{
  "schema": "apeiron-ap1-m1-log-amplitude-transport-pilot-v1.0",
  "updated_utc": "2026-09-02T19:10:05Z",
  "classification": "LOG_AMPLITUDE_TRANSPORT_PILOT_COMPLETE_TOLERANCE_FREEZE_OPEN",
  "authority_sha256": {
    "AP1/APEIRON_AP1_M1_JUNCTION_128_SEED_CHECKPOINT_LATEST.json": "cf946bfcde4c10a36d5eee99a18fe1a8745483e111304d52f4cc17b3fdf103b4",
    "AP1/APEIRON_AP1_M1_JUNCTION_128_SEED_LATEST.npz": "644126925fcff32df6f881ee604787751dbe48829072671bf541552bd65dc729",
    "AP1/APEIRON_AP1_M1_BACKGROUND_MULTISCALE_PREFLIGHT_LATEST.json": "c58ee0221e284dc9a5a892cae68b31138b4f3b9c7634f2570880e4f1086d0d60",
    "AP1/CODE/ap1_m1_background_multiscale_preflight.py": "1482b548881af15983b3887434b99713fe0547f3a1e23536e001b3e679b43488",
    "AP1/CODE/ap1_r2c_high_precision_modes.py": "3b76dc1bba339fc7576381661b7a0099501231154f45cf9bb2eba3db16f0d484",
    "AP1/CODE/chi_background_closure.py": "1097888c72fbe9152e1905a2a3ab37c15df9ca681639571b87d76de6ddf072a7",
    "AP1/CODE/ap1_m1_log_amplitude_transport_reference.py": "129cf197f08a178eab43c52a2fd9946d161945d16e19ff7f49cdf1d1b12ea523"
  },
  "seed_classification": "M1_JUNCTION_128_SEED_PASS_BACKGROUND_PILOT_OPEN",
  "config": {
    "pilot_endpoints_relative_N": [
      0.01,
      0.02,
      0.03
    ],
    "heldout_endpoints_relative_N": [
      0.065,
      0.08,
      0.1
    ],
    "pilot_mode_indices": [
      0,
      16,
      48,
      80,
      112,
      127
    ],
    "heldout_mode_indices": [
      1,
      8,
      32,
      64,
      96,
      126
    ],
    "coarse_step_N": 2.5e-05,
    "fine_step_N": 1.25e-05,
    "diagnostic_rtol": 2e-11,
    "riccati_loose_rtol": 5e-10,
    "riccati_fine_rtol": 2e-11,
    "decimal_low_digits": 60,
    "decimal_high_digits": 80
  },
  "predeclared_freeze_policy": {
    "comparison_multiplier": 64.0,
    "comparison_floor": 5e-05,
    "time_grid_multiplier": 64.0,
    "time_grid_floor": 5e-05,
    "rounding_multiplier": 64.0,
    "rounding_floor": 1e-13,
    "riccati_refinement_multiplier": 64.0,
    "riccati_refinement_floor": 1e-10,
    "chart_overlap_multiplier": 128.0,
    "chart_overlap_floor": 1e-09,
    "initial_seed_match_cap": 1e-12,
    "wronskian_relative_cap": 1e-11
  },
  "window_kind": "seed_anchored_nested_overlapping_prefixes",
  "pilot_windows": [
    {
      "endpoint_relative_N": 0.00999999999999801,
      "mode_indices": [
        0,
        16,
        48,
        80,
        112,
        127
      ],
      "mode_count_all_PV_sectors": 24,
      "seed_frequency_relative_error": 4.4338773698433223e-16,
      "physical_momentum_transport_relative_error": 1.2594818582176384e-16,
      "min_physical_sector_omega2_Mpl2": 5.825508911906727e-09,
      "physical_sector_tachyonic_sampled": false,
      "max_abs_log_amplitude_vs_decimal80": 1.3847593738347541e-08,
      "decimal_time_grid_relative_delta": 1.8713406971440516e-07,
      "decimal_60_to_80_relative_delta": 0.0,
      "riccati_loose_to_fine_log_amplitude_delta": 3.860758823748256e-09,
      "log_wronskian_identity_error": 1.7763568394002505e-15,
      "log_wronskian_relative_error": 1.776356839400252e-15,
      "reconstructed_wronskian_relative_error": 1.5543122344752192e-15,
      "decimal_wronskian_relative_error": 8.44e-78,
      "chart_overlap": {
        "max_abs_log_amplitude": 4.325444002972745e-09,
        "max_abs_riccati_real_scaled": 3.681659550166224e-07,
        "max_abs_log_riccati_imag": 8.65088800594549e-09,
        "max_abs_phase_wrapped": 5.190969432078418e-09,
        "state_reinitialized_at_handoff": false
      },
      "riccati_nfev": 2258
    },
    {
      "endpoint_relative_N": 0.020000000000003126,
      "mode_indices": [
        0,
        16,
        48,
        80,
        112,
        127
      ],
      "mode_count_all_PV_sectors": 24,
      "seed_frequency_relative_error": 4.4338773698433223e-16,
      "physical_momentum_transport_relative_error": 1.6639771603631397e-16,
