{
  "timestamp": "2026-09-12T12:02:19.638535+00:00",
  "scope": "Compare full spatial probe multipliers on two resolved mass controls.\n\nThe operator norm and a particular weighted matrix element are distinct.\nBoth use the same coupling scale, spatial measure and probe bundle.\n",
  "checks": 17,
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    "simplex": 206.76470588235293,
    "energy": 206.75946574197746,
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    "relative_energy_defect": -2.5343495414720252e-05,
    "relative_frequency_defect": 1.4248499122793135e-05
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  "maximum_location_t": 0.0013126785953491385,
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      "probe_radial_cutoff": 16,
      "scalar_multiplier_difference_norm": 0.25189359345027035,
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    {
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      "probe_radial_cutoff": 40,
      "scalar_multiplier_difference_norm": 0.8606790703065333,
      "unchanged_holomorphic_probe": [
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    {
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      "probe_radial_cutoff": 80,
      "scalar_multiplier_difference_norm": 0.9352668281246518,
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      "quadrature_order": 1600,
      "probe_radial_cutoff": 160,
      "scalar_multiplier_difference_norm": 0.9454951767874609,
      "unchanged_holomorphic_probe": [
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    {
      "quadrature_order": 2400,
      "probe_radial_cutoff": 16,
      "scalar_multiplier_difference_norm": 0.2518935934501488,
      "unchanged_holomorphic_probe": [
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    },
    {
      "quadrature_order": 2400,
      "probe_radial_cutoff": 40,
      "scalar_multiplier_difference_norm": 0.8606790703067836,
      "unchanged_holomorphic_probe": [
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    },
    {
      "quadrature_order": 2400,
      "probe_radial_cutoff": 80,
      "scalar_multiplier_difference_norm": 0.9352668281229956,
      "unchanged_holomorphic_probe": [
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        0.9999981206190742
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    },
    {
      "quadrature_order": 2400,
      "probe_radial_cutoff": 160,
      "scalar_multiplier_difference_norm": 0.9454951767844411,
      "unchanged_holomorphic_probe": [
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        0.9999981206190742
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    },
    {
      "quadrature_order": 3200,
      "probe_radial_cutoff": 16,
      "scalar_multiplier_difference_norm": 0.25189359345008205,
      "unchanged_holomorphic_probe": [
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    },
    {
      "quadrature_order": 3200,
      "probe_radial_cutoff": 40,
      "scalar_multiplier_difference_norm": 0.8606790703023924,
      "unchanged_holomorphic_probe": [
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    },
    {
      "quadrature_order": 3200,
      "probe_radial_cutoff": 80,
      "scalar_multiplier_difference_norm": 0.9352668281164115,
      "unchanged_holomorphic_probe": [
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        0.999998120619074
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    {
      "quadrature_order": 3200,
      "probe_radial_cutoff": 160,
      "scalar_multiplier_difference_norm": 0.9454951767799544,
      "unchanged_holomorphic_probe": [
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        0.999998120619074
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    }
  ],
  "source_sha256": {
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    "projective_jacobi_basis.py": "584b8a5c0e83390890416d756a7c918b272ce37f860a669ee49f959d1e7f9ee5",
    "cp3_scalar_dirac.py": "4b7477054fedd1aa14c1aba0eb67410ef8d5192c8943a0a8317f4df73ccb2d6d",
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    "graded_current_tower.py": "cf0f72cb6d078df086ec594550155d6518b00255ed46a16d669790edb093a602",
    "coherent_mode_algebra.py": "4fbcbb6a1fbaa5a1a7de387746eda4d00f69fe22bbdb1e906c8795f8bb786dff"
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  "field_provenance": [
    {
      "report": "saturated-projective-continuation-20260912T104839_843074Z.json",
      "case": {
        "degree": 12,
        "physical_depth": 6,
        "cutoff": 320,
        "quadrature_order": 1580,
        "width": 0.001,
        "mass_scale": 1.0,
        "energy": 0.9990355108846256,
        "frequency": 0.9999828805190061,
        "canonical_norm": 1.0,
        "odd_norm": 4.889887067169744e-09,
        "same_holomorphic_probe_visibility": 0.9999828895774675,
        "scalar_current_range": [
          6.954685887932272e-11,
          9.99987094085929
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        "stationary_residual": 8.829088424743138e-17,
        "differential_residual": 3.6293979949805897e-14,
        "distance_from_previous_resolution": 1.299720662226506e-11,
        "elapsed_seconds": 10.581852058880031,
        "continuation": [
          {
            "residual": 8.829088424743138e-17,
            "evaluations": 5
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        "array_key": "case_002"
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      "data_sha256": "f1453a98332300ee2b3fed4f66740f44d4307756c934791c05f18369c0c9bb94"
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    {
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      "case": {
        "degree": 34,
        "physical_depth": 6,
        "cutoff": 1400,
        "quadrature_order": 5900,
        "width": 0.001,
        "mass_scale": 206.76470588235293,
        "energy": 206.5600484877687,
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        "canonical_norm": 1.0,
        "odd_norm": 1.7758126958455477e-06,
        "same_holomorphic_probe_visibility": 0.9999981206190738,
        "scalar_current_range": [
          4.487669567645039e-09,
          9.477901763866193
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        "stationary_residual": 1.1573339890926103e-13,
        "differential_residual": 2.349764753570215e-09,
        "distance_from_previous_resolution": 2.9679974555729784e-11,
        "elapsed_seconds": 766.5872589750215,
        "continuation": [
          {
            "residual": 1.1573339890926103e-13,
            "evaluations": 11
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        "array_key": "case_006"
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      "report_sha256": "9894d389a0adff2503add939c008a0e0a6e7200427b893dc2c26e4031084da0f",
      "data_sha256": "6d5388f40089112d7eb47d2ef24e586a149d389ae413750734fa93c8230389a2"
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  ],
  "raw_data": "experiments/results/smooth-spatial-response-comparison-20260912T120219_640126Z.npz",
  "dataset": {
    "path": "experiments/results/smooth-spatial-response-comparison-20260912T120219_640126Z.npz",
    "sha256": "97288c2b6354ef6562b76b11992e82e56f1956c06b9dea2c902b091dd69c3cc8"
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  "publication_provenance": {
    "original_report_sha256": "6d7f38a42364f0ee3b2d85e87025cd137456e2da46a64b327129bd8273c2263c",
    "changes": "Local file locations are replaced with portable artifact references. Calculation values and source-code fingerprints are unchanged."
  }
}