{
  "schema": "apeiron-ap1-r2c-p42-bounded-method-diagnostic-v1.0",
  "updated_utc": "2026-09-02T08:45:54Z",
  "classification": "P42_NONPASS_DIAGNOSTIC_IMPROVED_SCALARS_ONLY",
  "source": "validated_41_PASS_only",
  "target_nodes": 42,
  "frozen_thresholds": {
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    "max_abs_friedmann_residual": 0.000001,
    "ward_normalized": 0.000002,
    "validation_source_relative_change": 0.0001,
    "validation_wronskian_relative_error": 1e-11
  },
  "method": {
    "lift": "endpoint_preserving_degree_2_3_bspline_extrapolation",
    "lift_beta": 3.0,
    "rho_chi_partial_projection_alpha": 0.0000175,
    "frozen_lobatto_sigma_alpha": 0.000002,
    "frozen_lobatto_sigma_dot_alpha": 0.000001,
    "frozen_lobatto_theta_dot_alpha": 0.000003,
    "algebraic_chi2_projection": "full_residual_verified",
    "equations_changed": false,
    "physics_changed": false,
    "gates_changed": false
  },
  "excluded_families": {
    "same_degree_two_parent_p_secant": {
      "candidate_count": 68,
      "best_dae_max_abs_scaled_residual": 0.001247501392604248,
      "best_degree": 3,
      "best_beta": 0.25
    },
    "single_block_endpoint_bspline_bank": {
      "candidate_count": 18,
      "best_dae_max_abs_scaled_residual": 0.0003152055646809344,
      "best_block": "theta_dot",
      "best_alternative": "degree_1_2_beta_3"
    },
    "five_coordinate_linearized_minimax": {
      "predicted_dae_max_abs_scaled_residual": 0.00030552295200521573,
      "verified_dae_max_abs_scaled_residual": 0.00032723965203140267,
      "accepted": false
    }
  },
  "repeated_full_diagnostics": {
    "repeats": 3,
    "dae_max_abs_scaled_residual": 0.0002981570089038665,
    "max_abs_friedmann_residual": 1.512764475823987e-16,
    "ward_normalized": 4.6404608962232175e-7,
    "validation_source_relative_change": 2.1148579406445302e-5,
    "validation_wronskian_relative_error": 4.4e-50,
    "junction_block": 2.3979111192095494e-5,
    "finite": true,
    "positive_H": true,
    "min_H": 8.312598005592009e-8,
    "min_PX": 1.8132335484729594,
    "min_K": 3.016188545394498,
    "gate_pass": {
      "dae_residual": false,
      "max_abs_friedmann_residual": true,
      "ward_normalized": true,
      "validation_source_relative_change": true,
      "validation_wronskian_relative_error": true,
      "structural": true
    }
  },
  "prior_p42_dae_max_abs_scaled_residual": 0.00044107284402342004,
  "diagnostic_reduction_factor": 0.6760006277743688,
  "accepted_as_checkpoint": false,
  "trial_vector_stored_or_used_as_seed": false,
  "highest_validated_p_level": 41,
  "production_curves_released": false,
  "next_action": "continue_conservative_DAE_p_method_extension_from_stored_41_PASS_only"
}