjacent_64_bit_numbers": true, "stop_name": "RotationalSpeedOutOfRange", "stop_sentence": "Physical Violation: rotational speed 4143.999999999999 rev/min is outside 4144..=6542 rev/min, the speeds compared with measurement at zero airspeed (RotationalSpeedOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 1326, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "b517fdc196e346e283fec94042452f839ad0757f8e08e7869c4b867d7c862c73", "outside_proof": null, "inside_receipt": "9e6ca0ed3bb3d17f6638533d276520609e45d043ece68d84bdfa31ba34b900bf", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:45:47Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"propeller_apc_10x7e\", \"parameters\": {\"rotational_speed_rev_per_min\": 4144.0, \"airspeed_m_s\": 0.0, \"air_density_kg_m3\": 1.225}}", "inside_answer": "{\"inputs\":{\"solver\":\"propeller_apc_10x7e\",\"parameters\":{\"rotational_speed_rev_per_min\":4144.0,\"airspeed_m_s\":0.0,\"air_density_kg_m3\":1.225}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":1326,\"result\":{\"advance_ratio\":0.0e0,\"advance_ratio_hex\":\"0000000000000000\",\"thrust_coefficient\":1.0710276997979704e-1,\"thrust_coefficient_hex\":\"3fbb6b164e5fce1e\",\"power_coefficient\":4.739083783481767e-2,\"power_coefficient_hex\":\"3fa8439ca542db8f\",\"thrust_n\":2.6050055382324353e0,\"thrust_n_hex\":\"4004d70d24c4db85\",\"torque_n_m\":4.6596809661896575e-2,\"torque_n_m_hex\":\"3fa7db897b310a6b\",\"shaft_power_w\":2.0221089324194594e1,\"shaft_power_w_hex\":\"403438994f58e918\",\"efficiency\":0.0e0,\"efficiency_hex\":\"0000000000000000\",\"ring_inflow_angle_rad\":[2.75517126983847e-1,2.60145398830835e-1,2.5052213265299295e-1,2.4550378393599917e-1,2.4127424236603223e-1,2.3759386209989503e-1,2.3319681508843426e-1,2.2815050468864603e-1,2.2295541838731403e-1,2.1761833502606653e-1,2.1189583627441988e-1,2.0581085269562965e-1,1.9978078516898773e-1,1.9378578824489706e-1,1.876991838908085e-1,1.8150256057124897e-1,1.7529660778854372e-1,1.6905846338129277e-1,1.6301226317326412e-1,1.5713742428201116e-1,1.511698164984453e-1,1.4508211754667744e-1,1.3923259231123944e-1,1.3359658127269533e-1,1.2805907195136762e-1,1.2262508537030939e-1,1.1760118169301595e-1,1.1306245654896094e-1,1.0914342109314447e-1,1.0525060999196761e-1,1.0099825150903488e-1,9.687666136670003e-2,9.535923723903925e-2,1.0538125501026421e-1],\"ring_inflow_angle_rad_hex\":[\"3fd1a21296788b4c\",\"3fd0a638e30bbb66\",\"3fd0088dfbaacd44\",\"3fcf6cab018651a5\",\"3fcee2130a2a260c\",\"3fce6979c5b98562\",\"3fcdd964ab2b0818\",\"3fcd3409261a1087\",\"3fcc89cd9b3841e4\",\"3fcbdaeae7f934e8\",\"3fcb1f671b7a85a8\",\"3fca580290beab4e\",\"3fc9926ab155c2b2\",\"3fc8cdf903788042\",\"3fc80686e026013b\",\"3fc73b79d4e59a5e\",\"3fc6701e86c698ac\",\"3fc5a3b52daad656\",\"3fc4dd95f9968aec\",\"3fc41d1441226bc8\",\"3fc3598855006704\",\"3fc2920d030c77d8\",\"3fc1d25fa341cd31\",\"3fc119b159b63997\",\"3fc0643d5afe5db6\",\"3fbf645b8b55ae0a\",\"3fbe1b1c6d57ab4a\",\"3fbcf1a941488056\",\"3fbbf0d2c02b2a29\",\"3fbaf1b437ccaf6c\",\"3fb9db057b2f3a92\",\"3fb8cce8ac50ce00\",\"3fb8697685502c7e\",\"3fbafa4413e169d2\"],\"ring_thrust_n\":[4.70961677662525e-3,6.167622243716776e-3,8.200735032175948e-3,1.1175637354338812e-2,1.5008510190890213e-2,1.990114344452e-2,2.5451716689231907e-2,3.1539405020921445e-2,3.816639105089599e-2,4.5231978462445276e-2,5.251454287264787e-2,5.9836592283247274e-2,6.729584361328564e-2,7.4778108601814e-2,8.209419327525891e-2,8.907913351416084e-2,9.567944518403275e-2,1.0174265565009184e-1,1.0742499222793292e-1,1.1263844848662184e-1,1.1694129528642405e-1,1.2014737869509028e-1,1.2269691665135699e-1,1.2442712270217995e-1,1.251273727095913e-1,1.247253283444132e-1,1.2366067777351353e-1,1.2192590321571196e-1,1.1951494496309056e-1,1.1489040519175321e-1,1.0673520432352196e-1,9.491682424271224e-2,8.046234132358374e-2,6.019711083463723e-2],\"ring_thrust_n_hex\":[\"3f734a6420844b50\",\"3f7943387d4b24db\",\"3f80cb8c06217fe3\",\"3f86e340a7973a09\",\"3f8ebcc82373d3ba\",\"3f9460f720fd26c4\",\"3f9a1003cb3aaf10\",\"3fa025eed233479f\",\"3fa38a8b92bd697a\",\"3fa728a558758b5b\",\"3faae32fa867a29c\",\"3faea2e6ddebd817\",\"3fb13a4ce779cd86\",\"3fb324a87ae6ca80\",\"3fb50420034f0998\",\"3fb6cde3dd3307d7\",\"3fb87e72b7f7001b\",\"3fba0bce82a015e5\",\"3fbb80344c645bd2\",\"3fbcd5df9485b04f\",\"3fbdefdd5ece9c28\",\"3fbec1fa86320ee7\",\"3fbf6910ac566e02\",\"3fbfda74b6bdc20a\",\"3fc0042c7acfa0e4\",\"3fbfedffc638dca1\",\"3fbfa839e6d6a3a8\",\"3fbf368936d8c439\",\"3fbe98880bffed40\",\"3fbd697524ec3a91\",\"3fbb52ff93e6c274\",\"3fb84c780ff66edb\",\"3fb4992e148b5c96\",\"3faed227dcb26896\"],\"ring_torque_n_m\":[5.903621338562434e-5,1.0750982206610356e-4,1.7463919578750766e-4,2.5716001649103004e-4,3.5165975443205783e-4,4.471595842150157e-4,5.498010053330871e-4,6.581046242263447e-4,7.725878858669527e-4,8.932279163298088e-4,1.0168420353278624e-3,1.1424159658802045e-3,1.2695153907645708e-3,1.3973100446929094e-3,1.5192298728119043e-3,1.632563807472482e-3,1.7372031537921018e-3,1.830950946096909e-3,1.9157920052297027e-3,1.9906735757234282e-3,2.045267378167733e-3,2.076520243695703e-3,2.0942800704183396e-3,2.12146102041448e-3,2.1364663834548842e-3,2.129599610506864e-3,2.1125320329035925e-3,2.0865574546048813e-3,2.0537508007972063e-3,1.9796751830701374e-3,1.8370686175131446e-3,1.6311742996577346e-3,1.4058105021326518e-3,1.163263248633613e-3],\"ring_torque_n_m_hex\":[\"3f0ef3b4d89e6e72\",\"3f1c2edcadd8e4a1\",\"3f26e3eb44de1ce2\",\"3f30da6ddc54b97f\",\"3f370bdf2504d6a7\",\"3f3d4e17ca50de40\",\"3f420410ab29d01f\",\"3f459094eb50a488\",\"3f4950efd9feaaf1\",\"3f4d44f058211ed0\",\"3f50a8f1d25d14df\",\"3f52b7a3cd8f80c7\",\"3f54ccbbc57251b9\",\"3f56e4be3c6fe027\",\"3f58e41ca79af746\",\"3f5abf780a59be83\",\"3f5c765baed9d3d7\",\"3f5dff909bc7bec9\",\"3f5f636a00899f75\",\"3f604ebebcf3a8a6\",\"3f60c13c90069a78\",\"3f6102c751282e85\",\"3f6128060d27d2fb\",\"3f616106b67a375e\",\"3f61807ea7dec204\",\"3f61721815c84e22\",\"3f614e4cffc741b6\",\"3f6117d400eb8b59\",\"3f60d30710c0fc50\",\"3f6037ae05602a94\",\"3f5e1939687e98ec\",\"3f5ab9a41159cb9d\",\"3f5708658862d890\",\"3f530f1467026087\"]},\"invariants\":{\"thrust_balance_gap\":3.996403280793544e-15,\"thrust_balance_gap_hex\":\"3cf1ff8a0e7be721\",\"worst_ring_balance_gap\":6.472976244084764e-14,\"worst_ring_balance_gap_hex\":\"3d3238455c984311\"},\"field_sha256\":\"a95cb73b92bb9905a1fb5fe09a1a458d18a6207e6e5f04b69280c263106c77bb\",\"seal_parts\":{\"inputs\":\"d1f6afabeebf6bacf0369d636c70c89c429b129d18301f301ea8d2758ce14b52\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"5d04a4937b57a5cf8c05abe2a5c78ec7d43f59714fd84b6ce46f252a167d604e\",\"invariants\":\"10a4111b655804fb0c7d2226a0e91608892b580fc59b8cd9e4bf02ee2181eb90\",\"field_sha256\":\"8dfee204ec75f6d58b42f26101d45c116b7e95ff7939fd97f24a34c914bef0ef\",\"outcome\":\"4c80b494a07551b73d321708e135cd721afa800a7693e3f3b8349ae85959540e\"},\"solution_seal\":\"b517fdc196e346e283fec94042452f839ad0757f8e08e7869c4b867d7c862c73\",\"receipt_sha256\":\"9e6ca0ed3bb3d17f6638533d276520609e45d043ece68d84bdfa31ba34b900bf\"}", "outside_request": "{\"solver\": \"propeller_apc_10x7e\", \"parameters\": {\"rotational_speed_rev_per_min\": 4143.999999999999, \"airspeed_m_s\": 0.0, \"air_density_kg_m3\": 1.225}}", "outside_answer": "Physical Violation: rotational speed 4143.999999999999 rev/min is outside 4144..=6542 rev/min, the speeds compared with measurement at zero airspeed (RotationalSpeedOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-5bbe767cb500", "model": "propeller_apc_10x7e", "solver": "propeller_apc_10x7e", "tool": "solve", "specimen": "Thrust and shaft power of the APC Thin Electric 10x7 propeller at one rotational speed, airspeed and air density, by blade-element momentum theory on its measured blade geometry, with two blade-section constants fitted to this propeller's own measured thrust and power; on the measurements held back from the fit it missed both of its lines, by up to 10.2 percent of full scale at speeds never fitted and 11.8 at rest.", "base": "example_solve_at_rest", "input": "parameters.rotational_speed_rev_per_min", "input_unit": "rev/min", "whole_number_input": false, "base_value": 6000.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 6542.0, "inside_value_hex": "40b98e0000000000", "outside_value": 6542.000000000001, "outside_value_hex": "40b98e0000000001", "width": 9.094947017729282e-13, "adjacent_64_bit_numbers": true, "stop_name": "RotationalSpeedOutOfRange", "stop_sentence": "Physical Violation: rotational speed 6542.000000000001 rev/min is outside 4144..=6542 rev/min, the speeds compared with measurement at zero airspeed (RotationalSpeedOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 1326, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "bfb24f1ea8141000ee15e7a648990f94e759044a9d5f56016984586040aa9145", "outside_proof": null, "inside_receipt": "8add5278416fbb8e262615033b9c1b451c9315952dd5bab492d6e40a5a95f162", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:45:49Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"propeller_apc_10x7e\", \"parameters\": {\"rotational_speed_rev_per_min\": 6542.0, \"airspeed_m_s\": 0.0, \"air_density_kg_m3\": 1.225}}", "inside_answer": "{\"inputs\":{\"solver\":\"propeller_apc_10x7e\",\"parameters\":{\"rotational_speed_rev_per_min\":6542.0,\"airspeed_m_s\":0.0,\"air_density_kg_m3\":1.225}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":1326,\"result\":{\"advance_ratio\":0.0e0,\"advance_ratio_hex\":\"0000000000000000\",\"thrust_coefficient\":1.0710276997979704e-1,\"thrust_coefficient_hex\":\"3fbb6b164e5fce1e\",\"power_coefficient\":4.739083783481767e-2,\"power_coefficient_hex\":\"3fa8439ca542db8f\",\"thrust_n\":6.4921752855203e0,\"thrust_n_hex\":\"4019f7fccc4cd62c\",\"torque_n_m\":1.1612821993319929e-1,\"torque_n_m_hex\":\"3fbdba943ac17b35\",\"shaft_power_w\":7.955673048792627e1,\"shaft_power_w_hex\":\"4053e3a178e99516\",\"efficiency\":0.0e0,\"efficiency_hex\":\"0000000000000000\",\"ring_inflow_angle_rad\":[2.75517126983847e-1,2.60145398830835e-1,2.5052213265299295e-1,2.4550378393599917e-1,2.4127424236603223e-1,2.3759386209989503e-1,2.3319681508843426e-1,2.2815050468864603e-1,2.2295541838731403e-1,2.1761833502606653e-1,2.1189583627441988e-1,2.0581085269562965e-1,1.9978078516898773e-1,1.9378578824489706e-1,1.876991838908085e-1,1.8150256057124897e-1,1.7529660778854372e-1,1.6905846338129277e-1,1.6301226317326412e-1,1.5713742428201116e-1,1.511698164984453e-1,1.4508211754667744e-1,1.3923259231123944e-1,1.3359658127269533e-1,1.2805907195136762e-1,1.2262508537030939e-1,1.1760118169301595e-1,1.1306245654896094e-1,1.0914342109314447e-1,1.0525060999196761e-1,1.0099825150903488e-1,9.687666136670003e-2,9.535923723903925e-2,1.0538125501026421e-1],\"ring_inflow_angle_rad_hex\":[\"3fd1a21296788b4c\",\"3fd0a638e30bbb66\",\"3fd0088dfbaacd44\",\"3fcf6cab018651a5\",\"3fcee2130a2a260c\",\"3fce6979c5b98562\",\"3fcdd964ab2b0818\",\"3fcd3409261a1087\",\"3fcc89cd9b3841e4\",\"3fcbdaeae7f934e8\",\"3fcb1f671b7a85a8\",\"3fca580290beab4e\",\"3fc9926ab155c2b2\",\"3fc8cdf903788042\",\"3fc80686e026013b\",\"3fc73b79d4e59a5e\",\"3fc6701e86c698ac\",\"3fc5a3b52daad656\",\"3fc4dd95f9968aec\",\"3fc41d1441226bc8\",\"3fc3598855006704\",\"3fc2920d030c77d8\",\"3fc1d25fa341cd31\",\"3fc119b159b63997\",\"3fc0643d5afe5db6\",\"3fbf645b8b55ae0a\",\"3fbe1b1c6d57ab4a\",\"3fbcf1a941488056\",\"3fbbf0d2c02b2a29\",\"3fbaf1b437ccaf6c\",\"3fb9db057b2f3a92\",\"3fb8cce8ac50ce00\",\"3fb8697685502c7e\",\"3fbafa4413e169d2\"],\"ring_thrust_n\":[1.1737271645965337e-2,1.5370901947583721e-2,2.0437810406774937e-2,2.785183968591708e-2,3.740409665305018e-2,4.959748059183546e-2,6.34305776470685e-2,7.860226889796774e-2,9.51179938320812e-2,1.1272679784332652e-1,1.3087635030501055e-1,1.4912430698885945e-1,1.6771419726840883e-1,1.8636144201522725e-1,2.045945334258279e-1,2.220023491576151e-1,2.3845159645132671e-1,2.535622841488914e-1,2.6772376079577e-1,2.8071669742413785e-1,2.914402199814106e-1,2.9943039703231344e-1,3.057843364256253e-1,3.100963429826756e-1,3.1184150080482975e-1,3.1083952885007415e-1,3.0818621467370594e-1,3.038628225177911e-1,2.978542504236564e-1,2.8632900705286735e-1,2.660046765483306e-1,2.3655099825497097e-1,2.0052764421779876e-1,1.5002278862160623e-1],\"ring_thrust_n_hex\":[\"3f8809b5eee8d5e4\",\"3f8f7ac789662f3d\",\"3f94eda63d321f1d\",\"3f9c8531525679bd\",\"3fa326a137b8f8da\",\"3fa964d74a363c33\",\"3fb03cfc808f8010\",\"3fb41f473e4ee431\",\"3fb859a720c51960\",\"3fbcdba9d61eb129\",\"3fc0c08e66309f40\",\"3fc316815ac724f7\",\"3fc577a8a82bdddf\",\"3fc7dab115586c2e\",\"3fca302757008d38\",\"3fcc6a92aea23151\",\"3fce8594f837fdf7\",\"3fd03a5d4d7ac97d\",\"3fd12262d73eb7a6\",\"3fd1f7432ab82dde\",\"3fd2a6f4e163ca01\",\"3fd329de1caba73a\",\"3fd391f87724ef92\",\"3fd3d89e54ee110d\",\"3fd3f5360ddf81de\",\"3fd3e4cb7aadc47a\",\"3fd3b952ac4680a7\",\"3fd3727d0d4bc95d\",\"3fd3100b4622d425\",\"3fd25336e64c0bc6\",\"3fd106387a96ebbc\",\"3fce474d98abae31\",\"3fc9aae3ccedffcf\",\"3fc333f25d646b24\"],\"ring_torque_n_m\":[1.4712960869669173e-4,2.679351730829084e-4,4.352344953339728e-4,6.408922664401998e-4,8.764038053389492e-4,1.1144077656334067e-3,1.3702099463479905e-3,1.6401234139363573e-3,1.9254377408814054e-3,2.2260959209583673e-3,2.5341661022006932e-3,2.847120511115587e-3,3.163876745575654e-3,3.4823656246504102e-3,3.7862133068576782e-3,4.068663289713923e-3,4.329444684647227e-3,4.563082230265011e-3,4.774522482201297e-3,4.961141771168404e-3,5.097200036599956e-3,5.175088193920363e-3,5.2193491010207975e-3,5.28708926095982e-3,5.324485514308008e-3,5.3073721942132395e-3,5.2648365051817135e-3,5.200102855748811e-3,5.118342358918803e-3,4.93373165939851e-3,4.57832864513458e-3,4.0652003687482886e-3,3.5035504009957837e-3,2.8990759530045e-3],\"ring_torque_n_m_hex\":[\"3f2348d9b71ab2cf\",\"3f318f34ce4b7a2c\",\"3f3c8605ec6dcdda\",\"3f450031a98d25bb\",\"3f4cb7ced74c749c\",\"3f52422a3a197597\",\"3f567313ba2040a1\",\"3f5adf2d1b27159e\",\"3f5f8bdf082a1a59\",\"3f623c7625b46e2b\",\"3f64c2881102bbf8\",\"3f6752d82f74d61c\",\"3f69eb2164d38963\",\"3f6c870ccf0f0ed3\",\"3f6f0443ca842ae8\",\"3f70aa4d7c48bba4\",\"3f71bbc07549526d\",\"3f72b0bd0f2aca6f\",\"3f738e731ea421d1\",\"3f7452225a871e3a\",\"3f74e0cd37557871\",\"3f75327928bfb533\",\"3f7560e25b1fe9cc\",\"3f75a7ea37783d32\",\"3f75cf20b26e8126\",\"3f75bd2ee0078f47\",\"3f759094c9bc96f3\",\"3f754cb3fb386e99\",\"3f74f6f890a91d59\",\"3f74356481fd5d26\",\"3f72c0b9bcd1afc3\",\"3f70a6abea2ad932\",\"3f6cb37a4c8c9cba\",\"3f67bfcd8d044baa\"]},\"invariants\":{\"thrust_balance_gap\":3.996403280793544e-15,\"thrust_balance_gap_hex\":\"3cf1ff8a0e7be721\",\"worst_ring_balance_gap\":6.472976244084764e-14,\"worst_ring_balance_gap_hex\":\"3d3238455c984311\"},\"field_sha256\":\"fbe8c91e376897132113895656b27712358c67d8c6ea01b77f9fed25d3e83bb5\",\"seal_parts\":{\"inputs\":\"e94bd79bf138bc04b0421302f30bbd395af6fa179be18b3b29d7f52dfa569c59\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"95f175fad16d3a83d72741fab048b10f550808ad33a9e755edd46ace6f9ed6c7\",\"invariants\":\"10a4111b655804fb0c7d2226a0e91608892b580fc59b8cd9e4bf02ee2181eb90\",\"field_sha256\":\"e9cd25ca495af5f0b4a3af20687327ec011224df7f2bf2a0a78a7db362b0356e\",\"outcome\":\"4c80b494a07551b73d321708e135cd721afa800a7693e3f3b8349ae85959540e\"},\"solution_seal\":\"bfb24f1ea8141000ee15e7a648990f94e759044a9d5f56016984586040aa9145\",\"receipt_sha256\":\"8add5278416fbb8e262615033b9c1b451c9315952dd5bab492d6e40a5a95f162\"}", "outside_request": "{\"solver\": \"propeller_apc_10x7e\", \"parameters\": {\"rotational_speed_rev_per_min\": 6542.000000000001, \"airspeed_m_s\": 0.0, \"air_density_kg_m3\": 1.225}}", "outside_answer": "Physical Violation: rotational speed 6542.000000000001 rev/min is outside 4144..=6542 rev/min, the speeds compared with measurement at zero airspeed (RotationalSpeedOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-65c91cd6fc91", "model": "propeller_apc_10x7e", "solver": "propeller_apc_10x7e", "tool": "solve", "specimen": "Thrust and shaft power of the APC Thin Electric 10x7 propeller at one rotational speed, airspeed and air density, by blade-element momentum theory on its measured blade geometry, with two blade-section constants fitted to this propeller's own measured thrust and power; on the measurements held back from the fit it missed both of its lines, by up to 10.2 percent of full scale at speeds never fitted and 11.8 at rest.", "base": "example_solve_at_rest", "input": "parameters.airspeed_m_s", "input_unit": "m/s", "whole_number_input": false, "base_value": 0.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 2.819399999999998, "inside_value_hex": "40068e219652bd38", "outside_value": 2.8193999999999977, "outside_value_hex": "40068e219652bd37", "width": 4.440892098500626e-16, "adjacent_64_bit_numbers": true, "stop_name": "AdvanceRatioOutOfRange", "stop_sentence": "Physical Violation: advance ratio 0.11099999999999992 is outside 0.111..=0.748, the advance ratios compared with measurement, by more than the allowance of 5 units in the last place below (ADVANCE_RATIO_MIN_ALLOWANCE_ULP) and 4 above (ADVANCE_RATIO_MAX_ALLOWANCE_ULP), and the airspeed is not zero (AdvanceRatioOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 1326, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "e4d6832b5874947529f06ddfe1086bdd79f4c7f38ccf58abd8a2634d7616d9fd", "outside_proof": null, "inside_receipt": "72ad7e597bbafc43d68cf15a98842a83b55ae7143052cf2ef3484c79f3e10f05", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:45:50Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"propeller_apc_10x7e\", \"parameters\": {\"rotational_speed_rev_per_min\": 6000.0, \"airspeed_m_s\": 2.819399999999998, \"air_density_kg_m3\": 1.225}}", "inside_answer": "{\"inputs\":{\"solver\":\"propeller_apc_10x7e\",\"parameters\":{\"rotational_speed_rev_per_min\":6000.0,\"airspeed_m_s\":2.819399999999998,\"air_density_kg_m3\":1.225}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":1326,\"result\":{\"advance_ratio\":1.1099999999999993e-1,\"advance_ratio_hex\":\"3fbc6a7ef9db22cc\",\"thrust_coefficient\":1.0500325377365402e-1,\"thrust_coefficient_hex\":\"3fbae17e44ee725e\",\"power_coefficient\":5.095073313594371e-2,\"power_coefficient_hex\":\"3faa1636e90d5d36\",\"thrust_n\":5.353942616328709e0,\"thrust_n_hex\":\"40156a6feee72b80\",\"torque_n_m\":1.0502078034589965e-1,\"torque_n_m_hex\":\"3fbae2a450fc6d06\",\"shaft_power_w\":6.598650240178914e1,\"shaft_power_w_hex\":\"40507f22daf84707\",\"efficiency\":2.2875747710592206e-1,\"efficiency_hex\":\"3fcd47eccd7154eb\",\"ring_inflow_angle_rad\":[4.136123608051532e-1,3.80166771111937e-1,3.559260708187416e-1,3.38736567867275e-1,3.2446534176440867e-1,3.123322185004721e-1,3.0099165974600206e-1,2.9016984450416616e-1,2.801111571199777e-1,2.706384045597854e-1,2.613662773288239e-1,2.522117163801292e-1,2.4350139883190658e-1,2.3515321219442203e-1,2.269864666592935e-1,2.189436182178533e-1,2.1109383101309948e-1,2.0338808979360593e-1,1.9599101404204297e-1,1.8890860744276594e-1,1.818638539853754e-1,1.7481628555257805e-1,1.6745863266124283e-1,1.598869505547526e-1,1.528433404350524e-1,1.4630585012020925e-1,1.3992147783231992e-1,1.3374993974616564e-1,1.28514991175341e-1,1.243627025973636e-1,1.1995731176411534e-1,1.1567430075362967e-1,1.1380239057448653e-1,1.2238169789706504e-1],\"ring_inflow_angle_rad_hex\":[\"3fda789ffab8497c\",\"3fd854a7023ce870\",\"3fd6c77e247d7526\",\"3fd5addc243cc032\",\"3fd4c40a47e411fe\",\"3fd3fd4045fc95fa\",\"3fd3437285be94e8\",\"3fd292248a1b9236\",\"3fd1ed5758c4cd28\",\"3fd15223be280eac\",\"3fd0ba399f59e464\",\"3fd0243c9c6152dc\",\"3fcf2b0dc841b388\",\"3fce19801df65272\",\"3fcd0de47d77d75e\",\"3fcc06582ff4f082\",\"3fcb051f664b57aa\",\"3fca089ef5079c05\",\"3fc9163bc9cf6af3\",\"3fc82e2841732580\",\"3fc74750949889d8\",\"3fc660614aa0d5a6\",\"3fc56f48d35b40d0\",\"3fc4772cf3d84c66\",\"3fc3905ede4a3b9f\",\"3fc2ba266cbd6950\",\"3fc1e8f26da61e69\",\"3fc11eb7d0869fcf\",\"3fc0732de21268a2\",\"3fbfd63bec7f7328\",\"3fbeb585baf16544\",\"3fbd9cd4bab97954\",\"3fbd222749b95a93\",\"3fbf54682e18caec\"],\"ring_thrust_n\":[1.166711450900585e-2,1.5193695690702636e-2,1.989605963242201e-2,2.6608371967647242e-2,3.509004158712565e-2,4.569497585663633e-2,5.758087686652278e-2,7.050078398192529e-2,8.448599871097466e-2,9.933916110444158e-2,1.1459354116816939e-1,1.2989054216455037e-1,1.454478550780502e-1,1.6103324388093535e-1,1.7623802659118024e-1,1.907211689729664e-1,2.043809914899095e-1,2.1690146162697488e-1,2.2826527864584548e-1,2.386407669781359e-1,2.471422738038371e-1,2.533920937386899e-1,2.561021837753632e-1,2.5523849633579515e-1,2.532200348013389e-1,2.4996337451467737e-1,2.4404852963326965e-1,2.3547164418178845e-1,2.2662806648483844e-1,2.1735189964109808e-1,2.0151392040461405e-1,1.7863909550423018e-1,1.5083876656863354e-1,1.1222228043641314e-1],\"ring_thrust_n_hex\":[\"3f87e4ed9a09f7d4\",\"3f8f1ddf50c68a8d\",\"3f945fa1f5c3173c\",\"3f9b3f399d9a77eb\",\"3fa1f7526a106049\",\"3fa76554f5caa166\",\"3fad7b3d9e088f4d\",\"3fb20c56e18b7369\",\"3fb5a0dfd96efc1b\",\"3fb96e4a9027d8cc\",\"3fbd560097a66e14\",\"3fc0a040d75406a6\",\"3fc29e090a6ab286\",\"3fc49cbcc204c9d5\",\"3fc68ef7b842a637\",\"3fc8698d1fb26767\",\"3fca2928052fc588\",\"3fcbc36d56123c00\",\"3fcd37cbf14c5161\",\"3fce8bc7d8d4ebf2\",\"3fcfa25ba7b928cf\",\"3fd0379378eb0c87\",\"3fd063fa69eff5a0\",\"3fd055d3d89c5133\",\"3fd034c1ce0a7a98\",\"3fcffeccc35e81e6\",\"3fcf3cfb72b4b535\",\"3fce23ef5172b464\",\"3fcd022602f43c73\",\"3fcbd22fe2574b76\",\"3fc9cb3548e9ccdd\",\"3fc6dda5587d24ec\",\"3fc34eaf48b0cd1a\",\"3fbcba99705b6018\"],\"ring_torque_n_m\":[1.4494673635396206e-4,2.533222308363427e-4,4.0451300274435396e-4,5.87560292386322e-4,7.939946536613727e-4,1.0011390651159461e-3,1.2254595916320727e-3,1.4642397474164159e-3,1.719187545793454e-3,1.990061901047649e-3,2.269185218095051e-3,2.5533486600456605e-3,2.8423984941021965e-3,3.1339088291686187e-3,3.413751879049208e-3,3.6754942710007926e-3,3.918560220464745e-3,4.137495151937055e-3,4.391512872881778e-3,4.6335583043501044e-3,4.832154422231995e-3,4.977231693812842e-3,5.0342675777384615e-3,5.003795721585285e-3,4.952494276296551e-3,4.879353296452235e-3,4.748896799166161e-3,4.564243818838079e-3,4.3911983185903015e-3,4.230169723572903e-3,3.929190276695133e-3,3.4895767380281467e-3,2.9978304358986396e-3,2.43673857890983e-3],\"ring_torque_n_m_hex\":[\"3f22ff9afc0f08bd\",\"3f309a0ab260f374\",\"3f3a829a1e1a9fe3\",\"3f4340d01ebfc5ea\",\"3f4a0482890bdc31\",\"3f506714e2c768e3\",\"3f5413f337979f36\",\"3f57fd777508b68f\",\"3f5c2acb923b5d96\",\"3f604d76590644d3\",\"3f6296d3899bef05\",\"3f64eac29faf912f\",\"3f6748f112613a39\",\"3f69ac487dc1f1cc\",\"3f6bf72815ab6ab0\",\"3f6e1c11f6194320\",\"3f700ce87fe8a9e0\",\"3f70f27a65d6bef4\",\"3f71fcd5c2b42f1d\",\"3f72faa35619c699\",\"3f73cae1936740b5\",\"3f7463017597b823\",\"3f749ecfe9b0f24e\",\"3f747edc2fae6192\",\"3f7449110f3483a9\",\"3f73fc5f6d579f49\",\"3f737394471ca9aa\",\"3f72b1f4deed1343\",\"3f71fc8152b2913b\",\"3f7153a789e88ce1\",\"3f70180dfbcf87fa\",\"3f6c962c3eef50a0\",\"3f688ee7f5cbe217\",\"3f63f636102b933f\"]},\"invariants\":{\"thrust_balance_gap\":5.0546249661222075e-15,\"thrust_balance_gap_hex\":\"3cf6c395f86038c2\",\"worst_ring_balance_gap\":6.787367661010906e-14,\"worst_ring_balance_gap_hex\":\"3d331ad0577e2267\"},\"field_sha256\":\"e8774a1bad4a1d1bb6248016d9d40ea3ba2df956846e745feafc47f8b812b92f\",\"seal_parts\":{\"inputs\":\"c280163e6796644ecde154e8022212a6495ce87a7af0f3ffc8fb5da3a75ca261\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"502c4b0c2c090dd6d0668bfd9ac96ee6b37e3d29efcd9f4c5230e0af1603ab35\",\"invariants\":\"4afdad134d3166a08c3ef19b60cd684a670248abfff0d2bb0e0af11ddfe05891\",\"field_sha256\":\"7dc32e898500677ec1a8175563d33a2990cda6b8f2dd36fc441473489198f35c\",\"outcome\":\"4c80b494a07551b73d321708e135cd721afa800a7693e3f3b8349ae85959540e\"},\"solution_seal\":\"e4d6832b5874947529f06ddfe1086bdd79f4c7f38ccf58abd8a2634d7616d9fd\",\"receipt_sha256\":\"72ad7e597bbafc43d68cf15a98842a83b55ae7143052cf2ef3484c79f3e10f05\"}", "outside_request": "{\"solver\": \"propeller_apc_10x7e\", \"parameters\": {\"rotational_speed_rev_per_min\": 6000.0, \"airspeed_m_s\": 2.8193999999999977, \"air_density_kg_m3\": 1.225}}", "outside_answer": "Physical Violation: advance ratio 0.11099999999999992 is outside 0.111..=0.748, the advance ratios compared with measurement, by more than the allowance of 5 units in the last place below (ADVANCE_RATIO_MIN_ALLOWANCE_ULP) and 4 above (ADVANCE_RATIO_MAX_ALLOWANCE_ULP), and the airspeed is not zero (AdvanceRatioOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-6876be0ee22f", "model": "propeller_apc_10x7e", "solver": "propeller_apc_10x7e", "tool": "solve", "specimen": "Thrust and shaft power of the APC Thin Electric 10x7 propeller at one rotational speed, airspeed and air density, by blade-element momentum theory on its measured blade geometry, with two blade-section constants fitted to this propeller's own measured thrust and power; on the measurements held back from the fit it missed both of its lines, by up to 10.2 percent of full scale at speeds never fitted and 11.8 at rest.", "base": "example_solve_at_rest", "input": "parameters.airspeed_m_s", "input_unit": "m/s", "whole_number_input": false, "base_value": 0.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 18.99920000000001, "inside_value_hex": "4032ffcb923a29ca", "outside_value": 18.999200000000013, "outside_value_hex": "4032ffcb923a29cb", "width": 3.552713678800501e-15, "adjacent_64_bit_numbers": true, "stop_name": "AdvanceRatioOutOfRange", "stop_sentence": "Physical Violation: advance ratio 0.7480000000000006 is outside 0.111..=0.748, the advance ratios compared with measurement, by more than the allowance of 5 units in the last place below (ADVANCE_RATIO_MIN_ALLOWANCE_ULP) and 4 above (ADVANCE_RATIO_MAX_ALLOWANCE_ULP), and the airspeed is not zero (AdvanceRatioOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 1326, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "9788c3540e20e2c202a0ef89965b441d233bae8d2ce9b54977f781563456fe4e", "outside_proof": null, "inside_receipt": "883b6a4c1c546eeef3ee2c1cdd0c95973a4a6d00b8d3a720d00779f45a17bf39", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:45:52Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"propeller_apc_10x7e\", \"parameters\": {\"rotational_speed_rev_per_min\": 6000.0, \"airspeed_m_s\": 18.99920000000001, \"air_density_kg_m3\": 1.225}}", "inside_answer": "{\"inputs\":{\"solver\":\"propeller_apc_10x7e\",\"parameters\":{\"rotational_speed_rev_per_min\":6000.0,\"airspeed_m_s\":18.99920000000001,\"air_density_kg_m3\":1.225}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":1326,\"result\":{\"advance_ratio\":7.480000000000004e-1,\"advance_ratio_hex\":\"3fe7ef9db22d0e5a\",\"thrust_coefficient\":1.3884094389283421e-2,\"thrust_coefficient_hex\":\"3f8c6f439ab140ce\",\"power_coefficient\":1.7795304580887378e-2,\"power_coefficient_hex\":\"3f9238eeacca0138\",\"thrust_n\":7.079270591000091e-1,\"thrust_n_hex\":\"3fe6a756a5d93748\",\"torque_n_m\":3.668007619421941e-2,\"torque_n_m_hex\":\"3fa2c7bb1f5681fe\",\"shaft_power_w\":2.3046771580974713e1,\"shaft_power_w_hex\":\"40370bf938eaab2a\",\"efficiency\":5.835979123581898e-1,\"efficiency_hex\":\"3fe2acd58772f41e\",\"ring_inflow_angle_rad\":[8.902704252998597e-1,8.727263728080399e-1,8.417402107831511e-1,8.000188105421853e-1,7.558457537282246e-1,7.089185545921362e-1,6.665276575850454e-1,6.283449407141293e-1,5.938744420334132e-1,5.628427185109994e-1,5.34831453081942e-1,5.096269610953494e-1,4.865960075451481e-1,4.65573605449213e-1,4.46086134142458e-1,4.280117840201173e-1,4.112652405038185e-1,3.9574824716335655e-1,3.8127727137774026e-1,3.677787418894657e-1,3.5506501352067976e-1,3.4307962099403955e-1,3.3180669653664097e-1,3.212018619130116e-1,3.113793809328542e-1,3.022888533620941e-1,2.933946482932417e-1,2.846955320597162e-1,2.767733667069373e-1,2.696126152016214e-1,2.623739518903192e-1,2.550812615550614e-1,2.4821620971901348e-1,2.423632821798949e-1],\"ring_inflow_angle_rad_hex\":[\"3fec7d18672848fa\",\"3febed5fdbb226ca\",\"3feaef892aa15644\",\"3fe999c10c6ed50a\",\"3fe82fe36f22a988\",\"3fe6af75f6f006ae\",\"3fe55431cf66a1d8\",\"3fe41b66d95f2d02\",\"3fe30104f94ed71a\",\"3fe202cebb997cbc\",\"3fe11d56d9fb7dbe\",\"3fe04edd33620f7c\",\"3fdf246394b15130\",\"3fddcbf53c524058\",\"3fdc8cacdb55d1bc\",\"3fdb648b89aad136\",\"3fda522b717c82aa\",\"3fd953f074c1052e\",\"3fd866d8c8d1a1fa\",\"3fd789afd92512ee\",\"3fd6b9629b419b86\",\"3fd5f5043a05fb7e\",\"3fd53c52278dfeae\",\"3fd48e9241152a12\",\"3fd3eda3c8705768\",\"3fd358b358c8ac96\",\"3fd2c6fa58cf6ad4\",\"3fd238739be0e21c\",\"3fd1b6a7a39a3f42\",\"3fd14155453851dc\",\"3fd0cabc1dac3c98\",\"3fd053405b0ce3ea\",\"3fcfc58c7b8a4550\",\"3fcf05c2915b6008\"],\"ring_thrust_n\":[-2.3172934286239844e-2,-1.1316620732820073e-2,-1.1922206017712879e-3,5.836637485375526e-3,1.0941356002829996e-2,1.179067315297006e-2,1.242810911861625e-2,1.3030317492688482e-2,1.3624382699506827e-2,1.4470987350518083e-2,1.5641653361480996e-2,1.7457909930548854e-2,1.9432406554083608e-2,2.1740174446144574e-2,2.382029986345113e-2,2.5718939749255227e-2,2.756174935071893e-2,2.943841193780923e-2,3.1134497660656096e-2,3.2712249780331035e-2,3.380528815253952e-2,3.442488283104472e-2,3.471939996763188e-2,3.4737600255083205e-2,3.520095690219452e-2,3.614516854947917e-2,3.533571721013188e-2,3.2840210870783274e-2,3.142330833711185e-2,3.1033753952099258e-2,2.7952078432749456e-2,2.25030749552477e-2,1.6586433069570753e-2,1.012020529818812e-2],\"ring_thrust_n_hex\":[\"bf97baa54ba5a3b0\",\"bf872d2b1f96eedb\",\"bf5388891fa16267\",\"3f77e82871e489e3\",\"3f86686bf1a5fc8e\",\"3f8825b55cb7f9a3\",\"3f8973e891b98001\",\"3f8aafa39be6978d\",\"3f8be719b0fb05fd\",\"3f8da2f70b4a5a33\",\"3f90045d96925c12\",\"3f91e07c80d537e0\",\"3f93e616ba878abb\",\"3f96430e6905a892\",\"3f9864594393e6ff\",\"3f9a5610d4718185\",\"3f9c3925b053da32\",\"3f9e251a62138634\",\"3f9fe1b8c4eb6c98\",\"3fa0bfa8f5f85fae\",\"3fa14eed3e181227\",\"3fa1a02363db1ec0\",\"3fa1c6bdbecba245\",\"3fa1c9207212ff3f\",\"3fa205dc1d5d9c04\",\"3fa2819e99a826c5\",\"3fa21785eb98b065\",\"3fa0d06e9f5e1582\",\"3fa016b74347b0a4\",\"3f9fc74ff92f7d78\",\"3f9c9f783ae54255\",\"3f970b0bcbf809f8\",\"3f90fc08ae5d4921\",\"3f84b9e6f646b478\"],\"ring_torque_n_m\":[-5.013795415450931e-4,-2.7365522094658826e-4,1.953619777872043e-5,2.5299709854055904e-4,4.3445419894566487e-4,4.7835160591450505e-4,5.179330863529886e-4,5.58906873756161e-4,6.025466093053853e-4,6.571787205409335e-4,7.243299589134928e-4,8.13892790183384e-4,9.10710114714242e-4,1.0201800439622157e-3,1.1232710794981152e-3,1.2207720877172633e-3,1.3165522638702554e-3,1.412793832927719e-3,1.503144269250165e-3,1.5891296156270252e-3,1.6563340738615655e-3,1.703908820259679e-3,1.7387393838328075e-3,1.761914228168361e-3,1.7951616719963852e-3,1.8387801215610034e-3,1.821643574248912e-3,1.745799308098149e-3,1.7016267926888982e-3,1.6872100541064465e-3,1.5673330892626786e-3,1.3497900579987428e-3,1.1039495844504686e-3,8.262397483782069e-4],\"ring_torque_n_m_hex\":[\"bf406de05dedcd5f\",\"bf31ef2c396eb0bb\",\"3ef47c3549ec7b4d\",\"3f30949643a39141\",\"3f3c78ee937a13e6\",\"3f3f596880de4a4b\",\"3f40f8bcd56d715d\",\"3f4250735f44f872\",\"3f43be86fd9aa8b6\",\"3f4588d08e617fbd\",\"3f47bc1ebe1600be\",\"3f4aab6d7548eb5f\",\"3f4dd7971454acd1\",\"3f50b6f1fb30bc34\",\"3f52675723435f11\",\"3f54004a0c53cf14\",\"3f5592053aaccf76\",\"3f5725afd3bd1271\",\"3f58a0a4de90fc8f\",\"3f5a094aee9b3529\",\"3f5b232b2b6c5002\",\"3f5beab62a22eb2b\",\"3f5c7ccd328c8f5a\",\"3f5cde00ff40f739\",\"3f5d69742b0642de\",\"3f5e20671f2519a4\",\"3f5dd886e4e33509\",\"3f5c9a69bbc119f9\",\"3f5be123db2c957f\",\"3f5ba4ac003f6630\",\"3f59addf170f8364\",\"3f561d6e09f4de27\",\"3f52164cd7253bc7\",\"3f4b130059561648\"]},\"invariants\":{\"thrust_balance_gap\":2.744527566669292e-14,\"thrust_balance_gap_hex\":\"3d1ee68fe7af9fed\",\"worst_ring_balance_gap\":8.688887614944945e-13,\"worst_ring_balance_gap_hex\":\"3d6e92411393f57f\"},\"field_sha256\":\"b13f5d113a26d24f893c197c8f0a4801d7b358f57ace3d48c609f9b063352392\",\"seal_parts\":{\"inputs\":\"492440709f6fd2338555ea49a3a729c53b76294be7f8f3e2240ec483f43dae71\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"4d2a6fd037caef83daf12f9a8ebbd31d435f66d052aeef3bfd5cc1a0792b9e4a\",\"invariants\":\"5c14a3f16cfa91f28784ec55921af8be17be60abb5c1e35e10a95ec856189455\",\"field_sha256\":\"86d31d979598119ec3841af9faaa11ac70a6fc742a1d3055ac8c57210a254c96\",\"outcome\":\"4c80b494a07551b73d321708e135cd721afa800a7693e3f3b8349ae85959540e\"},\"solution_seal\":\"9788c3540e20e2c202a0ef89965b441d233bae8d2ce9b54977f781563456fe4e\",\"receipt_sha256\":\"883b6a4c1c546eeef3ee2c1cdd0c95973a4a6d00b8d3a720d00779f45a17bf39\"}", "outside_request": "{\"solver\": \"propeller_apc_10x7e\", \"parameters\": {\"rotational_speed_rev_per_min\": 6000.0, \"airspeed_m_s\": 18.999200000000013, \"air_density_kg_m3\": 1.225}}", "outside_answer": "Physical Violation: advance ratio 0.7480000000000006 is outside 0.111..=0.748, the advance ratios compared with measurement, by more than the allowance of 5 units in the last place below (ADVANCE_RATIO_MIN_ALLOWANCE_ULP) and 4 above (ADVANCE_RATIO_MAX_ALLOWANCE_ULP), and the airspeed is not zero (AdvanceRatioOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-659407f6155a", "model": "propeller_apc_10x7e", "solver": "propeller_apc_10x7e", "tool": "solve", "specimen": "Thrust and shaft power of the APC Thin Electric 10x7 propeller at one rotational speed, airspeed and air density, by blade-element momentum theory on its measured blade geometry, with two blade-section constants fitted to this propeller's own measured thrust and power; on the measurements held back from the fit it missed both of its lines, by up to 10.2 percent of full scale at speeds never fitted and 11.8 at rest.", "base": "example_solve_at_rest", "input": "parameters.air_density_kg_m3", "input_unit": "kg/m³", "whole_number_input": false, "base_value": 1.225, "edge_kind": "declared_limit", "direction": "down", "inside_value": 1.0, "inside_value_hex": "3ff0000000000000", "outside_value": 0.9999999999999999, "outside_value_hex": "3fefffffffffffff", "width": 1.1102230246251565e-16, "adjacent_64_bit_numbers": true, "stop_name": "AirDensityOutOfRange", "stop_sentence": "Physical Violation: air density 0.9999999999999999 kg/m³ is outside 1..=1.3 kg/m³ (AirDensityOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 1326, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "2512d928e4734d079835922891d86ecb867a36e28b40dc43280c727ab8b14b10", "outside_proof": null, "inside_receipt": "0c614edc26654e8684a7a848bfd2503c7ac480685f72ed52daa1b47723847844", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:45:54Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"propeller_apc_10x7e\", \"parameters\": {\"rotational_speed_rev_per_min\": 6000.0, \"airspeed_m_s\": 0.0, \"air_density_kg_m3\": 1.0}}", "inside_answer": "{\"inputs\":{\"solver\":\"propeller_apc_10x7e\",\"parameters\":{\"rotational_speed_rev_per_min\":6000.0,\"airspeed_m_s\":0.0,\"air_density_kg_m3\":1.0}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":1326,\"result\":{\"advance_ratio\":0.0e0,\"advance_ratio_hex\":\"0000000000000000\",\"thrust_coefficient\":1.0710276997979704e-1,\"thrust_coefficient_hex\":\"3fbb6b164e5fce1e\",\"power_coefficient\":4.739083783481767e-2,\"power_coefficient_hex\":\"3fa8439ca542db8f\",\"thrust_n\":4.45795386343998e0,\"thrust_n_hex\":\"4011d4f1db8a34cd\",\"torque_n_m\":7.974126143208779e-2,\"torque_n_m_hex\":\"3fb469ec5dfe1b3e\",\"shaft_power_w\":5.010291222060602e1,\"shaft_power_w_hex\":\"40490d2c3a46ee49\",\"efficiency\":0.0e0,\"efficiency_hex\":\"0000000000000000\",\"ring_inflow_angle_rad\":[2.75517126983847e-1,2.60145398830835e-1,2.5052213265299295e-1,2.4550378393599917e-1,2.4127424236603223e-1,2.3759386209989503e-1,2.3319681508843426e-1,2.2815050468864603e-1,2.2295541838731403e-1,2.1761833502606653e-1,2.1189583627441988e-1,2.0581085269562965e-1,1.9978078516898773e-1,1.9378578824489706e-1,1.876991838908085e-1,1.8150256057124897e-1,1.7529660778854372e-1,1.6905846338129277e-1,1.6301226317326412e-1,1.5713742428201116e-1,1.511698164984453e-1,1.4508211754667744e-1,1.3923259231123944e-1,1.3359658127269533e-1,1.2805907195136762e-1,1.2262508537030939e-1,1.1760118169301595e-1,1.1306245654896094e-1,1.0914342109314447e-1,1.0525060999196761e-1,1.0099825150903488e-1,9.687666136670003e-2,9.535923723903925e-2,1.0538125501026421e-1],\"ring_inflow_angle_rad_hex\":[\"3fd1a21296788b4c\",\"3fd0a638e30bbb66\",\"3fd0088dfbaacd44\",\"3fcf6cab018651a5\",\"3fcee2130a2a260c\",\"3fce6979c5b98562\",\"3fcdd964ab2b0818\",\"3fcd3409261a1087\",\"3fcc89cd9b3841e4\",\"3fcbdaeae7f934e8\",\"3fcb1f671b7a85a8\",\"3fca580290beab4e\",\"3fc9926ab155c2b2\",\"3fc8cdf903788042\",\"3fc80686e026013b\",\"3fc73b79d4e59a5e\",\"3fc6701e86c698ac\",\"3fc5a3b52daad656\",\"3fc4dd95f9968aec\",\"3fc41d1441226bc8\",\"3fc3598855006704\",\"3fc2920d030c77d8\",\"3fc1d25fa341cd31\",\"3fc119b159b63997\",\"3fc0643d5afe5db6\",\"3fbf645b8b55ae0a\",\"3fbe1b1c6d57ab4a\",\"3fbcf1a941488056\",\"3fbbf0d2c02b2a29\",\"3fbaf1b437ccaf6c\",\"3fb9db057b2f3a92\",\"3fb8cce8ac50ce00\",\"3fb8697685502c7e\",\"3fbafa4413e169d2\"],\"ring_thrust_n\":[8.059581446772707e-3,1.0554670616275016e-2,1.4033942685796462e-2,1.912490203532672e-2,2.568410892337514e-2,3.405688702127249e-2,4.3555599817622095e-2,5.397347928826927e-2,6.53142605425515e-2,7.740562166885502e-2,8.986829618978588e-2,1.0239854151142465e-1,1.1516358089313643e-1,1.27968003618289e-1,1.4048804146717886e-1,1.5244139084279615e-1,1.6373652418388623e-1,1.741125146089807e-1,1.8383671439618773e-1,1.9275851787383697e-1,2.0012199262789987e-1,2.056085728705938e-1,2.099716048931046e-1,2.1293251174555108e-1,2.1413085170302826e-1,2.1344283196383185e-1,2.116208922189451e-1,2.0865216726667635e-1,2.0452628711052173e-1,1.96612298200443e-1,1.8265627826724593e-1,1.624314486584012e-1,1.3769544828234115e-1,1.0301549799977866e-1],\"ring_thrust_n_hex\":[\"3f80818ab5dddfdd\",\"3f859dafe8ef853e\",\"3f8cbdd3e6f499ec\",\"3f93957a731facaa\",\"3f9a4cef5f6943e1\",\"3fa16fe77feb7c3c\",\"3fa64ceb698c77aa\",\"3faba26970c9f555\",\"3fb0b86f74fe2067\",\"3fb3d0dad59822d1\",\"3fb7019bd1151651\",\"3fba36ca72f31d65\",\"3fbd7b5c45a05353\",\"3fc061416b3ccb85\",\"3fc1fb831bca51ec\",\"3fc38333121d0007\",\"3fc4f5518443e792\",\"3fc64951a208f24c\",\"3fc787f622115f3b\",\"3fc8ac4fa525936a\",\"3fc99d98f2c60a18\",\"3fca5161b820d2ce\",\"3fcae0597c0d60d7\",\"3fcb415f5f19e43d\",\"3fcb68a3c6908768\",\"3fcb52183f6cd604\",\"3fcb1664b59d87e8\",\"3fcab51d3d532fd0\",\"3fca2dead927ef86\",\"3fc92a977f61931f\",\"3fc76147eac89013\",\"3fc4ca8dbfea34cc\",\"3fc1a001239721a8\",\"3fba5f3942e3e454\"],\"ring_torque_n_m\":[1.0102885068101854e-4,1.8398188395504566e-4,2.9886058441826814e-4,4.4007871469491913e-4,6.017964023026457e-4,7.652255501069414e-4,9.408761247820148e-4,1.1262164356503478e-3,1.3221319878592127e-3,1.5285836371913377e-3,1.7401248532368956e-3,1.9550199007280413e-3,2.1725255312875506e-3,2.3912209094146047e-3,2.5998626803498785e-3,2.793811385818579e-3,2.972881015939174e-3,3.1333118967033493e-3,3.278500658027829e-3,3.4066457162949455e-3,3.5000722556840346e-3,3.553555379070605e-3,3.5839478243035326e-3,3.630462666313995e-3,3.656141389509217e-3,3.6443902601762013e-3,3.615182462956817e-3,3.570732088484088e-3,3.5145899625108373e-3,3.3878241336530767e-3,3.1437810863173448e-3,2.791433516888889e-3,2.405767767963788e-3,1.990695918812764e-3],\"ring_torque_n_m_hex\":[\"3f1a7bee70422d18\",\"3f281d68596adbb2\",\"3f33960c6fa6dd75\",\"3f3cd74baff19b98\",\"3f43b83beef158cd\",\"3f49132d5b1b6008\",\"3f4ed4a417bf50a0\",\"3f5273b1b098f5bd\",\"3f55a96c6986c574\",\"3f590b582ec7ae2f\",\"3f5c829cd57a9f4a\",\"3f6003f9512c496c\",\"3f61cc1dc3694f01\",\"3f6396c0f34f704e\",\"3f654c4ea5f54c58\",\"3f66e30c1110a801\",\"3f685a9557a0a0f9\",\"3f69ab0803fbf97e\",\"3f6adb83a365881d\",\"3f6be840fe18f26d\",\"3f6cac2efbe5c8dc\",\"3f6d1c5884677d99\",\"3f6d5c1556454161\",\"3f6dbda1cd7a3469\",\"3f6df37bf651df1d\",\"3f6ddad71f66f469\",\"3f6d9d964e51b159\",\"3f6d405e315ec1a0\",\"3f6ccaa11e54a7c9\",\"3f6bc0c83b79f98a\",\"3f69c0fc9e72d26a\",\"3f66de0f753f74a1\",\"3f63b542bc535b55\",\"3f604ecabbc33a43\"]},\"invariants\":{\"thrust_balance_gap\":3.996403280793544e-15,\"thrust_balance_gap_hex\":\"3cf1ff8a0e7be721\",\"worst_ring_balance_gap\":6.472976244084764e-14,\"worst_ring_balance_gap_hex\":\"3d3238455c984311\"},\"field_sha256\":\"d7574145280d04c62125aa489b9b0de7ec35af84b645ec05968541614fcd3ed0\",\"seal_parts\":{\"inputs\":\"c5c24ae231ba3a3d1b86ccab372036c12a8519b72f94e7e8e6993c678b2dc4c3\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"842ff525f0cd0e2bcf5113fff242c0b81afa0bd8e848a2f3905ee819bee49bb0\",\"invariants\":\"10a4111b655804fb0c7d2226a0e91608892b580fc59b8cd9e4bf02ee2181eb90\",\"field_sha256\":\"7322c665ff15d6991ab55b6209c3258ae1e83f74c749c19c01e95443379ac318\",\"outcome\":\"4c80b494a07551b73d321708e135cd721afa800a7693e3f3b8349ae85959540e\"},\"solution_seal\":\"2512d928e4734d079835922891d86ecb867a36e28b40dc43280c727ab8b14b10\",\"receipt_sha256\":\"0c614edc26654e8684a7a848bfd2503c7ac480685f72ed52daa1b47723847844\"}", "outside_request": "{\"solver\": \"propeller_apc_10x7e\", \"parameters\": {\"rotational_speed_rev_per_min\": 6000.0, \"airspeed_m_s\": 0.0, \"air_density_kg_m3\": 0.9999999999999999}}", "outside_answer": "Physical Violation: air density 0.9999999999999999 kg/m³ is outside 1..=1.3 kg/m³ (AirDensityOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-3fc83dd06faa", "model": "propeller_apc_10x7e", "solver": "propeller_apc_10x7e", "tool": "solve", "specimen": "Thrust and shaft power of the APC Thin Electric 10x7 propeller at one rotational speed, airspeed and air density, by blade-element momentum theory on its measured blade geometry, with two blade-section constants fitted to this propeller's own measured thrust and power; on the measurements held back from the fit it missed both of its lines, by up to 10.2 percent of full scale at speeds never fitted and 11.8 at rest.", "base": "example_solve_at_rest", "input": "parameters.air_density_kg_m3", "input_unit": "kg/m³", "whole_number_input": false, "base_value": 1.225, "edge_kind": "declared_limit", "direction": "up", "inside_value": 1.3, "inside_value_hex": "3ff4cccccccccccd", "outside_value": 1.3000000000000003, "outside_value_hex": "3ff4ccccccccccce", "width": 2.220446049250313e-16, "adjacent_64_bit_numbers": true, "stop_name": "AirDensityOutOfRange", "stop_sentence": "Physical Violation: air density 1.3000000000000003 kg/m³ is outside 1..=1.3 kg/m³ (AirDensityOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 1326, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "a59a5da4a6dbc5af6e774dfbcf58ec67e51ca050aac7fc22a29651bb956dfc5a", "outside_proof": null, "inside_receipt": "701ad49eee2b6ee75fc9e34f09f00f814b6e0eca2dedbc371509cc5be22d28e4", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:45:56Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"propeller_apc_10x7e\", \"parameters\": {\"rotational_speed_rev_per_min\": 6000.0, \"airspeed_m_s\": 0.0, \"air_density_kg_m3\": 1.3}}", "inside_answer": "{\"inputs\":{\"solver\":\"propeller_apc_10x7e\",\"parameters\":{\"rotational_speed_rev_per_min\":6000.0,\"airspeed_m_s\":0.0,\"air_density_kg_m3\":1.3}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":1326,\"result\":{\"advance_ratio\":0.0e0,\"advance_ratio_hex\":\"0000000000000000\",\"thrust_coefficient\":1.0710276997979704e-1,\"thrust_coefficient_hex\":\"3fbb6b164e5fce1e\",\"power_coefficient\":4.739083783481767e-2,\"power_coefficient_hex\":\"3fa8439ca542db8f\",\"thrust_n\":5.795340022471975e0,\"thrust_n_hex\":\"40172e6d9d66de3f\",\"torque_n_m\":1.0366363986171413e-1,\"torque_n_m_hex\":\"3fba89b346fd89d1\",\"shaft_power_w\":6.513378588678783e1,\"shaft_power_w_hex\":\"4050488ff2ae1ae3\",\"efficiency\":0.0e0,\"efficiency_hex\":\"0000000000000000\",\"ring_inflow_angle_rad\":[2.75517126983847e-1,2.60145398830835e-1,2.5052213265299295e-1,2.4550378393599917e-1,2.4127424236603223e-1,2.3759386209989503e-1,2.3319681508843426e-1,2.2815050468864603e-1,2.2295541838731403e-1,2.1761833502606653e-1,2.1189583627441988e-1,2.0581085269562965e-1,1.9978078516898773e-1,1.9378578824489706e-1,1.876991838908085e-1,1.8150256057124897e-1,1.7529660778854372e-1,1.6905846338129277e-1,1.6301226317326412e-1,1.5713742428201116e-1,1.511698164984453e-1,1.4508211754667744e-1,1.3923259231123944e-1,1.3359658127269533e-1,1.2805907195136762e-1,1.2262508537030939e-1,1.1760118169301595e-1,1.1306245654896094e-1,1.0914342109314447e-1,1.0525060999196761e-1,1.0099825150903488e-1,9.687666136670003e-2,9.535923723903925e-2,1.0538125501026421e-1],\"ring_inflow_angle_rad_hex\":[\"3fd1a21296788b4c\",\"3fd0a638e30bbb66\",\"3fd0088dfbaacd44\",\"3fcf6cab018651a5\",\"3fcee2130a2a260c\",\"3fce6979c5b98562\",\"3fcdd964ab2b0818\",\"3fcd3409261a1087\",\"3fcc89cd9b3841e4\",\"3fcbdaeae7f934e8\",\"3fcb1f671b7a85a8\",\"3fca580290beab4e\",\"3fc9926ab155c2b2\",\"3fc8cdf903788042\",\"3fc80686e026013b\",\"3fc73b79d4e59a5e\",\"3fc6701e86c698ac\",\"3fc5a3b52daad656\",\"3fc4dd95f9968aec\",\"3fc41d1441226bc8\",\"3fc3598855006704\",\"3fc2920d030c77d8\",\"3fc1d25fa341cd31\",\"3fc119b159b63997\",\"3fc0643d5afe5db6\",\"3fbf645b8b55ae0a\",\"3fbe1b1c6d57ab4a\",\"3fbcf1a941488056\",\"3fbbf0d2c02b2a29\",\"3fbaf1b437ccaf6c\",\"3fb9db057b2f3a92\",\"3fb8cce8ac50ce00\",\"3fb8697685502c7e\",\"3fbafa4413e169d2\"],\"ring_thrust_n\":[1.0477455880804518e-2,1.3721071801157518e-2,1.82441254915354e-2,2.486237264592473e-2,3.338934160038768e-2,4.427395312765423e-2,5.662227976290872e-2,7.016552307475003e-2,8.490853870531695e-2,1.006273081695115e-1,1.1682878504672162e-1,1.3311810396485202e-1,1.4971265516107735e-1,1.663584047037757e-1,1.826344539073325e-1,1.9817380809563498e-1,2.1285748143905206e-1,2.263462689916749e-1,2.38987728715044e-1,2.50586073235988e-1,2.6015859041626976e-1,2.672911447317719e-1,2.7296308636103594e-1,2.768122652692164e-1,2.783701072139367e-1,2.7747568155298136e-1,2.751071598846286e-1,2.712478174466792e-1,2.658841732436782e-1,2.5559598766057584e-1,2.3745316174741968e-1,2.1116088325592156e-1,1.7900408276704347e-1,1.3392014739971225e-1],\"ring_thrust_n_hex\":[\"3f85753452d3a305\",\"3f8c19cb15376069\",\"3f92ae96895230d9\",\"3f99758595a92d42\",\"3fa11868646ad285\",\"3fa6ab13597eee4d\",\"3facfd986f9d01f6\",\"3fb1f65e22e9ac43\",\"3fb5bc90e4e3f6ec\",\"3fb9c2b615ac2d41\",\"3fbde87dc301d034\",\"3fc10a0397846cb4\",\"3fc329c8c6db695c\",\"3fc54b3b71cf0893\",\"3fc76090d753d0e5\",\"3fc95dc26458e66f\",\"3fcb3ee9f8bead09\",\"3fccf8ea1f7207c9\",\"3fce97265f7cfbcb\",\"3fd0099a2b586c9e\",\"3fd0a67037672028\",\"3fd11b4c51488905\",\"3fd1783a2a3be558\",\"3fd1b74aca9da127\",\"3fd1d0d0daaabe69\",\"3fd1c2295c6d24b5\",\"3fd19b5b0fa66523\",\"3fd15c1fce42df13\",\"3fd1043f0d26c216\",\"3fd05baf45ff6c6d\",\"3fce64dd7e04bb4b\",\"3fcb0751dfe3ab09\",\"3fc6e99b14aadef3\",\"3fc1244b9eadbad0\"],\"ring_torque_n_m\":[1.3133750588532414e-4,2.391764491415594e-4,3.885187597437486e-4,5.72102329103395e-4,7.823353229934395e-4,9.94793215139024e-4,1.2231389622166197e-3,1.4640813663454526e-3,1.718771584216977e-3,1.9871587283487395e-3,2.2621623092079646e-3,2.541525870946454e-3,2.8242831906738165e-3,3.108587182238987e-3,3.3798214844548433e-3,3.6319548015641538e-3,3.864745320720927e-3,4.073305465714355e-3,4.262050855436178e-3,4.42863943118343e-3,4.550093932389246e-3,4.619621992791788e-3,4.659132171594593e-3,4.719601466208195e-3,4.752983806361983e-3,4.737707338229063e-3,4.6997372018438635e-3,4.641951715029315e-3,4.56896695126409e-3,4.404171373749001e-3,4.086915412212549e-3,3.6288635719555567e-3,3.1274980983529255e-3,2.5879046944565936e-3],\"ring_torque_n_m_hex\":[\"3f2136f495c49d51\",\"3f2f596e0dd7b736\",\"3f3976435df2864c\",\"3f42bf2465903ebe\",\"3f49a2b45039c03f\",\"3f504c7714d1cb39\",\"3f540a3775d5f46a\",\"3f57fccd6593a5de\",\"3f5c290cef959a4c\",\"3f60475fb801cad3\",\"3f628819245c8124\",\"3f64d1f74fecc5da\",\"3f6722f37e08e6b6\",\"3f69772e091a7867\",\"3f6bafffd7bee342\",\"3f6dc0c2e2fc0d9d\",\"3f6fa8f55850d145\",\"3f70af2b9c309560\",\"3f717515909b987a\",\"3f7223c3d85d03fb\",\"3f72a31e8a2228f7\",\"3f72ec06561011a5\",\"3f73157444e0374d\",\"3f7354dc5f290879\",\"3f7377dd601b9dd4\",\"3f7367d8a1361edf\",\"3f734008194eb348\",\"3f7303706ce3fddc\",\"3f72b6e8ba1d6d11\",\"3f720a1bc0427bce\",\"3f70bd7100976f2c\",\"3f6dba474b9f4ad3\",\"3f699ed6c19f9057\",\"3f65333ac0e43225\"]},\"invariants\":{\"thrust_balance_gap\":3.996403280793544e-15,\"thrust_balance_gap_hex\":\"3cf1ff8a0e7be721\",\"worst_ring_balance_gap\":6.472976244084764e-14,\"worst_ring_balance_gap_hex\":\"3d3238455c984311\"},\"field_sha256\":\"01ef7e1d1cf7e37f7feb89968f988a49abda59929a6cce3e09887d280b259e20\",\"seal_parts\":{\"inputs\":\"503868a8be1dce8d59ced30ad043ceeca0da39f40cc45fdf9fe154bce5330132\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"5d84da88e1c7b958075e923c26391a4b1a4fb8e01391802329286b0ddf31b8de\",\"invariants\":\"10a4111b655804fb0c7d2226a0e91608892b580fc59b8cd9e4bf02ee2181eb90\",\"field_sha256\":\"a53a25515276cc80ac18acd718198ededb05a45e11c770063b315d7e28d69d92\",\"outcome\":\"4c80b494a07551b73d321708e135cd721afa800a7693e3f3b8349ae85959540e\"},\"solution_seal\":\"a59a5da4a6dbc5af6e774dfbcf58ec67e51ca050aac7fc22a29651bb956dfc5a\",\"receipt_sha256\":\"701ad49eee2b6ee75fc9e34f09f00f814b6e0eca2dedbc371509cc5be22d28e4\"}", "outside_request": "{\"solver\": \"propeller_apc_10x7e\", \"parameters\": {\"rotational_speed_rev_per_min\": 6000.0, \"airspeed_m_s\": 0.0, \"air_density_kg_m3\": 1.3000000000000003}}", "outside_answer": "Physical Violation: air density 1.3000000000000003 kg/m³ is outside 1..=1.3 kg/m³ (AirDensityOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-0d09786833f4", "model": "seawater_column", "solver": "seawater_column", "tool": "solve", "specimen": "Depth, density and sound speed at every level of one measured seawater cast (pressure, temperature, salinity), from the TEOS-10 Gibbs function and the weight of the water above, and the depth an echo sounder reads over it; no constant is fitted.", "base": "example_solve", "input": "parameters.latitude_deg", "input_unit": "deg", "whole_number_input": false, "base_value": -31.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": -34.0023, "inside_value_hex": "c041004b5dcc63f1", "outside_value": -34.002300000000005, "outside_value_hex": "c041004b5dcc63f2", "width": 7.105427357601002e-15, "adjacent_64_bit_numbers": true, "stop_name": "LatitudeOutsideCompared", "stop_sentence": "Physical Violation: latitude -34.002300000000005 deg is outside -34.0023..=26.4108, the latitudes compared with measurement (LatitudeOutsideCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 4, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "0fd790020465cc6ae038314ef0571b90dcd414c97678a4ab77bf69724e6ffb84", "outside_proof": null, "inside_receipt": "6a52c9f53a8e46cd7a6004029a51983aa98ba507ab5c8c4259166503b8f32e21", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:45:58Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -34.0023, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0], \"temperature_c\": [21.5, 20.9, 18.2, 16.1, 14.3, 11.8, 10.2, 9.0, 7.6, 6.1, 5.0, 4.2, 3.7], \"practical_salinity\": [35.6, 35.6, 35.7, 35.5, 35.3, 35.0, 34.8, 34.7, 34.55, 34.45, 34.42, 34.45, 34.5], \"height_above_bottom_m\": 12.0}}", "inside_answer": "{\"inputs\":{\"solver\":\"seawater_column\",\"parameters\":{\"latitude_deg\":-34.0023,\"sea_pressure_dbar\":[0.0,50.0,100.0,150.0,200.0,300.0,400.0,500.0,600.0,700.0,800.0,900.0,1000.0],\"temperature_c\":[21.5,20.9,18.2,16.1,14.3,11.8,10.2,9.0,7.6,6.1,5.0,4.2,3.7],\"practical_salinity\":[35.6,35.6,35.7,35.5,35.3,35.0,34.8,34.7,34.55,34.45,34.42,34.45,34.5],\"height_above_bottom_m\":12.0}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":4,\"result\":{\"seabed_depth_m\":1.0039142760813533e3,\"seabed_depth_m_hex\":\"408f5f506ffa676b\",\"echo_one_way_time_s\":6.710331013317866e-1,\"echo_one_way_time_s_hex\":\"3fe5791a69181c7d\",\"echo_sounder_depth_m\":1.0065496519976799e3,\"echo_sounder_depth_m_hex\":\"408f7465aff251bb\",\"mean_sound_speed_m_per_s\":1.4960726588433622e3,\"mean_sound_speed_m_per_s_hex\":\"4097604a67147006\",\"depth_m\":[0.0e0,4.979313539273418e1,9.955212465373768e1,1.492723549190943e2,1.9896671445021246e2,2.9829581700275e2,3.9755900117538323e2,4.967633650081823e2,5.959103665321439e2,6.949991551084267e2,7.940287770939199e2,8.93000065774791e2,9.919142760813533e2],\"depth_m_hex\":[\"0000000000000000\",\"4048e58575e68bf5\",\"4058e35602a4c798\",\"4062a8b721a9cd46\",\"4068deef53248776\",\"4072a4bbaa9c0698\",\"4078d8f1ab376b25\",\"407f0c36be3a10dc\",\"40829f486e3f9773\",\"4085b7fe45089298\",\"4088d03aef7c2a14\",\"408be800227c249c\",\"408eff506ffa676b\"],\"density_kg_per_m3\":[1.0248169189978144e3,1.0251993890713863e3,1.0262010433462706e3,1.0267751350136248e3,1.0272466902913372e3,1.0279734828746923e3,1.0285652794398477e3,1.0291466972246333e3,1.0297096331483363e3,1.0303101206335762e3,1.0308942720633788e3,1.0314788508047934e3,1.0320382151996305e3],\"density_kg_per_m3_hex\":[\"409003448669ec60\",\"409004cc2ca61323\",\"409008cdde4e953e\",\"40900b19bcfe3603\",\"40900cfc9c613623\",\"40900fe4d8b1d814\",\"40901242d89d0cfd\",\"4090149637cc18db\",\"409016d6aa12710c\",\"4090193d90436c19\",\"40901b93bc0e47c1\",\"40901dea57dd8901\",\"4090202721e2a27e\"],\"sound_speed_m_per_s\":[1.5262056319866172e3,1.5254260033671926e3,1.51881701083791e3,1.5131394932648652e3,1.5080618156580326e3,1.501013972983033e3,1.49678545843289e3,1.4939270602669783e3,1.4901060846132593e3,1.4857597052485494e3,1.4829221131215206e3,1.4812958589244379e3,1.4809029822345929e3],\"sound_speed_m_per_s_hex\":[\"4097d8d291310621\",\"4097d5b43a3a0850\",\"4097bb449e7d3534\",\"4097a48ed7528a6f\",\"4097903f4c9a9686\",\"4097740e4eef049e\",\"409763244f372685\",\"409757b54f49605f\",\"4097486ca171e23b\",\"40973709f02c347a\",\"40972bb03e6c1093\",\"4097252ef5a452c3\",\"4097239ca75ff9c8\"]},\"invariants\":{\"hydrostatic_residual\":6.984919309616089e-16,\"hydrostatic_residual_hex\":\"3cc92a737110e454\",\"column_weight_residual_dbar\":0.0e0,\"column_weight_residual_dbar_hex\":\"0000000000000000\"},\"field_sha256\":\"2d7ff8ba48bccfb39e2cddc43f971bdc428c117de1b772c2500c0f95f908c6bf\",\"seal_parts\":{\"inputs\":\"b49601e6fc068b5a78422dd006679e05fc2cbb9c5023532c150f5e8d7e3795b3\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"ce71eabdd716eeef1827cd59876a3cfb223a5bde6a78a0e83d8ae8b1fed8e4b2\",\"invariants\":\"35f1d7562bab61c35c410a74ebee03ad0bc2e71120fb14511a7567c6961093fc\",\"field_sha256\":\"81933cf7e106329187e28f6b6e5004396603985dd14926ae15b613bff63d690e\",\"outcome\":\"21838fe24fedb22857aa498abeabbb8318d8fda1a1cb8174b9c306c9a2dfba1e\"},\"solution_seal\":\"0fd790020465cc6ae038314ef0571b90dcd414c97678a4ab77bf69724e6ffb84\",\"receipt_sha256\":\"6a52c9f53a8e46cd7a6004029a51983aa98ba507ab5c8c4259166503b8f32e21\"}", "outside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -34.002300000000005, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0], \"temperature_c\": [21.5, 20.9, 18.2, 16.1, 14.3, 11.8, 10.2, 9.0, 7.6, 6.1, 5.0, 4.2, 3.7], \"practical_salinity\": [35.6, 35.6, 35.7, 35.5, 35.3, 35.0, 34.8, 34.7, 34.55, 34.45, 34.42, 34.45, 34.5], \"height_above_bottom_m\": 12.0}}", "outside_answer": "Physical Violation: latitude -34.002300000000005 deg is outside -34.0023..=26.4108, the latitudes compared with measurement (LatitudeOutsideCompared).", "outside_answer_is_error": true}
{"id": "edge-76f696942090", "model": "seawater_column", "solver": "seawater_column", "tool": "solve", "specimen": "Depth, density and sound speed at every level of one measured seawater cast (pressure, temperature, salinity), from the TEOS-10 Gibbs function and the weight of the water above, and the depth an echo sounder reads over it; no constant is fitted.", "base": "example_solve", "input": "parameters.latitude_deg", "input_unit": "deg", "whole_number_input": false, "base_value": -31.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 26.4108, "inside_value_hex": "403a692a30553261", "outside_value": 26.410800000000002, "outside_value_hex": "403a692a30553262", "width": 3.552713678800501e-15, "adjacent_64_bit_numbers": true, "stop_name": "LatitudeOutsideCompared", "stop_sentence": "Physical Violation: latitude 26.410800000000002 deg is outside -34.0023..=26.4108, the latitudes compared with measurement (LatitudeOutsideCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 4, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "0b4aa678575a48cd804dd7c58c158774a86e9986d68f423074e5e8edcbc3a3b3", "outside_proof": null, "inside_receipt": "5e0140bc88f57a515eed3ac130df0af6bb8b1b3b71f2650bcd41730d3edaed39", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:45:59Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": 26.4108, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0], \"temperature_c\": [21.5, 20.9, 18.2, 16.1, 14.3, 11.8, 10.2, 9.0, 7.6, 6.1, 5.0, 4.2, 3.7], \"practical_salinity\": [35.6, 35.6, 35.7, 35.5, 35.3, 35.0, 34.8, 34.7, 34.55, 34.45, 34.42, 34.45, 34.5], \"height_above_bottom_m\": 12.0}}", "inside_answer": "{\"inputs\":{\"solver\":\"seawater_column\",\"parameters\":{\"latitude_deg\":26.4108,\"sea_pressure_dbar\":[0.0,50.0,100.0,150.0,200.0,300.0,400.0,500.0,600.0,700.0,800.0,900.0,1000.0],\"temperature_c\":[21.5,20.9,18.2,16.1,14.3,11.8,10.2,9.0,7.6,6.1,5.0,4.2,3.7],\"practical_salinity\":[35.6,35.6,35.7,35.5,35.3,35.0,34.8,34.7,34.55,34.45,34.42,34.45,34.5],\"height_above_bottom_m\":12.0}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":4,\"result\":{\"seabed_depth_m\":1.004516516825496e3,\"seabed_depth_m_hex\":\"408f6421d392cab6\",\"echo_one_way_time_s\":6.714355990139347e-1,\"echo_one_way_time_s_hex\":\"3fe57c6682645214\",\"echo_sounder_depth_m\":1.007153398520902e3,\"echo_sounder_depth_m_hex\":\"408f793a2900f43b\",\"mean_sound_speed_m_per_s\":1.496072770494626e3,\"mean_sound_speed_m_per_s_hex\":\"4097604a84593a21\",\"depth_m\":[0.0e0,4.982337051449293e1,9.961257382313316e1,1.4936299426179608e2,1.9908752791832853e2,2.9847694150675545e2,3.978003953375354e2,4.9706499176309865e2,5.962721897021594e2,6.954211380018668e2,7.945108824426102e2,8.935422568189447e2,9.92516516825496e2],\"depth_m_hex\":[\"0000000000000000\",\"4048e964347c1e71\",\"4058e73468d62f87\",\"4062ab9da6246198\",\"4068e2cd075956a8\",\"4072a7a18d6ad9ea\",\"4078dcce6b57695e\",\"407f110a34cd904a\",\"4082a22d71cb68a9\",\"4085bb5e7d99c8f7\",\"4088d4164988b8e4\",\"408bec568abe3b34\",\"408f0421d392cab6\"],\"density_kg_per_m3\":[1.0248169189978144e3,1.0251993890713863e3,1.0262010433462706e3,1.0267751350136248e3,1.0272466902913372e3,1.0279734828746923e3,1.0285652794398477e3,1.0291466972246333e3,1.0297096331483363e3,1.0303101206335762e3,1.0308942720633788e3,1.0314788508047934e3,1.0320382151996305e3],\"density_kg_per_m3_hex\":[\"409003448669ec60\",\"409004cc2ca61323\",\"409008cdde4e953e\",\"40900b19bcfe3603\",\"40900cfc9c613623\",\"40900fe4d8b1d814\",\"40901242d89d0cfd\",\"4090149637cc18db\",\"409016d6aa12710c\",\"4090193d90436c19\",\"40901b93bc0e47c1\",\"40901dea57dd8901\",\"4090202721e2a27e\"],\"sound_speed_m_per_s\":[1.5262056319866172e3,1.5254260033671926e3,1.51881701083791e3,1.5131394932648652e3,1.5080618156580326e3,1.501013972983033e3,1.49678545843289e3,1.4939270602669783e3,1.4901060846132593e3,1.4857597052485494e3,1.4829221131215206e3,1.4812958589244379e3,1.4809029822345929e3],\"sound_speed_m_per_s_hex\":[\"4097d8d291310621\",\"4097d5b43a3a0850\",\"4097bb449e7d3534\",\"4097a48ed7528a6f\",\"4097903f4c9a9686\",\"4097740e4eef049e\",\"409763244f372685\",\"409757b54f49605f\",\"4097486ca171e23b\",\"40973709f02c347a\",\"40972bb03e6c1093\",\"4097252ef5a452c3\",\"4097239ca75ff9c8\"]},\"invariants\":{\"hydrostatic_residual\":3.4924596548080445e-16,\"hydrostatic_residual_hex\":\"3cb92a737110e454\",\"column_weight_residual_dbar\":0.0e0,\"column_weight_residual_dbar_hex\":\"0000000000000000\"},\"field_sha256\":\"5e36bce8afa449093c117c4099398da672c5e50ce5b675fdb4346cbde631f97d\",\"seal_parts\":{\"inputs\":\"a6a09d8b39cef35013dcc88697d3fa62e5e06eeb6dcb457023e83a2e853a07d7\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"704462c570a0e5a99b9df5028e39765aa4518eb7005a303030b8714da7d456d4\",\"invariants\":\"0a4fa1795fb5dd9b326ba86b88f6b03483f8abd98d73ac058006137130f3bbb1\",\"field_sha256\":\"5d48cf94d9a6a65667791f11a25f0269939d1d27cab3f0e906ab87dbe16e74c6\",\"outcome\":\"21838fe24fedb22857aa498abeabbb8318d8fda1a1cb8174b9c306c9a2dfba1e\"},\"solution_seal\":\"0b4aa678575a48cd804dd7c58c158774a86e9986d68f423074e5e8edcbc3a3b3\",\"receipt_sha256\":\"5e0140bc88f57a515eed3ac130df0af6bb8b1b3b71f2650bcd41730d3edaed39\"}", "outside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": 26.410800000000002, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0], \"temperature_c\": [21.5, 20.9, 18.2, 16.1, 14.3, 11.8, 10.2, 9.0, 7.6, 6.1, 5.0, 4.2, 3.7], \"practical_salinity\": [35.6, 35.6, 35.7, 35.5, 35.3, 35.0, 34.8, 34.7, 34.55, 34.45, 34.42, 34.45, 34.5], \"height_above_bottom_m\": 12.0}}", "outside_answer": "Physical Violation: latitude 26.410800000000002 deg is outside -34.0023..=26.4108, the latitudes compared with measurement (LatitudeOutsideCompared).", "outside_answer_is_error": true}
{"id": "edge-a5238bae2695", "model": "seawater_column", "solver": "seawater_column", "tool": "solve", "specimen": "Depth, density and sound speed at every level of one measured seawater cast (pressure, temperature, salinity), from the TEOS-10 Gibbs function and the weight of the water above, and the depth an echo sounder reads over it; no constant is fitted.", "base": "example_solve", "input": "parameters.sea_pressure_dbar[0]", "input_unit": "dbar", "whole_number_input": false, "base_value": 0.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 20.0, "inside_value_hex": "4034000000000000", "outside_value": 20.000000000000004, "outside_value_hex": "4034000000000001", "width": 3.552713678800501e-15, "adjacent_64_bit_numbers": true, "stop_name": "FirstLevelTooDeep", "stop_sentence": "Physical Violation: the first level is at 20.000000000000004 dbar, deeper than 20 (FirstLevelTooDeep).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 4, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "d8dcc091318bd0c0fd8261436230bba4dc44e53c702462570f99696ab5696679", "outside_proof": null, "inside_receipt": "67ad55a0b36634e293409fd0243951cfe673fc68886ee28c4dfac16589bee61c", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:46:01Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -31.0, \"sea_pressure_dbar\": [20.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0], \"temperature_c\": [21.5, 20.9, 18.2, 16.1, 14.3, 11.8, 10.2, 9.0, 7.6, 6.1, 5.0, 4.2, 3.7], \"practical_salinity\": [35.6, 35.6, 35.7, 35.5, 35.3, 35.0, 34.8, 34.7, 34.55, 34.45, 34.42, 34.45, 34.5], \"height_above_bottom_m\": 12.0}}", "inside_answer": "{\"inputs\":{\"solver\":\"seawater_column\",\"parameters\":{\"latitude_deg\":-31.0,\"sea_pressure_dbar\":[20.0,50.0,100.0,150.0,200.0,300.0,400.0,500.0,600.0,700.0,800.0,900.0,1000.0],\"temperature_c\":[21.5,20.9,18.2,16.1,14.3,11.8,10.2,9.0,7.6,6.1,5.0,4.2,3.7],\"practical_salinity\":[35.6,35.6,35.7,35.5,35.3,35.0,34.8,34.7,34.55,34.45,34.42,34.45,34.5],\"height_above_bottom_m\":12.0}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":4,\"result\":{\"seabed_depth_m\":1.004163865703111e3,\"seabed_depth_m_hex\":\"408f614f98d25e62\",\"echo_one_way_time_s\":6.711916541341364e-1,\"echo_one_way_time_s_hex\":\"3fe57a66eb7b5617\",\"echo_sounder_depth_m\":1.0067874812012046e3,\"echo_sounder_depth_m_hex\":\"408f764cc2f1ab1c\",\"mean_sound_speed_m_per_s\":1.4960911082819136e3,\"mean_sound_speed_m_per_s_hex\":\"4097605d4b7d4cdb\",\"depth_m\":[1.9924345283952317e1,4.980638717963149e1,9.957786009825028e1,1.4931056415702068e2,1.9901739085103154e2,2.9837141235326044e2,3.976594983795786e2,4.9688874875181074e2,5.960606218677349e2,6.95174266876134e2,7.942287298957019e2,8.932248444226587e2,9.92163865703111e2],\"depth_m_hex\":[\"4033eca1e47cc97b\",\"4048e737b1f23729\",\"4058e4fba8ebe97e\",\"4062a9f0243e36d6\",\"4068e08e77420dc3\",\"4072a5f14e146958\",\"4078da8d4e2c40e2\",\"407f0e38509c7635\",\"4082a07c27515ac0\",\"4085b964e6082e2c\",\"4088d1d47056ed42\",\"408be9cc7b3b900f\",\"408f014f98d25e62\"],\"density_kg_per_m3\":[1.024903844031395e3,1.0251993890713863e3,1.0262010433462706e3,1.0267751350136248e3,1.0272466902913372e3,1.0279734828746923e3,1.0285652794398477e3,1.0291466972246333e3,1.0297096331483363e3,1.0303101206335762e3,1.0308942720633788e3,1.0314788508047934e3,1.0320382151996305e3],\"density_kg_per_m3_hex\":[\"4090039d894a2e1b\",\"409004cc2ca61323\",\"409008cdde4e953e\",\"40900b19bcfe3603\",\"40900cfc9c613623\",\"40900fe4d8b1d814\",\"40901242d89d0cfd\",\"4090149637cc18db\",\"409016d6aa12710c\",\"4090193d90436c19\",\"40901b93bc0e47c1\",\"40901dea57dd8901\",\"4090202721e2a27e\"],\"sound_speed_m_per_s\":[1.5265337583987869e3,1.5254260033671926e3,1.51881701083791e3,1.5131394932648652e3,1.5080618156580326e3,1.501013972983033e3,1.49678545843289e3,1.4939270602669783e3,1.4901060846132593e3,1.4857597052485494e3,1.4829221131215206e3,1.4812958589244379e3,1.4809029822345929e3],\"sound_speed_m_per_s_hex\":[\"4097da22918fcb05\",\"4097d5b43a3a0850\",\"4097bb449e7d3534\",\"4097a48ed7528a6f\",\"4097903f4c9a9686\",\"4097740e4eef049e\",\"409763244f372685\",\"409757b54f49605f\",\"4097486ca171e23b\",\"40973709f02c347a\",\"40972bb03e6c1093\",\"4097252ef5a452c3\",\"4097239ca75ff9c8\"]},\"invariants\":{\"hydrostatic_residual\":5.820766091346741e-16,\"hydrostatic_residual_hex\":\"3cc4f8b588e368f1\",\"column_weight_residual_dbar\":0.0e0,\"column_weight_residual_dbar_hex\":\"0000000000000000\"},\"field_sha256\":\"2d456316fc109668334491bbba434c641af70d1e20e13d6390d637ae5c338b98\",\"seal_parts\":{\"inputs\":\"7953968e1fa1b8efa418ed3fd44f937a791cfab49668289e29881ca76e6cf692\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"fa7ef72bee769f50c246722b5676021672906851fbfc6a8a36a6ac082cd2f4a9\",\"invariants\":\"69269282056c37b89fccaf444ac640c6fb72a948a2a31fddede24958f5d60fd5\",\"field_sha256\":\"749536537ec9c0965948c603aaea934fbf1b74b9f1ee0796520d8ead2dc28ce3\",\"outcome\":\"21838fe24fedb22857aa498abeabbb8318d8fda1a1cb8174b9c306c9a2dfba1e\"},\"solution_seal\":\"d8dcc091318bd0c0fd8261436230bba4dc44e53c702462570f99696ab5696679\",\"receipt_sha256\":\"67ad55a0b36634e293409fd0243951cfe673fc68886ee28c4dfac16589bee61c\"}", "outside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -31.0, \"sea_pressure_dbar\": [20.000000000000004, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0], \"temperature_c\": [21.5, 20.9, 18.2, 16.1, 14.3, 11.8, 10.2, 9.0, 7.6, 6.1, 5.0, 4.2, 3.7], \"practical_salinity\": [35.6, 35.6, 35.7, 35.5, 35.3, 35.0, 34.8, 34.7, 34.55, 34.45, 34.42, 34.45, 34.5], \"height_above_bottom_m\": 12.0}}", "outside_answer": "Physical Violation: the first level is at 20.000000000000004 dbar, deeper than 20 (FirstLevelTooDeep).", "outside_answer_is_error": true}
{"id": "edge-d21691cde4c1", "model": "seawater_column", "solver": "seawater_column", "tool": "solve", "specimen": "Depth, density and sound speed at every level of one measured seawater cast (pressure, temperature, salinity), from the TEOS-10 Gibbs function and the weight of the water above, and the depth an echo sounder reads over it; no constant is fitted.", "base": "example_solve", "input": "parameters.sea_pressure_dbar[6]", "input_unit": "dbar", "whole_number_input": false, "base_value": 400.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 400.0, "inside_value_hex": "4079000000000000", "outside_value": 399.99999999999994, "outside_value_hex": "4078ffffffffffff", "width": 5.684341886080802e-14, "adjacent_64_bit_numbers": true, "stop_name": "LevelGapTooWide", "stop_sentence": "Physical Violation: level 7 is 100.00000000000006 dbar below the level before it, more than 100 (LevelGapTooWide).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 4, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "f4f735cd59e01a20dcffbaa461de50a9595fe7ecd76ef0c274b308c715077a6a", "outside_proof": null, "inside_receipt": "ae9baf0d0489c3964228a34beb6d0519931f5e9d854a10e0419deeb4e0df7e4c", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:46:03Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -31.0, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0], \"temperature_c\": [21.5, 20.9, 18.2, 16.1, 14.3, 11.8, 10.2, 9.0, 7.6, 6.1, 5.0, 4.2, 3.7], \"practical_salinity\": [35.6, 35.6, 35.7, 35.5, 35.3, 35.0, 34.8, 34.7, 34.55, 34.45, 34.42, 34.45, 34.5], \"height_above_bottom_m\": 12.0}}", "inside_answer": "{\"inputs\":{\"solver\":\"seawater_column\",\"parameters\":{\"latitude_deg\":-31.0,\"sea_pressure_dbar\":[0.0,50.0,100.0,150.0,200.0,300.0,400.0,500.0,600.0,700.0,800.0,900.0,1000.0],\"temperature_c\":[21.5,20.9,18.2,16.1,14.3,11.8,10.2,9.0,7.6,6.1,5.0,4.2,3.7],\"practical_salinity\":[35.6,35.6,35.7,35.5,35.3,35.0,34.8,34.7,34.55,34.45,34.42,34.45,34.5],\"height_above_bottom_m\":12.0}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":4,\"result\":{\"seabed_depth_m\":1.0041631064513033e3,\"seabed_depth_m_hex\":\"408f614e0ac150ea\",\"echo_one_way_time_s\":6.711994030112177e-1,\"echo_one_way_time_s_hex\":\"3fe57a772ba0e497\",\"echo_sounder_depth_m\":1.0067991045168266e3,\"echo_sounder_depth_m_hex\":\"408f766490e8aed9\",\"mean_sound_speed_m_per_s\":1.4960727049909501e3,\"mean_sound_speed_m_per_s_hex\":\"4097604a732d598c\",\"depth_m\":[0.0e0,4.9805627766125696e1,9.957710069328644e1,1.4930980476059196e2,1.990166314631333e2,2.9837065298241237e2,3.9765873902576857e2,4.968879894150279e2,5.960598625479686e2,6.951735075733735e2,7.942279706099364e2,8.932240851538774e2,9.921631064513033e2],\"depth_m_hex\":[\"0000000000000000\",\"4048e71ecf862134\",\"4058e4ef37bf0a82\",\"4062a9e9ebac5c67\",\"4068e0883eb4c7c0\",\"4072a5ee31d25a04\",\"4078da8a31eec466\",\"407f0e3534638bd3\",\"4082a07a99372e3e\",\"4085b96357f049fb\",\"4088d1d2e2415102\",\"408be9caed283b61\",\"408f014e0ac150ea\"],\"density_kg_per_m3\":[1.0248169189978144e3,1.0251993890713863e3,1.0262010433462706e3,1.0267751350136248e3,1.0272466902913372e3,1.0279734828746923e3,1.0285652794398477e3,1.0291466972246333e3,1.0297096331483363e3,1.0303101206335762e3,1.0308942720633788e3,1.0314788508047934e3,1.0320382151996305e3],\"density_kg_per_m3_hex\":[\"409003448669ec60\",\"409004cc2ca61323\",\"409008cdde4e953e\",\"40900b19bcfe3603\",\"40900cfc9c613623\",\"40900fe4d8b1d814\",\"40901242d89d0cfd\",\"4090149637cc18db\",\"409016d6aa12710c\",\"4090193d90436c19\",\"40901b93bc0e47c1\",\"40901dea57dd8901\",\"4090202721e2a27e\"],\"sound_speed_m_per_s\":[1.5262056319866172e3,1.5254260033671926e3,1.51881701083791e3,1.5131394932648652e3,1.5080618156580326e3,1.501013972983033e3,1.49678545843289e3,1.4939270602669783e3,1.4901060846132593e3,1.4857597052485494e3,1.4829221131215206e3,1.4812958589244379e3,1.4809029822345929e3],\"sound_speed_m_per_s_hex\":[\"4097d8d291310621\",\"4097d5b43a3a0850\",\"4097bb449e7d3534\",\"4097a48ed7528a6f\",\"4097903f4c9a9686\",\"4097740e4eef049e\",\"409763244f372685\",\"409757b54f49605f\",\"4097486ca171e23b\",\"40973709f02c347a\",\"40972bb03e6c1093\",\"4097252ef5a452c3\",\"4097239ca75ff9c8\"]},\"invariants\":{\"hydrostatic_residual\":5.820766091346741e-16,\"hydrostatic_residual_hex\":\"3cc4f8b588e368f1\",\"column_weight_residual_dbar\":0.0e0,\"column_weight_residual_dbar_hex\":\"0000000000000000\"},\"field_sha256\":\"8fec3250b9fcb403c9d955107d39e237b134d054b7bd0e85e8ea7b195d6e40ce\",\"seal_parts\":{\"inputs\":\"8d90a5996d9777ddefa2f01d6d750e8cfe6ec2b6b73901d77bdc38f2d9d93b65\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"dcaf42a8bcdadb677c5c2736bd4a6dc923045544cd6d72d9ea95cca392a29102\",\"invariants\":\"69269282056c37b89fccaf444ac640c6fb72a948a2a31fddede24958f5d60fd5\",\"field_sha256\":\"3ae6d522a32ea224ca28c47a94d3da16c6ab42c0d8ed0ac641d9b2609bfdd21b\",\"outcome\":\"21838fe24fedb22857aa498abeabbb8318d8fda1a1cb8174b9c306c9a2dfba1e\"},\"solution_seal\":\"f4f735cd59e01a20dcffbaa461de50a9595fe7ecd76ef0c274b308c715077a6a\",\"receipt_sha256\":\"ae9baf0d0489c3964228a34beb6d0519931f5e9d854a10e0419deeb4e0df7e4c\"}", "outside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -31.0, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 399.99999999999994, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0], \"temperature_c\": [21.5, 20.9, 18.2, 16.1, 14.3, 11.8, 10.2, 9.0, 7.6, 6.1, 5.0, 4.2, 3.7], \"practical_salinity\": [35.6, 35.6, 35.7, 35.5, 35.3, 35.0, 34.8, 34.7, 34.55, 34.45, 34.42, 34.45, 34.5], \"height_above_bottom_m\": 12.0}}", "outside_answer": "Physical Violation: level 7 is 100.00000000000006 dbar below the level before it, more than 100 (LevelGapTooWide).", "outside_answer_is_error": true}