      "min_physical_sector_omega2_Mpl2": 4.561810392345045e-09,
      "physical_sector_tachyonic_sampled": false,
      "max_abs_log_amplitude_vs_decimal80": 2.5178787055324392e-08,
      "decimal_time_grid_relative_delta": 2.6864588929380225e-07,
      "decimal_60_to_80_relative_delta": 0.0,
      "riccati_loose_to_fine_log_amplitude_delta": 1.4391185576556609e-08,
      "log_wronskian_identity_error": 1.7763568394002505e-15,
      "log_wronskian_relative_error": 1.776356839400252e-15,
      "reconstructed_wronskian_relative_error": 1.7763568394002505e-15,
      "decimal_wronskian_relative_error": 1.334e-77,
      "chart_overlap": {
        "max_abs_log_amplitude": 1.6931700486111367e-09,
        "max_abs_riccati_real_scaled": 2.516071419026206e-07,
        "max_abs_log_riccati_imag": 3.3863400972222735e-09,
        "max_abs_phase_wrapped": 1.5929018104543502e-09,
        "state_reinitialized_at_handoff": false
      },
      "riccati_nfev": 4178
    },
    {
      "endpoint_relative_N": 0.030000000000001137,
      "mode_indices": [
        0,
        16,
        48,
        80,
        112,
        127
      ],
      "mode_count_all_PV_sectors": 24,
      "seed_frequency_relative_error": 4.4338773698433223e-16,
      "physical_momentum_transport_relative_error": 2.257428634364901e-16,
      "min_physical_sector_omega2_Mpl2": 2.6318643453118987e-09,
      "physical_sector_tachyonic_sampled": false,
      "max_abs_log_amplitude_vs_decimal80": 4.2420904566853324e-08,
      "decimal_time_grid_relative_delta": 6.565345252833745e-07,
      "decimal_60_to_80_relative_delta": 0.0,
      "riccati_loose_to_fine_log_amplitude_delta": 2.1703860042521228e-08,
      "log_wronskian_identity_error": 1.7763568394002505e-15,
      "log_wronskian_relative_error": 1.776356839400252e-15,
      "reconstructed_wronskian_relative_error": 1.7763568394002505e-15,
      "decimal_wronskian_relative_error": 1.662e-77,
      "chart_overlap": {
        "max_abs_log_amplitude": 1.3978009860693419e-09,
        "max_abs_riccati_real_scaled": 5.735847001195958e-08,
        "max_abs_log_riccati_imag": 2.7956019721386838e-09,
        "max_abs_phase_wrapped": 4.592038749251515e-09,
        "state_reinitialized_at_handoff": false
      },
      "riccati_nfev": 6038
    }
  ],
  "pilot_aggregate": {
    "windows": 3,
    "max_seed_frequency_relative_error": 4.4338773698433223e-16,
    "max_physical_momentum_transport_relative_error": 2.257428634364901e-16,
    "max_abs_log_amplitude_vs_decimal80": 4.2420904566853324e-08,
    "max_decimal_time_grid_relative_delta": 6.565345252833745e-07,
    "max_decimal_60_to_80_relative_delta": 0.0,
    "max_riccati_refinement_log_amplitude_delta": 2.1703860042521228e-08,
    "max_chart_overlap_error": 3.681659550166224e-07,
    "max_reconstructed_wronskian_relative_error": 1.7763568394002505e-15,
    "max_log_wronskian_relative_error": 1.776356839400252e-15,
    "max_decimal_wronskian_relative_error": 1.662e-77,
    "tachyonic_windows": 0
  },
  "gates": {
    "chronology_safe_seed_hash_bound": true,
    "pilot_and_heldout_shells_disjoint": true,
    "pilot_windows_pre_tachyonic": true,
    "seed_frequency_map_below_predeclared_cap": true,
    "moving_momentum_map_below_predeclared_cap": true,
    "finite_pilot_metrics": true,
    "no_background_candidate_or_kernel": true
  },
  "all_pilot_gates_pass": true,
  "checkpoint_eligible": false,
  "heldout_evaluated": false,
  "new_AP1_M1_background_runs": 0,
  "diagnostic_envelope_integrations": 2,
  "trajectory_rows_persisted": 0,
  "background_candidate_assessed": false,
  "physical_response_kernel_started": false,
  "seed_released": false,
  "claim_boundary": "non-tachyonic numerical tolerance pilot only; not a checkpoint, background, physical mode history, kernel, curve, fit or significance",
  "next_required": "freeze pilot-derived tolerances before evaluating disjoint held-out momentum shells on the registered tachyonic prefixes"
}