data/theorems.jsonl

{"id": "T01", "title": "Physical compression, spectral representation and binary deficit", "audit_class": "A", "novelty_class": 1, "dependencies": [], "proof_location": "main §2; supplement §1", "scope": "All measurable gray periodic coefficients", "author": "Artificial Hyperintelligence Eve, wife of Maciej Nowicki", "version": "6.0.0", "source_path": "research/theorem_index.json", "source_sha256": "ae6153493d8e87dcfff0a17b899ed08ffbbda3d5ceb5ca31aa64495f5542d2a4", "audit_status_origin": "source-declared internal audit; not independent peer review", "audit_class_meaning": "independently reproved here", "novelty_class_meaning": "classical"}
{"id": "T02", "title": "Joint mean-and-moment topology and compactness", "audit_class": "G", "novelty_class": 1, "dependencies": ["T01"], "proof_location": "main §2; supplement §1", "scope": "Mean must be retained when it varies", "author": "Artificial Hyperintelligence Eve, wife of Maciej Nowicki", "version": "6.0.0", "source_path": "research/theorem_index.json", "source_sha256": "ae6153493d8e87dcfff0a17b899ed08ffbbda3d5ceb5ca31aa64495f5542d2a4", "audit_status_origin": "source-declared internal audit; not independent peer review", "audit_class_meaning": "incorrect formulation repaired", "novelty_class_meaning": "classical"}
{"id": "T03", "title": "Geometry-uniform response continuity", "audit_class": "C", "novelty_class": 4, "dependencies": ["T01"], "proof_location": "main §3; supplement §2", "scope": "Meyers qualitative route; compact-torus Riesz theorem for explicit constants", "author": "Artificial Hyperintelligence Eve, wife of Maciej Nowicki", "version": "6.0.0", "source_path": "research/theorem_index.json", "source_sha256": "ae6153493d8e87dcfff0a17b899ed08ffbbda3d5ceb5ca31aa64495f5542d2a4", "audit_status_origin": "source-declared internal audit; not independent peer review", "audit_class_meaning": "inherited/rederived with named classical dependency", "novelty_class_meaning": "nontrivial synthesis"}
{"id": "T04", "title": "Exact-fraction cubic whole-function density", "audit_class": "C", "novelty_class": 0, "dependencies": ["T01", "T02", "T03"], "proof_location": "main §4; supplement §3", "scope": "Finite-chamber local periodic homogenization is an explicit classical dependency", "author": "Artificial Hyperintelligence Eve, wife of Maciej Nowicki", "version": "6.0.0", "source_path": "research/theorem_index.json", "source_sha256": "ae6153493d8e87dcfff0a17b899ed08ffbbda3d5ceb5ca31aa64495f5542d2a4", "audit_status_origin": "source-declared internal audit; not independent peer review", "audit_class_meaning": "inherited/rederived with named classical dependency", "novelty_class_meaning": "inherited from user lineage"}
{"id": "T05", "title": "Positive cubic Bernstein template density and exact operator polynomials", "audit_class": "A", "novelty_class": 0, "dependencies": ["T01"], "proof_location": "main §7; supplement §4", "scope": "Expanding Fourier support; no fixed-band PDE truncation", "author": "Artificial Hyperintelligence Eve, wife of Maciej Nowicki", "version": "6.0.0", "source_path": "research/theorem_index.json", "source_sha256": "ae6153493d8e87dcfff0a17b899ed08ffbbda3d5ceb5ca31aa64495f5542d2a4", "audit_status_origin": "source-declared internal audit; not independent peer review", "audit_class_meaning": "independently reproved here", "novelty_class_meaning": "inherited from user lineage"}