{"id": "edge-ef38a5d27436", "model": "seawater_column", "solver": "seawater_column", "tool": "solve", "specimen": "Depth, density and sound speed at every level of one measured seawater cast (pressure, temperature, salinity), from the TEOS-10 Gibbs function and the weight of the water above, and the depth an echo sounder reads over it; no constant is fitted.", "base": "example_solve", "input": "parameters.sea_pressure_dbar[6]", "input_unit": "dbar", "whole_number_input": false, "base_value": 400.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 400.0, "inside_value_hex": "4079000000000000", "outside_value": 400.00000000000006, "outside_value_hex": "4079000000000001", "width": 5.684341886080802e-14, "adjacent_64_bit_numbers": true, "stop_name": "LevelGapTooWide", "stop_sentence": "Physical Violation: level 6 is 100.00000000000006 dbar below the level before it, more than 100 (LevelGapTooWide).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 4, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "f4f735cd59e01a20dcffbaa461de50a9595fe7ecd76ef0c274b308c715077a6a", "outside_proof": null, "inside_receipt": "ae9baf0d0489c3964228a34beb6d0519931f5e9d854a10e0419deeb4e0df7e4c", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:46:03Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -31.0, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0], \"temperature_c\": [21.5, 20.9, 18.2, 16.1, 14.3, 11.8, 10.2, 9.0, 7.6, 6.1, 5.0, 4.2, 3.7], \"practical_salinity\": [35.6, 35.6, 35.7, 35.5, 35.3, 35.0, 34.8, 34.7, 34.55, 34.45, 34.42, 34.45, 34.5], \"height_above_bottom_m\": 12.0}}", "inside_answer": "{\"inputs\":{\"solver\":\"seawater_column\",\"parameters\":{\"latitude_deg\":-31.0,\"sea_pressure_dbar\":[0.0,50.0,100.0,150.0,200.0,300.0,400.0,500.0,600.0,700.0,800.0,900.0,1000.0],\"temperature_c\":[21.5,20.9,18.2,16.1,14.3,11.8,10.2,9.0,7.6,6.1,5.0,4.2,3.7],\"practical_salinity\":[35.6,35.6,35.7,35.5,35.3,35.0,34.8,34.7,34.55,34.45,34.42,34.45,34.5],\"height_above_bottom_m\":12.0}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":4,\"result\":{\"seabed_depth_m\":1.0041631064513033e3,\"seabed_depth_m_hex\":\"408f614e0ac150ea\",\"echo_one_way_time_s\":6.711994030112177e-1,\"echo_one_way_time_s_hex\":\"3fe57a772ba0e497\",\"echo_sounder_depth_m\":1.0067991045168266e3,\"echo_sounder_depth_m_hex\":\"408f766490e8aed9\",\"mean_sound_speed_m_per_s\":1.4960727049909501e3,\"mean_sound_speed_m_per_s_hex\":\"4097604a732d598c\",\"depth_m\":[0.0e0,4.9805627766125696e1,9.957710069328644e1,1.4930980476059196e2,1.990166314631333e2,2.9837065298241237e2,3.9765873902576857e2,4.968879894150279e2,5.960598625479686e2,6.951735075733735e2,7.942279706099364e2,8.932240851538774e2,9.921631064513033e2],\"depth_m_hex\":[\"0000000000000000\",\"4048e71ecf862134\",\"4058e4ef37bf0a82\",\"4062a9e9ebac5c67\",\"4068e0883eb4c7c0\",\"4072a5ee31d25a04\",\"4078da8a31eec466\",\"407f0e3534638bd3\",\"4082a07a99372e3e\",\"4085b96357f049fb\",\"4088d1d2e2415102\",\"408be9caed283b61\",\"408f014e0ac150ea\"],\"density_kg_per_m3\":[1.0248169189978144e3,1.0251993890713863e3,1.0262010433462706e3,1.0267751350136248e3,1.0272466902913372e3,1.0279734828746923e3,1.0285652794398477e3,1.0291466972246333e3,1.0297096331483363e3,1.0303101206335762e3,1.0308942720633788e3,1.0314788508047934e3,1.0320382151996305e3],\"density_kg_per_m3_hex\":[\"409003448669ec60\",\"409004cc2ca61323\",\"409008cdde4e953e\",\"40900b19bcfe3603\",\"40900cfc9c613623\",\"40900fe4d8b1d814\",\"40901242d89d0cfd\",\"4090149637cc18db\",\"409016d6aa12710c\",\"4090193d90436c19\",\"40901b93bc0e47c1\",\"40901dea57dd8901\",\"4090202721e2a27e\"],\"sound_speed_m_per_s\":[1.5262056319866172e3,1.5254260033671926e3,1.51881701083791e3,1.5131394932648652e3,1.5080618156580326e3,1.501013972983033e3,1.49678545843289e3,1.4939270602669783e3,1.4901060846132593e3,1.4857597052485494e3,1.4829221131215206e3,1.4812958589244379e3,1.4809029822345929e3],\"sound_speed_m_per_s_hex\":[\"4097d8d291310621\",\"4097d5b43a3a0850\",\"4097bb449e7d3534\",\"4097a48ed7528a6f\",\"4097903f4c9a9686\",\"4097740e4eef049e\",\"409763244f372685\",\"409757b54f49605f\",\"4097486ca171e23b\",\"40973709f02c347a\",\"40972bb03e6c1093\",\"4097252ef5a452c3\",\"4097239ca75ff9c8\"]},\"invariants\":{\"hydrostatic_residual\":5.820766091346741e-16,\"hydrostatic_residual_hex\":\"3cc4f8b588e368f1\",\"column_weight_residual_dbar\":0.0e0,\"column_weight_residual_dbar_hex\":\"0000000000000000\"},\"field_sha256\":\"8fec3250b9fcb403c9d955107d39e237b134d054b7bd0e85e8ea7b195d6e40ce\",\"seal_parts\":{\"inputs\":\"8d90a5996d9777ddefa2f01d6d750e8cfe6ec2b6b73901d77bdc38f2d9d93b65\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"dcaf42a8bcdadb677c5c2736bd4a6dc923045544cd6d72d9ea95cca392a29102\",\"invariants\":\"69269282056c37b89fccaf444ac640c6fb72a948a2a31fddede24958f5d60fd5\",\"field_sha256\":\"3ae6d522a32ea224ca28c47a94d3da16c6ab42c0d8ed0ac641d9b2609bfdd21b\",\"outcome\":\"21838fe24fedb22857aa498abeabbb8318d8fda1a1cb8174b9c306c9a2dfba1e\"},\"solution_seal\":\"f4f735cd59e01a20dcffbaa461de50a9595fe7ecd76ef0c274b308c715077a6a\",\"receipt_sha256\":\"ae9baf0d0489c3964228a34beb6d0519931f5e9d854a10e0419deeb4e0df7e4c\"}", "outside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -31.0, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.00000000000006, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0], \"temperature_c\": [21.5, 20.9, 18.2, 16.1, 14.3, 11.8, 10.2, 9.0, 7.6, 6.1, 5.0, 4.2, 3.7], \"practical_salinity\": [35.6, 35.6, 35.7, 35.5, 35.3, 35.0, 34.8, 34.7, 34.55, 34.45, 34.42, 34.45, 34.5], \"height_above_bottom_m\": 12.0}}", "outside_answer": "Physical Violation: level 6 is 100.00000000000006 dbar below the level before it, more than 100 (LevelGapTooWide).", "outside_answer_is_error": true}
{"id": "edge-be5dc480d1a2", "model": "seawater_column", "solver": "seawater_column", "tool": "solve", "specimen": "Depth, density and sound speed at every level of one measured seawater cast (pressure, temperature, salinity), from the TEOS-10 Gibbs function and the weight of the water above, and the depth an echo sounder reads over it; no constant is fitted.", "base": "example_solve", "input": "parameters.sea_pressure_dbar[12]", "input_unit": "dbar", "whole_number_input": false, "base_value": 1000.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 900.0000000000001, "inside_value_hex": "408c200000000001", "outside_value": 900.0, "outside_value_hex": "408c200000000000", "width": 1.1368683772161603e-13, "adjacent_64_bit_numbers": true, "stop_name": "PressureNotRising", "stop_sentence": "Physical Violation: the sea pressure at level 12 is not above the pressure of the level before it (PressureNotRising).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 4, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "4f1784488aad8432b40e5ca8997a0995070dc096e8731642b5cc581892b3a8dc", "outside_proof": null, "inside_receipt": "2328e49b5dc2fad65c9f988afbf67a694076a81d8cffb7834bbe9eac1b1ed360", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:46:06Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -31.0, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 900.0000000000001], \"temperature_c\": [21.5, 20.9, 18.2, 16.1, 14.3, 11.8, 10.2, 9.0, 7.6, 6.1, 5.0, 4.2, 3.7], \"practical_salinity\": [35.6, 35.6, 35.7, 35.5, 35.3, 35.0, 34.8, 34.7, 34.55, 34.45, 34.42, 34.45, 34.5], \"height_above_bottom_m\": 12.0}}", "inside_answer": "{\"inputs\":{\"solver\":\"seawater_column\",\"parameters\":{\"latitude_deg\":-31.0,\"sea_pressure_dbar\":[0.0,50.0,100.0,150.0,200.0,300.0,400.0,500.0,600.0,700.0,800.0,900.0,900.0000000000001],\"temperature_c\":[21.5,20.9,18.2,16.1,14.3,11.8,10.2,9.0,7.6,6.1,5.0,4.2,3.7],\"practical_salinity\":[35.6,35.6,35.7,35.5,35.3,35.0,34.8,34.7,34.55,34.45,34.42,34.45,34.5],\"height_above_bottom_m\":12.0}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":4,\"result\":{\"seabed_depth_m\":9.052240851538775e2,\"seabed_depth_m_hex\":\"408c49caed283b62\",\"echo_one_way_time_s\":6.044073150829783e-1,\"echo_one_way_time_s_hex\":\"3fe3574e0277d36e\",\"echo_sounder_depth_m\":9.066109726244674e2,\"echo_sounder_depth_m_hex\":\"408c54e3459d86b6\",\"mean_sound_speed_m_per_s\":1.4977053760998913e3,\"mean_sound_speed_m_per_s_hex\":\"409766d24e1cc1a7\",\"depth_m\":[0.0e0,4.9805627766125696e1,9.957710069328644e1,1.4930980476059196e2,1.990166314631333e2,2.9837065298241237e2,3.9765873902576857e2,4.968879894150279e2,5.960598625479686e2,6.951735075733735e2,7.942279706099364e2,8.932240851538774e2,8.932240851538775e2],\"depth_m_hex\":[\"0000000000000000\",\"4048e71ecf862134\",\"4058e4ef37bf0a82\",\"4062a9e9ebac5c67\",\"4068e0883eb4c7c0\",\"4072a5ee31d25a04\",\"4078da8a31eec466\",\"407f0e3534638bd3\",\"4082a07a99372e3e\",\"4085b96357f049fb\",\"4088d1d2e2415102\",\"408be9caed283b61\",\"408be9caed283b62\"],\"density_kg_per_m3\":[1.0248169189978144e3,1.0251993890713863e3,1.0262010433462706e3,1.0267751350136248e3,1.0272466902913372e3,1.0279734828746923e3,1.0285652794398477e3,1.0291466972246333e3,1.0297096331483363e3,1.0303101206335762e3,1.0308942720633788e3,1.0314788508047934e3,1.0315807287686762e3],\"density_kg_per_m3_hex\":[\"409003448669ec60\",\"409004cc2ca61323\",\"409008cdde4e953e\",\"40900b19bcfe3603\",\"40900cfc9c613623\",\"40900fe4d8b1d814\",\"40901242d89d0cfd\",\"4090149637cc18db\",\"409016d6aa12710c\",\"4090193d90436c19\",\"40901b93bc0e47c1\",\"40901dea57dd8901\",\"40901e52aa8ff53e\"],\"sound_speed_m_per_s\":[1.5262056319866172e3,1.5254260033671926e3,1.51881701083791e3,1.5131394932648652e3,1.5080618156580326e3,1.501013972983033e3,1.49678545843289e3,1.4939270602669783e3,1.4901060846132593e3,1.4857597052485494e3,1.4829221131215206e3,1.4812958589244379e3,1.4792636445120868e3],\"sound_speed_m_per_s_hex\":[\"4097d8d291310621\",\"4097d5b43a3a0850\",\"4097bb449e7d3534\",\"4097a48ed7528a6f\",\"4097903f4c9a9686\",\"4097740e4eef049e\",\"409763244f372685\",\"409757b54f49605f\",\"4097486ca171e23b\",\"40973709f02c347a\",\"40972bb03e6c1093\",\"4097252ef5a452c3\",\"40971d0df8d3b4bb\"]},\"invariants\":{\"hydrostatic_residual\":1.048825871631816e-2,\"hydrostatic_residual_hex\":\"3f857ade416db7e9\",\"column_weight_residual_dbar\":0.0e0,\"column_weight_residual_dbar_hex\":\"0000000000000000\"},\"field_sha256\":\"11a3ccf3e959d8ff56c3a336c83e54bf0aa1b162b7082fadb6d5038d4e01b774\",\"seal_parts\":{\"inputs\":\"f1ae6a2f0413059bbbf568d2585c0c78b962d082e910597f1f4401b99a4b83db\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"c4700954604fd493f53253d58d0c2b36397930c43122a8ba816436e4fc5d365d\",\"invariants\":\"1b641f40b8614f68d6652c3d65edb82464b17333aa5c777c41f7b12255a78ef9\",\"field_sha256\":\"1dc43339cdfa4163d28891c204ec3f9e94875c046c56934d48039c51649ba9cc\",\"outcome\":\"21838fe24fedb22857aa498abeabbb8318d8fda1a1cb8174b9c306c9a2dfba1e\"},\"solution_seal\":\"4f1784488aad8432b40e5ca8997a0995070dc096e8731642b5cc581892b3a8dc\",\"receipt_sha256\":\"2328e49b5dc2fad65c9f988afbf67a694076a81d8cffb7834bbe9eac1b1ed360\"}", "outside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -31.0, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 900.0], \"temperature_c\": [21.5, 20.9, 18.2, 16.1, 14.3, 11.8, 10.2, 9.0, 7.6, 6.1, 5.0, 4.2, 3.7], \"practical_salinity\": [35.6, 35.6, 35.7, 35.5, 35.3, 35.0, 34.8, 34.7, 34.55, 34.45, 34.42, 34.45, 34.5], \"height_above_bottom_m\": 12.0}}", "outside_answer": "Physical Violation: the sea pressure at level 12 is not above the pressure of the level before it (PressureNotRising).", "outside_answer_is_error": true}
{"id": "edge-158e3ec185ba", "model": "seawater_column", "solver": "seawater_column", "tool": "solve", "specimen": "Depth, density and sound speed at every level of one measured seawater cast (pressure, temperature, salinity), from the TEOS-10 Gibbs function and the weight of the water above, and the depth an echo sounder reads over it; no constant is fitted.", "base": "example_solve", "input": "parameters.sea_pressure_dbar[12]", "input_unit": "dbar", "whole_number_input": false, "base_value": 1000.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 1000.0, "inside_value_hex": "408f400000000000", "outside_value": 1000.0000000000001, "outside_value_hex": "408f400000000001", "width": 1.1368683772161603e-13, "adjacent_64_bit_numbers": true, "stop_name": "LevelGapTooWide", "stop_sentence": "Physical Violation: level 12 is 100.00000000000011 dbar below the level before it, more than 100 (LevelGapTooWide).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 4, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "f4f735cd59e01a20dcffbaa461de50a9595fe7ecd76ef0c274b308c715077a6a", "outside_proof": null, "inside_receipt": "ae9baf0d0489c3964228a34beb6d0519931f5e9d854a10e0419deeb4e0df7e4c", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:46:03Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -31.0, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0], \"temperature_c\": [21.5, 20.9, 18.2, 16.1, 14.3, 11.8, 10.2, 9.0, 7.6, 6.1, 5.0, 4.2, 3.7], \"practical_salinity\": [35.6, 35.6, 35.7, 35.5, 35.3, 35.0, 34.8, 34.7, 34.55, 34.45, 34.42, 34.45, 34.5], \"height_above_bottom_m\": 12.0}}", "inside_answer": "{\"inputs\":{\"solver\":\"seawater_column\",\"parameters\":{\"latitude_deg\":-31.0,\"sea_pressure_dbar\":[0.0,50.0,100.0,150.0,200.0,300.0,400.0,500.0,600.0,700.0,800.0,900.0,1000.0],\"temperature_c\":[21.5,20.9,18.2,16.1,14.3,11.8,10.2,9.0,7.6,6.1,5.0,4.2,3.7],\"practical_salinity\":[35.6,35.6,35.7,35.5,35.3,35.0,34.8,34.7,34.55,34.45,34.42,34.45,34.5],\"height_above_bottom_m\":12.0}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":4,\"result\":{\"seabed_depth_m\":1.0041631064513033e3,\"seabed_depth_m_hex\":\"408f614e0ac150ea\",\"echo_one_way_time_s\":6.711994030112177e-1,\"echo_one_way_time_s_hex\":\"3fe57a772ba0e497\",\"echo_sounder_depth_m\":1.0067991045168266e3,\"echo_sounder_depth_m_hex\":\"408f766490e8aed9\",\"mean_sound_speed_m_per_s\":1.4960727049909501e3,\"mean_sound_speed_m_per_s_hex\":\"4097604a732d598c\",\"depth_m\":[0.0e0,4.9805627766125696e1,9.957710069328644e1,1.4930980476059196e2,1.990166314631333e2,2.9837065298241237e2,3.9765873902576857e2,4.968879894150279e2,5.960598625479686e2,6.951735075733735e2,7.942279706099364e2,8.932240851538774e2,9.921631064513033e2],\"depth_m_hex\":[\"0000000000000000\",\"4048e71ecf862134\",\"4058e4ef37bf0a82\",\"4062a9e9ebac5c67\",\"4068e0883eb4c7c0\",\"4072a5ee31d25a04\",\"4078da8a31eec466\",\"407f0e3534638bd3\",\"4082a07a99372e3e\",\"4085b96357f049fb\",\"4088d1d2e2415102\",\"408be9caed283b61\",\"408f014e0ac150ea\"],\"density_kg_per_m3\":[1.0248169189978144e3,1.0251993890713863e3,1.0262010433462706e3,1.0267751350136248e3,1.0272466902913372e3,1.0279734828746923e3,1.0285652794398477e3,1.0291466972246333e3,1.0297096331483363e3,1.0303101206335762e3,1.0308942720633788e3,1.0314788508047934e3,1.0320382151996305e3],\"density_kg_per_m3_hex\":[\"409003448669ec60\",\"409004cc2ca61323\",\"409008cdde4e953e\",\"40900b19bcfe3603\",\"40900cfc9c613623\",\"40900fe4d8b1d814\",\"40901242d89d0cfd\",\"4090149637cc18db\",\"409016d6aa12710c\",\"4090193d90436c19\",\"40901b93bc0e47c1\",\"40901dea57dd8901\",\"4090202721e2a27e\"],\"sound_speed_m_per_s\":[1.5262056319866172e3,1.5254260033671926e3,1.51881701083791e3,1.5131394932648652e3,1.5080618156580326e3,1.501013972983033e3,1.49678545843289e3,1.4939270602669783e3,1.4901060846132593e3,1.4857597052485494e3,1.4829221131215206e3,1.4812958589244379e3,1.4809029822345929e3],\"sound_speed_m_per_s_hex\":[\"4097d8d291310621\",\"4097d5b43a3a0850\",\"4097bb449e7d3534\",\"4097a48ed7528a6f\",\"4097903f4c9a9686\",\"4097740e4eef049e\",\"409763244f372685\",\"409757b54f49605f\",\"4097486ca171e23b\",\"40973709f02c347a\",\"40972bb03e6c1093\",\"4097252ef5a452c3\",\"4097239ca75ff9c8\"]},\"invariants\":{\"hydrostatic_residual\":5.820766091346741e-16,\"hydrostatic_residual_hex\":\"3cc4f8b588e368f1\",\"column_weight_residual_dbar\":0.0e0,\"column_weight_residual_dbar_hex\":\"0000000000000000\"},\"field_sha256\":\"8fec3250b9fcb403c9d955107d39e237b134d054b7bd0e85e8ea7b195d6e40ce\",\"seal_parts\":{\"inputs\":\"8d90a5996d9777ddefa2f01d6d750e8cfe6ec2b6b73901d77bdc38f2d9d93b65\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"dcaf42a8bcdadb677c5c2736bd4a6dc923045544cd6d72d9ea95cca392a29102\",\"invariants\":\"69269282056c37b89fccaf444ac640c6fb72a948a2a31fddede24958f5d60fd5\",\"field_sha256\":\"3ae6d522a32ea224ca28c47a94d3da16c6ab42c0d8ed0ac641d9b2609bfdd21b\",\"outcome\":\"21838fe24fedb22857aa498abeabbb8318d8fda1a1cb8174b9c306c9a2dfba1e\"},\"solution_seal\":\"f4f735cd59e01a20dcffbaa461de50a9595fe7ecd76ef0c274b308c715077a6a\",\"receipt_sha256\":\"ae9baf0d0489c3964228a34beb6d0519931f5e9d854a10e0419deeb4e0df7e4c\"}", "outside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -31.0, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0000000000001], \"temperature_c\": [21.5, 20.9, 18.2, 16.1, 14.3, 11.8, 10.2, 9.0, 7.6, 6.1, 5.0, 4.2, 3.7], \"practical_salinity\": [35.6, 35.6, 35.7, 35.5, 35.3, 35.0, 34.8, 34.7, 34.55, 34.45, 34.42, 34.45, 34.5], \"height_above_bottom_m\": 12.0}}", "outside_answer": "Physical Violation: level 12 is 100.00000000000011 dbar below the level before it, more than 100 (LevelGapTooWide).", "outside_answer_is_error": true}
{"id": "edge-6bc8ba06167e", "model": "seawater_column", "solver": "seawater_column", "tool": "solve", "specimen": "Depth, density and sound speed at every level of one measured seawater cast (pressure, temperature, salinity), from the TEOS-10 Gibbs function and the weight of the water above, and the depth an echo sounder reads over it; no constant is fitted.", "base": "example_solve", "input": "parameters.temperature_c[0]", "input_unit": "degC", "whole_number_input": false, "base_value": 21.5, "edge_kind": "declared_limit", "direction": "down", "inside_value": 0.5088, "inside_value_hex": "3fe04816f0068db9", "outside_value": 0.5087999999999999, "outside_value_hex": "3fe04816f0068db8", "width": 1.1102230246251565e-16, "adjacent_64_bit_numbers": true, "stop_name": "TemperatureOutsideCompared", "stop_sentence": "Physical Violation: temperature 0.5087999999999999 degC at level 0 is outside 0.5088..=31.169, the temperatures compared with measurement (TemperatureOutsideCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 4, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "c6c7d6e2dced6ed26585c5f67164ec05f33790d1dc6c08edacafc480c4da98d3", "outside_proof": null, "inside_receipt": "adbce9e413c1dca7e9d8844c504bb0b0b14c8b0d17c284259629040babb7c4a2", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:46:09Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -31.0, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0], \"temperature_c\": [0.5088, 20.9, 18.2, 16.1, 14.3, 11.8, 10.2, 9.0, 7.6, 6.1, 5.0, 4.2, 3.7], \"practical_salinity\": [35.6, 35.6, 35.7, 35.5, 35.3, 35.0, 34.8, 34.7, 34.55, 34.45, 34.42, 34.45, 34.5], \"height_above_bottom_m\": 12.0}}", "inside_answer": "{\"inputs\":{\"solver\":\"seawater_column\",\"parameters\":{\"latitude_deg\":-31.0,\"sea_pressure_dbar\":[0.0,50.0,100.0,150.0,200.0,300.0,400.0,500.0,600.0,700.0,800.0,900.0,1000.0],\"temperature_c\":[0.5088,20.9,18.2,16.1,14.3,11.8,10.2,9.0,7.6,6.1,5.0,4.2,3.7],\"practical_salinity\":[35.6,35.6,35.7,35.5,35.3,35.0,34.8,34.7,34.55,34.45,34.42,34.45,34.5],\"height_above_bottom_m\":12.0}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":4,\"result\":{\"seabed_depth_m\":1.004072463435675e3,\"seabed_depth_m_hex\":\"408f609467b5b30a\",\"echo_one_way_time_s\":6.71970637601816e-1,\"echo_one_way_time_s_hex\":\"3fe580c8910be7fa\",\"echo_sounder_depth_m\":1.0079559564027239e3,\"echo_sounder_depth_m_hex\":\"408f7fa5cc7870cf\",\"mean_sound_speed_m_per_s\":1.494220740089316e3,\"mean_sound_speed_m_per_s_hex\":\"409758e209b0a21d\",\"depth_m\":[0.0e0,4.971496544621853e1,9.948643939315811e1,1.492191444794252e2,1.9892597220037504e2,2.982799957551808e2,3.975680838326215e2,4.967973362546687e2,5.959692114191308e2,6.950828584747734e2,7.941373235402709e2,8.931334401118605e2,9.92072463435675e2],\"depth_m_hex\":[\"0000000000000000\",\"4048db83fcdca3aa\",\"4058df21d2b14669\",\"4062a7033b48875e\",\"4068dda19073b3b6\",\"4072a47adcd43853\",\"4078d916df12a7ee\",\"407f0cc1e3a91b7a\",\"40829fc0f1eaa09d\",\"4085b8a9b1b43ac9\",\"4088d1193d15937a\",\"408be911490ca353\",\"408f009467b5b30a\"],\"density_kg_per_m3\":[1.0285608671285424e3,1.0251993890713863e3,1.0262010433462706e3,1.0267751350136248e3,1.0272466902913372e3,1.0279734828746923e3,1.0285652794398477e3,1.0291466972246333e3,1.0297096331483363e3,1.0303101206335762e3,1.0308942720633788e3,1.0314788508047934e3,1.0320382151996305e3],\"density_kg_per_m3_hex\":[\"4090123e53f3d9f7\",\"409004cc2ca61323\",\"409008cdde4e953e\",\"40900b19bcfe3603\",\"40900cfc9c613623\",\"40900fe4d8b1d814\",\"40901242d89d0cfd\",\"4090149637cc18db\",\"409016d6aa12710c\",\"4090193d90436c19\",\"40901b93bc0e47c1\",\"40901dea57dd8901\",\"4090202721e2a27e\"],\"sound_speed_m_per_s\":[1.4521463584853325e3,1.5254260033671926e3,1.51881701083791e3,1.5131394932648652e3,1.5080618156580326e3,1.501013972983033e3,1.49678545843289e3,1.4939270602669783e3,1.4901060846132593e3,1.4857597052485494e3,1.4829221131215206e3,1.4812958589244379e3,1.4809029822345929e3],\"sound_speed_m_per_s_hex\":[\"4096b095deffaffb\",\"4097d5b43a3a0850\",\"4097bb449e7d3534\",\"4097a48ed7528a6f\",\"4097903f4c9a9686\",\"4097740e4eef049e\",\"409763244f372685\",\"409757b54f49605f\",\"4097486ca171e23b\",\"40973709f02c347a\",\"40972bb03e6c1093\",\"4097252ef5a452c3\",\"4097239ca75ff9c8\"]},\"invariants\":{\"hydrostatic_residual\":8.149072527885437e-16,\"hydrostatic_residual_hex\":\"3ccd5c31593e5fb7\",\"column_weight_residual_dbar\":0.0e0,\"column_weight_residual_dbar_hex\":\"0000000000000000\"},\"field_sha256\":\"f89405b5be2707bb91c5fc505f2f1317b845d6c6e7bd2d66b82306e730de5315\",\"seal_parts\":{\"inputs\":\"c9315a97a4a1c5a14ca4ad4068da33dfe6f511ac26d0617af866a800c5535588\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"ac3da10237f2ea4ce4147c3f5c8a8aa356b71c2d3305e7104d98f9902870dba8\",\"invariants\":\"2ac04d195b60074e6eb398c0cea06f4cc5403dfd8ef1e2c41c8ffd4dd7b0c980\",\"field_sha256\":\"b034732526ead50b9c6f34379612d14aed9c394c51c144a105ec5ce14b8821ac\",\"outcome\":\"21838fe24fedb22857aa498abeabbb8318d8fda1a1cb8174b9c306c9a2dfba1e\"},\"solution_seal\":\"c6c7d6e2dced6ed26585c5f67164ec05f33790d1dc6c08edacafc480c4da98d3\",\"receipt_sha256\":\"adbce9e413c1dca7e9d8844c504bb0b0b14c8b0d17c284259629040babb7c4a2\"}", "outside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -31.0, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0], \"temperature_c\": [0.5087999999999999, 20.9, 18.2, 16.1, 14.3, 11.8, 10.2, 9.0, 7.6, 6.1, 5.0, 4.2, 3.7], \"practical_salinity\": [35.6, 35.6, 35.7, 35.5, 35.3, 35.0, 34.8, 34.7, 34.55, 34.45, 34.42, 34.45, 34.5], \"height_above_bottom_m\": 12.0}}", "outside_answer": "Physical Violation: temperature 0.5087999999999999 degC at level 0 is outside 0.5088..=31.169, the temperatures compared with measurement (TemperatureOutsideCompared).", "outside_answer_is_error": true}
{"id": "edge-7fe84c36bd00", "model": "seawater_column", "solver": "seawater_column", "tool": "solve", "specimen": "Depth, density and sound speed at every level of one measured seawater cast (pressure, temperature, salinity), from the TEOS-10 Gibbs function and the weight of the water above, and the depth an echo sounder reads over it; no constant is fitted.", "base": "example_solve", "input": "parameters.temperature_c[0]", "input_unit": "degC", "whole_number_input": false, "base_value": 21.5, "edge_kind": "declared_limit", "direction": "up", "inside_value": 31.169, "inside_value_hex": "403f2b4395810625", "outside_value": 31.169000000000004, "outside_value_hex": "403f2b4395810626", "width": 3.552713678800501e-15, "adjacent_64_bit_numbers": true, "stop_name": "TemperatureOutsideCompared", "stop_sentence": "Physical Violation: temperature 31.169000000000004 degC at level 0 is outside 0.5088..=31.169, the temperatures compared with measurement (TemperatureOutsideCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 4, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "8146206d8fc7ce5ee6e3dc360a65410db8ac62f1f0bf8eec8448c16fd8fddc9e", "outside_proof": null, "inside_receipt": "5d00b9331c27d80a7d1b34809a8895ab0184857aca9397189d4784100861590a", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:46:10Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -31.0, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0], \"temperature_c\": [31.169, 20.9, 18.2, 16.1, 14.3, 11.8, 10.2, 9.0, 7.6, 6.1, 5.0, 4.2, 3.7], \"practical_salinity\": [35.6, 35.6, 35.7, 35.5, 35.3, 35.0, 34.8, 34.7, 34.55, 34.45, 34.42, 34.45, 34.5], \"height_above_bottom_m\": 12.0}}", "inside_answer": "{\"inputs\":{\"solver\":\"seawater_column\",\"parameters\":{\"latitude_deg\":-31.0,\"sea_pressure_dbar\":[0.0,50.0,100.0,150.0,200.0,300.0,400.0,500.0,600.0,700.0,800.0,900.0,1000.0],\"temperature_c\":[31.169,20.9,18.2,16.1,14.3,11.8,10.2,9.0,7.6,6.1,5.0,4.2,3.7],\"practical_salinity\":[35.6,35.6,35.7,35.5,35.3,35.0,34.8,34.7,34.55,34.45,34.42,34.45,34.5],\"height_above_bottom_m\":12.0}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":4,\"result\":{\"seabed_depth_m\":1.0042373523949142e3,\"seabed_depth_m_hex\":\"408f61e619032e45\",\"echo_one_way_time_s\":6.710132010882202e-1,\"echo_one_way_time_s_hex\":\"3fe578f0ad3b7630\",\"echo_sounder_depth_m\":1.0065198016323302e3,\"echo_sounder_depth_m_hex\":\"408f74288dc21a20\",\"mean_sound_speed_m_per_s\":1.4965985032280819e3,\"mean_sound_speed_m_per_s_hex\":\"40976264de07bca6\",\"depth_m\":[0.0e0,4.9879889521924255e1,9.965136161378138e1,1.493840648464527e2,1.9909089071481287e2,2.9844491056678646e2,3.977329949440185e2,4.969622436682157e2,5.961341151371316e2,6.952477584995634e2,7.943022198742204e2,8.932983327573088e2,9.922373523949142e2],\"depth_m_hex\":[\"0000000000000000\",\"4048f0a0384860fe\",\"4058e9afe89f43e4\",\"4062ac4a425c61d8\",\"4068e2e893a4f434\",\"4072a71e5a8adfe2\",\"4078dbba58e80b16\",\"407f0f65599ddc50\",\"4082a112aaf4ff08\",\"4085b9fb68cee772\",\"4088d26af240dfd3\",\"408bea62fc48dfbc\",\"408f01e619032e45\"],\"density_kg_per_m3\":[1.0217704863998912e3,1.0251993890713863e3,1.0262010433462706e3,1.0267751350136248e3,1.0272466902913372e3,1.0279734828746923e3,1.0285652794398477e3,1.0291466972246333e3,1.0297096331483363e3,1.0303101206335762e3,1.0308942720633788e3,1.0314788508047934e3,1.0320382151996305e3],\"density_kg_per_m3_hex\":[\"408fee29f4c60c5d\",\"409004cc2ca61323\",\"409008cdde4e953e\",\"40900b19bcfe3603\",\"40900cfc9c613623\",\"40900fe4d8b1d814\",\"40901242d89d0cfd\",\"4090149637cc18db\",\"409016d6aa12710c\",\"4090193d90436c19\",\"40901b93bc0e47c1\",\"40901dea57dd8901\",\"4090202721e2a27e\"],\"sound_speed_m_per_s\":[1.548460738372666e3,1.5254260033671926e3,1.51881701083791e3,1.5131394932648652e3,1.5080618156580326e3,1.501013972983033e3,1.49678545843289e3,1.4939270602669783e3,1.4901060846132593e3,1.4857597052485494e3,1.4829221131215206e3,1.4812958589244379e3,1.4809029822345929e3],\"sound_speed_m_per_s_hex\":[\"409831d7cbccca73\",\"4097d5b43a3a0850\",\"4097bb449e7d3534\",\"4097a48ed7528a6f\",\"4097903f4c9a9686\",\"4097740e4eef049e\",\"409763244f372685\",\"409757b54f49605f\",\"4097486ca171e23b\",\"40973709f02c347a\",\"40972bb03e6c1093\",\"4097252ef5a452c3\",\"4097239ca75ff9c8\"]},\"invariants\":{\"hydrostatic_residual\":5.820766091346741e-16,\"hydrostatic_residual_hex\":\"3cc4f8b588e368f1\",\"column_weight_residual_dbar\":0.0e0,\"column_weight_residual_dbar_hex\":\"0000000000000000\"},\"field_sha256\":\"f61e6e0d4c0db0464606a8f07c81a7398957f5ed8ab1dadd1df5bed305678e41\",\"seal_parts\":{\"inputs\":\"193fe92e882d0284e8097b10c8d0db182c68d25b927d87f20cdb07fe56a710cf\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"36a10993d55caa36d85257eab3dc2e61bd1961d93255cc8d0a249ea65e6ca73d\",\"invariants\":\"69269282056c37b89fccaf444ac640c6fb72a948a2a31fddede24958f5d60fd5\",\"field_sha256\":\"4a22c7fd3346b9f35a3b63e199d231f2e7491e436ca3b8078ceaacd7f14827ad\",\"outcome\":\"21838fe24fedb22857aa498abeabbb8318d8fda1a1cb8174b9c306c9a2dfba1e\"},\"solution_seal\":\"8146206d8fc7ce5ee6e3dc360a65410db8ac62f1f0bf8eec8448c16fd8fddc9e\",\"receipt_sha256\":\"5d00b9331c27d80a7d1b34809a8895ab0184857aca9397189d4784100861590a\"}", "outside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -31.0, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0], \"temperature_c\": [31.169000000000004, 20.9, 18.2, 16.1, 14.3, 11.8, 10.2, 9.0, 7.6, 6.1, 5.0, 4.2, 3.7], \"practical_salinity\": [35.6, 35.6, 35.7, 35.5, 35.3, 35.0, 34.8, 34.7, 34.55, 34.45, 34.42, 34.45, 34.5], \"height_above_bottom_m\": 12.0}}", "outside_answer": "Physical Violation: temperature 31.169000000000004 degC at level 0 is outside 0.5088..=31.169, the temperatures compared with measurement (TemperatureOutsideCompared).", "outside_answer_is_error": true}
{"id": "edge-6c9b28ee7795", "model": "seawater_column", "solver": "seawater_column", "tool": "solve", "specimen": "Depth, density and sound speed at every level of one measured seawater cast (pressure, temperature, salinity), from the TEOS-10 Gibbs function and the weight of the water above, and the depth an echo sounder reads over it; no constant is fitted.", "base": "example_solve", "input": "parameters.temperature_c[6]", "input_unit": "degC", "whole_number_input": false, "base_value": 10.2, "edge_kind": "declared_limit", "direction": "down", "inside_value": 0.5088, "inside_value_hex": "3fe04816f0068db9", "outside_value": 0.5087999999999999, "outside_value_hex": "3fe04816f0068db8", "width": 1.1102230246251565e-16, "adjacent_64_bit_numbers": true, "stop_name": "TemperatureOutsideCompared", "stop_sentence": "Physical Violation: temperature 0.5087999999999999 degC at level 6 is outside 0.5088..=31.169, the temperatures compared with measurement (TemperatureOutsideCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 4, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "90f90d9b990425d7700617ce9bac74c53a49beedc89ee6ca9f44d986cb5f0093", "outside_proof": null, "inside_receipt": "31d981dae2428702b626c1e31d2dea27456ebea4ebb85c6b43fa2907dece54cf", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:46:12Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -31.0, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0], \"temperature_c\": [21.5, 20.9, 18.2, 16.1, 14.3, 11.8, 0.5088, 9.0, 7.6, 6.1, 5.0, 4.2, 3.7], \"practical_salinity\": [35.6, 35.6, 35.7, 35.5, 35.3, 35.0, 34.8, 34.7, 34.55, 34.45, 34.42, 34.45, 34.5], \"height_above_bottom_m\": 12.0}}", "inside_answer": "{\"inputs\":{\"solver\":\"seawater_column\",\"parameters\":{\"latitude_deg\":-31.0,\"sea_pressure_dbar\":[0.0,50.0,100.0,150.0,200.0,300.0,400.0,500.0,600.0,700.0,800.0,900.0,1000.0],\"temperature_c\":[21.5,20.9,18.2,16.1,14.3,11.8,0.5088,9.0,7.6,6.1,5.0,4.2,3.7],\"practical_salinity\":[35.6,35.6,35.7,35.5,35.3,35.0,34.8,34.7,34.55,34.45,34.42,34.45,34.5],\"height_above_bottom_m\":12.0}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":4,\"result\":{\"seabed_depth_m\":1.0040432340964919e3,\"seabed_depth_m_hex\":\"408f60588b1e340a\",\"echo_one_way_time_s\":6.729043453921556e-1,\"echo_one_way_time_s_hex\":\"3fe5886eb1997587\",\"echo_sounder_depth_m\":1.0093565180882334e3,\"echo_sounder_depth_m_hex\":\"408f8ada2627cb29\",\"mean_sound_speed_m_per_s\":1.492103953514158e3,\"mean_sound_speed_m_per_s_hex\":\"4097506a72ca3e74\",\"depth_m\":[0.0e0,4.9805627766125696e1,9.957710069328644e1,1.4930980476059196e2,1.990166314631333e2,2.9837065298241237e2,3.9759879479658827e2,4.967681036441493e2,5.959399794637092e2,6.950536271740355e2,7.941080928937964e2,8.931042101192348e2,9.920432340964919e2],\"depth_m_hex\":[\"0000000000000000\",\"4048e71ecf862134\",\"4058e4ef37bf0a82\",\"4062a9e9ebac5c67\",\"4068e0883eb4c7c0\",\"4072a5ee31d25a04\",\"4078d994a9da45c9\",\"407f0c4a270bf8f4\",\"40829f8513f3fc57\",\"4085b86dd4157546\",\"4088d0dd5fce9e49\",\"408be8d56c1d7035\",\"408f00588b1e340a\"],\"density_kg_per_m3\":[1.0248169189978144e3,1.0251993890713863e3,1.0262010433462706e3,1.0267751350136248e3,1.0272466902913372e3,1.0279734828746923e3,1.0298091260707188e3,1.0291466972246333e3,1.0297096331483363e3,1.0303101206335762e3,1.0308942720633788e3,1.0314788508047934e3,1.0320382151996305e3],\"density_kg_per_m3_hex\":[\"409003448669ec60\",\"409004cc2ca61323\",\"409008cdde4e953e\",\"40900b19bcfe3603\",\"40900cfc9c613623\",\"40900fe4d8b1d814\",\"4090173c8b8b7050\",\"4090149637cc18db\",\"409016d6aa12710c\",\"4090193d90436c19\",\"40901b93bc0e47c1\",\"40901dea57dd8901\",\"4090202721e2a27e\"],\"sound_speed_m_per_s\":[1.5262056319866172e3,1.5254260033671926e3,1.51881701083791e3,1.5131394932648652e3,1.5080618156580326e3,1.501013972983033e3,1.4575289660108092e3,1.4939270602669783e3,1.4901060846132593e3,1.4857597052485494e3,1.4829221131215206e3,1.4812958589244379e3,1.4809029822345929e3],\"sound_speed_m_per_s_hex\":[\"4097d8d291310621\",\"4097d5b43a3a0850\",\"4097bb449e7d3534\",\"4097a48ed7528a6f\",\"4097903f4c9a9686\",\"4097740e4eef049e\",\"4096c61da944147c\",\"409757b54f49605f\",\"4097486ca171e23b\",\"40973709f02c347a\",\"40972bb03e6c1093\",\"4097252ef5a452c3\",\"4097239ca75ff9c8\"]},\"invariants\":{\"hydrostatic_residual\":6.984919309616089e-16,\"hydrostatic_residual_hex\":\"3cc92a737110e454\",\"column_weight_residual_dbar\":0.0e0,\"column_weight_residual_dbar_hex\":\"0000000000000000\"},\"field_sha256\":\"54799495cf34c1cf72f19ed108fba97f288532c55d27f61ea72d2b0bb4cdbbfa\",\"seal_parts\":{\"inputs\":\"85a74b1080954b8b8a9db28810e61679f46c99b82803275e046302b14dd0c090\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"ed674deac98e4c43d1a46595a92c6717c4209c69935013cb6fd0af71228d74a5\",\"invariants\":\"35f1d7562bab61c35c410a74ebee03ad0bc2e71120fb14511a7567c6961093fc\",\"field_sha256\":\"648eb19fecea19ecbaf68dcac25b487f8327b6f2a569a1660a7a1de2522da64a\",\"outcome\":\"21838fe24fedb22857aa498abeabbb8318d8fda1a1cb8174b9c306c9a2dfba1e\"},\"solution_seal\":\"90f90d9b990425d7700617ce9bac74c53a49beedc89ee6ca9f44d986cb5f0093\",\"receipt_sha256\":\"31d981dae2428702b626c1e31d2dea27456ebea4ebb85c6b43fa2907dece54cf\"}", "outside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -31.0, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0], \"temperature_c\": [21.5, 20.9, 18.2, 16.1, 14.3, 11.8, 0.5087999999999999, 9.0, 7.6, 6.1, 5.0, 4.2, 3.7], \"practical_salinity\": [35.6, 35.6, 35.7, 35.5, 35.3, 35.0, 34.8, 34.7, 34.55, 34.45, 34.42, 34.45, 34.5], \"height_above_bottom_m\": 12.0}}", "outside_answer": "Physical Violation: temperature 0.5087999999999999 degC at level 6 is outside 0.5088..=31.169, the temperatures compared with measurement (TemperatureOutsideCompared).", "outside_answer_is_error": true}
{"id": "edge-0c811e1fc96c", "model": "seawater_column", "solver": "seawater_column", "tool": "solve", "specimen": "Depth, density and sound speed at every level of one measured seawater cast (pressure, temperature, salinity), from the TEOS-10 Gibbs function and the weight of the water above, and the depth an echo sounder reads over it; no constant is fitted.", "base": "example_solve", "input": "parameters.temperature_c[6]", "input_unit": "degC", "whole_number_input": false, "base_value": 10.2, "edge_kind": "declared_limit", "direction": "up", "inside_value": 31.169, "inside_value_hex": "403f2b4395810625", "outside_value": 31.169000000000004, "outside_value_hex": "403f2b4395810626", "width": 3.552713678800501e-15, "adjacent_64_bit_numbers": true, "stop_name": "TemperatureOutsideCompared", "stop_sentence": "Physical Violation: temperature 31.169000000000004 degC at level 6 is outside 0.5088..=31.169, the temperatures compared with measurement (TemperatureOutsideCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 4, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "3efbe0b69986a61f6e06265c320f45e194d9e8ae3d2e8f9e79ecfc8f08a495cc", "outside_proof": null, "inside_receipt": "3ea325afaaed05e2be24f89d133dbbde770ed0cdda2aad3e66e689abccaaaec7", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:46:14Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -31.0, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0], \"temperature_c\": [21.5, 20.9, 18.2, 16.1, 14.3, 11.8, 31.169, 9.0, 7.6, 6.1, 5.0, 4.2, 3.7], \"practical_salinity\": [35.6, 35.6, 35.7, 35.5, 35.3, 35.0, 34.8, 34.7, 34.55, 34.45, 34.42, 34.45, 34.5], \"height_above_bottom_m\": 12.0}}", "inside_answer": "{\"inputs\":{\"solver\":\"seawater_column\",\"parameters\":{\"latitude_deg\":-31.0,\"sea_pressure_dbar\":[0.0,50.0,100.0,150.0,200.0,300.0,400.0,500.0,600.0,700.0,800.0,900.0,1000.0],\"temperature_c\":[21.5,20.9,18.2,16.1,14.3,11.8,31.169,9.0,7.6,6.1,5.0,4.2,3.7],\"practical_salinity\":[35.6,35.6,35.7,35.5,35.3,35.0,34.8,34.7,34.55,34.45,34.42,34.45,34.5],\"height_above_bottom_m\":12.0}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":4,\"result\":{\"seabed_depth_m\":1.0047156184545806e3,\"seabed_depth_m_hex\":\"408f65b9962b16b4\",\"echo_one_way_time_s\":6.691106726620142e-1,\"echo_one_way_time_s_hex\":\"3fe5695ac90f9cfa\",\"echo_sounder_depth_m\":1.0036660089930213e3,\"echo_sounder_depth_m_hex\":\"408f5d53fc85def2\",\"mean_sound_speed_m_per_s\":1.501568663457995e3,\"mean_sound_speed_m_per_s_hex\":\"409776464fb6aa13\",\"depth_m\":[0.0e0,4.9805627766125696e1,9.957710069328644e1,1.4930980476059196e2,1.990166314631333e2,2.9837065298241237e2,3.979350321498929e2,4.9744056325522456e2,5.96612424005084e2,6.957260566552328e2,7.947805073244829e2,8.93776609508949e2,9.927156184545806e2],\"depth_m_hex\":[\"0000000000000000\",\"4048e71ecf862134\",\"4058e4ef37bf0a82\",\"4062a9e9ebac5c67\",\"4068e0883eb4c7c0\",\"4072a5ee31d25a04\",\"4078def5e44587fa\",\"407f170c8c0e5024\",\"4082a4e63e8e88f8\",\"4085bdcef6caaa25\",\"4088d63e7a9fc78a\",\"408bee367f0bd597\",\"408f05b9962b16b4\"],\"density_kg_per_m3\":[1.0248169189978144e3,1.0251993890713863e3,1.0262010433462706e3,1.0267751350136248e3,1.0272466902913372e3,1.0279734828746923e3,1.0228708056945522e3,1.0291466972246333e3,1.0297096331483363e3,1.0303101206335762e3,1.0308942720633788e3,1.0314788508047934e3,1.0320382151996305e3],\"density_kg_per_m3_hex\":[\"409003448669ec60\",\"409004cc2ca61323\",\"409008cdde4e953e\",\"40900b19bcfe3603\",\"40900cfc9c613623\",\"40900fe4d8b1d814\",\"408ff6f768f9da2e\",\"4090149637cc18db\",\"409016d6aa12710c\",\"4090193d90436c19\",\"40901b93bc0e47c1\",\"40901dea57dd8901\",\"4090202721e2a27e\"],\"sound_speed_m_per_s\":[1.5262056319866172e3,1.5254260033671926e3,1.51881701083791e3,1.5131394932648652e3,1.5080618156580326e3,1.501013972983033e3,1.5542290771521984e3,1.4939270602669783e3,1.4901060846132593e3,1.4857597052485494e3,1.4829221131215206e3,1.4812958589244379e3,1.4809029822345929e3],\"sound_speed_m_per_s_hex\":[\"4097d8d291310621\",\"4097d5b43a3a0850\",\"4097bb449e7d3534\",\"4097a48ed7528a6f\",\"4097903f4c9a9686\",\"4097740e4eef049e\",\"409848ea933373d0\",\"409757b54f49605f\",\"4097486ca171e23b\",\"40973709f02c347a\",\"40972bb03e6c1093\",\"4097252ef5a452c3\",\"4097239ca75ff9c8\"]},\"invariants\":{\"hydrostatic_residual\":3.4924596548080445e-16,\"hydrostatic_residual_hex\":\"3cb92a737110e454\",\"column_weight_residual_dbar\":0.0e0,\"column_weight_residual_dbar_hex\":\"0000000000000000\"},\"field_sha256\":\"65de6bce1d6236e42d069ea9492748f6aa4155a726a68d62043548c8e9ecc9d7\",\"seal_parts\":{\"inputs\":\"3836e73f5b4742dd9fdfefbc6fb8f167561999a07511bc4fd53cf504b3def2ea\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"361c7d82a3f94ab4332fc3b1d7b4b8d6f1099da79dda0315b6de3504261fa421\",\"invariants\":\"0a4fa1795fb5dd9b326ba86b88f6b03483f8abd98d73ac058006137130f3bbb1\",\"field_sha256\":\"524ab4e8cde30657f80943f4a08d19e249ef4a95265d3ab4bc5a1016eb1e3b69\",\"outcome\":\"21838fe24fedb22857aa498abeabbb8318d8fda1a1cb8174b9c306c9a2dfba1e\"},\"solution_seal\":\"3efbe0b69986a61f6e06265c320f45e194d9e8ae3d2e8f9e79ecfc8f08a495cc\",\"receipt_sha256\":\"3ea325afaaed05e2be24f89d133dbbde770ed0cdda2aad3e66e689abccaaaec7\"}", "outside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -31.0, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0], \"temperature_c\": [21.5, 20.9, 18.2, 16.1, 14.3, 11.8, 31.169000000000004, 9.0, 7.6, 6.1, 5.0, 4.2, 3.7], \"practical_salinity\": [35.6, 35.6, 35.7, 35.5, 35.3, 35.0, 34.8, 34.7, 34.55, 34.45, 34.42, 34.45, 34.5], \"height_above_bottom_m\": 12.0}}", "outside_answer": "Physical Violation: temperature 31.169000000000004 degC at level 6 is outside 0.5088..=31.169, the temperatures compared with measurement (TemperatureOutsideCompared).", "outside_answer_is_error": true}
{"id": "edge-db592ed38515", "model": "seawater_column", "solver": "seawater_column", "tool": "solve", "specimen": "Depth, density and sound speed at every level of one measured seawater cast (pressure, temperature, salinity), from the TEOS-10 Gibbs function and the weight of the water above, and the depth an echo sounder reads over it; no constant is fitted.", "base": "example_solve", "input": "parameters.temperature_c[12]", "input_unit": "degC", "whole_number_input": false, "base_value": 3.7, "edge_kind": "declared_limit", "direction": "down", "inside_value": 0.5088, "inside_value_hex": "3fe04816f0068db9", "outside_value": 0.5087999999999999, "outside_value_hex": "3fe04816f0068db8", "width": 1.1102230246251565e-16, "adjacent_64_bit_numbers": true, "stop_name": "TemperatureOutsideCompared", "stop_sentence": "Physical Violation: temperature 0.5087999999999999 degC at level 12 is outside 0.5088..=31.169, the temperatures compared with measurement (TemperatureOutsideCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 4, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "199e49950b98052dfd0d4fdfd21bb9d4114e6571eb28651fde73bb6f2a7d1d5a", "outside_proof": null, "inside_receipt": "e66ee00389391df3229bf02c035165522798c943f5190336ad87cf501dea4bbb", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:46:16Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -31.0, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0], \"temperature_c\": [21.5, 20.9, 18.2, 16.1, 14.3, 11.8, 10.2, 9.0, 7.6, 6.1, 5.0, 4.2, 0.5088], \"practical_salinity\": [35.6, 35.6, 35.7, 35.5, 35.3, 35.0, 34.8, 34.7, 34.55, 34.45, 34.42, 34.45, 34.5], \"height_above_bottom_m\": 12.0}}", "inside_answer": "{\"inputs\":{\"solver\":\"seawater_column\",\"parameters\":{\"latitude_deg\":-31.0,\"sea_pressure_dbar\":[0.0,50.0,100.0,150.0,200.0,300.0,400.0,500.0,600.0,700.0,800.0,900.0,1000.0],\"temperature_c\":[21.5,20.9,18.2,16.1,14.3,11.8,10.2,9.0,7.6,6.1,5.0,4.2,0.5088],\"practical_salinity\":[35.6,35.6,35.7,35.5,35.3,35.0,34.8,34.7,34.55,34.45,34.42,34.45,34.5],\"height_above_bottom_m\":12.0}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":4,\"result\":{\"seabed_depth_m\":1.0041468217343969e3,\"seabed_depth_m_hex\":\"408f612cb0df9c9d\",\"echo_one_way_time_s\":6.71584376035809e-1,\"echo_one_way_time_s_hex\":\"3fe57d9e847281f9\",\"echo_sounder_depth_m\":1.0073765640537135e3,\"echo_sounder_depth_m_hex\":\"408f7b033403bc64\",\"mean_sound_speed_m_per_s\":1.4951908614396586e3,\"mean_sound_speed_m_per_s_hex\":\"40975cc3712e659b\",\"depth_m\":[0.0e0,4.9805627766125696e1,9.957710069328644e1,1.4930980476059196e2,1.990166314631333e2,2.9837065298241237e2,3.9765873902576857e2,4.968879894150279e2,5.960598625479686e2,6.951735075733735e2,7.942279706099364e2,8.932240851538774e2,9.921468217343969e2],\"depth_m_hex\":[\"0000000000000000\",\"4048e71ecf862134\",\"4058e4ef37bf0a82\",\"4062a9e9ebac5c67\",\"4068e0883eb4c7c0\",\"4072a5ee31d25a04\",\"4078da8a31eec466\",\"407f0e3534638bd3\",\"4082a07a99372e3e\",\"4085b96357f049fb\",\"4088d1d2e2415102\",\"408be9caed283b61\",\"408f012cb0df9c9d\"],\"density_kg_per_m3\":[1.0248169189978144e3,1.0251993890713863e3,1.0262010433462706e3,1.0267751350136248e3,1.0272466902913372e3,1.0279734828746923e3,1.0285652794398477e3,1.0291466972246333e3,1.0297096331483363e3,1.0303101206335762e3,1.0308942720633788e3,1.0314788508047934e3,1.0323781565545266e3],\"density_kg_per_m3_hex\":[\"409003448669ec60\",\"409004cc2ca61323\",\"409008cdde4e953e\",\"40900b19bcfe3603\",\"40900cfc9c613623\",\"40900fe4d8b1d814\",\"40901242d89d0cfd\",\"4090149637cc18db\",\"409016d6aa12710c\",\"4090193d90436c19\",\"40901b93bc0e47c1\",\"40901dea57dd8901\",\"409021833b78c9d7\"],\"sound_speed_m_per_s\":[1.5262056319866172e3,1.5254260033671926e3,1.51881701083791e3,1.5131394932648652e3,1.5080618156580326e3,1.501013972983033e3,1.49678545843289e3,1.4939270602669783e3,1.4901060846132593e3,1.4857597052485494e3,1.4829221131215206e3,1.4812958589244379e3,1.4669075196831966e3],\"sound_speed_m_per_s_hex\":[\"4097d8d291310621\",\"4097d5b43a3a0850\",\"4097bb449e7d3534\",\"4097a48ed7528a6f\",\"4097903f4c9a9686\",\"4097740e4eef049e\",\"409763244f372685\",\"409757b54f49605f\",\"4097486ca171e23b\",\"40973709f02c347a\",\"40972bb03e6c1093\",\"4097252ef5a452c3\",\"4096eba14cd6ff39\"]},\"invariants\":{\"hydrostatic_residual\":4.656612873077392e-16,\"hydrostatic_residual_hex\":\"3cc0c6f7a0b5ed8d\",\"column_weight_residual_dbar\":0.0e0,\"column_weight_residual_dbar_hex\":\"0000000000000000\"},\"field_sha256\":\"66169326f8b5b81add3e6748ad91f1c93addcd362de46a0f3c80b60c6628ca04\",\"seal_parts\":{\"inputs\":\"1a476d03dc2999bf325bd54f7d08ed1bf9931c358351c1f93c8455b32054ec49\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"c645b3474e92f37bf5847b0a7724de0c62530711b603a505acf40bb53241ad92\",\"invariants\":\"b57746093d8429332af3c72b73f520d550929551e3d0980caa93dc8bbfdb5bd4\",\"field_sha256\":\"4741ffa8de3d195ebaa6988d13614b122976d698c1f1cbc765d57114925b4509\",\"outcome\":\"21838fe24fedb22857aa498abeabbb8318d8fda1a1cb8174b9c306c9a2dfba1e\"},\"solution_seal\":\"199e49950b98052dfd0d4fdfd21bb9d4114e6571eb28651fde73bb6f2a7d1d5a\",\"receipt_sha256\":\"e66ee00389391df3229bf02c035165522798c943f5190336ad87cf501dea4bbb\"}", "outside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -31.0, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0], \"temperature_c\": [21.5, 20.9, 18.2, 16.1, 14.3, 11.8, 10.2, 9.0, 7.6, 6.1, 5.0, 4.2, 0.5087999999999999], \"practical_salinity\": [35.6, 35.6, 35.7, 35.5, 35.3, 35.0, 34.8, 34.7, 34.55, 34.45, 34.42, 34.45, 34.5], \"height_above_bottom_m\": 12.0}}", "outside_answer": "Physical Violation: temperature 0.5087999999999999 degC at level 12 is outside 0.5088..=31.169, the temperatures compared with measurement (TemperatureOutsideCompared).", "outside_answer_is_error": true}
{"id": "edge-fdf253b89519", "model": "seawater_column", "solver": "seawater_column", "tool": "solve", "specimen": "Depth, density and sound speed at every level of one measured seawater cast (pressure, temperature, salinity), from the TEOS-10 Gibbs function and the weight of the water above, and the depth an echo sounder reads over it; no constant is fitted.", "base": "example_solve", "input": "parameters.temperature_c[12]", "input_unit": "degC", "whole_number_input": false, "base_value": 3.7, "edge_kind": "declared_limit", "direction": "up", "inside_value": 31.169, "inside_value_hex": "403f2b4395810625", "outside_value": 31.169000000000004, "outside_value_hex": "403f2b4395810626", "width": 3.552713678800501e-15, "adjacent_64_bit_numbers": true, "stop_name": "TemperatureOutsideCompared", "stop_sentence": "Physical Violation: temperature 31.169000000000004 degC at level 12 is outside 0.5088..=31.169, the temperatures compared with measurement (TemperatureOutsideCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 4, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "436b00d51eb80d1db7d51fb9dca108cf11f1aa851ff9a0c73e43540f3e553952", "outside_proof": null, "inside_receipt": "4dabba15f6dcf248533dd6eae26139db776a44422ea391f24ad798f5260bcb87", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:46:17Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -31.0, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0], \"temperature_c\": [21.5, 20.9, 18.2, 16.1, 14.3, 11.8, 10.2, 9.0, 7.6, 6.1, 5.0, 4.2, 31.169], \"practical_salinity\": [35.6, 35.6, 35.7, 35.5, 35.3, 35.0, 34.8, 34.7, 34.55, 34.45, 34.42, 34.45, 34.5], \"height_above_bottom_m\": 12.0}}", "inside_answer": "{\"inputs\":{\"solver\":\"seawater_column\",\"parameters\":{\"latitude_deg\":-31.0,\"sea_pressure_dbar\":[0.0,50.0,100.0,150.0,200.0,300.0,400.0,500.0,600.0,700.0,800.0,900.0,1000.0],\"temperature_c\":[21.5,20.9,18.2,16.1,14.3,11.8,10.2,9.0,7.6,6.1,5.0,4.2,31.169],\"practical_salinity\":[35.6,35.6,35.7,35.5,35.3,35.0,34.8,34.7,34.55,34.45,34.42,34.45,34.5],\"height_above_bottom_m\":12.0}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":4,\"result\":{\"seabed_depth_m\":1.0044943948624945e3,\"seabed_depth_m_hex\":\"408f63f4854b2dcb\",\"echo_one_way_time_s\":6.692161112760052e-1,\"echo_one_way_time_s_hex\":\"3fe56a37e7fc602b\",\"echo_sounder_depth_m\":1.0038241669140078e3,\"echo_sounder_depth_m_hex\":\"408f5e97e4d2b0df\",\"mean_sound_speed_m_per_s\":1.501001511973776e3,\"mean_sound_speed_m_per_s_hex\":\"409774018c5ad7ae\",\"depth_m\":[0.0e0,4.9805627766125696e1,9.957710069328644e1,1.4930980476059196e2,1.990166314631333e2,2.9837065298241237e2,3.9765873902576857e2,4.968879894150279e2,5.960598625479686e2,6.951735075733735e2,7.942279706099364e2,8.932240851538774e2,9.924943948624945e2],\"depth_m_hex\":[\"0000000000000000\",\"4048e71ecf862134\",\"4058e4ef37bf0a82\",\"4062a9e9ebac5c67\",\"4068e0883eb4c7c0\",\"4072a5ee31d25a04\",\"4078da8a31eec466\",\"407f0e3534638bd3\",\"4082a07a99372e3e\",\"4085b96357f049fb\",\"4088d1d2e2415102\",\"408be9caed283b61\",\"408f03f4854b2dcb\"],\"density_kg_per_m3\":[1.0248169189978144e3,1.0251993890713863e3,1.0262010433462706e3,1.0267751350136248e3,1.0272466902913372e3,1.0279734828746923e3,1.0285652794398477e3,1.0291466972246333e3,1.0297096331483363e3,1.0303101206335762e3,1.0308942720633788e3,1.0314788508047934e3,1.0251708916645882e3],\"density_kg_per_m3_hex\":[\"409003448669ec60\",\"409004cc2ca61323\",\"409008cdde4e953e\",\"40900b19bcfe3603\",\"40900cfc9c613623\",\"40900fe4d8b1d814\",\"40901242d89d0cfd\",\"4090149637cc18db\",\"409016d6aa12710c\",\"4090193d90436c19\",\"40901b93bc0e47c1\",\"40901dea57dd8901\",\"409004aefe397a43\"],\"sound_speed_m_per_s\":[1.5262056319866172e3,1.5254260033671926e3,1.51881701083791e3,1.5131394932648652e3,1.5080618156580326e3,1.501013972983033e3,1.49678545843289e3,1.4939270602669783e3,1.4901060846132593e3,1.4857597052485494e3,1.4829221131215206e3,1.4812958589244379e3,1.563827552504529e3],\"sound_speed_m_per_s_hex\":[\"4097d8d291310621\",\"4097d5b43a3a0850\",\"4097bb449e7d3534\",\"4097a48ed7528a6f\",\"4097903f4c9a9686\",\"4097740e4eef049e\",\"409763244f372685\",\"409757b54f49605f\",\"4097486ca171e23b\",\"40973709f02c347a\",\"40972bb03e6c1093\",\"4097252ef5a452c3\",\"40986f4f69ec7ab3\"]},\"invariants\":{\"hydrostatic_residual\":4.656612873077392e-16,\"hydrostatic_residual_hex\":\"3cc0c6f7a0b5ed8d\",\"column_weight_residual_dbar\":0.0e0,\"column_weight_residual_dbar_hex\":\"0000000000000000\"},\"field_sha256\":\"41e4aad5d468ee6d2393b638d8dfbedc4ae2eb2ffca8042cb380a4ba26cc41cb\",\"seal_parts\":{\"inputs\":\"07f1ec2d6a9c3f91b886ca0713e934c6265bac839be543e4ebb145dfeafdfe9a\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e55feacc182244c3ab47f4381a979caae22efe4f806dae4df0c65a99f13ef700\",\"invariants\":\"b57746093d8429332af3c72b73f520d550929551e3d0980caa93dc8bbfdb5bd4\",\"field_sha256\":\"ac940b46908c1b9961e1a934530edf5529fe9fca49b58099fb504f291e56c51c\",\"outcome\":\"21838fe24fedb22857aa498abeabbb8318d8fda1a1cb8174b9c306c9a2dfba1e\"},\"solution_seal\":\"436b00d51eb80d1db7d51fb9dca108cf11f1aa851ff9a0c73e43540f3e553952\",\"receipt_sha256\":\"4dabba15f6dcf248533dd6eae26139db776a44422ea391f24ad798f5260bcb87\"}", "outside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -31.0, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0], \"temperature_c\": [21.5, 20.9, 18.2, 16.1, 14.3, 11.8, 10.2, 9.0, 7.6, 6.1, 5.0, 4.2, 31.169000000000004], \"practical_salinity\": [35.6, 35.6, 35.7, 35.5, 35.3, 35.0, 34.8, 34.7, 34.55, 34.45, 34.42, 34.45, 34.5], \"height_above_bottom_m\": 12.0}}", "outside_answer": "Physical Violation: temperature 31.169000000000004 degC at level 12 is outside 0.5088..=31.169, the temperatures compared with measurement (TemperatureOutsideCompared).", "outside_answer_is_error": true}
{"id": "edge-f7ca15330718", "model": "seawater_column", "solver": "seawater_column", "tool": "solve", "specimen": "Depth, density and sound speed at every level of one measured seawater cast (pressure, temperature, salinity), from the TEOS-10 Gibbs function and the weight of the water above, and the depth an echo sounder reads over it; no constant is fitted.", "base": "example_solve", "input": "parameters.practical_salinity[0]", "input_unit": "PSS-78", "whole_number_input": false, "base_value": 35.6, "edge_kind": "declared_limit", "direction": "down", "inside_value": 30.9805, "inside_value_hex": "403efb020c49ba5e", "outside_value": 30.980499999999996, "outside_value_hex": "403efb020c49ba5d", "width": 3.552713678800501e-15, "adjacent_64_bit_numbers": true, "stop_name": "SalinityOutsideCompared", "stop_sentence": "Physical Violation: Practical Salinity 30.980499999999996 at level 0 is outside 30.9805..=40.0731, the salinities compared with measurement (SalinityOutsideCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 4, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "35d5abd4a1b0ae18679e42f4b56fb84942d794babf89c73c71b6ae923b75fb96", "outside_proof": null, "inside_receipt": "6f12150195bab4750befa689ba9adfc6299b6f68827590698a4ba157db08011f", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:46:19Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -31.0, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0], \"temperature_c\": [21.5, 20.9, 18.2, 16.1, 14.3, 11.8, 10.2, 9.0, 7.6, 6.1, 5.0, 4.2, 3.7], \"practical_salinity\": [30.9805, 35.6, 35.7, 35.5, 35.3, 35.0, 34.8, 34.7, 34.55, 34.45, 34.42, 34.45, 34.5], \"height_above_bottom_m\": 12.0}}", "inside_answer": "{\"inputs\":{\"solver\":\"seawater_column\",\"parameters\":{\"latitude_deg\":-31.0,\"sea_pressure_dbar\":[0.0,50.0,100.0,150.0,200.0,300.0,400.0,500.0,600.0,700.0,800.0,900.0,1000.0],\"temperature_c\":[21.5,20.9,18.2,16.1,14.3,11.8,10.2,9.0,7.6,6.1,5.0,4.2,3.7],\"practical_salinity\":[30.9805,35.6,35.7,35.5,35.3,35.0,34.8,34.7,34.55,34.45,34.42,34.45,34.5],\"height_above_bottom_m\":12.0}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":4,\"result\":{\"seabed_depth_m\":1.004248664508865e3,\"seabed_depth_m_hex\":\"408f61fd43d16a02\",\"echo_one_way_time_s\":6.713105846218399e-1,\"echo_one_way_time_s_hex\":\"3fe57b6055cd1a28\",\"echo_sounder_depth_m\":1.0069658769327599e3,\"echo_sounder_depth_m_hex\":\"408f77ba1daf7151\",\"mean_sound_speed_m_per_s\":1.4959523766105588e3,\"mean_sound_speed_m_per_s_hex\":\"40975fcf3bd06f4d\",\"depth_m\":[0.0e0,4.989120404502024e1,9.966267600961048e1,1.493953791151169e2,1.991022048563812e2,2.984562244543241e2,3.9774430857770545e2,4.969735570482137e2,5.961454282635988e2,6.952590713726598e2,7.943135324941089e2,8.933096451241498e2,9.92248664508865e2],\"depth_m_hex\":[\"0000000000000000\",\"4048f212f961b661\",\"4058ea6948a347bb\",\"4062aca6f21a1e5a\",\"4068e345431e74ca\",\"4072a74cb2036f52\",\"4078dbe8b01c7609\",\"407f0f93b08e2de4\",\"4082a129d64b2091\",\"4085ba129403073b\",\"4088d2821d530373\",\"408bea7a27390cb7\",\"408f01fd43d16a02\"],\"density_kg_per_m3\":[1.0213079211198642e3,1.0251993890713863e3,1.0262010433462706e3,1.0267751350136248e3,1.0272466902913372e3,1.0279734828746923e3,1.0285652794398477e3,1.0291466972246333e3,1.0297096331483363e3,1.0303101206335762e3,1.0308942720633788e3,1.0314788508047934e3,1.0320382151996305e3],\"density_kg_per_m3_hex\":[\"408fea769f591c84\",\"409004cc2ca61323\",\"409008cdde4e953e\",\"40900b19bcfe3603\",\"40900cfc9c613623\",\"40900fe4d8b1d814\",\"40901242d89d0cfd\",\"4090149637cc18db\",\"409016d6aa12710c\",\"4090193d90436c19\",\"40901b93bc0e47c1\",\"40901dea57dd8901\",\"4090202721e2a27e\"],\"sound_speed_m_per_s\":[1.5210771763421092e3,1.5254260033671926e3,1.51881701083791e3,1.5131394932648652e3,1.5080618156580326e3,1.501013972983033e3,1.49678545843289e3,1.4939270602669783e3,1.4901060846132593e3,1.4857597052485494e3,1.4829221131215206e3,1.4812958589244379e3,1.4809029822345929e3],\"sound_speed_m_per_s_hex\":[\"4097c44f0750a589\",\"4097d5b43a3a0850\",\"4097bb449e7d3534\",\"4097a48ed7528a6f\",\"4097903f4c9a9686\",\"4097740e4eef049e\",\"409763244f372685\",\"409757b54f49605f\",\"4097486ca171e23b\",\"40973709f02c347a\",\"40972bb03e6c1093\",\"4097252ef5a452c3\",\"4097239ca75ff9c8\"]},\"invariants\":{\"hydrostatic_residual\":4.656612873077392e-16,\"hydrostatic_residual_hex\":\"3cc0c6f7a0b5ed8d\",\"column_weight_residual_dbar\":-1.862645149230957e-13,\"column_weight_residual_dbar_hex\":\"bd4a36e2eb1c432d\"},\"field_sha256\":\"bac2daf3105e795e6484c5c039377d7d66abdff9fee2c01f4a718370d96e18a8\",\"seal_parts\":{\"inputs\":\"94aa56add50615eda0888be566383625b13117e056e81ee5e6f5befb2c31311e\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"c8583e1bb2a46c2dbd42b7ae448436acad86352741d6a4a5eff35771eb02cc5a\",\"invariants\":\"1448c8e43428a994c64d7205bc2d2ffcfb8f739f76d8e457900b95455c95ee52\",\"field_sha256\":\"db5459546d7bd127fd67043e34921e2f4687dd8b12a7587fc032dbc762232dfc\",\"outcome\":\"21838fe24fedb22857aa498abeabbb8318d8fda1a1cb8174b9c306c9a2dfba1e\"},\"solution_seal\":\"35d5abd4a1b0ae18679e42f4b56fb84942d794babf89c73c71b6ae923b75fb96\",\"receipt_sha256\":\"6f12150195bab4750befa689ba9adfc6299b6f68827590698a4ba157db08011f\"}", "outside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -31.0, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0], \"temperature_c\": [21.5, 20.9, 18.2, 16.1, 14.3, 11.8, 10.2, 9.0, 7.6, 6.1, 5.0, 4.2, 3.7], \"practical_salinity\": [30.980499999999996, 35.6, 35.7, 35.5, 35.3, 35.0, 34.8, 34.7, 34.55, 34.45, 34.42, 34.45, 34.5], \"height_above_bottom_m\": 12.0}}", "outside_answer": "Physical Violation: Practical Salinity 30.980499999999996 at level 0 is outside 30.9805..=40.0731, the salinities compared with measurement (SalinityOutsideCompared).", "outside_answer_is_error": true}
{"id": "edge-76d719d6e59e", "model": "seawater_column", "solver": "seawater_column", "tool": "solve", "specimen": "Depth, density and sound speed at every level of one measured seawater cast (pressure, temperature, salinity), from the TEOS-10 Gibbs function and the weight of the water above, and the depth an echo sounder reads over it; no constant is fitted.", "base": "example_solve", "input": "parameters.practical_salinity[0]", "input_unit": "PSS-78", "whole_number_input": false, "base_value": 35.6, "edge_kind": "declared_limit", "direction": "up", "inside_value": 40.0731, "inside_value_hex": "4044095b573eab36", "outside_value": 40.073100000000004, "outside_value_hex": "4044095b573eab37", "width": 7.105427357601002e-15, "adjacent_64_bit_numbers": true, "stop_name": "SalinityOutsideCompared", "stop_sentence": "Physical Violation: Practical Salinity 40.073100000000004 at level 0 is outside 30.9805..=40.0731, the salinities compared with measurement (SalinityOutsideCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 4, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "dc4e0756e4a4e38d96198deb3aa26242f4a9db89d619b54ddaa51a69e03ce185", "outside_proof": null, "inside_receipt": "add0d1312f7b66bd05ef662813748e3178ce9946b38415ce03ec3ca7f8666179", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:46:21Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -31.0, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0], \"temperature_c\": [21.5, 20.9, 18.2, 16.1, 14.3, 11.8, 10.2, 9.0, 7.6, 6.1, 5.0, 4.2, 3.7], \"practical_salinity\": [40.0731, 35.6, 35.7, 35.5, 35.3, 35.0, 34.8, 34.7, 34.55, 34.45, 34.42, 34.45, 34.5], \"height_above_bottom_m\": 12.0}}", "inside_answer": "{\"inputs\":{\"solver\":\"seawater_column\",\"parameters\":{\"latitude_deg\":-31.0,\"sea_pressure_dbar\":[0.0,50.0,100.0,150.0,200.0,300.0,400.0,500.0,600.0,700.0,800.0,900.0,1000.0],\"temperature_c\":[21.5,20.9,18.2,16.1,14.3,11.8,10.2,9.0,7.6,6.1,5.0,4.2,3.7],\"practical_salinity\":[40.0731,35.6,35.7,35.5,35.3,35.0,34.8,34.7,34.55,34.45,34.42,34.45,34.5],\"height_above_bottom_m\":12.0}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":4,\"result\":{\"seabed_depth_m\":1.004080662027747e3,\"seabed_depth_m_hex\":\"408f60a53222199f\",\"echo_one_way_time_s\":6.710922519045719e-1,\"echo_one_way_time_s_hex\":\"3fe579967550eea2\",\"echo_sounder_depth_m\":1.0066383778568578e3,\"echo_sounder_depth_m_hex\":\"408f751b65d98d8f\",\"mean_sound_speed_m_per_s\":1.4961887269271074e3,\"mean_sound_speed_m_per_s_hex\":\"409760c141a1af34\",\"depth_m\":[0.0e0,4.972316578434782e1,9.949463963904918e1,1.4922734463315197e2,1.9893417226198756e2,2.9828819563268144e2,3.9757628352614074e2,4.968055357643239e2,5.959774107450365e2,6.950910576170456e2,7.941455224990275e2,8.931416388872178e2,9.92080662027747e2],\"depth_m_hex\":[\"0000000000000000\",\"4048dc90b248ae17\",\"4058dfa82d044160\",\"4062a746684089e2\",\"4068dde4bd3a4224\",\"4072a49c73061378\",\"4078d93875131ff8\",\"407f0ce379783879\",\"40829fd1bcb98587\",\"4085b8ba7c6a7a1a\",\"4088d12a07b3313e\",\"408be9221391a38a\",\"408f00a53222199f\"],\"density_kg_per_m3\":[1.0282211049920618e3,1.0251993890713863e3,1.0262010433462706e3,1.0267751350136248e3,1.0272466902913372e3,1.0279734828746923e3,1.0285652794398477e3,1.0291466972246333e3,1.0297096331483363e3,1.0303101206335762e3,1.0308942720633788e3,1.0314788508047934e3,1.0320382151996305e3],\"density_kg_per_m3_hex\":[\"409010e26958d78d\",\"409004cc2ca61323\",\"409008cdde4e953e\",\"40900b19bcfe3603\",\"40900cfc9c613623\",\"40900fe4d8b1d814\",\"40901242d89d0cfd\",\"4090149637cc18db\",\"409016d6aa12710c\",\"4090193d90436c19\",\"40901b93bc0e47c1\",\"40901dea57dd8901\",\"4090202721e2a27e\"],\"sound_speed_m_per_s\":[1.5311986165657422e3,1.5254260033671926e3,1.51881701083791e3,1.5131394932648652e3,1.5080618156580326e3,1.501013972983033e3,1.49678545843289e3,1.4939270602669783e3,1.4901060846132593e3,1.4857597052485494e3,1.4829221131215206e3,1.4812958589244379e3,1.4809029822345929e3],\"sound_speed_m_per_s_hex\":[\"4097eccb6224193a\",\"4097d5b43a3a0850\",\"4097bb449e7d3534\",\"4097a48ed7528a6f\",\"4097903f4c9a9686\",\"4097740e4eef049e\",\"409763244f372685\",\"409757b54f49605f\",\"4097486ca171e23b\",\"40973709f02c347a\",\"40972bb03e6c1093\",\"4097252ef5a452c3\",\"4097239ca75ff9c8\"]},\"invariants\":{\"hydrostatic_residual\":4.656612873077392e-16,\"hydrostatic_residual_hex\":\"3cc0c6f7a0b5ed8d\",\"column_weight_residual_dbar\":0.0e0,\"column_weight_residual_dbar_hex\":\"0000000000000000\"},\"field_sha256\":\"abd410c0aeccaad7a726035a4ec60fb4860da52b548fc5cf5fd4fb4287fa14a7\",\"seal_parts\":{\"inputs\":\"4cd413fbfcf9a10f54459a3b440efba39ec916d39099beefba69508d1197943f\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e91a8da83d10b33112a559b36016d0be5ee1d6c811f7cbb8e48a25030292416f\",\"invariants\":\"b57746093d8429332af3c72b73f520d550929551e3d0980caa93dc8bbfdb5bd4\",\"field_sha256\":\"971fa98a9ff5235ef8c92552e58c43e71c4b44fe73cf852eaf14b8d47912d4d7\",\"outcome\":\"21838fe24fedb22857aa498abeabbb8318d8fda1a1cb8174b9c306c9a2dfba1e\"},\"solution_seal\":\"dc4e0756e4a4e38d96198deb3aa26242f4a9db89d619b54ddaa51a69e03ce185\",\"receipt_sha256\":\"add0d1312f7b66bd05ef662813748e3178ce9946b38415ce03ec3ca7f8666179\"}", "outside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -31.0, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0], \"temperature_c\": [21.5, 20.9, 18.2, 16.1, 14.3, 11.8, 10.2, 9.0, 7.6, 6.1, 5.0, 4.2, 3.7], \"practical_salinity\": [40.073100000000004, 35.6, 35.7, 35.5, 35.3, 35.0, 34.8, 34.7, 34.55, 34.45, 34.42, 34.45, 34.5], \"height_above_bottom_m\": 12.0}}", "outside_answer": "Physical Violation: Practical Salinity 40.073100000000004 at level 0 is outside 30.9805..=40.0731, the salinities compared with measurement (SalinityOutsideCompared).", "outside_answer_is_error": true}
{"id": "edge-57e7e5caf8eb", "model": "seawater_column", "solver": "seawater_column", "tool": "solve", "specimen": "Depth, density and sound speed at every level of one measured seawater cast (pressure, temperature, salinity), from the TEOS-10 Gibbs function and the weight of the water above, and the depth an echo sounder reads over it; no constant is fitted.", "base": "example_solve", "input": "parameters.practical_salinity[6]", "input_unit": "PSS-78", "whole_number_input": false, "base_value": 34.8, "edge_kind": "declared_limit", "direction": "down", "inside_value": 30.9805, "inside_value_hex": "403efb020c49ba5e", "outside_value": 30.980499999999996, "outside_value_hex": "403efb020c49ba5d", "width": 3.552713678800501e-15, "adjacent_64_bit_numbers": true, "stop_name": "SalinityOutsideCompared", "stop_sentence": "Physical Violation: Practical Salinity 30.980499999999996 at level 6 is outside 30.9805..=40.0731, the salinities compared with measurement (SalinityOutsideCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 4, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "0c476a7860cdbe1beedf8821e865ed4322e68dd339429b3072333296bd936610", "outside_proof": null, "inside_receipt": "1a058ee41f77fa117a2ddf4d54d8883cff6f26764a697b7ad14f4169e8bebbb3", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:46:23Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -31.0, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0], \"temperature_c\": [21.5, 20.9, 18.2, 16.1, 14.3, 11.8, 10.2, 9.0, 7.6, 6.1, 5.0, 4.2, 3.7], \"practical_salinity\": [35.6, 35.6, 35.7, 35.5, 35.3, 35.0, 30.9805, 34.7, 34.55, 34.45, 34.42, 34.45, 34.5], \"height_above_bottom_m\": 12.0}}", "inside_answer": "{\"inputs\":{\"solver\":\"seawater_column\",\"parameters\":{\"latitude_deg\":-31.0,\"sea_pressure_dbar\":[0.0,50.0,100.0,150.0,200.0,300.0,400.0,500.0,600.0,700.0,800.0,900.0,1000.0],\"temperature_c\":[21.5,20.9,18.2,16.1,14.3,11.8,10.2,9.0,7.6,6.1,5.0,4.2,3.7],\"practical_salinity\":[35.6,35.6,35.7,35.5,35.3,35.0,30.9805,34.7,34.55,34.45,34.42,34.45,34.5],\"height_above_bottom_m\":12.0}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":4,\"result\":{\"seabed_depth_m\":1.0044503235077254e3,\"seabed_depth_m_hex\":\"408f639a43361268\",\"echo_one_way_time_s\":6.715976953855117e-1,\"echo_one_way_time_s_hex\":\"3fe57dba7337fde5\",\"echo_sounder_depth_m\":1.0073965430782675e3,\"echo_sounder_depth_m_hex\":\"408f7b2c1ec704ea\",\"mean_sound_speed_m_per_s\":1.495613118402899e3,\"mean_sound_speed_m_per_s_hex\":\"40975e73d54f841c\",\"depth_m\":[0.0e0,4.9805627766125696e1,9.957710069328644e1,1.4930980476059196e2,1.990166314631333e2,2.9837065298241237e2,3.9780236684952814e2,4.9717523861666837e2,5.963471053124053e2,6.954607439046742e2,7.945152005122304e2,8.935113086312392e2,9.924503235077254e2],\"depth_m_hex\":[\"0000000000000000\",\"4048e71ecf862134\",\"4058e4ef37bf0a82\",\"4062a9e9ebac5c67\",\"4068e0883eb4c7c0\",\"4072a5ee31d25a04\",\"4078dcd67e9f21e3\",\"407f12cdc701f964\",\"4082a2c6df266864\",\"4085bbaf9a801342\",\"4088d41f2172374c\",\"408bec1728facaae\",\"408f039a43361268\"],\"density_kg_per_m3\":[1.0248169189978144e3,1.0251993890713863e3,1.0262010433462706e3,1.0267751350136248e3,1.0272466902913372e3,1.0279734828746923e3,1.025597182186447e3,1.0291466972246333e3,1.0297096331483363e3,1.0303101206335762e3,1.0308942720633788e3,1.0314788508047934e3,1.0320382151996305e3],\"density_kg_per_m3_hex\":[\"409003448669ec60\",\"409004cc2ca61323\",\"409008cdde4e953e\",\"40900b19bcfe3603\",\"40900cfc9c613623\",\"40900fe4d8b1d814\",\"4090066383ba222d\",\"4090149637cc18db\",\"409016d6aa12710c\",\"4090193d90436c19\",\"40901b93bc0e47c1\",\"40901dea57dd8901\",\"4090202721e2a27e\"],\"sound_speed_m_per_s\":[1.5262056319866172e3,1.5254260033671926e3,1.51881701083791e3,1.5131394932648652e3,1.5080618156580326e3,1.501013972983033e3,1.492146905065425e3,1.4939270602669783e3,1.4901060846132593e3,1.4857597052485494e3,1.4829221131215206e3,1.4812958589244379e3,1.4809029822345929e3],\"sound_speed_m_per_s_hex\":[\"4097d8d291310621\",\"4097d5b43a3a0850\",\"4097bb449e7d3534\",\"4097a48ed7528a6f\",\"4097903f4c9a9686\",\"4097740e4eef049e\",\"409750966e480e78\",\"409757b54f49605f\",\"4097486ca171e23b\",\"40973709f02c347a\",\"40972bb03e6c1093\",\"4097252ef5a452c3\",\"4097239ca75ff9c8\"]},\"invariants\":{\"hydrostatic_residual\":4.656612873077392e-16,\"hydrostatic_residual_hex\":\"3cc0c6f7a0b5ed8d\",\"column_weight_residual_dbar\":0.0e0,\"column_weight_residual_dbar_hex\":\"0000000000000000\"},\"field_sha256\":\"187e0a438134e0bec5557b1722942c7407878b62d7c5c2a4c9c6ead6845c59b1\",\"seal_parts\":{\"inputs\":\"4f860736b06fbc4672a87f940f1b8a4ebc19b67d6fdbd810a3494ebf41ddd0ab\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"1132a85288610cafc9d4e2c9c40451f955b7c7311cb9e30594acb267f9138f65\",\"invariants\":\"b57746093d8429332af3c72b73f520d550929551e3d0980caa93dc8bbfdb5bd4\",\"field_sha256\":\"0159bb628d45e222cb8305576efa2dd2fd8eeb5e0896dce6e8285131ee8d4e03\",\"outcome\":\"21838fe24fedb22857aa498abeabbb8318d8fda1a1cb8174b9c306c9a2dfba1e\"},\"solution_seal\":\"0c476a7860cdbe1beedf8821e865ed4322e68dd339429b3072333296bd936610\",\"receipt_sha256\":\"1a058ee41f77fa117a2ddf4d54d8883cff6f26764a697b7ad14f4169e8bebbb3\"}", "outside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -31.0, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0], \"temperature_c\": [21.5, 20.9, 18.2, 16.1, 14.3, 11.8, 10.2, 9.0, 7.6, 6.1, 5.0, 4.2, 3.7], \"practical_salinity\": [35.6, 35.6, 35.7, 35.5, 35.3, 35.0, 30.980499999999996, 34.7, 34.55, 34.45, 34.42, 34.45, 34.5], \"height_above_bottom_m\": 12.0}}", "outside_answer": "Physical Violation: Practical Salinity 30.980499999999996 at level 6 is outside 30.9805..=40.0731, the salinities compared with measurement (SalinityOutsideCompared).", "outside_answer_is_error": true}
{"id": "edge-78fa64b58c98", "model": "seawater_column", "solver": "seawater_column", "tool": "solve", "specimen": "Depth, density and sound speed at every level of one measured seawater cast (pressure, temperature, salinity), from the TEOS-10 Gibbs function and the weight of the water above, and the depth an echo sounder reads over it; no constant is fitted.", "base": "example_solve", "input": "parameters.practical_salinity[6]", "input_unit": "PSS-78", "whole_number_input": false, "base_value": 34.8, "edge_kind": "declared_limit", "direction": "up", "inside_value": 40.0731, "inside_value_hex": "4044095b573eab36", "outside_value": 40.073100000000004, "outside_value_hex": "4044095b573eab37", "width": 7.105427357601002e-15, "adjacent_64_bit_numbers": true, "stop_name": "SalinityOutsideCompared", "stop_sentence": "Physical Violation: Practical Salinity 40.073100000000004 at level 6 is outside 30.9805..=40.0731, the salinities compared with measurement (SalinityOutsideCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 4, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "b27233a7f540fa219f21b196017fae06efcd09d9dad8cba7019f41fd22d924a2", "outside_proof": null, "inside_receipt": "4a7894692c6d8c3cb7291fe62fcffedc492492dc2ce946c211ba368a571bf2fb", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:46:25Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -31.0, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0], \"temperature_c\": [21.5, 20.9, 18.2, 16.1, 14.3, 11.8, 10.2, 9.0, 7.6, 6.1, 5.0, 4.2, 3.7], \"practical_salinity\": [35.6, 35.6, 35.7, 35.5, 35.3, 35.0, 40.0731, 34.7, 34.55, 34.45, 34.42, 34.45, 34.5], \"height_above_bottom_m\": 12.0}}", "inside_answer": "{\"inputs\":{\"solver\":\"seawater_column\",\"parameters\":{\"latitude_deg\":-31.0,\"sea_pressure_dbar\":[0.0,50.0,100.0,150.0,200.0,300.0,400.0,500.0,600.0,700.0,800.0,900.0,1000.0],\"temperature_c\":[21.5,20.9,18.2,16.1,14.3,11.8,10.2,9.0,7.6,6.1,5.0,4.2,3.7],\"practical_salinity\":[35.6,35.6,35.7,35.5,35.3,35.0,40.0731,34.7,34.55,34.45,34.42,34.45,34.5],\"height_above_bottom_m\":12.0}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":4,\"result\":{\"seabed_depth_m\":1.0037687403194712e3,\"seabed_depth_m_hex\":\"408f5e26615319f7\",\"echo_one_way_time_s\":6.706529887445419e-1,\"echo_one_way_time_s_hex\":\"3fe575fd41b3eb39\",\"echo_sounder_depth_m\":1.0059794831168128e3,\"echo_sounder_depth_m_hex\":\"408f6fd5fb3e8d90\",\"mean_sound_speed_m_per_s\":1.4967035965925088e3,\"mean_sound_speed_m_per_s_hex\":\"409762d07ba0099c\",\"depth_m\":[0.0e0,4.9805627766125696e1,9.957710069328644e1,1.4930980476059196e2,1.990166314631333e2,2.9837065298241237e2,3.974615294735055e2,4.9649357914588893e2,5.956654611174954e2,6.947791149759806e2,7.938335868399543e2,8.928297102057113e2,9.917687403194712e2],\"depth_m_hex\":[\"0000000000000000\",\"4048e71ecf862134\",\"4058e4ef37bf0a82\",\"4062a9e9ebac5c67\",\"4068e0883eb4c7c0\",\"4072a5ee31d25a04\",\"4078d7626cbaad8a\",\"407f07e5b33f194a\",\"40829d52dd474338\",\"4085b63ba0a1ed49\",\"4088ceab2f93bfd6\",\"408be6a33f1ab580\",\"408efe26615319f7\"],\"density_kg_per_m3\":[1.0248169189978144e3,1.0251993890713863e3,1.0262010433462706e3,1.0267751350136248e3,1.0272466902913372e3,1.0279734828746923e3,1.0326687535213923e3,1.0291466972246333e3,1.0297096331483363e3,1.0303101206335762e3,1.0308942720633788e3,1.0314788508047934e3,1.0320382151996305e3],\"density_kg_per_m3_hex\":[\"409003448669ec60\",\"409004cc2ca61323\",\"409008cdde4e953e\",\"40900b19bcfe3603\",\"40900cfc9c613623\",\"40900fe4d8b1d814\",\"409022accdb91ddc\",\"4090149637cc18db\",\"409016d6aa12710c\",\"4090193d90436c19\",\"40901b93bc0e47c1\",\"40901dea57dd8901\",\"4090202721e2a27e\"],\"sound_speed_m_per_s\":[1.5262056319866172e3,1.5254260033671926e3,1.51881701083791e3,1.5131394932648652e3,1.5080618156580326e3,1.501013972983033e3,1.5032132200096742e3,1.4939270602669783e3,1.4901060846132593e3,1.4857597052485494e3,1.4829221131215206e3,1.4812958589244379e3,1.4809029822345929e3],\"sound_speed_m_per_s_hex\":[\"4097d8d291310621\",\"4097d5b43a3a0850\",\"4097bb449e7d3534\",\"4097a48ed7528a6f\",\"4097903f4c9a9686\",\"4097740e4eef049e\",\"40977cda5658a19d\",\"409757b54f49605f\",\"4097486ca171e23b\",\"40973709f02c347a\",\"40972bb03e6c1093\",\"4097252ef5a452c3\",\"4097239ca75ff9c8\"]},\"invariants\":{\"hydrostatic_residual\":4.656612873077392e-16,\"hydrostatic_residual_hex\":\"3cc0c6f7a0b5ed8d\",\"column_weight_residual_dbar\":0.0e0,\"column_weight_residual_dbar_hex\":\"0000000000000000\"},\"field_sha256\":\"fe2d6d5e4fb22f6b45f3e633db0cf22e03ea1347bf1211730cdf1312c3f6fa9b\",\"seal_parts\":{\"inputs\":\"f109baf1326847826d9531294d4cf1efa0a87bcabeda6e80bf10ebd6c114db03\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"3b943e709481106b83353f88bc48c28565bebc3e314bd4a9e9faef445e533585\",\"invariants\":\"b57746093d8429332af3c72b73f520d550929551e3d0980caa93dc8bbfdb5bd4\",\"field_sha256\":\"4668552b7289245bc8f6fe51e1bf76b9b92a97cd382a169fca43cccad521392f\",\"outcome\":\"21838fe24fedb22857aa498abeabbb8318d8fda1a1cb8174b9c306c9a2dfba1e\"},\"solution_seal\":\"b27233a7f540fa219f21b196017fae06efcd09d9dad8cba7019f41fd22d924a2\",\"receipt_sha256\":\"4a7894692c6d8c3cb7291fe62fcffedc492492dc2ce946c211ba368a571bf2fb\"}", "outside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -31.0, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0], \"temperature_c\": [21.5, 20.9, 18.2, 16.1, 14.3, 11.8, 10.2, 9.0, 7.6, 6.1, 5.0, 4.2, 3.7], \"practical_salinity\": [35.6, 35.6, 35.7, 35.5, 35.3, 35.0, 40.073100000000004, 34.7, 34.55, 34.45, 34.42, 34.45, 34.5], \"height_above_bottom_m\": 12.0}}", "outside_answer": "Physical Violation: Practical Salinity 40.073100000000004 at level 6 is outside 30.9805..=40.0731, the salinities compared with measurement (SalinityOutsideCompared).", "outside_answer_is_error": true}
