{
  "timestamp": "2026-09-12T11:50:17.722917+00:00",
  "status": "exploratory_radial_response",
  "scope": "Independent radial response about a resolved smooth spatial field.\n\nThe stationary background and response cutoffs are distinct. A nonzero\ngrowth rate is checked with full differential residuals and refined bases.\nAbsence of radial growth does not establish full angular or nonlinear stability.\n",
  "background_case": {
    "degree": 34,
    "physical_depth": 6,
    "cutoff": 1400,
    "quadrature_order": 5900,
    "width": 0.001,
    "mass_scale": 206.76470588235293,
    "energy": 206.5600484877687,
    "frequency": 206.76411221419528,
    "canonical_norm": 1.0,
    "odd_norm": 1.7758126958455477e-06,
    "same_holomorphic_probe_visibility": 0.9999981206190738,
    "scalar_current_range": [
      4.487669567645039e-09,
      9.477901763866193
    ],
    "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
      }
    ],
    "array_key": "case_006"
  },
  "background_report": "experiments/results/saturated-projective-continuation-20260912T105221_399299Z.json",
  "background_report_sha256": "20a53a0fadccd7b437f3be65a70d7565f504c540e5a1bbb26d1fd50719876e12",
  "background_data_sha256": "6d5388f40089112d7eb47d2ef24e586a149d389ae413750734fa93c8230389a2",
  "source_sha256": {
    "saturated_projective_tracked_response.py": "fec388e09e614b6376087b59025b6d056f555bedeb6b3dea8863db07719b260f",
    "projective_jacobi_basis.py": "584b8a5c0e83390890416d756a7c918b272ce37f860a669ee49f959d1e7f9ee5",
    "saturated_projective_fields.py": "b4be73bdcdc1c5ade301fd0982f727b466ada2fb83d5a9416a230847387a6022",
    "cp3_scalar_dirac.py": "4b7477054fedd1aa14c1aba0eb67410ef8d5192c8943a0a8317f4df73ccb2d6d"
  },
  "raw_data": "experiments/results/saturated-projective-tracked-response-20260912T115017_722732Z.npz",
  "cases": [
    {
      "response_cutoff": 1500,
      "quadrature_order": 9500,
      "phase_projection_defect": 2.279715424101724e-09,
      "modes": [
        {
          "exponent": [
            0.022946955612697287,
            -463.22132743921196
          ],
          "compressed_residual": 2.461014218721009e-12,
          "differential_residual": 8.98806845708408e-06,
          "array_prefix": "cutoff_1500_mode_0"
        },
        {
          "exponent": [
            0.022946955612697287,
            463.22132743921196
          ],
          "compressed_residual": 2.461014218721009e-12,
          "differential_residual": 8.98806845708408e-06,
          "array_prefix": "cutoff_1500_mode_1"
        }
      ],
      "maximum_growth_among_targeted_modes": 0.022946955612697287,
      "target_oscillation": 463.22132744,
      "elapsed_seconds": 90.25024604005739
    },
    {
      "response_cutoff": 1900,
      "quadrature_order": 9500,
      "phase_projection_defect": 2.3287592560626316e-09,
      "modes": [
        {
          "exponent": [
            0.022946955612746345,
            -463.2213274392119
          ],
          "compressed_residual": 2.4634873463160204e-12,
          "differential_residual": 9.702526728089643e-08,
          "array_prefix": "cutoff_1900_mode_0"
        },
        {
          "exponent": [
            0.022946955612746345,
            463.2213274392119
          ],
          "compressed_residual": 2.4634873463160204e-12,
          "differential_residual": 9.702526728089643e-08,
          "array_prefix": "cutoff_1900_mode_1"
        }
      ],
      "maximum_growth_among_targeted_modes": 0.022946955612746345,
      "target_oscillation": 463.22132744,
      "elapsed_seconds": 96.56939031090587
    }
  ],
  "elapsed_seconds": 218.6645921538584,
  "original_background_report_sha256": "9894d389a0adff2503add939c008a0e0a6e7200427b893dc2c26e4031084da0f",
  "dataset": {
    "path": "experiments/results/saturated-projective-tracked-response-20260912T115017_722732Z.npz",
    "sha256": "877c314e39386a40fd4e013a8bb95b6b91fe20db86abf7a1fe6cc4c8372f8aa5"
  },
  "publication_provenance": {
    "original_report_sha256": "037f70c226c0c031b893c725e3908d31dd866d3ec76f74753d732e24255a23dd",
    "changes": "Local file locations are replaced with portable artifact references. Calculation values and source-code fingerprints are unchanged."
  }
}