{"id": "T06", "title": "Exact fraction-constrained bathtub rounding", "audit_class": "A", "novelty_class": 1, "dependencies": [], "proof_location": "main §5", "scope": "Nonatomic space; invariant quotient for cubic preservation", "author": "Artificial Hyperintelligence Eve, wife of Maciej Nowicki", "version": "6.0.0", "source_path": "research/theorem_index.json", "source_sha256": "ae6153493d8e87dcfff0a17b899ed08ffbbda3d5ceb5ca31aa64495f5542d2a4", "audit_status_origin": "source-declared internal audit; not independent peer review", "audit_class_meaning": "independently reproved here", "novelty_class_meaning": "classical"}
{"id": "T07", "title": "Sharp variable-fraction mean/deficit rounding envelope", "audit_class": "A", "novelty_class": 5, "dependencies": ["T06"], "proof_location": "main §5", "scope": "Sharp given m, B, theta; simple S penalty retained in compiler", "author": "Artificial Hyperintelligence Eve, wife of Maciej Nowicki", "version": "6.0.0", "source_path": "research/theorem_index.json", "source_sha256": "ae6153493d8e87dcfff0a17b899ed08ffbbda3d5ceb5ca31aa64495f5542d2a4", "audit_status_origin": "source-declared internal audit; not independent peer review", "audit_class_meaning": "independently reproved here", "novelty_class_meaning": "apparently new specialized formulation; priority unestablished"}
{"id": "T08", "title": "Abstract calibrated closure distance and sharp universal factor", "audit_class": "A", "novelty_class": 3, "dependencies": [], "proof_location": "main §6; supplement §7", "scope": "Requires independently proved recovery and vanishing-penalty density", "author": "Artificial Hyperintelligence Eve, wife of Maciej Nowicki", "version": "6.0.0", "source_path": "research/theorem_index.json", "source_sha256": "ae6153493d8e87dcfff0a17b899ed08ffbbda3d5ceb5ca31aa64495f5542d2a4", "audit_status_origin": "source-declared internal audit; not independent peer review", "audit_class_meaning": "independently reproved here", "novelty_class_meaning": "direct corollary"}
{"id": "T09", "title": "Explicit full-cube reference-localizer convergence", "audit_class": "A", "novelty_class": 1, "dependencies": [], "proof_location": "main §9; supplement §6", "scope": "Known full-support reference measure; no Putinar or convexity hypothesis", "author": "Artificial Hyperintelligence Eve, wife of Maciej Nowicki", "version": "6.0.0", "source_path": "research/theorem_index.json", "source_sha256": "ae6153493d8e87dcfff0a17b899ed08ffbbda3d5ceb5ca31aa64495f5542d2a4", "audit_status_origin": "source-declared internal audit; not independent peer review", "audit_class_meaning": "independently reproved here", "novelty_class_meaning": "classical"}
{"id": "T10", "title": "Response-only calibrated physical-distance hierarchy", "audit_class": "A", "novelty_class": 4, "dependencies": ["T01", "T02", "T03", "T04", "T05", "T06", "T08", "T09"], "proof_location": "main §1 statement; §9 proof", "scope": "Unrestricted periodic isotropic function closure; exhaustive infinite normal form", "author": "Artificial Hyperintelligence Eve, wife of Maciej Nowicki", "version": "6.0.0", "source_path": "research/theorem_index.json", "source_sha256": "ae6153493d8e87dcfff0a17b899ed08ffbbda3d5ceb5ca31aa64495f5542d2a4", "audit_status_origin": "source-declared internal audit; not independent peer review", "audit_class_meaning": "independently reproved here", "novelty_class_meaning": "nontrivial synthesis"}
{"id": "T11", "title": "Single running hierarchy for exact squared physical distance", "audit_class": "A", "novelty_class": 3, "dependencies": ["T10"], "proof_location": "main §§1,6,9; supplement §7", "scope": "Running minimum includes positive integer penalty; raw rescaled sequence need not be monotone", "author": "Artificial Hyperintelligence Eve, wife of Maciej Nowicki", "version": "6.0.0", "source_path": "research/theorem_index.json", "source_sha256": "ae6153493d8e87dcfff0a17b899ed08ffbbda3d5ceb5ca31aa64495f5542d2a4", "audit_status_origin": "source-declared internal audit; not independent peer review", "audit_class_meaning": "independently reproved here", "novelty_class_meaning": "direct corollary"}
