{
  "schema": "apeiron-ap1-m1-coupled-moving-split-background-checkpoint-v1.0",
  "updated_utc": "2026-09-02T20:41:03Z",
  "classification": "M1_BOUNDED_COUPLED_MOVING_SPLIT_BACKGROUND_REFERENCE_PASS_STAGED_LONG_EXTENSION_OPEN_PHYSICAL_KERNEL_BLOCKED",
  "authority_sha256": {
    "APEIRON_AP1_M1_COUPLED_MOVING_SPLIT_BACKGROUND_PILOT_20260902T203807Z.json": "ede9e6def57d7aa017b7883050ae33b181a6d30c7107d212b952cfdd7b8c0da7",
    "APEIRON_AP1_M1_COUPLED_MOVING_SPLIT_BACKGROUND_TOLERANCES_20260902T203822Z.json": "42aca6dd5678ba0a42219fdc21a2b813f5f96bb661792cb73dc50945a5bdefdb",
    "APEIRON_AP1_M1_COUPLED_MOVING_SPLIT_BACKGROUND_HELDOUT_20260902T204047Z.json": "ee69c4a0aa8916eec6d078b5c075974a999cea7a6c02447ef2fcd52e1fb0baaa",
    "AP1/CODE/ap1_m1_coupled_moving_split_background.py": "3b6f2b38d047db3cb9510af9c2c92ef9c80c2c1ca16c40212f7e7c354a76f400"
  },
  "frozen_thresholds": {
    "max_fixed_point_source_gross_relative_change": 1e-09,
    "max_background_time_relative_delta": 5.7012432733224805e-09,
    "max_source_time_gross_relative_delta": 1e-09,
    "max_entry_quadrature_gross_relative_delta": 1e-09,
    "max_tail_quadrature_gross_relative_delta": 1.4497629979941234e-07,
    "max_uv_cutoff_gross_relative_delta": 1e-09,
    "max_friedmann_normalized": 1.0366345369211621e-07,
    "max_raychaudhuri_normalized": 2.6566981349710417e-06,
    "ward_normalized": 0.003989384570549522,
    "standard_continuity_normalized": 4.736313950865028e-09
  },
  "heldout_metrics": {
    "max_fixed_point_source_gross_relative_change": 3.3559761085824485e-14,
    "max_background_time_relative_delta": 2.6432169114225527e-11,
    "max_source_time_gross_relative_delta": 4.98940422642082e-13,
    "max_entry_quadrature_gross_relative_delta": 4.982211935389994e-13,
    "max_tail_quadrature_gross_relative_delta": 2.2655579456434034e-09,
    "max_uv_cutoff_gross_relative_delta": 3.1874584981983385e-15,
    "max_friedmann_normalized": 4.084332555323538e-09,
    "max_raychaudhuri_normalized": 4.060343628689741e-09,
    "ward_normalized": 0.0008750230466406364,
    "standard_continuity_normalized": 1.480647176482192e-10
  },
  "heldout_physical_diagnostics": {
    "evaluation_start_N": 0.0125,
    "evaluation_nodes": 383,
    "all_background_values_finite": true,
    "positive_H": true,
    "min_total_density_Mpl4": 5.504967977668407e-13,
    "min_PX": 1.0523451240627972,
    "min_K": 1.052350229025336,
    "max_friedmann_normalized": 4.084332555323538e-09,
    "max_raychaudhuri_normalized": 4.060343628689741e-09,
    "ward_normalized": 0.0008750230466406364,
    "ward_evaluation": "resolved_bulk_mode_EOM_plus_direct_boundary_flux_plus_independently_differentiated_local_tail",
    "cancelled_total_finite_difference_ward_diagnostic_not_gated": 1.0,
    "max_boundary_direct_expanded_gross_relative_delta": 1.0073699918643361e-16,
    "standard_continuity_normalized": 1.480647176482192e-10,
    "junction_raychaudhuri_normalized": 1.2085015391362286e-08,
    "H_endpoint_Mpl": 4.283677526095023e-07,
    "delta_H_over_H": -0.0030799728213749544,
    "physical_N_endpoint": -56.952445940228785,
    "present_anchor_reached": false
  },
  "heldout_source_diagnostics": {
    "resolved": {
      "seed_modes": 128,
      "new_entry_quadrature_modes": 2048,
      "final_resolved_modes": 2176,
      "max_log_wronskian_identity_error": 1.6653345369377348e-15,
      "max_wronskian_relative_error": 1.6653345369377362e-15,
