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