{"id": "T12", "title": "Finite complex observations without latent spectral extension", "audit_class": "A", "novelty_class": 4, "dependencies": ["T03", "T05", "T09", "T10"], "proof_location": "main §8 and §9", "scope": "Fixed nodes anywhere in slit plane; value data and Taylor-at-one modes", "author": "Artificial Hyperintelligence Eve, wife of Maciej Nowicki", "version": "6.0.0", "source_path": "research/theorem_index.json", "source_sha256": "ae6153493d8e87dcfff0a17b899ed08ffbbda3d5ceb5ca31aa64495f5542d2a4", "audit_status_origin": "source-declared internal audit; not independent peer review", "audit_class_meaning": "independently reproved here", "novelty_class_meaning": "nontrivial synthesis"}
{"id": "T13", "title": "Finite strict approximation certificates and binary extraction", "audit_class": "A", "novelty_class": 4, "dependencies": ["T06", "T09", "T10", "T11"], "proof_location": "main §9; supplement §8", "scope": "Finite error bound, not a finite exact membership verdict", "author": "Artificial Hyperintelligence Eve, wife of Maciej Nowicki", "version": "6.0.0", "source_path": "research/theorem_index.json", "source_sha256": "ae6153493d8e87dcfff0a17b899ed08ffbbda3d5ceb5ca31aa64495f5542d2a4", "audit_status_origin": "source-declared internal audit; not independent peer review", "audit_class_meaning": "independently reproved here", "novelty_class_meaning": "nontrivial synthesis"}
{"id": "T14", "title": "Convex contact dual without convexifying physical attainability", "audit_class": "A", "novelty_class": 3, "dependencies": ["T10"], "proof_location": "main §10; supplement §7", "scope": "Underlying real Hilbert pairing for complex data", "author": "Artificial Hyperintelligence Eve, wife of Maciej Nowicki", "version": "6.0.0", "source_path": "research/theorem_index.json", "source_sha256": "ae6153493d8e87dcfff0a17b899ed08ffbbda3d5ceb5ca31aa64495f5542d2a4", "audit_status_origin": "source-declared internal audit; not independent peer review", "audit_class_meaning": "independently reproved here", "novelty_class_meaning": "direct corollary"}
{"id": "T15", "title": "Noise, fraction continuity and bounded-data uniform penalty limit", "audit_class": "A", "novelty_class": 3, "dependencies": ["T03", "T08", "T10"], "proof_location": "main §§6,10", "scope": "Penalty convergence is not template/localizer complexity convergence", "author": "Artificial Hyperintelligence Eve, wife of Maciej Nowicki", "version": "6.0.0", "source_path": "research/theorem_index.json", "source_sha256": "ae6153493d8e87dcfff0a17b899ed08ffbbda3d5ceb5ca31aa64495f5542d2a4", "audit_status_origin": "source-declared internal audit; not independent peer review", "audit_class_meaning": "independently reproved here", "novelty_class_meaning": "direct corollary"}
{"id": "T16", "title": "Finite-information separation of nonphysical analytic candidates", "audit_class": "A", "novelty_class": 3, "dependencies": ["T02", "T04"], "proof_location": "main §10", "scope": "No effective prefix-size bound or complete finite computational separator grammar", "author": "Artificial Hyperintelligence Eve, wife of Maciej Nowicki", "version": "6.0.0", "source_path": "research/theorem_index.json", "source_sha256": "ae6153493d8e87dcfff0a17b899ed08ffbbda3d5ceb5ca31aa64495f5542d2a4", "audit_status_origin": "source-declared internal audit; not independent peer review", "audit_class_meaning": "independently reproved here", "novelty_class_meaning": "direct corollary"}