      "min_entry_omega2_Mpl2": 1.9089627631836227e-06,
      "min_entry_W_Mpl": 0.0013816521454581814,
      "max_abs_entry_W2_over_W0": 4.208775125334703e-08,
      "max_abs_entry_W4_over_W0": 3.888810169516684e-12,
      "max_handoff_state_relative_error": 1.5852335637476846e-16,
      "max_initial_handoff_wronskian_relative_error": 2.220446049250313e-16,
      "vacuum_resets": 0,
      "entry_measure": "q_cut^3*exp(3*N_entry)/(2*pi^2) dN_entry",
      "adiabatic_support_nodes": 1025,
      "adiabatic_momentum_support_nodes": 257,
      "max_local_to_independent_fixed_k_state_relative_delta": 5.6545989141382026e-11
    },
    "tail": {
      "nodes": 28,
      "segments": 7,
      "adiabatic_support_nodes": 1025,
      "adiabatic_momentum_support_nodes": 257,
      "K_over_Lambda": 64.0,
      "min_tail_omega2_Mpl2": 2.1013780259418203e-06,
      "min_tail_W_Mpl": 0.0014496130164454177,
      "max_abs_tail_W2_over_W0": 4.2769691726508956e-08,
      "max_abs_tail_W4_over_W0": 3.2835937275442935e-12,
      "max_last_octave_signed_to_gross_ratio": 2.0278283849231132e-10,
      "asymptotic_order12_rho_last_term_abs": 1.6364499347023695e-42,
      "max_boundary_direct_expanded_gross_relative_delta": 1.0073699918643361e-16,
      "max_local_to_independent_fixed_k_source_gross_relative_delta": 5.601966158302263e-10
    },
    "junction_pre_enforcement": {
      "rho": 4.032605172477843e-21,
      "pressure": 3.4737879969061896e-20,
      "chi2": -9.135450156542616e-16
    },
    "junction_stored": {
      "rho": 2.5653546520792134e-21,
      "pressure": 5.953926906537879e-21,
      "chi2": 1.76848777097136e-15
    },
    "junction_source_gross_relative_delta_by_source": {
      "rho": 6.163761590329816e-17,
      "pressure": 3.633510173738734e-15,
      "chi2": 1.225290478220961e-12
    },
    "max_junction_source_gross_relative_delta": 1.225290478220961e-12,
    "junction_values_enforced_exactly": true,
    "renormalization_constants_unchanged": true,
    "source_values_real": true,
    "source_values_finite": true
  },
  "heldout_precision": {
    "sample_points": [
      {
        "N_relative": 0.0125,
        "sources": {
          "rho": {
            "signed_decimal80": "-3.59456426E-21",
            "gross_abs_decimal80": "0.00002380446502262114960543574",
            "decimal_60_to_80_gross_relative_delta": 0.0,
            "float64_to_decimal80_gross_relative_delta": 5.1434453397719776e-17,
            "cancellation_ratio": 1.510037825502115e-16
          },
          "pressure": {
            "signed_decimal80": "-2.17245692E-19",
            "gross_abs_decimal80": "0.000007921803610138139045692",
            "decimal_60_to_80_gross_relative_delta": 0.0,
            "float64_to_decimal80_gross_relative_delta": 8.135374595139223e-18,
            "cancellation_ratio": 2.742376644151769e-14
          },
          "chi2": {
            "signed_decimal80": "2.993650526825E-11",
            "gross_abs_decimal80": "0.00218889574894498521175",
            "decimal_60_to_80_gross_relative_delta": 0.0,
            "float64_to_decimal80_gross_relative_delta": 1.1587582465827837e-17,
            "cancellation_ratio": 1.36765331481314e-08
          }
        }
      },
      {
        "N_relative": 0.01623046875,
        "sources": {
          "rho": {
            "signed_decimal80": "-1.34519838E-20",
            "gross_abs_decimal80": "0.0000238044645240289085480162",
            "decimal_60_to_80_gross_relative_delta": 0.0,
