{
  "schema": "apeiron-ap1-r3-cm-counterterm-action-anchor-v1.0",
  "classification": "EXACT_CM_ACTION_ANCHOR_PASS_PHYSICAL_KERNEL_STILL_BLOCKED",
  "authority_sha256": {
    "response_spec": "457c9ec448df6b33d1e22fe09902088406934fb72518275cf1475911bfa7448d",
    "a3_requirements": "78d8045fbaac44bea942f7dd31f796ef729c2d740ae2627a6ea7981e0fb54f96",
    "canonical_homogeneous_spec": "9f9fa5454e7e298c7344a240db6672644335302f8459fb59c74c30bb82c897e4",
    "prior_local_variation_manifest": "c2cc5663524ccb2b3873dd85aeb3ecc95c254170a326e9c7213a998e9adf79c8"
  },
  "canonical_source_sha256": {
    "model.py": "db4c0fa9cf4f2013fef299f558ca7b6b509d17c1acbd76f84ece6bd2dd0c5a65",
    "frw_noncanonical_background_v6_6.py": "f96b13df83e6d6dce8f9bec073e2aab24c23660073cee994d25a327f2b61f7f1",
    "frw_pv_fixed_mpl_renorm_v6_17.py": "aecd4dc3202604228d1a46c1a4cb439b874e129314e55378e1fbb5b999df482d",
    "frw_pv_covariant_uv_complete_v6_22.py": "9c54b4095845687b9824dab66da91031436b67a5decd01055ef487b14b4c19b7",
    "frw_pv_uv_yoshida_v6_31.py": "8fa1b93a2f24377c751f3d9fdffe700394cdb2e00842fc4dc5f35d19ae3943e1"
  },
  "frozen_parameters": {
    "Lambda": 0.0023,
    "phase_scale": 0.8549468502440697,
    "displacement_v": 0.03272387838931097,
    "portal_lambda": 1.6740193604000272e-05,
    "bare_mass": 9.817951142008693e-05,
    "muR_over_Lambda": 1.5
  },
  "frozen_coefficient": {
    "C_chi2": 6.474904288744513e-08,
    "chi2_flat_raw": 6.474904288744513e-08,
    "coefficient_of_m_chi_squared_in_action": 3.2374521443722564e-08,
    "provenance": "hash-bound canonical flat-slice renormalization; not fitted and not newly chosen"
  },
  "exact_action_anchor": {
    "family_label": "portal_mass_c_m",
    "action": "S_ct,c_m = Integral d4x sqrt(-g) [+ C_chi2/2 * m_chi^2(sigma,theta)]",
    "equivalent_local_potential": "V_ct,c_m = - C_chi2/2 * m_chi^2(sigma,theta)",
    "variation_convention": "the convention used by the frozen background equations: -1/2 m_chi2_,A <chi2>_ren on the field-equation RHS",
    "free_parameter_added": false,
    "state_dependent": false
  },
  "local_second_variations": {
    "metric_stress<-metric": "delta[(C_chi2/2) m_chi^2 g_mu_nu]/delta g_rho_sigma",
    "metric_stress<-sigma": "+(C_chi2/2) m_chi2_,sigma g_mu_nu delta4",
    "metric_stress<-theta": "+(C_chi2/2) m_chi2_,theta g_mu_nu delta4",
    "sigma_portal<-metric": "metric-volume variation of +(C_chi2/2) m_chi2_,sigma",
    "theta_portal<-metric": "metric-volume variation of +(C_chi2/2) m_chi2_,theta",
    "sigma_portal<-sigma": "+(C_chi2/2) m_chi2_,sigma_sigma delta4",
    "sigma_portal<-theta": "+(C_chi2/2) m_chi2_,sigma_theta delta4",
    "theta_portal<-sigma": "+(C_chi2/2) m_chi2_,theta_sigma delta4",
    "theta_portal<-theta": "+(C_chi2/2) m_chi2_,theta_theta delta4"
  },
  "reference_slice_reproduction": {
    "mass2": 6.299671105857311e-09,
    "rho_shift": -2.0394883730497695e-16,
    "pressure_shift": 2.0394883730497695e-16,
    "chi2_shift": -6.474904288744513e-08,
    "rho_plus_pressure": 0.0,
    "runtime_rho_shift_match": true,
    "runtime_pressure_shift_match": true,
    "runtime_chi2_shift_match": true,
    "local_Ward_form": "nabla^mu T_ct,mu_nu - J_ct,sigma partial_nu sigma - J_ct,theta partial_nu theta = 0"
  },
  "derivative_audit": {
    "sample_count": 3,
    "max_first_derivative_relative_error": 3.015229903950977e-11,
    "max_pure_second_derivative_relative_error": 1.7040960094387542e-08,
    "max_mixed_second_derivative_relative_error": 3.648593168625874e-08,
    "analytic_mixed_Hessian_symmetry_exact": true
  },
  "flat_calibration": {
    "pass": true,
    "gates": {
      "minkowski_rho_zero": true,
      "minkowski_pressure_zero": true,
      "minkowski_chi2_zero": true,
      "curvature_response_covariant": true,
      "newton_shift_small": true
    }
  },
  "physical_kernel_ready": false,
  "remaining_blockers": [
    "new_AP1_M1_background",
    "component_and_gauge_invariant_scalar_projection",
    "pilot_derived_physical_tolerances_frozen_in_advance"
  ],
  "claim_boundary": "exact local c_m action anchor only; no physical unequal-time kernel, Ward result, observable, fit, or significance",
  "validation": {
    "status": "PASS_FAIL_CLOSED",
    "gates": {
      "canonical_hashes_exact": true,
      "runtime_triplet_reproduced": true,
      "first_variations_match": true,
      "pure_second_variations_match": true,
      "mixed_second_variation_matches": true,
      "portal_Hessian_symmetric": true,
      "flat_renormalization_still_passes": true,
      "no_new_parameter": true,
      "physical_kernel_still_blocked": true
    },
    "all_pass": true
  }
}