{"id": "edge-7560200a5146", "model": "seawater_column", "solver": "seawater_column", "tool": "solve", "specimen": "Depth, density and sound speed at every level of one measured seawater cast (pressure, temperature, salinity), from the TEOS-10 Gibbs function and the weight of the water above, and the depth an echo sounder reads over it; no constant is fitted.", "base": "example_solve", "input": "parameters.practical_salinity[12]", "input_unit": "PSS-78", "whole_number_input": false, "base_value": 34.5, "edge_kind": "declared_limit", "direction": "down", "inside_value": 30.9805, "inside_value_hex": "403efb020c49ba5e", "outside_value": 30.980499999999996, "outside_value_hex": "403efb020c49ba5d", "width": 3.552713678800501e-15, "adjacent_64_bit_numbers": true, "stop_name": "SalinityOutsideCompared", "stop_sentence": "Physical Violation: Practical Salinity 30.980499999999996 at level 12 is outside 30.9805..=40.0731, the salinities compared with measurement (SalinityOutsideCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 4, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "671bb297a171398dcfdd48083e8079a6f9d6e1312d0cb5486b408a3d4c681811", "outside_proof": null, "inside_receipt": "3736e1a7c38fbbdd3e7b51c10fcdb39fb921c7449a1e730e0c78265dab108b6d", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:46:27Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -31.0, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0], \"temperature_c\": [21.5, 20.9, 18.2, 16.1, 14.3, 11.8, 10.2, 9.0, 7.6, 6.1, 5.0, 4.2, 3.7], \"practical_salinity\": [35.6, 35.6, 35.7, 35.5, 35.3, 35.0, 34.8, 34.7, 34.55, 34.45, 34.42, 34.45, 30.9805], \"height_above_bottom_m\": 12.0}}", "inside_answer": "{\"inputs\":{\"solver\":\"seawater_column\",\"parameters\":{\"latitude_deg\":-31.0,\"sea_pressure_dbar\":[0.0,50.0,100.0,150.0,200.0,300.0,400.0,500.0,600.0,700.0,800.0,900.0,1000.0],\"temperature_c\":[21.5,20.9,18.2,16.1,14.3,11.8,10.2,9.0,7.6,6.1,5.0,4.2,3.7],\"practical_salinity\":[35.6,35.6,35.7,35.5,35.3,35.0,34.8,34.7,34.55,34.45,34.42,34.45,30.9805],\"height_above_bottom_m\":12.0}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":4,\"result\":{\"seabed_depth_m\":1.0042963718387969e3,\"seabed_depth_m_hex\":\"408f625ef832d8b4\",\"echo_one_way_time_s\":6.714168650811713e-1,\"echo_one_way_time_s_hex\":\"3fe57c3f38b0350b\",\"echo_sounder_depth_m\":1.0071252976217569e3,\"echo_sounder_depth_m_hex\":\"408f79009c0a1db3\",\"mean_sound_speed_m_per_s\":1.4957866328207022e3,\"mean_sound_speed_m_per_s_hex\":\"40975f258312fb81\",\"depth_m\":[0.0e0,4.9805627766125696e1,9.957710069328644e1,1.4930980476059196e2,1.990166314631333e2,2.9837065298241237e2,3.9765873902576857e2,4.968879894150279e2,5.960598625479686e2,6.951735075733735e2,7.942279706099364e2,8.932240851538774e2,9.922963718387969e2],\"depth_m_hex\":[\"0000000000000000\",\"4048e71ecf862134\",\"4058e4ef37bf0a82\",\"4062a9e9ebac5c67\",\"4068e0883eb4c7c0\",\"4072a5ee31d25a04\",\"4078da8a31eec466\",\"407f0e3534638bd3\",\"4082a07a99372e3e\",\"4085b96357f049fb\",\"4088d1d2e2415102\",\"408be9caed283b61\",\"408f025ef832d8b4\"],\"density_kg_per_m3\":[1.0248169189978144e3,1.0251993890713863e3,1.0262010433462706e3,1.0267751350136248e3,1.0272466902913372e3,1.0279734828746923e3,1.0285652794398477e3,1.0291466972246333e3,1.0297096331483363e3,1.0303101206335762e3,1.0308942720633788e3,1.0314788508047934e3,1.0292647071164474e3],\"density_kg_per_m3_hex\":[\"409003448669ec60\",\"409004cc2ca61323\",\"409008cdde4e953e\",\"40900b19bcfe3603\",\"40900cfc9c613623\",\"40900fe4d8b1d814\",\"40901242d89d0cfd\",\"4090149637cc18db\",\"409016d6aa12710c\",\"4090193d90436c19\",\"40901b93bc0e47c1\",\"40901dea57dd8901\",\"4090150f0f61e0a4\"],\"sound_speed_m_per_s\":[1.5262056319866172e3,1.5254260033671926e3,1.51881701083791e3,1.5131394932648652e3,1.5080618156580326e3,1.501013972983033e3,1.49678545843289e3,1.4939270602669783e3,1.4901060846132593e3,1.4857597052485494e3,1.4829221131215206e3,1.4812958589244379e3,1.4763734773956185e3],\"sound_speed_m_per_s_hex\":[\"4097d8d291310621\",\"4097d5b43a3a0850\",\"4097bb449e7d3534\",\"4097a48ed7528a6f\",\"4097903f4c9a9686\",\"4097740e4eef049e\",\"409763244f372685\",\"409757b54f49605f\",\"4097486ca171e23b\",\"40973709f02c347a\",\"40972bb03e6c1093\",\"4097252ef5a452c3\",\"4097117e70dbbfe8\"]},\"invariants\":{\"hydrostatic_residual\":4.656612873077392e-16,\"hydrostatic_residual_hex\":\"3cc0c6f7a0b5ed8d\",\"column_weight_residual_dbar\":0.0e0,\"column_weight_residual_dbar_hex\":\"0000000000000000\"},\"field_sha256\":\"462eb73d4ce51ed481e9346686b2fdc5094d54639bda4a0a1221736efba41735\",\"seal_parts\":{\"inputs\":\"a1feb7194602ddd4afd40b1f4295429e07e1437708f69fc8a461f632434501ab\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"d85007d78ecc83e15a7b25e67cd67bbd2bf91ae45a0cd4f0e4bc3fcfd95c65ed\",\"invariants\":\"b57746093d8429332af3c72b73f520d550929551e3d0980caa93dc8bbfdb5bd4\",\"field_sha256\":\"efe14e0cbf855ba9dbf051991f7e78b8b1d4ec185d0012cac0c2f55c6b9d30dc\",\"outcome\":\"21838fe24fedb22857aa498abeabbb8318d8fda1a1cb8174b9c306c9a2dfba1e\"},\"solution_seal\":\"671bb297a171398dcfdd48083e8079a6f9d6e1312d0cb5486b408a3d4c681811\",\"receipt_sha256\":\"3736e1a7c38fbbdd3e7b51c10fcdb39fb921c7449a1e730e0c78265dab108b6d\"}", "outside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -31.0, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0], \"temperature_c\": [21.5, 20.9, 18.2, 16.1, 14.3, 11.8, 10.2, 9.0, 7.6, 6.1, 5.0, 4.2, 3.7], \"practical_salinity\": [35.6, 35.6, 35.7, 35.5, 35.3, 35.0, 34.8, 34.7, 34.55, 34.45, 34.42, 34.45, 30.980499999999996], \"height_above_bottom_m\": 12.0}}", "outside_answer": "Physical Violation: Practical Salinity 30.980499999999996 at level 12 is outside 30.9805..=40.0731, the salinities compared with measurement (SalinityOutsideCompared).", "outside_answer_is_error": true}
{"id": "edge-a4fd6be53f82", "model": "seawater_column", "solver": "seawater_column", "tool": "solve", "specimen": "Depth, density and sound speed at every level of one measured seawater cast (pressure, temperature, salinity), from the TEOS-10 Gibbs function and the weight of the water above, and the depth an echo sounder reads over it; no constant is fitted.", "base": "example_solve", "input": "parameters.practical_salinity[12]", "input_unit": "PSS-78", "whole_number_input": false, "base_value": 34.5, "edge_kind": "declared_limit", "direction": "up", "inside_value": 40.0731, "inside_value_hex": "4044095b573eab36", "outside_value": 40.073100000000004, "outside_value_hex": "4044095b573eab37", "width": 7.105427357601002e-15, "adjacent_64_bit_numbers": true, "stop_name": "SalinityOutsideCompared", "stop_sentence": "Physical Violation: Practical Salinity 40.073100000000004 at level 12 is outside 30.9805..=40.0731, the salinities compared with measurement (SalinityOutsideCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 4, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "612297829a0e35c90ec4ee64d00ea97c7779a168509d04301aa54a7ba9a4b357", "outside_proof": null, "inside_receipt": "628da107a8cb5ffabcdeefc3fc32bf8008da5e95e091fbbcf7d1c1b4561cae77", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:46:28Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -31.0, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0], \"temperature_c\": [21.5, 20.9, 18.2, 16.1, 14.3, 11.8, 10.2, 9.0, 7.6, 6.1, 5.0, 4.2, 3.7], \"practical_salinity\": [35.6, 35.6, 35.7, 35.5, 35.3, 35.0, 34.8, 34.7, 34.55, 34.45, 34.42, 34.45, 40.0731], \"height_above_bottom_m\": 12.0}}", "inside_answer": "{\"inputs\":{\"solver\":\"seawater_column\",\"parameters\":{\"latitude_deg\":-31.0,\"sea_pressure_dbar\":[0.0,50.0,100.0,150.0,200.0,300.0,400.0,500.0,600.0,700.0,800.0,900.0,1000.0],\"temperature_c\":[21.5,20.9,18.2,16.1,14.3,11.8,10.2,9.0,7.6,6.1,5.0,4.2,3.7],\"practical_salinity\":[35.6,35.6,35.7,35.5,35.3,35.0,34.8,34.7,34.55,34.45,34.42,34.45,40.0731],\"height_above_bottom_m\":12.0}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":4,\"result\":{\"seabed_depth_m\":1.0039533170522725e3,\"seabed_depth_m_hex\":\"408f5fa064b0d1d6\",\"echo_one_way_time_s\":6.708578703796985e-1,\"echo_one_way_time_s_hex\":\"3fe577aaecb170bd\",\"echo_sounder_depth_m\":1.0062868055695477e3,\"echo_sounder_depth_m_hex\":\"408f724b60b7ec25\",\"mean_sound_speed_m_per_s\":1.4965216350283638e3,\"mean_sound_speed_m_per_s_hex\":\"40976216277e2d15\",\"depth_m\":[0.0e0,4.9805627766125696e1,9.957710069328644e1,1.4930980476059196e2,1.990166314631333e2,2.9837065298241237e2,3.9765873902576857e2,4.968879894150279e2,5.960598625479686e2,6.951735075733735e2,7.942279706099364e2,8.932240851538774e2,9.919533170522725e2],\"depth_m_hex\":[\"0000000000000000\",\"4048e71ecf862134\",\"4058e4ef37bf0a82\",\"4062a9e9ebac5c67\",\"4068e0883eb4c7c0\",\"4072a5ee31d25a04\",\"4078da8a31eec466\",\"407f0e3534638bd3\",\"4082a07a99372e3e\",\"4085b96357f049fb\",\"4088d1d2e2415102\",\"408be9caed283b61\",\"408effa064b0d1d6\"],\"density_kg_per_m3\":[1.0248169189978144e3,1.0251993890713863e3,1.0262010433462706e3,1.0267751350136248e3,1.0272466902913372e3,1.0279734828746923e3,1.0285652794398477e3,1.0291466972246333e3,1.0297096331483363e3,1.0303101206335762e3,1.0308942720633788e3,1.0314788508047934e3,1.0364347496019927e3],\"density_kg_per_m3_hex\":[\"409003448669ec60\",\"409004cc2ca61323\",\"409008cdde4e953e\",\"40900b19bcfe3603\",\"40900cfc9c613623\",\"40900fe4d8b1d814\",\"40901242d89d0cfd\",\"4090149637cc18db\",\"409016d6aa12710c\",\"4090193d90436c19\",\"40901b93bc0e47c1\",\"40901dea57dd8901\",\"409031bd2effea08\"],\"sound_speed_m_per_s\":[1.5262056319866172e3,1.5254260033671926e3,1.51881701083791e3,1.5131394932648652e3,1.5080618156580326e3,1.501013972983033e3,1.49678545843289e3,1.4939270602669783e3,1.4901060846132593e3,1.4857597052485494e3,1.4829221131215206e3,1.4812958589244379e3,1.4880812974314442e3],\"sound_speed_m_per_s_hex\":[\"4097d8d291310621\",\"4097d5b43a3a0850\",\"4097bb449e7d3534\",\"4097a48ed7528a6f\",\"4097903f4c9a9686\",\"4097740e4eef049e\",\"409763244f372685\",\"409757b54f49605f\",\"4097486ca171e23b\",\"40973709f02c347a\",\"40972bb03e6c1093\",\"4097252ef5a452c3\",\"409740533fa24535\"]},\"invariants\":{\"hydrostatic_residual\":4.656612873077392e-16,\"hydrostatic_residual_hex\":\"3cc0c6f7a0b5ed8d\",\"column_weight_residual_dbar\":0.0e0,\"column_weight_residual_dbar_hex\":\"0000000000000000\"},\"field_sha256\":\"e5a91473dab9cfd692b80a9e06a0218e21c3f50e8bd2befb78399d8b93e491db\",\"seal_parts\":{\"inputs\":\"571bcf9e21c8b6db27b80cef7d1d8233b525c71a2c9d6b453f1e73bb877ea3bc\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"8572ab9b422c0320de755dd9f82a351fa6706e27ebc5d63db1fde8e28b7af73e\",\"invariants\":\"b57746093d8429332af3c72b73f520d550929551e3d0980caa93dc8bbfdb5bd4\",\"field_sha256\":\"9ff892cb8279708536502fea406ed4b9102a158c982544991805ce29cad9ff2f\",\"outcome\":\"21838fe24fedb22857aa498abeabbb8318d8fda1a1cb8174b9c306c9a2dfba1e\"},\"solution_seal\":\"612297829a0e35c90ec4ee64d00ea97c7779a168509d04301aa54a7ba9a4b357\",\"receipt_sha256\":\"628da107a8cb5ffabcdeefc3fc32bf8008da5e95e091fbbcf7d1c1b4561cae77\"}", "outside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -31.0, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0], \"temperature_c\": [21.5, 20.9, 18.2, 16.1, 14.3, 11.8, 10.2, 9.0, 7.6, 6.1, 5.0, 4.2, 3.7], \"practical_salinity\": [35.6, 35.6, 35.7, 35.5, 35.3, 35.0, 34.8, 34.7, 34.55, 34.45, 34.42, 34.45, 40.073100000000004], \"height_above_bottom_m\": 12.0}}", "outside_answer": "Physical Violation: Practical Salinity 40.073100000000004 at level 12 is outside 30.9805..=40.0731, the salinities compared with measurement (SalinityOutsideCompared).", "outside_answer_is_error": true}
{"id": "edge-bcb1a29370b8", "model": "seawater_column", "solver": "seawater_column", "tool": "solve", "specimen": "Depth, density and sound speed at every level of one measured seawater cast (pressure, temperature, salinity), from the TEOS-10 Gibbs function and the weight of the water above, and the depth an echo sounder reads over it; no constant is fitted.", "base": "example_solve", "input": "parameters.height_above_bottom_m", "input_unit": "m", "whole_number_input": false, "base_value": 12.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 86.0, "inside_value_hex": "4055800000000000", "outside_value": 86.00000000000001, "outside_value_hex": "4055800000000001", "width": 1.4210854715202004e-14, "adjacent_64_bit_numbers": true, "stop_name": "HeightAboveBottomOutsideCompared", "stop_sentence": "Physical Violation: height above bottom 86.00000000000001 m is above 86, the greatest height compared with measurement (HeightAboveBottomOutsideCompared).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 4, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "f9ca955b8585f7ca2192a6a927408bf81a01281a5f5449257a4930d77688b2bd", "outside_proof": null, "inside_receipt": "fba067de30a3d83032a534dd0f36b012938d35572ed2d65cf3745f0e9b257a23", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:46:30Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -31.0, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0], \"temperature_c\": [21.5, 20.9, 18.2, 16.1, 14.3, 11.8, 10.2, 9.0, 7.6, 6.1, 5.0, 4.2, 3.7], \"practical_salinity\": [35.6, 35.6, 35.7, 35.5, 35.3, 35.0, 34.8, 34.7, 34.55, 34.45, 34.42, 34.45, 34.5], \"height_above_bottom_m\": 86.0}}", "inside_answer": "{\"inputs\":{\"solver\":\"seawater_column\",\"parameters\":{\"latitude_deg\":-31.0,\"sea_pressure_dbar\":[0.0,50.0,100.0,150.0,200.0,300.0,400.0,500.0,600.0,700.0,800.0,900.0,1000.0],\"temperature_c\":[21.5,20.9,18.2,16.1,14.3,11.8,10.2,9.0,7.6,6.1,5.0,4.2,3.7],\"practical_salinity\":[35.6,35.6,35.7,35.5,35.3,35.0,34.8,34.7,34.55,34.45,34.42,34.45,34.5],\"height_above_bottom_m\":86.0}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":4,\"result\":{\"seabed_depth_m\":1.0781631064513033e3,\"seabed_depth_m_hex\":\"4090d8a70560a875\",\"echo_one_way_time_s\":7.211689154558064e-1,\"echo_one_way_time_s_hex\":\"3fe713d0d558c885\",\"echo_sounder_depth_m\":1.0817533731837095e3,\"echo_sounder_depth_m_hex\":\"4090e703744286dd\",\"mean_sound_speed_m_per_s\":1.4950216008268505e3,\"mean_sound_speed_m_per_s_hex\":\"40975c161e86f38f\",\"depth_m\":[0.0e0,4.9805627766125696e1,9.957710069328644e1,1.4930980476059196e2,1.990166314631333e2,2.9837065298241237e2,3.9765873902576857e2,4.968879894150279e2,5.960598625479686e2,6.951735075733735e2,7.942279706099364e2,8.932240851538774e2,9.921631064513033e2],\"depth_m_hex\":[\"0000000000000000\",\"4048e71ecf862134\",\"4058e4ef37bf0a82\",\"4062a9e9ebac5c67\",\"4068e0883eb4c7c0\",\"4072a5ee31d25a04\",\"4078da8a31eec466\",\"407f0e3534638bd3\",\"4082a07a99372e3e\",\"4085b96357f049fb\",\"4088d1d2e2415102\",\"408be9caed283b61\",\"408f014e0ac150ea\"],\"density_kg_per_m3\":[1.0248169189978144e3,1.0251993890713863e3,1.0262010433462706e3,1.0267751350136248e3,1.0272466902913372e3,1.0279734828746923e3,1.0285652794398477e3,1.0291466972246333e3,1.0297096331483363e3,1.0303101206335762e3,1.0308942720633788e3,1.0314788508047934e3,1.0320382151996305e3],\"density_kg_per_m3_hex\":[\"409003448669ec60\",\"409004cc2ca61323\",\"409008cdde4e953e\",\"40900b19bcfe3603\",\"40900cfc9c613623\",\"40900fe4d8b1d814\",\"40901242d89d0cfd\",\"4090149637cc18db\",\"409016d6aa12710c\",\"4090193d90436c19\",\"40901b93bc0e47c1\",\"40901dea57dd8901\",\"4090202721e2a27e\"],\"sound_speed_m_per_s\":[1.5262056319866172e3,1.5254260033671926e3,1.51881701083791e3,1.5131394932648652e3,1.5080618156580326e3,1.501013972983033e3,1.49678545843289e3,1.4939270602669783e3,1.4901060846132593e3,1.4857597052485494e3,1.4829221131215206e3,1.4812958589244379e3,1.4809029822345929e3],\"sound_speed_m_per_s_hex\":[\"4097d8d291310621\",\"4097d5b43a3a0850\",\"4097bb449e7d3534\",\"4097a48ed7528a6f\",\"4097903f4c9a9686\",\"4097740e4eef049e\",\"409763244f372685\",\"409757b54f49605f\",\"4097486ca171e23b\",\"40973709f02c347a\",\"40972bb03e6c1093\",\"4097252ef5a452c3\",\"4097239ca75ff9c8\"]},\"invariants\":{\"hydrostatic_residual\":5.820766091346741e-16,\"hydrostatic_residual_hex\":\"3cc4f8b588e368f1\",\"column_weight_residual_dbar\":0.0e0,\"column_weight_residual_dbar_hex\":\"0000000000000000\"},\"field_sha256\":\"8fec3250b9fcb403c9d955107d39e237b134d054b7bd0e85e8ea7b195d6e40ce\",\"seal_parts\":{\"inputs\":\"87335a86687e040e28347a31de186710954aabb1a540dd1cbb27d670bc69a9bd\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"f3debd54bbdec260e62b0cc4fa9c4a90a9996893b2fe2e4759809a6c5a06d0b0\",\"invariants\":\"69269282056c37b89fccaf444ac640c6fb72a948a2a31fddede24958f5d60fd5\",\"field_sha256\":\"3ae6d522a32ea224ca28c47a94d3da16c6ab42c0d8ed0ac641d9b2609bfdd21b\",\"outcome\":\"21838fe24fedb22857aa498abeabbb8318d8fda1a1cb8174b9c306c9a2dfba1e\"},\"solution_seal\":\"f9ca955b8585f7ca2192a6a927408bf81a01281a5f5449257a4930d77688b2bd\",\"receipt_sha256\":\"fba067de30a3d83032a534dd0f36b012938d35572ed2d65cf3745f0e9b257a23\"}", "outside_request": "{\"solver\": \"seawater_column\", \"parameters\": {\"latitude_deg\": -31.0, \"sea_pressure_dbar\": [0.0, 50.0, 100.0, 150.0, 200.0, 300.0, 400.0, 500.0, 600.0, 700.0, 800.0, 900.0, 1000.0], \"temperature_c\": [21.5, 20.9, 18.2, 16.1, 14.3, 11.8, 10.2, 9.0, 7.6, 6.1, 5.0, 4.2, 3.7], \"practical_salinity\": [35.6, 35.6, 35.7, 35.5, 35.3, 35.0, 34.8, 34.7, 34.55, 34.45, 34.42, 34.45, 34.5], \"height_above_bottom_m\": 86.00000000000001}}", "outside_answer": "Physical Violation: height above bottom 86.00000000000001 m is above 86, the greatest height compared with measurement (HeightAboveBottomOutsideCompared).", "outside_answer_is_error": true}
{"id": "edge-91521c2f26ac", "model": "step_flow_armaly", "solver": "step_flow_armaly", "tool": "solve", "specimen": "Steady laminar air flow over the backward-facing step of the rig of Armaly and others (1983; step 4.9 mm, channel 5.2 mm opening to 10.1 mm), two-dimensional Navier-Stokes with nothing fitted: reattachment length and the velocity profile at one station, Reynolds number 100 to 389; compared with measured velocity profiles at 100 and at 389 only, second-hand and digitised, all three lines met at 389 and confirmed by a second scoring, and at 100 also first-hand from Armaly's Figure 15 out to 30.31 step heights; stations out to 30 step heights at 100, out to 13.57 above 100; the reattachment length at 100 is 14 percent below the sentence of NASA Technical Memorandum 106248 that quotes the measurement, a miss of that sentence, and 6 percent below Armaly's own plot as read first-hand afterwards, inside the mark; at 389 it is 6 to 7 percent below that plot.", "base": "example_solve", "input": "parameters.reynolds_number", "input_unit": "1", "whole_number_input": false, "base_value": 100.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 100.0, "inside_value_hex": "4059000000000000", "outside_value": 99.99999999999999, "outside_value_hex": "4058ffffffffffff", "width": 1.4210854715202004e-14, "adjacent_64_bit_numbers": true, "stop_name": "ReynoldsOutOfRange", "stop_sentence": "Physical Violation: 'reynolds_number' 99.99999999999999 is outside 100 to 389 (ReynoldsOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 6, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "61708f94b8bffa4bc06b2f910daeb19d3df30abfd0ee1681020c551ce6ff1cb0", "outside_proof": null, "inside_receipt": "f0132553ceffc16e50b40728e676344b2b73ee1c053e25a60416eda7bffcd343", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:46:32Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"step_flow_armaly\", \"parameters\": {\"reynolds_number\": 100.0, \"station_x_over_s\": 3.06}}", "inside_answer": "{\"inputs\":{\"solver\":\"step_flow_armaly\",\"parameters\":{\"reynolds_number\":100.0,\"station_x_over_s\":3.06}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":6,\"result\":{\"reattachment_x_over_s\":2.8349935962908783e0,\"reattachment_x_over_s_hex\":\"4006ae111f63828f\",\"reattachment_mm\":1.3891468621825304e1,\"reattachment_mm_hex\":\"402bc86e93404cbc\",\"floor_shear_sign_changes_x_over_s\":[2.8349935962908783e0],\"floor_shear_sign_changes_x_over_s_hex\":[\"4006ae111f63828f\"],\"upper_wall_shear_sign_changes_x_over_s\":[],\"upper_wall_shear_sign_changes_x_over_s_hex\":[],\"profile_y_over_h\":[0.0e0,2.0214521452145213e-2,4.0429042904290426e-2,6.064356435643564e-2,8.085808580858085e-2,1.0107260726072607e-1,1.2128712871287128e-1,1.415016501650165e-1,1.617161716171617e-1,1.8193069306930693e-1,2.0214521452145215e-1,2.2235973597359734e-1,2.4257425742574257e-1,2.6278877887788776e-1,2.83003300330033e-1,3.032178217821782e-1,3.234323432343234e-1,3.4364686468646866e-1,3.6386138613861385e-1,3.840759075907591e-1,4.042904290429043e-1,4.245049504950495e-1,4.447194719471947e-1,4.649339933993399e-1,4.8514851485148514e-1,5.04950495049505e-1,5.247524752475248e-1,5.445544554455445e-1,5.643564356435643e-1,5.841584158415841e-1,6.039603960396039e-1,6.237623762376238e-1,6.435643564356435e-1,6.633663366336633e-1,6.831683168316831e-1,7.029702970297029e-1,7.227722772277227e-1,7.425742574257425e-1,7.623762376237624e-1,7.821782178217821e-1,8.01980198019802e-1,8.217821782178217e-1,8.415841584158414e-1,8.613861386138614e-1,8.811881188118811e-1,9.00990099009901e-1,9.207920792079207e-1,9.405940594059404e-1,9.603960396039604e-1,9.801980198019801e-1,1.0e0],\"profile_y_over_h_hex\":[\"0000000000000000\",\"3f94b31d922a3e85\",\"3fa4b31d922a3e85\",\"3faf0cac5b3f5dc8\",\"3fb4b31d922a3e85\",\"3fb9dfe4f6b4ce27\",\"3fbf0cac5b3f5dc8\",\"3fc21cb9dfe4f6b5\",\"3fc4b31d922a3e85\",\"3fc74981446f8656\",\"3fc9dfe4f6b4ce27\",\"3fcc7648a8fa15f7\",\"3fcf0cac5b3f5dc8\",\"3fd0d18806c252cc\",\"3fd21cb9dfe4f6b5\",\"3fd367ebb9079a9d\",\"3fd4b31d922a3e85\",\"3fd5fe4f6b4ce26e\",\"3fd74981446f8656\",\"3fd894b31d922a3f\",\"3fd9dfe4f6b4ce27\",\"3fdb2b16cfd7720f\",\"3fdc7648a8fa15f7\",\"3fddc17a821cb9df\",\"3fdf0cac5b3f5dc8\",\"3fe0288df0cac5b4\",\"3fe0cac5b3f5dc84\",\"3fe16cfd7720f353\",\"3fe20f353a4c0a23\",\"3fe2b16cfd7720f3\",\"3fe353a4c0a237c3\",\"3fe3f5dc83cd4e93\",\"3fe4981446f86562\",\"3fe53a4c0a237c32\",\"3fe5dc83cd4e9302\",\"3fe67ebb9079a9d2\",\"3fe720f353a4c0a2\",\"3fe7c32b16cfd771\",\"3fe86562d9faee42\",\"3fe9079a9d260511\",\"3fe9a9d260511be2\",\"3fea4c0a237c32b1\",\"3feaee41e6a74980\",\"3feb9079a9d26051\",\"3fec32b16cfd7720\",\"3fecd4e930288df1\",\"3fed7720f353a4c0\",\"3fee1958b67ebb8f\",\"3feebb9079a9d260\",\"3fef5dc83cd4e92f\",\"3ff0000000000000\"],\"profile_u_over_umax\":[0.0e0,8.597022549785685e-3,1.9369095397068947e-2,3.237545140989872e-2,4.7679155471415574e-2,6.533480407339681e-2,8.537560196717407e-2,1.0780087073586819e-1,1.3256511332487117e-1,1.595696254565207e-1,1.886573323587782e-1,2.1961110320845462e-1,2.5215535034109116e-1,2.8596035346608e-1,3.2064853577219365e-1,3.558018913732213e-1,3.909699056382272e-1,4.256775643937685e-1,4.5943333562442035e-1,4.917372498634301e-1,5.22089345338731e-1,5.499987557806348e-1,5.749936112344607e-1,5.966317309098049e-1,6.145118624543098e-1,6.280481499966127e-1,6.373739334779518e-1,6.422866042766446e-1,6.426575252106269e-1,6.384370931956614e-1,6.296573738689355e-1,6.16432092960049e-1,5.98953915648292e-1,5.774890843898255e-1,5.52369612500627e-1,5.239833440156606e-1,4.927622899961421e-1,4.5916973605438666e-1,4.236866813416182e-1,3.867982094749169e-1,3.4898040047256074e-1,3.1068836523843957e-1,2.7234591961569404e-1,2.3433731694895218e-1,1.97001333763825e-1,1.606278625339809e-1,1.2545701954626926e-1,9.168063515132757e-2,5.944586725641925e-2,2.8860573725577564e-2,0.0e0],\"profile_u_over_umax_hex\":[\"0000000000000000\",\"3f819b50d58def48\",\"3f93d57dfd2251d3\",\"3fa09383e1ff5c6f\",\"3fa86966fae6b8e4\",\"3fb0b9c81ec92aa4\",\"3fb5db2cea53488f\",\"3fbb98d67e4a76f0\",\"3fc0f7e4c52911cb\",\"3fc46cc70962a722\",\"3fc825ec6850d6cb\",\"3fcc1c37750f349e\",\"3fd0235031ce7d7c\",\"3fd24d2ca785b8f5\",\"3fd485816fa9b80a\",\"3fd6c5754bd36335\",\"3fd905a6a39bedd8\",\"3fdb3e4d1c6d9431\",\"3fdd675b13ccbdae\",\"3fdf789f8398dbc1\",\"3fe0b4f4b6fa3c9e\",\"3fe19996fd9d647f\",\"3fe266590075267a\",\"3fe3179b6d806e77\",\"3fe3aa14c807d996\",\"3fe418f86f118f65\",\"3fe4655e04f38ab6\",\"3fe48d9ca300dddc\",\"3fe490a683a9daa1\",\"3fe46e13a07a8477\",\"3fe42627388e796e\",\"3fe3b9cfcbeefbd7\",\"3fe32aa166f0a867\",\"3fe27aca63680a86\",\"3fe1ad03099fd202\",\"3fe0c478b7c64577\",\"3fdf896ad80f1267\",\"3fdd630975eaa8a3\",\"3fdb1daebe073bc7\",\"3fd8c14d46f626eb\",\"3fd655b1e3be605c\",\"3fd3e25173fc9864\",\"3fd16e1d947cb36b\",\"3fcdfec3e44399f7\",\"3fc93756f6e45a68\",\"3fc48f742c34755d\",\"3fc00ef9c2009f3a\",\"3fb77861d1a6c614\",\"3fae6fb04f7f52b7\",\"3f9d8da0512e3c76\",\"0000000000000000\"]},\"invariants\":{\"largest_imbalance\":1.66644475996236e-13,\"largest_imbalance_hex\":\"3d47740000000000\",\"outlet_departure\":4.1164231585155697e-4,\"outlet_departure_hex\":\"3f3afa3648c37000\"},\"field_sha256\":\"0f90971d5ab1dbe4a0aa59b0e6773b3fd6e0fb6d6204f3429ec4226eac9a52ec\",\"seal_parts\":{\"inputs\":\"5b12ccc2080866d538582ca0b7c9d9877542e5acdfb9f5326e5b7eae196fa594\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"03dcddc86ca0a84bc7e0b34ead39767e7f8bc525a0b9bf267fddebdacdc724c7\",\"invariants\":\"355f4336535969ed1e4e95996bedea87cd945b219d22814bf4db8018a25d081d\",\"field_sha256\":\"800fc5ec8885e8876c1f2beb1fad032a8031d49794d103d824f58a966534c72c\",\"outcome\":\"4986455bf6c121e2f1c6670507391ef741e1fe84af5b9c50f8006449f5e28474\"},\"solution_seal\":\"61708f94b8bffa4bc06b2f910daeb19d3df30abfd0ee1681020c551ce6ff1cb0\",\"receipt_sha256\":\"f0132553ceffc16e50b40728e676344b2b73ee1c053e25a60416eda7bffcd343\"}", "outside_request": "{\"solver\": \"step_flow_armaly\", \"parameters\": {\"reynolds_number\": 99.99999999999999, \"station_x_over_s\": 3.06}}", "outside_answer": "Physical Violation: 'reynolds_number' 99.99999999999999 is outside 100 to 389 (ReynoldsOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-6c829889bc04", "model": "step_flow_armaly", "solver": "step_flow_armaly", "tool": "solve", "specimen": "Steady laminar air flow over the backward-facing step of the rig of Armaly and others (1983; step 4.9 mm, channel 5.2 mm opening to 10.1 mm), two-dimensional Navier-Stokes with nothing fitted: reattachment length and the velocity profile at one station, Reynolds number 100 to 389; compared with measured velocity profiles at 100 and at 389 only, second-hand and digitised, all three lines met at 389 and confirmed by a second scoring, and at 100 also first-hand from Armaly's Figure 15 out to 30.31 step heights; stations out to 30 step heights at 100, out to 13.57 above 100; the reattachment length at 100 is 14 percent below the sentence of NASA Technical Memorandum 106248 that quotes the measurement, a miss of that sentence, and 6 percent below Armaly's own plot as read first-hand afterwards, inside the mark; at 389 it is 6 to 7 percent below that plot.", "base": "example_solve", "input": "parameters.reynolds_number", "input_unit": "1", "whole_number_input": false, "base_value": 100.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 389.0, "inside_value_hex": "4078500000000000", "outside_value": 389.00000000000006, "outside_value_hex": "4078500000000001", "width": 5.684341886080802e-14, "adjacent_64_bit_numbers": true, "stop_name": "ReynoldsOutOfRange", "stop_sentence": "Physical Violation: 'reynolds_number' 389.00000000000006 is outside 100 to 389 (ReynoldsOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 15, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "59a794138a026d9c8188b36d6617e3792f8cc21aed1c8c5421f29d7b542f2294", "outside_proof": null, "inside_receipt": "10bbb702fdb456f1aecfcaad4cc740baed9d58a54408dd60d7e9091838a28661", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:46:37Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"step_flow_armaly\", \"parameters\": {\"reynolds_number\": 389.0, \"station_x_over_s\": 3.06}}", "inside_answer": "{\"inputs\":{\"solver\":\"step_flow_armaly\",\"parameters\":{\"reynolds_number\":389.0,\"station_x_over_s\":3.06}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":15,\"result\":{\"reattachment_x_over_s\":8.070951412947842e0,\"reattachment_x_over_s_hex\":\"40202453be5c6e94\",\"reattachment_mm\":3.954766192344443e1,\"reattachment_mm_hex\":\"4043c619c9313aa9\",\"floor_shear_sign_changes_x_over_s\":[1.1791886374173034e-1,8.070951412947842e0],\"floor_shear_sign_changes_x_over_s_hex\":[\"3fbe2fee3f5a2a91\",\"40202453be5c6e94\"],\"upper_wall_shear_sign_changes_x_over_s\":[],\"upper_wall_shear_sign_changes_x_over_s_hex\":[],\"profile_y_over_h\":[0.0e0,2.0214521452145213e-2,4.0429042904290426e-2,6.064356435643564e-2,8.085808580858085e-2,1.0107260726072607e-1,1.2128712871287128e-1,1.415016501650165e-1,1.617161716171617e-1,1.8193069306930693e-1,2.0214521452145215e-1,2.2235973597359734e-1,2.4257425742574257e-1,2.6278877887788776e-1,2.83003300330033e-1,3.032178217821782e-1,3.234323432343234e-1,3.4364686468646866e-1,3.6386138613861385e-1,3.840759075907591e-1,4.042904290429043e-1,4.245049504950495e-1,4.447194719471947e-1,4.649339933993399e-1,4.8514851485148514e-1,5.04950495049505e-1,5.247524752475248e-1,5.445544554455445e-1,5.643564356435643e-1,5.841584158415841e-1,6.039603960396039e-1,6.237623762376238e-1,6.435643564356435e-1,6.633663366336633e-1,6.831683168316831e-1,7.029702970297029e-1,7.227722772277227e-1,7.425742574257425e-1,7.623762376237624e-1,7.821782178217821e-1,8.01980198019802e-1,8.217821782178217e-1,8.415841584158414e-1,8.613861386138614e-1,8.811881188118811e-1,9.00990099009901e-1,9.207920792079207e-1,9.405940594059404e-1,9.603960396039604e-1,9.801980198019801e-1,1.0e0],\"profile_y_over_h_hex\":[\"0000000000000000\",\"3f94b31d922a3e85\",\"3fa4b31d922a3e85\",\"3faf0cac5b3f5dc8\",\"3fb4b31d922a3e85\",\"3fb9dfe4f6b4ce27\",\"3fbf0cac5b3f5dc8\",\"3fc21cb9dfe4f6b5\",\"3fc4b31d922a3e85\",\"3fc74981446f8656\",\"3fc9dfe4f6b4ce27\",\"3fcc7648a8fa15f7\",\"3fcf0cac5b3f5dc8\",\"3fd0d18806c252cc\",\"3fd21cb9dfe4f6b5\",\"3fd367ebb9079a9d\",\"3fd4b31d922a3e85\",\"3fd5fe4f6b4ce26e\",\"3fd74981446f8656\",\"3fd894b31d922a3f\",\"3fd9dfe4f6b4ce27\",\"3fdb2b16cfd7720f\",\"3fdc7648a8fa15f7\",\"3fddc17a821cb9df\",\"3fdf0cac5b3f5dc8\",\"3fe0288df0cac5b4\",\"3fe0cac5b3f5dc84\",\"3fe16cfd7720f353\",\"3fe20f353a4c0a23\",\"3fe2b16cfd7720f3\",\"3fe353a4c0a237c3\",\"3fe3f5dc83cd4e93\",\"3fe4981446f86562\",\"3fe53a4c0a237c32\",\"3fe5dc83cd4e9302\",\"3fe67ebb9079a9d2\",\"3fe720f353a4c0a2\",\"3fe7c32b16cfd771\",\"3fe86562d9faee42\",\"3fe9079a9d260511\",\"3fe9a9d260511be2\",\"3fea4c0a237c32b1\",\"3feaee41e6a74980\",\"3feb9079a9d26051\",\"3fec32b16cfd7720\",\"3fecd4e930288df1\",\"3fed7720f353a4c0\",\"3fee1958b67ebb8f\",\"3feebb9079a9d260\",\"3fef5dc83cd4e92f\",\"3ff0000000000000\"],\"profile_u_over_umax\":[0.0e0,-2.6705695787777595e-2,-4.963728798483114e-2,-6.869464872538301e-2,-8.375340577953683e-2,-9.46950195604138e-2,-1.0142820524387432e-1,-1.039017015167231e-1,-1.0210881013985235e-1,-9.608455628550172e-2,-8.589670941334049e-2,-7.16322224082862e-2,-5.338088174443871e-2,-3.1218138730356775e-2,-5.18926869182595e-3,2.4702751102344545e-2,5.850290389025265e-2,9.630018241631925e-2,1.3821057990210536e-1,1.843437813745425e-1,2.3475155734702272e-1,2.893587404978736e-1,3.478825163014314e-1,4.097521765209564e-1,4.7404782127983913e-1,5.381475986202244e-1,6.018161892821839e-1,6.633190984475803e-1,7.208468973251451e-1,7.726707546439356e-1,8.172791244413702e-1,8.534650295480906e-1,8.803516169938361e-1,8.973653339504473e-1,9.041805394498186e-1,9.006615258739591e-1,8.868204665015043e-1,8.627993173494173e-1,8.28875233184845e-1,7.854838727369684e-1,7.332519120723636e-1,6.730280157075363e-1,6.059005840799723e-1,5.331918699970534e-1,4.564221915782866e-1,3.7724411729064566e-1,2.9735240502456667e-1,2.1837879622048958e-1,1.4178056084743393e-1,6.872890303069443e-2,0.0e0],\"profile_u_over_umax_hex\":[\"0000000000000000\",\"bf9b58bce81a0a40\",\"bfa96a0f011d2cf1\",\"bfb195f8f5af8be1\",\"bfb570dcfac07140\",\"bfb83deecc1b2697\",\"bfb9f732e86a1729\",\"bfba994d4a03592a\",\"bfba23cd902f23bc\",\"bfb898ff5ae59b50\",\"bfb5fd53a5c3aa00\",\"bfb2567d449558e4\",\"bfab54bd2aa5e456\",\"bf9ff7a5d38e34ce\",\"bf754157b52510bb\",\"3f994bad906c5640\",\"3fadf417b5dbfd39\",\"3fb8a720f613b163\",\"3fc1b0e2605203af\",\"3fc79893b81cc0ce\",\"3fce0c56cabec9b9\",\"3fd284da85d001ee\",\"3fd643b507975974\",\"3fda39613167d434\",\"3fde56ccac48c3fc\",\"3fe13881500fd564\",\"3fe342140665734f\",\"3fe539e8f954a040\",\"3fe7112d832de7fb\",\"3fe8b9b804b8aed9\",\"3fea27268ce5bc00\",\"3feb4f95e4c60a04\",\"3fec2bd7277f040c\",\"3fecb737813c3386\",\"3fecef0c06d3bb42\",\"3fecd2381ecc9c91\",\"3fec60d550a18480\",\"3feb9c0d5060dc24\",\"3fea86255a5fc8fa\",\"3fe922af131e1a42\",\"3fe776ccb6c29191\",\"3fe589720c982e3a\",\"3fe363899f280662\",\"3fe10fe865842c77\",\"3fdd36056c7fd533\",\"3fd824c48297ca1e\",\"3fd307d261bdeadd\",\"3fcbf3d61df413b3\",\"3fc225dd8c062d9b\",\"3fb19837a6ce89a6\",\"0000000000000000\"]},\"invariants\":{\"largest_imbalance\":2.7125668725092034e-10,\"largest_imbalance_hex\":\"3df2a3ff84000000\",\"outlet_departure\":3.6401218273817704e-3,\"outlet_departure_hex\":\"3f6dd1e386774780\"},\"field_sha256\":\"ab6e4d33e722fbae61939bae7ea6ae889dea1b135b0e56e52d587a1fb6a49068\",\"seal_parts\":{\"inputs\":\"48f3746e724a112425a359e40fe75a8c6ba868a97fd069d7af52ebd84d886678\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"6fa71543400fba3a3606fbc3b7d8b0b98f88955475629574f3b7aced50294a27\",\"invariants\":\"d6c4e852196514fb602df6738bb36afe3f63ca74676a1dd851b01eb8af75bcbe\",\"field_sha256\":\"c96b90a89a6b832de789041b4b52d9903d744497aec63693c112e484eb40e928\",\"outcome\":\"befc33d753992a274dde0dcf100aa38c1ae67c4addfa23c374d0958a6cabb1b7\"},\"solution_seal\":\"59a794138a026d9c8188b36d6617e3792f8cc21aed1c8c5421f29d7b542f2294\",\"receipt_sha256\":\"10bbb702fdb456f1aecfcaad4cc740baed9d58a54408dd60d7e9091838a28661\"}", "outside_request": "{\"solver\": \"step_flow_armaly\", \"parameters\": {\"reynolds_number\": 389.00000000000006, \"station_x_over_s\": 3.06}}", "outside_answer": "Physical Violation: 'reynolds_number' 389.00000000000006 is outside 100 to 389 (ReynoldsOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-d6c6c34c015b", "model": "step_flow_armaly", "solver": "step_flow_armaly", "tool": "solve", "specimen": "Steady laminar air flow over the backward-facing step of the rig of Armaly and others (1983; step 4.9 mm, channel 5.2 mm opening to 10.1 mm), two-dimensional Navier-Stokes with nothing fitted: reattachment length and the velocity profile at one station, Reynolds number 100 to 389; compared with measured velocity profiles at 100 and at 389 only, second-hand and digitised, all three lines met at 389 and confirmed by a second scoring, and at 100 also first-hand from Armaly's Figure 15 out to 30.31 step heights; stations out to 30 step heights at 100, out to 13.57 above 100; the reattachment length at 100 is 14 percent below the sentence of NASA Technical Memorandum 106248 that quotes the measurement, a miss of that sentence, and 6 percent below Armaly's own plot as read first-hand afterwards, inside the mark; at 389 it is 6 to 7 percent below that plot.", "base": "example_solve", "input": "parameters.station_x_over_s", "input_unit": "step heights", "whole_number_input": false, "base_value": 3.06, "edge_kind": "declared_limit", "direction": "up", "inside_value": 30.0, "inside_value_hex": "403e000000000000", "outside_value": 30.000000000000004, "outside_value_hex": "403e000000000001", "width": 3.552713678800501e-15, "adjacent_64_bit_numbers": true, "stop_name": "StationOutOfRange", "stop_sentence": "Physical Violation: 'station_x_over_s' 30.000000000000004 is outside 0 to 30 step heights (StationOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 6, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "022bdcb524f4caf04b255ef87363b335a93789f947f06e76fba16447b9ca0272", "outside_proof": null, "inside_receipt": "50346abb6add0f6f2e335717530386aaf1008dea65742477f8a25ec4b34266cf", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:46:47Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"step_flow_armaly\", \"parameters\": {\"reynolds_number\": 100.0, \"station_x_over_s\": 30.0}}", "inside_answer": "{\"inputs\":{\"solver\":\"step_flow_armaly\",\"parameters\":{\"reynolds_number\":100.0,\"station_x_over_s\":30.0}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":6,\"result\":{\"reattachment_x_over_s\":2.8349935962908783e0,\"reattachment_x_over_s_hex\":\"4006ae111f63828f\",\"reattachment_mm\":1.3891468621825304e1,\"reattachment_mm_hex\":\"402bc86e93404cbc\",\"floor_shear_sign_changes_x_over_s\":[2.8349935962908783e0],\"floor_shear_sign_changes_x_over_s_hex\":[\"4006ae111f63828f\"],\"upper_wall_shear_sign_changes_x_over_s\":[],\"upper_wall_shear_sign_changes_x_over_s_hex\":[],\"profile_y_over_h\":[0.0e0,2.0214521452145213e-2,4.0429042904290426e-2,6.064356435643564e-2,8.085808580858085e-2,1.0107260726072607e-1,1.2128712871287128e-1,1.415016501650165e-1,1.617161716171617e-1,1.8193069306930693e-1,2.0214521452145215e-1,2.2235973597359734e-1,2.4257425742574257e-1,2.6278877887788776e-1,2.83003300330033e-1,3.032178217821782e-1,3.234323432343234e-1,3.4364686468646866e-1,3.6386138613861385e-1,3.840759075907591e-1,4.042904290429043e-1,4.245049504950495e-1,4.447194719471947e-1,4.649339933993399e-1,4.8514851485148514e-1,5.04950495049505e-1,5.247524752475248e-1,5.445544554455445e-1,5.643564356435643e-1,5.841584158415841e-1,6.039603960396039e-1,6.237623762376238e-1,6.435643564356435e-1,6.633663366336633e-1,6.831683168316831e-1,7.029702970297029e-1,7.227722772277227e-1,7.425742574257425e-1,7.623762376237624e-1,7.821782178217821e-1,8.01980198019802e-1,8.217821782178217e-1,8.415841584158414e-1,8.613861386138614e-1,8.811881188118811e-1,9.00990099009901e-1,9.207920792079207e-1,9.405940594059404e-1,9.603960396039604e-1,9.801980198019801e-1,1.0e0],\"profile_y_over_h_hex\":[\"0000000000000000\",\"3f94b31d922a3e85\",\"3fa4b31d922a3e85\",\"3faf0cac5b3f5dc8\",\"3fb4b31d922a3e85\",\"3fb9dfe4f6b4ce27\",\"3fbf0cac5b3f5dc8\",\"3fc21cb9dfe4f6b5\",\"3fc4b31d922a3e85\",\"3fc74981446f8656\",\"3fc9dfe4f6b4ce27\",\"3fcc7648a8fa15f7\",\"3fcf0cac5b3f5dc8\",\"3fd0d18806c252cc\",\"3fd21cb9dfe4f6b5\",\"3fd367ebb9079a9d\",\"3fd4b31d922a3e85\",\"3fd5fe4f6b4ce26e\",\"3fd74981446f8656\",\"3fd894b31d922a3f\",\"3fd9dfe4f6b4ce27\",\"3fdb2b16cfd7720f\",\"3fdc7648a8fa15f7\",\"3fddc17a821cb9df\",\"3fdf0cac5b3f5dc8\",\"3fe0288df0cac5b4\",\"3fe0cac5b3f5dc84\",\"3fe16cfd7720f353\",\"3fe20f353a4c0a23\",\"3fe2b16cfd7720f3\",\"3fe353a4c0a237c3\",\"3fe3f5dc83cd4e93\",\"3fe4981446f86562\",\"3fe53a4c0a237c32\",\"3fe5dc83cd4e9302\",\"3fe67ebb9079a9d2\",\"3fe720f353a4c0a2\",\"3fe7c32b16cfd771\",\"3fe86562d9faee42\",\"3fe9079a9d260511\",\"3fe9a9d260511be2\",\"3fea4c0a237c32b1\",\"3feaee41e6a74980\",\"3feb9079a9d26051\",\"3fec32b16cfd7720\",\"3fecd4e930288df1\",\"3fed7720f353a4c0\",\"3fee1958b67ebb8f\",\"3feebb9079a9d260\",\"3fef5dc83cd4e92f\",\"3ff0000000000000\"],\"profile_u_over_umax\":[0.0e0,4.0755762179998545e-2,7.982981292551994e-2,1.1722215223603998e-1,1.5293278011067304e-1,1.869616965479588e-1,2.1930890154569802e-1,2.4997439510084463e-1,2.789581772094627e-1,3.0626024786674977e-1,3.3188060706712824e-1,3.5581925480440707e-1,3.780761910720026e-1,3.986514158632171e-1,4.1754492917155134e-1,4.347567309910527e-1,4.502868213166584e-1,4.6413520014453064e-1,4.763018674723547e-1,4.867868232995785e-1,4.9559006762758945e-1,5.027116004597781e-1,5.081514218015292e-1,5.119095316600882e-1,5.139859300443531e-1,5.143893722397651e-1,5.131790438445947e-1,5.103549448698423e-1,5.059170753265653e-1,4.998654352254839e-1,4.9220002457656875e-1,4.829208433886916e-1,4.7202789166935116e-1,4.595211694244388e-1,4.45400676658128e-1,4.2966641337281314e-1,4.1231837956917755e-1,3.9335657524632e-1,3.7278100040192425e-1,3.5059165503253337e-1,3.267885391338143e-1,3.0137165270086896e-1,2.743409957285259e-1,2.456965682116182e-1,2.1543837014521947e-1,1.8356640152484496e-1,1.5008066234659148e-1,1.1498115260723078e-1,7.826787230420489e-2,3.9940821435592966e-2,0.0e0],\"profile_u_over_umax_hex\":[\"0000000000000000\",\"3fa4ddf0735f9040\",\"3fb46fba03c2cac0\",\"3fbe02455e387453\",\"3fc3934d2487e5c9\",\"3fc7ee5c62239ab8\",\"3fcc125067ee2373\",\"3fcfff2935e5d348\",\"3fd1da7366044024\",\"3fd399c49529c348\",\"3fd53d882861ea93\",\"3fd6c5be1fab025d\",\"3fd832667b033b5d\",\"3fd983813a68be45\",\"3fdab90e5dd9c1bb\",\"3fdbd30de554a2e0\",\"3fdcd17fd0d7fd70\",\"3fddb4642062c35b\",\"3fde7bbad3f451c0\",\"3fdf2783eb8c81c5\",\"3fdfb7bf672bb50b\",\"3fe01636a3696d15\",\"3fe042c6c541b605\",\"3fe06190191fb445\",\"3fe072929f04a0e5\",\"3fe075e0b365c09b\",\"3fe06bf67549c340\",\"3fe054d3e4b22be0\",\"3fe0307901a07f85\",\"3fdffdcb982c6ec0\",\"3fdf803488296480\",\"3fdee82cd33a5095\",\"3fde35b4796142ab\",\"3fdd68cb7a9fd955\",\"3fdc8171d6f73a40\",\"3fdb7fa78e680deb\",\"3fda636ca0f2846b\",\"3fd92cc10e965e55\",\"3fd7dba4d752f8ab\",\"3fd67017fb27602b\",\"3fd4ea1a7a1263eb\",\"3fd349ac5412ab40\",\"3fd18ecd8926ca40\",\"3fcf72fc329aaaab\",\"3fcb937c0909e3ab\",\"3fc77f1a9598c855\",\"3fc335d7d8453355\",\"3fbd6f67a21abcab\",\"3fb4095cffdfc2ab\",\"3fa4731f93aeb800\",\"0000000000000000\"]},\"invariants\":{\"largest_imbalance\":1.66644475996236e-13,\"largest_imbalance_hex\":\"3d47740000000000\",\"outlet_departure\":4.1164231585155697e-4,\"outlet_departure_hex\":\"3f3afa3648c37000\"},\"field_sha256\":\"0f90971d5ab1dbe4a0aa59b0e6773b3fd6e0fb6d6204f3429ec4226eac9a52ec\",\"seal_parts\":{\"inputs\":\"d2765971b97957f1747fa186c593355611e8613eb200ba471a2b6a3203913e14\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"18c6731a61249da46e9c190e683130fafc71e75b5bb407882f96c902a51496cd\",\"invariants\":\"355f4336535969ed1e4e95996bedea87cd945b219d22814bf4db8018a25d081d\",\"field_sha256\":\"800fc5ec8885e8876c1f2beb1fad032a8031d49794d103d824f58a966534c72c\",\"outcome\":\"4986455bf6c121e2f1c6670507391ef741e1fe84af5b9c50f8006449f5e28474\"},\"solution_seal\":\"022bdcb524f4caf04b255ef87363b335a93789f947f06e76fba16447b9ca0272\",\"receipt_sha256\":\"50346abb6add0f6f2e335717530386aaf1008dea65742477f8a25ec4b34266cf\"}", "outside_request": "{\"solver\": \"step_flow_armaly\", \"parameters\": {\"reynolds_number\": 100.0, \"station_x_over_s\": 30.000000000000004}}", "outside_answer": "Physical Violation: 'station_x_over_s' 30.000000000000004 is outside 0 to 30 step heights (StationOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-12be9aa6e03e", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.shell_volume_m3[0]", "input_unit": "m^3", "whole_number_input": false, "base_value": 0.185232, "edge_kind": "declared_limit", "direction": "down", "inside_value": 0.10178807446752519, "inside_value_hex": "3fba0ec882f5f92c", "outside_value": 0.10178807446752518, "outside_value_hex": "3fba0ec882f5f92b", "width": 1.3877787807814457e-17, "adjacent_64_bit_numbers": true, "stop_name": "IonChargeExceedsElectrons", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (IonChargeExceedsElectrons). in shell 0 the thermal ions and the fast ions this solve finds carry 0.12000000000000033 of the electron density more charge than the electrons, above the allowance of 0.12 (QUASI_NEUTRALITY_FAST_ION_ALLOWANCE), the largest excess on a slice compared: quasi-neutrality cannot hold.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "3dbaddc8c1859159f584c0aa9bff3baa121476eb14d63c5d2a37fa6d875848b6", "outside_proof": "c0cabd077d1d6aeafe23974bc4e423c329ce83c9ca09f134220d4554f9fd78bf", "inside_receipt": "93d626886b9c5d47bc086225dc31a1d8fa653df9d12e55ccf5f5d414722b0e6a", "outside_receipt": "f7910c48573bb0e7d1ca334a87ba23cadc53a80379ef932163601f933078f35d", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:46:52Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.10178807446752519, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.10178807446752519,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.0124219617110794e17,\"thermal_dt_rate_per_s_hex\":\"438657a5b084c973\",\"beam_target_dt_rate_per_s\":1.3782033801231221e17,\"beam_target_dt_rate_per_s_hex\":\"437e9a2de020c529\",\"beam_beam_dt_rate_per_s\":8.50850286405996e15,\"beam_beam_dt_rate_per_s_hex\":\"433e3a7032c85e38\",\"dt_rate_per_s\":3.475710370474801e17,\"dt_rate_per_s_hex\":\"43934b481115b77d\",\"dt_fusion_power_w\":9.79478984600579e5,\"dt_fusion_power_w_hex\":\"412de42df81d912d\",\"dd_neutron_rate_per_s\":9.821620780134824e14,\"dd_neutron_rate_per_s_hex\":\"430bea2b6e2cc153\",\"dd_fusion_power_w\":1.1081109026563497e3,\"dd_fusion_power_w_hex\":\"409150719077483f\",\"neutron_rate_per_s\":3.485531991254936e17,\"neutron_rate_per_s_hex\":\"4393593d26cccdde\",\"fast_ion_count\":1.148524084179004e19,\"fast_ion_count_hex\":\"43e3ec78b636d685\",\"fast_ion_energy_j\":1.2444664288453574e5,\"fast_ion_energy_j_hex\":\"40fe61ea49414b82\",\"fast_ion_energy_time_s\":1.0911055436104226e-1,\"fast_ion_energy_time_s_hex\":\"3fbbeeab56a10d23\",\"beam_power_to_electrons_w\":1.5332738781049429e5,\"beam_power_to_electrons_w_hex\":\"4102b77b1a3c6370\",\"beam_power_to_ions_w\":8.032228404453917e5,\"beam_power_to_ions_w_hex\":\"4128832dae4edbbf\",\"beam_power_thermalised_w\":1.8213116460742167e5,\"beam_power_thermalised_w_hex\":\"41063b99511db226\",\"beam_target_fused_fraction\":2.0376761701723974e-3,\"beam_target_fused_fraction_hex\":\"3f60b1511057e44c\",\"beam_beam_fused_fraction\":1.2529181648924457e-4,\"beam_beam_fused_fraction_hex\":\"3f206c188230b11a\",\"fast_ion_fraction_max\":2.4753289449436489e-1,\"fast_ion_fraction_max_hex\":\"3fcfaf286b44cd50\",\"charge_excess_max\":1.200000000000002e-1,\"charge_excess_max_hex\":\"3fbeb851eb851ec7\",\"charge_excess_min\":-1.8675557360200587e-2,\"charge_excess_min_hex\":\"bf931faf7062f3ec\",\"dt_rate_density_per_m3_s\":[2.4570434584221267e17,1.760405019827982e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438b475667ed8efa\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.3071528604798281e-6,\"power_ledger_residual_hex\":\"beb5ee2dc4f5f8c2\"},\"field_sha256\":\"0a0b7f2a3af0669fce84d8bc0ff681b45d3c00249b724833197a204a973fc2ae\",\"seal_parts\":{\"inputs\":\"2083af17fe669dec71325ffe2dca4e6fedbc5e0f15b1d6d0fd2f529223300c40\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"300b1aba5b76ef0b477a576077acc6a556f9cddf92ac9f0298aadf055c2a9467\",\"invariants\":\"30f1afff0f1315a06edfabde6213daaa5a1086f68f6d62a3c4540435f39b2c39\",\"field_sha256\":\"772b3b8dce5f9c83e421992b0ac383a12e60886d0542ee005dc8dfad8a939dfc\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"3dbaddc8c1859159f584c0aa9bff3baa121476eb14d63c5d2a37fa6d875848b6\",\"receipt_sha256\":\"93d626886b9c5d47bc086225dc31a1d8fa653df9d12e55ccf5f5d414722b0e6a\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.10178807446752518, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.10178807446752518,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"IonChargeExceedsElectrons\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (IonChargeExceedsElectrons). in shell 0 the thermal ions and the fast ions this solve finds carry 0.12000000000000033 of the electron density more charge than the electrons, above the allowance of 0.12 (QUASI_NEUTRALITY_FAST_ION_ALLOWANCE), the largest excess on a slice compared: quasi-neutrality cannot hold.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"ca440b38ab76eb598051916625dc8201f0a8f578919a40e085abea5228f30be9\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"7c3a7b714043ee1678380f76aa801eb018c060cfab1df38ebfc52601c37a8ff1\"},\"solution_seal\":\"c0cabd077d1d6aeafe23974bc4e423c329ce83c9ca09f134220d4554f9fd78bf\",\"receipt_sha256\":\"f7910c48573bb0e7d1ca334a87ba23cadc53a80379ef932163601f933078f35d\"}", "outside_answer_is_error": false}
{"id": "edge-faa452f95d71", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.shell_volume_m3[0]", "input_unit": "m^3", "whole_number_input": false, "base_value": 0.185232, "edge_kind": "declared_limit", "direction": "up", "inside_value": 200.0, "inside_value_hex": "4069000000000000", "outside_value": 200.00000000000003, "outside_value_hex": "4069000000000001", "width": 2.842170943040401e-14, "adjacent_64_bit_numbers": true, "stop_name": "ShellVolumeOutOfRange", "stop_sentence": "Physical Violation: the volume of shell 0, 200.00000000000003 m^3, is outside 0.000001..=200 (ShellVolumeOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "cceea069da5f1939f846d8c118b468c6fc35a8d436322328d164b2ef1f11fcbc", "outside_proof": null, "inside_receipt": "47c2a2b76a8e74c949f6d142313db68a5680f6089d8237a31f312d9d1d19ac10", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:46:54Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [200.0, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[200.0,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":1.927434762927565e19,\"thermal_dt_rate_per_s_hex\":\"43f0b7c3d0c885e1\",\"beam_target_dt_rate_per_s\":1.3782033801231221e17,\"beam_target_dt_rate_per_s_hex\":\"437e9a2de020c529\",\"beam_beam_dt_rate_per_s\":6.0609788140059e15,\"beam_beam_dt_rate_per_s_hex\":\"4335886d9933328c\",\"dt_rate_per_s\":1.9418228946101965e19,\"dt_rate_per_s_hex\":\"43f0d7b6858239d9\",\"dt_fusion_power_w\":5.472189896038812e7,\"dt_fusion_power_w_hex\":\"418a17eb57aedff7\",\"dd_neutron_rate_per_s\":7.03554957554761e16,\"dd_neutron_rate_per_s_hex\":\"436f3e7e6b900d90\",\"dd_fusion_power_w\":7.886230209603213e4,\"dd_fusion_power_w_hex\":\"40f340e4d562a624\",\"neutron_rate_per_s\":1.948858444185744e19,\"neutron_rate_per_s_hex\":\"43f0e755c4b801e0\",\"fast_ion_count\":1.148524084179004e19,\"fast_ion_count_hex\":\"43e3ec78b636d685\",\"fast_ion_energy_j\":1.2444664288453574e5,\"fast_ion_energy_j_hex\":\"40fe61ea49414b82\",\"fast_ion_energy_time_s\":1.0911055436104226e-1,\"fast_ion_energy_time_s_hex\":\"3fbbeeab56a10d23\",\"beam_power_to_electrons_w\":1.5332738781049429e5,\"beam_power_to_electrons_w_hex\":\"4102b77b1a3c6370\",\"beam_power_to_ions_w\":8.032228404453917e5,\"beam_power_to_ions_w_hex\":\"4128832dae4edbbf\",\"beam_power_thermalised_w\":1.8213116460742167e5,\"beam_power_thermalised_w_hex\":\"41063b99511db226\",\"beam_target_fused_fraction\":2.0376761701723974e-3,\"beam_target_fused_fraction_hex\":\"3f60b1511057e44c\",\"beam_beam_fused_fraction\":8.925084206262717e-5,\"beam_beam_fused_fraction_hex\":\"3f176585ca8bf00c\",\"fast_ion_fraction_max\":7.21034732970806e-2,\"fast_ion_fraction_max_hex\":\"3fb2755f8bbd2d2b\",\"charge_excess_max\":-4.338027550085284e-3,\"charge_excess_max_hex\":\"bf71c4c0674ee708\",\"charge_excess_min\":-1.274069150108748e-1,\"charge_excess_min_hex\":\"bfc04edeaaa0c342\",\"dt_rate_density_per_m3_s\":[9.547833840653032e16,1.760405019827982e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"43753350afc773d1\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.3071528604798281e-6,\"power_ledger_residual_hex\":\"beb5ee2dc4f5f8c2\"},\"field_sha256\":\"f9972a12794bbd02dfc1c549e4c11cccb8242e689f7970a5ddc0adb2ea98ce81\",\"seal_parts\":{\"inputs\":\"157a209af5c12fbceb84e02dc3248c122af831ad57dcd0970b2497f23360bb8a\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e84123eb26d71c8100f0ab671e64c02547d4ae88efb1932dfe11809ee85e5c57\",\"invariants\":\"30f1afff0f1315a06edfabde6213daaa5a1086f68f6d62a3c4540435f39b2c39\",\"field_sha256\":\"6386a0ecd5ea0c07a9033a558be7c56d43d09d445155a19a230670af9d72869a\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"cceea069da5f1939f846d8c118b468c6fc35a8d436322328d164b2ef1f11fcbc\",\"receipt_sha256\":\"47c2a2b76a8e74c949f6d142313db68a5680f6089d8237a31f312d9d1d19ac10\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [200.00000000000003, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: the volume of shell 0, 200.00000000000003 m^3, is outside 0.000001..=200 (ShellVolumeOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-059ecc3da0c6", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.shell_volume_m3[1]", "input_unit": "m^3", "whole_number_input": false, "base_value": 1.13996, "edge_kind": "declared_limit", "direction": "down", "inside_value": 0.4184201152265109, "inside_value_hex": "3fdac76529b8bb0a", "outside_value": 0.41842011522651085, "outside_value_hex": "3fdac76529b8bb09", "width": 5.551115123125783e-17, "adjacent_64_bit_numbers": true, "stop_name": "IonChargeExceedsElectrons", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (IonChargeExceedsElectrons). in shell 1 the thermal ions and the fast ions this solve finds carry 0.12000000000000033 of the electron density more charge than the electrons, above the allowance of 0.12 (QUASI_NEUTRALITY_FAST_ION_ALLOWANCE), the largest excess on a slice compared: quasi-neutrality cannot hold.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "10ee5b688d44bce773d4ee678a601bab808ef9ce4f321f27678a44b25bda1f12", "outside_proof": "e57ae4a81ce825e778ebe40b1b060c43b65375863275d4cac7d8cbc53c1f3abe", "inside_receipt": "7574c733275efb8a6695cdf5e9ab3db82bdc99565391e714f365df8d1448cca2", "outside_receipt": "9aa5e77de54ff194dccfa923c8fd93a9921dcb14a2483bfe4519217662ba6566", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:46:56Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 0.4184201152265109, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,0.4184201152265109,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":1.181682703233259e17,\"thermal_dt_rate_per_s_hex\":\"437a3d16a70581bd\",\"beam_target_dt_rate_per_s\":1.3782033801231221e17,\"beam_target_dt_rate_per_s_hex\":\"437e9a2de020c529\",\"beam_beam_dt_rate_per_s\":1.2233972195619628e16,\"beam_beam_dt_rate_per_s_hex\":\"4345bb5dcf74b996\",\"dt_rate_per_s\":2.6822258053125773e17,\"dt_rate_per_s_hex\":\"438dc758208a6f0c\",\"dt_fusion_power_w\":7.558696002331591e5,\"dt_fusion_power_w_hex\":\"4127113b3351c2b9\",\"dd_neutron_rate_per_s\":6.80631682126393e14,\"dd_neutron_rate_per_s_hex\":\"4303583f4d1691c8\",\"dd_fusion_power_w\":7.694924734906524e2,\"dd_fusion_power_w_hex\":\"40880bf095f103fe\",\"neutron_rate_per_s\":2.6890321221338413e17,\"neutron_rate_per_s_hex\":\"438ddab05fd7859e\",\"fast_ion_count\":1.148524084179004e19,\"fast_ion_count_hex\":\"43e3ec78b636d685\",\"fast_ion_energy_j\":1.2444664288453574e5,\"fast_ion_energy_j_hex\":\"40fe61ea49414b82\",\"fast_ion_energy_time_s\":1.0911055436104226e-1,\"fast_ion_energy_time_s_hex\":\"3fbbeeab56a10d23\",\"beam_power_to_electrons_w\":1.5332738781049429e5,\"beam_power_to_electrons_w_hex\":\"4102b77b1a3c6370\",\"beam_power_to_ions_w\":8.032228404453917e5,\"beam_power_to_ions_w_hex\":\"4128832dae4edbbf\",\"beam_power_thermalised_w\":1.8213116460742167e5,\"beam_power_thermalised_w_hex\":\"41063b99511db226\",\"beam_target_fused_fraction\":2.0376761701723974e-3,\"beam_target_fused_fraction_hex\":\"3f60b1511057e44c\",\"beam_beam_fused_fraction\":1.8015115276539832e-4,\"beam_beam_fused_fraction_hex\":\"3f279cde9e72139f\",\"fast_ion_fraction_max\":1.9644150084716616e-1,\"fast_ion_fraction_max_hex\":\"3fc924febedb9d34\",\"charge_excess_max\":1.2000000000000019e-1,\"charge_excess_max_hex\":\"3fbeb851eb851ec6\",\"charge_excess_min\":-1.8675557360200587e-2,\"charge_excess_min_hex\":\"bf931faf7062f3ec\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,2.7358168057468672e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"438e5fa8b63dab30\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.3071528604798281e-6,\"power_ledger_residual_hex\":\"beb5ee2dc4f5f8c2\"},\"field_sha256\":\"9108c222b7f9ec7ac882ffa587e5c4a457c387d1c3412d0d46bbd75fa1c6b634\",\"seal_parts\":{\"inputs\":\"97136c72cd2623c735af3ef2964cf236b04f822f99e009a8d22dfd11d6913914\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"79f013c8ef0dfdf811122e4e96b1d28e810cfaeacf5960d0027e7672244e3791\",\"invariants\":\"30f1afff0f1315a06edfabde6213daaa5a1086f68f6d62a3c4540435f39b2c39\",\"field_sha256\":\"a30c47c2e87ffc020e9a2ca98d1284f383857424824c5b7b594f767aa97d6e46\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"10ee5b688d44bce773d4ee678a601bab808ef9ce4f321f27678a44b25bda1f12\",\"receipt_sha256\":\"7574c733275efb8a6695cdf5e9ab3db82bdc99565391e714f365df8d1448cca2\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 0.41842011522651085, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,0.41842011522651085,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"IonChargeExceedsElectrons\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (IonChargeExceedsElectrons). in shell 1 the thermal ions and the fast ions this solve finds carry 0.12000000000000033 of the electron density more charge than the electrons, above the allowance of 0.12 (QUASI_NEUTRALITY_FAST_ION_ALLOWANCE), the largest excess on a slice compared: quasi-neutrality cannot hold.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"4d1509f3a1b93198ed89c3b051fd1e088304ae6c5b4c626bef59e8d15297f2c3\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"7c3a7b714043ee1678380f76aa801eb018c060cfab1df38ebfc52601c37a8ff1\"},\"solution_seal\":\"e57ae4a81ce825e778ebe40b1b060c43b65375863275d4cac7d8cbc53c1f3abe\",\"receipt_sha256\":\"9aa5e77de54ff194dccfa923c8fd93a9921dcb14a2483bfe4519217662ba6566\"}", "outside_answer_is_error": false}
{"id": "edge-0dd622dceeee", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.shell_volume_m3[1]", "input_unit": "m^3", "whole_number_input": false, "base_value": 1.13996, "edge_kind": "declared_limit", "direction": "up", "inside_value": 200.0, "inside_value_hex": "4069000000000000", "outside_value": 200.00000000000003, "outside_value_hex": "4069000000000001", "width": 2.842170943040401e-14, "adjacent_64_bit_numbers": true, "stop_name": "ShellVolumeOutOfRange", "stop_sentence": "Physical Violation: the volume of shell 1, 200.00000000000003 m^3, is outside 0.000001..=200 (ShellVolumeOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "8157ed15da9beb203644bb8dd9706a95e6eada690579b522098127d21e1478c9", "outside_proof": null, "inside_receipt": "d2f573750dc210d171d307267bda936a42a7f79059c1eb9b7c099ea091a817ee", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:46:58Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 200.0, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,200.0,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.529908980111181e19,\"thermal_dt_rate_per_s_hex\":\"43f5f186c223ffa3\",\"beam_target_dt_rate_per_s\":1.3782033801231221e17,\"beam_target_dt_rate_per_s_hex\":\"437e9a2de020c529\",\"beam_beam_dt_rate_per_s\":4.621233618718781e15,\"beam_beam_dt_rate_per_s_hex\":\"43306afccc44903d\",\"dt_rate_per_s\":2.544153137274284e19,\"dt_rate_per_s_hex\":\"43f611279fd0e4b1\",\"dt_fusion_power_w\":7.169597768370382e7,\"dt_fusion_power_w_hex\":\"419117f9a6bc1cdb\",\"dd_neutron_rate_per_s\":9.209557386030867e16,\"dd_neutron_rate_per_s_hex\":\"43747306fbd5456c\",\"dd_fusion_power_w\":1.0341085800006773e5,\"dd_fusion_power_w_hex\":\"40f93f2dba5e476e\",\"neutron_rate_per_s\":2.5533626946603147e19,\"neutron_rate_per_s_hex\":\"43f6259aa6ccb9f6\",\"fast_ion_count\":1.148524084179004e19,\"fast_ion_count_hex\":\"43e3ec78b636d685\",\"fast_ion_energy_j\":1.2444664288453574e5,\"fast_ion_energy_j_hex\":\"40fe61ea49414b82\",\"fast_ion_energy_time_s\":1.0911055436104226e-1,\"fast_ion_energy_time_s_hex\":\"3fbbeeab56a10d23\",\"beam_power_to_electrons_w\":1.5332738781049429e5,\"beam_power_to_electrons_w_hex\":\"4102b77b1a3c6370\",\"beam_power_to_ions_w\":8.032228404453917e5,\"beam_power_to_ions_w_hex\":\"4128832dae4edbbf\",\"beam_power_thermalised_w\":1.8213116460742167e5,\"beam_power_thermalised_w_hex\":\"41063b99511db226\",\"beam_target_fused_fraction\":2.0376761701723974e-3,\"beam_target_fused_fraction_hex\":\"3f60b1511057e44c\",\"beam_beam_fused_fraction\":6.804989829129131e-5,\"beam_beam_fused_fraction_hex\":\"3f11d6c059c2d09f\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-7.603052547006715e-2,\"charge_excess_min_hex\":\"bfb376bc8c644217\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.2643890435260752e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"437c133837bba0d2\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.3071528604798281e-6,\"power_ledger_residual_hex\":\"beb5ee2dc4f5f8c2\"},\"field_sha256\":\"0ad32283938f3d68731c46933515028474c36a4a069d76f0186fc737a82aa92f\",\"seal_parts\":{\"inputs\":\"a778e5f1365e8aa9346953eeb9edb9bf4e344fde2d527cda30a226816ddeec4a\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"cd22b88e51bc16c33b54582677f2c2dc164ef3a81ea5a5cdbb5f8cd42fab53e2\",\"invariants\":\"30f1afff0f1315a06edfabde6213daaa5a1086f68f6d62a3c4540435f39b2c39\",\"field_sha256\":\"2cf49e7cb4acf14b9c70ea6ca39c8ef1ca8dd18736e27e48a509752aa4a3a843\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"8157ed15da9beb203644bb8dd9706a95e6eada690579b522098127d21e1478c9\",\"receipt_sha256\":\"d2f573750dc210d171d307267bda936a42a7f79059c1eb9b7c099ea091a817ee\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 200.00000000000003, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: the volume of shell 1, 200.00000000000003 m^3, is outside 0.000001..=200 (ShellVolumeOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-254ea3e69721", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.shell_volume_m3[2]", "input_unit": "m^3", "whole_number_input": false, "base_value": 2.13983, "edge_kind": "declared_limit", "direction": "down", "inside_value": 0.5795084507352163, "inside_value_hex": "3fe28b554e753a6b", "outside_value": 0.5795084507352162, "outside_value_hex": "3fe28b554e753a6a", "width": 1.1102230246251565e-16, "adjacent_64_bit_numbers": true, "stop_name": "IonChargeExceedsElectrons", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (IonChargeExceedsElectrons). in shell 2 the thermal ions and the fast ions this solve finds carry 0.12000000000000033 of the electron density more charge than the electrons, above the allowance of 0.12 (QUASI_NEUTRALITY_FAST_ION_ALLOWANCE), the largest excess on a slice compared: quasi-neutrality cannot hold.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "fbdfcd59dcc32e2931679440ee4e4f634fab339cee4d124f61216b7aaa01f087", "outside_proof": "e996c046b570bccec9f6b5b00832296a1ace80b657a4377e56c250e4e32f977e", "inside_receipt": "01d69e26de5fab675cdbc35be3be3bfd3c82865b1d1c3b057bacda4c12999c6e", "outside_receipt": "727a07c80c3a8c9e838254ad1d32fbe64341ca9a5dff43f51db3ed09f824f50b", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:46:59Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 0.5795084507352163, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,0.5795084507352163,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":1.774845432628131e17,\"thermal_dt_rate_per_s_hex\":\"4383b46a03926b5d\",\"beam_target_dt_rate_per_s\":1.3782033801231221e17,\"beam_target_dt_rate_per_s_hex\":\"437e9a2de020c529\",\"beam_beam_dt_rate_per_s\":1.5778550221331064e16,\"beam_beam_dt_rate_per_s_hex\":\"434c07410081ad3c\",\"dt_rate_per_s\":3.310834314964564e17,\"dt_rate_per_s_hex\":\"439260fa81d57463\",\"dt_fusion_power_w\":9.330157830611322e5,\"dt_fusion_power_w_hex\":\"412c792f90ed6383\",\"dd_neutron_rate_per_s\":9.199073060706374e14,\"dd_neutron_rate_per_s_hex\":\"430a2534e1a3136b\",\"dd_fusion_power_w\":1.0356234026243346e3,\"dd_fusion_power_w_hex\":\"40902e7e5d41ef08\",\"neutron_rate_per_s\":3.3200333880252704e17,\"neutron_rate_per_s_hex\":\"43926e0d1c4645ed\",\"fast_ion_count\":1.148524084179004e19,\"fast_ion_count_hex\":\"43e3ec78b636d685\",\"fast_ion_energy_j\":1.2444664288453574e5,\"fast_ion_energy_j_hex\":\"40fe61ea49414b82\",\"fast_ion_energy_time_s\":1.0911055436104226e-1,\"fast_ion_energy_time_s_hex\":\"3fbbeeab56a10d23\",\"beam_power_to_electrons_w\":1.5332738781049429e5,\"beam_power_to_electrons_w_hex\":\"4102b77b1a3c6370\",\"beam_power_to_ions_w\":8.032228404453917e5,\"beam_power_to_ions_w_hex\":\"4128832dae4edbbf\",\"beam_power_thermalised_w\":1.8213116460742167e5,\"beam_power_thermalised_w_hex\":\"41063b99511db226\",\"beam_target_fused_fraction\":2.0376761701723974e-3,\"beam_target_fused_fraction_hex\":\"3f60b1511057e44c\",\"beam_beam_fused_fraction\":2.3234677714547097e-4,\"beam_beam_fused_fraction_hex\":\"3f2e74439e4ba285\",\"fast_ion_fraction_max\":1.8414856087570752e-1,\"fast_ion_fraction_max_hex\":\"3fc7922e1748874c\",\"charge_excess_max\":1.2000000000000016e-1,\"charge_excess_max_hex\":\"3fbeb851eb851ec4\",\"charge_excess_min\":-1.8675557360200587e-2,\"charge_excess_min_hex\":\"bf931faf7062f3ec\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,1.45806964603262e17,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"438030154b57a4a2\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.3071528604798281e-6,\"power_ledger_residual_hex\":\"beb5ee2dc4f5f8c2\"},\"field_sha256\":\"9ffa98baf66103e2ad6897c29ca111e0f991ecbcb5ab2479a6cb617db8431d4c\",\"seal_parts\":{\"inputs\":\"eb4da85628807edd2f1a6786bdd2b4e57f8cbd883eef2bf79a029f2381faad79\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"a0defccdafd83cc1f8b06ade7028bb954cc771db46431744dd5fafdf3f16fff6\",\"invariants\":\"30f1afff0f1315a06edfabde6213daaa5a1086f68f6d62a3c4540435f39b2c39\",\"field_sha256\":\"0dfa86d615adaeb45811121be7e3880f12ce5497b2304947eeef2e7e73b9bc87\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"fbdfcd59dcc32e2931679440ee4e4f634fab339cee4d124f61216b7aaa01f087\",\"receipt_sha256\":\"01d69e26de5fab675cdbc35be3be3bfd3c82865b1d1c3b057bacda4c12999c6e\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 0.5795084507352162, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,0.5795084507352162,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"IonChargeExceedsElectrons\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (IonChargeExceedsElectrons). in shell 2 the thermal ions and the fast ions this solve finds carry 0.12000000000000033 of the electron density more charge than the electrons, above the allowance of 0.12 (QUASI_NEUTRALITY_FAST_ION_ALLOWANCE), the largest excess on a slice compared: quasi-neutrality cannot hold.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"fc9102d0c2133149c8bc911a82f56027b22c8814fedca29aef8c861251544e2e\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"7c3a7b714043ee1678380f76aa801eb018c060cfab1df38ebfc52601c37a8ff1\"},\"solution_seal\":\"e996c046b570bccec9f6b5b00832296a1ace80b657a4377e56c250e4e32f977e\",\"receipt_sha256\":\"727a07c80c3a8c9e838254ad1d32fbe64341ca9a5dff43f51db3ed09f824f50b\"}", "outside_answer_is_error": false}
{"id": "edge-c78766f13d21", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.shell_volume_m3[2]", "input_unit": "m^3", "whole_number_input": false, "base_value": 2.13983, "edge_kind": "declared_limit", "direction": "up", "inside_value": 200.0, "inside_value_hex": "4069000000000000", "outside_value": 200.00000000000003, "outside_value_hex": "4069000000000001", "width": 2.842170943040401e-14, "adjacent_64_bit_numbers": true, "stop_name": "ShellVolumeOutOfRange", "stop_sentence": "Physical Violation: the volume of shell 2, 200.00000000000003 m^3, is outside 0.000001..=200 (ShellVolumeOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "ee8d7d245a8e73bec8e6a353cc87b96704685fe45e53846f792e64fa93cd8e9a", "outside_proof": null, "inside_receipt": "1f2fae742e3e4433848834eae1890d7ca25c7bd24eec92888ce030a1e378b469", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:47:01Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 200.0, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,200.0,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":4.231452864540179e18,\"thermal_dt_rate_per_s_hex\":\"43cd5c91fb055cfd\",\"beam_target_dt_rate_per_s\":1.3782033801231221e17,\"beam_target_dt_rate_per_s_hex\":\"437e9a2de020c529\",\"beam_beam_dt_rate_per_s\":4.328820058210009e15,\"beam_beam_dt_rate_per_s_hex\":\"432ec213ebbb7db2\",\"dt_rate_per_s\":4.373602022610701e18,\"dt_rate_per_s_hex\":\"43ce5913ef015205\",\"dt_fusion_power_w\":1.232511001073018e7,\"dt_fusion_power_w_hex\":\"4167821ec057e6d2\",\"dd_neutron_rate_per_s\":1.2577649507102592e16,\"dd_neutron_rate_per_s_hex\":\"434657a71d7d77c0\",\"dd_fusion_power_w\":1.4448309026505991e4,\"dd_fusion_power_w_hex\":\"40cc38278e2e386a\",\"neutron_rate_per_s\":4.3861796721178035e18,\"neutron_rate_per_s_hex\":\"43ce6f6b961ecf7d\",\"fast_ion_count\":1.148524084179004e19,\"fast_ion_count_hex\":\"43e3ec78b636d685\",\"fast_ion_energy_j\":1.2444664288453574e5,\"fast_ion_energy_j_hex\":\"40fe61ea49414b82\",\"fast_ion_energy_time_s\":1.0911055436104226e-1,\"fast_ion_energy_time_s_hex\":\"3fbbeeab56a10d23\",\"beam_power_to_electrons_w\":1.5332738781049429e5,\"beam_power_to_electrons_w_hex\":\"4102b77b1a3c6370\",\"beam_power_to_ions_w\":8.032228404453917e5,\"beam_power_to_ions_w_hex\":\"4128832dae4edbbf\",\"beam_power_thermalised_w\":1.8213116460742167e5,\"beam_power_thermalised_w_hex\":\"41063b99511db226\",\"beam_target_fused_fraction\":2.0376761701723974e-3,\"beam_target_fused_fraction_hex\":\"3f60b1511057e44c\",\"beam_beam_fused_fraction\":6.374396730113005e-5,\"beam_beam_fused_fraction_hex\":\"3f10b5c904fe1f21\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-6.361498263961636e-2,\"charge_excess_min_hex\":\"bfb049124df906cd\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,2.0635074796389428e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"435253df6fc9c10d\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.3071528604798281e-6,\"power_ledger_residual_hex\":\"beb5ee2dc4f5f8c2\"},\"field_sha256\":\"300cd585d4be66fa2fc3bf82f3ae9b5110795ee3c272ac5222438b33b5eb0a42\",\"seal_parts\":{\"inputs\":\"243d9949ab6a44bf752d509fc9234d45e7eaf3c8f4f81234a42af9e46defe7ae\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"9f7d21bcfe025c7118ba64ed04e00bc48c56166f346b1aa4f71235d43b3c50a6\",\"invariants\":\"30f1afff0f1315a06edfabde6213daaa5a1086f68f6d62a3c4540435f39b2c39\",\"field_sha256\":\"edaa78393b36d6afd3ecdfbea6210e6eda0e6e535758135c99ecd7f30d2cc43f\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"ee8d7d245a8e73bec8e6a353cc87b96704685fe45e53846f792e64fa93cd8e9a\",\"receipt_sha256\":\"1f2fae742e3e4433848834eae1890d7ca25c7bd24eec92888ce030a1e378b469\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 200.00000000000003, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: the volume of shell 2, 200.00000000000003 m^3, is outside 0.000001..=200 (ShellVolumeOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-5298d1a74784", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.shell_volume_m3[3]", "input_unit": "m^3", "whole_number_input": false, "base_value": 2.78539, "edge_kind": "declared_limit", "direction": "down", "inside_value": 0.2196682655698192, "inside_value_hex": "3fcc1e16f84bb387", "outside_value": 0.21966826556981917, "outside_value_hex": "3fcc1e16f84bb386", "width": 2.7755575615628914e-17, "adjacent_64_bit_numbers": true, "stop_name": "IonChargeExceedsElectrons", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (IonChargeExceedsElectrons). in shell 3 the thermal ions and the fast ions this solve finds carry 0.12000000000000033 of the electron density more charge than the electrons, above the allowance of 0.12 (QUASI_NEUTRALITY_FAST_ION_ALLOWANCE), the largest excess on a slice compared: quasi-neutrality cannot hold.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "96b4645c0fb28bfdd38c1b5e706ae8a0b2a5a2e85cb736726db6665973171070", "outside_proof": "c74b4a60828142397ced1892eb3f00854164933ff4a0fedde0821e2d18ba3e52", "inside_receipt": "c3f599cc5468df4348bf580975ead6494f5907fe25e9c50c18dc66a17976a5d2", "outside_receipt": "22d0c8525a1b01067c9ac6aa4af690a10d5fcd39cc1357f7f339ea5cb9aa0c96", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:47:03Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 0.2196682655698192], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,0.2196682655698192],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.053323856041082e17,\"thermal_dt_rate_per_s_hex\":\"4386cbe5bc0687fd\",\"beam_target_dt_rate_per_s\":1.3782033801231221e17,\"beam_target_dt_rate_per_s_hex\":\"437e9a2de020c529\",\"beam_beam_dt_rate_per_s\":9.155131734554596e15,\"beam_beam_dt_rate_per_s_hex\":\"434043459b747bf2\",\"dt_rate_per_s\":3.5230785535097504e17,\"dt_rate_per_s_hex\":\"43938e9882e71929\",\"dt_fusion_power_w\":9.928276629644522e5,\"dt_fusion_power_w_hex\":\"412e4c77537013a1\",\"dd_neutron_rate_per_s\":1.000414713194894e15,\"dd_neutron_rate_per_s_hex\":\"430c6ef99cdd4c70\",\"dd_fusion_power_w\":1.1280910517956352e3,\"dd_fusion_power_w_hex\":\"4091a05d3cae91fb\",\"neutron_rate_per_s\":3.533082700641699e17,\"neutron_rate_per_s_hex\":\"43939ccfffb587cf\",\"fast_ion_count\":1.148524084179004e19,\"fast_ion_count_hex\":\"43e3ec78b636d685\",\"fast_ion_energy_j\":1.2444664288453574e5,\"fast_ion_energy_j_hex\":\"40fe61ea49414b82\",\"fast_ion_energy_time_s\":1.0911055436104226e-1,\"fast_ion_energy_time_s_hex\":\"3fbbeeab56a10d23\",\"beam_power_to_electrons_w\":1.5332738781049429e5,\"beam_power_to_electrons_w_hex\":\"4102b77b1a3c6370\",\"beam_power_to_ions_w\":8.032228404453917e5,\"beam_power_to_ions_w_hex\":\"4128832dae4edbbf\",\"beam_power_thermalised_w\":1.8213116460742167e5,\"beam_power_thermalised_w_hex\":\"41063b99511db226\",\"beam_target_fused_fraction\":2.0376761701723974e-3,\"beam_target_fused_fraction_hex\":\"3f60b1511057e44c\",\"beam_beam_fused_fraction\":1.3481373909690798e-4,\"beam_beam_fused_fraction_hex\":\"3f21ab9933712842\",\"fast_ion_fraction_max\":1.5054848136184007e-1,\"fast_ion_fraction_max_hex\":\"3fc3452c31f4ae48\",\"charge_excess_max\":1.200000000000002e-1,\"charge_excess_max_hex\":\"3fbeb851eb851ec7\",\"charge_excess_min\":-1.4277474285557187e-2,\"charge_excess_min_hex\":\"bf8d3d822901f198\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,5.039772763669543e16,5.425356769296009e16],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"436817eaa2c45e2b\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.3071528604798281e-6,\"power_ledger_residual_hex\":\"beb5ee2dc4f5f8c2\"},\"field_sha256\":\"b102ba6862ce5a840830d3c80bb53e61d6b3728efee0f08b01c07fcb47134b22\",\"seal_parts\":{\"inputs\":\"50cfa16963f1dd9113d2f9a4033394bed05739dc2ee0e2bce22f11eebffd604c\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"8abcd9fd951f6a4c905a88f36de8dcb0621a85286b10f3c8afcd2a2e02498dec\",\"invariants\":\"30f1afff0f1315a06edfabde6213daaa5a1086f68f6d62a3c4540435f39b2c39\",\"field_sha256\":\"53c03d0e09983795e13f27b02295ae6d0a8b95d4bfddacf5c74f281b3339af62\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"96b4645c0fb28bfdd38c1b5e706ae8a0b2a5a2e85cb736726db6665973171070\",\"receipt_sha256\":\"c3f599cc5468df4348bf580975ead6494f5907fe25e9c50c18dc66a17976a5d2\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 0.21966826556981917], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,0.21966826556981917],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"IonChargeExceedsElectrons\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (IonChargeExceedsElectrons). in shell 3 the thermal ions and the fast ions this solve finds carry 0.12000000000000033 of the electron density more charge than the electrons, above the allowance of 0.12 (QUASI_NEUTRALITY_FAST_ION_ALLOWANCE), the largest excess on a slice compared: quasi-neutrality cannot hold.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"4d8e6bc94a0278c7fb756a36d6d3a4bbbcd2fa235d81613f2c0a7244354494b0\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"7c3a7b714043ee1678380f76aa801eb018c060cfab1df38ebfc52601c37a8ff1\"},\"solution_seal\":\"c74b4a60828142397ced1892eb3f00854164933ff4a0fedde0821e2d18ba3e52\",\"receipt_sha256\":\"22d0c8525a1b01067c9ac6aa4af690a10d5fcd39cc1357f7f339ea5cb9aa0c96\"}", "outside_answer_is_error": false}