            "float64_to_decimal80_gross_relative_delta": 8.203741647137958e-18,
            "cancellation_ratio": 5.651033984159225e-16
          },
          "pressure": {
            "signed_decimal80": "-2.975062966E-20",
            "gross_abs_decimal80": "0.00000792180377550769355062966",
            "decimal_60_to_80_gross_relative_delta": 0.0,
            "float64_to_decimal80_gross_relative_delta": 3.7518372307995244e-17,
            "cancellation_ratio": 3.755537312345677e-15
          },
          "chi2": {
            "signed_decimal80": "4.920593529034E-11",
            "gross_abs_decimal80": "0.00218889592099675330966",
            "decimal_60_to_80_gross_relative_delta": 0.0,
            "float64_to_decimal80_gross_relative_delta": 8.526196618568089e-17,
            "cancellation_ratio": 2.2479796694916945e-08
          }
        }
      },
      {
        "N_relative": 0.0199609375,
        "sources": {
          "rho": {
            "signed_decimal80": "-2.92847781E-20",
            "gross_abs_decimal80": "0.0000238044639156506335152219",
            "decimal_60_to_80_gross_relative_delta": 0.0,
            "float64_to_decimal80_gross_relative_delta": 3.9697384523198645e-17,
            "cancellation_ratio": 1.230222121521764e-15
          },
          "pressure": {
            "signed_decimal80": "8.866866824E-20",
            "gross_abs_decimal80": "0.00000792180397728843213133176",
            "decimal_60_to_80_gross_relative_delta": 0.0,
            "float64_to_decimal80_gross_relative_delta": 4.506879121682169e-19,
            "cancellation_ratio": 1.1192989437028527e-14
          },
          "chi2": {
            "signed_decimal80": "7.320087639289E-11",
            "gross_abs_decimal80": "0.00218889613142985110711",
            "decimal_60_to_80_gross_relative_delta": 0.0,
            "float64_to_decimal80_gross_relative_delta": 2.2465424144122266e-17,
            "cancellation_ratio": 3.344191409624953e-08
          }
        }
      }
    ],
    "max_decimal_60_to_80_gross_relative_delta": 0.0,
    "max_float64_to_decimal80_gross_relative_delta": 8.526196618568089e-17,
    "min_PV_cancellation_ratio": 1.510037825502115e-16,
    "max_PV_cancellation_ratio": 3.344191409624953e-08
  },
  "gates": {
    "pilot_complete": true,
    "tolerances_frozen_before_heldout": true,
    "heldout_full_PASS": true,
    "only_PASS_promoted": true,
    "no_production_background_kernel_seed_or_observable": true
  },
  "all_checkpoint_gates_pass": true,
  "checkpoint_eligible": true,
  "new_AP1_M1_background_runs": 4,
  "bounded_background_candidate_assessed": true,
  "long_background_candidate_assessed": false,
  "bounded_background_tolerances_frozen": true,
  "production_background_tolerances_frozen": false,
  "trajectory_rows_persisted": 0,
  "physical_response_kernel_started": false,
  "seed_released": false,
  "nonpass_stored_or_used_as_seed": false,
  "equations_changed": false,
  "physics_changed": false,
  "parameters_changed": false,
  "existing_gate_thresholds_changed": false,
  "AP1_status": "ORANGE",
  "next_required": "extend the same coupled moving-split solver through staged logarithmic N windows; freeze production-background tolerances before any full candidate or physical response kernel",
  "claim_boundary": "bounded coupled background architecture reference only; no present anchor, production trajectory, response kernel, observable, curve, fit or significance"
}
