Recorded data and provenance for the associated calculation.

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created_utc20261013T173917Z
passed91
scopeExact scalar band, center metric and conormal arithmetic. Tangential connection inheritance requires the accompanying geometric proof. No ambient dynamical selection, odd-depth spectrum or stationary particle is tested.
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{
  "created_utc": "20261013T173917Z",
  "passed": 91,
  "checks": [
    "m=1: induced holomorphic line",
    "m=1: conjugate normal sign",
    "m=1: normal determinant multiplicity",
    "m=1: ambient exterior rank",
    "m=1, N=0: cumulative simplex count",
    "m=1, N=0: moving-center metric",
    "m=1, N=0: positive horizontal metric",
    "m=1, N=1: cumulative simplex count",
    "m=1, N=1: moving-center metric",
    "m=1, N=1: positive horizontal metric",
    "m=1, N=2: cumulative simplex count",
    "m=1, N=2: moving-center metric",
    "m=1, N=2: positive horizontal metric",
    "m=1, N=12: cumulative simplex count",
    "m=1, N=12: moving-center metric",
    "m=1, N=12: positive horizontal metric",
    "m=1, N=22: cumulative simplex count",
    "m=1, N=22: moving-center metric",
    "m=1, N=22: positive horizontal metric",
    "m=1, N=34: cumulative simplex count",
    "m=1, N=34: moving-center metric",
    "m=1, N=34: positive horizontal metric",
    "m=2: induced holomorphic line",
    "m=2: conjugate normal sign",
    "m=2: normal determinant multiplicity",
    "m=2: ambient exterior rank",
    "m=2, N=0: cumulative simplex count",
    "m=2, N=0: moving-center metric",
    "m=2, N=0: positive horizontal metric",
    "m=2, N=1: cumulative simplex count",
    "m=2, N=1: moving-center metric",
    "m=2, N=1: positive horizontal metric",
    "m=2, N=2: cumulative simplex count",
    "m=2, N=2: moving-center metric",
    "m=2, N=2: positive horizontal metric",
    "m=2, N=12: cumulative simplex count",
    "m=2, N=12: moving-center metric",
    "m=2, N=12: positive horizontal metric",
    "m=2, N=22: cumulative simplex count",
    "m=2, N=22: moving-center metric",
    "m=2, N=22: positive horizontal metric",
    "m=2, N=34: cumulative simplex count",
    "m=2, N=34: moving-center metric",
    "m=2, N=34: positive horizontal metric",
    "m=3: induced holomorphic line",
    "m=3: conjugate normal sign",
    "m=3: normal determinant multiplicity",
    "m=3: ambient exterior rank",
    "m=3, N=0: cumulative simplex count",
    "m=3, N=0: moving-center metric",
    "m=3, N=0: positive horizontal metric",
    "m=3, N=1: cumulative simplex count",
    "m=3, N=1: moving-center metric",
    "m=3, N=1: positive horizontal metric",
    "m=3, N=2: cumulative simplex count",
    "m=3, N=2: moving-center metric",
    "m=3, N=2: positive horizontal metric",
    "m=3, N=12: cumulative simplex count",
    "m=3, N=12: moving-center metric",
    "m=3, N=12: positive horizontal metric",
    "m=3, N=22: cumulative simplex count",
    "m=3, N=22: moving-center metric",
    "m=3, N=22: positive horizontal metric",
    "m=3, N=34: cumulative simplex count",
    "m=3, N=34: moving-center metric",
    "m=3, N=34: positive horizontal metric",
    "m=5: induced holomorphic line",
    "m=5: conjugate normal sign",
    "m=5: normal determinant multiplicity",
    "m=5: ambient exterior rank",
    "m=5, N=0: cumulative simplex count",
    "m=5, N=0: moving-center metric",
    "m=5, N=0: positive horizontal metric",
    "m=5, N=1: cumulative simplex count",
    "m=5, N=1: moving-center metric",
    "m=5, N=1: positive horizontal metric",
    "m=5, N=2: cumulative simplex count",
    "m=5, N=2: moving-center metric",
    "m=5, N=2: positive horizontal metric",
    "m=5, N=12: cumulative simplex count",
    "m=5, N=12: moving-center metric",
    "m=5, N=12: positive horizontal metric",
    "m=5, N=22: cumulative simplex count",
    "m=5, N=22: moving-center metric",
    "m=5, N=22: positive horizontal metric",
    "m=5, N=34: cumulative simplex count",
    "m=5, N=34: moving-center metric",
    "m=5, N=34: positive horizontal metric",
    "electron cutoff metric",
    "muon cutoff metric",
    "expanded ambient carrier rank"
  ],
  "rows": [
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      "physical_depth": 2,
      "cutoff": 0,
      "induced_line_degree": 1,
      "spatial_band_count": 2,
      "horizontal_metric": "1",
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    },
    {
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      "horizontal_metric": "5",
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    },
    {
      "physical_depth": 2,
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      "horizontal_metric": "11",
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    },
    {
      "physical_depth": 2,
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      "induced_line_degree": 1,
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      "horizontal_metric": "181",
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    {
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    {
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    },
    {
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      "horizontal_metric": "34/3",
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    },
    {
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    },
    {
      "physical_depth": 6,
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      "induced_line_degree": 3,
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      "horizontal_metric": "700",
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    },
    {
      "physical_depth": 10,
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    },
    {
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    },
    {
      "physical_depth": 10,
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    },
    {
      "physical_depth": 10,
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    },
    {
      "physical_depth": 10,
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    {
      "physical_depth": 10,
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      "spatial_band_count": 625276708056,
      "horizontal_metric": "515",
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  ],
  "sources": {
    "experiments/projective-common-geometry.py": "3f5b0cd83e2d0572a8560cc89e9d3046f73dccfc2bbc853f0e4cf3fefe7227f9"
  },
  "scope": "Exact scalar band, center metric and conormal arithmetic. Tangential connection inheritance requires the accompanying geometric proof. No ambient dynamical selection, odd-depth spectrum or stationary particle is tested."
}