{"id": "edge-35e7e3cefc91", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.shell_volume_m3[3]", "input_unit": "m^3", "whole_number_input": false, "base_value": 2.78539, "edge_kind": "declared_limit", "direction": "up", "inside_value": 200.0, "inside_value_hex": "4069000000000000", "outside_value": 200.00000000000003, "outside_value_hex": "4069000000000001", "width": 2.842170943040401e-14, "adjacent_64_bit_numbers": true, "stop_name": "ShellVolumeOutOfRange", "stop_sentence": "Physical Violation: the volume of shell 3, 200.00000000000003 m^3, is outside 0.000001..=200 (ShellVolumeOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "15579694dd292b88cd24a26f4010e3b6ab8debc128d7abf28403646aeffb7cc7", "outside_proof": null, "inside_receipt": "3f1dc2efd78db0f5ab0e5de8e74b31efb10afd1c38ddaf2f6ab44af79fe68acc", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:47:05Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 200.0], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,200.0],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":5.067901966718478e17,\"thermal_dt_rate_per_s_hex\":\"439c21ebfec11a76\",\"beam_target_dt_rate_per_s\":1.3782033801231221e17,\"beam_target_dt_rate_per_s_hex\":\"437e9a2de020c529\",\"beam_beam_dt_rate_per_s\":7.257650712404063e15,\"beam_beam_dt_rate_per_s_hex\":\"4339c8cb7c9de05f\",\"dt_rate_per_s\":6.518681853965641e17,\"dt_rate_per_s_hex\":\"43a217cd525de1a1\",\"dt_fusion_power_w\":1.8370091873864252e6,\"dt_fusion_power_w_hex\":\"413c07d12ff88e88\",\"dd_neutron_rate_per_s\":1.8340406272223968e15,\"dd_neutron_rate_per_s_hex\":\"431a1033705b5df3\",\"dd_fusion_power_w\":2.09961030690541e3,\"dd_fusion_power_w_hex\":\"40a067387a258e85\",\"neutron_rate_per_s\":6.537022260237865e17,\"neutron_rate_per_s_hex\":\"43a224d56c160f50\",\"fast_ion_count\":1.148524084179004e19,\"fast_ion_count_hex\":\"43e3ec78b636d685\",\"fast_ion_energy_j\":1.2444664288453574e5,\"fast_ion_energy_j_hex\":\"40fe61ea49414b82\",\"fast_ion_energy_time_s\":1.0911055436104226e-1,\"fast_ion_energy_time_s_hex\":\"3fbbeeab56a10d23\",\"beam_power_to_electrons_w\":1.5332738781049429e5,\"beam_power_to_electrons_w_hex\":\"4102b77b1a3c6370\",\"beam_power_to_ions_w\":8.032228404453917e5,\"beam_power_to_ions_w_hex\":\"4128832dae4edbbf\",\"beam_power_thermalised_w\":1.8213116460742167e5,\"beam_power_thermalised_w_hex\":\"41063b99511db226\",\"beam_target_fused_fraction\":2.0376761701723974e-3,\"beam_target_fused_fraction_hex\":\"3f60b1511057e44c\",\"beam_beam_fused_fraction\":1.0687241406976119e-4,\"beam_beam_fused_fraction_hex\":\"3f1c041617d530c2\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-3.03831277429151e-2,\"charge_excess_min_hex\":\"bf9f1cc1300627a8\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,5.039772763669543e16,1.5573905858083818e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"431621c1029317f7\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.3071528604798281e-6,\"power_ledger_residual_hex\":\"beb5ee2dc4f5f8c2\"},\"field_sha256\":\"210370fa2d4fbfcbcbf230bf93cb8a7118ac5780255e611f546f5fccf295a45f\",\"seal_parts\":{\"inputs\":\"dea68cce0b6dea5baa11021c4b291ebe2d754656fd88fd6d1083c854ba77d71c\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"b5fffd2080976ebea8fddb66d387609bf5ab176aa5512f98ae20b73fba9d8ac6\",\"invariants\":\"30f1afff0f1315a06edfabde6213daaa5a1086f68f6d62a3c4540435f39b2c39\",\"field_sha256\":\"13bcd1c57aba9429d3f0f2517f746de1d08a6e0cfb4d4bd5167255a41faa1491\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"15579694dd292b88cd24a26f4010e3b6ab8debc128d7abf28403646aeffb7cc7\",\"receipt_sha256\":\"3f1dc2efd78db0f5ab0e5de8e74b31efb10afd1c38ddaf2f6ab44af79fe68acc\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 200.00000000000003], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: the volume of shell 3, 200.00000000000003 m^3, is outside 0.000001..=200 (ShellVolumeOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-666efaf60e19", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.electron_temperature_kev[0]", "input_unit": "keV", "whole_number_input": false, "base_value": 10.9616, "edge_kind": "declared_limit", "direction": "down", "inside_value": 1.4055639, "inside_value_hex": "3ff67d30926f02ed", "outside_value": 1.4055638999999998, "outside_value_hex": "3ff67d30926f02ec", "width": 2.220446049250313e-16, "adjacent_64_bit_numbers": true, "stop_name": "TemperatureRatioOutOfRange", "stop_sentence": "Physical Violation: the electron over ion temperature of shell 0, 0.07299999999999998, is outside 0.073..=2, the span of the slices compared (TemperatureRatioOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "224f0335ddeb8954a13eadbb7bf695cd414dcca3d58873fa4fd085808cf9b0ca", "outside_proof": null, "inside_receipt": "10c560420a20be523d217e5c6a1f7213d2b8c19fd24a045d45f66c8e49de9b31", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:47:07Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [1.4055639, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[1.4055639,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.283509312020634e17,\"beam_target_dt_rate_per_s_hex\":\"437c7fe7dece3bc2\",\"beam_beam_dt_rate_per_s\":6.162802117017086e15,\"beam_beam_dt_rate_per_s_hex\":\"4335e5092f017dfe\",\"dt_rate_per_s\":3.437176554811438e17,\"dt_rate_per_s_hex\":\"439314858bd7ef48\",\"dt_fusion_power_w\":9.686198914611293e5,\"dt_fusion_power_w_hex\":\"412d8f57c86d97d8\",\"dd_neutron_rate_per_s\":9.867568701461351e14,\"dd_neutron_rate_per_s_hex\":\"430c0b99e5cc42b9\",\"dd_fusion_power_w\":1.1132641906459041e3,\"dd_fusion_power_w_hex\":\"4091650e87fe2045\",\"neutron_rate_per_s\":3.447044123512899e17,\"neutron_rate_per_s_hex\":\"4393228b58cad569\",\"fast_ion_count\":1.0746330538760477e19,\"fast_ion_count_hex\":\"43e2a45456083803\",\"fast_ion_energy_j\":1.1567444305216758e5,\"fast_ion_energy_j_hex\":\"40fc3da716bddea3\",\"fast_ion_energy_time_s\":1.0141938998336125e-1,\"fast_ion_energy_time_s_hex\":\"3fb9f69f0328a78c\",\"beam_power_to_electrons_w\":1.8945522889391927e5,\"beam_power_to_electrons_w_hex\":\"41072079d4c655cc\",\"beam_power_to_ions_w\":7.67179174610387e5,\"beam_power_to_ions_w_hex\":\"412769965966885b\",\"beam_power_thermalised_w\":1.821751994553883e5,\"beam_power_thermalised_w_hex\":\"41063cf9987c110e\",\"beam_target_fused_fraction\":1.8975443798629277e-3,\"beam_target_fused_fraction_hex\":\"3f5f16e0c37856a4\",\"beam_beam_fused_fraction\":9.075023940655881e-5,\"beam_beam_fused_fraction_hex\":\"3f17ca253dcdca57\",\"fast_ion_fraction_max\":7.21034732970806e-2,\"fast_ion_fraction_max_hex\":\"3fb2755f8bbd2d2b\",\"charge_excess_max\":-4.338027550085284e-3,\"charge_excess_max_hex\":\"bf71c4c0674ee708\",\"charge_excess_min\":-8.952599478484115e-2,\"charge_excess_min_hex\":\"bfb6eb2cf3be2579\",\"dt_rate_density_per_m3_s\":[1.1421563598754746e17,1.760405019827982e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"43795c6840ad5454\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":2.396086801192965e-16,\"particle_ledger_residual_hex\":\"3cb1440000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.250418379136556e-6,\"power_ledger_residual_hex\":\"beb4fa818c2562c5\"},\"field_sha256\":\"b425e1dd15402409311e4e9a1733de720a3210fe8b220f04c684aee5a8e28733\",\"seal_parts\":{\"inputs\":\"49c782c9bcfe367065cae86f1d885d2fa90770378a95d6aa0bbe5742f94ac3a1\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"2ea308e926b18818d9c4a52d564a123807fa4b86768c73dda64f6585c60b74bc\",\"invariants\":\"678d629e26b16b0e1d437faa84ce528358582d3b147b956b8f3a936597acafad\",\"field_sha256\":\"d77c00bb9d6c0e85cdcf43ff4d00c6d152120d631d0072e5426c6264f68fb494\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"224f0335ddeb8954a13eadbb7bf695cd414dcca3d58873fa4fd085808cf9b0ca\",\"receipt_sha256\":\"10c560420a20be523d217e5c6a1f7213d2b8c19fd24a045d45f66c8e49de9b31\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [1.4055638999999998, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: the electron over ion temperature of shell 0, 0.07299999999999998, is outside 0.073..=2, the span of the slices compared (TemperatureRatioOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-a0b3bf66ee58", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.electron_temperature_kev[0]", "input_unit": "keV", "whole_number_input": false, "base_value": 10.9616, "edge_kind": "declared_limit", "direction": "up", "inside_value": 13.1, "inside_value_hex": "402a333333333333", "outside_value": 13.100000000000001, "outside_value_hex": "402a333333333334", "width": 1.7763568394002505e-15, "adjacent_64_bit_numbers": true, "stop_name": "ElectronTemperatureOutOfRange", "stop_sentence": "Physical Violation: the electron temperature of shell 0, 13.100000000000001 keV, is outside 0.199..=13.1 (ElectronTemperatureOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "09e80e4e76c5044f3156366709160bdcd5769fe29cdea52514712ff12fc95476", "outside_proof": null, "inside_receipt": "390809358f8a390e244007a828a549fe767f14d39abde54b9113d0b076ef25f7", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:47:09Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [13.1, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[13.1,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.382531713949751e17,\"beam_target_dt_rate_per_s_hex\":\"437eb2c86e211958\",\"beam_beam_dt_rate_per_s\":7.488693970013374e15,\"beam_beam_dt_rate_per_s_hex\":\"433a9aed6fea0cbe\",\"dt_rate_per_s\":3.549457875270518e17,\"dt_rate_per_s_hex\":\"4393b41540b048e8\",\"dt_fusion_power_w\":1.0002615364863011e6,\"dt_fusion_power_w_hex\":\"412e868b12ae551c\",\"dd_neutron_rate_per_s\":1.0121503832777392e15,\"dd_neutron_rate_per_s_hex\":\"430cc45d006fb55a\",\"dd_fusion_power_w\":1.14172087766584e3,\"dd_fusion_power_w_hex\":\"4091d6e22dc13ccc\",\"neutron_rate_per_s\":3.5595793791032954e17,\"neutron_rate_per_s_hex\":\"4393c2776f3080c3\",\"fast_ion_count\":1.1516298337419678e19,\"fast_ion_count_hex\":\"43e3fa438a4d2a4a\",\"fast_ion_energy_j\":1.2486448398167048e5,\"fast_ion_energy_j_hex\":\"40fe7c07be639069\",\"fast_ion_energy_time_s\":1.0947690312454807e-1,\"fast_ion_energy_time_s_hex\":\"3fbc06ada69658e9\",\"beam_power_to_electrons_w\":1.5161907918022014e5,\"beam_power_to_electrons_w_hex\":\"41028218a2293d40\",\"beam_power_to_ions_w\":8.049266504830031e5,\"beam_power_to_ions_w_hex\":\"4128907d4d0c1bb2\",\"beam_power_thermalised_w\":1.8212915259084365e5,\"beam_power_thermalised_w_hex\":\"41063b8938818c59\",\"beam_target_fused_fraction\":2.044078996529996e-3,\"beam_target_fused_fraction_hex\":\"3f60bebe8e18e0b2\",\"beam_beam_fused_fraction\":1.102746376919379e-4,\"beam_beam_fused_fraction_hex\":\"3f1ce867d99074fe\",\"fast_ion_fraction_max\":1.4014323660735248e-1,\"fast_ion_fraction_max_hex\":\"3fc1f036acfdf93f\",\"charge_excess_max\":1.2610342112987782e-2,\"charge_excess_max_hex\":\"3f89d37377bbb520\",\"charge_excess_min\":-1.8675557360200587e-2,\"charge_excess_min_hex\":\"bf931faf7062f3ec\",\"dt_rate_density_per_m3_s\":[1.7483222516170736e17,1.760405019827982e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"43836907dc206ffb\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.3127924392313062e-6,\"power_ledger_residual_hex\":\"beb606668d4230ce\"},\"field_sha256\":\"650d916373ec8d0f92db127e5af1442eaa680ad1b35a26ecf2492ef5e0254eb8\",\"seal_parts\":{\"inputs\":\"cc1e1bc4d41151d96040f957ac5c0278a6e4fd19f8df3bc1c94bfe2e779575c8\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"6d491da9d2b1c899d34c754cd1c7da50e55be963817c6b5d283e671c80422a0e\",\"invariants\":\"6535b3e10453c6cc73fbd57e796fd62c675ff47f3f92bec5f23ac726890d4cb2\",\"field_sha256\":\"15a62e0984e43cac737cbd2c001637b39c27e0d6e1f59cc2ab19a4e0d9d36cc9\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"09e80e4e76c5044f3156366709160bdcd5769fe29cdea52514712ff12fc95476\",\"receipt_sha256\":\"390809358f8a390e244007a828a549fe767f14d39abde54b9113d0b076ef25f7\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [13.100000000000001, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: the electron temperature of shell 0, 13.100000000000001 keV, is outside 0.199..=13.1 (ElectronTemperatureOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-6bd6cf0acc6c", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.electron_temperature_kev[1]", "input_unit": "keV", "whole_number_input": false, "base_value": 10.2851, "edge_kind": "declared_limit", "direction": "down", "inside_value": 1.3342648, "inside_value_hex": "3ff559260c034381", "outside_value": 1.3342647999999997, "outside_value_hex": "3ff559260c034380", "width": 2.220446049250313e-16, "adjacent_64_bit_numbers": true, "stop_name": "TemperatureRatioOutOfRange", "stop_sentence": "Physical Violation: the electron over ion temperature of shell 1, 0.07299999999999998, is outside 0.073..=2, the span of the slices compared (TemperatureRatioOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "45caca72d884c19bf52019aa9dda27a46a933319002a64498dcf0723171c0f99", "outside_proof": null, "inside_receipt": "50a20c2e3a11d709751b0cc8cba88d07e6362c5bc7518fd1ad234c9b033a0408", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:47:11Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 1.3342648, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,1.3342648,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":9.802028410106664e16,\"beam_target_dt_rate_per_s_hex\":\"4375c3cedd6a07f9\",\"beam_beam_dt_rate_per_s\":4.823371538637794e15,\"beam_beam_dt_rate_per_s_hex\":\"433122d4b32e23e2\",\"dt_rate_per_s\":3.1204757780176774e17,\"dt_rate_per_s_hex\":\"43915276798f94ed\",\"dt_fusion_power_w\":8.793714437448739e5,\"dt_fusion_power_w_hex\":\"412ad616e3328732\",\"dd_neutron_rate_per_s\":9.10539392652243e14,\"dd_neutron_rate_per_s_hex\":\"4309e10bc86c9e98\",\"dd_fusion_power_w\":1.0277324387934232e3,\"dd_fusion_power_w_hex\":\"40900eee046f604c\",\"neutron_rate_per_s\":3.1295811719442e17,\"neutron_rate_per_s_hex\":\"43915f66ff73cb3c\",\"fast_ion_count\":8.845974186716295e18,\"fast_ion_count_hex\":\"43deb0cda9e8dffc\",\"fast_ion_energy_j\":9.347003943845343e4,\"fast_ion_energy_j_hex\":\"40f6d1e0a18a373b\",\"fast_ion_energy_time_s\":8.195132936402783e-2,\"fast_ion_energy_time_s_hex\":\"3fb4fac3277b7308\",\"beam_power_to_electrons_w\":3.044450651075826e5,\"beam_power_to_electrons_w_hex\":\"411294f442ab8fe8\",\"beam_power_to_ions_w\":6.524697036000114e5,\"beam_power_to_ions_w_hex\":\"4123e96b683e42bd\",\"beam_power_thermalised_w\":1.8230684074150518e5,\"beam_power_thermalised_w_hex\":\"41064116b9d6aea9\",\"beam_target_fused_fraction\":1.4487491224425154e-3,\"beam_target_fused_fraction_hex\":\"3f57bc7e8676c5c8\",\"beam_beam_fused_fraction\":7.102647684719554e-5,\"beam_beam_fused_fraction_hex\":\"3f129e8194b19e04\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-5.608952461319517e-2,\"charge_excess_min_hex\":\"bfacb7c423b945c1\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.3886195619182507e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"437ed5636a3a12cb\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.0442047811197795e-6,\"power_ledger_residual_hex\":\"beb184d34c726479\"},\"field_sha256\":\"5ad089d367241426a077a072d312345e36cc6f8390a49495f9373aaa18d93ed9\",\"seal_parts\":{\"inputs\":\"abf6c96822cd9eac3113d5e0132cfc793a0d9a29dbb9fc4157235efe40e361e5\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"de677f7644074d16e1ddd21278b0db0dc52c45a1cbe6a279e547bb983eb8702c\",\"invariants\":\"3cfa2a38b6ec0de5604df1d6011cdc85225f22f8729d053b3d87862063db7960\",\"field_sha256\":\"0ab71ad02a12456ab97d4fab2413af70947448738f51e9f905e72d64902e95a4\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"45caca72d884c19bf52019aa9dda27a46a933319002a64498dcf0723171c0f99\",\"receipt_sha256\":\"50a20c2e3a11d709751b0cc8cba88d07e6362c5bc7518fd1ad234c9b033a0408\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 1.3342647999999997, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: the electron over ion temperature of shell 1, 0.07299999999999998, is outside 0.073..=2, the span of the slices compared (TemperatureRatioOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-77b24508414c", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.electron_temperature_kev[1]", "input_unit": "keV", "whole_number_input": false, "base_value": 10.2851, "edge_kind": "declared_limit", "direction": "up", "inside_value": 11.638417956415923, "inside_value_hex": "402746deb7e7f899", "outside_value": 11.638417956415925, "outside_value_hex": "402746deb7e7f89a", "width": 1.7763568394002505e-15, "adjacent_64_bit_numbers": true, "stop_name": "BeamChangeTooRecent", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "31cfc48791519366db81e12f48220b1fd22bfb07da5e7e285ab957fa1d002e56", "outside_proof": "929f95421c284093378591ed5a8dcb0bf122cd250978f626b4fe0af526bccfb8", "inside_receipt": "f812ee403c902b36b41ad2ca39b3f907306bd75496bca92753ab60716fea3415", "outside_receipt": "dd9ebd999670da5d7b58299f0d6a7673a8b3c43133d678e7f5e4b1b387164eb9", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:47:13Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 11.638417956415923, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,11.638417956415923,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.3916100383760718e17,\"beam_target_dt_rate_per_s_hex\":\"437ee66321853cd1\",\"beam_beam_dt_rate_per_s\":7.5315595330887e15,\"beam_beam_dt_rate_per_s_hex\":\"433ac1e9da930fbc\",\"dt_rate_per_s\":3.558964855327592e17,\"dt_rate_per_s_hex\":\"4393c197df33f5d2\",\"dt_fusion_power_w\":1.0029406685716504e6,\"dt_fusion_power_w_hex\":\"412e9b79564f05fb\",\"dd_neutron_rate_per_s\":1.0142453924452919e15,\"dd_neutron_rate_per_s_hex\":\"430cd39b42a77b5f\",\"dd_fusion_power_w\":1.1440701030125158e3,\"dd_fusion_power_w_hex\":\"4091e047c915886d\",\"neutron_rate_per_s\":3.569107309252045e17,\"neutron_rate_per_s_hex\":\"4393d001acd54990\",\"fast_ion_count\":1.1566388300600961e19,\"fast_ion_count_hex\":\"43e410821c18f1bd\",\"fast_ion_energy_j\":1.2552953833e5,\"fast_ion_energy_j_hex\":\"40fea5989cffeb07\",\"fast_ion_energy_time_s\":1.1005999999999999e-1,\"fast_ion_energy_time_s_hex\":\"3fbc2ce4649906cc\",\"beam_power_to_electrons_w\":1.4813549922086927e5,\"beam_power_to_electrons_w_hex\":\"4102153bfe6782d8\",\"beam_power_to_ions_w\":8.084004230623842e5,\"beam_power_to_ions_w_hex\":\"4128aba0d89ba201\",\"beam_power_thermalised_w\":1.8212524920257824e5,\"beam_power_thermalised_w_hex\":\"41063b69fe5debdd\",\"beam_target_fused_fraction\":2.0575066493023065e-3,\"beam_target_fused_fraction_hex\":\"3f60dae778a44c5f\",\"beam_beam_fused_fraction\":1.1090585382341831e-4,\"beam_beam_fused_fraction_hex\":\"3f1d12c40f78169e\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-1.8675557360200587e-2,\"charge_excess_min_hex\":\"bf931faf7062f3ec\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.7732726000160035e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"4383aff1a0ab1c1b\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.3255304540403224e-6,\"power_ledger_residual_hex\":\"beb63d1c25ae25d9\"},\"field_sha256\":\"bff43f65d7b3bdbf5c6dd9d675b92c51dcab0639bea777a6a0e0bd8eeaf9020d\",\"seal_parts\":{\"inputs\":\"8a918d95d66bb2d8f73b3386bb7046e9bb68a12f2372e79f985e917652ce79a0\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"00104fbf081ade81b8812cb94e3087fd3b9675a63aa7c48fb717c8bc108baa6a\",\"invariants\":\"2d8d058276561140579e5b98cf2038515f49dcf73e15e466be559860e5f074a3\",\"field_sha256\":\"5a09eaa76e7e1b22c289282a9ad3e6d3aa4ba8357556d9eeade7d30ecbdd8720\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"31cfc48791519366db81e12f48220b1fd22bfb07da5e7e285ab957fa1d002e56\",\"receipt_sha256\":\"f812ee403c902b36b41ad2ca39b3f907306bd75496bca92753ab60716fea3415\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 11.638417956415925, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,11.638417956415925,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"BeamChangeTooRecent\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"dd89eb8a05b123db6709f197af5ef5986c6fc1b5f217ed0a21a40dd7c17cee14\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"23c683add5c24deba84ac07dad766a5778ea93f386dafdd350dcf1a4833e550e\"},\"solution_seal\":\"929f95421c284093378591ed5a8dcb0bf122cd250978f626b4fe0af526bccfb8\",\"receipt_sha256\":\"dd9ebd999670da5d7b58299f0d6a7673a8b3c43133d678e7f5e4b1b387164eb9\"}", "outside_answer_is_error": false}
{"id": "edge-3695e9a4b9a0", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.electron_temperature_kev[2]", "input_unit": "keV", "whole_number_input": false, "base_value": 7.36622, "edge_kind": "declared_limit", "direction": "down", "inside_value": 0.58723609, "inside_value_hex": "3fe2caa3573296d6", "outside_value": 0.5872360899999999, "outside_value_hex": "3fe2caa3573296d5", "width": 1.1102230246251565e-16, "adjacent_64_bit_numbers": true, "stop_name": "TemperatureRatioOutOfRange", "stop_sentence": "Physical Violation: the electron over ion temperature of shell 2, 0.07299999999999998, is outside 0.073..=2, the span of the slices compared (TemperatureRatioOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "79029be0958ff2f9b977f1377659de8c3228ee67e6a5f985fb1b33caa220e625", "outside_proof": null, "inside_receipt": "a9985fb54ecaf9814caa8bc338444190734c89865f1c8c0c2cce7569c7642c1b", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:47:15Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 0.58723609, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,0.58723609,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":8.367086863374008e16,\"beam_target_dt_rate_per_s_hex\":\"43729423632f6633\",\"beam_beam_dt_rate_per_s\":4.367112573456412e15,\"beam_beam_dt_rate_per_s_hex\":\"432f07bb43452038\",\"dt_rate_per_s\":2.972419033692598e17,\"dt_rate_per_s_hex\":\"4390800fbebabe2c\",\"dt_fusion_power_w\":8.376480392786422e5,\"dt_fusion_power_w_hex\":\"41299020141c5487\",\"dd_neutron_rate_per_s\":9.195067399134509e14,\"dd_neutron_rate_per_s_hex\":\"430a224ac4cf1757\",\"dd_fusion_power_w\":1.036561150586775e3,\"dd_fusion_power_w_hex\":\"4090323e9e426952\",\"neutron_rate_per_s\":2.9816141010917325e17,\"neutron_rate_per_s_hex\":\"43908d20e41d25b8\",\"fast_ion_count\":6.977780324591395e18,\"fast_ion_count_hex\":\"43d835838f0ffeb8\",\"fast_ion_energy_j\":7.431070593094155e4,\"fast_ion_energy_j_hex\":\"40f2246b4b7e3e33\",\"fast_ion_energy_time_s\":6.515308192450218e-2,\"fast_ion_energy_time_s_hex\":\"3fb0addf54196eb7\",\"beam_power_to_electrons_w\":5.235884427755631e5,\"beam_power_to_electrons_w_hex\":\"411ff511c566f50c\",\"beam_power_to_ions_w\":4.336295111567395e5,\"beam_power_to_ions_w_hex\":\"411a77760b6cac1d\",\"beam_power_thermalised_w\":1.8223619464996e5,\"beam_power_thermalised_w_hex\":\"41063ee18ea4a363\",\"beam_target_fused_fraction\":1.2376732602285671e-3,\"beam_target_fused_fraction_hex\":\"3f54472d8b408f35\",\"beam_beam_fused_fraction\":6.430784309336016e-5,\"beam_beam_fused_fraction_hex\":\"3f10dba054f41075\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-5.583839925340687e-2,\"charge_excess_min_hex\":\"bfac96d9c54f0a05\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,2.3672366513435332e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"435506791541acb1\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.1462727468602996e-16,\"particle_ledger_residual_hex\":\"3ca0850000000000\",\"energy_ledger_residual\":1.5286806475334203e-6,\"energy_ledger_residual_hex\":\"3eb9a5a225a9999a\",\"power_ledger_residual\":-5.088008575727882e-7,\"power_ledger_residual_hex\":\"bea11290eb124256\"},\"field_sha256\":\"e63c829bbb04756c0cc6625b8a6c62dfe10d449d9924704db6a55e1def6599a8\",\"seal_parts\":{\"inputs\":\"d843c1b7a9a6f94e16a2245dfb9102885ecbbadf463ac6f4fdcce1c7cf352d19\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"82c7f6acfefd56817535d0bdf1ea9fb22e50893a3180a0201f99fae1e1f93843\",\"invariants\":\"a452d12bd25f5e886c722194cdf7ba7f28186d71cdc6fd26d0ee5a4715adcc61\",\"field_sha256\":\"af222489b6c52481234f9d7ce31b3a41aaae6158bbbbc39601eb99193f99fafa\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"79029be0958ff2f9b977f1377659de8c3228ee67e6a5f985fb1b33caa220e625\",\"receipt_sha256\":\"a9985fb54ecaf9814caa8bc338444190734c89865f1c8c0c2cce7569c7642c1b\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 0.5872360899999999, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: the electron over ion temperature of shell 2, 0.07299999999999998, is outside 0.073..=2, the span of the slices compared (TemperatureRatioOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-0c8944a76d47", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.electron_temperature_kev[2]", "input_unit": "keV", "whole_number_input": false, "base_value": 7.36622, "edge_kind": "declared_limit", "direction": "up", "inside_value": 7.8399003921489845, "inside_value_hex": "401f5c0ed930b5b9", "outside_value": 7.839900392148985, "outside_value_hex": "401f5c0ed930b5ba", "width": 8.881784197001252e-16, "adjacent_64_bit_numbers": true, "stop_name": "BeamChangeTooRecent", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "36d168a4886460829a6f2e28960745171a6f845736867b37934af1944bf66d51", "outside_proof": "e752e8529d9b47ae0d1c5a6cac379051c187a28f2885869aa73512104ddea99d", "inside_receipt": "ee8d3b9ec9f0d252ec109c6be93cd185005088d06c4e5d3e04d0bd652299031b", "outside_receipt": "3405d2d96b42c2f241bfa626fcc4f759f7bc35145d56ef538f0d3c5f1c022782", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:47:16Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.8399003921489845, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.8399003921489845,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.3902129707974672e17,\"beam_target_dt_rate_per_s_hex\":\"437ede72214a700a\",\"beam_beam_dt_rate_per_s\":7.500698449008902e15,\"beam_beam_dt_rate_per_s_hex\":\"433aa5d8729ed906\",\"dt_rate_per_s\":3.5572591769081894e17,\"dt_rate_per_s_hex\":\"4393bf2b598571c6\",\"dt_fusion_power_w\":1.002459996712314e6,\"dt_fusion_power_w_hex\":\"412e97b7fe511390\",\"dd_neutron_rate_per_s\":1.0128933095825708e15,\"dd_neutron_rate_per_s_hex\":\"430cc9c4cf4de756\",\"dd_fusion_power_w\":1.142576961463045e3,\"dd_fusion_power_w_hex\":\"4091da4ecefc5b53\",\"neutron_rate_per_s\":3.5673881100040154e17,\"neutron_rate_per_s_hex\":\"4393cd903bed18ba\",\"fast_ion_count\":1.1563169997499656e19,\"fast_ion_count_hex\":\"43e40f143b264d7d\",\"fast_ion_energy_j\":1.2552953833e5,\"fast_ion_energy_j_hex\":\"40fea5989cffeb07\",\"fast_ion_energy_time_s\":1.1005999999999999e-1,\"fast_ion_energy_time_s_hex\":\"3fbc2ce4649906cc\",\"beam_power_to_electrons_w\":1.4684957332297842e5,\"beam_power_to_electrons_w_hex\":\"4101ed0c962a5b93\",\"beam_power_to_ions_w\":8.096838879182092e5,\"beam_power_to_ions_w_hex\":\"4128b5a7c69d372c\",\"beam_power_thermalised_w\":1.8212883617464904e5,\"beam_power_thermalised_w_hex\":\"41063b86b07c559b\",\"beam_target_fused_fraction\":2.0554116004235182e-3,\"beam_target_fused_fraction_hex\":\"3f60d682b35100b4\",\"beam_beam_fused_fraction\":1.1045140944642715e-4,\"beam_beam_fused_fraction_hex\":\"3f1cf444c3f65e6d\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-1.8675557360200587e-2,\"charge_excess_min_hex\":\"bf931faf7062f3ec\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,5.100351633447678e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"4366a66db12d31be\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.2967057982926633e-16,\"particle_ledger_residual_hex\":\"3ca2b00000000000\",\"energy_ledger_residual\":2.0401963463534402e-6,\"energy_ledger_residual_hex\":\"3ec11d49cd89999a\",\"power_ledger_residual\":-1.331737829335358e-6,\"power_ledger_residual_hex\":\"beb657c53a7f32d6\"},\"field_sha256\":\"7d7a3352002953e1db66fc4a39cd71dc2a3414a4fd2419308f7b94422e4e2ef5\",\"seal_parts\":{\"inputs\":\"34c5dbc33820ce2a9b9b4dd13723ae679b3b465fd7d8619890bfb4a2cb52630f\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"15c549171f218aea40782a37375997f09c831da95388b9ad55387d93aa49fe5d\",\"invariants\":\"1a09af000bcb076bac143e18dda3f9746ebd366859bbbc3f1d1676daf3f779b0\",\"field_sha256\":\"7d3ae13b6f0156a8f918156cdd95adebd038d2103274d7e17723487895701bb3\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"36d168a4886460829a6f2e28960745171a6f845736867b37934af1944bf66d51\",\"receipt_sha256\":\"ee8d3b9ec9f0d252ec109c6be93cd185005088d06c4e5d3e04d0bd652299031b\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.839900392148985, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.839900392148985,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"BeamChangeTooRecent\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"c6db059744c023bb98ecb81818ffa49feb4155f9d31886ab576d02c93b1061da\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"23c683add5c24deba84ac07dad766a5778ea93f386dafdd350dcf1a4833e550e\"},\"solution_seal\":\"e752e8529d9b47ae0d1c5a6cac379051c187a28f2885869aa73512104ddea99d\",\"receipt_sha256\":\"3405d2d96b42c2f241bfa626fcc4f759f7bc35145d56ef538f0d3c5f1c022782\"}", "outside_answer_is_error": false}
{"id": "edge-ce3727fbb31d", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.electron_temperature_kev[3]", "input_unit": "keV", "whole_number_input": false, "base_value": 4.37061, "edge_kind": "declared_limit", "direction": "down", "inside_value": 0.31905453, "inside_value_hex": "3fd46b63b0ff66d3", "outside_value": 0.31905452999999995, "outside_value_hex": "3fd46b63b0ff66d2", "width": 5.551115123125783e-17, "adjacent_64_bit_numbers": true, "stop_name": "TemperatureRatioOutOfRange", "stop_sentence": "Physical Violation: the electron over ion temperature of shell 3, 0.07299999999999998, is outside 0.073..=2, the span of the slices compared (TemperatureRatioOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "f06fefdf4180dfc8d7b398dbf5ff5eee493d10c8961adb21f8b5a733f88c73a6", "outside_proof": null, "inside_receipt": "b28c6dde618fc9f47fb1ab5c673d34aec91c196993e20046b37495676aaf85da", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:47:18Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 0.31905453], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,0.31905453],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.2874218432362883e17,\"beam_target_dt_rate_per_s_hex\":\"437c96255a437bf2\",\"beam_beam_dt_rate_per_s\":7.25688261790842e15,\"beam_beam_dt_rate_per_s_hex\":\"4339c818a69dfcc4\",\"dt_rate_per_s\":3.452029891036006e17,\"dt_rate_per_s_hex\":\"439329a12893b14f\",\"dt_fusion_power_w\":9.728056633271503e5,\"dt_fusion_power_w_hex\":\"412db00b539f9dc2\",\"dd_neutron_rate_per_s\":9.992074553144156e14,\"dd_neutron_rate_per_s_hex\":\"430c6630eb728f7d\",\"dd_fusion_power_w\":1.1269635454327597e3,\"dd_fusion_power_w_hex\":\"40919bdaaba767a7\",\"neutron_rate_per_s\":3.46202196558915e17,\"neutron_rate_per_s_hex\":\"439337d441096a97\",\"fast_ion_count\":1.0264736144642327e19,\"fast_ion_count_hex\":\"43e1ce75646fd098\",\"fast_ion_energy_j\":1.1170927757258287e5,\"fast_ion_energy_j_hex\":\"40fb45d470eff2db\",\"fast_ion_energy_time_s\":9.794286869212666e-2,\"fast_ion_energy_time_s_hex\":\"3fb912c8a9e8bb31\",\"beam_power_to_electrons_w\":2.4462496067265543e5,\"beam_power_to_electrons_w_hex\":\"410ddc87af75252a\",\"beam_power_to_ions_w\":7.120428289176392e5,\"beam_power_to_ions_w_hex\":\"4125bad5a867e48f\",\"beam_power_thermalised_w\":1.8214072454387863e5,\"beam_power_thermalised_w_hex\":\"41063be5cbdda93a\",\"beam_target_fused_fraction\":1.9036527014018247e-3,\"beam_target_fused_fraction_hex\":\"3f5f307f861c1062\",\"beam_beam_fused_fraction\":1.0686110350712378e-4,\"beam_beam_fused_fraction_hex\":\"3f1c0353c773c54a\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-2.9223001263616353e-2,\"charge_excess_min_hex\":\"bf9deca26adf6f89\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,5.039772763669543e16,1.7279163308236438e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"43188e1f7c66bf6f\"]},\"invariants\":{\"particle_ledger_residual\":1.6890514594608552e-16,\"particle_ledger_residual_hex\":\"3ca8578000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.163180380814698e-6,\"power_ledger_residual_hex\":\"beb383d25a99a0c0\"},\"field_sha256\":\"11222ec273aa3fb055634fdf43dee0bd4b49b41ccbca339edbc3cbf67e9176bd\",\"seal_parts\":{\"inputs\":\"8cafb0e2a65201fbc27ec231faca42d75cefd0b8959743f0292fe43f76b48064\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"808b5c3101211fe9439aa5bc900a4896508bbe5103dd602f9d4a7de0affc2c30\",\"invariants\":\"9f165fcbb94235066b54b65e25ea730a9c1d4b711882ed7f9ff3c163ede95696\",\"field_sha256\":\"df30ac9d26fe4e873373a5b67e1f5ec21233a222cb21eeada8fa5d4db83f2a1e\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"f06fefdf4180dfc8d7b398dbf5ff5eee493d10c8961adb21f8b5a733f88c73a6\",\"receipt_sha256\":\"b28c6dde618fc9f47fb1ab5c673d34aec91c196993e20046b37495676aaf85da\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 0.31905452999999995], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: the electron over ion temperature of shell 3, 0.07299999999999998, is outside 0.073..=2, the span of the slices compared (TemperatureRatioOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-9c1ec63d8fef", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.electron_temperature_kev[3]", "input_unit": "keV", "whole_number_input": false, "base_value": 4.37061, "edge_kind": "declared_limit", "direction": "up", "inside_value": 5.115744552660795, "inside_value_hex": "40147685bd71791a", "outside_value": 5.115744552660796, "outside_value_hex": "40147685bd71791b", "width": 8.881784197001252e-16, "adjacent_64_bit_numbers": true, "stop_name": "BeamChangeTooRecent", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "a1bd7a5ca5e2f6696e80b50888bf5f5c67d3a065b284a34a7452216cc811c612", "outside_proof": "2faf36bbd7078d881971a90bc0ec3548611ff64a3d120f3e6bc1fc0438331f53", "inside_receipt": "615d7497ee5608acf6a490539ba7e73738b773ab182fc3b809942f4a611cf4eb", "outside_receipt": "63a3d513cb34fb0b59f998031474c1c6d59d8f4018c1c9b94736f31ca366c26b", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:47:20Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 5.115744552660795], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,5.115744552660795],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.3864656879547112e17,\"beam_target_dt_rate_per_s_hex\":\"437ec9251da617d1\",\"beam_beam_dt_rate_per_s\":7.425244384527537e15,\"beam_beam_dt_rate_per_s_hex\":\"433a61386de904b1\",\"dt_rate_per_s\":3.5527573534206195e17,\"dt_rate_per_s_hex\":\"4393b8c598898466\",\"dt_fusion_power_w\":1.0011913520243351e6,\"dt_fusion_power_w_hex\":\"412e8dceb43c889d\",\"dd_neutron_rate_per_s\":1.0120953587803389e15,\"dd_neutron_rate_per_s_hex\":\"430cc3f682b61d97\",\"dd_fusion_power_w\":1.1416792610532054e3,\"dd_fusion_power_w_hex\":\"4091d6b79035a3db\",\"neutron_rate_per_s\":3.562878307008423e17,\"neutron_rate_per_s_hex\":\"4393c72793cadf75\",\"fast_ion_count\":1.156723436800833e19,\"fast_ion_count_hex\":\"43e410e24be65a73\",\"fast_ion_energy_j\":1.2552953833e5,\"fast_ion_energy_j_hex\":\"40fea5989cffeb07\",\"fast_ion_energy_time_s\":1.1005999999999999e-1,\"fast_ion_energy_time_s_hex\":\"3fbc2ce4649906cc\",\"beam_power_to_electrons_w\":1.4759513416636427e5,\"beam_power_to_electrons_w_hex\":\"4102045912c5d096\",\"beam_power_to_ions_w\":8.089433680811117e5,\"beam_power_to_ions_w_hex\":\"4128afdebc7520a2\",\"beam_power_thermalised_w\":1.8213029475623163e5,\"beam_power_thermalised_w_hex\":\"41063b925ba927b9\",\"beam_target_fused_fraction\":2.049870861458232e-3,\"beam_target_fused_fraction_hex\":\"3f60cae409f399dd\",\"beam_beam_fused_fraction\":1.0934031188303563e-4,\"beam_beam_fused_fraction_hex\":\"3f1ca9b4413340d6\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-1.7966979900194403e-2,\"charge_excess_min_hex\":\"bf9265ef9c51202d\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,5.039772763669543e16,5.344194926805322e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"4332fc845839014a\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.3238801814838872e-6,\"power_ledger_residual_hex\":\"beb63605a740396c\"},\"field_sha256\":\"0304fd0e9f76b262b9c1f6a22b4e8c0283615442248439a46c2932f45366d8ee\",\"seal_parts\":{\"inputs\":\"4125e9bce2559838cbae6e11d60042e0592adf44476f979c486f3548db215a27\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"119845032bed708b41ee4fef433c402146d9839fab42e1cf0cdfd47149841d65\",\"invariants\":\"a068dbe1d3e23d438099cadd276725c7afb0f1129f792dba52c0c7def8c83f0f\",\"field_sha256\":\"300064b88ffeadd87a0eb60d4076b1e396e39f966dc8355a88dac0077a56d873\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"a1bd7a5ca5e2f6696e80b50888bf5f5c67d3a065b284a34a7452216cc811c612\",\"receipt_sha256\":\"615d7497ee5608acf6a490539ba7e73738b773ab182fc3b809942f4a611cf4eb\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 5.115744552660796], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,5.115744552660796],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"BeamChangeTooRecent\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"220db709914ac5e19db2ae6d66416179315052677fe7bab8a264f966e795eec1\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"23c683add5c24deba84ac07dad766a5778ea93f386dafdd350dcf1a4833e550e\"},\"solution_seal\":\"2faf36bbd7078d881971a90bc0ec3548611ff64a3d120f3e6bc1fc0438331f53\",\"receipt_sha256\":\"63a3d513cb34fb0b59f998031474c1c6d59d8f4018c1c9b94736f31ca366c26b\"}", "outside_answer_is_error": false}
{"id": "edge-a3cbbe3e89aa", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.ion_temperature_kev[0]", "input_unit": "keV", "whole_number_input": false, "base_value": 19.2543, "edge_kind": "declared_limit", "direction": "down", "inside_value": 5.4808, "inside_value_hex": "4015ec56d5cfaace", "outside_value": 5.4807999999999995, "outside_value_hex": "4015ec56d5cfaacd", "width": 8.881784197001252e-16, "adjacent_64_bit_numbers": true, "stop_name": "TemperatureRatioOutOfRange", "stop_sentence": "Physical Violation: the electron over ion temperature of shell 0, 2.0000000000000004, is outside 0.073..=2, the span of the slices compared (TemperatureRatioOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "cbcec96a9ccd5265e0221457818c12cc4ba482faa8df13626bc282875a0642ab", "outside_proof": null, "inside_receipt": "1575cd1f2e97ecf15cc198ef33dc64c6b12740d0815d40363cd273c75acfc3b6", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:47:22Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [5.4808, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[5.4808,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"thermal_dt_rate_per_s\":1.9234024803287165e17,\"thermal_dt_rate_per_s_hex\":\"43855aa37e001427\",\"beam_target_dt_rate_per_s\":1.3445798873210408e17,\"beam_target_dt_rate_per_s_hex\":\"437ddb0d40f972d9\",\"beam_beam_dt_rate_per_s\":7.305632190880814e15,\"beam_beam_dt_rate_per_s_hex\":\"4339f46f0b98dc2e\",\"dt_rate_per_s\":3.341038689558566e17,\"dt_rate_per_s_hex\":\"43928be6cb6cca3b\",\"dt_fusion_power_w\":9.415275826659385e5,\"dt_fusion_power_w_hex\":\"412cbbaf2a53309d\",\"dd_neutron_rate_per_s\":9.321544374197332e14,\"dd_neutron_rate_per_s_hex\":\"430a7e50f0f216aa\",\"dd_fusion_power_w\":1.052471669729881e3,\"dd_fusion_power_w_hex\":\"409071e2fd63c168\",\"neutron_rate_per_s\":3.350360233932763e17,\"neutron_rate_per_s_hex\":\"43929925f3e54346\",\"fast_ion_count\":1.14687487172165e19,\"fast_ion_count_hex\":\"43e3e525c6377d01\",\"fast_ion_energy_j\":1.2343997270810671e5,\"fast_ion_energy_j_hex\":\"40fe22ff9036602e\",\"fast_ion_energy_time_s\":1.0822794042736782e-1,\"fast_ion_energy_time_s_hex\":\"3fbbb4d388a6239f\",\"beam_power_to_electrons_w\":1.5257131461403766e5,\"beam_power_to_electrons_w_hex\":\"41029fda84545d55\",\"beam_power_to_ions_w\":8.19188552507148e5,\"beam_power_to_ions_w_hex\":\"4128ffe91ae23787\",\"beam_power_thermalised_w\":1.6694792012260592e5,\"beam_power_thermalised_w_hex\":\"4104611f5c693da6\",\"beam_target_fused_fraction\":1.9876637508613897e-3,\"beam_target_fused_fraction_hex\":\"3f60486ed9c5ca65\",\"beam_beam_fused_fraction\":1.0757896452784296e-4,\"beam_beam_fused_fraction_hex\":\"3f1c3380899c1fd5\",\"fast_ion_fraction_max\":1.3383577279277148e-1,\"fast_ion_fraction_max_hex\":\"3fc12187d5970500\",\"charge_excess_max\":6.302878298406874e-3,\"charge_excess_max_hex\":\"3f79d10c0298e2c9\",\"charge_excess_min\":-1.8675557360200587e-2,\"charge_excess_min_hex\":\"bf931faf7062f3ec\",\"dt_rate_density_per_m3_s\":[6.231430940635605e16,1.760405019827982e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"436bac511892de4a\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.3487475025719675e-16,\"particle_ledger_residual_hex\":\"3ca3700000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.294715695585641e-6,\"power_ledger_residual_hex\":\"beb5b8c2f6430b2a\"},\"field_sha256\":\"874384066499aff4f96751206d8d3b0d7c39926ffbe855c3e0c605ba59d4ea20\",\"seal_parts\":{\"inputs\":\"7457f467d9f5f453443bbb04afc705d18fd48e00cec8684220fd65c006ee3f32\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"be47466a0267b3590409b33ad1deda7d105f586e518c5053dd1908bd0f3bae0c\",\"invariants\":\"3d832f74973a3c9317bfa362b17fcb8ef0419fe7a1fff2953fc2bb8f74e12204\",\"field_sha256\":\"3257b218b39d8a512ab312facf970de10e4f73242531639326e63d869583160e\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"cbcec96a9ccd5265e0221457818c12cc4ba482faa8df13626bc282875a0642ab\",\"receipt_sha256\":\"1575cd1f2e97ecf15cc198ef33dc64c6b12740d0815d40363cd273c75acfc3b6\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [5.4807999999999995, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: the electron over ion temperature of shell 0, 2.0000000000000004, is outside 0.073..=2, the span of the slices compared (TemperatureRatioOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-156fa7b4b7b4", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.ion_temperature_kev[0]", "input_unit": "keV", "whole_number_input": false, "base_value": 19.2543, "edge_kind": "declared_limit", "direction": "up", "inside_value": 41.8, "inside_value_hex": "4044e66666666666", "outside_value": 41.800000000000004, "outside_value_hex": "4044e66666666667", "width": 7.105427357601002e-15, "adjacent_64_bit_numbers": true, "stop_name": "IonTemperatureOutOfRange", "stop_sentence": "Physical Violation: the ion temperature of shell 0, 41.800000000000004 keV, is outside 0.224..=41.8 (IonTemperatureOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "5f94356269a43a483f9d4dfcf7715b8bf0ac6afdaa6614331c640988512b015c", "outside_proof": null, "inside_receipt": "cbfda41d3602dc20912f68b716d3eb8834a4ee5b8c31d18153698be8d6a8d251", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:47:24Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [41.8, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[41.8,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.266193132585632e17,\"thermal_dt_rate_per_s_hex\":\"438928e884902834\",\"beam_target_dt_rate_per_s\":1.369506431810144e17,\"beam_target_dt_rate_per_s_hex\":\"437e68be26690cd8\",\"beam_beam_dt_rate_per_s\":6.700715750678196e15,\"beam_beam_dt_rate_per_s_hex\":\"4337ce43f60f5eb4\",\"dt_rate_per_s\":3.702706721902558e17,\"dt_rate_per_s_hex\":\"43948ddcdbba94cb\",\"dt_fusion_power_w\":1.0434481109389518e6,\"dt_fusion_power_w_hex\":\"412fd7f038ccfd84\",\"dd_neutron_rate_per_s\":1.1821132040414398e15,\"dd_neutron_rate_per_s_hex\":\"4310cc80b671db7f\",\"dd_fusion_power_w\":1.3244996636373908e3,\"dd_fusion_power_w_hex\":\"4094b1ffa7d31660\",\"neutron_rate_per_s\":3.714527853942972e17,\"neutron_rate_per_s_hex\":\"43949ea95c7106a6\",\"fast_ion_count\":1.1236501749312969e19,\"fast_ion_count_hex\":\"43e37e0259d6bb5b\",\"fast_ion_energy_j\":1.2435100539456973e5,\"fast_ion_energy_j_hex\":\"40fe5bf016189dc9\",\"fast_ion_energy_time_s\":1.0902670268528776e-1,\"fast_ion_energy_time_s_hex\":\"3fbbe92c8a6c8cfd\",\"beam_power_to_electrons_w\":1.5343889077898292e5,\"beam_power_to_electrons_w_hex\":\"4102baf72050bb3d\",\"beam_power_to_ions_w\":7.782261611666108e5,\"beam_power_to_ions_w_hex\":\"4127bfe452846e15\",\"beam_power_thermalised_w\":2.0700048861716216e5,\"beam_power_thermalised_w_hex\":\"410944c3e8b01d5e\",\"beam_target_fused_fraction\":2.0249157719962638e-3,\"beam_target_fused_fraction_hex\":\"3f60968e60927607\",\"beam_beam_fused_fraction\":9.867127761416323e-5,\"beam_beam_fused_fraction_hex\":\"3f19ddb7a441d43e\",\"fast_ion_fraction_max\":1.0302817980173828e-1,\"fast_ion_fraction_max_hex\":\"3fba600e06d09b90\",\"charge_excess_max\":-4.338027550085284e-3,\"charge_excess_max_hex\":\"bf71c4c0674ee708\",\"charge_excess_min\":-2.45047146926264e-2,\"charge_excess_min_hex\":\"bf9917c390cf8125\",\"dt_rate_density_per_m3_s\":[2.575656873237744e17,1.760405019827982e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438c9875061a1a6e\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.491862189340054e-16,\"particle_ledger_residual_hex\":\"3ca5800000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.2101691670642942e-6,\"power_ledger_residual_hex\":\"beb44da3121d894b\"},\"field_sha256\":\"358729699194ec0ee8d515cd66823ead8f70d2c63b9ba754060620033d84d158\",\"seal_parts\":{\"inputs\":\"7623fd5c9b95013956956ae3a7118b20c114e48d4599d69fb666832a981551fe\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"64c7e481f631db04b688ed508bf406ee77a801a59292b2fea69252b52dbda2e7\",\"invariants\":\"d681373df5c5cd249d971142d81d26a596359b88ed423d957c645b6de09867dc\",\"field_sha256\":\"35e25c202e25634a6184a5324b0c8e36c2c2dae31ea89c5d5307b2999a57c5ff\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"5f94356269a43a483f9d4dfcf7715b8bf0ac6afdaa6614331c640988512b015c\",\"receipt_sha256\":\"cbfda41d3602dc20912f68b716d3eb8834a4ee5b8c31d18153698be8d6a8d251\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [41.800000000000004, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: the ion temperature of shell 0, 41.800000000000004 keV, is outside 0.224..=41.8 (IonTemperatureOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-0eff974a1b8f", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.ion_temperature_kev[1]", "input_unit": "keV", "whole_number_input": false, "base_value": 18.2776, "edge_kind": "declared_limit", "direction": "down", "inside_value": 5.14255, "inside_value_hex": "401491f8a0902de0", "outside_value": 5.142549999999999, "outside_value_hex": "401491f8a0902ddf", "width": 8.881784197001252e-16, "adjacent_64_bit_numbers": true, "stop_name": "TemperatureRatioOutOfRange", "stop_sentence": "Physical Violation: the electron over ion temperature of shell 1, 2.0000000000000004, is outside 0.073..=2, the span of the slices compared (TemperatureRatioOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "9a7139ff5493c4274e39ff7b635b53b22bb2890c971cf2f41c63107889640b4a", "outside_proof": null, "inside_receipt": "9e60e050e2a4f25be8a22004435ac54fc31d73b15a1b61386077cdcf844a3814", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:47:26Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 5.14255, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,5.14255,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"thermal_dt_rate_per_s\":7.107741715623157e16,\"thermal_dt_rate_per_s_hex\":\"436f90911924c832\",\"beam_target_dt_rate_per_s\":1.2368371844378026e17,\"beam_target_dt_rate_per_s_hex\":\"437b769afc65748a\",\"beam_beam_dt_rate_per_s\":7.154705413614564e15,\"beam_beam_dt_rate_per_s_hex\":\"43396b2aaaa6abe4\",\"dt_rate_per_s\":2.019158410136264e17,\"dt_rate_per_s_hex\":\"43866acb19d121b1\",\"dt_fusion_power_w\":5.690126674846672e5,\"dt_fusion_power_w_hex\":\"41215d6955c08ce0\",\"dd_neutron_rate_per_s\":4.3915243082243975e14,\"dd_neutron_rate_per_s_hex\":\"42f8f6824a43427c\",\"dd_fusion_power_w\":5.004857825414031e2,\"dd_fusion_power_w_hex\":\"407f47c5c3ea04b5\",\"neutron_rate_per_s\":2.0235499344444883e17,\"neutron_rate_per_s_hex\":\"438677465af64352\",\"fast_ion_count\":1.1392049766546835e19,\"fast_ion_count_hex\":\"43e3c3161cf5d311\",\"fast_ion_energy_j\":1.209368861021723e5,\"fast_ion_energy_j_hex\":\"40fd868e2d7978af\",\"fast_ion_energy_time_s\":1.060333198184326e-1,\"fast_ion_energy_time_s_hex\":\"3fbb24ffe8e80edb\",\"beam_power_to_electrons_w\":1.5022819128894628e5,\"beam_power_to_electrons_w_hex\":\"410256a187c27fc3\",\"beam_power_to_ions_w\":8.662683663197546e5,\"beam_power_to_ions_w_hex\":\"412a6fb8bb8e434c\",\"beam_power_thermalised_w\":1.2229247209625982e5,\"beam_power_thermalised_w_hex\":\"40fddb478db4cec8\",\"beam_target_fused_fraction\":1.8274491472331455e-3,\"beam_target_fused_fraction_hex\":\"3f5df0e094a356e6\",\"beam_beam_fused_fraction\":1.0535649479577862e-4,\"beam_beam_fused_fraction_hex\":\"3f1b9e5acc5bd522\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-1.8675557360200587e-2,\"charge_excess_min_hex\":\"bf931faf7062f3ec\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,4.225177970480679e16,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"4362c378a20ddbb1\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":3.712308238590367e-16,\"particle_ledger_residual_hex\":\"3cbac00000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.214467558472862e-6,\"power_ledger_residual_hex\":\"beb4601933bcabc7\"},\"field_sha256\":\"37cf6d07e08e0020e4da367ef79cb4ae8676ee94e0cb5dbc81179066f009b2bd\",\"seal_parts\":{\"inputs\":\"38ee97e9a6ffee92714343e885884966169b5c8a09ca68d18dae97e099e1b4f2\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"ca0b71c28a07a2348bca0d691b32e3eda21c002ec9776844bfd4c5a921184f58\",\"invariants\":\"6bb0c0e22c40587598f2db346067ceb3da853f8b749983f17b74b942007efeac\",\"field_sha256\":\"b0f8b6447b68d90382deb939978028f76107d2d338536d2b8905c5a45783fda6\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"9a7139ff5493c4274e39ff7b635b53b22bb2890c971cf2f41c63107889640b4a\",\"receipt_sha256\":\"9e60e050e2a4f25be8a22004435ac54fc31d73b15a1b61386077cdcf844a3814\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 5.142549999999999, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: the electron over ion temperature of shell 1, 2.0000000000000004, is outside 0.073..=2, the span of the slices compared (TemperatureRatioOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-1532a553fe76", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.ion_temperature_kev[1]", "input_unit": "keV", "whole_number_input": false, "base_value": 18.2776, "edge_kind": "declared_limit", "direction": "up", "inside_value": 21.592080106595823, "inside_value_hex": "403597928fd670f6", "outside_value": 21.592080106595827, "outside_value_hex": "403597928fd670f7", "width": 3.552713678800501e-15, "adjacent_64_bit_numbers": true, "stop_name": "BeamChangeTooRecent", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "07254dd366be5bbd9061a9a47f990f6c368358290a099935744f7abdeaf3ffe3", "outside_proof": "ea8e70e9be47f1bcef5e6d067bbead38877dc5725ad43d3911708ac1d3d6c631", "inside_receipt": "13d11559d36d29c43d475a3ac6844c4160e4ba4b2b413a574aa6e8a125d0c4d8", "outside_receipt": "3a70471745d16e92ffb9edde1b78f230867e9402775a41960e5658a3a834c37d", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:47:28Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 21.592080106595823, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,21.592080106595823,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.461893182789843e17,\"thermal_dt_rate_per_s_hex\":\"438b551f0b7c1d93\",\"beam_target_dt_rate_per_s\":1.4052730337605466e17,\"beam_target_dt_rate_per_s_hex\":\"437f340d67ef9298\",\"beam_beam_dt_rate_per_s\":7.38727452179035e15,\"beam_beam_dt_rate_per_s_hex\":\"433a3eafe1bac78e\",\"dt_rate_per_s\":3.941038961768293e17,\"dt_rate_per_s_hex\":\"4395e08d9f40de8e\",\"dt_fusion_power_w\":1.1106117682690597e6,\"dt_fusion_power_w_hex\":\"4130f253c4ad47f6\",\"dd_neutron_rate_per_s\":1.220099231174938e15,\"dd_neutron_rate_per_s_hex\":\"431156b1f50f4468\",\"dd_fusion_power_w\":1.3699979527674063e3,\"dd_fusion_power_w_hex\":\"409567fde7548bda\",\"neutron_rate_per_s\":3.953239954080042e17,\"neutron_rate_per_s_hex\":\"4395f1e45135edd2\",\"fast_ion_count\":1.1459240782453078e19,\"fast_ion_count_hex\":\"43e3e0ecd8e5391f\",\"fast_ion_energy_j\":1.2552953833e5,\"fast_ion_energy_j_hex\":\"40fea5989cffeb07\",\"fast_ion_energy_time_s\":1.1005999999999999e-1,\"fast_ion_energy_time_s_hex\":\"3fbc2ce4649906cc\",\"beam_power_to_electrons_w\":1.5435134128888365e5,\"beam_power_to_electrons_w_hex\":\"4102d77abaf5aa8e\",\"beam_power_to_ions_w\":7.87075574104397e5,\"beam_power_to_ions_w_hex\":\"4128050725f102f3\",\"beam_power_thermalised_w\":1.972210034568566e5,\"beam_power_thermalised_w_hex\":\"4108132807146370\",\"beam_target_fused_fraction\":2.0780437542582343e-3,\"beam_target_fused_fraction_hex\":\"3f6105f93edab1f1\",\"beam_beam_fused_fraction\":1.0878118730492866e-4,\"beam_beam_fused_fraction_hex\":\"3f1c842e914cd966\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-1.8675557360200587e-2,\"charge_excess_min_hex\":\"bf931faf7062f3ec\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,2.108437085121359e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43876889e2e7ef57\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.1937325944562513e-6,\"power_ledger_residual_hex\":\"beb4070ade392bc8\"},\"field_sha256\":\"0a197fd9447b4f7c779ffad088b877ffa45f9e5b1bd54bab023367f8804693bd\",\"seal_parts\":{\"inputs\":\"fdb05d05c6498d4149002e0ab275347b5d9ac2cc0eb2e0dcd661949fbe560f78\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"128f9f17cf339c84312252bdbd39bf4ecd4419f81e4573b1d8a55b8735848dea\",\"invariants\":\"7f44e21933956e89d738ba1ebd5f8d6ddb618e0827799c35127bcca1bbd82452\",\"field_sha256\":\"85b0951fd3eae0b0644c038334551a51497dacd20725d32961c6259650d4fae0\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"07254dd366be5bbd9061a9a47f990f6c368358290a099935744f7abdeaf3ffe3\",\"receipt_sha256\":\"13d11559d36d29c43d475a3ac6844c4160e4ba4b2b413a574aa6e8a125d0c4d8\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 21.592080106595827, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,21.592080106595827,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"BeamChangeTooRecent\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"eec436100dfdc3454da10a6f1eb9b5d5337f61258f1764d8ac47284ba1535550\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"23c683add5c24deba84ac07dad766a5778ea93f386dafdd350dcf1a4833e550e\"},\"solution_seal\":\"ea8e70e9be47f1bcef5e6d067bbead38877dc5725ad43d3911708ac1d3d6c631\",\"receipt_sha256\":\"3a70471745d16e92ffb9edde1b78f230867e9402775a41960e5658a3a834c37d\"}", "outside_answer_is_error": false}
{"id": "edge-c966157d5d1b", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.ion_temperature_kev[1]", "input_unit": "keV", "whole_number_input": false, "base_value": 18.2776, "edge_kind": "declared_limit", "direction": "down", "inside_value": 40.15546554429863, "inside_value_hex": "404413e64b82356f", "outside_value": 40.15546554429862, "outside_value_hex": "404413e64b82356e", "width": 7.105427357601002e-15, "adjacent_64_bit_numbers": true, "stop_name": "BeamChangeTooRecent", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "56d300ca1435c4e600c78e5e69413e528c550cd6e0679f77b46fd6550c1cdc25", "outside_proof": "5a5d88e5f5c5400f8ef9e1dfa2950af90f93b068f88833c1b682c6151fd9f70e", "inside_receipt": "aa445e39055e556d6e8c696a3e11e667483fe9bf204453452a4a9ebda631d762", "outside_receipt": "cedec456b71953afcd34eaacb0d77369c63809ec2ca3214f87ac4fe369b90e2c", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:47:29Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 40.15546554429863, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,40.15546554429863,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":3.681267776374594e17,\"thermal_dt_rate_per_s_hex\":\"43946f656a558f57\",\"beam_target_dt_rate_per_s\":1.3728975301876054e17,\"beam_target_dt_rate_per_s_hex\":\"437e7c04d8ffbfd6\",\"beam_beam_dt_rate_per_s\":6.137157739742892e15,\"beam_beam_dt_rate_per_s_hex\":\"4335cdb6630206ac\",\"dt_rate_per_s\":5.115536883959628e17,\"dt_rate_per_s_hex\":\"439c659d7a218767\",\"dt_fusion_power_w\":1.441593325885527e6,\"dt_fusion_power_w_hex\":\"4135ff39536d3be1\",\"dd_neutron_rate_per_s\":2.4870123366056895e15,\"dd_neutron_rate_per_s_hex\":\"4321abd95dc033f3\",\"dd_fusion_power_w\":2.7342429282580183e3,\"dd_fusion_power_w_hex\":\"40a55c7c6117b6ed\",\"neutron_rate_per_s\":5.140407007325685e17,\"neutron_rate_per_s_hex\":\"439c88f52cdd07cf\",\"fast_ion_count\":1.072055364421169e19,\"fast_ion_count_hex\":\"43e298e1d7a9d83b\",\"fast_ion_energy_j\":1.2552953833e5,\"fast_ion_energy_j_hex\":\"40fea5989cffeb07\",\"fast_ion_energy_time_s\":1.1005999999999999e-1,\"fast_ion_energy_time_s_hex\":\"3fbc2ce4649906cc\",\"beam_power_to_electrons_w\":1.5484919503077428e5,\"beam_power_to_electrons_w_hex\":\"4102e7098f6c4b6a\",\"beam_power_to_ions_w\":7.019014110381581e5,\"beam_power_to_ions_w_hex\":\"41256b9ad27397ed\",\"beam_power_thermalised_w\":2.8183311332861165e5,\"beam_power_thermalised_w_hex\":\"411133a4740c6a63\",\"beam_target_fused_fraction\":2.030566896187136e-3,\"beam_target_fused_fraction_hex\":\"3f60a2684d2ab680\",\"beam_beam_fused_fraction\":9.037261355830398e-5,\"beam_beam_fused_fraction_hex\":\"3f17b0cdadc26b3e\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-1.933223330174633e-2,\"charge_excess_min_hex\":\"bf93cbd437289811\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,3.1387345711659e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43916c68fc2f6ebf\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-8.263211825873041e-7,\"power_ledger_residual_hex\":\"beabba0b7f3fa20a\"},\"field_sha256\":\"f83ad127a11f27a55cb4bb3e37af31795ae9eb6371cd8017ae4bb6d8e7389faa\",\"seal_parts\":{\"inputs\":\"a905016de866d42ef96343b604863a3f993a2ab2296f8d6284d5e9ee5d97111c\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3eea867eed663c2ba44d6095b3999dc0a40bc4b5acd81fd701d3f70b79a9a41\",\"invariants\":\"9a173d8f9e6cf1a264fbce6e1a6e7840374a58dade078e62b8b5b0bd9cb2ff1d\",\"field_sha256\":\"4dc7e3794a9aa5eff22e7205adb8b7eb61da976c09c9539c400372943d26363a\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"56d300ca1435c4e600c78e5e69413e528c550cd6e0679f77b46fd6550c1cdc25\",\"receipt_sha256\":\"aa445e39055e556d6e8c696a3e11e667483fe9bf204453452a4a9ebda631d762\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 40.15546554429862, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,40.15546554429862,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"BeamChangeTooRecent\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"d9c89495fd52620065ad9927527dbd1d9a2e549e58e24d902519fb81325b9688\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"23c683add5c24deba84ac07dad766a5778ea93f386dafdd350dcf1a4833e550e\"},\"solution_seal\":\"5a5d88e5f5c5400f8ef9e1dfa2950af90f93b068f88833c1b682c6151fd9f70e\",\"receipt_sha256\":\"cedec456b71953afcd34eaacb0d77369c63809ec2ca3214f87ac4fe369b90e2c\"}", "outside_answer_is_error": false}
{"id": "edge-22a6cfc69bb1", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.ion_temperature_kev[1]", "input_unit": "keV", "whole_number_input": false, "base_value": 18.2776, "edge_kind": "declared_limit", "direction": "up", "inside_value": 41.8, "inside_value_hex": "4044e66666666666", "outside_value": 41.800000000000004, "outside_value_hex": "4044e66666666667", "width": 7.105427357601002e-15, "adjacent_64_bit_numbers": true, "stop_name": "IonTemperatureOutOfRange", "stop_sentence": "Physical Violation: the ion temperature of shell 1, 41.800000000000004 keV, is outside 0.224..=41.8 (IonTemperatureOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "f512136f76b286d1e416a5427dd20a64ed75abcc954f88f74dbe7e94a40d0ac0", "outside_proof": null, "inside_receipt": "5ac18bce58ffcd9f255badea3178321cc76879acd5d16e21ab5e2840e014a234", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:47:31Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 41.8, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,41.8,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":3.735069048966302e17,\"thermal_dt_rate_per_s_hex\":\"4394bbda344e13b7\",\"beam_target_dt_rate_per_s\":1.3558387498902506e17,\"beam_target_dt_rate_per_s_hex\":\"437e1b0d0e1fde72\",\"beam_beam_dt_rate_per_s\":5.956380814174348e15,\"beam_beam_dt_rate_per_s_hex\":\"4335294bfa93688c\",\"dt_rate_per_s\":5.150471606998296e17,\"dt_rate_per_s_hex\":\"439c9742a7c058f6\",\"dt_fusion_power_w\":1.4514381700761963e6,\"dt_fusion_power_w_hex\":\"413625ae2b8a1d15\",\"dd_neutron_rate_per_s\":2.595489047482462e15,\"dd_neutron_rate_per_s_hex\":\"4322712ac56320bc\",\"dd_fusion_power_w\":2.8494465703591254e3,\"dd_fusion_power_w_hex\":\"40a642e4a4debf9d\",\"neutron_rate_per_s\":5.1764264974731206e17,\"neutron_rate_per_s_hex\":\"439cbc24fd4b1f37\",\"fast_ion_count\":1.0606608753511447e19,\"fast_ion_count_hex\":\"43e26647cee21327\",\"fast_ion_energy_j\":1.2478137990845692e5,\"fast_ion_energy_j_hex\":\"40fe76d6141ae3df\",\"fast_ion_energy_time_s\":1.0940404031935046e-1,\"fast_ion_energy_time_s_hex\":\"3fbc01e73738ccd7\",\"beam_power_to_electrons_w\":1.5421653683467052e5,\"beam_power_to_electrons_w_hex\":\"4102d3444b6ff9ca\",\"beam_power_to_ions_w\":6.950331118475167e5,\"beam_power_to_ions_w_hex\":\"412535f2394413e5\",\"beam_power_thermalised_w\":2.89344790071477e5,\"beam_power_thermalised_w_hex\":\"4111a90329087f4d\",\"beam_target_fused_fraction\":2.00512955965961e-3,\"beam_target_fused_fraction_hex\":\"3f606d0fbc41612c\",\"beam_beam_fused_fraction\":8.771058596711668e-5,\"beam_beam_fused_fraction_hex\":\"3f16fe2864997d17\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-2.1566497378509398e-2,\"charge_excess_min_hex\":\"bf96158723b8496d\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,3.169380140342597e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"439197f5c73951bc\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":2.1684043449710089e-16,\"particle_ledger_residual_hex\":\"3caf400000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-8.432512542338101e-7,\"power_ledger_residual_hex\":\"beac4b791e4b1b5e\"},\"field_sha256\":\"a1d7ec031be99988fb4c3a711de68b09b7b0ad3c2fb21525b6f9cca0466b6360\",\"seal_parts\":{\"inputs\":\"2b35b947098f29b5311c11e65b59ae59345850dfaeb847e0a85eac55a2a8e5a1\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"46d496cab0f7b0507c4394f350cb9e52de57360522431cf340de2937144005eb\",\"invariants\":\"affebf25e950030933ac1c1577790bb4a53bd20925ffe94c061a14b20da3dacf\",\"field_sha256\":\"07c74952aada7c5c7c24cef893a7428feefd38295683646e4c0368de8347554e\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"f512136f76b286d1e416a5427dd20a64ed75abcc954f88f74dbe7e94a40d0ac0\",\"receipt_sha256\":\"5ac18bce58ffcd9f255badea3178321cc76879acd5d16e21ab5e2840e014a234\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 41.800000000000004, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: the ion temperature of shell 1, 41.800000000000004 keV, is outside 0.224..=41.8 (IonTemperatureOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-c0f525a91789", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.ion_temperature_kev[2]", "input_unit": "keV", "whole_number_input": false, "base_value": 8.04433, "edge_kind": "declared_limit", "direction": "down", "inside_value": 3.68311, "inside_value_hex": "400d7702602c9082", "outside_value": 3.6831099999999997, "outside_value_hex": "400d7702602c9081", "width": 4.440892098500626e-16, "adjacent_64_bit_numbers": true, "stop_name": "TemperatureRatioOutOfRange", "stop_sentence": "Physical Violation: the electron over ion temperature of shell 2, 2.0000000000000004, is outside 0.073..=2, the span of the slices compared (TemperatureRatioOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "3385ee572375df0a504eb9d22440903b5f0e3b486f199d2d885506f99475387e", "outside_proof": null, "inside_receipt": "ae693fd5c8c68ba784713b2b7265fc0fc980c484691ca4eb64ee0422b095e063", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:47:33Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 3.68311, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,3.68311,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"thermal_dt_rate_per_s\":1.686816622472227e17,\"thermal_dt_rate_per_s_hex\":\"4382ba389ff2f1ed\",\"beam_target_dt_rate_per_s\":1.3083865908190195e17,\"beam_target_dt_rate_per_s_hex\":\"437d0d5113577178\",\"beam_beam_dt_rate_per_s\":7.37646489506489e15,\"beam_beam_dt_rate_per_s_hex\":\"433a34db11c4bb3a\",\"dt_rate_per_s\":3.068967862241895e17,\"dt_rate_per_s_hex\":\"4391094401166841\",\"dt_fusion_power_w\":8.648561603451056e5,\"dt_fusion_power_w_hex\":\"412a64b05218c0f1\",\"dd_neutron_rate_per_s\":8.693687543692194e14,\"dd_neutron_rate_per_s_hex\":\"4308b57d7e43961b\",\"dd_fusion_power_w\":9.786877311602682e2,\"dd_fusion_power_w_hex\":\"408e95807931ce56\",\"neutron_rate_per_s\":3.077661549785587e17,\"neutron_rate_per_s_hex\":\"4391159ebfd58a0c\",\"fast_ion_count\":1.14869873246685e19,\"fast_ion_count_hex\":\"43e3ed3f438e48fb\",\"fast_ion_energy_j\":1.2385986609575065e5,\"fast_ion_energy_j_hex\":\"40fe3d3ddb8737c4\",\"fast_ion_energy_time_s\":1.0859608856890406e-1,\"fast_ion_energy_time_s_hex\":\"3fbbccf408e0809b\",\"beam_power_to_electrons_w\":1.5227778065330334e5,\"beam_power_to_electrons_w_hex\":\"410296ae3ec728bb\",\"beam_power_to_ions_w\":8.413052293257943e5,\"beam_power_to_ions_w_hex\":\"4129acb2756a30c5\",\"beam_power_thermalised_w\":1.451458309730427e5,\"beam_power_thermalised_w_hex\":\"4101b7cea5d531d2\",\"beam_target_fused_fraction\":1.934059668267284e-3,\"beam_target_fused_fraction_hex\":\"3f5fb008c184a362\",\"beam_beam_fused_fraction\":1.0862201032754003e-4,\"beam_beam_fused_fraction_hex\":\"3f1c797fed8cd5fb\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-1.8675557360200587e-2,\"charge_excess_min_hex\":\"bf931faf7062f3ec\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,2.818435244452788e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"435908613aeb8d42\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":3.1051550219984847e-16,\"particle_ledger_residual_hex\":\"3cb6600000000000\",\"energy_ledger_residual\":1.5286806475334203e-6,\"energy_ledger_residual_hex\":\"3eb9a5a225a9999a\",\"power_ledger_residual\":-6.997284004748103e-7,\"power_ledger_residual_hex\":\"bea77a9f067471f1\"},\"field_sha256\":\"e7f5c9fe467de62a9adedbdc97215b69ba8f30807ca31a20ddef644571de1a72\",\"seal_parts\":{\"inputs\":\"08e15aab9250bd15a991842599499a5f0ff9417fad4830233ebf4d615bae4acc\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"7cdb1432185c9baaa1143876691d2ce7bdbb8be31de6211386c17a5e6f8a2df3\",\"invariants\":\"23d1c14cb11ec219f7345cf1ce2bf8bb185fd1e2593f31d94d3323619010fb7e\",\"field_sha256\":\"65bb8297c85a6c812a7229b6d391548a780290f85341519d8045cafb20ba07d6\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"3385ee572375df0a504eb9d22440903b5f0e3b486f199d2d885506f99475387e\",\"receipt_sha256\":\"ae693fd5c8c68ba784713b2b7265fc0fc980c484691ca4eb64ee0422b095e063\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 3.6831099999999997, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: the electron over ion temperature of shell 2, 2.0000000000000004, is outside 0.073..=2, the span of the slices compared (TemperatureRatioOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-17afa9aded27", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.ion_temperature_kev[2]", "input_unit": "keV", "whole_number_input": false, "base_value": 8.04433, "edge_kind": "declared_limit", "direction": "up", "inside_value": 12.63140232117181, "inside_value_hex": "402943472a401a53", "outside_value": 12.631402321171812, "outside_value_hex": "402943472a401a54", "width": 1.7763568394002505e-15, "adjacent_64_bit_numbers": true, "stop_name": "BeamChangeTooRecent", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "aedb2f7c9e9b21a74857f27bb1188bc82354d16e72d388848e5e2be69e8be276", "outside_proof": "894690998338c56dc6069e0fe324ce277c75e35f127fd64742770990117bb76b", "inside_receipt": "43009c3be195996a292d7c047e5ac73de6108acfb98c18fd82210970f684aaa3", "outside_receipt": "07aa0db85dd9eb8675f16419e8ca2ed04b26da5f7a443a035b5ac6f176f9ea6c", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:47:35Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 12.63140232117181, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,12.63140232117181,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":3.0003744386168435e17,\"thermal_dt_rate_per_s_hex\":\"4390a7c9dcb2c482\",\"beam_target_dt_rate_per_s\":1.4464980325848445e17,\"beam_target_dt_rate_per_s_hex\":\"43800f31d6606ab7\",\"beam_beam_dt_rate_per_s\":7.420005227286303e15,\"beam_beam_dt_rate_per_s_hex\":\"433a5c7497cdcf1f\",\"dt_rate_per_s\":4.521072523474551e17,\"dt_rate_per_s_hex\":\"439918d49a42311a\",\"dt_fusion_power_w\":1.2740691981171898e6,\"dt_fusion_power_w_hex\":\"413370d532b7cee3\",\"dd_neutron_rate_per_s\":1.2851723014451982e15,\"dd_neutron_rate_per_s_hex\":\"4312436dfa02e139\",\"dd_fusion_power_w\":1.449281243817574e3,\"dd_fusion_power_w_hex\":\"4096a51ffe611abb\",\"neutron_rate_per_s\":4.533924246489003e17,\"neutron_rate_per_s_hex\":\"43992b18083c33fb\",\"fast_ion_count\":1.1446508446832708e19,\"fast_ion_count_hex\":\"43e3db4559287f19\",\"fast_ion_energy_j\":1.2552953833e5,\"fast_ion_energy_j_hex\":\"40fea5989cffeb07\",\"fast_ion_energy_time_s\":1.1005999999999999e-1,\"fast_ion_energy_time_s_hex\":\"3fbc2ce4649906cc\",\"beam_power_to_electrons_w\":1.5531425459860748e5,\"beam_power_to_electrons_w_hex\":\"4102f592096afea6\",\"beam_power_to_ions_w\":7.623030773890368e5,\"beam_power_to_ions_w_hex\":\"4127437e279f892c\",\"beam_power_thermalised_w\":2.2101747020407746e5,\"beam_power_thermalised_w_hex\":\"410afacbc2fa5af9\",\"beam_target_fused_fraction\":2.1391554398943018e-3,\"beam_target_fused_fraction_hex\":\"3f61862254f91718\",\"beam_beam_fused_fraction\":1.0926316276078526e-4,\"beam_beam_fused_fraction_hex\":\"3f1ca486d7c5b2d7\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-1.8675557360200587e-2,\"charge_excess_min_hex\":\"bf931faf7062f3ec\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,9.604510125320218e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"437553882be9d110\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.0755285551056204e-16,\"particle_ledger_residual_hex\":\"3c9f000000000000\",\"energy_ledger_residual\":1.7158858404808797e-6,\"energy_ledger_residual_hex\":\"3ebcc9ac6efccccd\",\"power_ledger_residual\":-1.166541875192933e-6,\"power_ledger_residual_hex\":\"beb392425b26e544\"},\"field_sha256\":\"74606c105f5471904fb853d11d0049ec755a08c263eba10fc90a844ac38d3542\",\"seal_parts\":{\"inputs\":\"d315f4c5ceb3e7ceb35156d550a83fac9ae5ca614b3e4bafec2097ad2e059e27\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"1223ab61ef9f1164165e991aa1c87536d6e659e5c8da60f31cb611c5ae123a15\",\"invariants\":\"06a0ceb6ae1fc3ff59316262c54ceda3aa1e3e5615bb35a0c5cbf9b66778630a\",\"field_sha256\":\"dc576736bf3adaf79dd63c7b52f93d818881f5e05a89cc28c370c086a3bdc034\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"aedb2f7c9e9b21a74857f27bb1188bc82354d16e72d388848e5e2be69e8be276\",\"receipt_sha256\":\"43009c3be195996a292d7c047e5ac73de6108acfb98c18fd82210970f684aaa3\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 12.631402321171812, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,12.631402321171812,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"BeamChangeTooRecent\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"106cea48d9e24828c3fb268ad0ee7bd0638dc31d045ab5c670971958dccd0647\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"23c683add5c24deba84ac07dad766a5778ea93f386dafdd350dcf1a4833e550e\"},\"solution_seal\":\"894690998338c56dc6069e0fe324ce277c75e35f127fd64742770990117bb76b\",\"receipt_sha256\":\"07aa0db85dd9eb8675f16419e8ca2ed04b26da5f7a443a035b5ac6f176f9ea6c\"}", "outside_answer_is_error": false}
