{
  "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
    }
  ]
}