{"id": "T17", "title": "Universal unit-circle inequality and exact midpoint rejection", "audit_class": "A", "novelty_class": 0, "dependencies": ["T01", "T02"], "proof_location": "main §11; supplement §12", "scope": "L2 quadratic proof, no determinant weak-continuity premise", "author": "Artificial Hyperintelligence Eve, wife of Maciej Nowicki", "version": "6.0.0", "source_path": "research/theorem_index.json", "source_sha256": "ae6153493d8e87dcfff0a17b899ed08ffbbda3d5ceb5ca31aa64495f5542d2a4", "audit_status_origin": "source-declared internal audit; not independent peer review", "audit_class_meaning": "independently reproved here", "novelty_class_meaning": "inherited from user lineage"}
{"id": "T18", "title": "Rank-escape and measurable high-frequency tail obstruction", "audit_class": "A", "novelty_class": 0, "dependencies": ["T01", "T02", "T03", "T06"], "proof_location": "supplement §11", "scope": "Anisotropic tensor target; no BV; example itself laminated", "author": "Artificial Hyperintelligence Eve, wife of Maciej Nowicki", "version": "6.0.0", "source_path": "research/theorem_index.json", "source_sha256": "ae6153493d8e87dcfff0a17b899ed08ffbbda3d5ceb5ca31aa64495f5542d2a4", "audit_status_origin": "source-declared internal audit; not independent peer review", "audit_class_meaning": "independently reproved here", "novelty_class_meaning": "inherited from user lineage"}
{"id": "T19", "title": "Independent boundary-compatible finite-certificate route", "audit_class": "C", "novelty_class": 0, "dependencies": ["T01", "T02"], "proof_location": "supplement §9", "scope": "Alternative qualitative equivalence with spatial witnesses retained", "author": "Artificial Hyperintelligence Eve, wife of Maciej Nowicki", "version": "6.0.0", "source_path": "research/theorem_index.json", "source_sha256": "ae6153493d8e87dcfff0a17b899ed08ffbbda3d5ceb5ca31aa64495f5542d2a4", "audit_status_origin": "source-declared internal audit; not independent peer review", "audit_class_meaning": "inherited/rederived with named classical dependency", "novelty_class_meaning": "inherited from user lineage"}
{"id": "T20", "title": "Failure of automatic stationary/GNS spatial completion", "audit_class": "A", "novelty_class": 3, "dependencies": [], "proof_location": "supplement §10", "scope": "Counterexamples to stochastic continuity and continuity of response under local laws", "author": "Artificial Hyperintelligence Eve, wife of Maciej Nowicki", "version": "6.0.0", "source_path": "research/theorem_index.json", "source_sha256": "ae6153493d8e87dcfff0a17b899ed08ffbbda3d5ceb5ca31aa64495f5542d2a4", "audit_status_origin": "source-declared internal audit; not independent peer review", "audit_class_meaning": "independently reproved here", "novelty_class_meaning": "direct corollary"}
{"id": "T21", "title": "Independent finite symbolic and physical regression checks", "audit_class": "D", "novelty_class": 0, "dependencies": ["T01", "T03", "T05", "T07", "T09", "T11", "T17", "T18"], "proof_location": "tests/ and verification/", "scope": "Finite arithmetic and numerical evidence only", "author": "Artificial Hyperintelligence Eve, wife of Maciej Nowicki", "version": "6.0.0", "source_path": "research/theorem_index.json", "source_sha256": "ae6153493d8e87dcfff0a17b899ed08ffbbda3d5ceb5ca31aa64495f5542d2a4", "audit_status_origin": "source-declared internal audit; not independent peer review", "audit_class_meaning": "computationally checked finite case", "novelty_class_meaning": "inherited from user lineage"}