{"id": "edge-218194762b31", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.ion_temperature_kev[2]", "input_unit": "keV", "whole_number_input": false, "base_value": 8.04433, "edge_kind": "declared_limit", "direction": "down", "inside_value": 35.39846377377418, "inside_value_hex": "4041b300dc66801c", "outside_value": 35.398463773774175, "outside_value_hex": "4041b300dc66801b", "width": 7.105427357601002e-15, "adjacent_64_bit_numbers": true, "stop_name": "BeamChangeTooRecent", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "a3be6d17f16b72b080880a333ad95e25b21e64611ca873499b7b3685fae22a44", "outside_proof": "818544090b7cc2b0108af9d91ae088111b53e4cfdc10be2258e8665e9cb2479b", "inside_receipt": "36d6d4dee73416a433ea7548b8b0f20b4dc435591e51eebff5dffdbad0ec3d34", "outside_receipt": "fd5927d874399ae1ffbd6f0a60e055934a8d10d10ac2350ddfbff7b531860308", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:47:37Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 35.39846377377418, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,35.39846377377418,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":6.814682301384323e17,\"thermal_dt_rate_per_s_hex\":\"43a2ea1f7d4e3b16\",\"beam_target_dt_rate_per_s\":1.4822928793015914e17,\"beam_target_dt_rate_per_s_hex\":\"438074ee04231701\",\"beam_beam_dt_rate_per_s\":6.125348860945086e15,\"beam_beam_dt_rate_per_s_hex\":\"4335c2f8eafb62be\",\"dt_rate_per_s\":8.358228669295364e17,\"dt_rate_per_s_hex\":\"43a732e0f02cf79b\",\"dt_fusion_power_w\":2.355406077446701e6,\"dt_fusion_power_w_hex\":\"4141f86709e9c604\",\"dd_neutron_rate_per_s\":3.4391070844342505e15,\"dd_neutron_rate_per_s_hex\":\"43286fb308397695\",\"dd_fusion_power_w\":3.795095444106435e3,\"dd_fusion_power_w_hex\":\"40ada630de0cc778\",\"neutron_rate_per_s\":8.392619740139707e17,\"neutron_rate_per_s_hex\":\"43a74b50a3353112\",\"fast_ion_count\":1.0263537769553017e19,\"fast_ion_count_hex\":\"43e1cded2721a067\",\"fast_ion_energy_j\":1.2552953833e5,\"fast_ion_energy_j_hex\":\"40fea5989cffeb07\",\"fast_ion_energy_time_s\":1.1005999999999999e-1,\"fast_ion_energy_time_s_hex\":\"3fbc2ce4649906cc\",\"beam_power_to_electrons_w\":1.5659717259442006e5,\"beam_power_to_electrons_w_hex\":\"41031da961792eed\",\"beam_power_to_ions_w\":5.678632164520427e5,\"beam_power_to_ions_w_hex\":\"4121546e6ed2cd59\",\"beam_power_thermalised_w\":4.1405671552451595e5,\"beam_power_thermalised_w_hex\":\"411945a2dcb2756e\",\"beam_target_fused_fraction\":2.1939673842508336e-3,\"beam_target_fused_fraction_hex\":\"3f61f915453e3e27\",\"beam_beam_fused_fraction\":9.019872211125188e-5,\"beam_beam_fused_fraction_hex\":\"3f17a5223f1661d9\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-2.5542156366408907e-2,\"charge_excess_min_hex\":\"bf9a27b9190d5b86\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,2.7536570830239834e17,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"438e925d38d5819c\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":2.2724877535296173e-16,\"particle_ledger_residual_hex\":\"3cb0600000000000\",\"energy_ledger_residual\":1.5286806475334203e-6,\"energy_ledger_residual_hex\":\"3eb9a5a225a9999a\",\"power_ledger_residual\":-3.2876408877135235e-7,\"power_ledger_residual_hex\":\"be96101fc0ebbddc\"},\"field_sha256\":\"73e9cbf1ead8697164fe2233b6a67d46668b24bb0640b80c274582ab6663b9e1\",\"seal_parts\":{\"inputs\":\"94a1e99406e3a98f7bd8287b38e06b57a2a06f6fc30e9b910044fcece72a6e3c\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"89df58fee7d80a501f98c120bd61cb57793149999d11449b9f405b1e18d1cbb2\",\"invariants\":\"cb2dc8eec504a45670b6ed8bf4aa397608f08061291041e0c83b0407d7840191\",\"field_sha256\":\"0e7862051b6f04c04c6d9ceb27b7fd1708b9f7ab2944c3f2b2e4078d3283408d\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"a3be6d17f16b72b080880a333ad95e25b21e64611ca873499b7b3685fae22a44\",\"receipt_sha256\":\"36d6d4dee73416a433ea7548b8b0f20b4dc435591e51eebff5dffdbad0ec3d34\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 35.398463773774175, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,35.398463773774175,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"BeamChangeTooRecent\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"2fdb1039c2916c933f32d9c2be3038ba4460dfd071c21ad8b449955845443604\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"23c683add5c24deba84ac07dad766a5778ea93f386dafdd350dcf1a4833e550e\"},\"solution_seal\":\"818544090b7cc2b0108af9d91ae088111b53e4cfdc10be2258e8665e9cb2479b\",\"receipt_sha256\":\"fd5927d874399ae1ffbd6f0a60e055934a8d10d10ac2350ddfbff7b531860308\"}", "outside_answer_is_error": false}
{"id": "edge-7f703a51e6dd", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.ion_temperature_kev[2]", "input_unit": "keV", "whole_number_input": false, "base_value": 8.04433, "edge_kind": "declared_limit", "direction": "up", "inside_value": 41.8, "inside_value_hex": "4044e66666666666", "outside_value": 41.800000000000004, "outside_value_hex": "4044e66666666667", "width": 7.105427357601002e-15, "adjacent_64_bit_numbers": true, "stop_name": "IonTemperatureOutOfRange", "stop_sentence": "Physical Violation: the ion temperature of shell 2, 41.800000000000004 keV, is outside 0.224..=41.8 (IonTemperatureOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "d0f447a8ea46c86c891782d56da4779b3a403dc6c314710e599467aca02680c9", "outside_proof": null, "inside_receipt": "e7e7dc48c043c87c7de5f716cd491a7b59968ed1771c335313e7e93fe35a29c0", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:47:38Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 41.8, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,41.8,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":7.267870425266525e17,\"thermal_dt_rate_per_s_hex\":\"43a42c21edd250d1\",\"beam_target_dt_rate_per_s\":1.3870168699321432e17,\"beam_target_dt_rate_per_s_hex\":\"437ecc4730efa5b7\",\"beam_beam_dt_rate_per_s\":5.453488687992573e15,\"beam_beam_dt_rate_per_s_hex\":\"43335feb4808cefd\",\"dt_rate_per_s\":8.709422182078595e17,\"dt_rate_per_s_hex\":\"43a82c6aaa805726\",\"dt_fusion_power_w\":2.4543748143763663e6,\"dt_fusion_power_w_hex\":\"4142b9b3683d7c1a\",\"dd_neutron_rate_per_s\":4.0886017568669455e15,\"dd_neutron_rate_per_s_hex\":\"432d0d1f8eb13303\",\"dd_fusion_power_w\":4.487307968143732e3,\"dd_fusion_power_w_hex\":\"40b1874ed700118a\",\"neutron_rate_per_s\":8.750308199647264e17,\"neutron_rate_per_s_hex\":\"43a84977ca0f0859\",\"fast_ion_count\":9.636881061375232e18,\"fast_ion_count_hex\":\"43e0b7a2888abeb9\",\"fast_ion_energy_j\":1.2112035693357779e5,\"fast_ion_energy_j_hex\":\"40fd9205b5fffbb7\",\"fast_ion_energy_time_s\":1.0619418075979449e-1,\"fast_ion_energy_time_s_hex\":\"3fbb2f8ab5638a59\",\"beam_power_to_electrons_w\":1.4932809738086496e5,\"beam_power_to_electrons_w_hex\":\"41023a80c76f9e72\",\"beam_power_to_ions_w\":5.208237487308725e5,\"beam_power_to_ions_w_hex\":\"411fc9defeb34e4c\",\"beam_power_thermalised_w\":4.684342921596048e5,\"beam_power_thermalised_w_hex\":\"411c97492b2be32f\",\"beam_target_fused_fraction\":2.0524766788919766e-3,\"beam_target_fused_fraction_hex\":\"3f60d05b06c5c914\",\"beam_beam_fused_fraction\":8.030525638162628e-5,\"beam_beam_fused_fraction_hex\":\"3f150d31cca70bcb\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-3.132022859350929e-2,\"charge_excess_min_hex\":\"bfa009347b0654e6\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,2.917779238888342e17,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"43903269e74ac79a\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":9.80118763926896e-17,\"particle_ledger_residual_hex\":\"3c9c400000000000\",\"energy_ledger_residual\":1.5286806475334203e-6,\"energy_ledger_residual_hex\":\"3eb9a5a225a9999a\",\"power_ledger_residual\":-2.960574651663017e-7,\"power_ledger_residual_hex\":\"be93de3a807367cb\"},\"field_sha256\":\"a4aacff9f333ef2f96452b814cdaf9e970a63cac19558f4f7d71b89df85dcea4\",\"seal_parts\":{\"inputs\":\"ecb193aeccaa8a0e2721b2031634392b20a6b4a3ea19f5f7e2de67fd96ba856c\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"92d41de052725bb432b3ef0db38c2ae0c74543fc94cd909b40baf05ebe971d10\",\"invariants\":\"810ad84aaef6b5b3764989c7a193de3c209cb18182f3c061ca3f3fdb7107f127\",\"field_sha256\":\"49f36a752414985af98491c928aea051206c60b8852d8ab0e0125cbb2db6f910\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"d0f447a8ea46c86c891782d56da4779b3a403dc6c314710e599467aca02680c9\",\"receipt_sha256\":\"e7e7dc48c043c87c7de5f716cd491a7b59968ed1771c335313e7e93fe35a29c0\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 41.800000000000004, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: the ion temperature of shell 2, 41.800000000000004 keV, is outside 0.224..=41.8 (IonTemperatureOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-837e4767bb9a", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.ion_temperature_kev[3]", "input_unit": "keV", "whole_number_input": false, "base_value": 4.37061, "edge_kind": "declared_limit", "direction": "down", "inside_value": 2.185305, "inside_value_hex": "40017b8130164841", "outside_value": 2.1853049999999996, "outside_value_hex": "40017b8130164840", "width": 4.440892098500626e-16, "adjacent_64_bit_numbers": true, "stop_name": "TemperatureRatioOutOfRange", "stop_sentence": "Physical Violation: the electron over ion temperature of shell 3, 2.0000000000000004, is outside 0.073..=2, the span of the slices compared (TemperatureRatioOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "2fd92cfd89ad5e138cdb712cc8415c7df2e5664cddf08f6fdb55308efcbc7c9b", "outside_proof": null, "inside_receipt": "8f22f48b53e98643341836a8cd14f93867668695c2da740c0e15d7b8ca6fb487", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:47:40Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 2.185305], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,2.185305],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.0522916635775853e17,\"thermal_dt_rate_per_s_hex\":\"4386c8f6b7326e12\",\"beam_target_dt_rate_per_s\":1.3703370115394805e17,\"beam_target_dt_rate_per_s_hex\":\"437e6d76cd789c19\",\"beam_beam_dt_rate_per_s\":7.405691716520115e15,\"beam_beam_dt_rate_per_s_hex\":\"433a4f6ff81448b3\",\"dt_rate_per_s\":3.496685592282267e17,\"dt_rate_per_s_hex\":\"43936916ced7af32\",\"dt_fusion_power_w\":9.853899457474775e5,\"dt_fusion_power_w_hex\":\"412e125be439036c\",\"dd_neutron_rate_per_s\":9.981545772095442e14,\"dd_neutron_rate_per_s_hex\":\"430c5e87c80b4642\",\"dd_fusion_power_w\":1.1255656646510722e3,\"dd_fusion_power_w_hex\":\"409196433d98236f\",\"neutron_rate_per_s\":3.506667138054362e17,\"neutron_rate_per_s_hex\":\"4393774612bbb4d5\",\"fast_ion_count\":1.149019494053557e19,\"fast_ion_count_hex\":\"43e3eeabed76d3a0\",\"fast_ion_energy_j\":1.2442007456741887e5,\"fast_ion_energy_j_hex\":\"40fe6041316d9b16\",\"fast_ion_energy_time_s\":1.0908726017052117e-1,\"fast_ion_energy_time_s_hex\":\"3fbbed2486d7b6b8\",\"beam_power_to_electrons_w\":1.5322788354764553e5,\"beam_power_to_electrons_w_hex\":\"4102b45f11816d90\",\"beam_power_to_ions_w\":8.080168183240196e5,\"beam_power_to_ions_w_hex\":\"4128a8a1a2fb5dab\",\"beam_power_thermalised_w\":1.77442804940894e5,\"beam_power_thermalised_w_hex\":\"4105a9167084d9f8\",\"beam_target_fused_fraction\":2.026029346553768e-3,\"beam_target_fused_fraction_hex\":\"3f6098e439180a7a\",\"beam_beam_fused_fraction\":1.090523893976112e-4,\"beam_beam_fused_fraction_hex\":\"3f1c9661c8b7bc6b\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-1.863274467891193e-2,\"charge_excess_min_hex\":\"bf931476541f6157\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,5.039772763669543e16,3.3311281340634595e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"4327ab496a43aac7\"]},\"invariants\":{\"particle_ledger_residual\":3.688455790795686e-16,\"particle_ledger_residual_hex\":\"3cba940000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.321827730270622e-6,\"power_ledger_residual_hex\":\"beb62d34f597ea8b\"},\"field_sha256\":\"5ff88712d7178e0ce81eb3f632292ddf3c56f3a11dfdf7142bf081c6cb675931\",\"seal_parts\":{\"inputs\":\"14a2569e769a10ec005f1fe64ef4a42cdd2ec1a4107aee3754bf9f6cddcd7c96\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"b6cd750c32adc933883f1cf2ba2111a949d90bbd9d5c7f1e15124412bca6303e\",\"invariants\":\"5bafef0df3bdc93deb21a7274c96a773d910d2d7da90f55ea8e4424c6584319d\",\"field_sha256\":\"1f32eee892fd895df34d509cd022fc2f1563bde249b26e13cadf23c12498b302\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"2fd92cfd89ad5e138cdb712cc8415c7df2e5664cddf08f6fdb55308efcbc7c9b\",\"receipt_sha256\":\"8f22f48b53e98643341836a8cd14f93867668695c2da740c0e15d7b8ca6fb487\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 2.1853049999999996], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: the electron over ion temperature of shell 3, 2.0000000000000004, is outside 0.073..=2, the span of the slices compared (TemperatureRatioOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-27c8c2429f3a", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.ion_temperature_kev[3]", "input_unit": "keV", "whole_number_input": false, "base_value": 4.37061, "edge_kind": "declared_limit", "direction": "up", "inside_value": 41.8, "inside_value_hex": "4044e66666666666", "outside_value": 41.800000000000004, "outside_value_hex": "4044e66666666667", "width": 7.105427357601002e-15, "adjacent_64_bit_numbers": true, "stop_name": "IonTemperatureOutOfRange", "stop_sentence": "Physical Violation: the ion temperature of shell 3, 41.800000000000004 keV, is outside 0.224..=41.8 (IonTemperatureOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "64d6c40b62f591cf1195b02259b5d195d668ee9f8326f7416a7a45d6992bebba", "outside_proof": null, "inside_receipt": "6504dfebb66f3e8dfbe777fd01f17ced8458509f321d055a0bf3ad9e51df3a23", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:47:42Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 41.8], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,41.8],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":6.148656663790783e17,\"thermal_dt_rate_per_s_hex\":\"43a110e221ba37b5\",\"beam_target_dt_rate_per_s\":1.3733883590536528e17,\"beam_target_dt_rate_per_s_hex\":\"437e7ecf19001452\",\"beam_beam_dt_rate_per_s\":7.294155449641634e15,\"beam_beam_dt_rate_per_s_hex\":\"4339e9fee8832aa2\",\"dt_rate_per_s\":7.594986577340851e17,\"dt_rate_per_s_hex\":\"43a5149002ab4094\",\"dt_fusion_power_w\":2.140319229134336e6,\"dt_fusion_power_w_hex\":\"4140544f9d544620\",\"dd_neutron_rate_per_s\":2.7233019295728755e15,\"dd_neutron_rate_per_s_hex\":\"432359a84841b417\",\"dd_fusion_power_w\":3.0071731969455855e3,\"dd_fusion_power_w_hex\":\"40a77e58ad45221d\",\"neutron_rate_per_s\":7.62221959663658e17,\"neutron_rate_per_s_hex\":\"43a527e9aaf38248\",\"fast_ion_count\":1.0856764076509172e19,\"fast_ion_count_hex\":\"43e2d55f2cfdd1a2\",\"fast_ion_energy_j\":1.2197915885385443e5,\"fast_ion_energy_j_hex\":\"40fdc7b28aaa56da\",\"fast_ion_energy_time_s\":1.0694714887075152e-1,\"fast_ion_energy_time_s_hex\":\"3fbb60e36acce1d8\",\"beam_power_to_electrons_w\":1.4618178674170395e5,\"beam_power_to_electrons_w_hex\":\"4101d82e4b3f3c07\",\"beam_power_to_ions_w\":7.300519667879473e5,\"beam_power_to_ions_w_hex\":\"41264787eefed470\",\"beam_power_thermalised_w\":2.624440498830926e5,\"beam_power_thermalised_w_hex\":\"411004b033148dad\",\"beam_target_fused_fraction\":2.030861254312787e-3,\"beam_target_fused_fraction_hex\":\"3f60a3065570887e\",\"beam_beam_fused_fraction\":1.074099639668503e-4,\"beam_beam_fused_fraction_hex\":\"3f1c282921483f11\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-2.4106772366493993e-2,\"charge_excess_min_hex\":\"bf98af721bb46fee\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,5.039772763669543e16,1.504667531294352e17],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"4380b485b7d64a82\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.133010636274679e-6,\"power_ledger_residual_hex\":\"beb3023e5e7555d3\"},\"field_sha256\":\"ea2f9a07266ef19f44fa5ea22f2b0c13468d4d00198ce9ba2921e084eb1a25ea\",\"seal_parts\":{\"inputs\":\"e923ce0cb8ceee023f657613f6dd8663b74f6c256c80e489eb7ebcfa38593743\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"137422235f375d5b5f3b40b248e811f7f32297de1e7b5938466d64354898ffc9\",\"invariants\":\"40cc144dca1023a899f66e51373b5d286193d470a498f520ab1cb9f119c0af02\",\"field_sha256\":\"babeb767a684a744e88c690be04af3ba69ad6636a3cd05497686c45957e5bc0d\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"64d6c40b62f591cf1195b02259b5d195d668ee9f8326f7416a7a45d6992bebba\",\"receipt_sha256\":\"6504dfebb66f3e8dfbe777fd01f17ced8458509f321d055a0bf3ad9e51df3a23\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 41.800000000000004], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: the ion temperature of shell 3, 41.800000000000004 keV, is outside 0.224..=41.8 (IonTemperatureOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-6f93941915a8", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.electron_density_per_m3[0]", "input_unit": "m^-3", "whole_number_input": false, "base_value": 4.06983e+19, "edge_kind": "declared_limit", "direction": "down", "inside_value": 3.6692732892198674e+19, "inside_value_hex": "43ffd36c628b5cb2", "outside_value": 3.669273289219867e+19, "outside_value_hex": "43ffd36c628b5cb1", "width": 4096.0, "adjacent_64_bit_numbers": true, "stop_name": "IonChargeExceedsElectrons", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (IonChargeExceedsElectrons). in shell 0 the thermal ions and the fast ions this solve finds carry 0.12000000000000033 of the electron density more charge than the electrons, above the allowance of 0.12 (QUASI_NEUTRALITY_FAST_ION_ALLOWANCE), the largest excess on a slice compared: quasi-neutrality cannot hold.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "e70d73aa9422a6e1d63b62390af0cc04f0b4eb21e88be3458781709fac4b87fb", "outside_proof": "fc6c8569c0326eab4b02fa7e529e399f8188c6ddeb2ef4a1d56ae17a27e70eef", "inside_receipt": "61b7479cd64e953385c06177a1d9329d7ed3dc61914aed3114052bbf8405c9c7", "outside_receipt": "a68a5e805cbee55ef34a280db42e5d12eaa3c0c84e7b3c2b03b25848ef87251f", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:47:44Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [3.6692732892198674e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[3.6692732892198674e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.3796102533855795e17,\"beam_target_dt_rate_per_s_hex\":\"437ea22d25427460\",\"beam_beam_dt_rate_per_s\":7.430894951321696e15,\"beam_beam_dt_rate_per_s_hex\":\"433a665c0defd060\",\"dt_rate_per_s\":3.545958424519429e17,\"dt_rate_per_s_hex\":\"4393af1c28f0b6b8\",\"dt_fusion_power_w\":9.992753672998657e5,\"dt_fusion_power_w_hex\":\"412e7ed6bc0eba5e\",\"dd_neutron_rate_per_s\":1.0114257993412525e15,\"dd_neutron_rate_per_s_hex\":\"430cbf175be42624\",\"dd_fusion_power_w\":1.1409093871557163e3,\"dd_fusion_power_w_hex\":\"4091d3a33662f4d1\",\"neutron_rate_per_s\":3.5560726825128416e17,\"neutron_rate_per_s_hex\":\"4393bd7bb49ea8cb\",\"fast_ion_count\":1.1494874654889957e19,\"fast_ion_count_hex\":\"43e3f0bff313cb6b\",\"fast_ion_energy_j\":1.2458500400350746e5,\"fast_ion_energy_j_hex\":\"40fe6a901065fb5a\",\"fast_ion_energy_time_s\":1.0923186465148559e-1,\"fast_ion_energy_time_s_hex\":\"3fbbf69e965bf66f\",\"beam_power_to_electrons_w\":1.5274133378687585e5,\"beam_power_to_electrons_w_hex\":\"4102a52aab98741d\",\"beam_power_to_ions_w\":8.038073319441528e5,\"beam_power_to_ions_w_hex\":\"412887bea9f49581\",\"beam_power_thermalised_w\":1.8213051089014855e5,\"beam_power_thermalised_w_hex\":\"41063b94164d92ff\",\"beam_target_fused_fraction\":2.0397564901024428e-3,\"beam_target_fused_fraction_hex\":\"3f60b5aded565fd3\",\"beam_beam_fused_fraction\":1.0942351920977045e-4,\"beam_beam_fused_fraction_hex\":\"3f1caf49bee4ac31\",\"fast_ion_fraction_max\":1.5228990589715885e-1,\"fast_ion_fraction_max_hex\":\"3fc37e3c52ab6b64\",\"charge_excess_max\":1.200000000000001e-1,\"charge_excess_max_hex\":\"3fbeb851eb851ec0\",\"charge_excess_min\":-1.8675557360200587e-2,\"charge_excess_min_hex\":\"bf931faf7062f3ec\",\"dt_rate_density_per_m3_s\":[1.729429993524043e17,1.760405019827982e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"43833355eed6534a\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.3094202900884752e-6,\"power_ledger_residual_hex\":\"beb5f7ead5a8389f\"},\"field_sha256\":\"83eafb9ab30e1adb50a77e571499cf63cc7043dbd32d95623931612ab25d4d8d\",\"seal_parts\":{\"inputs\":\"547d45b0316ae6d4fddd3a6d1a3c04b831f7e2bc488a4ca0727e8b9f36543a08\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"440d5706cfeeb879b642f62d63571aee778f13683023ecb1d75b6cd843dfb288\",\"invariants\":\"3d486ea10ef4c859bc2c32ae122a57bc86b10ae24e6df7a9534787f292a92ad3\",\"field_sha256\":\"ab34454a5ebbdc68f6cda4bca257d11b8b48ad8199999d73dd5ec7184bdb1212\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"e70d73aa9422a6e1d63b62390af0cc04f0b4eb21e88be3458781709fac4b87fb\",\"receipt_sha256\":\"61b7479cd64e953385c06177a1d9329d7ed3dc61914aed3114052bbf8405c9c7\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [3.669273289219867e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[3.669273289219867e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"IonChargeExceedsElectrons\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (IonChargeExceedsElectrons). in shell 0 the thermal ions and the fast ions this solve finds carry 0.12000000000000033 of the electron density more charge than the electrons, above the allowance of 0.12 (QUASI_NEUTRALITY_FAST_ION_ALLOWANCE), the largest excess on a slice compared: quasi-neutrality cannot hold.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"31722ef03698b2ee377d81f1feca62e672900cdc6b5366851cb652f0d2e1771c\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"7c3a7b714043ee1678380f76aa801eb018c060cfab1df38ebfc52601c37a8ff1\"},\"solution_seal\":\"fc6c8569c0326eab4b02fa7e529e399f8188c6ddeb2ef4a1d56ae17a27e70eef\",\"receipt_sha256\":\"a68a5e805cbee55ef34a280db42e5d12eaa3c0c84e7b3c2b03b25848ef87251f\"}", "outside_answer_is_error": false}
{"id": "edge-55343a779b98", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.electron_density_per_m3[0]", "input_unit": "m^-3", "whole_number_input": false, "base_value": 4.06983e+19, "edge_kind": "declared_limit", "direction": "up", "inside_value": 5.2099782723536855e+19, "inside_value_hex": "4406983ce2cdfb95", "outside_value": 5.209978272353686e+19, "outside_value_hex": "4406983ce2cdfb96", "width": 8192.0, "adjacent_64_bit_numbers": true, "stop_name": "IonChargeBelowElectrons", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (IonChargeBelowElectrons). in shell 0 the thermal ions and the fast ions this solve finds carry 0.21500000000000086 of the electron density less charge than the electrons, above the allowance of 0.215 (QUASI_NEUTRALITY_DEFICIT_ALLOWANCE), the largest shortfall on a slice compared: quasi-neutrality cannot hold, and the ions the question leaves out would slow and meet the beam.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "7598b4b64350bbd8e60b5f565c0dc0bb2f8566f71ac1363ff17d9bbe843d4a4b", "outside_proof": "e143578f8fbd8316a35c9de25088a74a3c7e160fe82f5bdf342809fb65cf622a", "inside_receipt": "c2d0b06e6c9c343e26a18ecb8060af3bd3a77105ca88137ef8c4c68e81d9d956", "outside_receipt": "7a5fba67db4c75602636e935c7c4e05c22f32aa4d7a3933e30e3a81009aa7406", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:47:46Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [5.2099782723536855e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[5.2099782723536855e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.3743064128950768e17,\"beam_target_dt_rate_per_s_hex\":\"437e84070ab50b36\",\"beam_beam_dt_rate_per_s\":7.335183948701346e15,\"beam_beam_dt_rate_per_s_hex\":\"433a0f4f999fdea2\",\"dt_rate_per_s\":3.539697474002723e17,\"dt_rate_per_s_hex\":\"4393a636707c1ca7\",\"dt_fusion_power_w\":9.97510988568303e5,\"dt_fusion_power_w_hex\":\"412e710dfa259fe6\",\"dd_neutron_rate_per_s\":1.0102613211748592e15,\"dd_neutron_rate_per_s_hex\":\"430cb69e596e7a5a\",\"dd_fusion_power_w\":1.139606149234871e3,\"dd_fusion_power_w_hex\":\"4091ce6cb2629111\",\"neutron_rate_per_s\":3.549800087214472e17,\"neutron_rate_per_s_hex\":\"4393b491bfa8d3e4\",\"fast_ion_count\":1.1458285518366927e19,\"fast_ion_count_hex\":\"43e3e0803f0d286d\",\"fast_ion_energy_j\":1.2406526686549917e5,\"fast_ion_energy_j_hex\":\"40fe4a144514c1f6\",\"fast_ion_energy_time_s\":1.0877617692913599e-1,\"fast_ion_energy_time_s_hex\":\"3fbbd8c16a7e9ac0\",\"beam_power_to_electrons_w\":1.5490839911375043e5,\"beam_power_to_electrons_w_hex\":\"4102e8e331628ccc\",\"beam_power_to_ions_w\":8.016460865124126e5,\"beam_power_to_ions_w_hex\":\"412876dc2c4b5ade\",\"beam_power_thermalised_w\":1.8213297549965553e5,\"beam_power_thermalised_w_hex\":\"41063ba7cdd2c36e\",\"beam_target_fused_fraction\":2.0319133804159715e-3,\"beam_target_fused_fraction_hex\":\"3f60a53b308cd4fd\",\"beam_beam_fused_fraction\":1.080141284429219e-4,\"beam_beam_fused_fraction_hex\":\"3f1c50b498bf92b0\",\"fast_ion_fraction_max\":1.0346303105677261e-1,\"fast_ion_fraction_max_hex\":\"3fba7c8d9ebbdef3\",\"charge_excess_max\":-4.338027550085284e-3,\"charge_excess_max_hex\":\"bf71c4c0674ee708\",\"charge_excess_min\":-2.150000000000007e-1,\"charge_excess_min_hex\":\"bfcb851eb851eb9e\",\"dt_rate_density_per_m3_s\":[1.6956294055224768e17,1.760405019827982e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"4382d344c4b57fcc\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.3660947373317356e-16,\"particle_ledger_residual_hex\":\"3ca3b00000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.3011723300978756e-6,\"power_ledger_residual_hex\":\"beb5d47e1b4f93d6\"},\"field_sha256\":\"b03ebfa00d159571ddb4bff00e31a2d6451764ee61d63c08fd6f227a9a2ae319\",\"seal_parts\":{\"inputs\":\"323883d9cd2adb158817d1809729a1b76ce5f03e082f19b7a1106b0123a7ef3c\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"c93b58d42ef5884cd36d77f6c5f78aaecba8c76a1fb1be41d03a58db6b455f6e\",\"invariants\":\"a8f32215583a453dc078b1ec1a9eb0c119aa6bad4acd1bbf2b08b29814c192b0\",\"field_sha256\":\"efb5e8f4590e8b39d76d38634e0e6ab2302b4557dd92b8dc331afaa2ff71972f\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"7598b4b64350bbd8e60b5f565c0dc0bb2f8566f71ac1363ff17d9bbe843d4a4b\",\"receipt_sha256\":\"c2d0b06e6c9c343e26a18ecb8060af3bd3a77105ca88137ef8c4c68e81d9d956\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [5.209978272353686e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[5.209978272353686e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"IonChargeBelowElectrons\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (IonChargeBelowElectrons). in shell 0 the thermal ions and the fast ions this solve finds carry 0.21500000000000086 of the electron density less charge than the electrons, above the allowance of 0.215 (QUASI_NEUTRALITY_DEFICIT_ALLOWANCE), the largest shortfall on a slice compared: quasi-neutrality cannot hold, and the ions the question leaves out would slow and meet the beam.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"f28c01049553bb706e210a370d7e399f58e3eb0d17a6b768313c7a33e80d008b\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"8cbead3dab47ecce4fa397da048d806f2c5a3561b4d60e9a41b3008a714d2a07\"},\"solution_seal\":\"e143578f8fbd8316a35c9de25088a74a3c7e160fe82f5bdf342809fb65cf622a\",\"receipt_sha256\":\"7a5fba67db4c75602636e935c7c4e05c22f32aa4d7a3933e30e3a81009aa7406\"}", "outside_answer_is_error": false}
{"id": "edge-f8e1467d775b", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.electron_density_per_m3[1]", "input_unit": "m^-3", "whole_number_input": false, "base_value": 4.47374e+19, "edge_kind": "declared_limit", "direction": "down", "inside_value": 4.030985951219509e+19, "inside_value_hex": "44017b4b1d3e9250", "outside_value": 4.030985951219508e+19, "outside_value_hex": "44017b4b1d3e924f", "width": 8192.0, "adjacent_64_bit_numbers": true, "stop_name": "ThermalChargeExceedsElectrons", "stop_sentence": "Physical Violation: in shell 1 the thermal ions alone carry 0.02500000000000102 of the electron density more charge than the electrons, above the allowance of 0.025 (QUASI_NEUTRALITY_ALLOWANCE) by more than 4 units in the last place: quasi-neutrality cannot hold (ThermalChargeExceedsElectrons).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "29dc3f0b7c4288cf0d66062c787117ff280e8a000b1734be2930114fac881ba6", "outside_proof": null, "inside_receipt": "01129a10df2444d4ea1f140fd0386bd7661062af1c58a484420483b82f5d7ce0", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:47:47Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.030985951219509e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.030985951219509e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.3844142026811835e17,\"beam_target_dt_rate_per_s_hex\":\"437ebd7bcfd48215\",\"beam_beam_dt_rate_per_s\":7.460585118685702e15,\"beam_beam_dt_rate_per_s_hex\":\"433a815cd5d0da06\",\"dt_rate_per_s\":3.551059275488673e17,\"dt_rate_per_s_hex\":\"4393b65bd6b4be4c\",\"dt_fusion_power_w\":1.000712822034413e6,\"dt_fusion_power_w_hex\":\"412e8a11a4e1b1d0\",\"dd_neutron_rate_per_s\":1.01244400973979e15,\"dd_neutron_rate_per_s_hex\":\"430cc67fec71b070\",\"dd_fusion_power_w\":1.1420502859243438e3,\"dd_fusion_power_w_hex\":\"4091d8337e274206\",\"neutron_rate_per_s\":3.561183715586071e17,\"neutron_rate_per_s_hex\":\"4393c4bf16aaf724\",\"fast_ion_count\":1.1520978280791665e19,\"fast_ion_count_hex\":\"43e3fc579694727d\",\"fast_ion_energy_j\":1.2495653668072724e5,\"fast_ion_energy_j_hex\":\"40fe81c8963e87be\",\"fast_ion_energy_time_s\":1.0955761177840731e-1,\"fast_ion_energy_time_s_hex\":\"3fbc0bf7b79dba4a\",\"beam_power_to_electrons_w\":1.507946567626004e5,\"beam_power_to_electrons_w_hex\":\"41026855410cc010\",\"beam_power_to_ions_w\":8.057485065496905e5,\"beam_power_to_ions_w_hex\":\"412896e9035a7b25\",\"beam_power_thermalised_w\":1.82128425268999e5,\"beam_power_thermalised_w_hex\":\"41063b8366f36ed6\",\"beam_target_fused_fraction\":2.0468593782296813e-3,\"beam_target_fused_fraction_hex\":\"3f60c49342d925ff\",\"beam_beam_fused_fraction\":1.0986072127226478e-4,\"beam_beam_fused_fraction_hex\":\"3f1ccca0d1e61b3d\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":1.0580086848204473e-1,\"charge_excess_max_hex\":\"3fbb15c40604ceb8\",\"charge_excess_min\":-1.8675557360200587e-2,\"charge_excess_min_hex\":\"bf931faf7062f3ec\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.7663376375270403e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43839c3bc73e8fc1\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.3176028845028767e-6,\"power_ledger_residual_hex\":\"beb61b0fb13ab60d\"},\"field_sha256\":\"9ca7a328203a5740ad7e951171c17bab18d2efde6545debdd51810921a306759\",\"seal_parts\":{\"inputs\":\"501001583db944d80729d5a8f8448255116ccffa27f8d054e192b1b868f3ae4f\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"841216342479c9205bbe2b1f01574150c2de67385876bb9ccac272ae199617f0\",\"invariants\":\"640ffb915b3df7295288bcbe0a5bc504350786ad3c7ea05173aef073ed32eeff\",\"field_sha256\":\"2c7ee51af160dc509560b52da08795735ea5986da5e2edfa9c64f4e6fa2e41b2\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"29dc3f0b7c4288cf0d66062c787117ff280e8a000b1734be2930114fac881ba6\",\"receipt_sha256\":\"01129a10df2444d4ea1f140fd0386bd7661062af1c58a484420483b82f5d7ce0\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.030985951219508e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: in shell 1 the thermal ions alone carry 0.02500000000000102 of the electron density more charge than the electrons, above the allowance of 0.025 (QUASI_NEUTRALITY_ALLOWANCE) by more than 4 units in the last place: quasi-neutrality cannot hold (ThermalChargeExceedsElectrons).", "outside_answer_is_error": true}
{"id": "edge-c28cbb27e9e7", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.electron_density_per_m3[1]", "input_unit": "m^-3", "whole_number_input": false, "base_value": 4.47374e+19, "edge_kind": "declared_limit", "direction": "up", "inside_value": 5.663774474447078e+19, "inside_value_hex": "4408900d861fab6d", "outside_value": 5.663774474447079e+19, "outside_value_hex": "4408900d861fab6e", "width": 8192.0, "adjacent_64_bit_numbers": true, "stop_name": "IonChargeBelowElectrons", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (IonChargeBelowElectrons). in shell 1 the thermal ions and the fast ions this solve finds carry 0.21500000000000075 of the electron density less charge than the electrons, above the allowance of 0.215 (QUASI_NEUTRALITY_DEFICIT_ALLOWANCE), the largest shortfall on a slice compared: quasi-neutrality cannot hold, and the ions the question leaves out would slow and meet the beam.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "549c76a448d2c38d80537e258fc134090b6aa6a910e8b85723160e533b92f2d1", "outside_proof": "d2a65d702ab4a5c56bcf5cacd3982422b79ca425b19335f13b40fd1f8396eda8", "inside_receipt": "5d575239c5848c5d845800f866bb3f984dd0a4385ea7f4154409d1a618eec250", "outside_receipt": "13b0425076316a04340f2d3e93f425a3d56c419d1e3dc99025bf3e82859fe38a", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:47:49Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 5.663774474447078e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,5.663774474447078e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.3619927034717538e17,\"beam_target_dt_rate_per_s_hex\":\"437e3e083c7b5f5d\",\"beam_beam_dt_rate_per_s\":7.262246114290878e15,\"beam_beam_dt_rate_per_s_hex\":\"4339ccf96fe9ecbe\",\"dt_rate_per_s\":3.5266543862352954e17,\"dt_rate_per_s_hex\":\"439393ad6446d9e9\",\"dt_fusion_power_w\":9.938353571143649e5,\"dt_fusion_power_w_hex\":\"412e5456b6d7b1ac\",\"dd_neutron_rate_per_s\":1.0076094140140779e15,\"dd_neutron_rate_per_s_hex\":\"430ca352c98ea3ef\",\"dd_fusion_power_w\":1.1366343041807183e3,\"dd_fusion_power_w_hex\":\"4091c2898708ff9b\",\"neutron_rate_per_s\":3.536730480375436e17,\"neutron_rate_per_s_hex\":\"4393a1ff0daba13b\",\"fast_ion_count\":1.1390968085588853e19,\"fast_ion_count_hex\":\"43e3c29b23e6aab8\",\"fast_ion_energy_j\":1.2312150875977895e5,\"fast_ion_energy_j_hex\":\"40fe0f1823e14b42\",\"fast_ion_energy_time_s\":1.0794872214441029e-1,\"fast_ion_energy_time_s_hex\":\"3fbba287074156f6\",\"beam_power_to_electrons_w\":1.597822757009639e5,\"beam_power_to_electrons_w_hex\":\"4103813234a2b4fb\",\"beam_power_to_ions_w\":7.967861064710029e5,\"beam_power_to_ions_w_hex\":\"412850e436835e07\",\"beam_power_thermalised_w\":1.8213831495868482e5,\"beam_power_thermalised_w_hex\":\"41063bd285090f17\",\"beam_target_fused_fraction\":2.0137057243199094e-3,\"beam_target_fused_fraction_hex\":\"3f607f0c0759e1f5\",\"beam_beam_fused_fraction\":1.0694008358331676e-4,\"beam_beam_fused_fraction_hex\":\"3f1c08a0a58032e2\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-2.1500000000000058e-1,\"charge_excess_min_hex\":\"bfcb851eb851eb9a\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.7449290887592086e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43835f63024afdaf\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.281106121634683e-6,\"power_ledger_residual_hex\":\"beb57e4f13c0419e\"},\"field_sha256\":\"f14754043c01376e891c60b6d0daf8529d06273b53fa12915d806f821f6e0dc3\",\"seal_parts\":{\"inputs\":\"641d4bd655f36feacbf85034e62cab33f823b4fb2c13d1b5a1f6d8f0c03ea9c0\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"24f5fa37b8b9f3b9ec0a9403c47166061bbbf98346a5a6ce39284f9eab60e519\",\"invariants\":\"a32a1dc33a06b82da348a77e51f962dcdbb291a42065087e1bc46b1516fc58d5\",\"field_sha256\":\"6c11711ad9763cec4a5fbb834b91e7482d876dedd69cd57e674fdc50cdcab0f5\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"549c76a448d2c38d80537e258fc134090b6aa6a910e8b85723160e533b92f2d1\",\"receipt_sha256\":\"5d575239c5848c5d845800f866bb3f984dd0a4385ea7f4154409d1a618eec250\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 5.663774474447079e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,5.663774474447079e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"IonChargeBelowElectrons\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (IonChargeBelowElectrons). in shell 1 the thermal ions and the fast ions this solve finds carry 0.21500000000000075 of the electron density less charge than the electrons, above the allowance of 0.215 (QUASI_NEUTRALITY_DEFICIT_ALLOWANCE), the largest shortfall on a slice compared: quasi-neutrality cannot hold, and the ions the question leaves out would slow and meet the beam.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"21ece3ea7aebcd3072546bf991a9adbc1aa2c71acce74c63e9c8bc06d7cfab27\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"8cbead3dab47ecce4fa397da048d806f2c5a3561b4d60e9a41b3008a714d2a07\"},\"solution_seal\":\"d2a65d702ab4a5c56bcf5cacd3982422b79ca425b19335f13b40fd1f8396eda8\",\"receipt_sha256\":\"13b0425076316a04340f2d3e93f425a3d56c419d1e3dc99025bf3e82859fe38a\"}", "outside_answer_is_error": false}
{"id": "edge-c395bfba2bfb", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.electron_density_per_m3[2]", "input_unit": "m^-3", "whole_number_input": false, "base_value": 5.06836e+19, "edge_kind": "declared_limit", "direction": "down", "inside_value": 4.627543414634143e+19, "inside_value_hex": "4404119af16d3d4d", "outside_value": 4.627543414634142e+19, "outside_value_hex": "4404119af16d3d4c", "width": 8192.0, "adjacent_64_bit_numbers": true, "stop_name": "ThermalChargeExceedsElectrons", "stop_sentence": "Physical Violation: in shell 2 the thermal ions alone carry 0.02500000000000102 of the electron density more charge than the electrons, above the allowance of 0.025 (QUASI_NEUTRALITY_ALLOWANCE) by more than 4 units in the last place: quasi-neutrality cannot hold (ThermalChargeExceedsElectrons).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "ae923fe9b35cd649642d392bd3d0f8871ea035b8bbd18357f4836fdd87f7fd5f", "outside_proof": null, "inside_receipt": "5692bd070dc9487940c85cd8a44d0f56b948d65ed64b922ac32cb271017b591a", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:47:51Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 4.627543414634143e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,4.627543414634143e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.388506404468311e17,\"beam_target_dt_rate_per_s_hex\":\"437ed4bebfcab3a0\",\"beam_beam_dt_rate_per_s\":7.483126789664421e15,\"beam_beam_dt_rate_per_s_hex\":\"433a95dd3a1b6ea5\",\"dt_rate_per_s\":3.5553768939855885e17,\"dt_rate_per_s_hex\":\"4393bc7e94437502\",\"dt_fusion_power_w\":1.0019295564945613e6,\"dt_fusion_power_w_hex\":\"412e93931cecdaea\",\"dd_neutron_rate_per_s\":1.012550436427531e15,\"dd_neutron_rate_per_s_hex\":\"430cc74628a4b858\",\"dd_fusion_power_w\":1.142187686270571e3,\"dd_fusion_power_w_hex\":\"4091d8c030d4680b\",\"neutron_rate_per_s\":3.565502398349864e17,\"neutron_rate_per_s_hex\":\"4393cae23757c75e\",\"fast_ion_count\":1.1548252911523803e19,\"fast_ion_count_hex\":\"43e408745acef7e6\",\"fast_ion_energy_j\":1.2537382674160323e5,\"fast_ion_energy_j_hex\":\"40fe9bdd3a556742\",\"fast_ion_energy_time_s\":1.0992347741219365e-1,\"fast_ion_energy_time_s_hex\":\"3fbc23f1ec8c4787\",\"beam_power_to_electrons_w\":1.4776989525765806e5,\"beam_power_to_electrons_w_hex\":\"410209cf297cd8d7\",\"beam_power_to_ions_w\":8.087655717618086e5,\"beam_power_to_ions_w_hex\":\"4128ae7b24bdf6ba\",\"beam_power_thermalised_w\":1.821291673895121e5,\"beam_power_thermalised_w_hex\":\"41063b8956d05001\",\"beam_target_fused_fraction\":2.0528887712611436e-3,\"beam_target_fused_fraction_hex\":\"3f60d13844510986\",\"beam_beam_fused_fraction\":1.1019265827090604e-4,\"beam_beam_fused_fraction_hex\":\"3f1ce2e77441f447\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.025811876511062e-2,\"charge_excess_max_hex\":\"3fb48bcbcb55aa93\",\"charge_excess_min\":-1.8675557360200587e-2,\"charge_excess_min_hex\":\"bf931faf7062f3ec\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,5.091555220075584e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"43669c6d994f0150\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":9.80118763926896e-17,\"particle_ledger_residual_hex\":\"3c9c400000000000\",\"energy_ledger_residual\":2.033334236406503e-6,\"energy_ledger_residual_hex\":\"3ec10e8d516b3333\",\"power_ledger_residual\":-1.329090312830404e-6,\"power_ledger_residual_hex\":\"beb64c6640d9ad07\"},\"field_sha256\":\"949873c34f229102909bb236b08007f9d0a773d1a9be70e0c88829bfb5744ed8\",\"seal_parts\":{\"inputs\":\"6b37861dfbc675233731e95e3291c3913ccd8da8f23380dc218f273dfc54140b\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"aad17121173e9b24c100ca97d15534af558989f358d2137064dd3b51cff2bbe1\",\"invariants\":\"b2264dc7f1631f4b90d62c0456390752ee8dfea8d7b90d7430e05c82534ad31f\",\"field_sha256\":\"a2d0b277b6425c11f9b6646aaf4aa68b53fab91d9116fdc4b636a69da5df39b0\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"ae923fe9b35cd649642d392bd3d0f8871ea035b8bbd18357f4836fdd87f7fd5f\",\"receipt_sha256\":\"5692bd070dc9487940c85cd8a44d0f56b948d65ed64b922ac32cb271017b591a\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 4.627543414634142e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: in shell 2 the thermal ions alone carry 0.02500000000000102 of the electron density more charge than the electrons, above the allowance of 0.025 (QUASI_NEUTRALITY_ALLOWANCE) by more than 4 units in the last place: quasi-neutrality cannot hold (ThermalChargeExceedsElectrons).", "outside_answer_is_error": true}
{"id": "edge-635a59d8694a", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.electron_density_per_m3[2]", "input_unit": "m^-3", "whole_number_input": false, "base_value": 5.06836e+19, "edge_kind": "declared_limit", "direction": "up", "inside_value": 6.3539176135675494e+19, "inside_value_hex": "440b8e4400673f52", "outside_value": 6.35391761356755e+19, "outside_value_hex": "440b8e4400673f53", "width": 8192.0, "adjacent_64_bit_numbers": true, "stop_name": "IonChargeBelowElectrons", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (IonChargeBelowElectrons). in shell 2 the thermal ions and the fast ions this solve finds carry 0.21500000000000075 of the electron density less charge than the electrons, above the allowance of 0.215 (QUASI_NEUTRALITY_DEFICIT_ALLOWANCE), the largest shortfall on a slice compared: quasi-neutrality cannot hold, and the ions the question leaves out would slow and meet the beam.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "541144262317bee3202906dac0e262d94d61e7e4165cb15325ac2a622a88e085", "outside_proof": "afff211fc0f5758f35e194e9b0b0d5ab2e387682486bf936886257f9f66be91b", "inside_receipt": "039a511b4c087ab4dd809059327e46cd50f8d782b2b83cfa109c5b52c8ab09cc", "outside_receipt": "9048154b907262aa7c06a921ab2d8a05a5c150f40b669060814a7a3ea8b59c9c", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:47:53Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 6.3539176135675494e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,6.3539176135675494e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.3500675692209467e17,\"beam_target_dt_rate_per_s_hex\":\"437dfa3ee1c9e745\",\"beam_beam_dt_rate_per_s\":7.194663985412e15,\"beam_beam_dt_rate_per_s_hex\":\"43398f823f20f7a0\",\"dt_rate_per_s\":3.514053430695699e17,\"dt_rate_per_s_hex\":\"439381c530d7580e\",\"dt_fusion_power_w\":9.902843215500193e5,\"dt_fusion_power_w_hex\":\"412e3898a4a23442\",\"dd_neutron_rate_per_s\":1.0071457180774208e15,\"dd_neutron_rate_per_s_hex\":\"430c9ff3161abf66\",\"dd_fusion_power_w\":1.1360642328831382e3,\"dd_fusion_power_w_hex\":\"4091c041c643d1a0\",\"neutron_rate_per_s\":3.5241248878764736e17,\"neutron_rate_per_s_hex\":\"439390152a62656e\",\"fast_ion_count\":1.1310389046107494e19,\"fast_ion_count_hex\":\"43e39ed25d32969b\",\"fast_ion_energy_j\":1.2191431701802243e5,\"fast_ion_energy_j_hex\":\"40fdc3a512817d69\",\"fast_ion_energy_time_s\":1.0689029776983446e-1,\"fast_ion_energy_time_s_hex\":\"3fbb5d299d2e5f3d\",\"beam_power_to_electrons_w\":1.6846530913653714e5,\"beam_power_to_electrons_w_hex\":\"4104908a791c93a8\",\"beam_power_to_ions_w\":7.881248208480836e5,\"beam_power_to_ions_w_hex\":\"41280d39a4463334\",\"beam_power_thermalised_w\":1.8213661893782194e5,\"beam_power_thermalised_w_hex\":\"41063bc4f395ac3c\",\"beam_target_fused_fraction\":1.9961311028129022e-3,\"beam_target_fused_fraction_hex\":\"3f605a30b9c375b0\",\"beam_beam_fused_fraction\":1.0594490407586056e-4,\"beam_beam_fused_fraction_hex\":\"3f1bc5d797bd764f\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-2.150000000000007e-1,\"charge_excess_min_hex\":\"bfcb851eb851eb9e\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,4.898439583366646e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"4365c0e18d267d74\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":9.80118763926896e-17,\"particle_ledger_residual_hex\":\"3c9c400000000000\",\"energy_ledger_residual\":1.8682697144667414e-6,\"energy_ledger_residual_hex\":\"3ebf5828465e6666\",\"power_ledger_residual\":-1.2487179292932368e-6,\"power_ledger_residual_hex\":\"beb4f333e210e4e1\"},\"field_sha256\":\"9bd99ef9956a284d58dd69b436b47797b66b2fd77ea19e75034d8ec139971b5b\",\"seal_parts\":{\"inputs\":\"ce4cfa4d71415b868821eaafcebf349ee0964d8815667106eec6884b339681c7\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"7dfbec77818ff8a2f2124d76812da7140afee1303e080393001b909fe74058c6\",\"invariants\":\"e138ad725b29ce0deaefe9a65855d1d3299a42e620f2c3aba2c0dfbd0a81012e\",\"field_sha256\":\"99aa31072094d0c69f516e2d077b37d046e46e1a7b276ba0d8a5f7aafe39b6eb\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"541144262317bee3202906dac0e262d94d61e7e4165cb15325ac2a622a88e085\",\"receipt_sha256\":\"039a511b4c087ab4dd809059327e46cd50f8d782b2b83cfa109c5b52c8ab09cc\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 6.35391761356755e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,6.35391761356755e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"IonChargeBelowElectrons\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (IonChargeBelowElectrons). in shell 2 the thermal ions and the fast ions this solve finds carry 0.21500000000000075 of the electron density less charge than the electrons, above the allowance of 0.215 (QUASI_NEUTRALITY_DEFICIT_ALLOWANCE), the largest shortfall on a slice compared: quasi-neutrality cannot hold, and the ions the question leaves out would slow and meet the beam.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"13df6abb9cbdd1484d1c29a0af2eac971a4c9ff6d895886483fe886151a22298\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"8cbead3dab47ecce4fa397da048d806f2c5a3561b4d60e9a41b3008a714d2a07\"},\"solution_seal\":\"afff211fc0f5758f35e194e9b0b0d5ab2e387682486bf936886257f9f66be91b\",\"receipt_sha256\":\"9048154b907262aa7c06a921ab2d8a05a5c150f40b669060814a7a3ea8b59c9c\"}", "outside_answer_is_error": false}
{"id": "edge-b1cecad7057a", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.electron_density_per_m3[3]", "input_unit": "m^-3", "whole_number_input": false, "base_value": 4.15438e+19, "edge_kind": "declared_limit", "direction": "down", "inside_value": 3.929239024390241e+19, "inside_value_hex": "44010a54e5f97e9e", "outside_value": 3.92923902439024e+19, "outside_value_hex": "44010a54e5f97e9d", "width": 8192.0, "adjacent_64_bit_numbers": true, "stop_name": "ThermalChargeExceedsElectrons", "stop_sentence": "Physical Violation: in shell 3 the thermal ions alone carry 0.02500000000000102 of the electron density more charge than the electrons, above the allowance of 0.025 (QUASI_NEUTRALITY_ALLOWANCE) by more than 4 units in the last place: quasi-neutrality cannot hold (ThermalChargeExceedsElectrons).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "ab64edf32a56bcaf9c63fca3231d44307518025c10e9fe7c034b54dbeb09ec4c", "outside_proof": null, "inside_receipt": "e23b307652a1c7c16eb32f1b0790676c22faa5b147649121430c0d8b24b23729", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:47:55Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 3.929239024390241e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,3.929239024390241e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.3800752441442e17,\"beam_target_dt_rate_per_s_hex\":\"437ea4d1cbd0d742\",\"beam_beam_dt_rate_per_s\":7.409693699095498e15,\"beam_beam_dt_rate_per_s_hex\":\"433a5313c0d43bca\",\"dt_rate_per_s\":3.546211402755788e17,\"dt_rate_per_s_hex\":\"4393af78315fe11f\",\"dt_fusion_power_w\":9.993466582993057e5,\"dt_fusion_power_w_hex\":\"412e7f65510c9b4a\",\"dd_neutron_rate_per_s\":1.01133725622581e15,\"dd_neutron_rate_per_s_hex\":\"430cbe726f3e6090\",\"dd_fusion_power_w\":1.1408148466271916e3,\"dd_fusion_power_w_hex\":\"4091d34267277c2d\",\"neutron_rate_per_s\":3.556324775318046e17,\"neutron_rate_per_s_hex\":\"4393bdd76a97804f\",\"fast_ion_count\":1.1503374268671007e19,\"fast_ion_count_hex\":\"43e3f4863e655023\",\"fast_ion_energy_j\":1.2469163350363376e5,\"fast_ion_energy_j_hex\":\"40fe713a22d4b4ce\",\"fast_ion_energy_time_s\":1.0932535374528794e-1,\"fast_ion_energy_time_s_hex\":\"3fbbfcbf12f5ab27\",\"beam_power_to_electrons_w\":1.5202799594213947e5,\"beam_power_to_electrons_w_hex\":\"41028edff7b0832e\",\"beam_power_to_ions_w\":8.045195580458571e5,\"beam_power_to_ions_w_hex\":\"41288d4f1db82fc4\",\"beam_power_thermalised_w\":1.8213096754745118e5,\"beam_power_thermalised_w_hex\":\"41063b97bd8984a1\",\"beam_target_fused_fraction\":2.0404388099576373e-3,\"beam_target_fused_fraction_hex\":\"3f60b71c3eaa0b07\",\"beam_beam_fused_fraction\":1.0911132052503034e-4,\"beam_beam_fused_fraction_hex\":\"3f1c9a56368e9b7b\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":3.7718915041335364e-2,\"charge_excess_max_hex\":\"3fa34fe4c516162b\",\"charge_excess_min\":-1.4277474285557187e-2,\"charge_excess_min_hex\":\"bf8d3d822901f198\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,5.039772763669543e16,5.109184724828882e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"433226c6c49d82d2\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.310949513797753e-6,\"power_ledger_residual_hex\":\"beb5fe7c3bdd751e\"},\"field_sha256\":\"5b99469438683dc5306d9962b2478adae79d936953c5a77b05e4dd0dea7f77b0\",\"seal_parts\":{\"inputs\":\"acb2063a3522f8c77782a43c4cbcb19e359233492a48a22e50c3b97ea836ebac\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"7536f4d6ff822f776839a4f9f53b8089d588077deecb7bc523d680d265769551\",\"invariants\":\"4b1c82dffa995955c77bf1b43e7dd0f76c19644b7858241175eaaf24dff7c956\",\"field_sha256\":\"d55aee9cbd5f91cf3bf11a351ed3413bf6bd4be1d166a45ceae9afbda3cc70ef\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"ab64edf32a56bcaf9c63fca3231d44307518025c10e9fe7c034b54dbeb09ec4c\",\"receipt_sha256\":\"e23b307652a1c7c16eb32f1b0790676c22faa5b147649121430c0d8b24b23729\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 3.92923902439024e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: in shell 3 the thermal ions alone carry 0.02500000000000102 of the electron density more charge than the electrons, above the allowance of 0.025 (QUASI_NEUTRALITY_ALLOWANCE) by more than 4 units in the last place: quasi-neutrality cannot hold (ThermalChargeExceedsElectrons).", "outside_answer_is_error": true}
{"id": "edge-59cab9fb6f3a", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.electron_density_per_m3[3]", "input_unit": "m^-3", "whole_number_input": false, "base_value": 4.15438e+19, "edge_kind": "declared_limit", "direction": "up", "inside_value": 5.189889384283163e+19, "inside_value_hex": "440681ef47d2cd7f", "outside_value": 5.189889384283164e+19, "outside_value_hex": "440681ef47d2cd80", "width": 8192.0, "adjacent_64_bit_numbers": true, "stop_name": "IonChargeBelowElectrons", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (IonChargeBelowElectrons). in shell 3 the thermal ions and the fast ions this solve finds carry 0.21500000000000075 of the electron density less charge than the electrons, above the allowance of 0.215 (QUASI_NEUTRALITY_DEFICIT_ALLOWANCE), the largest shortfall on a slice compared: quasi-neutrality cannot hold, and the ions the question leaves out would slow and meet the beam.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "5bacde603e5bc017cbcfd3df6dbdb7887b59e00a0e5cf138fd092b5f6f4c3858", "outside_proof": "b9f1fa01bb26802856d6c630afe5932e090c5b959e5427d639acdf583dea2fd0", "inside_receipt": "14b2e5c650329a818cac7f4c6a3782bbcba357dd32dd54366ab6f0e920f44a93", "outside_receipt": "13a3efced6ca138a789b9d20d0d04d0fa07b0c83800216473bb2a34ecd64c656", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:47:57Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 5.189889384283163e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,5.189889384283163e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.3704898644010771e17,\"beam_target_dt_rate_per_s_hex\":\"437e6e553b99706c\",\"beam_beam_dt_rate_per_s\":7.387920215120933e15,\"beam_beam_dt_rate_per_s_hex\":\"433a3f46380d1c25\",\"dt_rate_per_s\":3.5364082881729197e17,\"dt_rate_per_s_hex\":\"4393a189d72eeaeb\",\"dt_fusion_power_w\":9.965840734766125e5,\"dt_fusion_power_w_hex\":\"412e69d0259eb9ff\",\"dd_neutron_rate_per_s\":1.0102161187289242e15,\"dd_neutron_rate_per_s_hex\":\"430cb64a2739c6e2\",\"dd_fusion_power_w\":1.1395365599593028e3,\"dd_fusion_power_w_hex\":\"4091ce256ff95632\",\"neutron_rate_per_s\":3.5465104493602086e17,\"neutron_rate_per_s_hex\":\"4393afe4fc4287ce\",\"fast_ion_count\":1.140915871190832e19,\"fast_ion_count_hex\":\"43e3caaf2cce2b28\",\"fast_ion_energy_j\":1.2343442741938605e5,\"fast_ion_energy_j_hex\":\"40fe22a6d6b5b5cc\",\"fast_ion_energy_time_s\":1.0822307850813577e-1,\"fast_ion_energy_time_s_hex\":\"3fbbb481f6dd6903\",\"beam_power_to_electrons_w\":1.587581755409061e5,\"beam_power_to_electrons_w_hex\":\"410361316781fd96\",\"beam_power_to_ions_w\":7.978029750555701e5,\"beam_power_to_ions_w_hex\":\"412858d5f33a7bd3\",\"beam_power_thermalised_w\":1.821319766712511e5,\"beam_power_thermalised_w_hex\":\"41063b9fd0390453\",\"beam_target_fused_fraction\":2.026291616334821e-3,\"beam_target_fused_fraction_hex\":\"3f609971072d9aeb\",\"beam_beam_fused_fraction\":1.0879069545125902e-4,\"beam_beam_fused_fraction_hex\":\"3f1c84d1ea91eab4\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-2.1500000000000058e-1,\"charge_excess_min_hex\":\"bfcb851eb851eb9a\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,5.039772763669543e16,4.757237077179232e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"4330e6ae9218fb60\"]},\"invariants\":{\"particle_ledger_residual\":2.2789929665645303e-16,\"particle_ledger_residual_hex\":\"3cb06c0000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.2918693007504914e-6,\"power_ledger_residual_hex\":\"beb5ac8951578a6e\"},\"field_sha256\":\"9916b1c847c4d36c40d90bf3183bc0352e2ccca1bcb8e15af29f99a70b27b218\",\"seal_parts\":{\"inputs\":\"10fc6a22627aa87a3ec9135320adc5855253273b14024e10b6fa6a63b57f3af2\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"01f422b2177326e8ff580a84a76454733a87e19c3ad2e4995928c2e48aa1ab14\",\"invariants\":\"3f1e10d96931165b9bbe02542ec9f22d315ab1edf33ac7ea61cfcf0d5dbd7625\",\"field_sha256\":\"5a234a489d4e3302bbc2e434a4ed7930ada09833dc7b63aa6a9ff0a144d7955e\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"5bacde603e5bc017cbcfd3df6dbdb7887b59e00a0e5cf138fd092b5f6f4c3858\",\"receipt_sha256\":\"14b2e5c650329a818cac7f4c6a3782bbcba357dd32dd54366ab6f0e920f44a93\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 5.189889384283164e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,5.189889384283164e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"IonChargeBelowElectrons\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (IonChargeBelowElectrons). in shell 3 the thermal ions and the fast ions this solve finds carry 0.21500000000000075 of the electron density less charge than the electrons, above the allowance of 0.215 (QUASI_NEUTRALITY_DEFICIT_ALLOWANCE), the largest shortfall on a slice compared: quasi-neutrality cannot hold, and the ions the question leaves out would slow and meet the beam.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"9ca9b556d3a16958b1deda867366b6f90a263aefdb417e84b67f03e99279efe4\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"8cbead3dab47ecce4fa397da048d806f2c5a3561b4d60e9a41b3008a714d2a07\"},\"solution_seal\":\"b9f1fa01bb26802856d6c630afe5932e090c5b959e5427d639acdf583dea2fd0\",\"receipt_sha256\":\"13a3efced6ca138a789b9d20d0d04d0fa07b0c83800216473bb2a34ecd64c656\"}", "outside_answer_is_error": false}
{"id": "edge-b364f81fc3b6", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.deuterium_density_per_m3[0]", "input_unit": "m^-3", "whole_number_input": false, "base_value": 1.69228e+19, "edge_kind": "declared_limit", "direction": "down", "inside_value": 1.3587931321689342e+19, "inside_value_hex": "43e79240f171b650", "outside_value": 1.358793132168934e+19, "outside_value_hex": "43e79240f171b64f", "width": 2048.0, "adjacent_64_bit_numbers": true, "stop_name": "BeamChangeTooRecent", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "ed8c616c00437c5c4063bf97888a78800465d83fe8c15f3c732319e177146928", "outside_proof": "a358f03fedb2f2d97e16dc4ff7590f5b2975617942f032a362d644ed3ca65c8d", "inside_receipt": "3bc4dddef2d805b3312a144dccbfa46736be2fc836db6fe53a8ee7baf73b2e48", "outside_receipt": "8fd3a323ef71c2cba47603e5a6037cbb28f68436823ebc001d418a8eb8d016f0", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:47:59Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.3587931321689342e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.3587931321689342e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.0572107007370445e17,\"thermal_dt_rate_per_s_hex\":\"4386d6f1c9447380\",\"beam_target_dt_rate_per_s\":1.3726742414761722e17,\"beam_target_dt_rate_per_s_hex\":\"437e7abfeb78d35c\",\"beam_beam_dt_rate_per_s\":7.6595162817857e15,\"beam_beam_dt_rate_per_s_hex\":\"433b364a1b208d64\",\"dt_rate_per_s\":3.506480105031074e17,\"dt_rate_per_s_hex\":\"4393770207ecf0cd\",\"dt_fusion_power_w\":9.881501065144255e5,\"dt_fusion_power_w_hex\":\"412e27ec36890f0c\",\"dd_neutron_rate_per_s\":9.842186526460622e14,\"dd_neutron_rate_per_s_hex\":\"430bf9221960d572\",\"dd_fusion_power_w\":1.1104148004367262e3,\"dd_fusion_power_w_hex\":\"409159a8c172186c\",\"neutron_rate_per_s\":3.516322291557535e17,\"neutron_rate_per_s_hex\":\"439384fe98f9a138\",\"fast_ion_count\":1.1577441028469393e19,\"fast_ion_count_hex\":\"43e4156aa8d0be71\",\"fast_ion_energy_j\":1.2552953833e5,\"fast_ion_energy_j_hex\":\"40fea5989cffeb07\",\"fast_ion_energy_time_s\":1.1005999999999999e-1,\"fast_ion_energy_time_s_hex\":\"3fbc2ce4649906cc\",\"beam_power_to_electrons_w\":1.5396748649819256e5,\"beam_power_to_electrons_w_hex\":\"4102cb7be4592a15\",\"beam_power_to_ions_w\":8.025914034682536e5,\"beam_power_to_ions_w_hex\":\"41287e3ece936414\",\"beam_power_thermalised_w\":1.821337592932051e5,\"beam_power_thermalised_w_hex\":\"41063bae130850e0\",\"beam_target_fused_fraction\":2.029419119656457e-3,\"beam_target_fused_fraction_hex\":\"3f60a00017f62ec2\",\"beam_beam_fused_fraction\":1.127900787843129e-4,\"beam_beam_fused_fraction_hex\":\"3f1d9136cc7c07b6\",\"fast_ion_fraction_max\":1.4825382318352928e-1,\"fast_ion_fraction_max_hex\":\"3fc2f9fb350a44cf\",\"charge_excess_max\":-4.338027550085284e-3,\"charge_excess_max_hex\":\"bf71c4c0674ee708\",\"charge_excess_min\":-6.1220299281307226e-2,\"charge_excess_min_hex\":\"bfaf58445e8772af\",\"dt_rate_density_per_m3_s\":[1.516300947309805e17,1.760405019827982e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"4380d596246d9765\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.310037949402723e-6,\"power_ledger_residual_hex\":\"beb5fa91f54c574b\"},\"field_sha256\":\"db96a758c370b532e27793802921d200420cf372db99e8c9af5f2560a032de0d\",\"seal_parts\":{\"inputs\":\"f28906c4d24a7cabef4fd605c204b2991784e62b2519988320821ddcbf1e830c\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"188b9fcdcd7a184503d7eeb5bbcb23e7b54fbca5e3b1ee3df1445cdc3c6c5c01\",\"invariants\":\"66a67192ebf33a2c389375f7d5459459ad3a29276ab4257a4ad622c070ba9f39\",\"field_sha256\":\"fe657558627392e02d4e69365c49f0ccab5a5469eee0287ca8c13ed66703de21\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"ed8c616c00437c5c4063bf97888a78800465d83fe8c15f3c732319e177146928\",\"receipt_sha256\":\"3bc4dddef2d805b3312a144dccbfa46736be2fc836db6fe53a8ee7baf73b2e48\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.358793132168934e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.358793132168934e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"BeamChangeTooRecent\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"d583b9034517cf6846f5f7dc6255d3d1495a633edee1a6017414960263588812\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"23c683add5c24deba84ac07dad766a5778ea93f386dafdd350dcf1a4833e550e\"},\"solution_seal\":\"a358f03fedb2f2d97e16dc4ff7590f5b2975617942f032a362d644ed3ca65c8d\",\"receipt_sha256\":\"8fd3a323ef71c2cba47603e5a6037cbb28f68436823ebc001d418a8eb8d016f0\"}", "outside_answer_is_error": false}
{"id": "edge-fe5d56b15543", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.deuterium_density_per_m3[0]", "input_unit": "m^-3", "whole_number_input": false, "base_value": 1.69228e+19, "edge_kind": "declared_limit", "direction": "up", "inside_value": 2.2087158550442385e+19, "inside_value_hex": "43f328559adc8d9a", "outside_value": 2.208715855044239e+19, "outside_value_hex": "43f328559adc8d9b", "width": 4096.0, "adjacent_64_bit_numbers": true, "stop_name": "IonChargeExceedsElectrons", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (IonChargeExceedsElectrons). in shell 0 the thermal ions and the fast ions this solve finds carry 0.12000000000000033 of the electron density more charge than the electrons, above the allowance of 0.12 (QUASI_NEUTRALITY_FAST_ION_ALLOWANCE), the largest excess on a slice compared: quasi-neutrality cannot hold.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "37676bf163ab0491cf8df01a1001a98c760a06da66e7ee08a4a64cdff4cdd893", "outside_proof": "a0cfcf4f8abbf6e38dc490a837e1d58373b5efea0a18f389b9029523f0420626", "inside_receipt": "22536b4485c8264dbc52ae978d5e997df7bae776ea2b4748097402c29f52c895", "outside_receipt": "ab0c31ef8611c6fbc4280ea1d8359246490100d2a5e2cf35015ca13fc26eca7e", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:48:00Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [2.2087158550442385e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[2.2087158550442385e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.1459744697442675e17,\"thermal_dt_rate_per_s_hex\":\"4387d339eda4ee74\",\"beam_target_dt_rate_per_s\":1.3851928180706958e17,\"beam_target_dt_rate_per_s_hex\":\"437ec1e8d8aa7119\",\"beam_beam_dt_rate_per_s\":7.11707479435649e15,\"beam_beam_dt_rate_per_s_hex\":\"433948f11af51f0a\",\"dt_rate_per_s\":3.602338035758528e17,\"dt_rate_per_s_hex\":\"4393ff3af168e7fc\",\"dt_fusion_power_w\":1.0151635278433186e6,\"dt_fusion_power_w_hex\":\"412efaf70e417abe\",\"dd_neutron_rate_per_s\":1.0614339176037972e15,\"dd_neutron_rate_per_s_hex\":\"430e2af2bce3feaa\",\"dd_fusion_power_w\":1.1969610942480438e3,\"dd_fusion_power_w_hex\":\"4092b3d829172ee3\",\"neutron_rate_per_s\":3.612952374934566e17,\"neutron_rate_per_s_hex\":\"43940e506ac759fb\",\"fast_ion_count\":1.136926450316814e19,\"fast_ion_count_hex\":\"43e3b8f7ba849970\",\"fast_ion_energy_j\":1.2308923465265892e5,\"fast_ion_energy_j_hex\":\"40fe0d13c1232580\",\"fast_ion_energy_time_s\":1.0792042531262962e-1,\"fast_ion_energy_time_s_hex\":\"3fbba0ac4949c483\",\"beam_power_to_electrons_w\":1.5252600890281494e5,\"beam_power_to_electrons_w_hex\":\"41029e70123ba398\",\"beam_power_to_ions_w\":8.04013360824043e5,\"beam_power_to_ions_w_hex\":\"4128895ab8bdedd1\",\"beam_power_thermalised_w\":1.8212788503058805e5,\"beam_power_thermalised_w_hex\":\"41063b7f148aeabd\",\"beam_target_fused_fraction\":2.048112744712225e-3,\"beam_target_fused_fraction_hex\":\"3f60c7342839d57b\",\"beam_beam_fused_fraction\":1.0480236574184427e-4,\"beam_beam_fused_fraction_hex\":\"3f1b792aef01a10b\",\"fast_ion_fraction_max\":1.2063917779262585e-1,\"fast_ion_fraction_max_hex\":\"3fbee2358b3c540d\",\"charge_excess_max\":1.200000000000002e-1,\"charge_excess_max_hex\":\"3fbeb851eb851ec7\",\"charge_excess_min\":-1.8675557360200587e-2,\"charge_excess_min_hex\":\"bf931faf7062f3ec\",\"dt_rate_density_per_m3_s\":[2.033802948732099e17,1.760405019827982e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"4386946a67b1dae1\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.3031670287927353e-6,\"power_ledger_residual_hex\":\"beb5dd0f4d145c13\"},\"field_sha256\":\"0e06e5ec7b0f461f5390d6d07a5186f19963b39a88d704f9068027e67567400b\",\"seal_parts\":{\"inputs\":\"081bea5762fa54dea56ea93a74a20c47f193962b2051be075e7ab0e92f892670\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"0af97f403720fd53b3eda7cbaa553864d4ed553e45f72af60016dc3dba2beb75\",\"invariants\":\"d52f2c1c716ac4c2317cd7a6ef137ac454e7e1eac2d122e4e9af7a298b863ecc\",\"field_sha256\":\"60830acb35bf0637febc89865ab079b56cf482cabce463d6c0ac9c382669e04a\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"37676bf163ab0491cf8df01a1001a98c760a06da66e7ee08a4a64cdff4cdd893\",\"receipt_sha256\":\"22536b4485c8264dbc52ae978d5e997df7bae776ea2b4748097402c29f52c895\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [2.208715855044239e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[2.208715855044239e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"IonChargeExceedsElectrons\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (IonChargeExceedsElectrons). in shell 0 the thermal ions and the fast ions this solve finds carry 0.12000000000000033 of the electron density more charge than the electrons, above the allowance of 0.12 (QUASI_NEUTRALITY_FAST_ION_ALLOWANCE), the largest excess on a slice compared: quasi-neutrality cannot hold.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"ccb67f22802809c0c6520466b31b4729c84c1a742362d2753a6bda4c86f842f0\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"7c3a7b714043ee1678380f76aa801eb018c060cfab1df38ebfc52601c37a8ff1\"},\"solution_seal\":\"a0cfcf4f8abbf6e38dc490a837e1d58373b5efea0a18f389b9029523f0420626\",\"receipt_sha256\":\"ab0c31ef8611c6fbc4280ea1d8359246490100d2a5e2cf35015ca13fc26eca7e\"}", "outside_answer_is_error": false}
{"id": "edge-8e24e669bf15", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.deuterium_density_per_m3[1]", "input_unit": "m^-3", "whole_number_input": false, "base_value": 2.04297e+19, "edge_kind": "declared_limit", "direction": "down", "inside_value": 1.9272830601725665e+19, "inside_value_hex": "43f0b76d9520822e", "outside_value": 1.927283060172566e+19, "outside_value_hex": "43f0b76d9520822d", "width": 4096.0, "adjacent_64_bit_numbers": true, "stop_name": "BeamChangeTooRecent", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "b05b6b2e8f109a358ee15606513740471e4e9b2cec86ca591d9bfa72c5654ef8", "outside_proof": "3223e9c5b830e82e14a9a8797663be30076efd483e14df41c22fef226bafe495", "inside_receipt": "b1ba11b9e286294d8c45be91b0a9d22ace950a46e58723330e1f19a4a1c43b27", "outside_receipt": "453bf04f04111caa795f50748639188586f78d2fac5f55c4c7961592d943eb35", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:48:02Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 1.9272830601725665e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,1.9272830601725665e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.0105944668330944e17,\"thermal_dt_rate_per_s_hex\":\"4386527403125cac\",\"beam_target_dt_rate_per_s\":1.3724263802804483e17,\"beam_target_dt_rate_per_s_hex\":\"437e79573bfb2fa2\",\"beam_beam_dt_rate_per_s\":7.5511220808274e15,\"beam_beam_dt_rate_per_s_hex\":\"433ad3b49d488808\",\"dt_rate_per_s\":3.458532067921816e17,\"dt_rate_per_s_hex\":\"439332dea2fd1c5e\",\"dt_fusion_power_w\":9.74638021301482e5,\"dt_fusion_power_w_hex\":\"412dbe5c0ae80721\",\"dd_neutron_rate_per_s\":9.492991877484698e14,\"dd_neutron_rate_per_s_hex\":\"430afb0f86f873ae\",\"dd_fusion_power_w\":1.0711566151655059e3,\"dd_fusion_power_w_hex\":\"4090bca05fb9d79f\",\"neutron_rate_per_s\":3.468025059799301e17,\"neutron_rate_per_s_hex\":\"4393405c2ac09898\",\"fast_ion_count\":1.1579283764490338e19,\"fast_ion_count_hex\":\"43e4163c277dfca0\",\"fast_ion_energy_j\":1.2552953833e5,\"fast_ion_energy_j_hex\":\"40fea5989cffeb07\",\"fast_ion_energy_time_s\":1.1005999999999999e-1,\"fast_ion_energy_time_s_hex\":\"3fbc2ce4649906cc\",\"beam_power_to_electrons_w\":1.5410758382214681e5,\"beam_power_to_electrons_w_hex\":\"4102cfdcabaaf21a\",\"beam_power_to_ions_w\":8.024522810407291e5,\"beam_power_to_ions_w_hex\":\"41287d288fe49209\",\"beam_power_thermalised_w\":1.8213373911306335e5,\"beam_power_thermalised_w_hex\":\"41063bade9b41c19\",\"beam_target_fused_fraction\":2.0290455384998985e-3,\"beam_target_fused_fraction_hex\":\"3f609f37875bc3d2\",\"beam_beam_fused_fraction\":1.1119392179266029e-4,\"beam_beam_fused_fraction_hex\":\"3f1d261907cbd27e\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-2.8353118096504867e-2,\"charge_excess_min_hex\":\"bf9d08998bdb40bf\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.6851705723959334e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"4382b58af73ae18c\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.3010426069826053e-16,\"particle_ledger_residual_hex\":\"3ca2c00000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.310655494420545e-6,\"power_ledger_residual_hex\":\"beb5fd38f4c4890d\"},\"field_sha256\":\"4b4052471e35752630585433d7f8d7212e30ae77e4b9da58a3f336e95cd008e1\",\"seal_parts\":{\"inputs\":\"f02236a1e3c5b47f7956e38c57cfcc7a58c154302b5abffb30d505c1d4ada9b5\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"74be9ea37fb3c4372ce194732b1686f654097275a89a0e0cb6e0a935ac1bafaa\",\"invariants\":\"11a4e36a791c7139c5a91c3959e25af89e395b609b7824270030a87420360d07\",\"field_sha256\":\"97dfdcd3a2913fc240c686229c2c40eff805ec500aab04ccc7a7622f43f425f8\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"b05b6b2e8f109a358ee15606513740471e4e9b2cec86ca591d9bfa72c5654ef8\",\"receipt_sha256\":\"b1ba11b9e286294d8c45be91b0a9d22ace950a46e58723330e1f19a4a1c43b27\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 1.927283060172566e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,1.927283060172566e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"BeamChangeTooRecent\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"2c10f5e61950816d8b95041ff7c8e991773d45089bd7ee5a2ad1d685bc7280d3\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"23c683add5c24deba84ac07dad766a5778ea93f386dafdd350dcf1a4833e550e\"},\"solution_seal\":\"3223e9c5b830e82e14a9a8797663be30076efd483e14df41c22fef226bafe495\",\"receipt_sha256\":\"453bf04f04111caa795f50748639188586f78d2fac5f55c4c7961592d943eb35\"}", "outside_answer_is_error": false}
