SilverSight/signatures/known_equation_validation.json
allaun 4644303d50 feat: known-equation validation — 6/6 proven equations pass deterministically
- validate_known_equations.py: tests Erdos-Renyi, Goormaghtigh (x3),
  Hachimoji N=8, Sidon set through PIST classifier
- Every equation produces deterministic matrix hash + spectral radius
- All 6/6 signal detected (λ >= 1.5)
- Matrix hashes stable across runs (SHA-256 of canonical JSON)
- Receipt written to signatures/known_equation_validation.json
- Wired into entry gate as Layer 3 alongside Erdos-Renyi verification
2026-06-30 06:32:15 -05:00

62 lines
1.8 KiB
JSON

{
"schema": "known_equation_validation_v1",
"deterministic": true,
"total": 6,
"signals_detected": 6,
"results": [
{
"name": "Erdos-Renyi critical graph G(n,1/n)",
"lambda": 3.3665,
"shape": "SignalShapedRouteCompiler",
"matrix_hash": "dd7f3a1b03e2",
"source": "Erdos 1976, Problem 30; eridos_renyi_quimb.py",
"deterministic": true,
"signal_detected": true
},
{
"name": "Goormaghtigh: R(2,5) = 31",
"lambda": 5.4862,
"shape": "CognitiveLoadField",
"matrix_hash": "316cfbdaba17",
"source": "GoormaghtighEnumeration.lean, BMS 2008 bounds; Grantham 2024",
"deterministic": true,
"signal_detected": true
},
{
"name": "Goormaghtigh: R(5,3) = 31",
"lambda": 2.0,
"shape": "SignalShapedRouteCompiler",
"matrix_hash": "d922d57b9a8e",
"source": "GoormaghtighEnumeration.lean",
"deterministic": true,
"signal_detected": true
},
{
"name": "Goormaghtigh: R(2,13) = 8191",
"lambda": 1.7712,
"shape": "SignalShapedRouteCompiler",
"matrix_hash": "4c2c7d3fdee0",
"source": "GoormaghtighEnumeration.lean",
"deterministic": true,
"signal_detected": true
},
{
"name": "Hachimoji N=8 uniqueness",
"lambda": 1.8965,
"shape": "SignalShapedRouteCompiler",
"matrix_hash": "db7e1d196df5",
"source": "HachimojiN8.lean, n8_unique theorem",
"deterministic": true,
"signal_detected": true
},
{
"name": "Sidon set Singer construction",
"lambda": 2.0926,
"shape": "SignalShapedRouteCompiler",
"matrix_hash": "c16a124707e9",
"source": "SidonSets.lean, Singer 1938",
"deterministic": true,
"signal_detected": true
}
]
}