| { | |
| "schema_version": "3.0", | |
| "episode_id": "eval_sample_8_smith_klein_four", | |
| "problem_id": "sample_8", | |
| "milestone_id": "m2", | |
| "split": "eval", | |
| "episode_type": "exact_benchmark", | |
| "reward_mode": "exact_machine", | |
| "verifier_id": "smith_root_group", | |
| "prompt": "Distinguish the order-four torsion group with invariant factors 2,2 from the cyclic order-four case.", | |
| "input": { | |
| "matching_matrix": [ | |
| [ | |
| 2, | |
| 0 | |
| ], | |
| [ | |
| 0, | |
| 2 | |
| ] | |
| ] | |
| }, | |
| "candidate_required_fields": [ | |
| "torsion_invariant_factors", | |
| "free_rank", | |
| "finite_torsion_cokernel", | |
| "torsion_order", | |
| "regular_character_count", | |
| "every_character_multiplicity_one" | |
| ], | |
| "submission_schema_ref": "schemas/submission.schema.json", | |
| "policy_visibility": "public" | |
| } | |