{"id": "edge-6f138a323704", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.deuterium_density_per_m3[1]", "input_unit": "m^-3", "whole_number_input": false, "base_value": 2.04297e+19, "edge_kind": "declared_limit", "direction": "up", "inside_value": 2.4967929000000037e+19, "inside_value_hex": "43f5a7fe723c62d2", "outside_value": 2.496792900000004e+19, "outside_value_hex": "43f5a7fe723c62d3", "width": 4096.0, "adjacent_64_bit_numbers": true, "stop_name": "ThermalChargeExceedsElectrons", "stop_sentence": "Physical Violation: in shell 1 the thermal ions alone carry 0.02500000000000102 of the electron density more charge than the electrons, above the allowance of 0.025 (QUASI_NEUTRALITY_ALLOWANCE) by more than 4 units in the last place: quasi-neutrality cannot hold (ThermalChargeExceedsElectrons).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "e10e1840f8591ac9171afed010669d2ac0ee579b0c515a822f1b43b35a95cf4a", "outside_proof": null, "inside_receipt": "4812ad66b96b49c88409670bc384c6d4d2db94ce583ee0b0240a3d3706fa9635", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:48:04Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.4967929000000037e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.4967929000000037e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.4115350511637446e17,\"thermal_dt_rate_per_s_hex\":\"438ac5feae866a2e\",\"beam_target_dt_rate_per_s\":1.3983865606058981e17,\"beam_target_dt_rate_per_s_hex\":\"437f0ce844c5c06f\",\"beam_beam_dt_rate_per_s\":6.926967082563176e15,\"beam_beam_dt_rate_per_s_hex\":\"43389c0a3453b668\",\"dt_rate_per_s\":3.879191282595275e17,\"dt_rate_per_s_hex\":\"439588a99145f40d\",\"dt_fusion_power_w\":1.0931826687356557e6,\"dt_fusion_power_w_hex\":\"4130ae3eab32428b\",\"dd_neutron_rate_per_s\":1.284012216039544e15,\"dd_neutron_rate_per_s_hex\":\"43123f359018e1e0\",\"dd_fusion_power_w\":1.4469649189117006e3,\"dd_fusion_power_w_hex\":\"40969bdc13b4042f\",\"neutron_rate_per_s\":3.8920314047556704e17,\"neutron_rate_per_s_hex\":\"43959ae8c6d60cef\",\"fast_ion_count\":1.1157820429543821e19,\"fast_ion_count_hex\":\"43e35b11520c51ca\",\"fast_ion_energy_j\":1.2068213113730954e5,\"fast_ion_energy_j_hex\":\"40fd76a219236f7c\",\"fast_ion_energy_time_s\":1.0580995939023531e-1,\"fast_ion_energy_time_s_hex\":\"3fbb165c8b2c11f1\",\"beam_power_to_electrons_w\":1.5061678959581145e5,\"beam_power_to_electrons_w_hex\":\"410262c651179bda\",\"beam_power_to_ions_w\":8.058999052547893e5,\"beam_power_to_ions_w_hex\":\"41289817cf7d8e45\",\"beam_power_thermalised_w\":1.8212217075605906e5,\"beam_power_thermalised_w_hex\":\"41063b515db55a4a\",\"beam_target_fused_fraction\":2.0678266647648083e-3,\"beam_target_fused_fraction_hex\":\"3f60f08bfcc44b22\",\"beam_beam_fused_fraction\":1.0200293781430491e-4,\"beam_beam_fused_fraction_hex\":\"3f1abd4d20c6ccc4\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":9.068332000556456e-2,\"charge_excess_max_hex\":\"3fb73705a5b77340\",\"charge_excess_min\":-1.8675557360200587e-2,\"charge_excess_min_hex\":\"bf931faf7062f3ec\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,2.0541828313115603e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"4386ce56b8a339b2\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.2944619528104897e-6,\"power_ledger_residual_hex\":\"beb5b7abf8052965\"},\"field_sha256\":\"61ccbd2315757cf7cdb69123c8763d7feb728adf898e1ff1e500ede432fd4158\",\"seal_parts\":{\"inputs\":\"d709d72d013f49ab7a33a76e7831cf73fed5ec9e2181040679fc890386884bf4\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"458e8a8ede87c0e0dc056651a3a637d1c3a46df7b1796676114e6ff7eebad0e6\",\"invariants\":\"65039be3a6ae2cfc2af5fb0c31066c3c86f0fc5b84b95c55e0081338c72836ee\",\"field_sha256\":\"1563abf9d9858c01a17c013a08ab17d8cc316917076a1f9d53b1684a2309436a\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"e10e1840f8591ac9171afed010669d2ac0ee579b0c515a822f1b43b35a95cf4a\",\"receipt_sha256\":\"4812ad66b96b49c88409670bc384c6d4d2db94ce583ee0b0240a3d3706fa9635\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.496792900000004e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: in shell 1 the thermal ions alone carry 0.02500000000000102 of the electron density more charge than the electrons, above the allowance of 0.025 (QUASI_NEUTRALITY_ALLOWANCE) by more than 4 units in the last place: quasi-neutrality cannot hold (ThermalChargeExceedsElectrons).", "outside_answer_is_error": true}
{"id": "edge-4df926030842", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.deuterium_density_per_m3[2]", "input_unit": "m^-3", "whole_number_input": false, "base_value": 1.82594e+19, "edge_kind": "declared_limit", "direction": "down", "inside_value": 1.7275440226670133e+19, "inside_value_hex": "43edf7d62b6c2558", "outside_value": 1.7275440226670131e+19, "outside_value_hex": "43edf7d62b6c2557", "width": 2048.0, "adjacent_64_bit_numbers": true, "stop_name": "BeamChangeTooRecent", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "5c17dfa9f3c390bf7796b527c89063e6f846c011e7639f7ea0f939c47291c05d", "outside_proof": "d63bdce124ee977a997403ef6ca53624d3abbd8dfed25d2350cfa50456ebdd6d", "inside_receipt": "f1589257b3d6dc18f4e4cb2924d38aa1ba05e052b1d05a8663fb8b34812d4055", "outside_receipt": "cc77188e335c072ef435d08c784d96246b091d7c6daf711b194d3596d87570b3", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:48:06Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.7275440226670133e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.7275440226670133e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.06859797622119e17,\"thermal_dt_rate_per_s_hex\":\"4386f74f1e9c9ad3\",\"beam_target_dt_rate_per_s\":1.3696028184203e17,\"beam_target_dt_rate_per_s_hex\":\"437e694a6938815b\",\"beam_beam_dt_rate_per_s\":7.526985295930576e15,\"beam_beam_dt_rate_per_s_hex\":\"433abdc0d4cb24d0\",\"dt_rate_per_s\":3.5134706476007955e17,\"dt_rate_per_s_hex\":\"439380f12cef9a53\",\"dt_fusion_power_w\":9.901200892828869e5,\"dt_fusion_power_w_hex\":\"412e37502db67c8f\",\"dd_neutron_rate_per_s\":9.94302716580988e14,\"dd_neutron_rate_per_s_hex\":\"430c428121c4a3e0\",\"dd_fusion_power_w\":1.121273854627024e3,\"dd_fusion_power_w_hex\":\"409185186d58ebb5\",\"neutron_rate_per_s\":3.5234136747666054e17,\"neutron_rate_per_s_hex\":\"43938f126d807ca5\",\"fast_ion_count\":1.1589786568880245e19,\"fast_ion_count_hex\":\"43e41ae62f549669\",\"fast_ion_energy_j\":1.2552953833e5,\"fast_ion_energy_j_hex\":\"40fea5989cffeb07\",\"fast_ion_energy_time_s\":1.1005999999999999e-1,\"fast_ion_energy_time_s_hex\":\"3fbc2ce4649906cc\",\"beam_power_to_electrons_w\":1.5484636366332992e5,\"beam_power_to_electrons_w_hex\":\"4102e6f2e8c851e6\",\"beam_power_to_ions_w\":8.017208599343775e5,\"beam_power_to_ions_w_hex\":\"41287771b8495198\",\"beam_power_thermalised_w\":1.8213284124805266e5,\"beam_power_thermalised_w_hex\":\"41063ba6bae04250\",\"beam_target_fused_fraction\":2.0249053728718597e-3,\"beam_target_fused_fraction_hex\":\"3f609688cb53cc72\",\"beam_beam_fused_fraction\":1.1083849597072076e-4,\"beam_beam_fused_fraction_hex\":\"3f1d0e3edc8002d5\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-3.2727283467704045e-2,\"charge_excess_min_hex\":\"bfa0c1a1685c8611\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,4.8957160815234936e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"4365bdc8e87351ef\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":9.80118763926896e-17,\"particle_ledger_residual_hex\":\"3c9c400000000000\",\"energy_ledger_residual\":2.023778221960093e-6,\"energy_ledger_residual_hex\":\"3ec0fa07d7f26666\",\"power_ledger_residual\":-1.3033785347092403e-6,\"power_ledger_residual_hex\":\"beb5ddf7dab3d3eb\"},\"field_sha256\":\"e8ed4c4bfe9cacb65e93bb1a8eefc7a6614c1d59ac943b5fec5967b58721a262\",\"seal_parts\":{\"inputs\":\"5fe8e8f4616fb5b189af56db93ae483fe65d0b4709deeecc235e68b5c7ff1ecc\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"a69a029f9fdb27972ca2bac92dfe228ff6968143d2e0b5bd137b82c2cd68e978\",\"invariants\":\"bce6cf4601fd450f9ff1baa2fdbee6aab22eebfad1209589bf3629c07c596707\",\"field_sha256\":\"f09e9e2fa623ee8f5570bd8985ec657c29e3962ecc343ed2ca6e41600e4f433d\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"5c17dfa9f3c390bf7796b527c89063e6f846c011e7639f7ea0f939c47291c05d\",\"receipt_sha256\":\"f1589257b3d6dc18f4e4cb2924d38aa1ba05e052b1d05a8663fb8b34812d4055\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.7275440226670131e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.7275440226670131e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"BeamChangeTooRecent\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"b00f857e68bfc0795b24d5918be3e59b0e1027cf4116cee4a139b9ba7d1eee5c\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"23c683add5c24deba84ac07dad766a5778ea93f386dafdd350dcf1a4833e550e\"},\"solution_seal\":\"d63bdce124ee977a997403ef6ca53624d3abbd8dfed25d2350cfa50456ebdd6d\",\"receipt_sha256\":\"cc77188e335c072ef435d08c784d96246b091d7c6daf711b194d3596d87570b3\"}", "outside_answer_is_error": false}
{"id": "edge-a1021124859d", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.deuterium_density_per_m3[2]", "input_unit": "m^-3", "whole_number_input": false, "base_value": 1.82594e+19, "edge_kind": "declared_limit", "direction": "up", "inside_value": 2.2777770000000045e+19, "inside_value_hex": "43f3c1ae522198d5", "outside_value": 2.277777000000005e+19, "outside_value_hex": "43f3c1ae522198d6", "width": 4096.0, "adjacent_64_bit_numbers": true, "stop_name": "ThermalChargeExceedsElectrons", "stop_sentence": "Physical Violation: in shell 2 the thermal ions alone carry 0.02500000000000102 of the electron density more charge than the electrons, above the allowance of 0.025 (QUASI_NEUTRALITY_ALLOWANCE) by more than 4 units in the last place: quasi-neutrality cannot hold (ThermalChargeExceedsElectrons).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "f216881485421a6f0ea4a48a37ec363dc8700ab82e7ea1daed77f72b57fbc8fc", "outside_proof": null, "inside_receipt": "6cfe02afc9dea29d5dcc2932b5b86f846877653ecbd24f8eb75783b9dfb9ae93", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:48:08Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 2.2777770000000045e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,2.2777770000000045e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.1996820570762368e17,\"thermal_dt_rate_per_s_hex\":\"43886bdf5758a9e8\",\"beam_target_dt_rate_per_s\":1.4141820697127365e17,\"beam_target_dt_rate_per_s_hex\":\"437f66b1c274ba1b\",\"beam_beam_dt_rate_per_s\":6.926747603683514e15,\"beam_beam_dt_rate_per_s_hex\":\"43389bd71a5dc8ba\",\"dt_rate_per_s\":3.6831316028258086e17,\"dt_rate_per_s_hex\":\"4394720b78b2fa9e\",\"dt_fusion_power_w\":1.0379317083296889e6,\"dt_fusion_power_w_hex\":\"412facd76aaa3061\",\"dd_neutron_rate_per_s\":1.0959978439656755e15,\"dd_neutron_rate_per_s_hex\":\"430f266f1150375c\",\"dd_fusion_power_w\":1.2379917629762904e3,\"dd_fusion_power_w_hex\":\"409357f790b6b234\",\"neutron_rate_per_s\":3.6940915812654656e17,\"neutron_rate_per_s_hex\":\"4394819eb03ba2ba\",\"fast_ion_count\":1.1052439784178424e19,\"fast_ion_count_hex\":\"43e32c44ed9cab33\",\"fast_ion_energy_j\":1.1995324265609075e5,\"fast_ion_energy_j_hex\":\"40fd4913e1eb5a5f\",\"fast_ion_energy_time_s\":1.0517089493329412e-1,\"fast_ion_energy_time_s_hex\":\"3fbaec7ad23ac3d0\",\"beam_power_to_electrons_w\":1.4702542869669024e5,\"beam_power_to_electrons_w_hex\":\"4101f28b6df887c4\",\"beam_power_to_ions_w\":8.094536865197713e5,\"beam_power_to_ions_w_hex\":\"4128b3db5f7f84fc\",\"beam_power_thermalised_w\":1.8212415135555482e5,\"beam_power_thermalised_w_hex\":\"41063b6135f9e6b0\",\"beam_target_fused_fraction\":2.0910953802009526e-3,\"beam_target_fused_fraction_hex\":\"3f61215848aa3a5a\",\"beam_beam_fused_fraction\":1.019997058817366e-4,\"beam_beam_fused_fraction_hex\":\"3f1abd159a9638e8\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":7.088045545477689e-2,\"charge_excess_max_hex\":\"3fb22538b61a9604\",\"charge_excess_min\":-1.8675557360200587e-2,\"charge_excess_min_hex\":\"bf931faf7062f3ec\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,5.688587268603832e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"4369432ccb460fa6\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":9.80118763926896e-17,\"particle_ledger_residual_hex\":\"3c9c400000000000\",\"energy_ledger_residual\":1.8426900776802313e-6,\"energy_ledger_residual_hex\":\"3ebeea4b2ab33333\",\"power_ledger_residual\":-1.3234067218950659e-6,\"power_ledger_residual_hex\":\"beb633fd14396131\"},\"field_sha256\":\"bcda06c56d2ad6b1391d8f3555c4a14f1426fc189010665c724b038ce5029cee\",\"seal_parts\":{\"inputs\":\"d4f2ae7ff47a05dd8a70440c4939605217cb5510480f4a722f88880374ab0009\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"28ff9bd9f30a2a25516ef5cd991e29d0d1d79427107a800145891942eeec393b\",\"invariants\":\"5adcfa70d13a838a5e99c0ae9ea63d8e3072e3f7e13f5ea80ac84be906502b93\",\"field_sha256\":\"d8b72c0ab70b682dbed258c97eb0c71a16209ec33ed340b03244261164651904\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"f216881485421a6f0ea4a48a37ec363dc8700ab82e7ea1daed77f72b57fbc8fc\",\"receipt_sha256\":\"6cfe02afc9dea29d5dcc2932b5b86f846877653ecbd24f8eb75783b9dfb9ae93\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 2.277777000000005e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: in shell 2 the thermal ions alone carry 0.02500000000000102 of the electron density more charge than the electrons, above the allowance of 0.025 (QUASI_NEUTRALITY_ALLOWANCE) by more than 4 units in the last place: quasi-neutrality cannot hold (ThermalChargeExceedsElectrons).", "outside_answer_is_error": true}
{"id": "edge-8b9f7bd8673b", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.deuterium_density_per_m3[3]", "input_unit": "m^-3", "whole_number_input": false, "base_value": 1.18337e+19, "edge_kind": "declared_limit", "direction": "down", "inside_value": 7.938045096266998e+18, "inside_value_hex": "43db8a667d4781a8", "outside_value": 7.938045096266997e+18, "outside_value_hex": "43db8a667d4781a7", "width": 1024.0, "adjacent_64_bit_numbers": true, "stop_name": "BeamChangeTooRecent", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "d10622f1f39d10999dd9a86def92fe90b93169ae3262848eefd09226cf4e969b", "outside_proof": "c804c978c98db203e8e32ed41ef367df63c59af8d8f9489d86687e7f995a6b76", "inside_receipt": "aaa51d6f91e84840d43f341e8f31e3b9d87eb1311b9742c6c8778fb886fe9275", "outside_receipt": "3e9b33213eb89c170adcf0ff84f32f7881aacf593d24fef9f13dea544c722f98", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:48:10Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 7.938045096266998e+18], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,7.938045096266998e+18],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.078202928742759e17,\"thermal_dt_rate_per_s_hex\":\"4387129ba46f1c62\",\"beam_target_dt_rate_per_s\":1.3672406726637194e17,\"beam_target_dt_rate_per_s_hex\":\"437e5bdd095a8a16\",\"beam_beam_dt_rate_per_s\":7.431964388589669e15,\"beam_beam_dt_rate_per_s_hex\":\"433a67550d5d8065\",\"dt_rate_per_s\":3.519763245292375e17,\"dt_rate_per_s_hex\":\"439389e268c3a6b8\",\"dt_fusion_power_w\":9.918933864050537e5,\"dt_fusion_power_w_hex\":\"412e452ac5d6e219\",\"dd_neutron_rate_per_s\":1.0012117372745202e15,\"dd_neutron_rate_per_s_hex\":\"430c74c62f8fc4c2\",\"dd_fusion_power_w\":1.1291023948185975e3,\"dd_fusion_power_w_hex\":\"4091a468da2ff4a0\",\"neutron_rate_per_s\":3.52977536266512e17,\"neutron_rate_per_s_hex\":\"4393981ccbdb6e9a\",\"fast_ion_count\":1.1604342767378776e19,\"fast_ion_count_hex\":\"43e4215d0876af88\",\"fast_ion_energy_j\":1.2552953833e5,\"fast_ion_energy_j_hex\":\"40fea5989cffeb07\",\"fast_ion_energy_time_s\":1.1005999999999999e-1,\"fast_ion_energy_time_s_hex\":\"3fbc2ce4649906cc\",\"beam_power_to_electrons_w\":1.5619728238186086e5,\"beam_power_to_electrons_w_hex\":\"4103112a42516bcb\",\"beam_power_to_ions_w\":8.003742119866542e5,\"beam_power_to_ions_w_hex\":\"41286cec6c8983c6\",\"beam_power_thermalised_w\":1.821323233279672e5,\"beam_power_thermalised_w_hex\":\"41063ba2962cf928\",\"beam_target_fused_fraction\":2.021431737215799e-3,\"beam_target_fused_fraction_hex\":\"3f608f3fe67a5fef\",\"beam_beam_fused_fraction\":1.0943926719035721e-4,\"beam_beam_fused_fraction_hex\":\"3f1cb0584b3e8c58\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-1.114185271582467e-1,\"charge_excess_min_hex\":\"bfbc85ecb2502b15\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,5.039772763669543e16,4.1596531524669175e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"432d8e5d71154fcb\"]},\"invariants\":{\"particle_ledger_residual\":1.734723475976807e-16,\"particle_ledger_residual_hex\":\"3ca9000000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.2989568423650444e-6,\"power_ledger_residual_hex\":\"beb5cafa26f3eddb\"},\"field_sha256\":\"fdb669812c80577f4d033e2f5221ce3a1dcc5d97feae7a7e78ef9dd247646039\",\"seal_parts\":{\"inputs\":\"5a0e87b87c45896edd8140d20c96cf605c7ba94fa32eb3563488e8b9467e6c53\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"4c7c992bb782ab6129affacaaff1992b6f607313e119eeecbd22034040c53a63\",\"invariants\":\"999238d6ccd941df790834abc385b82bdf95297a86fbdc9e3cb0862eacb19655\",\"field_sha256\":\"2fbefec3750bdd6fbe717bf9417adf97998e9aa4caa3ecc83fce8436151ab987\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"d10622f1f39d10999dd9a86def92fe90b93169ae3262848eefd09226cf4e969b\",\"receipt_sha256\":\"aaa51d6f91e84840d43f341e8f31e3b9d87eb1311b9742c6c8778fb886fe9275\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 7.938045096266997e+18], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,7.938045096266997e+18],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"BeamChangeTooRecent\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"c22b32d2b397ed005c846a32460661daf5c70ec1e42267ee36cf012945922677\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"23c683add5c24deba84ac07dad766a5778ea93f386dafdd350dcf1a4833e550e\"},\"solution_seal\":\"c804c978c98db203e8e32ed41ef367df63c59af8d8f9489d86687e7f995a6b76\",\"receipt_sha256\":\"3e9b33213eb89c170adcf0ff84f32f7881aacf593d24fef9f13dea544c722f98\"}", "outside_answer_is_error": false}
{"id": "edge-ecd61a8825c7", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.deuterium_density_per_m3[3]", "input_unit": "m^-3", "whole_number_input": false, "base_value": 1.18337e+19, "edge_kind": "declared_limit", "direction": "up", "inside_value": 1.414139500000004e+19, "inside_value_hex": "43e8880a7a806f9a", "outside_value": 1.4141395000000043e+19, "outside_value_hex": "43e8880a7a806f9b", "width": 2048.0, "adjacent_64_bit_numbers": true, "stop_name": "ThermalChargeExceedsElectrons", "stop_sentence": "Physical Violation: in shell 3 the thermal ions alone carry 0.02500000000000102 of the electron density more charge than the electrons, above the allowance of 0.025 (QUASI_NEUTRALITY_ALLOWANCE) by more than 4 units in the last place: quasi-neutrality cannot hold (ThermalChargeExceedsElectrons).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "79e4936f0206427230bacd1935e85ac43d401aeeffe91b601f7234b303282f1f", "outside_proof": null, "inside_receipt": "6021711a1619d4d8ce930e01d16ce7ef2276e435a202c8667089d3f9c8e02352", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:48:12Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.414139500000004e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.414139500000004e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.1002355184389702e17,\"thermal_dt_rate_per_s_hex\":\"4387513a7610f876\",\"beam_target_dt_rate_per_s\":1.3840680150312469e17,\"beam_target_dt_rate_per_s_hex\":\"437ebb840ae177cd\",\"beam_beam_dt_rate_per_s\":7.392409353796069e15,\"beam_beam_dt_rate_per_s_hex\":\"433a435b6d9139e5\",\"dt_rate_per_s\":3.558227627008178e17,\"dt_rate_per_s_hex\":\"4393c08bab771f16\",\"dt_fusion_power_w\":1.0027329125825864e6,\"dt_fusion_power_w_hex\":\"412e99d9d33e0657\",\"dd_neutron_rate_per_s\":1.0179420504827434e15,\"dd_neutron_rate_per_s_hex\":\"430cee80d29151bb\",\"dd_fusion_power_w\":1.148474151244859e3,\"dd_fusion_power_w_hex\":\"4091f1e587e7681c\",\"neutron_rate_per_s\":3.5684070475130054e17,\"neutron_rate_per_s_hex\":\"4393cf02ebe067bf\",\"fast_ion_count\":1.142349678048025e19,\"fast_ion_count_hex\":\"43e3d10d3985ab00\",\"fast_ion_energy_j\":1.2387886730048285e5,\"fast_ion_energy_j_hex\":\"40fe3e6de076789a\",\"fast_ion_energy_time_s\":1.0861274817444908e-1,\"fast_ion_energy_time_s_hex\":\"3fbbce0b89568366\",\"beam_power_to_electrons_w\":1.518222267824155e5,\"beam_power_to_electrons_w_hex\":\"41028871d0734c8f\",\"beam_power_to_ions_w\":8.047165960833718e5,\"beam_power_to_ions_w_hex\":\"41288ed93131d6f7\",\"beam_power_thermalised_w\":1.821305448074854e5,\"beam_power_thermalised_w_hex\":\"41063b945bc406e3\",\"beam_target_fused_fraction\":2.0463653217975904e-3,\"beam_target_fused_fraction_hex\":\"3f60c38a043fcf11\",\"beam_beam_fused_fraction\":1.088568001876699e-4,\"beam_beam_fused_fraction_hex\":\"3f1c894196467bd2\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":3.633933980113998e-2,\"charge_excess_max_hex\":\"3fa29b11e8021cfb\",\"charge_excess_min\":-1.4277474285557187e-2,\"charge_excess_min_hex\":\"bf8d3d822901f198\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,5.039772763669543e16,5.540586584259323e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"4333af225733bafb\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.3116774539735192e-6,\"power_ledger_residual_hex\":\"beb6019c9ccf2073\"},\"field_sha256\":\"4c2b293d6ade4ab7e0305141b57020df1e134f4b7c2c88f7b169da5373dde6e8\",\"seal_parts\":{\"inputs\":\"6768e7f0a75554f13649c8d863bcf802b482c10e0fa0d00304f22f53768b858e\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"7b06ecbb2043d3625f19c06d65fd8fec5aa3c6a8115ad4b6c7e728e56f8ec25f\",\"invariants\":\"a218cf1ee2f20797e20415d2fc2e3360e46188622aeb16dddd5eaae13b82082b\",\"field_sha256\":\"3fcdeb66a3250b81e80068c61aba3446db7755f3e66f47ec1d82d397ba562f6a\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"79e4936f0206427230bacd1935e85ac43d401aeeffe91b601f7234b303282f1f\",\"receipt_sha256\":\"6021711a1619d4d8ce930e01d16ce7ef2276e435a202c8667089d3f9c8e02352\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.4141395000000043e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: in shell 3 the thermal ions alone carry 0.02500000000000102 of the electron density more charge than the electrons, above the allowance of 0.025 (QUASI_NEUTRALITY_ALLOWANCE) by more than 4 units in the last place: quasi-neutrality cannot hold (ThermalChargeExceedsElectrons).", "outside_answer_is_error": true}
{"id": "edge-fb6f3606a7fd", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.tritium_density_per_m3[0]", "input_unit": "m^-3", "whole_number_input": false, "base_value": 1.37276e+19, "edge_kind": "declared_limit", "direction": "down", "inside_value": 9.489179531427725e+18, "inside_value_hex": "43e0760ad0419508", "outside_value": 9.489179531427723e+18, "outside_value_hex": "43e0760ad0419507", "width": 2048.0, "adjacent_64_bit_numbers": true, "stop_name": "BeamChangeTooRecent", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "17a214ef654cfd59ea939a17b33a840dd09a74742a182cd5788016294aaac818", "outside_proof": "2c36653462897563185cf97f4afc4201cabb847291d3e6940ce734a181e935c1", "inside_receipt": "75a34d74bb90f5150ebfad97cf63235be7e7d45785bdbf1fa7b8badba53d708b", "outside_receipt": "1f5d3ed363f12a8e91a889ff234560ed8753bf46d74065b3ab0cea1401d19866", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:48:14Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [9.489179531427725e+18, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[9.489179531427725e+18,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.0374712339648733e17,\"thermal_dt_rate_per_s_hex\":\"43869ed76f107145\",\"beam_target_dt_rate_per_s\":1.3739096260048563e17,\"beam_target_dt_rate_per_s_hex\":\"437e81c5a4126a30\",\"beam_beam_dt_rate_per_s\":7.676021871981222e15,\"beam_beam_dt_rate_per_s_hex\":\"433b454d1cf7b2a6\",\"dt_rate_per_s\":3.488141078689542e17,\"dt_rate_per_s_hex\":\"43935cf25500b1f9\",\"dt_fusion_power_w\":9.829820433029003e5,\"dt_fusion_power_w_hex\":\"412dff8c162bcc39\",\"dd_neutron_rate_per_s\":1.01433903223201e15,\"dd_neutron_rate_per_s_hex\":\"430cd449ad958250\",\"dd_fusion_power_w\":1.1441766751680377e3,\"dd_fusion_power_w_hex\":\"4091e0b4ea55d2f3\",\"neutron_rate_per_s\":3.498284469011862e17,\"neutron_rate_per_s_hex\":\"43936b5c79d77cba\",\"fast_ion_count\":1.158355489273919e19,\"fast_ion_count_hex\":\"43e41821b9af3ea4\",\"fast_ion_energy_j\":1.2552953833e5,\"fast_ion_energy_j_hex\":\"40fea5989cffeb07\",\"fast_ion_energy_time_s\":1.1005999999999999e-1,\"fast_ion_energy_time_s_hex\":\"3fbc2ce4649906cc\",\"beam_power_to_electrons_w\":1.5395939310753383e5,\"beam_power_to_electrons_w_hex\":\"4102cb3b2515900d\",\"beam_power_to_ions_w\":8.025885773303556e5,\"beam_power_to_ions_w_hex\":\"41287e392797d829\",\"beam_power_thermalised_w\":1.821331228002956e5,\"beam_power_thermalised_w_hex\":\"41063ba8fb7eb8ac\",\"beam_target_fused_fraction\":2.031444626613981e-3,\"beam_target_fused_fraction_hex\":\"3f60a43f8784a50b\",\"beam_beam_fused_fraction\":1.130331315764274e-4,\"beam_beam_fused_fraction_hex\":\"3f1da18669f80799\",\"fast_ion_fraction_max\":1.490648281397041e-1,\"fast_ion_fraction_max_hex\":\"3fc3148e68ec0493\",\"charge_excess_max\":-4.338027550085284e-3,\"charge_excess_max_hex\":\"bf71c4c0674ee708\",\"charge_excess_min\":-8.261051133571076e-2,\"charge_excess_min_hex\":\"bfb525f6647e2292\",\"dt_rate_density_per_m3_s\":[1.4172952337099296e17,1.760405019827982e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"437f7864026b6a54\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.299051887574361e-6,\"power_ledger_residual_hex\":\"beb5cb62a7cd098d\"},\"field_sha256\":\"f95452d9f91b63a42bd8b99deb47f70f530d22421c8512625d1cc09bbda11e70\",\"seal_parts\":{\"inputs\":\"d6af53fb28c84bd4711059608d10c4d2b83d72fabb8746fbf145df3ab64cd6e1\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"f948b62ab87320910ae366b3af6c8ed1b96e7b610ceb9eec52e25f2b01494e10\",\"invariants\":\"77617567357927c17d6fafcb5264eb82469798d659c72766ecf24e76a5f5d61f\",\"field_sha256\":\"a242230f5380446455f8f4b6acdf51a28af93ad9bbf6be9e47a1ce5d1173d159\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"17a214ef654cfd59ea939a17b33a840dd09a74742a182cd5788016294aaac818\",\"receipt_sha256\":\"75a34d74bb90f5150ebfad97cf63235be7e7d45785bdbf1fa7b8badba53d708b\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [9.489179531427723e+18, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[9.489179531427723e+18,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"BeamChangeTooRecent\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"b5b00761dd5f06a65d3db16b9053c85a15ede27c5e13c4d5d434b51243da00b2\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"23c683add5c24deba84ac07dad766a5778ea93f386dafdd350dcf1a4833e550e\"},\"solution_seal\":\"2c36653462897563185cf97f4afc4201cabb847291d3e6940ce734a181e935c1\",\"receipt_sha256\":\"1f5d3ed363f12a8e91a889ff234560ed8753bf46d74065b3ab0cea1401d19866\"}", "outside_answer_is_error": false}
{"id": "edge-904588254eec", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.tritium_density_per_m3[0]", "input_unit": "m^-3", "whole_number_input": false, "base_value": 1.37276e+19, "edge_kind": "declared_limit", "direction": "up", "inside_value": 1.8788784194012013e+19, "inside_value_hex": "43f04bf2bad5d8f6", "outside_value": 1.8788784194012017e+19, "outside_value_hex": "43f04bf2bad5d8f7", "width": 4096.0, "adjacent_64_bit_numbers": true, "stop_name": "IonChargeExceedsElectrons", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (IonChargeExceedsElectrons). in shell 0 the thermal ions and the fast ions this solve finds carry 0.12000000000000033 of the electron density more charge than the electrons, above the allowance of 0.12 (QUASI_NEUTRALITY_FAST_ION_ALLOWANCE), the largest excess on a slice compared: quasi-neutrality cannot hold.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "16c5804201aff8da2922b42d813cd2a6ce18e3b71cc32dea36205293cf830eaf", "outside_proof": "95ddf66c9674a9e9112b507c30e12e349e8f7a633221824f232dd44e6edc2d35", "inside_receipt": "998732c81594a8e29a1bcefe45c0400fe72c8a3d2bfc4c12dd17cac6fbebf109", "outside_receipt": "2057b2300539816c9709813522a83688db7067db3dcba5c5e2c71547da977e1f", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:48:15Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.8788784194012013e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.8788784194012013e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.157199966919555e17,\"thermal_dt_rate_per_s_hex\":\"4387f3218d6e2df9\",\"beam_target_dt_rate_per_s\":1.3823560767251051e17,\"beam_target_dt_rate_per_s_hex\":\"437eb1c8d82a1583\",\"beam_beam_dt_rate_per_s\":7.162952876336532e15,\"beam_beam_dt_rate_per_s_hex\":\"433972aaedbca594\",\"dt_rate_per_s\":3.611185572408025e17,\"dt_rate_per_s_hex\":\"43940bcda8788ef3\",\"dt_fusion_power_w\":1.0176568242604426e6,\"dt_fusion_power_w_hex\":\"412f0e71a60576f9\",\"dd_neutron_rate_per_s\":1.0079553059154718e15,\"dd_neutron_rate_per_s_hex\":\"430ca5d70fab227e\",\"dd_fusion_power_w\":1.137018808155317e3,\"dd_fusion_power_w_hex\":\"4091c4134271eff0\",\"neutron_rate_per_s\":3.6212651254671795e17,\"neutron_rate_per_s_hex\":\"43941a2094006484\",\"fast_ion_count\":1.138837569555845e19,\"fast_ion_count_hex\":\"43e3c1746b6bce83\",\"fast_ion_energy_j\":1.2337221878279187e5,\"fast_ion_energy_j_hex\":\"40fe1ec380226280\",\"fast_ion_energy_time_s\":1.0816853610612712e-1,\"fast_ion_energy_time_s_hex\":\"3fbbb0eee50831e2\",\"beam_power_to_electrons_w\":1.5269975622058992e5,\"beam_power_to_electrons_w_hex\":\"4102a3de0cbd6172\",\"beam_power_to_ions_w\":8.038528018090513e5,\"beam_power_to_ions_w_hex\":\"412888199a86b74a\",\"beam_power_thermalised_w\":1.821292712139718e5,\"beam_power_thermalised_w_hex\":\"41063b8a2b723b19\",\"beam_target_fused_fraction\":2.0437015029745762e-3,\"beam_target_fused_fraction_hex\":\"3f60bdf3e3c729a6\",\"beam_beam_fused_fraction\":1.0547794267002539e-4,\"beam_beam_fused_fraction_hex\":\"3f1ba68141c2221b\",\"fast_ion_fraction_max\":1.23174280153913e-1,\"fast_ion_fraction_max_hex\":\"3fbf885980f82a7b\",\"charge_excess_max\":1.200000000000002e-1,\"charge_excess_max_hex\":\"3fbeb851eb851ec7\",\"charge_excess_min\":-1.8675557360200587e-2,\"charge_excess_min_hex\":\"bf931faf7062f3ec\",\"dt_rate_density_per_m3_s\":[2.0815675717426867e17,1.760405019827982e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"43871c2bbe07c198\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.7954387976359953e-16,\"particle_ledger_residual_hex\":\"3ca9e00000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.315568749438935e-6,\"power_ledger_residual_hex\":\"beb61253231c0e29\"},\"field_sha256\":\"1dc75bab9744d0582248f20875db813e7cebbc98c46e9880eaaf7074d5006456\",\"seal_parts\":{\"inputs\":\"d55ec7e6a217fe3c8cdd1bc875a646271ba9e73f6fc444296790995d7eac9b3f\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"c8321e0814a72dcb1a44d04c7c0b2a1a7531ae94760014230cb9a2f0d98e255e\",\"invariants\":\"b3b36c7bd39caaa6c73f612f3dbd38be9519371a45caa607e1edba66547ff2c9\",\"field_sha256\":\"a44de470560b58a8143584fca0a0110bc480f3e10057d29434f5ef47644f88b0\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"16c5804201aff8da2922b42d813cd2a6ce18e3b71cc32dea36205293cf830eaf\",\"receipt_sha256\":\"998732c81594a8e29a1bcefe45c0400fe72c8a3d2bfc4c12dd17cac6fbebf109\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.8788784194012017e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.8788784194012017e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"IonChargeExceedsElectrons\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (IonChargeExceedsElectrons). in shell 0 the thermal ions and the fast ions this solve finds carry 0.12000000000000033 of the electron density more charge than the electrons, above the allowance of 0.12 (QUASI_NEUTRALITY_FAST_ION_ALLOWANCE), the largest excess on a slice compared: quasi-neutrality cannot hold.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"4ce1b85d03dafb4845f1ec48d5330b0168180628ee5a70bd30b290c36017685b\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"7c3a7b714043ee1678380f76aa801eb018c060cfab1df38ebfc52601c37a8ff1\"},\"solution_seal\":\"95ddf66c9674a9e9112b507c30e12e349e8f7a633221824f232dd44e6edc2d35\",\"receipt_sha256\":\"2057b2300539816c9709813522a83688db7067db3dcba5c5e2c71547da977e1f\"}", "outside_answer_is_error": false}
{"id": "edge-08e29f8f8c54", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.tritium_density_per_m3[1]", "input_unit": "m^-3", "whole_number_input": false, "base_value": 1.62253e+19, "edge_kind": "declared_limit", "direction": "down", "inside_value": 1.474018071745498e+19, "inside_value_hex": "43e991f488809eee", "outside_value": 1.4740180717454977e+19, "outside_value_hex": "43e991f488809eed", "width": 2048.0, "adjacent_64_bit_numbers": true, "stop_name": "BeamChangeTooRecent", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "64e8e9fc32141d5900e41262d2c605bac9fdacc9b9d00959ee0383b80870a0da", "outside_proof": "f729c2d36ca161e5579edd890cfced32c3612decfcd6853025d8cc217cdea21b", "inside_receipt": "82ad4bcd6c044ffef4324ab9bbd603a10f0b1c542e8e4d2b117fe337cde211c0", "outside_receipt": "88ceb1d517c72881d4eccb922cb87c5c039a60ee8f7cc43ea0d7449355791faa", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:48:17Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.474018071745498e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.474018071745498e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":1.960392703338135e17,\"thermal_dt_rate_per_s_hex\":\"4385c3c56bf23098\",\"beam_target_dt_rate_per_s\":1.373680300549642e17,\"beam_target_dt_rate_per_s_hex\":\"437e8077edaebdbe\",\"beam_beam_dt_rate_per_s\":7.559881917600968e15,\"beam_beam_dt_rate_per_s_hex\":\"433adbac2c3e14c8\",\"dt_rate_per_s\":3.409671823063787e17,\"dt_rate_per_s_hex\":\"4392ed6f6215c00f\",\"dt_fusion_power_w\":9.608688696979954e5,\"dt_fusion_power_w_hex\":\"412d52c9bd490e3f\",\"dd_neutron_rate_per_s\":1.0148759889713638e15,\"dd_neutron_rate_per_s_hex\":\"430cd831d6827b1e\",\"dd_fusion_power_w\":1.1447834409819036e3,\"dd_fusion_power_w_hex\":\"4091e3223e5a4e7d\",\"neutron_rate_per_s\":3.419820582953501e17,\"neutron_rate_per_s_hex\":\"4392fbdb7b01014d\",\"fast_ion_count\":1.1585410239735146e19,\"fast_ion_count_hex\":\"43e418f4a76392c5\",\"fast_ion_energy_j\":1.2552953833e5,\"fast_ion_energy_j_hex\":\"40fea5989cffeb07\",\"fast_ion_energy_time_s\":1.1005999999999999e-1,\"fast_ion_energy_time_s_hex\":\"3fbc2ce4649906cc\",\"beam_power_to_electrons_w\":1.540982144108428e5,\"beam_power_to_electrons_w_hex\":\"4102cf91b71d082e\",\"beam_power_to_ions_w\":8.024491307899427e5,\"beam_power_to_ions_w_hex\":\"41287d2242f6e63d\",\"beam_power_thermalised_w\":1.821331196300444e5,\"beam_power_thermalised_w_hex\":\"41063ba8f50098c3\",\"beam_target_fused_fraction\":2.03112225943508e-3,\"beam_target_fused_fraction_hex\":\"3f60a39275b5df7e\",\"beam_beam_fused_fraction\":1.1132291462242657e-4,\"beam_beam_fused_fraction_hex\":\"3f1d2ec11c42d6e7\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-3.557024726823121e-2,\"charge_excess_min_hex\":\"bfa236437174934f\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.642309204577738e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43823bb937582b17\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.2958020522995064e-6,\"power_ledger_residual_hex\":\"beb5bd6d6c7e1c98\"},\"field_sha256\":\"606773d957148f66a721f6715ec2fc8d57b123bd3a5edd436423a20b336bde56\",\"seal_parts\":{\"inputs\":\"97419022e2de27fa98b75cbf4dc5d0be4bc1796145411ec2a7bd3a3a72a922eb\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"6d112414f195dcb1ba492b214a2f38e2dad2fb6db6204d7eb2842f925b9a2e3d\",\"invariants\":\"8caf2e6bfafc25d1de50bec75bfebaec81bafba93e2a4f98bbfb020a39ab459b\",\"field_sha256\":\"6d1803a66ef8d538912fb487b52f9f7281fa0becf4203724b1ed5eec09cd50ad\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"64e8e9fc32141d5900e41262d2c605bac9fdacc9b9d00959ee0383b80870a0da\",\"receipt_sha256\":\"82ad4bcd6c044ffef4324ab9bbd603a10f0b1c542e8e4d2b117fe337cde211c0\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.4740180717454977e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.4740180717454977e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"BeamChangeTooRecent\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"e8947c101b3badeee91792db67983c231c80a420f0eda053d77914f9b3439584\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"23c683add5c24deba84ac07dad766a5778ea93f386dafdd350dcf1a4833e550e\"},\"solution_seal\":\"f729c2d36ca161e5579edd890cfced32c3612decfcd6853025d8cc217cdea21b\",\"receipt_sha256\":\"88ceb1d517c72881d4eccb922cb87c5c039a60ee8f7cc43ea0d7449355791faa\"}", "outside_answer_is_error": false}
{"id": "edge-9892aa709cdc", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.tritium_density_per_m3[1]", "input_unit": "m^-3", "whole_number_input": false, "base_value": 1.62253e+19, "edge_kind": "declared_limit", "direction": "up", "inside_value": 2.0763529000000037e+19, "inside_value_hex": "43f2026df9d98862", "outside_value": 2.076352900000004e+19, "outside_value_hex": "43f2026df9d98863", "width": 4096.0, "adjacent_64_bit_numbers": true, "stop_name": "ThermalChargeExceedsElectrons", "stop_sentence": "Physical Violation: in shell 1 the thermal ions alone carry 0.02500000000000102 of the electron density more charge than the electrons, above the allowance of 0.025 (QUASI_NEUTRALITY_ALLOWANCE) by more than 4 units in the last place: quasi-neutrality cannot hold (ThermalChargeExceedsElectrons).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "68feb4f8fd41ae544cdb2e328ab5f197188cb6ea33ae3a7093a9ad9ec9f7e451", "outside_proof": null, "inside_receipt": "631be71101e5056a8120346c6cc71e3029abcc6e57795143bdc75ae754380404", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:48:19Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 2.0763529000000037e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,2.0763529000000037e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.494324784834682e17,\"thermal_dt_rate_per_s_hex\":\"438bb14c241b9e7d\",\"beam_target_dt_rate_per_s\":1.3905204698885878e17,\"beam_target_dt_rate_per_s_hex\":\"437ee03199a0fd5a\",\"beam_beam_dt_rate_per_s\":7.001918778226976e15,\"beam_beam_dt_rate_per_s_hex\":\"4338e0354185b920\",\"dt_rate_per_s\":3.95486444250554e17,\"dt_rate_per_s_hex\":\"4395f4334d7c257a\",\"dt_fusion_power_w\":1.1145078834198408e6,\"dt_fusion_power_w_hex\":\"4131018be227cd7d\",\"dd_neutron_rate_per_s\":1.0007984822571752e15,\"dd_neutron_rate_per_s_hex\":\"430c71c47036a8ba\",\"dd_fusion_power_w\":1.1289812419225666e3,\"dd_fusion_power_w_hex\":\"4091a3eccaaebb8d\",\"neutron_rate_per_s\":3.9648724273281114e17,\"neutron_rate_per_s_hex\":\"4396026c2fb440ce\",\"fast_ion_count\":1.120985887375959e19,\"fast_ion_count_hex\":\"43e3722d681b166d\",\"fast_ion_energy_j\":1.2145618537902697e5,\"fast_ion_energy_j_hex\":\"40fda702f74fffa3\",\"fast_ion_energy_time_s\":1.064886236391188e-1,\"fast_ion_energy_time_s_hex\":\"3fbb42d6a3ed12c7\",\"beam_power_to_electrons_w\":1.5119738400424545e5,\"beam_power_to_electrons_w_hex\":\"410274eb1270d15e\",\"beam_power_to_ions_w\":8.053609736487238e5,\"beam_power_to_ions_w_hex\":\"412893e1f28215e5\",\"beam_power_thermalised_w\":1.821258415692785e5,\"beam_power_thermalised_w_hex\":\"41063b6ebb88ac84\",\"beam_target_fused_fraction\":2.055520831628384e-3,\"beam_target_fused_fraction_hex\":\"3f60d6bd57f05bc4\",\"beam_beam_fused_fraction\":1.0310663775408321e-4,\"beam_beam_fused_fraction_hex\":\"3f1b075e8c722db0\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":9.170370473547587e-2,\"charge_excess_max_hex\":\"3fb779e4dcc2caf2\",\"charge_excess_min\":-1.8675557360200587e-2,\"charge_excess_min_hex\":\"bf931faf7062f3ec\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,2.1205651253484253e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43878b02326f9465\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.8626593323300966e-16,\"particle_ledger_residual_hex\":\"3caad80000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.339238669172468e-6,\"power_ledger_residual_hex\":\"beb677fc7d371fe4\"},\"field_sha256\":\"977b3e6beef97f8653c4c45633137a6dfe3d953ab6666a2a519b501864a89a66\",\"seal_parts\":{\"inputs\":\"c685e30a8ede879ed4e3ca80cea558cff0a1be2495c446ec50efbe291ac9e3c4\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"5d645e3cbaf87ceb896a8b33233e93fed2bbbb6158d2f817c7d3b4e6254ee740\",\"invariants\":\"e0cb3137fe31d286157dff6ae655715d9ef5854dd0b8f78e322e7b93144e56b3\",\"field_sha256\":\"c360a503eefe7799997519865f9f82be08398c3cd8c017a4033f1df7e33b9ba8\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"68feb4f8fd41ae544cdb2e328ab5f197188cb6ea33ae3a7093a9ad9ec9f7e451\",\"receipt_sha256\":\"631be71101e5056a8120346c6cc71e3029abcc6e57795143bdc75ae754380404\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 2.076352900000004e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: in shell 1 the thermal ions alone carry 0.02500000000000102 of the electron density more charge than the electrons, above the allowance of 0.025 (QUASI_NEUTRALITY_ALLOWANCE) by more than 4 units in the last place: quasi-neutrality cannot hold (ThermalChargeExceedsElectrons).", "outside_answer_is_error": true}
{"id": "edge-44ee9c90f7e4", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.tritium_density_per_m3[2]", "input_unit": "m^-3", "whole_number_input": false, "base_value": 1.76105e+19, "edge_kind": "declared_limit", "direction": "down", "inside_value": 1.6188712752019106e+19, "inside_value_hex": "43ec153b8f3f5ded", "outside_value": 1.6188712752019104e+19, "outside_value_hex": "43ec153b8f3f5dec", "width": 2048.0, "adjacent_64_bit_numbers": true, "stop_name": "BeamChangeTooRecent", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "dbcaf941c7ff2e82ef1348faa8ed1b6bcec3b9cbcdac33a0af2593103cb2d2f5", "outside_proof": "49681a2288137d60ece3fa599928ed7eb5e47a9409b5b3c1b5714778a74f514e", "inside_receipt": "98453fab9cfd6c44ba6fc42570af7208f72418b0e07a26bde82f268cc8fa62ae", "outside_receipt": "d60bb3087649c37ae048782eb9cf88e742e0a72b70664ffe6037e9f497633d7d", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:48:21Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.6188712752019106e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.6188712752019106e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.0569193622465693e17,\"thermal_dt_rate_per_s_hex\":\"4386d61dcf3ea9f1\",\"beam_target_dt_rate_per_s\":1.3695190353764251e17,\"beam_target_dt_rate_per_s_hex\":\"437e68d07d9acbc1\",\"beam_beam_dt_rate_per_s\":7.531160880299219e15,\"beam_beam_dt_rate_per_s_hex\":\"433ac18d09043cd3\",\"dt_rate_per_s\":3.5017500064259866e17,\"dt_rate_per_s_hex\":\"439370493b2a18dc\",\"dt_fusion_power_w\":9.868171323350669e5,\"dt_fusion_power_w_hex\":\"412e1d8243c16c01\",\"dd_neutron_rate_per_s\":1.0131835423447455e15,\"dd_neutron_rate_per_s_hex\":\"430ccbe16911e14c\",\"dd_fusion_power_w\":1.1429118597610006e3,\"dd_fusion_power_w_hex\":\"4091dba5be90b025\",\"neutron_rate_per_s\":3.511881841849434e17,\"neutron_rate_per_s_hex\":\"43937eaf2bdea1cd\",\"fast_ion_count\":1.1594672753167272e19,\"fast_ion_count_hex\":\"43e41d11ae026df1\",\"fast_ion_energy_j\":1.2552953833e5,\"fast_ion_energy_j_hex\":\"40fea5989cffeb07\",\"fast_ion_energy_time_s\":1.1005999999999999e-1,\"fast_ion_energy_time_s_hex\":\"3fbc2ce4649906cc\",\"beam_power_to_electrons_w\":1.5483368065921316e5,\"beam_power_to_electrons_w_hex\":\"4102e68d71fd7522\",\"beam_power_to_ions_w\":8.017185197582466e5,\"beam_power_to_ions_w_hex\":\"4128776d0a1dc0be\",\"beam_power_thermalised_w\":1.821328357537796e5,\"beam_power_thermalised_w_hex\":\"41063ba6af9fad77\",\"beam_target_fused_fraction\":2.0249472221784783e-3,\"beam_target_fused_fraction_hex\":\"3f60969f430d5fd5\",\"beam_beam_fused_fraction\":1.108999834684404e-4,\"beam_beam_fused_fraction_hex\":\"3f1d125f355ff731\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-4.13206752072477e-2,\"charge_excess_min_hex\":\"bfa527fbc953d941\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,4.840942379057364e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"43657f83a99a3109\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.1319070680748666e-16,\"particle_ledger_residual_hex\":\"3ca0500000000000\",\"energy_ledger_residual\":1.8610051542466976e-6,\"energy_ledger_residual_hex\":\"3ebf38f4ce733333\",\"power_ledger_residual\":-1.2789380218480008e-6,\"power_ledger_residual_hex\":\"beb574ff39e9fe6d\"},\"field_sha256\":\"b780a686589f8319a3ff2fe01bbf0af818d076d7c43025c29a1b6353bf37b3de\",\"seal_parts\":{\"inputs\":\"8a04d783f2155b1fe2b80584e18f45b7afb4de6fe07bc2ce28b568d62b0f33ac\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e91938f293c2efc5155382fe4c98a03df76d289c2269694c6fe02064c21f0b0f\",\"invariants\":\"aea07f3027657966209ce52df60eb52ec74944c7e91ba27aa3de80d16fe5a9d6\",\"field_sha256\":\"7b7f3d148475555defd4da9767947e8bd6b6fab0e4536c6b7da6647d5ff1ade3\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"dbcaf941c7ff2e82ef1348faa8ed1b6bcec3b9cbcdac33a0af2593103cb2d2f5\",\"receipt_sha256\":\"98453fab9cfd6c44ba6fc42570af7208f72418b0e07a26bde82f268cc8fa62ae\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.6188712752019104e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.6188712752019104e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"BeamChangeTooRecent\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"5055f0fd910a2c705bcdce7fb5b835a0d14455b143bc2094dce0bbd77bb9e68f\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"23c683add5c24deba84ac07dad766a5778ea93f386dafdd350dcf1a4833e550e\"},\"solution_seal\":\"49681a2288137d60ece3fa599928ed7eb5e47a9409b5b3c1b5714778a74f514e\",\"receipt_sha256\":\"d60bb3087649c37ae048782eb9cf88e742e0a72b70664ffe6037e9f497633d7d\"}", "outside_answer_is_error": false}
{"id": "edge-ae13b74b213f", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.tritium_density_per_m3[2]", "input_unit": "m^-3", "whole_number_input": false, "base_value": 1.76105e+19, "edge_kind": "declared_limit", "direction": "up", "inside_value": 2.2128870000000045e+19, "inside_value_hex": "43f33198a056ecd1", "outside_value": 2.212887000000005e+19, "outside_value_hex": "43f33198a056ecd2", "width": 4096.0, "adjacent_64_bit_numbers": true, "stop_name": "ThermalChargeExceedsElectrons", "stop_sentence": "Physical Violation: in shell 2 the thermal ions alone carry 0.02500000000000102 of the electron density more charge than the electrons, above the allowance of 0.025 (QUASI_NEUTRALITY_ALLOWANCE) by more than 4 units in the last place: quasi-neutrality cannot hold (ThermalChargeExceedsElectrons).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 3, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "88a8ddda94a72f2e285b747576c003001c35204659fe9480738e9e40f1cfe101", "outside_proof": null, "inside_receipt": "d4321e35c6371e58567f2fb5217e720b559491e759e2afc792e33189ee5e9a26", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:48:23Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 2.2128870000000045e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,2.2128870000000045e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":3,\"result\":{\"thermal_dt_rate_per_s\":2.2036484087372995e17,\"thermal_dt_rate_per_s_hex\":\"438877253dea1cfd\",\"beam_target_dt_rate_per_s\":1.4036289403903778e17,\"beam_target_dt_rate_per_s_hex\":\"437f2ab4ef6d7b75\",\"beam_beam_dt_rate_per_s\":7.051203692659284e15,\"beam_beam_dt_rate_per_s_hex\":\"43390d084b570254\",\"dt_rate_per_s\":3.67778938605427e17,\"dt_rate_per_s_hex\":\"43946a73fbfdc965\",\"dt_fusion_power_w\":1.0364262350591448e6,\"dt_fusion_power_w_hex\":\"412fa1147859ac17\",\"dd_neutron_rate_per_s\":1.0050666586100762e15,\"dd_neutron_rate_per_s_hex\":\"430c90d2894bdce2\",\"dd_fusion_power_w\":1.1336893607172753e3,\"dd_fusion_power_w_hex\":\"4091b6c1e7c69f61\",\"neutron_rate_per_s\":3.6878400526403706e17,\"neutron_rate_per_s_hex\":\"439478bc65426f53\",\"fast_ion_count\":1.1164943684514048e19,\"fast_ion_count_hex\":\"43e35e3b240d966d\",\"fast_ion_energy_j\":1.2126055585122247e5,\"fast_ion_energy_j_hex\":\"40fd9ac8e4c4405f\",\"fast_ion_energy_time_s\":1.0631710236917227e-1,\"fast_ion_energy_time_s_hex\":\"3fbb3798fdae5b32\",\"beam_power_to_electrons_w\":1.4889308480961714e5,\"beam_power_to_electrons_w_hex\":\"41022ce8adb0aa20\",\"beam_power_to_ions_w\":8.076507229784108e5,\"beam_power_to_ions_w_hex\":\"4128a5c5722a39ec\",\"beam_power_thermalised_w\":1.821262719688954e5,\"beam_power_thermalised_w_hex\":\"41063b722cfe073a\",\"beam_target_fused_fraction\":2.0749428889485053e-3,\"beam_target_fused_fraction_hex\":\"3f60ff787b2bd719\",\"beam_beam_fused_fraction\":1.0383238193650856e-4,\"beam_beam_fused_fraction_hex\":\"3f1b3812bd1d9010\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":7.191779480419501e-2,\"charge_excess_max_hex\":\"3fb2693460af3887\",\"charge_excess_min\":-1.8675557360200587e-2,\"charge_excess_min_hex\":\"bf931faf7062f3ec\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,5.663621655580656e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"436926cad82763ec\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.1861171766991419e-16,\"particle_ledger_residual_hex\":\"3ca1180000000000\",\"energy_ledger_residual\":1.5286806475334203e-6,\"energy_ledger_residual_hex\":\"3eb9a5a225a9999a\",\"power_ledger_residual\":-7.127576961596265e-7,\"power_ledger_residual_hex\":\"bea7ea8abfda8eed\"},\"field_sha256\":\"42920d8a647d048ed09b8f1f29d0ce13064f8b496cf58982de75b3abd2ff8c7f\",\"seal_parts\":{\"inputs\":\"a60f78c747022e7b7cedf8ad4e2d613cf6c8e45b2edf1e262a6da7cb8e3173ac\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"d3d95063c6727860211f8e0f01c5077bb2d290794f1a25e581389f293651e4fd\",\"invariants\":\"d01d8f9f2ffd4fee388a7bf4c3ddb6b44d0a4d13ac9d8d74d0eca403e9d5e5f5\",\"field_sha256\":\"831bf449f5ea692aeb734bc345c980b2f328da8470e7233af65ee9f5534a8f33\",\"outcome\":\"0d4652e12010aabc6a5ba72c7f8de38695979966b17362b20061e9b3003471ae\"},\"solution_seal\":\"88a8ddda94a72f2e285b747576c003001c35204659fe9480738e9e40f1cfe101\",\"receipt_sha256\":\"d4321e35c6371e58567f2fb5217e720b559491e759e2afc792e33189ee5e9a26\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 2.212887000000005e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: in shell 2 the thermal ions alone carry 0.02500000000000102 of the electron density more charge than the electrons, above the allowance of 0.025 (QUASI_NEUTRALITY_ALLOWANCE) by more than 4 units in the last place: quasi-neutrality cannot hold (ThermalChargeExceedsElectrons).", "outside_answer_is_error": true}
{"id": "edge-fe8eab52e327", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.tritium_density_per_m3[3]", "input_unit": "m^-3", "whole_number_input": false, "base_value": 1.52491e+19, "edge_kind": "declared_limit", "direction": "down", "inside_value": 9.51428370771665e+18, "inside_value_hex": "43e08130d3f25799", "outside_value": 9.514283707716649e+18, "outside_value_hex": "43e08130d3f25798", "width": 2048.0, "adjacent_64_bit_numbers": true, "stop_name": "BeamChangeTooRecent", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "504369107a282265d381d90b1d527f727280488cc3423a45ff9cc97228fe6213", "outside_proof": "729b3d35ee800e3bed8e8b84fa307164abced39267e75f857f6f3c4fd21db616", "inside_receipt": "eee60afb004ae01d77609f8133ca860471a1c77cb8509d04416a0108e20622d7", "outside_receipt": "66e3b56238d01aa22850d6852b08aa2b32b227695980a6836d963ae105bd15ad", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:48:25Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 9.51428370771665e+18], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,9.51428370771665e+18],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.0762327432485613e17,\"thermal_dt_rate_per_s_hex\":\"43870d0224c9e46a\",\"beam_target_dt_rate_per_s\":1.3671879745719155e17,\"beam_target_dt_rate_per_s_hex\":\"437e5b9059c8df28\",\"beam_beam_dt_rate_per_s\":7.432534803085061e15,\"beam_beam_dt_rate_per_s_hex\":\"433a67d9dcb7f705\",\"dt_rate_per_s\":3.5177460658513274e17,\"dt_rate_per_s_hex\":\"43938704904a09db\",\"dt_fusion_power_w\":9.913249314246105e5,\"dt_fusion_power_w_hex\":\"412e40b9dce3afc2\",\"dd_neutron_rate_per_s\":1.012154209584158e15,\"dd_neutron_rate_per_s_hex\":\"430cc46420f620f0\",\"dd_fusion_power_w\":1.1417494695674263e3,\"dd_fusion_power_w_hex\":\"4091d6ff74f345c6\",\"neutron_rate_per_s\":3.5278676079471686e17,\"neutron_rate_per_s_hex\":\"43939566c25a84eb\",\"fast_ion_count\":1.1608188943768906e19,\"fast_ion_count_hex\":\"43e423124aeddecd\",\"fast_ion_energy_j\":1.2552953833e5,\"fast_ion_energy_j_hex\":\"40fea5989cffeb07\",\"fast_ion_energy_time_s\":1.1005999999999999e-1,\"fast_ion_energy_time_s_hex\":\"3fbc2ce4649906cc\",\"beam_power_to_electrons_w\":1.561870871964607e5,\"beam_power_to_electrons_w_hex\":\"410310d8b2940ed8\",\"beam_power_to_ions_w\":8.00370202912899e5,\"beam_power_to_ions_w_hex\":\"41286ce467e43312\",\"beam_power_thermalised_w\":1.8213231951009456e5,\"beam_power_thermalised_w_hex\":\"41063ba28e5b4ef7\",\"beam_target_fused_fraction\":2.021485261058191e-3,\"beam_target_fused_fraction_hex\":\"3f608f5ca2bd293d\",\"beam_beam_fused_fraction\":1.0944766681946016e-4,\"beam_beam_fused_fraction_hex\":\"3f1cb0e899342c39\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-1.556557069324206e-1,\"charge_excess_min_hex\":\"bfc3ec86b55af1e4\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,5.039772763669543e16,4.0872331523574905e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"432d0aa2405228e5\"]},\"invariants\":{\"particle_ledger_residual\":1.2576745200831851e-16,\"particle_ledger_residual_hex\":\"3ca2200000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.276370066753634e-6,\"power_ledger_residual_hex\":\"beb569f7bad04bdd\"},\"field_sha256\":\"3d40ccdf9baef792137af5e3769cb6dc752abb75a835ac604ecf5f20e7890fe2\",\"seal_parts\":{\"inputs\":\"d805d765b86474e24cdec82cb59d0c565cbb1b988ac68f79e4a0161edcd1dc6f\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"a553a2e3fa3b491d945ba9902fb11185eadf4815ec9830b717768e13b7801803\",\"invariants\":\"bb9f71e6ef82742b70fc0f7dcb246cb0a4e221f91bf987bbb1c5dca13985f302\",\"field_sha256\":\"2ce56d41198fc415a2087d743befc8fe0fa0d75542f61ececee367c58dfb7424\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"504369107a282265d381d90b1d527f727280488cc3423a45ff9cc97228fe6213\",\"receipt_sha256\":\"eee60afb004ae01d77609f8133ca860471a1c77cb8509d04416a0108e20622d7\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 9.514283707716649e+18], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,9.514283707716649e+18],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"BeamChangeTooRecent\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"7b6d6996d4674f43d71ecf7ac61c332a8caa5b91b623ff5ef76cd844ebff9fd3\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"23c683add5c24deba84ac07dad766a5778ea93f386dafdd350dcf1a4833e550e\"},\"solution_seal\":\"729b3d35ee800e3bed8e8b84fa307164abced39267e75f857f6f3c4fd21db616\",\"receipt_sha256\":\"66e3b56238d01aa22850d6852b08aa2b32b227695980a6836d963ae105bd15ad\"}", "outside_answer_is_error": false}
{"id": "edge-84dfc5ba44d7", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.tritium_density_per_m3[3]", "input_unit": "m^-3", "whole_number_input": false, "base_value": 1.52491e+19, "edge_kind": "declared_limit", "direction": "up", "inside_value": 1.755679500000004e+19, "inside_value_hex": "43ee74c8810b2b6a", "outside_value": 1.7556795000000043e+19, "outside_value_hex": "43ee74c8810b2b6b", "width": 2048.0, "adjacent_64_bit_numbers": true, "stop_name": "ThermalChargeExceedsElectrons", "stop_sentence": "Physical Violation: in shell 3 the thermal ions alone carry 0.02500000000000102 of the electron density more charge than the electrons, above the allowance of 0.025 (QUASI_NEUTRALITY_ALLOWANCE) by more than 4 units in the last place: quasi-neutrality cannot hold (ThermalChargeExceedsElectrons).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "d54d71c149e750d49e92ba89f3a9c210edd8c70c20fd2073c360c1ccb80a21bb", "outside_proof": null, "inside_receipt": "93f59f959d8db6aaadee6fca1c96e482dfd3edffd707441bdf3a6cf784c54ee3", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:48:27Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.755679500000004e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.755679500000004e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.0983997620891955e17,\"thermal_dt_rate_per_s_hex\":\"43874c02c5ccdf60\",\"beam_target_dt_rate_per_s\":1.382181212229675e17,\"beam_target_dt_rate_per_s_hex\":\"437eb0ca6210450d\",\"beam_beam_dt_rate_per_s\":7.39621834373788e15,\"beam_beam_dt_rate_per_s_hex\":\"433a46d2470f4a18\",\"dt_rate_per_s\":3.554543157756249e17,\"dt_rate_per_s_hex\":\"4393bb4f4486be1b\",\"dt_fusion_power_w\":1.0016946039155789e6,\"dt_fusion_power_w_hex\":\"412e91bd35346c3a\",\"dd_neutron_rate_per_s\":1.010747990752983e15,\"dd_neutron_rate_per_s_hex\":\"430cba28d791f6b8\",\"dd_fusion_power_w\":1.1401419212471228e3,\"dd_fusion_power_w_hex\":\"4091d09153cdac00\",\"neutron_rate_per_s\":3.5646506376637786e17,\"neutron_rate_per_s_hex\":\"4393c9ac58f28716\",\"fast_ion_count\":1.144149643722194e19,\"fast_ion_count_hex\":\"43e3d90b8c7af05b\",\"fast_ion_energy_j\":1.2405585029588953e5,\"fast_ion_energy_j_hex\":\"40fe497d9acfdcd7\",\"fast_ion_energy_time_s\":1.0876792080340635e-1,\"fast_ion_energy_time_s_hex\":\"3fbbd836e6b45d47\",\"beam_power_to_electrons_w\":1.522945669779813e5,\"beam_power_to_electrons_w_hex\":\"41029734892bc07a\",\"beam_power_to_ions_w\":8.042531160895483e5,\"beam_power_to_ions_w_hex\":\"41288b3a3b7016db\",\"beam_power_thermalised_w\":1.8213074755330675e5,\"beam_power_thermalised_w_hex\":\"41063b95fafd3a64\",\"beam_target_fused_fraction\":2.043522970452104e-3,\"beam_target_fused_fraction_hex\":\"3f60bd940a74764a\",\"beam_beam_fused_fraction\":1.0891288940529414e-4,\"beam_beam_fused_fraction_hex\":\"3f1c8d05314361b6\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":3.649489050914416e-2,\"charge_excess_max_hex\":\"3fa2af75526a6e96\",\"charge_excess_min\":-1.4277474285557187e-2,\"charge_excess_min_hex\":\"bf8d3d822901f198\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,5.039772763669543e16,5.408308186909997e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"433336d3e0510d2d\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.3184772705583703e-6,\"power_ledger_residual_hex\":\"beb61ed11706215d\"},\"field_sha256\":\"6d318b46e425764fffd72d75bfc7bf6cc1125716263081374f8b31d35cfdd768\",\"seal_parts\":{\"inputs\":\"54550687eb46a083e37790b3f0fbfbdc8309b7cdbd5af216d49d47edae9e233d\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"8ad5a0996d9fe214c5ed77b319c0dd279b524a07e88d9091e8e0cc0a6e6e28d2\",\"invariants\":\"e89a92245af4daf1f6a94ba8237b267e72c246d6984d6c871f9cfc56b95bfde3\",\"field_sha256\":\"a27c186e220524cff427a27772aaea0db1b892be5b051956ec3657c3b5c8e874\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"d54d71c149e750d49e92ba89f3a9c210edd8c70c20fd2073c360c1ccb80a21bb\",\"receipt_sha256\":\"93f59f959d8db6aaadee6fca1c96e482dfd3edffd707441bdf3a6cf784c54ee3\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.7556795000000043e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: in shell 3 the thermal ions alone carry 0.02500000000000102 of the electron density more charge than the electrons, above the allowance of 0.025 (QUASI_NEUTRALITY_ALLOWANCE) by more than 4 units in the last place: quasi-neutrality cannot hold (ThermalChargeExceedsElectrons).", "outside_answer_is_error": true}
{"id": "edge-00410427c31c", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.impurity_density_per_m3[0]", "input_unit": "m^-3", "whole_number_input": false, "base_value": 8.09588e+17, "edge_kind": "declared_limit", "direction": "down", "inside_value": 3.838758527486878e+17, "inside_value_hex": "43954f343783be27", "outside_value": 3.8387585274868774e+17, "outside_value_hex": "43954f343783be26", "width": 64.0, "adjacent_64_bit_numbers": true, "stop_name": "BeamChangeTooRecent", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "066c73184617f3d3251321c88e20e7473535d7ed6e4d3c4746e53f589952b9e2", "outside_proof": "01c662401279348051cb493fa010966b6b560afa4ed4db2a3622b91d4338dc6e", "inside_receipt": "96a0e3f4526f80491cf82cb585fe109a95076903b83b6bdcad6e7c14484058f2", "outside_receipt": "b12b5e801f85ff00b0c366b7ebb9d82b7cf48ee5a719e6c3c53e238ac93a8071", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:48:28Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [3.838758527486878e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[3.838758527486878e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.3905253026086602e17,\"beam_target_dt_rate_per_s_hex\":\"437ee038a1f5173e\",\"beam_beam_dt_rate_per_s\":7.700720353210366e15,\"beam_beam_dt_rate_per_s_hex\":\"433b5bc3ad2aeffe\",\"dt_rate_per_s\":3.5595717277613965e17,\"dt_rate_per_s_hex\":\"4393c274a69a4bee\",\"dt_fusion_power_w\":1.0031116893794527e6,\"dt_fusion_power_w_hex\":\"412e9ccf60f657f8\",\"dd_neutron_rate_per_s\":1.014310825358347e15,\"dd_neutron_rate_per_s_hex\":\"430cd415237fa058\",\"dd_fusion_power_w\":1.1441476186250609e3,\"dd_fusion_power_w_hex\":\"4091e09729563bab\",\"neutron_rate_per_s\":3.56971483601498e17,\"neutron_rate_per_s_hex\":\"4393d0deb12c0bbe\",\"fast_ion_count\":1.1594157015822572e19,\"fast_ion_count_hex\":\"43e41cd70c13c6a3\",\"fast_ion_energy_j\":1.2552953833e5,\"fast_ion_energy_j_hex\":\"40fea5989cffeb07\",\"fast_ion_energy_time_s\":1.1005999999999999e-1,\"fast_ion_energy_time_s_hex\":\"3fbc2ce4649906cc\",\"beam_power_to_electrons_w\":1.5393819357067658e5,\"beam_power_to_electrons_w_hex\":\"4102ca918c6ec86b\",\"beam_power_to_ions_w\":8.026034003542992e5,\"beam_power_to_ions_w_hex\":\"41287e56ccfb3d1c\",\"beam_power_thermalised_w\":1.821254344304382e5,\"beam_power_thermalised_w_hex\":\"41063b6b79b6aa64\",\"beam_target_fused_fraction\":2.055911272518869e-3,\"beam_target_fused_fraction_hex\":\"3f60d78ef5b9ed90\",\"beam_beam_fused_fraction\":1.133968286483055e-4,\"beam_beam_fused_fraction_hex\":\"3f1db9eeae9b604c\",\"fast_ion_fraction_max\":1.5047120125941393e-1,\"fast_ion_fraction_max_hex\":\"3fc342a3ec3312fc\",\"charge_excess_max\":-4.338027550085284e-3,\"charge_excess_max_hex\":\"bf71c4c0674ee708\",\"charge_excess_min\":-3.982286221517523e-2,\"charge_excess_min_hex\":\"bfa463a985b1d039\",\"dt_rate_density_per_m3_s\":[1.8029232519349405e17,1.760405019827982e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"4384043750f71971\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.448494102440634e-16,\"particle_ledger_residual_hex\":\"3ca4e00000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.2969887867544836e-6,\"power_ledger_residual_hex\":\"beb5c286408bb303\"},\"field_sha256\":\"963ad36bc6d0916b5ebe4c2b7e428af79ebe7c710e6752e5f84b75533980cdf7\",\"seal_parts\":{\"inputs\":\"463e69f7b6156a88981340f278b61a7d765971662e05c10f1a9413c39b3025cb\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"1669025c71e57d10eaf6e5027065d5a6b0f399c67f1e83e37024e79c7715dc66\",\"invariants\":\"137ef41c2fbb4db3e77e0e9e86208176990e211d649ad14275f15d276dad9891\",\"field_sha256\":\"065e0493c89ea122511b7516dc38345a2671d5867ab4788c18295ac3b17f559f\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"066c73184617f3d3251321c88e20e7473535d7ed6e4d3c4746e53f589952b9e2\",\"receipt_sha256\":\"96a0e3f4526f80491cf82cb585fe109a95076903b83b6bdcad6e7c14484058f2\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [3.8387585274868774e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[3.8387585274868774e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"BeamChangeTooRecent\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"0f00b18a269801efd79cb13b226fd6ee8798c47cf991df17095c65006783c1d6\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"23c683add5c24deba84ac07dad766a5778ea93f386dafdd350dcf1a4833e550e\"},\"solution_seal\":\"01c662401279348051cb493fa010966b6b560afa4ed4db2a3622b91d4338dc6e\",\"receipt_sha256\":\"b12b5e801f85ff00b0c366b7ebb9d82b7cf48ee5a719e6c3c53e238ac93a8071\"}", "outside_answer_is_error": false}
{"id": "edge-3a76b09dbb75", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.impurity_density_per_m3[0]", "input_unit": "m^-3", "whole_number_input": false, "base_value": 8.09588e+17, "edge_kind": "declared_limit", "direction": "up", "inside_value": 1.7186469361910804e+18, "inside_value_hex": "43b7d9dc485dfb98", "outside_value": 1.7186469361910807e+18, "outside_value_hex": "43b7d9dc485dfb99", "width": 256.0, "adjacent_64_bit_numbers": true, "stop_name": "IonChargeExceedsElectrons", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (IonChargeExceedsElectrons). in shell 0 the thermal ions and the fast ions this solve finds carry 0.12000000000000033 of the electron density more charge than the electrons, above the allowance of 0.12 (QUASI_NEUTRALITY_FAST_ION_ALLOWANCE), the largest excess on a slice compared: quasi-neutrality cannot hold.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "42e92abd9c321272cb6ed77f49a361741518ee1a99293b68b6993749a914df4e", "outside_proof": "bb21d8d80b58d6b38c314757674f78a4b7c02d2d4a1d96e4a9fbb2681de0ad4c", "inside_receipt": "a8cd64b6e418a47e62f674460016931a52cb3dc25884e1255b5a1ae29bc1f78a", "outside_receipt": "7e70a09b41467006359982261443a960a5a19481ed2f94101948f66676ccfe15", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:48:30Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [1.7186469361910804e+18, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[1.7186469361910804e+18,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.3584280199133872e17,\"beam_target_dt_rate_per_s_hex\":\"437e29c4f05fccae\",\"beam_beam_dt_rate_per_s\":7.000672684535116e15,\"beam_beam_dt_rate_per_s_hex\":\"4338df13208ced4c\",\"dt_rate_per_s\":3.520473968379371e17,\"dt_rate_per_s_hex\":\"43938ae4f802813f\",\"dt_fusion_power_w\":9.920936730381104e5,\"dt_fusion_power_w_hex\":\"412e46bb58987382\",\"dd_neutron_rate_per_s\":1.0059482825059502e15,\"dd_neutron_rate_per_s_hex\":\"430c973cb05456f2\",\"dd_fusion_power_w\":1.1347655876666065e3,\"dd_fusion_power_w_hex\":\"4091bb0ff636992f\",\"neutron_rate_per_s\":3.53053345120443e17,\"neutron_rate_per_s_hex\":\"43939930965aab6a\",\"fast_ion_count\":1.1315548136972407e19,\"fast_ion_count_hex\":\"43e3a11ce280e25a\",\"fast_ion_energy_j\":1.2268763910744754e5,\"fast_ion_energy_j_hex\":\"40fdf3fa39c8bb1d\",\"fast_ion_energy_time_s\":1.0756832009266322e-1,\"fast_ion_energy_time_s_hex\":\"3fbb8998f0e236c5\",\"beam_power_to_electrons_w\":1.5232164420621374e5,\"beam_power_to_electrons_w_hex\":\"4102980d2755965f\",\"beam_power_to_ions_w\":8.042432601560587e5,\"beam_power_to_ions_w_hex\":\"41288b2685332cc8\",\"beam_power_thermalised_w\":1.8214036138308645e5,\"beam_power_thermalised_w_hex\":\"41063be2e41cd0cd\",\"beam_target_fused_fraction\":2.0084093349614094e-3,\"beam_target_fused_fraction_hex\":\"3f6073f08d23f742\",\"beam_beam_fused_fraction\":1.030882884222838e-4,\"beam_beam_fused_fraction_hex\":\"3f1b06234f3b3703\",\"fast_ion_fraction_max\":1.1351369425390077e-1,\"fast_ion_fraction_max_hex\":\"3fbd0f3bc477f93f\",\"charge_excess_max\":1.200000000000002e-1,\"charge_excess_max_hex\":\"3fbeb851eb851ec7\",\"charge_excess_min\":-1.8675557360200587e-2,\"charge_excess_min_hex\":\"bf931faf7062f3ec\",\"dt_rate_density_per_m3_s\":[1.591848710915973e17,1.760405019827982e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"4381ac4e5ff83f80\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.6111244283134596e-16,\"particle_ledger_residual_hex\":\"3ca7380000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.3143703603017734e-6,\"power_ledger_residual_hex\":\"beb60d2d7e8e1c3a\"},\"field_sha256\":\"324d6d7e304e92b3be32bd6b1707c2cafe127e90b417b97b61f4685a08ca9e55\",\"seal_parts\":{\"inputs\":\"36f149649d2cc17b39952caed77f5a933f1ffaa6224e269935e7f5f3550f6fc0\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"669a71157727389a1565f4b7578bc06daf273d5d2b4eeb909c9c9a391c2a512f\",\"invariants\":\"a8847d5706428794b49b23edaf03cb80044f6ca4828af76b6936c733d7f87ecf\",\"field_sha256\":\"c162358f774a11937579f31f981b67127267a193dc4d2523f1441ad380b35063\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"42e92abd9c321272cb6ed77f49a361741518ee1a99293b68b6993749a914df4e\",\"receipt_sha256\":\"a8cd64b6e418a47e62f674460016931a52cb3dc25884e1255b5a1ae29bc1f78a\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [1.7186469361910807e+18, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[1.7186469361910807e+18,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"IonChargeExceedsElectrons\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (IonChargeExceedsElectrons). in shell 0 the thermal ions and the fast ions this solve finds carry 0.12000000000000033 of the electron density more charge than the electrons, above the allowance of 0.12 (QUASI_NEUTRALITY_FAST_ION_ALLOWANCE), the largest excess on a slice compared: quasi-neutrality cannot hold.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"2d2cfe35dd46da054c56f1bb473b1acb798fa3dda466b3856c38719fbec2f6bf\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"7c3a7b714043ee1678380f76aa801eb018c060cfab1df38ebfc52601c37a8ff1\"},\"solution_seal\":\"bb21d8d80b58d6b38c314757674f78a4b7c02d2d4a1d96e4a9fbb2681de0ad4c\",\"receipt_sha256\":\"7e70a09b41467006359982261443a960a5a19481ed2f94101948f66676ccfe15\"}", "outside_answer_is_error": false}
{"id": "edge-f6253ef30e93", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.impurity_density_per_m3[1]", "input_unit": "m^-3", "whole_number_input": false, "base_value": 7.77101e+17, "edge_kind": "declared_limit", "direction": "down", "inside_value": 6.257382389695886e+17, "inside_value_hex": "43a15e2339e05257", "outside_value": 6.257382389695885e+17, "outside_value_hex": "43a15e2339e05256", "width": 128.0, "adjacent_64_bit_numbers": true, "stop_name": "BeamChangeTooRecent", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "d58554eedf8621676882db8680734f340914e617c59ff96f65d611e45c83654e", "outside_proof": "2185c7e0c253c259f157ff659ccf61157bae2368d54d9c3f4863ff66caf11d8c", "inside_receipt": "78c8070fb825a527cd3cb3064ab686b6efd6c3d013e6d2f9490754b0725d39b9", "outside_receipt": "e1f7e79577dcce86c0fba5bb45455e7a68abe782ee8a8eb92750db60a76e162e", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:48:32Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 6.257382389695886e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,6.257382389695886e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.3927672605821483e17,\"beam_target_dt_rate_per_s_hex\":\"437eecf71c62de5b\",\"beam_beam_dt_rate_per_s\":7.57243381344958e15,\"beam_beam_dt_rate_per_s_hex\":\"433ae716a3892b6c\",\"dt_rate_per_s\":3.5605308203372774e17,\"dt_rate_per_s_hex\":\"4393c3d1910f36a4\",\"dt_fusion_power_w\":1.0033819682353499e6,\"dt_fusion_power_w_hex\":\"412e9eebefbc8b35\",\"dd_neutron_rate_per_s\":1.014842177236455e15,\"dd_neutron_rate_per_s_hex\":\"430cd7f2dbd16f38\",\"dd_fusion_power_w\":1.1447483260306567e3,\"dd_fusion_power_w_hex\":\"4091e2fe492dd1aa\",\"neutron_rate_per_s\":3.570679242109642e17,\"neutron_rate_per_s_hex\":\"4393d23d8a7d1f5c\",\"fast_ion_count\":1.1595525749812466e19,\"fast_ion_count_hex\":\"43e41d72a77aaef2\",\"fast_ion_energy_j\":1.2552953833e5,\"fast_ion_energy_j_hex\":\"40fea5989cffeb07\",\"fast_ion_energy_time_s\":1.1005999999999999e-1,\"fast_ion_energy_time_s_hex\":\"3fbc2ce4649906cc\",\"beam_power_to_electrons_w\":1.5407532676129916e5,\"beam_power_to_electrons_w_hex\":\"4102ceda9d35072c\",\"beam_power_to_ions_w\":8.024642506304975e5,\"beam_power_to_ions_w_hex\":\"41287d408052a3fc\",\"beam_power_thermalised_w\":1.821247357749625e5,\"beam_power_thermalised_w_hex\":\"41063b65e2ddfbc9\",\"beam_target_fused_fraction\":2.0592278359139547e-3,\"beam_target_fused_fraction_hex\":\"3f60de8386ba7a14\",\"beam_beam_fused_fraction\":1.1150774735462194e-4,\"beam_beam_fused_fraction_hex\":\"3f1d3b288336ccb9\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-2.247569366946301e-2,\"charge_excess_min_hex\":\"bf9703de450f9fc2\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.7746463017333315e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"4383b3d9208d6bb5\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.2965337058779456e-6,\"power_ledger_residual_hex\":\"beb5c091e2aaa4ad\"},\"field_sha256\":\"eb17a6c9546580f945fbd5fe9ac6a8c09afcc0cd700a8469c930bc6b231ab83d\",\"seal_parts\":{\"inputs\":\"a090d14047b66313269d33afaf721e4574721576651a8cbdcda2f50617a5d57c\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"b922f8e09187e1c199eb88eb529eda9e6e3aa8baf208f3ee0292649fdc02f703\",\"invariants\":\"49af9d3d583691a3d621686f3225f28b5ffddc53fc3352cab2a367797732b195\",\"field_sha256\":\"efd96e5cf85db8df66be4fdd053c4e19313b6a4b2066451e3e50dd1f1431489a\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"d58554eedf8621676882db8680734f340914e617c59ff96f65d611e45c83654e\",\"receipt_sha256\":\"78c8070fb825a527cd3cb3064ab686b6efd6c3d013e6d2f9490754b0725d39b9\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 6.257382389695885e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,6.257382389695885e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"BeamChangeTooRecent\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"e74ed02b999c2ffb04f7fe702a39f0259e35d055e8e5202d7ee6cabe2f794a46\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"23c683add5c24deba84ac07dad766a5778ea93f386dafdd350dcf1a4833e550e\"},\"solution_seal\":\"2185c7e0c253c259f157ff659ccf61157bae2368d54d9c3f4863ff66caf11d8c\",\"receipt_sha256\":\"e1f7e79577dcce86c0fba5bb45455e7a68abe782ee8a8eb92750db60a76e162e\"}", "outside_answer_is_error": false}
