{
  "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"
  ]
}