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Public research release: exact-84 candidate theorem, rigidity, stability, verifier, and prior-art audit
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{
"schema_version": 1,
"release_name": "Hsin-Heart Exact 84 \u2014 Rigidity and Stability",
"release_date": "2026-09-11",
"repository_target": "PureOne/hsin-heart-exact84-two-intersection",
"repository_type": "dataset",
"visibility": "public",
"status": "candidate_theorem_unreviewed",
"primary_result": "A(J^{21,8},{4,6}) = 84",
"historical_bound": 105,
"exact_maximum_claimed": 84,
"sharp_non_pg24_maximum": 81,
"rigidity_threshold": 82,
"reproduction": {
"python": ">=3.9",
"dependencies": [],
"command": "python verification/hsin84_final_verify.py verification/core38_final_data.json verification/hsin84_final_certificate.json"
},
"keywords": [
"extremal combinatorics",
"two-intersection family",
"Johnson scheme",
"two-distance code",
"coding theory",
"doubly-even code",
"self-orthogonal code",
"PG(2,4)",
"Golay code",
"Petersen graph",
"Delsarte bound",
"computer-assisted proof",
"reproducible mathematics"
]
}