{"id": "edge-52d792233a00", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.impurity_density_per_m3[1]", "input_unit": "m^-3", "whole_number_input": false, "base_value": 7.77101e+17, "edge_kind": "declared_limit", "direction": "up", "inside_value": 1.533472500000007e+18, "inside_value_hex": "43b547fd1d3354a3", "outside_value": 1.5334725000000072e+18, "outside_value_hex": "43b547fd1d3354a4", "width": 256.0, "adjacent_64_bit_numbers": true, "stop_name": "ThermalChargeExceedsElectrons", "stop_sentence": "Physical Violation: in shell 1 the thermal ions alone carry 0.02500000000000102 of the electron density more charge than the electrons, above the allowance of 0.025 (QUASI_NEUTRALITY_ALLOWANCE) by more than 4 units in the last place: quasi-neutrality cannot hold (ThermalChargeExceedsElectrons).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "dc92aece11c959d560137a70cff0b9491d4358cb4f184454a4d2ed1fb3610fe9", "outside_proof": null, "inside_receipt": "f9042e06e9cb3252a83e85a08edc1d7c835dc3db4382504d8d43f8602dd1ed2c", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:48:34Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 1.533472500000007e+18, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,1.533472500000007e+18,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.3164598413887027e17,\"beam_target_dt_rate_per_s_hex\":\"437d3b35338b43e0\",\"beam_beam_dt_rate_per_s\":6.759474322754866e15,\"beam_beam_dt_rate_per_s_hex\":\"433803b4c1e04d32\",\"dt_rate_per_s\":3.4760938062368845e17,\"dt_rate_per_s_hex\":\"43934bd38f52ac8c\",\"dt_fusion_power_w\":9.795870394241613e5,\"dt_fusion_power_w_hex\":\"412de506142f6757\",\"dd_neutron_rate_per_s\":9.95246968689861e14,\"dd_neutron_rate_per_s_hex\":\"430c495ff042a628\",\"dd_fusion_power_w\":1.1227399969638157e3,\"dd_fusion_power_w_hex\":\"40918af5c1c39ae9\",\"neutron_rate_per_s\":3.486046275923783e17,\"neutron_rate_per_s_hex\":\"439359f83f4acddf\",\"fast_ion_count\":1.1026761592096084e19,\"fast_ion_count_hex\":\"43e320dda7dcf9da\",\"fast_ion_energy_j\":1.1982578915035256e5,\"fast_ion_energy_j_hex\":\"40fd411ca05c1ebe\",\"fast_ion_energy_time_s\":1.0505914806456376e-1,\"fast_ion_energy_time_s_hex\":\"3fbae52805153a72\",\"beam_power_to_electrons_w\":1.501099434922193e5,\"beam_power_to_electrons_w_hex\":\"410252ef8c45a60f\",\"beam_power_to_ions_w\":8.064869867667385e5,\"beam_power_to_ions_w_hex\":\"41289cadf9397d6d\",\"beam_power_thermalised_w\":1.8215842042595954e5,\"beam_power_thermalised_w_hex\":\"41063c735d084915\",\"beam_target_fused_fraction\":1.9463052572780484e-3,\"beam_target_fused_fraction_hex\":\"3f5fe3655b650aa0\",\"beam_beam_fused_fraction\":9.95365259836381e-5,\"beam_beam_fused_fraction_hex\":\"3f1a17c87ed46aa4\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.811348075562267e-2,\"charge_excess_max_hex\":\"3fb68e9ae62e9fba\",\"charge_excess_min\":-1.8675557360200587e-2,\"charge_excess_min_hex\":\"bf931faf7062f3ec\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.7005761465521034e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"4382e153ff06fe1b\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.3342330482943432e-6,\"power_ledger_residual_hex\":\"beb6627cc031fb1b\"},\"field_sha256\":\"fea0367527ed858d8a4ceb4ef7c23add57880fde0084f6d5be34076a795ae1c9\",\"seal_parts\":{\"inputs\":\"3db7017d75de59cceb0d808ac1875357057b646753dcb065d09099d1c9739886\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"3edc561e57507a041161d3c55efc871c029613496a8dfbcec98a22ec00430477\",\"invariants\":\"6db2d8c79a268b78e28622e66887eac81b0b6ef70c536f14dbee9695781b2255\",\"field_sha256\":\"1ce6891e6e3dc1189022f99d78046a75a030a89133debb6553d23786a529ed98\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"dc92aece11c959d560137a70cff0b9491d4358cb4f184454a4d2ed1fb3610fe9\",\"receipt_sha256\":\"f9042e06e9cb3252a83e85a08edc1d7c835dc3db4382504d8d43f8602dd1ed2c\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 1.5334725000000072e+18, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: in shell 1 the thermal ions alone carry 0.02500000000000102 of the electron density more charge than the electrons, above the allowance of 0.025 (QUASI_NEUTRALITY_ALLOWANCE) by more than 4 units in the last place: quasi-neutrality cannot hold (ThermalChargeExceedsElectrons).", "outside_answer_is_error": true}
{"id": "edge-56dcec47af74", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.impurity_density_per_m3[2]", "input_unit": "m^-3", "whole_number_input": false, "base_value": 1.92707e+18, "edge_kind": "declared_limit", "direction": "down", "inside_value": 1.7634833073702538e+18, "inside_value_hex": "43b87926b987228e", "outside_value": 1.7634833073702536e+18, "outside_value_hex": "43b87926b987228d", "width": 256.0, "adjacent_64_bit_numbers": true, "stop_name": "BeamChangeTooRecent", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "9a913322b9f22feb24d4f3b7c455e04e86d8c49c14fb681f9cc249ca026074f3", "outside_proof": "f904bdceb3e50b37693279fbc71920a0f51a5f7eb83e196642e46fdaca06ac6a", "inside_receipt": "b7a186a8c30316ada47f6fe99ce5b9f5d9a7f5ad9735e2d53a4171dba498c0bf", "outside_receipt": "5ee27b484b3409cbc239ac1ea0fcf04e3bcb0b7f2711932e7f7d174b280a4766", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:48:36Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.7634833073702538e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.7634833073702538e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.3895309687367406e17,\"beam_target_dt_rate_per_s_hex\":\"437eda91afb98855\",\"beam_beam_dt_rate_per_s\":7.535752069945535e15,\"beam_beam_dt_rate_per_s_hex\":\"433ac5ba013e98bf\",\"dt_rate_per_s\":3.556927711056829e17,\"dt_rate_per_s_hex\":\"4393beb2c35bb6d7\",\"dt_fusion_power_w\":1.0023665873654713e6,\"dt_fusion_power_w_hex\":\"412e96fd2cbb2ac4\",\"dd_neutron_rate_per_s\":1.0131545136446591e15,\"dd_neutron_rate_per_s_hex\":\"430ccbab571b6399\",\"dd_fusion_power_w\":1.1428793616204255e3,\"dd_fusion_power_w_hex\":\"4091db84775f6457\",\"neutron_rate_per_s\":3.5670592561932755e17,\"neutron_rate_per_s_hex\":\"4393cd1899074489\",\"fast_ion_count\":1.1600844295587879e19,\"fast_ion_count_hex\":\"43e41fcf4d88a43b\",\"fast_ion_energy_j\":1.2552953833e5,\"fast_ion_energy_j_hex\":\"40fea5989cffeb07\",\"fast_ion_energy_time_s\":1.1005999999999999e-1,\"fast_ion_energy_time_s_hex\":\"3fbc2ce4649906cc\",\"beam_power_to_electrons_w\":1.5481404687918315e5,\"beam_power_to_electrons_w_hex\":\"4102e5f060023174\",\"beam_power_to_ions_w\":8.017232749303029e5,\"beam_power_to_ions_w_hex\":\"412877768cc3aa27\",\"beam_power_thermalised_w\":1.8212896702333912e5,\"beam_power_thermalised_w_hex\":\"41063b87bc76bb80\",\"beam_target_fused_fraction\":2.054414939560588e-3,\"beam_target_fused_fraction_hex\":\"3f60d46b9f4a5ae3\",\"beam_beam_fused_fraction\":1.1096759095471902e-4,\"beam_beam_fused_fraction_hex\":\"3f1d16e8b23e77f3\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-3.2577191720622276e-2,\"charge_excess_min_hex\":\"bfa0adf52a123976\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,5.098802604546504e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"4366a4aadd87a03a\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":9.80118763926896e-17,\"particle_ledger_residual_hex\":\"3c9c400000000000\",\"energy_ledger_residual\":2.0203040946853434e-6,\"energy_ledger_residual_hex\":\"3ec0f291ec000000\",\"power_ledger_residual\":-1.3196471104543555e-6,\"power_ledger_residual_hex\":\"beb623d757ae71d1\"},\"field_sha256\":\"abbef61d62f52fa1628a04a090464eeed7908eaf4bef9552357749434ad38835\",\"seal_parts\":{\"inputs\":\"6c9419c9dcde54624f693c9afb3fd8853a580c7baada8d23c973f0c10d11dc75\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"25a1fd0a11b48f1d452248fed82c6db8bdd65b3fc60a9fc82721c6ba344fd523\",\"invariants\":\"b0623bea3e1ee5670bce0f0d4cfc4626121d897bb224c8889bee4f4019becd70\",\"field_sha256\":\"690a134d8ed5b463746b8093cb420197f08c146e8c17e3db323ed7a539f28d44\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"9a913322b9f22feb24d4f3b7c455e04e86d8c49c14fb681f9cc249ca026074f3\",\"receipt_sha256\":\"b7a186a8c30316ada47f6fe99ce5b9f5d9a7f5ad9735e2d53a4171dba498c0bf\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.7634833073702536e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.7634833073702536e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"BeamChangeTooRecent\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"6fc9d3b9651617b631d42564050300dff50a073190bb9281e64277014851deb2\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"23c683add5c24deba84ac07dad766a5778ea93f386dafdd350dcf1a4833e550e\"},\"solution_seal\":\"f904bdceb3e50b37693279fbc71920a0f51a5f7eb83e196642e46fdaca06ac6a\",\"receipt_sha256\":\"5ee27b484b3409cbc239ac1ea0fcf04e3bcb0b7f2711932e7f7d174b280a4766\"}", "outside_answer_is_error": false}
{"id": "edge-3c4bf976712a", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.impurity_density_per_m3[2]", "input_unit": "m^-3", "whole_number_input": false, "base_value": 1.92707e+18, "edge_kind": "declared_limit", "direction": "up", "inside_value": 2.680131666666674e+18, "inside_value_hex": "43c298dec68378ac", "outside_value": 2.6801316666666747e+18, "outside_value_hex": "43c298dec68378ad", "width": 512.0, "adjacent_64_bit_numbers": true, "stop_name": "ThermalChargeExceedsElectrons", "stop_sentence": "Physical Violation: in shell 2 the thermal ions alone carry 0.02500000000000102 of the electron density more charge than the electrons, above the allowance of 0.025 (QUASI_NEUTRALITY_ALLOWANCE) by more than 4 units in the last place: quasi-neutrality cannot hold (ThermalChargeExceedsElectrons).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "45b96b68c816b0b6a1e7080c11ecfe22170c821348bdaf1c0e1c34f14bb7062a", "outside_proof": null, "inside_receipt": "1e7b92153f17c09691b478d339d503f6081a84cdeecf6a374b41de4918d86203", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:48:38Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 2.680131666666674e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,2.680131666666674e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.3310532866673381e17,\"beam_target_dt_rate_per_s_hex\":\"437d8e29758e46cf\",\"beam_beam_dt_rate_per_s\":6.898589077348046e15,\"beam_beam_dt_rate_per_s_hex\":\"4338823aef681ece\",\"dt_rate_per_s\":3.4920783990614515e17,\"dt_rate_per_s_hex\":\"4393628ab8898c8e\",\"dt_fusion_power_w\":9.840916071470816e5,\"dt_fusion_power_w_hex\":\"412e083736dbfb77\",\"dd_neutron_rate_per_s\":1.0026908192568699e15,\"dd_neutron_rate_per_s_hex\":\"430c7f8930cf912f\",\"dd_fusion_power_w\":1.1309883690198358e3,\"dd_fusion_power_w_hex\":\"4091abf41702224c\",\"neutron_rate_per_s\":3.5021053072540205e17,\"neutron_rate_per_s_hex\":\"439370ca7d21f457\",\"fast_ion_count\":1.1013399382192445e19,\"fast_ion_count_hex\":\"43e31aee8c5f22cb\",\"fast_ion_energy_j\":1.1995385860959277e5,\"fast_ion_energy_j_hex\":\"40fd491dbcdd6990\",\"fast_ion_energy_time_s\":1.0517143498022917e-1,\"fast_ion_energy_time_s_hex\":\"3fbaec83e1b6a647\",\"beam_power_to_electrons_w\":1.4714011800838145e5,\"beam_power_to_electrons_w_hex\":\"4101f620f1ae60d8\",\"beam_power_to_ions_w\":8.094641847989773e5,\"beam_power_to_ions_w_hex\":\"4128b3f05e9df8b8\",\"beam_power_thermalised_w\":1.8214031172193348e5,\"beam_power_thermalised_w_hex\":\"41063be27e6811ae\",\"beam_target_fused_fraction\":1.968003550318287e-3,\"beam_target_fused_fraction_hex\":\"3f601f33dc628a80\",\"beam_beam_fused_fraction\":1.0158505797356777e-4,\"beam_beam_fused_fraction_hex\":\"3f1aa14201cd0ae2\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":7.05204844219828e-2,\"charge_excess_max_hex\":\"3fb20da1664a5dca\",\"charge_excess_min\":-1.8675557360200587e-2,\"charge_excess_min_hex\":\"bf931faf7062f3ec\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,4.795744361623573e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"43654c214ee29c1a\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.0928757898653885e-16,\"particle_ledger_residual_hex\":\"3c9f800000000000\",\"energy_ledger_residual\":1.8544681637866488e-6,\"energy_ledger_residual_hex\":\"3ebf1ce14f366666\",\"power_ledger_residual\":-1.2533022280963821e-6,\"power_ledger_residual_hex\":\"beb506e45f76ffea\"},\"field_sha256\":\"6b892438bc96b3da80fa1a27766a3b083f9119d50c83d7c6a573add2ef661364\",\"seal_parts\":{\"inputs\":\"539e562b35b32da5180862551e894840f20237d33dab3dccfa1d2fadfdce8957\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"f6e325e35baa7e7100603117e0423499f4ef364c17123176b16f311846982ee9\",\"invariants\":\"08fa828e4fa9ec360d6a9ab66c0b40451054f33651b991896aea02527b75e784\",\"field_sha256\":\"6039abdfe19aa7d56abb68bf1ef0250d127ae2cbd8d7dd526a9d383c3c9cf6fb\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"45b96b68c816b0b6a1e7080c11ecfe22170c821348bdaf1c0e1c34f14bb7062a\",\"receipt_sha256\":\"1e7b92153f17c09691b478d339d503f6081a84cdeecf6a374b41de4918d86203\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 2.6801316666666747e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: in shell 2 the thermal ions alone carry 0.02500000000000102 of the electron density more charge than the electrons, above the allowance of 0.025 (QUASI_NEUTRALITY_ALLOWANCE) by more than 4 units in the last place: quasi-neutrality cannot hold (ThermalChargeExceedsElectrons).", "outside_answer_is_error": true}
{"id": "edge-61afcead4499", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.impurity_density_per_m3[3]", "input_unit": "m^-3", "whole_number_input": false, "base_value": 2.19865e+18, "edge_kind": "declared_limit", "direction": "down", "inside_value": 1.527588221738323e+18, "inside_value_hex": "43b5331564e7c88c", "outside_value": 1.5275882217383227e+18, "outside_value_hex": "43b5331564e7c88b", "width": 256.0, "adjacent_64_bit_numbers": true, "stop_name": "BeamChangeTooRecent", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "1d6c60c5328419904c5b6fd52ddcb4010227604ce48d8b0ee8fe1ab0dd4a4b6f", "outside_proof": "59d1195eb48944fe2d5f0b1e7f3177532e549143ff79a2fc38b088f71be6d59a", "inside_receipt": "38480d67e416825f3cdcb147ec40ce71bb6dcbf74c6d622cf66d57851796b195", "outside_receipt": "b257ef92bcced26d31a368f4e051884e5631bc447ef526986edbcb97754cf16a", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:48:40Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 1.527588221738323e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,1.527588221738323e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.3854180007840635e17,\"beam_target_dt_rate_per_s_hex\":\"437ec33087c3772d\",\"beam_beam_dt_rate_per_s\":7.433099647338583e15,\"beam_beam_dt_rate_per_s_hex\":\"433a685d600f4857\",\"dt_rate_per_s\":3.551788218878082e17,\"dt_rate_per_s_hex\":\"4393b76506d9754b\",\"dt_fusion_power_w\":1.0009182432734651e6,\"dt_fusion_power_w_hex\":\"412e8bac7c8e56f1\",\"dd_neutron_rate_per_s\":1.0121423489040411e15,\"dd_neutron_rate_per_s_hex\":\"430cc44e09593349\",\"dd_fusion_power_w\":1.141735945826472e3,\"dd_fusion_power_w_hex\":\"4091d6f19bc8614d\",\"neutron_rate_per_s\":3.5619096423671226e17,\"neutron_rate_per_s_hex\":\"4393c5c72dde21e5\",\"fast_ion_count\":1.161261864757068e19,\"fast_ion_count_hex\":\"43e42509e44710e1\",\"fast_ion_energy_j\":1.2552953833e5,\"fast_ion_energy_j_hex\":\"40fea5989cffeb07\",\"fast_ion_energy_time_s\":1.1005999999999999e-1,\"fast_ion_energy_time_s_hex\":\"3fbc2ce4649906cc\",\"beam_power_to_electrons_w\":1.5617042076503643e5,\"beam_power_to_electrons_w_hex\":\"410310535dba0f36\",\"beam_power_to_ions_w\":8.00371150208379e5,\"beam_power_to_ions_w_hex\":\"41286ce64ce81cd7\",\"beam_power_thermalised_w\":1.8213040470100835e5,\"beam_power_thermalised_w_hex\":\"41063b933cd3e1dc\",\"beam_target_fused_fraction\":2.048329514356595e-3,\"beam_target_fused_fraction_hex\":\"3f60c7a888d1a8b3\",\"beam_beam_fused_fraction\":1.094559844240597e-4,\"beam_beam_fused_fraction_hex\":\"3f1cb1777e6a6aa1\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-1.1449346472233618e-1,\"charge_excess_min_hex\":\"bfbd4f71969691e4\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,5.039772763669543e16,5.309401431368873e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"4332dcdf5a4964a9\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.3162879125113436e-6,\"power_ledger_residual_hex\":\"beb61569dd84c625\"},\"field_sha256\":\"aff8f1b55d4e78ca9441d2c16595dcc5357aea7f7a8df2eb31eda1ef4b5031b2\",\"seal_parts\":{\"inputs\":\"a8742ff52df5fbd91b49d58e0c30382af7e5243a920b0b3757c6233f26aefee4\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"21881c2d3616e973add766925356a84cf4cc3c618625937decf2fdcdfc9e7058\",\"invariants\":\"56223e21e4e58bc47ff200f2f251af18a7c517425c97220e0d0ea172351cec67\",\"field_sha256\":\"d54ff89ec6921102156649ce30f9db097e10619bcdbbaae39eea55806d4edeab\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"1d6c60c5328419904c5b6fd52ddcb4010227604ce48d8b0ee8fe1ab0dd4a4b6f\",\"receipt_sha256\":\"38480d67e416825f3cdcb147ec40ce71bb6dcbf74c6d622cf66d57851796b195\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 1.5275882217383227e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,1.5275882217383227e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"BeamChangeTooRecent\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"4a314757d25b1559b574974e55926ba22e42c1b595adffa6200e7a631f9510d0\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"23c683add5c24deba84ac07dad766a5778ea93f386dafdd350dcf1a4833e550e\"},\"solution_seal\":\"59d1195eb48944fe2d5f0b1e7f3177532e549143ff79a2fc38b088f71be6d59a\",\"receipt_sha256\":\"b257ef92bcced26d31a368f4e051884e5631bc447ef526986edbcb97754cf16a\"}", "outside_answer_is_error": false}
{"id": "edge-6948c61fb975", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.impurity_density_per_m3[3]", "input_unit": "m^-3", "whole_number_input": false, "base_value": 2.19865e+18, "edge_kind": "declared_limit", "direction": "up", "inside_value": 2.58326583333334e+18, "inside_value_hex": "43c1eccd4b5a1e5c", "outside_value": 2.5832658333333407e+18, "outside_value_hex": "43c1eccd4b5a1e5d", "width": 512.0, "adjacent_64_bit_numbers": true, "stop_name": "ThermalChargeExceedsElectrons", "stop_sentence": "Physical Violation: in shell 3 the thermal ions alone carry 0.02500000000000102 of the electron density more charge than the electrons, above the allowance of 0.025 (QUASI_NEUTRALITY_ALLOWANCE) by more than 4 units in the last place: quasi-neutrality cannot hold (ThermalChargeExceedsElectrons).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "29563bd43f2d1641dcfa2ed0c3d6f4fe06905eb0a0dea42134e10a45158a6621", "outside_proof": null, "inside_receipt": "974ded9ee3a979a3097bf4b1bf0585bf3875ed191c4f5f6f412b53b3640e60dd", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:48:41Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.58326583333334e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.58326583333334e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.3745137413981382e17,\"beam_target_dt_rate_per_s_hex\":\"437e8534be97e2fc\",\"beam_beam_dt_rate_per_s\":7.392413496142006e15,\"beam_beam_dt_rate_per_s_hex\":\"433a435c647868b6\",\"dt_rate_per_s\":3.5404770979801914e17,\"dt_rate_per_s_hex\":\"4393a75210a034c1\",\"dt_fusion_power_w\":9.977306919441387e5,\"dt_fusion_power_w_hex\":\"412e72c56246808d\",\"dd_neutron_rate_per_s\":1.010601893947661e15,\"dd_neutron_rate_per_s_hex\":\"430cb918b72f4868\",\"dd_fusion_power_w\":1.1399749134469816e3,\"dd_fusion_power_w_hex\":\"4091cfe64fb5ecde\",\"neutron_rate_per_s\":3.550583116919668e17,\"neutron_rate_per_s_hex\":\"4393b5ae9cfbcc65\",\"fast_ion_count\":1.142219373662847e19,\"fast_ion_count_hex\":\"43e3d07915f46dd0\",\"fast_ion_energy_j\":1.2389747551161921e5,\"fast_ion_energy_j_hex\":\"40fe3f979bb21256\",\"fast_ion_energy_time_s\":1.0862906321666872e-1,\"fast_ion_energy_time_s_hex\":\"3fbbcf1d41e92435\",\"beam_power_to_electrons_w\":1.518823285594464e5,\"beam_power_to_electrons_w_hex\":\"41028a52a0e3c669\",\"beam_power_to_ions_w\":8.046723617257128e5,\"beam_power_to_ions_w_hex\":\"41288e80b9341cd5\",\"beam_power_thermalised_w\":1.8213155322458697e5,\"beam_power_thermalised_w_hex\":\"41063b9c6d010323\",\"beam_target_fused_fraction\":2.0322280355794344e-3,\"beam_target_fused_fraction_hex\":\"3f60a5e41e6d2ed5\",\"beam_beam_fused_fraction\":1.0885686118571565e-4,\"beam_beam_fused_fraction_hex\":\"3f1c8942a28c2d7e\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":3.632807906452636e-2,\"charge_excess_max_hex\":\"3fa299980f046cdb\",\"charge_excess_min\":-1.4277474285557187e-2,\"charge_excess_min_hex\":\"bf8d3d822901f198\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,5.039772763669543e16,4.903313921257506e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"43316b89bc7fb022\"]},\"invariants\":{\"particle_ledger_residual\":1.6241348543832856e-16,\"particle_ledger_residual_hex\":\"3ca7680000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.3023652406493542e-6,\"power_ledger_residual_hex\":\"beb5d99db9c7d1ca\"},\"field_sha256\":\"44ab8ec78996d8a1f935f94bf23fcd89cd1ad66345e60c296f182cad13c8b6d2\",\"seal_parts\":{\"inputs\":\"e406ae57e47778ad694a0b4a0e9c4dbc9778dfc2ab2bebcba86bcd2cf9faa1f5\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"50369a2f550a5950074edb2456c3ecc68b27eebbd9fe3ca1f0881d5911d85bf0\",\"invariants\":\"77ad7d4947db77b66b42e515dcec42668bd0dc630ef6f445534a1b61dbf84c19\",\"field_sha256\":\"a43c7ee51ca6f1ec357ea952dfc1a793ba87e322d1ae00605429040231fb111a\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"29563bd43f2d1641dcfa2ed0c3d6f4fe06905eb0a0dea42134e10a45158a6621\",\"receipt_sha256\":\"974ded9ee3a979a3097bf4b1bf0585bf3875ed191c4f5f6f412b53b3640e60dd\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.5832658333333407e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: in shell 3 the thermal ions alone carry 0.02500000000000102 of the electron density more charge than the electrons, above the allowance of 0.025 (QUASI_NEUTRALITY_ALLOWANCE) by more than 4 units in the last place: quasi-neutrality cannot hold (ThermalChargeExceedsElectrons).", "outside_answer_is_error": true}
{"id": "edge-c6a189dfe502", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.impurity_charge", "input_unit": "1", "whole_number_input": false, "base_value": 6.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 5.855379637129728, "inside_value_hex": "40176be8a3bc8bce", "outside_value": 5.855379637129727, "outside_value_hex": "40176be8a3bc8bcd", "width": 8.881784197001252e-16, "adjacent_64_bit_numbers": true, "stop_name": "BeamChangeTooRecent", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "1fc40ace395bc589c57b87cadc64d64668ea692ed9dd35032e3672921fdf70f5", "outside_proof": "423fb1a095d092600b1ae365e3fa71ed5647d1167924a93220ff7d09a523786b", "inside_receipt": "09d0000fb5de7663ffffd348555288a8ef460c3c816f6ad30906715c36b65604", "outside_receipt": "a48d2196f35817b560f58f5f0eec74d058610e54c4f6e45008434a7e803bacda", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:48:43Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 5.855379637129728, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":5.855379637129728,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.3897814759663514e17,\"beam_target_dt_rate_per_s_hex\":\"437edbfe38f0a0c0\",\"beam_beam_dt_rate_per_s\":7.540502471270241e15,\"beam_beam_dt_rate_per_s_hex\":\"433aca0c0b3a5f61\",\"dt_rate_per_s\":3.557225722299687e17,\"dt_rate_per_s_hex\":\"4393bf1f2dd16c0d\",\"dt_fusion_power_w\":1.0024505689745356e6,\"dt_fusion_power_w_hex\":\"412e97a52350a15d\",\"dd_neutron_rate_per_s\":1.013498052651918e15,\"dd_neutron_rate_per_s_hex\":\"430cce2b3b455c70\",\"dd_fusion_power_w\":1.1432555171349734e3,\"dd_fusion_power_w_hex\":\"4091dd05a648a91d\",\"neutron_rate_per_s\":3.567360702826206e17,\"neutron_rate_per_s_hex\":\"4393cd86436f0ebb\",\"fast_ion_count\":1.1600095354353609e19,\"fast_ion_count_hex\":\"43e41f7a28799cfd\",\"fast_ion_energy_j\":1.2552953833e5,\"fast_ion_energy_j_hex\":\"40fea5989cffeb07\",\"fast_ion_energy_time_s\":1.1005999999999999e-1,\"fast_ion_energy_time_s_hex\":\"3fbc2ce4649906cc\",\"beam_power_to_electrons_w\":1.5476497843632632e5,\"beam_power_to_electrons_w_hex\":\"4102e467d3d66cb6\",\"beam_power_to_ions_w\":8.017737764651703e5,\"beam_power_to_ions_w_hex\":\"412877db8d8cd7c2\",\"beam_power_thermalised_w\":1.8212789989614993e5,\"beam_power_thermalised_w_hex\":\"41063b7f32fcc0ae\",\"beam_target_fused_fraction\":2.054793354202609e-3,\"beam_target_fused_fraction_hex\":\"3f60d536c833ec7c\",\"beam_beam_fused_fraction\":1.1103754290990251e-4,\"beam_beam_fused_fraction_hex\":\"3f1d1b9a76324b09\",\"fast_ion_fraction_max\":1.3717374260501614e-1,\"fast_ion_fraction_max_hex\":\"3fc18ee8c12de238\",\"charge_excess_max\":6.763997963706268e-3,\"charge_excess_max_hex\":\"3f7bb490e0b59258\",\"charge_excess_min\":-2.6175012895411888e-2,\"charge_excess_min_hex\":\"bf9acd9f616ec4ba\",\"dt_rate_density_per_m3_s\":[1.7270288488306022e17,1.7637246885209338e17,5.071822178841681e16,5.078836118162761e15],\"dt_rate_density_per_m3_s_hex\":[\"43832c82dec91eb0\",\"438394ce9b90b38e\",\"436685fe872ad165\",\"43320b2caeb20d49\"]},\"invariants\":{\"particle_ledger_residual\":2.0469737016526324e-16,\"particle_ledger_residual_hex\":\"3cad800000000000\",\"energy_ledger_residual\":2.005943587213288e-6,\"energy_ledger_residual_hex\":\"3ec0d3bb263f3333\",\"power_ledger_residual\":-1.3123566605372127e-6,\"power_ledger_residual_hex\":\"beb604876875f616\"},\"field_sha256\":\"3555d16b4a1ed0aa417efe3f7ded72c3cb4505c3ccd8d311d34a5b4f45d1a10f\",\"seal_parts\":{\"inputs\":\"c558e4d028b0f48580a27efb4035563a7d0a2e7f96c66be865b2113f897449ac\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"91273941f27baae5d21df5428d4c2e89b059cd1833d2f5bc8b0b2b56bcb193c3\",\"invariants\":\"583ae1a60642671c34c86252488d55e1ac49bd456890bf09ea16906c2c3a7de6\",\"field_sha256\":\"60ae2fe4b39330bd22a10dba24209f4c3e0bfa783eb4061811fa43ee56a82e8f\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"1fc40ace395bc589c57b87cadc64d64668ea692ed9dd35032e3672921fdf70f5\",\"receipt_sha256\":\"09d0000fb5de7663ffffd348555288a8ef460c3c816f6ad30906715c36b65604\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 5.855379637129727, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":5.855379637129727,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"BeamChangeTooRecent\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"8f508ffb03d19046f8f7db8ce48e193cb208d2fdb470266bea0a0667ae39d853\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"23c683add5c24deba84ac07dad766a5778ea93f386dafdd350dcf1a4833e550e\"},\"solution_seal\":\"423fb1a095d092600b1ae365e3fa71ed5647d1167924a93220ff7d09a523786b\",\"receipt_sha256\":\"a48d2196f35817b560f58f5f0eec74d058610e54c4f6e45008434a7e803bacda\"}", "outside_answer_is_error": false}
{"id": "edge-605c78d07d57", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.impurity_charge", "input_unit": "1", "whole_number_input": false, "base_value": 6.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 6.5, "inside_value_hex": "401a000000000000", "outside_value": 6.500000000000001, "outside_value_hex": "401a000000000001", "width": 8.881784197001252e-16, "adjacent_64_bit_numbers": true, "stop_name": "ImpurityChargeOutOfRange", "stop_sentence": "Physical Violation: impurity charge 6.500000000000001 is outside 5..=6.5 (ImpurityChargeOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "b662d0b5c1063f9d7e4156822bd146f9193a3da7c231b6d3c391376a4e593ce5", "outside_proof": null, "inside_receipt": "99760b9d360e400c5c293bfabb0a4fe99b00f6674e74859d271dcae83a04fed2", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:48:45Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.5, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.5,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.3378349377033563e17,\"beam_target_dt_rate_per_s_hex\":\"437db4b60f6fdd59\",\"beam_beam_dt_rate_per_s\":6.946306042373766e15,\"beam_beam_dt_rate_per_s_hex\":\"4338ada0e8282686\",\"dt_rate_per_s\":3.499337219747727e17,\"dt_rate_per_s_hex\":\"43936cdb76e4f24f\",\"dt_fusion_power_w\":9.861371925259979e5,\"dt_fusion_power_w_hex\":\"412e18326292c481\",\"dd_neutron_rate_per_s\":1.0028245002731211e15,\"dd_neutron_rate_per_s_hex\":\"430c808230e2ff09\",\"dd_fusion_power_w\":1.1311901240086468e3,\"dd_fusion_power_w_hex\":\"4091acc2afde3d4a\",\"neutron_rate_per_s\":3.509365464750458e17,\"neutron_rate_per_s_hex\":\"43937b1bb7fd63cf\",\"fast_ion_count\":1.1088655708091685e19,\"fast_ion_count_hex\":\"43e33c5a33b8ad33\",\"fast_ion_energy_j\":1.2067830211321451e5,\"fast_ion_energy_j_hex\":\"40fd7664d574aa80\",\"fast_ion_energy_time_s\":1.0580660223304741e-1,\"fast_ion_energy_time_s_hex\":\"3fbb1624384ab4aa\",\"beam_power_to_electrons_w\":1.483335716617105e5,\"beam_power_to_electrons_w_hex\":\"41021b6c92c35ff8\",\"beam_power_to_ions_w\":8.082567791102207e5,\"beam_power_to_ions_w_hex\":\"4128aa818ee788ec\",\"beam_power_thermalised_w\":1.8214258161150597e5,\"beam_power_thermalised_w_hex\":\"41063bf4a723eee9\",\"beam_target_fused_fraction\":1.977994829963478e-3,\"beam_target_fused_fraction_hex\":\"3f603427e3673893\",\"beam_beam_fused_fraction\":1.0228771334325444e-4,\"beam_beam_fused_fraction_hex\":\"3f1ad06988cc50b1\",\"fast_ion_fraction_max\":1.32017260918799e-1,\"fast_ion_fraction_max_hex\":\"3fc0e5f10d13adc6\",\"charge_excess_max\":1.4430580394059688e-2,\"charge_excess_max_hex\":\"3f8d8dc7b6d69999\",\"charge_excess_min\":2.5827556583915374e-3,\"charge_excess_min_hex\":\"3f65286e62c36256\",\"dt_rate_density_per_m3_s\":[1.6975644733754902e17,1.7487383905469664e17,4.928910492992313e16,4.907718039683646e15],\"dt_rate_density_per_m3_s_hex\":[\"4382d8c4b72f1867\",\"43836a36a40ae986\",\"4365e385c0d4a407\",\"43316f8b2669c23e\"]},\"invariants\":{\"particle_ledger_residual\":1.6805133673525319e-16,\"particle_ledger_residual_hex\":\"3ca8380000000000\",\"energy_ledger_residual\":1.928489001090661e-6,\"energy_ledger_residual_hex\":\"3ec02d660a55999a\",\"power_ledger_residual\":-1.2878111877782575e-6,\"power_ledger_residual_hex\":\"beb59b1b60166d6e\"},\"field_sha256\":\"a0fcff1ee8151ab14201eb4dba1850aca3cf80623465e9eec1eabb9c5c62aa8e\",\"seal_parts\":{\"inputs\":\"c471bd15bd5ca3ccd7f1541c338f14e6da93d6af05e224b34632fa1e2cf8fdbf\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e2c0675e5267c4ad22702dd74a6b0fc87c7bb9bc1c7b3334f97d9d33aedaabd4\",\"invariants\":\"33cc34dd649e5229a839e38ed3ff7e0a8a8108c8d3f27e4fa75a4c221e46b55d\",\"field_sha256\":\"ffee900349fd942bef251f6915884a274a29888bc327deaed3c0699c9e914592\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"b662d0b5c1063f9d7e4156822bd146f9193a3da7c231b6d3c391376a4e593ce5\",\"receipt_sha256\":\"99760b9d360e400c5c293bfabb0a4fe99b00f6674e74859d271dcae83a04fed2\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.500000000000001, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: impurity charge 6.500000000000001 is outside 5..=6.5 (ImpurityChargeOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-ed1cf100d629", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.impurity_mass_u", "input_unit": "u", "whole_number_input": false, "base_value": 12.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 10.0, "inside_value_hex": "4024000000000000", "outside_value": 9.999999999999998, "outside_value_hex": "4023ffffffffffff", "width": 1.7763568394002505e-15, "adjacent_64_bit_numbers": true, "stop_name": "ImpurityMassOutOfRange", "stop_sentence": "Physical Violation: impurity mass number 9.999999999999998 is outside 10..=13 (ImpurityMassOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "2609ea6866f9e42a1b8cab66d0c2b750b03a5431e009eda17eafd35a61683a83", "outside_proof": null, "inside_receipt": "1a8813d9abd5f8e06e206de32f8385898390b6c7208105792d83d1e3c72988a6", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:48:47Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 10.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":10.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.3314998545409576e17,\"beam_target_dt_rate_per_s_hex\":\"437d90b34d0d6fd9\",\"beam_beam_dt_rate_per_s\":6.878432104580616e15,\"beam_beam_dt_rate_per_s_hex\":\"43386fe5c6348608\",\"dt_rate_per_s\":3.4923233972073965e17,\"dt_rate_per_s_hex\":\"439362e3d9c4886d\",\"dt_fusion_power_w\":9.841606493023942e5,\"dt_fusion_power_w_hex\":\"412e08c14c715d09\",\"dd_neutron_rate_per_s\":1.0014608502170456e15,\"dd_neutron_rate_per_s_hex\":\"430c769631de82ad\",\"dd_fusion_power_w\":1.1296488386866286e3,\"dd_fusion_power_w_hex\":\"4091a698692b2dcc\",\"neutron_rate_per_s\":3.502338005709567e17,\"neutron_rate_per_s_hex\":\"4393711f24dd77ae\",\"fast_ion_count\":1.1029048644752255e19,\"fast_ion_count_hex\":\"43e321e1a9db1ec5\",\"fast_ion_energy_j\":1.2008202898770098e5,\"fast_ion_energy_j_hex\":\"40fd512076bbcebb\",\"fast_ion_energy_time_s\":1.0528381037810171e-1,\"fast_ion_energy_time_s_hex\":\"3fbaf3e13a5f494d\",\"beam_power_to_electrons_w\":1.4752345884840484e5,\"beam_power_to_electrons_w_hex\":\"4102021babb8b665\",\"beam_power_to_ions_w\":8.090734450714636e5,\"beam_power_to_ions_w_hex\":\"4128b0e2e3e06829\",\"beam_power_thermalised_w\":1.8214433414569806e5,\"beam_power_thermalised_w_hex\":\"41063c02ac54946a\",\"beam_target_fused_fraction\":1.968627185073127e-3,\"beam_target_fused_fraction_hex\":\"3f602082ac17cd87\",\"beam_beam_fused_fraction\":1.0128823680851613e-4,\"beam_beam_fused_fraction_hex\":\"3f1a8d56a882f642\",\"fast_ion_fraction_max\":1.3146850698909002e-1,\"fast_ion_fraction_max_hex\":\"3fc0d3f5c4fc6d6a\",\"charge_excess_max\":3.935612494725339e-3,\"charge_excess_max_hex\":\"3f701ec9ef45efb4\",\"charge_excess_min\":-1.9286403848487184e-2,\"charge_excess_min_hex\":\"bf93bfd0a72594f2\",\"dt_rate_density_per_m3_s\":[1.6942474839111306e17,1.7470244987080544e17,4.910957239857103e16,4.886035228962341e15],\"dt_rate_density_per_m3_s_hex\":[\"4382cf5749c0190b\",\"438365579ecf84ce\",\"4365cf1cab3c6bc3\",\"43315bd2ba2eae25\"]},\"invariants\":{\"particle_ledger_residual\":2.697495005143935e-16,\"particle_ledger_residual_hex\":\"3cb3700000000000\",\"energy_ledger_residual\":1.9181669120849065e-6,\"energy_ledger_residual_hex\":\"3ec0173b69740000\",\"power_ledger_residual\":-1.280123314670186e-6,\"power_ledger_residual_hex\":\"beb57a16782efdae\"},\"field_sha256\":\"9a87e770c395954280f34f3d90263b6e56ba8f0d1e70f363c4cfdde06e25ca80\",\"seal_parts\":{\"inputs\":\"70410eb30bd9d7c656b25eb3ba96b221c78dedeb0dae4719cb8ea8599514ec7f\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"4ef3fc9d08f07587644a28acc1c0dcfadd6fea34d40577daae82c693ba5bf466\",\"invariants\":\"532d319e3d2be2aaa7bef2c04b8ff5997c04df0265e0221cf09bcac6fc1470f6\",\"field_sha256\":\"db1c266a486da01bcd8e933b5ba3fb5f26d0a2098d53b74238372cc2ebd2ac1f\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"2609ea6866f9e42a1b8cab66d0c2b750b03a5431e009eda17eafd35a61683a83\",\"receipt_sha256\":\"1a8813d9abd5f8e06e206de32f8385898390b6c7208105792d83d1e3c72988a6\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 9.999999999999998, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: impurity mass number 9.999999999999998 is outside 10..=13 (ImpurityMassOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-bd65a74e967d", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.impurity_mass_u", "input_unit": "u", "whole_number_input": false, "base_value": 12.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 12.592222102947071, "inside_value_hex": "40292f37bc484085", "outside_value": 12.592222102947073, "outside_value_hex": "40292f37bc484086", "width": 1.7763568394002505e-15, "adjacent_64_bit_numbers": true, "stop_name": "BeamChangeTooRecent", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "06a15e36ce6c3ce97372b780c3b590c816a6de93dd583018af0b2f4b17d31ec4", "outside_proof": "bbd2b06c5de20d45e88203bd863c916c7906f320950023c964da9a9569d2aba8", "inside_receipt": "c8c7675e3c7b054a1854eedd823ca5e55feb9d5058c7d0c2eba3f2efa1dbe6de", "outside_receipt": "bedef48459ad136579d6a4684db3466237324012368c206432c1f15e8b8c51a3", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:48:49Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.592222102947071, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.592222102947071,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.389772607864513e17,\"beam_target_dt_rate_per_s_hex\":\"437edbf151508836\",\"beam_beam_dt_rate_per_s\":7.54006434179468e15,\"beam_beam_dt_rate_per_s_hex\":\"433ac9a608ad1f78\",\"dt_rate_per_s\":3.5572124729030925e17,\"dt_rate_per_s_hex\":\"4393bf1a5bdf30ea\",\"dt_fusion_power_w\":1.0024468352038414e6,\"dt_fusion_power_w_hex\":\"412e979dab9fd681\",\"dd_neutron_rate_per_s\":1.0135071061503712e15,\"dd_neutron_rate_per_s_hex\":\"430cce3c1850bf1a\",\"dd_fusion_power_w\":1.1432657534845628e3,\"dd_fusion_power_w_hex\":\"4091dd1021ae73fb\",\"neutron_rate_per_s\":3.5673475439645965e17,\"neutron_rate_per_s_hex\":\"4393cd8179eb594a\",\"fast_ion_count\":1.1599721393564674e19,\"fast_ion_count_hex\":\"43e41f4fa4c89d7d\",\"fast_ion_energy_j\":1.2552953833e5,\"fast_ion_energy_j_hex\":\"40fea5989cffeb07\",\"fast_ion_energy_time_s\":1.1005999999999999e-1,\"fast_ion_energy_time_s_hex\":\"3fbc2ce4649906cc\",\"beam_power_to_electrons_w\":1.547681528761017e5,\"beam_power_to_electrons_w_hex\":\"4102e48139171b09\",\"beam_power_to_ions_w\":8.017705791795964e5,\"beam_power_to_ions_w_hex\":\"412877d5288a3a62\",\"beam_power_thermalised_w\":1.821279087119039e5,\"beam_power_thermalised_w_hex\":\"41063b7f450abf26\",\"beam_target_fused_fraction\":2.0547805540285283e-3,\"beam_target_fused_fraction_hex\":\"3f60d52fe8f5d60b\",\"beam_beam_fused_fraction\":1.1103109124164459e-4,\"beam_beam_fused_fraction_hex\":\"3f1d1b2b9f759a3f\",\"fast_ion_fraction_max\":1.3716147549356247e-1,\"fast_ion_fraction_max_hex\":\"3fc18e81d9c20adb\",\"charge_excess_max\":9.628580999197901e-3,\"charge_excess_max_hex\":\"3f83b82643fccf27\",\"charge_excess_min\":-1.852087853691108e-2,\"charge_excess_min_hex\":\"bf92f7231e6fd7bd\",\"dt_rate_density_per_m3_s\":[1.7269841530867904e17,1.7637035913050704e17,5.071895290912949e16,5.078959437600001e15],\"dt_rate_density_per_m3_s_hex\":[\"43832c62598df93c\",\"438394bf41e70e39\",\"43668613ce70e8e2\",\"43320b49651b5501\"]},\"invariants\":{\"particle_ledger_residual\":4.109126233720062e-16,\"particle_ledger_residual_hex\":\"3cbd9c0000000000\",\"energy_ledger_residual\":2.0060450386383266e-6,\"energy_ledger_residual_hex\":\"3ec0d3f2ec440000\",\"power_ledger_residual\":-1.3130701353173228e-6,\"power_ledger_residual_hex\":\"beb60797e1c205d3\"},\"field_sha256\":\"bd56ff8ad7fe836dc570d70d2b544d9e8cc8eca0ee89b38559903e669d8bd789\",\"seal_parts\":{\"inputs\":\"3e01be90e41a00847b9affeca0064234a9ad5a1568490b74ca885d9a55fef507\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"490ea06237648bbcc7eb3cad313e6c9c373a91f06ba44b5a0939e2e7442cdbeb\",\"invariants\":\"d6c5a9bb2a81db272d9a235ff04d1d9a3a0c35154fe1006b788803ebfa8edcac\",\"field_sha256\":\"6c49611e9a8935c422c2e3b29b9e893121e88b8046433b8ef914f935637ab793\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"06a15e36ce6c3ce97372b780c3b590c816a6de93dd583018af0b2f4b17d31ec4\",\"receipt_sha256\":\"c8c7675e3c7b054a1854eedd823ca5e55feb9d5058c7d0c2eba3f2efa1dbe6de\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.592222102947073, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.592222102947073,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"BeamChangeTooRecent\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"ac8cbca16d01812c3238d38d212c574be3772151c915a3f62eac29f3d758d687\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"23c683add5c24deba84ac07dad766a5778ea93f386dafdd350dcf1a4833e550e\"},\"solution_seal\":\"bbd2b06c5de20d45e88203bd863c916c7906f320950023c964da9a9569d2aba8\",\"receipt_sha256\":\"bedef48459ad136579d6a4684db3466237324012368c206432c1f15e8b8c51a3\"}", "outside_answer_is_error": false}
{"id": "edge-7d9fad559f84", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.beam_power_w[0]", "input_unit": "W", "whole_number_input": false, "base_value": 77277.5, "edge_kind": "declared_limit", "direction": "up", "inside_value": 102859.19782372263, "inside_value_hex": "40f91cb32a493531", "outside_value": 102859.19782372264, "outside_value_hex": "40f91cb32a493532", "width": 1.4551915228366852e-11, "adjacent_64_bit_numbers": true, "stop_name": "BeamChangeTooRecent", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000003 s this solve finds: the fast ions have not settled, and the model is steady state.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "dc2bd668b90c851abf7b569ac69da5b3eb7a162782da61b9c11ee0b7fbf7b0d3", "outside_proof": "1937f9523ed46dcf604e6e7173495089585db3efd329bffe63938583e613b6d0", "inside_receipt": "1362335fd2a316e45d94a844a9731e50b91f1a88a064c65a323c12641996db27", "outside_receipt": "7f5b9604fed9ba2eeffb75b1a5cf634b93a6b86ad396aa416287147281b2d4ec", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:48:51Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [102859.19782372263, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[102859.19782372263,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.420738253748738e17,\"beam_target_dt_rate_per_s_hex\":\"437f8bf643559a8c\",\"beam_beam_dt_rate_per_s\":8.44374804104347e15,\"beam_beam_dt_rate_per_s_hex\":\"433dff8b4a8f2e0e\",\"dt_rate_per_s\":3.5972149557798054e17,\"dt_rate_per_s_hex\":\"4393f7f32d67fdba\",\"dt_fusion_power_w\":1.0137198088216726e6,\"dt_fusion_power_w_hex\":\"412eefaf9e1ddfd0\",\"dd_neutron_rate_per_s\":1.0220923771674978e15,\"dd_neutron_rate_per_s_hex\":\"430d0cb3688cb44e\",\"dd_fusion_power_w\":1.152866491272354e3,\"dd_fusion_power_w_hex\":\"40920377497cf41f\",\"neutron_rate_per_s\":3.60743587955148e17,\"neutron_rate_per_s_hex\":\"43940679871c4414\",\"fast_ion_count\":1.1824695981494518e19,\"fast_ion_count_hex\":\"43e483384b0c3f08\",\"fast_ion_energy_j\":1.2834505999247891e5,\"fast_ion_energy_j_hex\":\"40ff5590f5baac6f\",\"fast_ion_energy_time_s\":1.1006e-1,\"fast_ion_energy_time_s_hex\":\"3fbc2ce4649906cd\",\"beam_power_to_electrons_w\":1.5561383563693374e5,\"beam_power_to_electrons_w_hex\":\"4102feeeaf626aae\",\"beam_power_to_ions_w\":8.194338114473248e5,\"beam_power_to_ions_w_hex\":\"412901d39f760615\",\"beam_power_thermalised_w\":1.8915949627889515e5,\"beam_power_thermalised_w_hex\":\"4107173bf86111c3\",\"beam_target_fused_fraction\":2.0545401055865717e-3,\"beam_target_fused_fraction_hex\":\"3f60d4aed1fa62d9\",\"beam_beam_fused_fraction\":1.2161064620919936e-4,\"beam_beam_fused_fraction_hex\":\"3f1fe126fe460245\",\"fast_ion_fraction_max\":1.8105222751395325e-1,\"fast_ion_fraction_max_hex\":\"3fc72cb82a052b31\",\"charge_excess_max\":5.351933301958863e-2,\"charge_excess_max_hex\":\"3fab66e2d20bb51b\",\"charge_excess_min\":-1.8675557360200587e-2,\"charge_excess_min_hex\":\"bf931faf7062f3ec\",\"dt_rate_density_per_m3_s\":[2.006145308698398e17,1.760405019827982e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438645ced2ca3a3e\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.2956205798183898e-6,\"power_ledger_residual_hex\":\"beb5bca5e487bd04\"},\"field_sha256\":\"339f540a3d384ce4a00a3f955c4325134179d33bc1b7e03f6c9c0db2417eff06\",\"seal_parts\":{\"inputs\":\"591c3d319d6824600744ae964e1e516312762303f38ff95cc81c89f0cc435f21\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"da1d42098d7cb515d14b092d3cb0f9a301fb44a3e72ae2be0958baebf31e9403\",\"invariants\":\"71d4fc44466d570c23537cabaeb5a937d22a653cf1fe57236eff2ec4842170e1\",\"field_sha256\":\"e28dedee85690cd524a31f5b078cd2c2cebf22d55de78c59628b2453b803c9c3\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"dc2bd668b90c851abf7b569ac69da5b3eb7a162782da61b9c11ee0b7fbf7b0d3\",\"receipt_sha256\":\"1362335fd2a316e45d94a844a9731e50b91f1a88a064c65a323c12641996db27\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [102859.19782372264, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[102859.19782372264,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"BeamChangeTooRecent\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000003 s this solve finds: the fast ions have not settled, and the model is steady state.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"aa4ed5eaaa6591f6726557f577facd936efe2f8cd111170889091d94ae580ba1\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"23c683add5c24deba84ac07dad766a5778ea93f386dafdd350dcf1a4833e550e\"},\"solution_seal\":\"1937f9523ed46dcf604e6e7173495089585db3efd329bffe63938583e613b6d0\",\"receipt_sha256\":\"7f5b9604fed9ba2eeffb75b1a5cf634b93a6b86ad396aa416287147281b2d4ec\"}", "outside_answer_is_error": false}
{"id": "edge-f9c957d97406", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.beam_power_w[1]", "input_unit": "W", "whole_number_input": false, "base_value": 319378.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 372596.9315380504, "inside_value_hex": "4116bdd3b9e51c56", "outside_value": 372596.93153805047, "outside_value_hex": "4116bdd3b9e51c57", "width": 5.820766091346741e-11, "adjacent_64_bit_numbers": true, "stop_name": "BeamChangeTooRecent", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "4219597fcf7106ba3c91a6608124d2a85af73601b336853b19361efdc56e69cc", "outside_proof": "dfdead7d28502566ff5a0efe3439277f1c75b7160178da248b934ea6adfebc9e", "inside_receipt": "75d16a3d8e8c9c01c702937b56bf1a8426c25d7a94c3d6a2a70424c0ad7a5703", "outside_receipt": "3cb52876a092ce80792a39144c4014f976a747a77002e826eccb61d61bac1656", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:48:52Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 372596.9315380504, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,372596.9315380504,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.468271735581268e17,\"beam_target_dt_rate_per_s_hex\":\"43804d144a9a7446\",\"beam_beam_dt_rate_per_s\":8.416299967830622e15,\"beam_beam_dt_rate_per_s_hex\":\"433de69489e7da5e\",\"dt_rate_per_s\":3.644473956880207e17,\"dt_rate_per_s_hex\":\"43943b1be6dd33eb\",\"dt_fusion_power_w\":1.0270377189686955e6,\"dt_fusion_power_w_hex\":\"412f57bb701caa34\",\"dd_neutron_rate_per_s\":1.033979774729427e15,\"dd_neutron_rate_per_s_hex\":\"430d6331696be698\",\"dd_fusion_power_w\":1.1662187784328744e3,\"dd_fusion_power_w_hex\":\"409238e007741910\",\"neutron_rate_per_s\":3.654813754627501e17,\"neutron_rate_per_s_hex\":\"439449cd7f91e9de\",\"fast_ion_count\":1.2097982902878552e19,\"fast_ion_count_hex\":\"43e4fc956b461a68\",\"fast_ion_energy_j\":1.3138681393507784e5,\"fast_ion_energy_j_hex\":\"410009d682f064e3\",\"fast_ion_energy_time_s\":1.1005999999999999e-1,\"fast_ion_energy_time_s_hex\":\"3fbc2ce4649906cc\",\"beam_power_to_electrons_w\":1.5829633238263597e5,\"beam_power_to_electrons_w_hex\":\"410352c2a8b83a3a\",\"beam_power_to_ions_w\":8.374752134313313e5,\"beam_power_to_ions_w_hex\":\"41298ec66d46df18\",\"beam_power_thermalised_w\":1.9601018217893204e5,\"beam_power_thermalised_w_hex\":\"4107ed51751a3a59\",\"beam_target_fused_fraction\":2.074172504218329e-3,\"beam_target_fused_fraction_hex\":\"3f60fddae24cd797\",\"beam_beam_fused_fraction\":1.1840905428493464e-4,\"beam_beam_fused_fraction_hex\":\"3f1f0a4c1014bb2b\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-1.8675557360200587e-2,\"charge_excess_min_hex\":\"bf931faf7062f3ec\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.8482832157855178e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"4384852308a0f84f\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.2890292933023407e-6,\"power_ledger_residual_hex\":\"beb5a056b24fc6f7\"},\"field_sha256\":\"230cbda554921b69aba516fb7b7e0b73a24ae1786b767ac941f4a55fa809a81e\",\"seal_parts\":{\"inputs\":\"d401a78508d23566902e9b26b58fe81cda4790c5a05c3bc30f56c54caad02e54\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"ecf77782b30bdaa4fc224664eb636e3b6348cbaaebfa115db753f5c0e2400f18\",\"invariants\":\"56cd9a83f8de2c2902141f4ed96c63062ede861db7fc61f3f13bedf03de9656b\",\"field_sha256\":\"7173dadcac7118998aa5a1ad86e55803f954670ea5770f62a8d4526bb3c6dc72\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"4219597fcf7106ba3c91a6608124d2a85af73601b336853b19361efdc56e69cc\",\"receipt_sha256\":\"75d16a3d8e8c9c01c702937b56bf1a8426c25d7a94c3d6a2a70424c0ad7a5703\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 372596.93153805047, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,372596.93153805047,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"BeamChangeTooRecent\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"7a553e5b1adb972b798df24114b36b6c67288e57604e39019bac8a5afbac3cc2\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"23c683add5c24deba84ac07dad766a5778ea93f386dafdd350dcf1a4833e550e\"},\"solution_seal\":\"dfdead7d28502566ff5a0efe3439277f1c75b7160178da248b934ea6adfebc9e\",\"receipt_sha256\":\"3cb52876a092ce80792a39144c4014f976a747a77002e826eccb61d61bac1656\"}", "outside_answer_is_error": false}
{"id": "edge-65440d97094a", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.beam_power_w[2]", "input_unit": "W", "whole_number_input": false, "base_value": 593792.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 514341.05091153615, "inside_value_hex": "411f64943422275b", "outside_value": 514341.0509115361, "outside_value_hex": "411f64943422275a", "width": 5.820766091346741e-11, "adjacent_64_bit_numbers": true, "stop_name": "BeamChangeTooRecent", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "f2d85ad9e67caed7740c3cb58695dacbccc74020c0b45642f6b364f95131c19b", "outside_proof": "a2dd29bfdeff81fc90240b693ac110d7e18fe27a3b17fe950f92b39ea9c21ffb", "inside_receipt": "9bbada43cf81e0f04cccb3fed19271302aa70b48cc6d4c9dd7bd856b37c0189b", "outside_receipt": "dca091acb3462b76505fbd43091bfbc76b8de6714b7fb494c7d13feb88881a01", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:48:54Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 514341.05091153615, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,514341.05091153615,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.2962724174739282e17,\"beam_target_dt_rate_per_s_hex\":\"437cc874a2191293\",\"beam_beam_dt_rate_per_s\":6.62884261352915e15,\"beam_beam_dt_rate_per_s_hex\":\"43378ce5b1405a3e\",\"dt_rate_per_s\":3.454600065229853e17,\"dt_rate_per_s_hex\":\"43932d482eb3a06d\",\"dt_fusion_power_w\":9.735299560159259e5,\"dt_fusion_power_w_hex\":\"412db5b3e97aeb60\",\"dd_neutron_rate_per_s\":9.970893937872511e14,\"dd_neutron_rate_per_s_hex\":\"430c56c7b9020b99\",\"dd_fusion_power_w\":1.1246333602068553e3,\"dd_fusion_power_w_hex\":\"409192888f93fc20\",\"neutron_rate_per_s\":3.4645709591677254e17,\"neutron_rate_per_s_hex\":\"43933b7392902173\",\"fast_ion_count\":1.0761537955414686e19,\"fast_ion_count_hex\":\"43e2ab15381bac07\",\"fast_ion_energy_j\":1.1678516687332367e5,\"fast_ion_energy_j_hex\":\"40fc8312ab835cbc\",\"fast_ion_energy_time_s\":1.1005999999999999e-1,\"fast_ion_energy_time_s_hex\":\"3fbc2ce4649906cc\",\"beam_power_to_electrons_w\":1.4260684264825375e5,\"beam_power_to_electrons_w_hex\":\"41016876bdbe5e1f\",\"beam_power_to_ions_w\":7.43736875614974e5,\"beam_power_to_ions_w_hex\":\"4126b271c0509b1a\",\"beam_power_thermalised_w\":1.730016160906713e5,\"beam_power_thermalised_w_hex\":\"41051e4cedc0f225\",\"beam_target_fused_fraction\":2.0601353508975296e-3,\"beam_target_fused_fraction_hex\":\"3f60e06abea355cd\",\"beam_beam_fused_fraction\":1.04921746253674e-4,\"beam_beam_fused_fraction_hex\":\"3f1b812de00cc6e9\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-2.09503583285561e-2,\"charge_excess_min_hex\":\"bf957402bf7148e8\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,4.620598047049057e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"43648503058e26b9\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.2826058899790262e-6,\"power_ledger_residual_hex\":\"beb584c01702c391\"},\"field_sha256\":\"0f638638e895233a13d0ddac481c7e2d750e94f6bee4cb32a43bb5a670d07c72\",\"seal_parts\":{\"inputs\":\"6524e55ea29ed9c17b5e167425daca53e4c4e6abe9dfb838d0cd5b08ae4f2c50\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"ed639ba0851a556acc03dca732328b5f63a894a380689fdd78d19f9f71b22ee6\",\"invariants\":\"4d7bf0dd7f3e22f8089cecdab319d4342de9ad750f49946323cebe61d2b421a8\",\"field_sha256\":\"af5f993ee09795b9cd64008efcc50d7f827fb7241b11f50695f5c0664a464018\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"f2d85ad9e67caed7740c3cb58695dacbccc74020c0b45642f6b364f95131c19b\",\"receipt_sha256\":\"9bbada43cf81e0f04cccb3fed19271302aa70b48cc6d4c9dd7bd856b37c0189b\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 514341.0509115361, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,514341.0509115361,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"BeamChangeTooRecent\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"ea7313fe910110fcc8f739f4e729a16002283d27c2f05f9587d55a5960e93b8d\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"23c683add5c24deba84ac07dad766a5778ea93f386dafdd350dcf1a4833e550e\"},\"solution_seal\":\"a2dd29bfdeff81fc90240b693ac110d7e18fe27a3b17fe950f92b39ea9c21ffb\",\"receipt_sha256\":\"dca091acb3462b76505fbd43091bfbc76b8de6714b7fb494c7d13feb88881a01\"}", "outside_answer_is_error": false}
{"id": "edge-828430fbb72b", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.beam_power_w[2]", "input_unit": "W", "whole_number_input": false, "base_value": 593792.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 2192571.883547143, "inside_value_hex": "4140ba5df11812a2", "outside_value": 2192571.8835471435, "outside_value_hex": "4140ba5df11812a3", "width": 4.656612873077393e-10, "adjacent_64_bit_numbers": true, "stop_name": "IonChargeExceedsElectrons", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (IonChargeExceedsElectrons). in shell 2 the thermal ions and the fast ions this solve finds carry 0.12000000000000033 of the electron density more charge than the electrons, above the allowance of 0.12 (QUASI_NEUTRALITY_FAST_ION_ALLOWANCE), the largest excess on a slice compared: quasi-neutrality cannot hold.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "cb41f5f5c62d1d52ec67c91e2ef93a833d24551057b6b18b59604537bbfeba8a", "outside_proof": "63e833550e8280cd1911265baffe3978e9d9af6b95b56e37c45aa7ad93d3f9f8", "inside_receipt": "fc79df61fc0e8c215b2e192d1e1d7ad5aea7db8c0aac099a9463c31425492209", "outside_receipt": "168fe7f77fb1d8345d0e5a712dff6854a7048f8c4a10873b1f7d35613b71de48", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:48:56Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 2192571.883547143, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,2192571.883547143,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":3.026888215559567e17,\"beam_target_dt_rate_per_s_hex\":\"4390cd7784994c2f\",\"beam_beam_dt_rate_per_s\":4.669643668179366e16,\"beam_beam_dt_rate_per_s_hex\":\"4364bcc52d163c10\",\"dt_rate_per_s\":5.585891803998136e17,\"dt_rate_per_s_hex\":\"439f020799a46e10\",\"dt_fusion_power_w\":1.5741425634154282e6,\"dt_fusion_power_w_hex\":\"413804fe903bfe56\",\"dd_neutron_rate_per_s\":1.293471322984302e15,\"dd_neutron_rate_per_s_hex\":\"4312619f0aef3db8\",\"dd_fusion_power_w\":1.4612183543032077e3,\"dd_fusion_power_w_hex\":\"4096d4df98453cdf\",\"neutron_rate_per_s\":5.5988265172279795e17,\"neutron_rate_per_s_hex\":\"439f146938af5d4e\",\"fast_ion_count\":2.604820868140165e19,\"fast_ion_count_hex\":\"43f697dd3c952311\",\"fast_ion_energy_j\":2.786174094460064e5,\"fast_ion_energy_j_hex\":\"41110165a345d05c\",\"fast_ion_energy_time_s\":1.0170985674825511e-1,\"fast_ion_energy_time_s_hex\":\"3fba09a83c6a2344\",\"beam_power_to_electrons_w\":3.6905535761693004e5,\"beam_power_to_electrons_w_hex\":\"4116867d6e3321ec\",\"beam_power_to_ions_w\":2.00025025189105e6,\"beam_power_to_ions_w_hex\":\"413e857a407bee8e\",\"beam_power_thermalised_w\":3.6584374050373054e5,\"beam_power_thermalised_w_hex\":\"4116544ef6469c25\",\"beam_target_fused_fraction\":1.8626123241157638e-3,\"beam_target_fused_fraction_hex\":\"3f5e845cc119ddca\",\"beam_beam_fused_fraction\":2.8630208699984043e-4,\"beam_beam_fused_fraction_hex\":\"3f32c35a19b67e07\",\"fast_ion_fraction_max\":1.8414856087570752e-1,\"fast_ion_fraction_max_hex\":\"3fc7922e1748874c\",\"charge_excess_max\":1.2000000000000016e-1,\"charge_excess_max_hex\":\"3fbeb851eb851ec4\",\"charge_excess_min\":-1.8675557360200587e-2,\"charge_excess_min_hex\":\"bf931faf7062f3ec\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,1.4580696460326205e17,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"438030154b57a4a3\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.4984905189803827e-6,\"power_ledger_residual_hex\":\"beb923f7bfee5f53\"},\"field_sha256\":\"dc3d628062a671dc8961cef49c87ef169deed91f2e006518fd17b3756b2a7ce9\",\"seal_parts\":{\"inputs\":\"70e50f7c4ff59d7a695c5d40513ed19091953056da61e57d1fcaff0c8a058687\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"b32d7ee9326c9d7eb1989e06583ea68f0b3e1f19021498b0291719f41458430f\",\"invariants\":\"5adc825049a21ee7ef41f331466835afdf2f64503251b0c444f0f68a17a25818\",\"field_sha256\":\"58123943edfc01aea84ada5d22bfb1374b238fc2e5b2302da1b1cdf217ca0047\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"cb41f5f5c62d1d52ec67c91e2ef93a833d24551057b6b18b59604537bbfeba8a\",\"receipt_sha256\":\"fc79df61fc0e8c215b2e192d1e1d7ad5aea7db8c0aac099a9463c31425492209\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 2192571.8835471435, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,2192571.8835471435,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"IonChargeExceedsElectrons\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (IonChargeExceedsElectrons). in shell 2 the thermal ions and the fast ions this solve finds carry 0.12000000000000033 of the electron density more charge than the electrons, above the allowance of 0.12 (QUASI_NEUTRALITY_FAST_ION_ALLOWANCE), the largest excess on a slice compared: quasi-neutrality cannot hold.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"4ae93ab5c65b7437ca186e43611cba2144235a338fbda1d6f114f98fd3569d36\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"7c3a7b714043ee1678380f76aa801eb018c060cfab1df38ebfc52601c37a8ff1\"},\"solution_seal\":\"63e833550e8280cd1911265baffe3978e9d9af6b95b56e37c45aa7ad93d3f9f8\",\"receipt_sha256\":\"168fe7f77fb1d8345d0e5a712dff6854a7048f8c4a10873b1f7d35613b71de48\"}", "outside_answer_is_error": false}
{"id": "edge-fd2b418935d8", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.beam_power_w[3]", "input_unit": "W", "whole_number_input": false, "base_value": 150108.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 91203.52558336234, "inside_value_hex": "40f6443868ca1989", "outside_value": 91203.52558336232, "outside_value_hex": "40f6443868ca1988", "width": 1.4551915228366852e-11, "adjacent_64_bit_numbers": true, "stop_name": "BeamChangeTooRecent", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000003 s this solve finds: the fast ions have not settled, and the model is steady state.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "209885f0e5033a05b4f209638f133adf755459c7e0533fcaa95d189cd4573d91", "outside_proof": "b3eecbff163ff65b4d44a2ee30f59e8acf1e466eb08c4ee229638e25a000c09e", "inside_receipt": "cff9cc8be8e42a29080131428d06f7f7fd5c515055d0090427a750fdfa0bd705", "outside_receipt": "61d494763493e9277c40c2400030d89595579f51e5eb403f8031c5b74351d080", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:48:58Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 91203.52558336234], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,91203.52558336234],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.3401912128648574e17,\"beam_target_dt_rate_per_s_hex\":\"437dc21ae456416f\",\"beam_beam_dt_rate_per_s\":7.310867708466165e15,\"beam_beam_dt_rate_per_s_hex\":\"4339f93208c353f5\",\"dt_rate_per_s\":3.5053391115701523e17,\"dt_rate_per_s_hex\":\"43937562f0a0f80b\",\"dt_fusion_power_w\":9.878285667434385e5,\"dt_fusion_power_w_hex\":\"412e2569222c322b\",\"dd_neutron_rate_per_s\":1.006100258294311e15,\"dd_neutron_rate_per_s_hex\":\"430c9857c4085138\",\"dd_fusion_power_w\":1.1348338693369021e3,\"dd_fusion_power_w_hex\":\"4091bb55e1d7ec87\",\"neutron_rate_per_s\":3.515400114153096e17,\"neutron_rate_per_s_hex\":\"439383af1c82fc34\",\"fast_ion_count\":1.094610976599352e19,\"fast_ion_count_hex\":\"43e2fd0c9aca4f4b\",\"fast_ion_energy_j\":1.1904651187570488e5,\"fast_ion_energy_j_hex\":\"40fd106830a49441\",\"fast_ion_energy_time_s\":1.1006e-1,\"fast_ion_energy_time_s_hex\":\"3fbc2ce4649906cd\",\"beam_power_to_electrons_w\":1.390126311227502e5,\"beam_power_to_electrons_w_hex\":\"4100f8250c8a159f\",\"beam_power_to_ions_w\":7.623658710191372e5,\"beam_power_to_ions_w_hex\":\"412743fbbdf63869\",\"beam_power_thermalised_w\":1.7845128305393123e5,\"beam_power_thermalised_w_hex\":\"4105c89a43b1c78d\",\"beam_target_fused_fraction\":2.0894682106898745e-3,\"beam_target_fused_fraction_hex\":\"3f611deeb430b2d5\",\"beam_beam_fused_fraction\":1.1351878609568684e-4,\"beam_beam_fused_fraction_hex\":\"3f1dc21de5220586\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-2.3334658461442632e-2,\"charge_excess_min_hex\":\"bf97e50a6bd226b5\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,5.039772763669543e16,3.641803453781168e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"4329e066e268a960\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.315933546000499e-6,\"power_ledger_residual_hex\":\"beb613e43c36984d\"},\"field_sha256\":\"3891b5811dee5ad2a8a0640a854aa21028380d8a8235c7c9ad255ff8b6df85d2\",\"seal_parts\":{\"inputs\":\"80cce3ce09049779853544821de1f849765e684b68351c08b00629dd02e1060f\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"3b212eb7e3e8ede4c9ea8b3e62358187851ac12b80349d92473c1d8db5274afb\",\"invariants\":\"5ac462fc4b61bbd02b407ddaa0047eb69ab8d4dc66301b32a4bf63c37396361a\",\"field_sha256\":\"1189b62d31cc406b48bebcde71a6bdfd53e6236eebc5ac4b85a9ab12dac32fae\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"209885f0e5033a05b4f209638f133adf755459c7e0533fcaa95d189cd4573d91\",\"receipt_sha256\":\"cff9cc8be8e42a29080131428d06f7f7fd5c515055d0090427a750fdfa0bd705\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 91203.52558336232], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,91203.52558336232],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"BeamChangeTooRecent\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000003 s this solve finds: the fast ions have not settled, and the model is steady state.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"09987e0c020744f44dffce344f2727070b415e4f647a11b2492ddd64ce368211\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"23c683add5c24deba84ac07dad766a5778ea93f386dafdd350dcf1a4833e550e\"},\"solution_seal\":\"b3eecbff163ff65b4d44a2ee30f59e8acf1e466eb08c4ee229638e25a000c09e\",\"receipt_sha256\":\"61d494763493e9277c40c2400030d89595579f51e5eb403f8031c5b74351d080\"}", "outside_answer_is_error": false}
{"id": "edge-fd05822c23ea", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.beam_power_w[3]", "input_unit": "W", "whole_number_input": false, "base_value": 150108.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 1903366.9749038396, "inside_value_hex": "413d0b06f9934c4c", "outside_value": 1903366.9749038399, "outside_value_hex": "413d0b06f9934c4d", "width": 2.3283064365386963e-10, "adjacent_64_bit_numbers": true, "stop_name": "IonChargeExceedsElectrons", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (IonChargeExceedsElectrons). in shell 3 the thermal ions and the fast ions this solve finds carry 0.12000000000000033 of the electron density more charge than the electrons, above the allowance of 0.12 (QUASI_NEUTRALITY_FAST_ION_ALLOWANCE), the largest excess on a slice compared: quasi-neutrality cannot hold.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "b9748413f79a031bcdff740695422df6b4e5b12760fd7db2549dd93e3cf9f7cf", "outside_proof": "6c1c3518fd308301289adfe75342fe86d0300e49d0dab704ab8eac27dca9b9ea", "inside_receipt": "ccbd6338e9474f5cc38a2f1769df2bb045e15fcb3eb5f1e3b42f486a7cf19126", "outside_receipt": "f77fe137a4842aa213e6a0957159de89a24f3380262d96128cc272613b21b62e", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:49:00Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 1903366.9749038396], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,1903366.9749038396],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":2.509614432698009e17,\"beam_target_dt_rate_per_s_hex\":\"438bdcc0d2f3539e\",\"beam_beam_dt_rate_per_s\":3.1342047719317576e16,\"beam_beam_dt_rate_per_s_hex\":\"435bd65b4935f812\",\"dt_rate_per_s\":4.9150741315118176e17,\"dt_rate_per_s_hex\":\"439b48bd8d7563af\",\"dt_fusion_power_w\":1.385101549445882e6,\"dt_fusion_power_w_hex\":\"4135228d8ca87c3e\",\"dd_neutron_rate_per_s\":1.1605523654670105e15,\"dd_neutron_rate_per_s_hex\":\"43107e109df2960a\",\"dd_fusion_power_w\":1.3112410947869182e3,\"dd_fusion_power_w_hex\":\"40947cf6e18d4433\",\"neutron_rate_per_s\":4.9266796551664877e17,\"neutron_rate_per_s_hex\":\"439b593b9e135645\",\"fast_ion_count\":2.7532177965853876e19,\"fast_ion_count_hex\":\"43f7e15f1fcfb8ea\",\"fast_ion_energy_j\":2.8517854399483686e5,\"fast_ion_energy_j_hex\":\"411167ea2d0cfb86\",\"fast_ion_energy_time_s\":9.854762510451304e-2,\"fast_ion_energy_time_s_hex\":\"3fb93a6acaec1f44\",\"beam_power_to_electrons_w\":5.793981724988511e5,\"beam_power_to_electrons_w_hex\":\"4121ae8c5851c4f8\",\"beam_power_to_ions_w\":2.0193078500031624e6,\"beam_power_to_ions_w_hex\":\"413ecfebd999cea8\",\"beam_power_thermalised_w\":2.916607958304427e5,\"beam_power_thermalised_w_hex\":\"4111cd332eee2cf2\",\"beam_target_fused_fraction\":1.4614708166589942e-3,\"beam_target_fused_fraction_hex\":\"3f57f1da57249934\",\"beam_beam_fused_fraction\":1.8190417304814004e-4,\"beam_beam_fused_fraction_hex\":\"3f27d7b0f2d097bc\",\"fast_ion_fraction_max\":1.5054848136184007e-1,\"fast_ion_fraction_max_hex\":\"3fc3452c31f4ae48\",\"charge_excess_max\":1.200000000000002e-1,\"charge_excess_max_hex\":\"3fbeb851eb851ec7\",\"charge_excess_min\":-1.4277474285557187e-2,\"charge_excess_min_hex\":\"bf8d3d822901f198\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,5.039772763669543e16,5.425356769296008e16],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"436817eaa2c45e2a\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.2094645280447522e-6,\"power_ledger_residual_hex\":\"beb44a9c4fdd1f74\"},\"field_sha256\":\"84385f81826e033d28b7703168057826f472c9d37dd461f5442f146f60286d5c\",\"seal_parts\":{\"inputs\":\"e5920c75ae9a3e90e732e13ae9ea2886325ef610d8892b0de1c42d59fbf44d20\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"7bdad6946e271d871a5fa44ba7c42657f846666a28b25de79b9b726d051467e1\",\"invariants\":\"df6a82162d02e0b40ff1079010530063bd5f4f1724a750c6b7b7013d2f85ef89\",\"field_sha256\":\"83090011943931faada20367ab0ff0099edc566ae173f6d22ba0150a1f8ca724\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"b9748413f79a031bcdff740695422df6b4e5b12760fd7db2549dd93e3cf9f7cf\",\"receipt_sha256\":\"ccbd6338e9474f5cc38a2f1769df2bb045e15fcb3eb5f1e3b42f486a7cf19126\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 1903366.9749038399], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,1903366.9749038399],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"IonChargeExceedsElectrons\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (IonChargeExceedsElectrons). in shell 3 the thermal ions and the fast ions this solve finds carry 0.12000000000000033 of the electron density more charge than the electrons, above the allowance of 0.12 (QUASI_NEUTRALITY_FAST_ION_ALLOWANCE), the largest excess on a slice compared: quasi-neutrality cannot hold.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"9e7d50dc1639697cb6f7166e9350c0850d1229c2673c52ce0c195683e23b5904\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"7c3a7b714043ee1678380f76aa801eb018c060cfab1df38ebfc52601c37a8ff1\"},\"solution_seal\":\"6c1c3518fd308301289adfe75342fe86d0300e49d0dab704ab8eac27dca9b9ea\",\"receipt_sha256\":\"f77fe137a4842aa213e6a0957159de89a24f3380262d96128cc272613b21b62e\"}", "outside_answer_is_error": false}
{"id": "edge-58471960c1ac", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.beam_mass_number[0]", "input_unit": "u", "whole_number_input": false, "base_value": 2.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 2.0, "inside_value_hex": "4000000000000000", "outside_value": 1.9999999999999998, "outside_value_hex": "3fffffffffffffff", "width": 2.220446049250313e-16, "adjacent_64_bit_numbers": true, "stop_name": "BeamSpeciesUnknown", "stop_sentence": "Physical Violation: the mass number of beam component 0, 1.9999999999999998, is neither 2 (deuterium) nor 3 (tritium) (BeamSpeciesUnknown).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "0246ece2797a21872caa455a07753403c00f04d15dba6de1ae244fe9906c12b1", "outside_proof": null, "inside_receipt": "0c3ca8bb31b5193bd3c9f1548a1e1c68b7d73b155ada27dbd09d96a61dac1d55", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:49:02Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.3782033801231221e17,\"beam_target_dt_rate_per_s_hex\":\"437e9a2de020c529\",\"beam_beam_dt_rate_per_s\":7.40537268726995e15,\"beam_beam_dt_rate_per_s_hex\":\"433a4f25b074403e\",\"dt_rate_per_s\":3.5442963286164544e17,\"dt_rate_per_s_hex\":\"4393acbf7e325caa\",\"dt_fusion_power_w\":9.988069772921184e5,\"dt_fusion_power_w_hex\":\"412e7b2df45fa1ee\",\"dd_neutron_rate_per_s\":1.0111207326885836e15,\"dd_neutron_rate_per_s_hex\":\"430cbcdf20c6863d\",\"dd_fusion_power_w\":1.1405679960804512e3,\"dd_fusion_power_w_hex\":\"4091d245a0c3b72d\",\"neutron_rate_per_s\":3.55440753594334e17,\"neutron_rate_per_s_hex\":\"4393bb1dedc2bfed\",\"fast_ion_count\":1.148524084179004e19,\"fast_ion_count_hex\":\"43e3ec78b636d685\",\"fast_ion_energy_j\":1.2444664288453574e5,\"fast_ion_energy_j_hex\":\"40fe61ea49414b82\",\"fast_ion_energy_time_s\":1.0911055436104226e-1,\"fast_ion_energy_time_s_hex\":\"3fbbeeab56a10d23\",\"beam_power_to_electrons_w\":1.5332738781049429e5,\"beam_power_to_electrons_w_hex\":\"4102b77b1a3c6370\",\"beam_power_to_ions_w\":8.032228404453917e5,\"beam_power_to_ions_w_hex\":\"4128832dae4edbbf\",\"beam_power_thermalised_w\":1.8213116460742167e5,\"beam_power_thermalised_w_hex\":\"41063b99511db226\",\"beam_target_fused_fraction\":2.0376761701723974e-3,\"beam_target_fused_fraction_hex\":\"3f60b1511057e44c\",\"beam_beam_fused_fraction\":1.0904769153772856e-4,\"beam_beam_fused_fraction_hex\":\"3f1c9611134fbb56\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-1.8675557360200587e-2,\"charge_excess_min_hex\":\"bf931faf7062f3ec\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.3071528604798281e-6,\"power_ledger_residual_hex\":\"beb5ee2dc4f5f8c2\"},\"field_sha256\":\"02095df82ff324b8315e5bf4efeb6d52a7041f0f659a575174c4c7f5300f9126\",\"seal_parts\":{\"inputs\":\"dc8c688ca7250d0ddc91ffee504190fd3b79dfc711d5cefdb3a139ce2dd39dfc\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"dac2d9f04687cc437a7b247795abaa349cc5fef47b705678a5c65166e606ac81\",\"invariants\":\"30f1afff0f1315a06edfabde6213daaa5a1086f68f6d62a3c4540435f39b2c39\",\"field_sha256\":\"9676e98ae81304bdb39c76af66d7ae431e679e6ca2510b31a203f6d30db5a5b1\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"0246ece2797a21872caa455a07753403c00f04d15dba6de1ae244fe9906c12b1\",\"receipt_sha256\":\"0c3ca8bb31b5193bd3c9f1548a1e1c68b7d73b155ada27dbd09d96a61dac1d55\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [1.9999999999999998, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: the mass number of beam component 0, 1.9999999999999998, is neither 2 (deuterium) nor 3 (tritium) (BeamSpeciesUnknown).", "outside_answer_is_error": true}
{"id": "edge-5454026f7b8f", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.beam_mass_number[0]", "input_unit": "u", "whole_number_input": false, "base_value": 2.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 2.0, "inside_value_hex": "4000000000000000", "outside_value": 2.0000000000000004, "outside_value_hex": "4000000000000001", "width": 4.440892098500626e-16, "adjacent_64_bit_numbers": true, "stop_name": "BeamSpeciesUnknown", "stop_sentence": "Physical Violation: the mass number of beam component 0, 2.0000000000000004, is neither 2 (deuterium) nor 3 (tritium) (BeamSpeciesUnknown).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "0246ece2797a21872caa455a07753403c00f04d15dba6de1ae244fe9906c12b1", "outside_proof": null, "inside_receipt": "0c3ca8bb31b5193bd3c9f1548a1e1c68b7d73b155ada27dbd09d96a61dac1d55", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:49:02Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.3782033801231221e17,\"beam_target_dt_rate_per_s_hex\":\"437e9a2de020c529\",\"beam_beam_dt_rate_per_s\":7.40537268726995e15,\"beam_beam_dt_rate_per_s_hex\":\"433a4f25b074403e\",\"dt_rate_per_s\":3.5442963286164544e17,\"dt_rate_per_s_hex\":\"4393acbf7e325caa\",\"dt_fusion_power_w\":9.988069772921184e5,\"dt_fusion_power_w_hex\":\"412e7b2df45fa1ee\",\"dd_neutron_rate_per_s\":1.0111207326885836e15,\"dd_neutron_rate_per_s_hex\":\"430cbcdf20c6863d\",\"dd_fusion_power_w\":1.1405679960804512e3,\"dd_fusion_power_w_hex\":\"4091d245a0c3b72d\",\"neutron_rate_per_s\":3.55440753594334e17,\"neutron_rate_per_s_hex\":\"4393bb1dedc2bfed\",\"fast_ion_count\":1.148524084179004e19,\"fast_ion_count_hex\":\"43e3ec78b636d685\",\"fast_ion_energy_j\":1.2444664288453574e5,\"fast_ion_energy_j_hex\":\"40fe61ea49414b82\",\"fast_ion_energy_time_s\":1.0911055436104226e-1,\"fast_ion_energy_time_s_hex\":\"3fbbeeab56a10d23\",\"beam_power_to_electrons_w\":1.5332738781049429e5,\"beam_power_to_electrons_w_hex\":\"4102b77b1a3c6370\",\"beam_power_to_ions_w\":8.032228404453917e5,\"beam_power_to_ions_w_hex\":\"4128832dae4edbbf\",\"beam_power_thermalised_w\":1.8213116460742167e5,\"beam_power_thermalised_w_hex\":\"41063b99511db226\",\"beam_target_fused_fraction\":2.0376761701723974e-3,\"beam_target_fused_fraction_hex\":\"3f60b1511057e44c\",\"beam_beam_fused_fraction\":1.0904769153772856e-4,\"beam_beam_fused_fraction_hex\":\"3f1c9611134fbb56\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-1.8675557360200587e-2,\"charge_excess_min_hex\":\"bf931faf7062f3ec\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.3071528604798281e-6,\"power_ledger_residual_hex\":\"beb5ee2dc4f5f8c2\"},\"field_sha256\":\"02095df82ff324b8315e5bf4efeb6d52a7041f0f659a575174c4c7f5300f9126\",\"seal_parts\":{\"inputs\":\"dc8c688ca7250d0ddc91ffee504190fd3b79dfc711d5cefdb3a139ce2dd39dfc\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"dac2d9f04687cc437a7b247795abaa349cc5fef47b705678a5c65166e606ac81\",\"invariants\":\"30f1afff0f1315a06edfabde6213daaa5a1086f68f6d62a3c4540435f39b2c39\",\"field_sha256\":\"9676e98ae81304bdb39c76af66d7ae431e679e6ca2510b31a203f6d30db5a5b1\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"0246ece2797a21872caa455a07753403c00f04d15dba6de1ae244fe9906c12b1\",\"receipt_sha256\":\"0c3ca8bb31b5193bd3c9f1548a1e1c68b7d73b155ada27dbd09d96a61dac1d55\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0000000000000004, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: the mass number of beam component 0, 2.0000000000000004, is neither 2 (deuterium) nor 3 (tritium) (BeamSpeciesUnknown).", "outside_answer_is_error": true}
{"id": "edge-8d67a02df245", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.beam_mass_number[0]", "input_unit": "u", "whole_number_input": false, "base_value": 2.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 3.0, "inside_value_hex": "4008000000000000", "outside_value": 2.9999999999999996, "outside_value_hex": "4007ffffffffffff", "width": 4.440892098500626e-16, "adjacent_64_bit_numbers": true, "stop_name": "BeamSpeciesUnknown", "stop_sentence": "Physical Violation: the mass number of beam component 0, 2.9999999999999996, is neither 2 (deuterium) nor 3 (tritium) (BeamSpeciesUnknown).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "a9a0c2de61bbc5e79f2980278f08f0d2ba96e968d31a86bd82ebfc79cd743327", "outside_proof": null, "inside_receipt": "a5dc29dffb6f04a415f1f4115d9d8b441f0be6d4c7a03e0a215f027d2f864b11", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:49:05Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [3.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[3.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.2813080186804435e17,\"beam_target_dt_rate_per_s_hex\":\"437c736491221784\",\"beam_beam_dt_rate_per_s\":0.0e0,\"beam_beam_dt_rate_per_s_hex\":\"0000000000000000\",\"dt_rate_per_s\":3.3733472403010765e17,\"dt_rate_per_s_hex\":\"4392b9d093b0e040\",\"dt_fusion_power_w\":9.506323535191173e5,\"dt_fusion_power_w_hex\":\"412d02d0b500752f\",\"dd_neutron_rate_per_s\":7.231357976558611e14,\"dd_neutron_rate_per_s_hex\":\"43048d8162bfc9a9\",\"dd_fusion_power_w\":8.157777953473953e2,\"dd_fusion_power_w_hex\":\"40897e38ecc4605a\",\"neutron_rate_per_s\":3.380578598277635e17,\"neutron_rate_per_s_hex\":\"4392c41754624025\",\"fast_ion_count\":1.1454769988647094e19,\"fast_ion_count_hex\":\"43e3def093aba3b1\",\"fast_ion_energy_j\":1.2376519315597219e5,\"fast_ion_energy_j_hex\":\"40fe3753172ab779\",\"fast_ion_energy_time_s\":1.0851308257771952e-1,\"fast_ion_energy_time_s_hex\":\"3fbbc7836cdc0518\",\"beam_power_to_electrons_w\":1.3080916776467148e5,\"beam_power_to_electrons_w_hex\":\"40ffef92af2a0217\",\"beam_power_to_ions_w\":8.258394020697793e5,\"beam_power_to_ions_w_hex\":\"412933decddc1712\",\"beam_power_thermalised_w\":1.8214349206192835e5,\"beam_power_thermalised_w_hex\":\"41063bfbefbe2a0f\",\"beam_target_fused_fraction\":1.8867879779510923e-3,\"beam_target_fused_fraction_hex\":\"3f5ee9c32a39eeaf\",\"beam_beam_fused_fraction\":0.0e0,\"beam_beam_fused_fraction_hex\":\"0000000000000000\",\"fast_ion_fraction_max\":1.405166237139306e-1,\"fast_ion_fraction_max_hex\":\"3fc1fc72dfb2a550\",\"charge_excess_max\":1.298372921956599e-2,\"charge_excess_max_hex\":\"3f8a9736a3067668\",\"charge_excess_min\":-1.8981990612336977e-2,\"charge_excess_min_hex\":\"bf937003d39265c4\",\"dt_rate_density_per_m3_s\":[1.669292207930201e17,1.752934222701401e17,4.4599525489654936e16,4.003460314202936e15],\"dt_rate_density_per_m3_s_hex\":[\"43828869ef600176\",\"4383762382aefe76\",\"4363ce61073ec793\",\"432c72407bcd0670\"]},\"invariants\":{\"particle_ledger_residual\":2.0778734635684692e-16,\"particle_ledger_residual_hex\":\"3cadf20000000000\",\"energy_ledger_residual\":1.2812141300987928e-6,\"energy_ledger_residual_hex\":\"3eb57ec5d56e50d8\",\"power_ledger_residual\":-8.683776309563994e-7,\"power_ledger_residual_hex\":\"bead234e9ae625cd\"},\"field_sha256\":\"766ff982a5da8e774cdfba4af4e06947efb692d8afef2fca0e9905c33124b5ce\",\"seal_parts\":{\"inputs\":\"3003da581615bdae7f969e590f08cc49cc4cfd941a6745be94d0fba0273b9171\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"757c8c757de0894acb2d4a6afe22de5a052ea6ae62d36f28a089057179fac2c4\",\"invariants\":\"023b34be056fa973804ea951fbae23db0d338188b14869ef00eae232f9f2f539\",\"field_sha256\":\"4e1a0d75dbabfe22dc75f8775267a2f04eb703f825a731a1bec3a86e343b79ec\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"a9a0c2de61bbc5e79f2980278f08f0d2ba96e968d31a86bd82ebfc79cd743327\",\"receipt_sha256\":\"a5dc29dffb6f04a415f1f4115d9d8b441f0be6d4c7a03e0a215f027d2f864b11\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.9999999999999996, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: the mass number of beam component 0, 2.9999999999999996, is neither 2 (deuterium) nor 3 (tritium) (BeamSpeciesUnknown).", "outside_answer_is_error": true}
{"id": "edge-2be5a00384ee", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.beam_mass_number[0]", "input_unit": "u", "whole_number_input": false, "base_value": 2.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 3.0, "inside_value_hex": "4008000000000000", "outside_value": 3.0000000000000004, "outside_value_hex": "4008000000000001", "width": 4.440892098500626e-16, "adjacent_64_bit_numbers": true, "stop_name": "BeamSpeciesUnknown", "stop_sentence": "Physical Violation: the mass number of beam component 0, 3.0000000000000004, is neither 2 (deuterium) nor 3 (tritium) (BeamSpeciesUnknown).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "a9a0c2de61bbc5e79f2980278f08f0d2ba96e968d31a86bd82ebfc79cd743327", "outside_proof": null, "inside_receipt": "a5dc29dffb6f04a415f1f4115d9d8b441f0be6d4c7a03e0a215f027d2f864b11", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:49:05Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [3.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[3.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.2813080186804435e17,\"beam_target_dt_rate_per_s_hex\":\"437c736491221784\",\"beam_beam_dt_rate_per_s\":0.0e0,\"beam_beam_dt_rate_per_s_hex\":\"0000000000000000\",\"dt_rate_per_s\":3.3733472403010765e17,\"dt_rate_per_s_hex\":\"4392b9d093b0e040\",\"dt_fusion_power_w\":9.506323535191173e5,\"dt_fusion_power_w_hex\":\"412d02d0b500752f\",\"dd_neutron_rate_per_s\":7.231357976558611e14,\"dd_neutron_rate_per_s_hex\":\"43048d8162bfc9a9\",\"dd_fusion_power_w\":8.157777953473953e2,\"dd_fusion_power_w_hex\":\"40897e38ecc4605a\",\"neutron_rate_per_s\":3.380578598277635e17,\"neutron_rate_per_s_hex\":\"4392c41754624025\",\"fast_ion_count\":1.1454769988647094e19,\"fast_ion_count_hex\":\"43e3def093aba3b1\",\"fast_ion_energy_j\":1.2376519315597219e5,\"fast_ion_energy_j_hex\":\"40fe3753172ab779\",\"fast_ion_energy_time_s\":1.0851308257771952e-1,\"fast_ion_energy_time_s_hex\":\"3fbbc7836cdc0518\",\"beam_power_to_electrons_w\":1.3080916776467148e5,\"beam_power_to_electrons_w_hex\":\"40ffef92af2a0217\",\"beam_power_to_ions_w\":8.258394020697793e5,\"beam_power_to_ions_w_hex\":\"412933decddc1712\",\"beam_power_thermalised_w\":1.8214349206192835e5,\"beam_power_thermalised_w_hex\":\"41063bfbefbe2a0f\",\"beam_target_fused_fraction\":1.8867879779510923e-3,\"beam_target_fused_fraction_hex\":\"3f5ee9c32a39eeaf\",\"beam_beam_fused_fraction\":0.0e0,\"beam_beam_fused_fraction_hex\":\"0000000000000000\",\"fast_ion_fraction_max\":1.405166237139306e-1,\"fast_ion_fraction_max_hex\":\"3fc1fc72dfb2a550\",\"charge_excess_max\":1.298372921956599e-2,\"charge_excess_max_hex\":\"3f8a9736a3067668\",\"charge_excess_min\":-1.8981990612336977e-2,\"charge_excess_min_hex\":\"bf937003d39265c4\",\"dt_rate_density_per_m3_s\":[1.669292207930201e17,1.752934222701401e17,4.4599525489654936e16,4.003460314202936e15],\"dt_rate_density_per_m3_s_hex\":[\"43828869ef600176\",\"4383762382aefe76\",\"4363ce61073ec793\",\"432c72407bcd0670\"]},\"invariants\":{\"particle_ledger_residual\":2.0778734635684692e-16,\"particle_ledger_residual_hex\":\"3cadf20000000000\",\"energy_ledger_residual\":1.2812141300987928e-6,\"energy_ledger_residual_hex\":\"3eb57ec5d56e50d8\",\"power_ledger_residual\":-8.683776309563994e-7,\"power_ledger_residual_hex\":\"bead234e9ae625cd\"},\"field_sha256\":\"766ff982a5da8e774cdfba4af4e06947efb692d8afef2fca0e9905c33124b5ce\",\"seal_parts\":{\"inputs\":\"3003da581615bdae7f969e590f08cc49cc4cfd941a6745be94d0fba0273b9171\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"757c8c757de0894acb2d4a6afe22de5a052ea6ae62d36f28a089057179fac2c4\",\"invariants\":\"023b34be056fa973804ea951fbae23db0d338188b14869ef00eae232f9f2f539\",\"field_sha256\":\"4e1a0d75dbabfe22dc75f8775267a2f04eb703f825a731a1bec3a86e343b79ec\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"a9a0c2de61bbc5e79f2980278f08f0d2ba96e968d31a86bd82ebfc79cd743327\",\"receipt_sha256\":\"a5dc29dffb6f04a415f1f4115d9d8b441f0be6d4c7a03e0a215f027d2f864b11\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [3.0000000000000004, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: the mass number of beam component 0, 3.0000000000000004, is neither 2 (deuterium) nor 3 (tritium) (BeamSpeciesUnknown).", "outside_answer_is_error": true}
{"id": "edge-0e7645149670", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.beam_mass_number[1]", "input_unit": "u", "whole_number_input": false, "base_value": 3.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 2.0, "inside_value_hex": "4000000000000000", "outside_value": 1.9999999999999998, "outside_value_hex": "3fffffffffffffff", "width": 2.220446049250313e-16, "adjacent_64_bit_numbers": true, "stop_name": "BeamSpeciesUnknown", "stop_sentence": "Physical Violation: the mass number of beam component 1, 1.9999999999999998, is neither 2 (deuterium) nor 3 (tritium) (BeamSpeciesUnknown).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "501c34eb91a750867c80d60cd86e4d6e332d44700e37fa595e33ee93ae2c7faf", "outside_proof": null, "inside_receipt": "6946b7a7d2ff46c902015d32355c82d6dd0f4d93170cd12e44dad18c2582d514", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:49:07Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 2.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,2.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.5237887475797843e17,\"beam_target_dt_rate_per_s_hex\":\"4380eade3be9c8ca\",\"beam_beam_dt_rate_per_s\":0.0e0,\"beam_beam_dt_rate_per_s_hex\":\"0000000000000000\",\"dt_rate_per_s\":3.615827969200417e17,\"dt_rate_per_s_hex\":\"439412668d5d3ec4\",\"dt_fusion_power_w\":1.0189650834683883e6,\"dt_fusion_power_w_hex\":\"412f18aa2abc5e5c\",\"dd_neutron_rate_per_s\":1.7028035052049e15,\"dd_neutron_rate_per_s_hex\":\"431832c358333a90\",\"dd_fusion_power_w\":1.9107216944595066e3,\"dd_fusion_power_w_hex\":\"409ddae303df5524\",\"neutron_rate_per_s\":3.6328560042524666e17,\"neutron_rate_per_s_hex\":\"43942a9950b571ff\",\"fast_ion_count\":1.1501522388937234e19,\"fast_ion_count_hex\":\"43e3f3b3b59a19cb\",\"fast_ion_energy_j\":1.2456969307203405e5,\"fast_ion_energy_j_hex\":\"40fe699b16d2b380\",\"fast_ion_energy_time_s\":1.0921844055114727e-1,\"fast_ion_energy_time_s_hex\":\"3fbbf5bd5e498c58\",\"beam_power_to_electrons_w\":1.9734568783184685e5,\"beam_power_to_electrons_w_hex\":\"4108170d80adfbbb\",\"beam_power_to_ions_w\":7.589975660523827e5,\"beam_power_to_ions_w_hex\":\"412729ab21d19e2f\",\"beam_power_thermalised_w\":1.8210643405786282e5,\"beam_power_thermalised_w_hex\":\"41063ad378f3542b\",\"beam_target_fused_fraction\":2.271538407257513e-3,\"beam_target_fused_fraction_hex\":\"3f629bc2e5770569\",\"beam_beam_fused_fraction\":0.0e0,\"beam_beam_fused_fraction_hex\":\"0000000000000000\",\"fast_ion_fraction_max\":1.347335840031703e-1,\"fast_ion_fraction_max_hex\":\"3fc13ef3387bb5c9\",\"charge_excess_max\":7.200689508805588e-3,\"charge_excess_max_hex\":\"3f7d7e785f2efb7c\",\"charge_excess_min\":-1.8819812577866343e-2,\"charge_excess_min_hex\":\"bf9345803e27b75c\",\"dt_rate_density_per_m3_s\":[1.6356545931417408e17,1.7231063862208966e17,5.466798226864504e16,6.418424586433714e15],\"dt_rate_density_per_m3_s_hex\":[\"438228cf595f8f44\",\"4383215ce730b90e\",\"43684707aff6b7d6\",\"4336cd85ed7df4b2\"]},\"invariants\":{\"particle_ledger_residual\":9.627715291671279e-17,\"particle_ledger_residual_hex\":\"3c9bc00000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.3513929793274785e-6,\"power_ledger_residual_hex\":\"beb6ac304b6215dc\"},\"field_sha256\":\"b253d0674ad052502f34210787bd7f321e6c8ca801a12bcf10221bcf45067f40\",\"seal_parts\":{\"inputs\":\"dde2d4aad2384de4f6de8322508b1d43ceba91f0e558d4ef9ce8226012d3b265\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"bc7afad335f1bcfc08478d05f932136b0306313ac200f2dada89ff2dc86206ac\",\"invariants\":\"e284ce05ca823cd4cdfbffa0d0f46e7059c72e59416717c965d674f1e35710a4\",\"field_sha256\":\"d1641873ddfe6ca0d7cad21fc7d73e18cbc20c4a92db2e1622a0d00f1ef4e914\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"501c34eb91a750867c80d60cd86e4d6e332d44700e37fa595e33ee93ae2c7faf\",\"receipt_sha256\":\"6946b7a7d2ff46c902015d32355c82d6dd0f4d93170cd12e44dad18c2582d514\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 1.9999999999999998], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: the mass number of beam component 1, 1.9999999999999998, is neither 2 (deuterium) nor 3 (tritium) (BeamSpeciesUnknown).", "outside_answer_is_error": true}
{"id": "edge-9f85585b22b2", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.beam_mass_number[1]", "input_unit": "u", "whole_number_input": false, "base_value": 3.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 2.0, "inside_value_hex": "4000000000000000", "outside_value": 2.0000000000000004, "outside_value_hex": "4000000000000001", "width": 4.440892098500626e-16, "adjacent_64_bit_numbers": true, "stop_name": "BeamSpeciesUnknown", "stop_sentence": "Physical Violation: the mass number of beam component 1, 2.0000000000000004, is neither 2 (deuterium) nor 3 (tritium) (BeamSpeciesUnknown).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "501c34eb91a750867c80d60cd86e4d6e332d44700e37fa595e33ee93ae2c7faf", "outside_proof": null, "inside_receipt": "6946b7a7d2ff46c902015d32355c82d6dd0f4d93170cd12e44dad18c2582d514", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:49:07Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 2.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,2.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.5237887475797843e17,\"beam_target_dt_rate_per_s_hex\":\"4380eade3be9c8ca\",\"beam_beam_dt_rate_per_s\":0.0e0,\"beam_beam_dt_rate_per_s_hex\":\"0000000000000000\",\"dt_rate_per_s\":3.615827969200417e17,\"dt_rate_per_s_hex\":\"439412668d5d3ec4\",\"dt_fusion_power_w\":1.0189650834683883e6,\"dt_fusion_power_w_hex\":\"412f18aa2abc5e5c\",\"dd_neutron_rate_per_s\":1.7028035052049e15,\"dd_neutron_rate_per_s_hex\":\"431832c358333a90\",\"dd_fusion_power_w\":1.9107216944595066e3,\"dd_fusion_power_w_hex\":\"409ddae303df5524\",\"neutron_rate_per_s\":3.6328560042524666e17,\"neutron_rate_per_s_hex\":\"43942a9950b571ff\",\"fast_ion_count\":1.1501522388937234e19,\"fast_ion_count_hex\":\"43e3f3b3b59a19cb\",\"fast_ion_energy_j\":1.2456969307203405e5,\"fast_ion_energy_j_hex\":\"40fe699b16d2b380\",\"fast_ion_energy_time_s\":1.0921844055114727e-1,\"fast_ion_energy_time_s_hex\":\"3fbbf5bd5e498c58\",\"beam_power_to_electrons_w\":1.9734568783184685e5,\"beam_power_to_electrons_w_hex\":\"4108170d80adfbbb\",\"beam_power_to_ions_w\":7.589975660523827e5,\"beam_power_to_ions_w_hex\":\"412729ab21d19e2f\",\"beam_power_thermalised_w\":1.8210643405786282e5,\"beam_power_thermalised_w_hex\":\"41063ad378f3542b\",\"beam_target_fused_fraction\":2.271538407257513e-3,\"beam_target_fused_fraction_hex\":\"3f629bc2e5770569\",\"beam_beam_fused_fraction\":0.0e0,\"beam_beam_fused_fraction_hex\":\"0000000000000000\",\"fast_ion_fraction_max\":1.347335840031703e-1,\"fast_ion_fraction_max_hex\":\"3fc13ef3387bb5c9\",\"charge_excess_max\":7.200689508805588e-3,\"charge_excess_max_hex\":\"3f7d7e785f2efb7c\",\"charge_excess_min\":-1.8819812577866343e-2,\"charge_excess_min_hex\":\"bf9345803e27b75c\",\"dt_rate_density_per_m3_s\":[1.6356545931417408e17,1.7231063862208966e17,5.466798226864504e16,6.418424586433714e15],\"dt_rate_density_per_m3_s_hex\":[\"438228cf595f8f44\",\"4383215ce730b90e\",\"43684707aff6b7d6\",\"4336cd85ed7df4b2\"]},\"invariants\":{\"particle_ledger_residual\":9.627715291671279e-17,\"particle_ledger_residual_hex\":\"3c9bc00000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.3513929793274785e-6,\"power_ledger_residual_hex\":\"beb6ac304b6215dc\"},\"field_sha256\":\"b253d0674ad052502f34210787bd7f321e6c8ca801a12bcf10221bcf45067f40\",\"seal_parts\":{\"inputs\":\"dde2d4aad2384de4f6de8322508b1d43ceba91f0e558d4ef9ce8226012d3b265\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"bc7afad335f1bcfc08478d05f932136b0306313ac200f2dada89ff2dc86206ac\",\"invariants\":\"e284ce05ca823cd4cdfbffa0d0f46e7059c72e59416717c965d674f1e35710a4\",\"field_sha256\":\"d1641873ddfe6ca0d7cad21fc7d73e18cbc20c4a92db2e1622a0d00f1ef4e914\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"501c34eb91a750867c80d60cd86e4d6e332d44700e37fa595e33ee93ae2c7faf\",\"receipt_sha256\":\"6946b7a7d2ff46c902015d32355c82d6dd0f4d93170cd12e44dad18c2582d514\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 2.0000000000000004], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: the mass number of beam component 1, 2.0000000000000004, is neither 2 (deuterium) nor 3 (tritium) (BeamSpeciesUnknown).", "outside_answer_is_error": true}
{"id": "edge-1698db5b0030", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.beam_mass_number[1]", "input_unit": "u", "whole_number_input": false, "base_value": 3.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 3.0, "inside_value_hex": "4008000000000000", "outside_value": 2.9999999999999996, "outside_value_hex": "4007ffffffffffff", "width": 4.440892098500626e-16, "adjacent_64_bit_numbers": true, "stop_name": "BeamSpeciesUnknown", "stop_sentence": "Physical Violation: the mass number of beam component 1, 2.9999999999999996, is neither 2 (deuterium) nor 3 (tritium) (BeamSpeciesUnknown).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "0246ece2797a21872caa455a07753403c00f04d15dba6de1ae244fe9906c12b1", "outside_proof": null, "inside_receipt": "0c3ca8bb31b5193bd3c9f1548a1e1c68b7d73b155ada27dbd09d96a61dac1d55", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:49:02Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.3782033801231221e17,\"beam_target_dt_rate_per_s_hex\":\"437e9a2de020c529\",\"beam_beam_dt_rate_per_s\":7.40537268726995e15,\"beam_beam_dt_rate_per_s_hex\":\"433a4f25b074403e\",\"dt_rate_per_s\":3.5442963286164544e17,\"dt_rate_per_s_hex\":\"4393acbf7e325caa\",\"dt_fusion_power_w\":9.988069772921184e5,\"dt_fusion_power_w_hex\":\"412e7b2df45fa1ee\",\"dd_neutron_rate_per_s\":1.0111207326885836e15,\"dd_neutron_rate_per_s_hex\":\"430cbcdf20c6863d\",\"dd_fusion_power_w\":1.1405679960804512e3,\"dd_fusion_power_w_hex\":\"4091d245a0c3b72d\",\"neutron_rate_per_s\":3.55440753594334e17,\"neutron_rate_per_s_hex\":\"4393bb1dedc2bfed\",\"fast_ion_count\":1.148524084179004e19,\"fast_ion_count_hex\":\"43e3ec78b636d685\",\"fast_ion_energy_j\":1.2444664288453574e5,\"fast_ion_energy_j_hex\":\"40fe61ea49414b82\",\"fast_ion_energy_time_s\":1.0911055436104226e-1,\"fast_ion_energy_time_s_hex\":\"3fbbeeab56a10d23\",\"beam_power_to_electrons_w\":1.5332738781049429e5,\"beam_power_to_electrons_w_hex\":\"4102b77b1a3c6370\",\"beam_power_to_ions_w\":8.032228404453917e5,\"beam_power_to_ions_w_hex\":\"4128832dae4edbbf\",\"beam_power_thermalised_w\":1.8213116460742167e5,\"beam_power_thermalised_w_hex\":\"41063b99511db226\",\"beam_target_fused_fraction\":2.0376761701723974e-3,\"beam_target_fused_fraction_hex\":\"3f60b1511057e44c\",\"beam_beam_fused_fraction\":1.0904769153772856e-4,\"beam_beam_fused_fraction_hex\":\"3f1c9611134fbb56\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-1.8675557360200587e-2,\"charge_excess_min_hex\":\"bf931faf7062f3ec\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.3071528604798281e-6,\"power_ledger_residual_hex\":\"beb5ee2dc4f5f8c2\"},\"field_sha256\":\"02095df82ff324b8315e5bf4efeb6d52a7041f0f659a575174c4c7f5300f9126\",\"seal_parts\":{\"inputs\":\"dc8c688ca7250d0ddc91ffee504190fd3b79dfc711d5cefdb3a139ce2dd39dfc\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"dac2d9f04687cc437a7b247795abaa349cc5fef47b705678a5c65166e606ac81\",\"invariants\":\"30f1afff0f1315a06edfabde6213daaa5a1086f68f6d62a3c4540435f39b2c39\",\"field_sha256\":\"9676e98ae81304bdb39c76af66d7ae431e679e6ca2510b31a203f6d30db5a5b1\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"0246ece2797a21872caa455a07753403c00f04d15dba6de1ae244fe9906c12b1\",\"receipt_sha256\":\"0c3ca8bb31b5193bd3c9f1548a1e1c68b7d73b155ada27dbd09d96a61dac1d55\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 2.9999999999999996], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: the mass number of beam component 1, 2.9999999999999996, is neither 2 (deuterium) nor 3 (tritium) (BeamSpeciesUnknown).", "outside_answer_is_error": true}
{"id": "edge-830587dc991c", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.beam_mass_number[1]", "input_unit": "u", "whole_number_input": false, "base_value": 3.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 3.0, "inside_value_hex": "4008000000000000", "outside_value": 3.0000000000000004, "outside_value_hex": "4008000000000001", "width": 4.440892098500626e-16, "adjacent_64_bit_numbers": true, "stop_name": "BeamSpeciesUnknown", "stop_sentence": "Physical Violation: the mass number of beam component 1, 3.0000000000000004, is neither 2 (deuterium) nor 3 (tritium) (BeamSpeciesUnknown).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "0246ece2797a21872caa455a07753403c00f04d15dba6de1ae244fe9906c12b1", "outside_proof": null, "inside_receipt": "0c3ca8bb31b5193bd3c9f1548a1e1c68b7d73b155ada27dbd09d96a61dac1d55", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:49:02Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.3782033801231221e17,\"beam_target_dt_rate_per_s_hex\":\"437e9a2de020c529\",\"beam_beam_dt_rate_per_s\":7.40537268726995e15,\"beam_beam_dt_rate_per_s_hex\":\"433a4f25b074403e\",\"dt_rate_per_s\":3.5442963286164544e17,\"dt_rate_per_s_hex\":\"4393acbf7e325caa\",\"dt_fusion_power_w\":9.988069772921184e5,\"dt_fusion_power_w_hex\":\"412e7b2df45fa1ee\",\"dd_neutron_rate_per_s\":1.0111207326885836e15,\"dd_neutron_rate_per_s_hex\":\"430cbcdf20c6863d\",\"dd_fusion_power_w\":1.1405679960804512e3,\"dd_fusion_power_w_hex\":\"4091d245a0c3b72d\",\"neutron_rate_per_s\":3.55440753594334e17,\"neutron_rate_per_s_hex\":\"4393bb1dedc2bfed\",\"fast_ion_count\":1.148524084179004e19,\"fast_ion_count_hex\":\"43e3ec78b636d685\",\"fast_ion_energy_j\":1.2444664288453574e5,\"fast_ion_energy_j_hex\":\"40fe61ea49414b82\",\"fast_ion_energy_time_s\":1.0911055436104226e-1,\"fast_ion_energy_time_s_hex\":\"3fbbeeab56a10d23\",\"beam_power_to_electrons_w\":1.5332738781049429e5,\"beam_power_to_electrons_w_hex\":\"4102b77b1a3c6370\",\"beam_power_to_ions_w\":8.032228404453917e5,\"beam_power_to_ions_w_hex\":\"4128832dae4edbbf\",\"beam_power_thermalised_w\":1.8213116460742167e5,\"beam_power_thermalised_w_hex\":\"41063b99511db226\",\"beam_target_fused_fraction\":2.0376761701723974e-3,\"beam_target_fused_fraction_hex\":\"3f60b1511057e44c\",\"beam_beam_fused_fraction\":1.0904769153772856e-4,\"beam_beam_fused_fraction_hex\":\"3f1c9611134fbb56\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-1.8675557360200587e-2,\"charge_excess_min_hex\":\"bf931faf7062f3ec\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.3071528604798281e-6,\"power_ledger_residual_hex\":\"beb5ee2dc4f5f8c2\"},\"field_sha256\":\"02095df82ff324b8315e5bf4efeb6d52a7041f0f659a575174c4c7f5300f9126\",\"seal_parts\":{\"inputs\":\"dc8c688ca7250d0ddc91ffee504190fd3b79dfc711d5cefdb3a139ce2dd39dfc\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"dac2d9f04687cc437a7b247795abaa349cc5fef47b705678a5c65166e606ac81\",\"invariants\":\"30f1afff0f1315a06edfabde6213daaa5a1086f68f6d62a3c4540435f39b2c39\",\"field_sha256\":\"9676e98ae81304bdb39c76af66d7ae431e679e6ca2510b31a203f6d30db5a5b1\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"0246ece2797a21872caa455a07753403c00f04d15dba6de1ae244fe9906c12b1\",\"receipt_sha256\":\"0c3ca8bb31b5193bd3c9f1548a1e1c68b7d73b155ada27dbd09d96a61dac1d55\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0000000000000004], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: the mass number of beam component 1, 3.0000000000000004, is neither 2 (deuterium) nor 3 (tritium) (BeamSpeciesUnknown).", "outside_answer_is_error": true}
{"id": "edge-1b8db5a42efa", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.beam_energy_kev[0]", "input_unit": "keV", "whole_number_input": false, "base_value": 80.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 26.0, "inside_value_hex": "403a000000000000", "outside_value": 25.999999999999996, "outside_value_hex": "4039ffffffffffff", "width": 3.552713678800501e-15, "adjacent_64_bit_numbers": true, "stop_name": "BeamEnergyOutOfRange", "stop_sentence": "Physical Violation: the energy of beam component 0, 25.999999999999996 keV, is outside 26..=152 (BeamEnergyOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "98c9c862ae52a6289f0d02572080b939b1ef1465a97f5bbfb9886940cfcb29f3", "outside_proof": null, "inside_receipt": "490527d8b3bf602ac4c51cf0903778b5d10c7e0141a9f4bade87a62fe40a3363", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:49:12Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [26.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[26.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":8.703847192628168e16,\"beam_target_dt_rate_per_s_hex\":\"43735390770f575d\",\"beam_beam_dt_rate_per_s\":1.7156626365896288e15,\"beam_beam_dt_rate_per_s_hex\":\"4318618b580888f3\",\"dt_rate_per_s\":2.979580567249346e17,\"dt_rate_per_s_hex\":\"43908a3d188438bf\",\"dt_fusion_power_w\":8.396662084782202e5,\"dt_fusion_power_w_hex\":\"41299fe46abda843\",\"dd_neutron_rate_per_s\":7.395058891204281e14,\"dd_neutron_rate_per_s_hex\":\"4305049d0ea48561\",\"dd_fusion_power_w\":8.346482457459372e2,\"dd_fusion_power_w_hex\":\"408a152f9b773492\",\"neutron_rate_per_s\":2.9869756261405504e17,\"neutron_rate_per_s_hex\":\"439094bf670b8b02\",\"fast_ion_count\":8.146387233221767e18,\"fast_ion_count_hex\":\"43dc437201bdbd7c\",\"fast_ion_energy_j\":8.819587012825273e4,\"fast_ion_energy_j_hex\":\"40f5883dec0b9a4d\",\"fast_ion_energy_time_s\":7.732711834562433e-2,\"fast_ion_energy_time_s_hex\":\"3fb3cbb5c4636cc0\",\"beam_power_to_electrons_w\":9.784723614827139e4,\"beam_power_to_electrons_w_hex\":\"40f7e373c74368ea\",\"beam_power_to_ions_w\":6.236070799139709e5,\"beam_power_to_ions_w_hex\":\"412307ee28ea7be7\",\"beam_power_thermalised_w\":4.1772305870124925e5,\"beam_power_thermalised_w_hex\":\"41197eec3c1c2e27\",\"beam_target_fused_fraction\":5.431169046188593e-4,\"beam_target_fused_fraction_hex\":\"3f41cbfeabef60e5\",\"beam_beam_fused_fraction\":1.0701700517665405e-5,\"beam_beam_fused_fraction_hex\":\"3ee6716e84ff2d58\",\"fast_ion_fraction_max\":7.498324484024411e-2,\"fast_ion_fraction_max_hex\":\"3fb3321a18563921\",\"charge_excess_max\":-2.0260052947103705e-2,\"charge_excess_max_hex\":\"bf94bf0d234acab1\",\"charge_excess_min\":-5.25496496541206e-2,\"charge_excess_min_hex\":\"bfaae7c9a55c8575\",\"dt_rate_density_per_m3_s\":[1.3884994661155525e17,1.5608221017194605e17,3.9508994284323896e16,3.507083700001298e15],\"dt_rate_density_per_m3_s_hex\":[\"437ed4b4a70dd1bb\",\"4381541f8ba87422\",\"43618ba712380087\",\"4328eb591c45b424\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.2812141300987928e-6,\"energy_ledger_residual_hex\":\"3eb57ec5d56e50d8\",\"power_ledger_residual\":-6.368771673028343e-7,\"power_ledger_residual_hex\":\"bea55ebbb3ab10f8\"},\"field_sha256\":\"0972f3ac3bcdc994f07525e8f0537139de7f86223ad1f47cbd0b494a68eb78bc\",\"seal_parts\":{\"inputs\":\"286333aae79fabdea20f73b5c610164bb23b39d9e14fd23a4cc18db2431078cd\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"31cfe53282307265764019e889d2143442401db29c560a4c9cbe559475a70aa7\",\"invariants\":\"58c1e8bffa2ad51be65cfaa1b85d34299104d7881d0cb66b94c4563d3c062317\",\"field_sha256\":\"9259a0de262c8faf10d4cba4e40b43a5ff38a49c56b25a1dd8c53ebe3a1c7aa8\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"98c9c862ae52a6289f0d02572080b939b1ef1465a97f5bbfb9886940cfcb29f3\",\"receipt_sha256\":\"490527d8b3bf602ac4c51cf0903778b5d10c7e0141a9f4bade87a62fe40a3363\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [25.999999999999996, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: the energy of beam component 0, 25.999999999999996 keV, is outside 26..=152 (BeamEnergyOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-d2df9a6bcbdd", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.beam_energy_kev[0]", "input_unit": "keV", "whole_number_input": false, "base_value": 80.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 81.81487808269424, "inside_value_hex": "40547426f666d988", "outside_value": 81.81487808269425, "outside_value_hex": "40547426f666d989", "width": 1.4210854715202004e-14, "adjacent_64_bit_numbers": true, "stop_name": "BeamChangeTooRecent", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "e3be4b6bc45b89589d596fb1f6583fb832033aee405cc8790b332161edc2e23b", "outside_proof": "474ecb21583c26b443fdcc51f83a32ae9b837a3ceda2c12e13d7652a96cfa4a4", "inside_receipt": "990ad7de4bf1fb6f3b0458ab8cbbf305594afbe41827214a8751799e401957f6", "outside_receipt": "3653bf1e5c4ef572ad6f7c9a30f80a5e01d2549cc94af4c1f4daabe624c2200e", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:49:14Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [81.81487808269424, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[81.81487808269424,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.3949057214835949e17,\"beam_target_dt_rate_per_s_hex\":\"437ef91efb26b414\",\"beam_beam_dt_rate_per_s\":7.47444770921618e15,\"beam_beam_dt_rate_per_s_hex\":\"433a8df878999db4\",\"dt_rate_per_s\":3.56168942019639e17,\"dt_rate_per_s_hex\":\"4393c57710146ddb\",\"dt_fusion_power_w\":1.0037084696099182e6,\"dt_fusion_power_w_hex\":\"412ea178f070b611\",\"dd_neutron_rate_per_s\":1.0205659937382674e15,\"dd_neutron_rate_per_s_hex\":\"430d01984c3680db\",\"dd_fusion_power_w\":1.1511061037920244e3,\"dd_fusion_power_w_hex\":\"4091fc6ca678f2e8\",\"neutron_rate_per_s\":3.571895080133772e17,\"neutron_rate_per_s_hex\":\"4393d3f7dc3a891b\",\"fast_ion_count\":1.1520910363709506e19,\"fast_ion_count_hex\":\"43e3fc4fddeec0b0\",\"fast_ion_energy_j\":1.2552953833e5,\"fast_ion_energy_j_hex\":\"40fea5989cffeb07\",\"fast_ion_energy_time_s\":1.1005999999999999e-1,\"fast_ion_energy_time_s_hex\":\"3fbc2ce4649906cc\",\"beam_power_to_electrons_w\":1.552579307851755e5,\"beam_power_to_electrons_w_hex\":\"4102f3cf723f7f83\",\"beam_power_to_ions_w\":8.039238913977252e5,\"beam_power_to_ions_w_hex\":\"412888a7c865485b\",\"beam_power_thermalised_w\":1.7947335323771666e5,\"beam_power_thermalised_w_hex\":\"4105e88ad36e4bc6\",\"beam_target_fused_fraction\":2.0929556896066527e-3,\"beam_target_fused_fraction_hex\":\"3f61253f07a48ef6\",\"beam_beam_fused_fraction\":1.1168807533987409e-4,\"beam_beam_fused_fraction_hex\":\"3f1d4742861498a1\",\"fast_ion_fraction_max\":1.3662272976033182e-1,\"fast_ion_fraction_max_hex\":\"3fc17cda861afdd3\",\"charge_excess_max\":9.089835265967194e-3,\"charge_excess_max_hex\":\"3f829db1098bfe86\",\"charge_excess_min\":-1.8663600036858827e-2,\"charge_excess_min_hex\":\"bf931c8cff22bf59\",\"dt_rate_density_per_m3_s\":[1.7273731724292067e17,1.7648113873782365e17,5.082881112634636e16,5.107367170859053e15],\"dt_rate_density_per_m3_s_hex\":[\"43832d7d660dbef7\",\"438397e5490031fd\",\"4366929119f1524f\",\"4332251f95f4e02d\"]},\"invariants\":{\"particle_ledger_residual\":1.8669961410200386e-16,\"particle_ledger_residual_hex\":\"3caae80000000000\",\"energy_ledger_residual\":2.1027469406364176e-6,\"energy_ledger_residual_hex\":\"3ec1a39d5b126fdd\",\"power_ledger_residual\":-1.3580879132554891e-6,\"power_ledger_residual_hex\":\"beb6c8f173c12e44\"},\"field_sha256\":\"364569f046ae447dd28ecb2960fa2e6081bf3913fd29fbb5f11b696717bf4f00\",\"seal_parts\":{\"inputs\":\"3c8fab0abb16721bf898e16d961e75e0155d6b86a9a06a677023366b36034018\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"38e53eeec6a3871e57c2b378e67485e71ca99b3a01b438cc1f83f6a8a51a5f71\",\"invariants\":\"ccf6abeae4c34559a64a1c60780162a9aa450c946cac59a1a4fc3b8d221f801c\",\"field_sha256\":\"d5002f61e80c9d72eaa70429d2673b8f828207fd1605e511303ffdce5dc5df81\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"e3be4b6bc45b89589d596fb1f6583fb832033aee405cc8790b332161edc2e23b\",\"receipt_sha256\":\"990ad7de4bf1fb6f3b0458ab8cbbf305594afbe41827214a8751799e401957f6\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [81.81487808269425, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[81.81487808269425,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"BeamChangeTooRecent\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5503 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.11006000000000002 s this solve finds: the fast ions have not settled, and the model is steady state.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"b5b4fb480e9c15bbbfa86e0896a06a7208f8119fdf33ffb1b70d525166412153\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"23c683add5c24deba84ac07dad766a5778ea93f386dafdd350dcf1a4833e550e\"},\"solution_seal\":\"474ecb21583c26b443fdcc51f83a32ae9b837a3ceda2c12e13d7652a96cfa4a4\",\"receipt_sha256\":\"3653bf1e5c4ef572ad6f7c9a30f80a5e01d2549cc94af4c1f4daabe624c2200e\"}", "outside_answer_is_error": false}
{"id": "edge-46c00d926246", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.beam_energy_kev[1]", "input_unit": "keV", "whole_number_input": false, "base_value": 152.0, "edge_kind": "declared_limit", "direction": "down", "inside_value": 26.0, "inside_value_hex": "403a000000000000", "outside_value": 25.999999999999996, "outside_value_hex": "4039ffffffffffff", "width": 3.552713678800501e-15, "adjacent_64_bit_numbers": true, "stop_name": "BeamEnergyOutOfRange", "stop_sentence": "Physical Violation: the energy of beam component 1, 25.999999999999996 keV, is outside 26..=152 (BeamEnergyOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "c66170dd433954c6788734ba0916f1a93e2722b78e9b1e8d4da8f122fa605316", "outside_proof": null, "inside_receipt": "5164eb6cbd2830b1f4f91f1bb6b1b6beb9b85438cbe33df688dde146f4e8706c", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:49:16Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 26.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,26.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":5.65762104517533e16,\"beam_target_dt_rate_per_s_hex\":\"43691ff86fd6dd2a\",\"beam_beam_dt_rate_per_s\":1.2899134428656042e15,\"beam_beam_dt_rate_per_s_hex\":\"431254ad82364711\",\"dt_rate_per_s\":2.6707004605668218e17,\"dt_rate_per_s_hex\":\"438da69655cad896\",\"dt_fusion_power_w\":7.526216791564665e5,\"dt_fusion_power_w_hex\":\"4126f7db5bba6579\",\"dd_neutron_rate_per_s\":1.0111207326885836e15,\"dd_neutron_rate_per_s_hex\":\"430cbcdf20c6863d\",\"dd_fusion_power_w\":1.1405679960804512e3,\"dd_fusion_power_w_hex\":\"4091d245a0c3b72d\",\"neutron_rate_per_s\":2.6808116678937075e17,\"neutron_rate_per_s_hex\":\"438dc35334eb9f1c\",\"fast_ion_count\":7.503489055924132e18,\"fast_ion_count_hex\":\"43da086fe2a298e6\",\"fast_ion_energy_j\":4.8386449947746485e4,\"fast_ion_energy_j_hex\":\"40e7a04e65f8d102\",\"fast_ion_energy_time_s\":4.2423582147248846e-2,\"fast_ion_energy_time_s_hex\":\"3fa5b88b33cd9ef1\",\"beam_power_to_electrons_w\":6.749836527583175e4,\"beam_power_to_electrons_w_hex\":\"40f07aa5d82b7876\",\"beam_power_to_ions_w\":5.98063660587308e5,\"beam_power_to_ions_w_hex\":\"4122405f52387fe8\",\"beam_power_thermalised_w\":4.7447902170610236e5,\"beam_power_thermalised_w_hex\":\"411cf5bc163a1fdf\",\"beam_target_fused_fraction\":3.149717556585593e-4,\"beam_target_fused_fraction_hex\":\"3f34a45963c481e6\",\"beam_beam_fused_fraction\":7.1111854529323825e-6,\"beam_beam_fused_fraction_hex\":\"3eddd393c5eff480\",\"fast_ion_fraction_max\":6.104021059917493e-2,\"fast_ion_fraction_max_hex\":\"3faf40a99887609a\",\"charge_excess_max\":-2.0600551313808158e-2,\"charge_excess_max_hex\":\"bf95184f98b0834d\",\"charge_excess_min\":-6.649268389518967e-2,\"charge_excess_min_hex\":\"bfb105aa1ec0cb86\",\"dt_rate_density_per_m3_s\":[1.2134521471729141e17,1.4367054334860955e17,3.3597783183551304e16,3.2027156910986755e15],\"dt_rate_density_per_m3_s_hex\":[\"437af1ad4726aeb9\",\"437fe6b9914fb321\",\"435dd7405ef95ad2\",\"4326c1b4b62b4467\"]},\"invariants\":{\"particle_ledger_residual\":4.1845121660256945e-17,\"particle_ledger_residual_hex\":\"3c881f4000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-8.894033797254918e-7,\"power_ledger_residual_hex\":\"beadd7eab73070ec\"},\"field_sha256\":\"a167a0acfbd726db01a71f3656e73322bb8cad8b4d9f137fef78d7862838ad55\",\"seal_parts\":{\"inputs\":\"f41d90ecf14e9ca18206e93ca548836a82179ed1c03785f454b8d5bd26f31f28\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"fbb49c31651512d1138dffa62081b13e63908bd5f25ad85b64f8c67d33ed5e64\",\"invariants\":\"1117e4eb8604cf016fdf39fb88a27a56385bb48b66410da3be5d27ded608fb6e\",\"field_sha256\":\"c552f0d5732c905b72bc8c93107ec7bc992b44f01813b9694f2fea7cf3d65c3c\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"c66170dd433954c6788734ba0916f1a93e2722b78e9b1e8d4da8f122fa605316\",\"receipt_sha256\":\"5164eb6cbd2830b1f4f91f1bb6b1b6beb9b85438cbe33df688dde146f4e8706c\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 25.999999999999996], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: the energy of beam component 1, 25.999999999999996 keV, is outside 26..=152 (BeamEnergyOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-dd90707022ea", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.beam_energy_kev[1]", "input_unit": "keV", "whole_number_input": false, "base_value": 152.0, "edge_kind": "declared_limit", "direction": "up", "inside_value": 152.0, "inside_value_hex": "4063000000000000", "outside_value": 152.00000000000003, "outside_value_hex": "4063000000000001", "width": 2.842170943040401e-14, "adjacent_64_bit_numbers": true, "stop_name": "BeamEnergyOutOfRange", "stop_sentence": "Physical Violation: the energy of beam component 1, 152.00000000000003 keV, is outside 26..=152 (BeamEnergyOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "0246ece2797a21872caa455a07753403c00f04d15dba6de1ae244fe9906c12b1", "outside_proof": null, "inside_receipt": "0c3ca8bb31b5193bd3c9f1548a1e1c68b7d73b155ada27dbd09d96a61dac1d55", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:49:02Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.3782033801231221e17,\"beam_target_dt_rate_per_s_hex\":\"437e9a2de020c529\",\"beam_beam_dt_rate_per_s\":7.40537268726995e15,\"beam_beam_dt_rate_per_s_hex\":\"433a4f25b074403e\",\"dt_rate_per_s\":3.5442963286164544e17,\"dt_rate_per_s_hex\":\"4393acbf7e325caa\",\"dt_fusion_power_w\":9.988069772921184e5,\"dt_fusion_power_w_hex\":\"412e7b2df45fa1ee\",\"dd_neutron_rate_per_s\":1.0111207326885836e15,\"dd_neutron_rate_per_s_hex\":\"430cbcdf20c6863d\",\"dd_fusion_power_w\":1.1405679960804512e3,\"dd_fusion_power_w_hex\":\"4091d245a0c3b72d\",\"neutron_rate_per_s\":3.55440753594334e17,\"neutron_rate_per_s_hex\":\"4393bb1dedc2bfed\",\"fast_ion_count\":1.148524084179004e19,\"fast_ion_count_hex\":\"43e3ec78b636d685\",\"fast_ion_energy_j\":1.2444664288453574e5,\"fast_ion_energy_j_hex\":\"40fe61ea49414b82\",\"fast_ion_energy_time_s\":1.0911055436104226e-1,\"fast_ion_energy_time_s_hex\":\"3fbbeeab56a10d23\",\"beam_power_to_electrons_w\":1.5332738781049429e5,\"beam_power_to_electrons_w_hex\":\"4102b77b1a3c6370\",\"beam_power_to_ions_w\":8.032228404453917e5,\"beam_power_to_ions_w_hex\":\"4128832dae4edbbf\",\"beam_power_thermalised_w\":1.8213116460742167e5,\"beam_power_thermalised_w_hex\":\"41063b99511db226\",\"beam_target_fused_fraction\":2.0376761701723974e-3,\"beam_target_fused_fraction_hex\":\"3f60b1511057e44c\",\"beam_beam_fused_fraction\":1.0904769153772856e-4,\"beam_beam_fused_fraction_hex\":\"3f1c9611134fbb56\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-1.8675557360200587e-2,\"charge_excess_min_hex\":\"bf931faf7062f3ec\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.3071528604798281e-6,\"power_ledger_residual_hex\":\"beb5ee2dc4f5f8c2\"},\"field_sha256\":\"02095df82ff324b8315e5bf4efeb6d52a7041f0f659a575174c4c7f5300f9126\",\"seal_parts\":{\"inputs\":\"dc8c688ca7250d0ddc91ffee504190fd3b79dfc711d5cefdb3a139ce2dd39dfc\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"dac2d9f04687cc437a7b247795abaa349cc5fef47b705678a5c65166e606ac81\",\"invariants\":\"30f1afff0f1315a06edfabde6213daaa5a1086f68f6d62a3c4540435f39b2c39\",\"field_sha256\":\"9676e98ae81304bdb39c76af66d7ae431e679e6ca2510b31a203f6d30db5a5b1\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"0246ece2797a21872caa455a07753403c00f04d15dba6de1ae244fe9906c12b1\",\"receipt_sha256\":\"0c3ca8bb31b5193bd3c9f1548a1e1c68b7d73b155ada27dbd09d96a61dac1d55\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.00000000000003], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: the energy of beam component 1, 152.00000000000003 keV, is outside 26..=152 (BeamEnergyOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-7d31c50fe76f", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.beam_power_share[0]", "input_unit": "1", "whole_number_input": false, "base_value": 0.5, "edge_kind": "declared_limit", "direction": "down", "inside_value": 0.49999999900000003, "inside_value_hex": "3fdffffffeed1f42", "outside_value": 0.499999999, "outside_value_hex": "3fdffffffeed1f41", "width": 5.551115123125783e-17, "adjacent_64_bit_numbers": true, "stop_name": "BeamPowerShareOutOfRange", "stop_sentence": "Physical Violation: beam power share 0.9999999989999999: a share is not above 0, or the shares do not add to 1 within 0.000000001 (BeamPowerShareOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "17984ceefe9a40164a8123c088bdbd6e88cd333d32cafb52875b11b9256ac5e7", "outside_proof": null, "inside_receipt": "2472fa0f4bae78f55c79eb042baa3823c9f9c0d1b656f9e1e189b6d106e981c8", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:49:18Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.49999999900000003, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.49999999900000003,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.3782033790485434e17,\"beam_target_dt_rate_per_s_hex\":\"437e9a2ddfba4a54\",\"beam_beam_dt_rate_per_s\":7.405372672459205e15,\"beam_beam_dt_rate_per_s_hex\":\"433a4f25af9241c5\",\"dt_rate_per_s\":3.5442963273937683e17,\"dt_rate_per_s_hex\":\"4393acbf7e1535fb\",\"dt_fusion_power_w\":9.98806976947557e5,\"dt_fusion_power_w_hex\":\"412e7b2df432785e\",\"dd_neutron_rate_per_s\":1.0111207321126138e15,\"dd_neutron_rate_per_s_hex\":\"430cbcdf2080372e\",\"dd_fusion_power_w\":1.1405679954308707e3,\"dd_fusion_power_w_hex\":\"4091d245a0981f78\",\"neutron_rate_per_s\":3.554407534714895e17,\"neutron_rate_per_s_hex\":\"4393bb1deda57617\",\"fast_ion_count\":1.1485240830955665e19,\"fast_ion_count_hex\":\"43e3ec78b5e61d97\",\"fast_ion_energy_j\":1.2444664279987507e5,\"fast_ion_energy_j_hex\":\"40fe61ea48e88595\",\"fast_ion_energy_time_s\":1.091105542868147e-1,\"fast_ion_energy_time_s_hex\":\"3fbbeeab564f6fef\",\"beam_power_to_electrons_w\":1.533273876849193e5,\"beam_power_to_electrons_w_hex\":\"4102b77b19fa8d0c\",\"beam_power_to_ions_w\":8.032228396703093e5,\"beam_power_to_ions_w_hex\":\"4128832dade9444c\",\"beam_power_thermalised_w\":1.8213116436853466e5,\"beam_power_thermalised_w_hex\":\"41063b9950a07347\",\"beam_target_fused_fraction\":2.0376761712436768e-3,\"beam_target_fused_fraction_hex\":\"3f60b151107d9586\",\"beam_beam_fused_fraction\":1.0904769146252327e-4,\"beam_beam_fused_fraction_hex\":\"3f1c961112fb0ee3\",\"fast_ion_fraction_max\":1.3602345531733864e-1,\"fast_ion_fraction_max_hex\":\"3fc169377209d76d\",\"charge_excess_max\":8.490560822973963e-3,\"charge_excess_max_hex\":\"3f81637fc8799809\",\"charge_excess_min\":-1.867555737202407e-2,\"charge_excess_min_hex\":\"bf931faf7096f3fb\",\"dt_rate_density_per_m3_s\":[1.7204569433709747e17,1.7604050194288163e17,5.039772761091645e16,5.040430466632304e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e00c8f8\",\"43838b5f3b03186b\",\"4366618eeb7789cc\",\"4331e83eab7a8a70\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.3061528589117869e-6,\"power_ledger_residual_hex\":\"beb5e9e2418af1cb\"},\"field_sha256\":\"1b56829d4a47302223c89b30e632d2525b83a44ec5330e93c1e77806ddd38e75\",\"seal_parts\":{\"inputs\":\"e537cfc2df182d5ae06a0039492368aabe517395ca7ef0bace37fb26b6787252\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"0cca5a0cfa41bb23a4ec2f0aebd5fca056f1adf87fb6d0afc92207685cc02d28\",\"invariants\":\"02a285fd4ba56ecdc9cdd0abb11bc4d64a0eb977f3f1b0d0a369a318ee965149\",\"field_sha256\":\"afc4cc44f4848e3c9a59e6d479b79899d2f8db396e366ec41d754d33858fbbc4\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"17984ceefe9a40164a8123c088bdbd6e88cd333d32cafb52875b11b9256ac5e7\",\"receipt_sha256\":\"2472fa0f4bae78f55c79eb042baa3823c9f9c0d1b656f9e1e189b6d106e981c8\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.499999999, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: beam power share 0.9999999989999999: a share is not above 0, or the shares do not add to 1 within 0.000000001 (BeamPowerShareOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-ad32371d0f98", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.beam_power_share[0]", "input_unit": "1", "whole_number_input": false, "base_value": 0.5, "edge_kind": "declared_limit", "direction": "up", "inside_value": 0.5000000009999999, "inside_value_hex": "3fe000000089705e", "outside_value": 0.500000001, "outside_value_hex": "3fe000000089705f", "width": 1.1102230246251565e-16, "adjacent_64_bit_numbers": true, "stop_name": "BeamPowerShareOutOfRange", "stop_sentence": "Physical Violation: beam power share 1.000000001: a share is not above 0, or the shares do not add to 1 within 0.000000001 (BeamPowerShareOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "de6431b5ad557004a39c1d867d3923f78445ab15c7c5a32ee779cc37291de355", "outside_proof": null, "inside_receipt": "c9d758518ac580625c622131ebf03b3afef8a640e8156adb1b90ef56b7323111", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:49:20Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5000000009999999, 0.5], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5000000009999999,0.5],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.3782033811977006e17,\"beam_target_dt_rate_per_s_hex\":\"437e9a2de0873ffd\",\"beam_beam_dt_rate_per_s\":7.405372702080694e15,\"beam_beam_dt_rate_per_s_hex\":\"433a4f25b1563eb6\",\"dt_rate_per_s\":3.5442963298391405e17,\"dt_rate_per_s_hex\":\"4393acbf7e4f8359\",\"dt_fusion_power_w\":9.988069776366795e5,\"dt_fusion_power_w_hex\":\"412e7b2df48ccb7c\",\"dd_neutron_rate_per_s\":1.0111207332645534e15,\"dd_neutron_rate_per_s_hex\":\"430cbcdf210cd54b\",\"dd_fusion_power_w\":1.1405679967300314e3,\"dd_fusion_power_w_hex\":\"4091d245a0ef4ee1\",\"neutron_rate_per_s\":3.554407537171786e17,\"neutron_rate_per_s_hex\":\"4393bb1dede009c4\",\"fast_ion_count\":1.1485240852624415e19,\"fast_ion_count_hex\":\"43e3ec78b6878f73\",\"fast_ion_energy_j\":1.2444664296919641e5,\"fast_ion_energy_j_hex\":\"40fe61ea499a116f\",\"fast_ion_energy_time_s\":1.0911055443526985e-1,\"fast_ion_energy_time_s_hex\":\"3fbbeeab56f2aa58\",\"beam_power_to_electrons_w\":1.5332738793606925e5,\"beam_power_to_electrons_w_hex\":\"4102b77b1a7e39d3\",\"beam_power_to_ions_w\":8.03222841220474e5,\"beam_power_to_ions_w_hex\":\"4128832daeb47331\",\"beam_power_thermalised_w\":1.8213116484630865e5,\"beam_power_thermalised_w_hex\":\"41063b99519af104\",\"beam_target_fused_fraction\":2.0376761691011185e-3,\"beam_target_fused_fraction_hex\":\"3f60b15110323313\",\"beam_beam_fused_fraction\":1.0904769161293386e-4,\"beam_beam_fused_fraction_hex\":\"3f1c961113a467ca\",\"fast_ion_fraction_max\":1.3602345556149945e-1,\"fast_ion_fraction_max_hex\":\"3fc1693772901201\",\"charge_excess_max\":8.490561067134745e-3,\"charge_excess_max_hex\":\"3f81637fd0dd413d\",\"charge_excess_min\":-1.8675557348377305e-2,\"charge_excess_min_hex\":\"bf931faf702ef417\",\"dt_rate_density_per_m3_s\":[1.7204569446988045e17,1.7604050202271478e17,5.0397727662474424e16,5.040430473313474e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e4019d4\",\"43838b5f3b2929ad\",\"4366618eebd9e097\",\"4331e83eabe07cc2\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.3081528618631728e-6,\"power_ledger_residual_hex\":\"beb5f2794853b0ac\"},\"field_sha256\":\"2802cd5148757749d13bbaf2e21f56b3a230c50da2312b5b01c9a783bfac2863\",\"seal_parts\":{\"inputs\":\"d776a9aae8c85b81c524d2326d5d504c98fe807e50fccc0e387fb2bb24e01cf2\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"d59e373ed575d764cf0dd3fff84cd4227acd2fedc5502bc28674a3955d08aff0\",\"invariants\":\"7b31877e51a1e82e71bfc2ca1010463b7afd50f969b4358e356c976d522790d6\",\"field_sha256\":\"d2632468eaac62739dbfbdf977371c5253568d23afdae05edfafd4ef85ef999a\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"de6431b5ad557004a39c1d867d3923f78445ab15c7c5a32ee779cc37291de355\",\"receipt_sha256\":\"c9d758518ac580625c622131ebf03b3afef8a640e8156adb1b90ef56b7323111\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.500000001, 0.5], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: beam power share 1.000000001: a share is not above 0, or the shares do not add to 1 within 0.000000001 (BeamPowerShareOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-1b4d1d0d539c", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.beam_power_share[1]", "input_unit": "1", "whole_number_input": false, "base_value": 0.5, "edge_kind": "declared_limit", "direction": "down", "inside_value": 0.49999999900000003, "inside_value_hex": "3fdffffffeed1f42", "outside_value": 0.499999999, "outside_value_hex": "3fdffffffeed1f41", "width": 5.551115123125783e-17, "adjacent_64_bit_numbers": true, "stop_name": "BeamPowerShareOutOfRange", "stop_sentence": "Physical Violation: beam power share 0.9999999989999999: a share is not above 0, or the shares do not add to 1 within 0.000000001 (BeamPowerShareOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "bd302a191127b912efd76e893f4ea0a242df92ff1497769d4af810b6f929d513", "outside_proof": null, "inside_receipt": "316c67d49279a705f75084f018958d3920354fe5865036db944460658e9af393", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:49:22Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.49999999900000003], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.49999999900000003],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.3782033784412939e17,\"beam_target_dt_rate_per_s_hex\":\"437e9a2ddf8060e7\",\"beam_beam_dt_rate_per_s\":7.405372672459205e15,\"beam_beam_dt_rate_per_s_hex\":\"433a4f25af9241c5\",\"dt_rate_per_s\":3.544296326786519e17,\"dt_rate_per_s_hex\":\"4393acbf7e06bba0\",\"dt_fusion_power_w\":9.9880697677643e5,\"dt_fusion_power_w_hex\":\"412e7b2df41c0a4d\",\"dd_neutron_rate_per_s\":1.0111207326885836e15,\"dd_neutron_rate_per_s_hex\":\"430cbcdf20c6863d\",\"dd_fusion_power_w\":1.1405679960804512e3,\"dd_fusion_power_w_hex\":\"4091d245a0c3b72d\",\"neutron_rate_per_s\":3.554407534113405e17,\"neutron_rate_per_s_hex\":\"4393bb1ded971ee3\",\"fast_ion_count\":1.1485240829653934e19,\"fast_ion_count_hex\":\"43e3ec78b5dc6abc\",\"fast_ion_energy_j\":1.2444664272030313e5,\"fast_ion_energy_j_hex\":\"40fe61ea489515a7\",\"fast_ion_energy_time_s\":1.0911055421704874e-1,\"fast_ion_energy_time_s_hex\":\"3fbbeeab5602ba90\",\"beam_power_to_electrons_w\":1.533273876294145e5,\"beam_power_to_electrons_w_hex\":\"4102b77b19dd7352\",\"beam_power_to_ions_w\":8.032228396140285e5,\"beam_power_to_ions_w_hex\":\"4128832dade1e3d3\",\"beam_power_thermalised_w\":1.8213116448204636e5,\"beam_power_thermalised_w_hex\":\"41063b9950dbf68f\",\"beam_target_fused_fraction\":2.0376761691011185e-3,\"beam_target_fused_fraction_hex\":\"3f60b15110323313\",\"beam_beam_fused_fraction\":1.0904769139483849e-4,\"beam_beam_fused_fraction_hex\":\"3f1c961112aeda14\",\"fast_ion_fraction_max\":1.3602345528945256e-1,\"fast_ion_fraction_max_hex\":\"3fc1693771fa82cf\",\"charge_excess_max\":8.490560795087995e-3,\"charge_excess_max_hex\":\"3f81637fc7844e6b\",\"charge_excess_min\":-1.8675557372123255e-2,\"charge_excess_min_hex\":\"bf931faf709763a7\",\"dt_rate_density_per_m3_s\":[1.72045694302088e17,1.760405019180583e17,5.039772759942985e16,5.040430466142939e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52df0175a\",\"43838b5f3af7423a\",\"4366618eeb61a11b\",\"4331e83eab7312db\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.3061528595608142e-6,\"power_ledger_residual_hex\":\"beb5e9e241b9b63c\"},\"field_sha256\":\"ddf25fbf4a8706a654651879761539f964deabd02c11cb3f40a6f2d7e76e7798\",\"seal_parts\":{\"inputs\":\"1d34fac3cd217f6cc846237b3bf282c3da0f457001cc54fa68e6837d786bfab6\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"2b1b3294c301f65b3dc1a2c5a73abda1943a9e7c7adea83d268407790b728a8d\",\"invariants\":\"4cc758a166296bc685daae8cfad3d87e50c60c917af414f2b3aeb229814ca88f\",\"field_sha256\":\"206dc97f35d3eadb197c127123d2a60fb3cc8e4597264903bb637b9d97447cd8\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"bd302a191127b912efd76e893f4ea0a242df92ff1497769d4af810b6f929d513\",\"receipt_sha256\":\"316c67d49279a705f75084f018958d3920354fe5865036db944460658e9af393\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.499999999], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: beam power share 0.9999999989999999: a share is not above 0, or the shares do not add to 1 within 0.000000001 (BeamPowerShareOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-1b043971fe37", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.beam_power_share[1]", "input_unit": "1", "whole_number_input": false, "base_value": 0.5, "edge_kind": "declared_limit", "direction": "up", "inside_value": 0.5000000009999999, "inside_value_hex": "3fe000000089705e", "outside_value": 0.500000001, "outside_value_hex": "3fe000000089705f", "width": 1.1102230246251565e-16, "adjacent_64_bit_numbers": true, "stop_name": "BeamPowerShareOutOfRange", "stop_sentence": "Physical Violation: beam power share 1.000000001: a share is not above 0, or the shares do not add to 1 within 0.000000001 (BeamPowerShareOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "9d37d646347339ea1b99f4d82d01a2602059032dd5dbcd20943fed12d44eb924", "outside_proof": null, "inside_receipt": "09d1b60262f336f680e57b38193555042f627c52cc68c480c0b2f51db9d4a522", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:49:24Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5000000009999999], \"time_since_beam_change_s\": 0.5503}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5000000009999999],\"time_since_beam_change_s\":0.5503}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.3782033818049499e17,\"beam_target_dt_rate_per_s_hex\":\"437e9a2de0c12969\",\"beam_beam_dt_rate_per_s\":7.405372702080694e15,\"beam_beam_dt_rate_per_s_hex\":\"433a4f25b1563eb6\",\"dt_rate_per_s\":3.54429633044639e17,\"dt_rate_per_s_hex\":\"4393acbf7e5dfdb4\",\"dt_fusion_power_w\":9.988069778078067e5,\"dt_fusion_power_w_hex\":\"412e7b2df4a3398f\",\"dd_neutron_rate_per_s\":1.0111207326885836e15,\"dd_neutron_rate_per_s_hex\":\"430cbcdf20c6863d\",\"dd_fusion_power_w\":1.1405679960804512e3,\"dd_fusion_power_w_hex\":\"4091d245a0c3b72d\",\"neutron_rate_per_s\":3.5544075377732755e17,\"neutron_rate_per_s_hex\":\"4393bb1dedee60f7\",\"fast_ion_count\":1.1485240853926146e19,\"fast_ion_count_hex\":\"43e3ec78b691424e\",\"fast_ion_energy_j\":1.2444664304876831e5,\"fast_ion_energy_j_hex\":\"40fe61ea49ed815a\",\"fast_ion_energy_time_s\":1.0911055450503576e-1,\"fast_ion_energy_time_s_hex\":\"3fbbeeab573f5fb4\",\"beam_power_to_electrons_w\":1.5332738799157398e5,\"beam_power_to_electrons_w_hex\":\"4102b77b1a9b538b\",\"beam_power_to_ions_w\":8.032228412767547e5,\"beam_power_to_ions_w_hex\":\"4128832daebbd3a9\",\"beam_power_thermalised_w\":1.82131164732797e5,\"beam_power_thermalised_w_hex\":\"41063b99515f6dbe\",\"beam_target_fused_fraction\":2.0376761712436768e-3,\"beam_target_fused_fraction_hex\":\"3f60b151107d9586\",\"beam_beam_fused_fraction\":1.0904769168061863e-4,\"beam_beam_fused_fraction_hex\":\"3f1c961113f09c98\",\"fast_ion_fraction_max\":1.3602345558938553e-1,\"fast_ion_fraction_max_hex\":\"3fc16937729f669f\",\"charge_excess_max\":8.490561095020914e-3,\"charge_excess_max_hex\":\"3f81637fd1d28b4f\",\"charge_excess_min\":-1.8675557348278117e-2,\"charge_excess_min_hex\":\"bf931faf702e846a\",\"dt_rate_density_per_m3_s\":[1.720456945048899e17,1.760405020475381e17,5.0397727673961016e16,5.04043047380284e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e50cb71\",\"43838b5f3b34ffde\",\"4366618eebefc947\",\"4331e83eabe7f458\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.3081528612693817e-6,\"power_ledger_residual_hex\":\"beb5f2794828e729\"},\"field_sha256\":\"8d4fc0f2828ec96e232870d6f35403ea39248fd21794cecc3ad2125a5552def0\",\"seal_parts\":{\"inputs\":\"c4e930e8df78cbafce7fa11da0bea75b772725874d58f645ef6afdab63899067\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"a391d11ae802b186e55c2b198899f7254eb336f0a96fbc07c1c4d77b45f2311c\",\"invariants\":\"301ad2bdbaec7a7e39859a53f465bc681385b6d79d97ff14792df9771abea980\",\"field_sha256\":\"ca901fa265a875ef7c9fb41456689912997ce9ae2c6dbce19aafcfaa948847f5\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"9d37d646347339ea1b99f4d82d01a2602059032dd5dbcd20943fed12d44eb924\",\"receipt_sha256\":\"09d1b60262f336f680e57b38193555042f627c52cc68c480c0b2f51db9d4a522\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.500000001], \"time_since_beam_change_s\": 0.5503}}", "outside_answer": "Physical Violation: beam power share 1.000000001: a share is not above 0, or the shares do not add to 1 within 0.000000001 (BeamPowerShareOutOfRange).", "outside_answer_is_error": true}
{"id": "edge-ee2cacccb1de", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.time_since_beam_change_s", "input_unit": "s", "whole_number_input": false, "base_value": 0.5503, "edge_kind": "declared_limit", "direction": "down", "inside_value": 0.5455527718052113, "inside_value_hex": "3fe1752b1624a836", "outside_value": 0.5455527718052112, "outside_value_hex": "3fe1752b1624a835", "width": 1.1102230246251565e-16, "adjacent_64_bit_numbers": true, "stop_name": "BeamChangeTooRecent", "stop_sentence": "Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5455527718052112 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.10911055436104226 s this solve finds: the fast ions have not settled, and the model is steady state.", "stop_where": "in the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "refused", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "eae37ba122b7d2e2e1ef38644ddd243769b8c05b3752b0f520e410602c88b2e7", "outside_proof": "7526b248bc6f5b77914641eae98e5cc2cebecd79a3bfe416419b87f949554f62", "inside_receipt": "f7ca35855946e19c571607c40c0f4b9a1e693b55b2a59495cc4f53f4d7f53475", "outside_receipt": "25b70d9c60f59e88e7dca47f4246defbe81f5871a0bca912ac1cb1c86b4ad487", "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:49:25Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5455527718052113}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5455527718052113}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.3782033801231221e17,\"beam_target_dt_rate_per_s_hex\":\"437e9a2de020c529\",\"beam_beam_dt_rate_per_s\":7.40537268726995e15,\"beam_beam_dt_rate_per_s_hex\":\"433a4f25b074403e\",\"dt_rate_per_s\":3.5442963286164544e17,\"dt_rate_per_s_hex\":\"4393acbf7e325caa\",\"dt_fusion_power_w\":9.988069772921184e5,\"dt_fusion_power_w_hex\":\"412e7b2df45fa1ee\",\"dd_neutron_rate_per_s\":1.0111207326885836e15,\"dd_neutron_rate_per_s_hex\":\"430cbcdf20c6863d\",\"dd_fusion_power_w\":1.1405679960804512e3,\"dd_fusion_power_w_hex\":\"4091d245a0c3b72d\",\"neutron_rate_per_s\":3.55440753594334e17,\"neutron_rate_per_s_hex\":\"4393bb1dedc2bfed\",\"fast_ion_count\":1.148524084179004e19,\"fast_ion_count_hex\":\"43e3ec78b636d685\",\"fast_ion_energy_j\":1.2444664288453574e5,\"fast_ion_energy_j_hex\":\"40fe61ea49414b82\",\"fast_ion_energy_time_s\":1.0911055436104226e-1,\"fast_ion_energy_time_s_hex\":\"3fbbeeab56a10d23\",\"beam_power_to_electrons_w\":1.5332738781049429e5,\"beam_power_to_electrons_w_hex\":\"4102b77b1a3c6370\",\"beam_power_to_ions_w\":8.032228404453917e5,\"beam_power_to_ions_w_hex\":\"4128832dae4edbbf\",\"beam_power_thermalised_w\":1.8213116460742167e5,\"beam_power_thermalised_w_hex\":\"41063b99511db226\",\"beam_target_fused_fraction\":2.0376761701723974e-3,\"beam_target_fused_fraction_hex\":\"3f60b1511057e44c\",\"beam_beam_fused_fraction\":1.0904769153772856e-4,\"beam_beam_fused_fraction_hex\":\"3f1c9611134fbb56\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-1.8675557360200587e-2,\"charge_excess_min_hex\":\"bf931faf7062f3ec\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.3071528604798281e-6,\"power_ledger_residual_hex\":\"beb5ee2dc4f5f8c2\"},\"field_sha256\":\"02095df82ff324b8315e5bf4efeb6d52a7041f0f659a575174c4c7f5300f9126\",\"seal_parts\":{\"inputs\":\"2f031ae5311704b5d232171680648d1c3a201542a89e502c098833299e67d6de\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"dac2d9f04687cc437a7b247795abaa349cc5fef47b705678a5c65166e606ac81\",\"invariants\":\"30f1afff0f1315a06edfabde6213daaa5a1086f68f6d62a3c4540435f39b2c39\",\"field_sha256\":\"9676e98ae81304bdb39c76af66d7ae431e679e6ca2510b31a203f6d30db5a5b1\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"eae37ba122b7d2e2e1ef38644ddd243769b8c05b3752b0f520e410602c88b2e7\",\"receipt_sha256\":\"f7ca35855946e19c571607c40c0f4b9a1e693b55b2a59495cc4f53f4d7f53475\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 0.5455527718052112}}", "outside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":0.5455527718052112}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"refused\",\"reject\":\"BeamChangeTooRecent\",\"reject_detail\":\"Solver Refusal: tokamak_dt_beam_target did not return a fusion rate (BeamChangeTooRecent). the beam power changed 0.5455527718052112 s before this slice, less than 5 (SETTLED_AFTER_ENERGY_TIMES) times the fast-ion energy time of 0.10911055436104226 s this solve finds: the fast ions have not settled, and the model is steady state.\",\"iterations\":null,\"result\":null,\"invariants\":null,\"field_sha256\":null,\"seal_parts\":{\"inputs\":\"40163c37f98e513c3f7a450238be2cfb9f44f7489d1fe767b94c2bec5698d24a\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"invariants\":\"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855\",\"field_sha256\":\"74234e98afe7498fb5daf1f36ac2d78acc339464f950703b8c019892f982b90b\",\"outcome\":\"23c683add5c24deba84ac07dad766a5778ea93f386dafdd350dcf1a4833e550e\"},\"solution_seal\":\"7526b248bc6f5b77914641eae98e5cc2cebecd79a3bfe416419b87f949554f62\",\"receipt_sha256\":\"25b70d9c60f59e88e7dca47f4246defbe81f5871a0bca912ac1cb1c86b4ad487\"}", "outside_answer_is_error": false}
{"id": "edge-7d04e826a6a9", "model": "tokamak_dt_beam_target", "solver": "tokamak_dt_beam_target", "tool": "solve", "specimen": "The deuterium-tritium fusion rate of one time slice of a JET or TFTR pulse in steady state, from its analysed profiles (temperatures, densities, fuel mix in up to 128 radial shells) and its neutral beams: thermal, beam-target from classical slowing-down with the Bosch-Hale cross-section, and beam-beam reactions, the fusion power and the neutron rate. No constant is fitted. Its held-back comparison failed: on the 34 slices of every TFTR tritium pulse of the profile database, another machine, the median of solver over database fusion power was 1.02, but 30 of the 34 lay inside 0.75 to 1.25 where nine in ten were asked (second scoring V-42: the same numbers). The reference is TRANSP's calculation on the same profiles and beam heating the solver is given, so agreement shows the solver's slowing-down arithmetic matches TRANSP's on TRANSP's own plasma and nothing about the neutron counters; against four measured values the solver is +7, +21, -11 and about +8 percent. After that failure limits were written in, on data by then spent and so tested blind by nothing, and are enforced by name. Since engine 0.7.0 the fast ions the solver finds are counted in each shell's charge balance and held from both sides at the extremes the slices compared and answered reach (no more than 12 percent over or 21.5 percent under the electrons), and the ranges of the physics are the span of those slices. The band is wide, and that is a finding: on TFTR the solver's own fast ions are 1.1 to 3.1 times the database's in the shell of largest excess, and the questions carry no thermal hydrogen, which TRANSP holds at 4 to 22 percent of the electrons at the edge. Of the 34 TFTR slices, 23 are answered on 0.7.0 as on 0.6.0, with the same bits: median 1.088, 21 of 23 inside 0.75 to 1.25 (1.015 and 23 of 23 with pulse 73268 against five times its database value, an alpha power). On JET the same 53 slices are answered, median 0.934, all inside the band.", "base": "example_solve", "input": "parameters.time_since_beam_change_s", "input_unit": "s", "whole_number_input": false, "base_value": 0.5503, "edge_kind": "declared_limit", "direction": "up", "inside_value": 100.0, "inside_value_hex": "4059000000000000", "outside_value": 100.00000000000001, "outside_value_hex": "4059000000000001", "width": 1.4210854715202004e-14, "adjacent_64_bit_numbers": true, "stop_name": "TimeSinceBeamChangeOutOfRange", "stop_sentence": "Physical Violation: time since the beam power last changed, 100.00000000000001 s, is outside 0..=100 (TimeSinceBeamChangeOutOfRange).", "stop_where": "before the solve", "flip": null, "inside_outcome": "converged", "outside_outcome": "stopped before the solve", "inside_iterations": 2, "outside_iterations": null, "proof_kind": "solution_seal", "inside_proof": "e403503e1a3d6c70d3729aa72fe7c8eb8da27d455db829d7dadda13804fcdb0d", "outside_proof": null, "inside_receipt": "213df51af55301e62bd2dd858ac9eba0490c555fbfb95e33e2757589010978f5", "outside_receipt": null, "engine_version": "genesis_solvers_v0.8.0", "address": "https://mcp.zerotrustphysics.com/mcp", "asked_utc": "2026-10-14T02:49:27Z", "date": "2026-10-14", "inside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 100.0}}", "inside_answer": "{\"inputs\":{\"solver\":\"tokamak_dt_beam_target\",\"parameters\":{\"shell_volume_m3\":[0.185232,1.13996,2.13983,2.78539],\"electron_temperature_kev\":[10.9616,10.2851,7.36622,4.37061],\"ion_temperature_kev\":[19.2543,18.2776,8.04433,4.37061],\"electron_density_per_m3\":[4.06983e+19,4.47374e+19,5.06836e+19,4.15438e+19],\"deuterium_density_per_m3\":[1.69228e+19,2.04297e+19,1.82594e+19,1.18337e+19],\"tritium_density_per_m3\":[1.37276e+19,1.62253e+19,1.76105e+19,1.52491e+19],\"impurity_density_per_m3\":[8.09588e+17,7.77101e+17,1.92707e+18,2.19865e+18],\"impurity_charge\":6.0,\"impurity_mass_u\":12.0,\"beam_power_w\":[77277.5,319378.0,593792.0,150108.0],\"beam_mass_number\":[2.0,3.0],\"beam_energy_kev\":[80.0,152.0],\"beam_power_share\":[0.5,0.5],\"time_since_beam_change_s\":100.0}},\"engine_version\":\"genesis_solvers_v0.8.0\",\"outcome\":\"converged\",\"reject\":null,\"reject_detail\":null,\"iterations\":2,\"result\":{\"thermal_dt_rate_per_s\":2.092039221620633e17,\"thermal_dt_rate_per_s_hex\":\"438739eeded0b4be\",\"beam_target_dt_rate_per_s\":1.3782033801231221e17,\"beam_target_dt_rate_per_s_hex\":\"437e9a2de020c529\",\"beam_beam_dt_rate_per_s\":7.40537268726995e15,\"beam_beam_dt_rate_per_s_hex\":\"433a4f25b074403e\",\"dt_rate_per_s\":3.5442963286164544e17,\"dt_rate_per_s_hex\":\"4393acbf7e325caa\",\"dt_fusion_power_w\":9.988069772921184e5,\"dt_fusion_power_w_hex\":\"412e7b2df45fa1ee\",\"dd_neutron_rate_per_s\":1.0111207326885836e15,\"dd_neutron_rate_per_s_hex\":\"430cbcdf20c6863d\",\"dd_fusion_power_w\":1.1405679960804512e3,\"dd_fusion_power_w_hex\":\"4091d245a0c3b72d\",\"neutron_rate_per_s\":3.55440753594334e17,\"neutron_rate_per_s_hex\":\"4393bb1dedc2bfed\",\"fast_ion_count\":1.148524084179004e19,\"fast_ion_count_hex\":\"43e3ec78b636d685\",\"fast_ion_energy_j\":1.2444664288453574e5,\"fast_ion_energy_j_hex\":\"40fe61ea49414b82\",\"fast_ion_energy_time_s\":1.0911055436104226e-1,\"fast_ion_energy_time_s_hex\":\"3fbbeeab56a10d23\",\"beam_power_to_electrons_w\":1.5332738781049429e5,\"beam_power_to_electrons_w_hex\":\"4102b77b1a3c6370\",\"beam_power_to_ions_w\":8.032228404453917e5,\"beam_power_to_ions_w_hex\":\"4128832dae4edbbf\",\"beam_power_thermalised_w\":1.8213116460742167e5,\"beam_power_thermalised_w_hex\":\"41063b99511db226\",\"beam_target_fused_fraction\":2.0376761701723974e-3,\"beam_target_fused_fraction_hex\":\"3f60b1511057e44c\",\"beam_beam_fused_fraction\":1.0904769153772856e-4,\"beam_beam_fused_fraction_hex\":\"3f1c9611134fbb56\",\"fast_ion_fraction_max\":1.3602345543941907e-1,\"fast_ion_fraction_max_hex\":\"3fc16937724cf4b8\",\"charge_excess_max\":8.490560945054354e-3,\"charge_excess_max_hex\":\"3f81637fccab6ca3\",\"charge_excess_min\":-1.8675557360200587e-2,\"charge_excess_min_hex\":\"bf931faf7062f3ec\",\"dt_rate_density_per_m3_s\":[1.7204569440348896e17,1.760405019827982e17,5.039772763669543e16,5.040430469972889e15],\"dt_rate_density_per_m3_s_hex\":[\"438319d52e207166\",\"43838b5f3b16210c\",\"4366618eeba8b531\",\"4331e83eabad8399\"]},\"invariants\":{\"particle_ledger_residual\":1.2533377113932431e-16,\"particle_ledger_residual_hex\":\"3ca2100000000000\",\"energy_ledger_residual\":1.9887641114157973e-6,\"energy_ledger_residual_hex\":\"3ec0aed6a1f8cccd\",\"power_ledger_residual\":-1.3071528604798281e-6,\"power_ledger_residual_hex\":\"beb5ee2dc4f5f8c2\"},\"field_sha256\":\"02095df82ff324b8315e5bf4efeb6d52a7041f0f659a575174c4c7f5300f9126\",\"seal_parts\":{\"inputs\":\"31a342d23c31d2fdfe350abe99cc23335271028db708e3c8ea706d12dd940b73\",\"engine_version\":\"03681dfbba883c99a15572f7caac98c48373f19f1eda2c2c26ad6e42e5b7daec\",\"result\":\"dac2d9f04687cc437a7b247795abaa349cc5fef47b705678a5c65166e606ac81\",\"invariants\":\"30f1afff0f1315a06edfabde6213daaa5a1086f68f6d62a3c4540435f39b2c39\",\"field_sha256\":\"9676e98ae81304bdb39c76af66d7ae431e679e6ca2510b31a203f6d30db5a5b1\",\"outcome\":\"797abb29449cb9ddbddb2d201328cd53cd261f0cf8e0c83bef571f75793471a3\"},\"solution_seal\":\"e403503e1a3d6c70d3729aa72fe7c8eb8da27d455db829d7dadda13804fcdb0d\",\"receipt_sha256\":\"213df51af55301e62bd2dd858ac9eba0490c555fbfb95e33e2757589010978f5\"}", "outside_request": "{\"solver\": \"tokamak_dt_beam_target\", \"parameters\": {\"shell_volume_m3\": [0.185232, 1.13996, 2.13983, 2.78539], \"electron_temperature_kev\": [10.9616, 10.2851, 7.36622, 4.37061], \"ion_temperature_kev\": [19.2543, 18.2776, 8.04433, 4.37061], \"electron_density_per_m3\": [4.06983e+19, 4.47374e+19, 5.06836e+19, 4.15438e+19], \"deuterium_density_per_m3\": [1.69228e+19, 2.04297e+19, 1.82594e+19, 1.18337e+19], \"tritium_density_per_m3\": [1.37276e+19, 1.62253e+19, 1.76105e+19, 1.52491e+19], \"impurity_density_per_m3\": [8.09588e+17, 7.77101e+17, 1.92707e+18, 2.19865e+18], \"impurity_charge\": 6.0, \"impurity_mass_u\": 12.0, \"beam_power_w\": [77277.5, 319378.0, 593792.0, 150108.0], \"beam_mass_number\": [2.0, 3.0], \"beam_energy_kev\": [80.0, 152.0], \"beam_power_share\": [0.5, 0.5], \"time_since_beam_change_s\": 100.00000000000001}}", "outside_answer": "Physical Violation: time since the beam power last changed, 100.00000000000001 s, is outside 0..=100 (TimeSinceBeamChangeOutOfRange).", "outside_answer_is_error": true}