{
  "schema": "apeiron-ap1-r3-cm-counterterm-checkpoint-v1.0",
  "updated_utc": "2026-09-02T16:59:29Z",
  "classification": "EXACT_CM_ACTION_ANCHOR_PASS_M1_BACKGROUND_AND_PHYSICAL_KERNEL_BLOCKED",
  "atomic_state": "AP1_R3_CM_COUNTERTERM_ACTION_ANCHOR_PASS_M1_BACKGROUND_AND_PHYSICAL_KERNEL_BLOCKED",
  "gate": {
    "id": "AP1-G24",
    "status": "PASS_ACTION_ANCHOR_ONLY",
    "color": "GREEN"
  },
  "frozen_prerequisites": {
    "ame_version": "v7.13",
    "M1_frozen": true,
    "G22": "PASS",
    "response_spec_sha256": "457c9ec448df6b33d1e22fe09902088406934fb72518275cf1475911bfa7448d",
    "a3_requirements_sha256": "78d8045fbaac44bea942f7dd31f796ef729c2d740ae2627a6ea7981e0fb54f96",
    "canonical_homogeneous_spec_sha256": "9f9fa5454e7e298c7344a240db6672644335302f8459fb59c74c30bb82c897e4",
    "nonpass_used_as_seed": false
  },
  "exact_action_anchor": {
    "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)",
    "C_chi2": 6.474904288744513e-8,
    "coefficient_of_m_chi_squared_in_action": 3.2374521443722564e-8,
    "provenance": "hash-bound canonical flat-slice renormalization; not fitted and not newly chosen",
    "free_parameter_added": false,
    "state_dependent": false
  },
  "reference_slice_reproduction": {
    "rho_shift": -2.0394883730497695e-16,
    "pressure_shift": 2.0394883730497695e-16,
    "chi2_shift": -6.474904288744513e-8,
    "rho_plus_pressure": 0.0,
    "runtime_triplet_reproduced": true
  },
  "derivative_audit": {
    "max_first_derivative_relative_error": 3.015229903950977e-11,
    "max_pure_second_derivative_relative_error": 1.7040960094387542e-8,
    "max_mixed_second_derivative_relative_error": 3.648593168625874e-8,
    "analytic_mixed_Hessian_symmetry_exact": true
  },
  "tests": {
    "new": {
      "passed": 12,
      "total": 12
    },
    "R3_executed_together": {
      "passed": 40,
      "total": 40
    },
    "project_registered": {
      "passed": 118,
      "total": 118
    }
  },
  "artifact_sha256": {
    "anchor_report_latest": "fb9ce1d4704a34fa2c68dfc92c1bb4319b51a61f9394b14f4f995f80558f3bed",
    "local_variation_manifest_latest": "92c14c8bd70e18ab18ea4b555ed2ec232cded46d7bfcca087b57090209ad07a2",
    "anchor_code": "0eaf0dca55ecd9a4c02a86dd46bd8fe0f0aeabe73514f713ccf07bce12a10b66",
    "anchor_tests": "45c87f12e379911740cc9a1030adce49f5ae306b9273a0ee6f0ef303b46db72e",
    "manifest_code": "0bbd1931f38de8e2e552babeed9f7f370990a6d9153a5bb48eedc17d279ac3c1",
    "manifest_tests": "b9847ffd0ef9d54e1d1418f01d1226d6f33b1a0345b42425e94cf00812e95291"
  },
  "fail_closed_holds": {
    "new_AP1_M1_background": "NOT_COMPUTED",
    "component_and_gauge_invariant_scalar_projection": "NOT_COMPLETED",
    "physical_gate_thresholds_frozen": false,
    "physical_Ward_UV_regulator_and_convergence_gates": "NOT_EXECUTED",
    "physical_kernel_computed": false,
    "production_curves_released": false
  },
  "equations_changed": false,
  "physics_changed": false,
  "parameters_changed": false,
  "gate_thresholds_changed": false,
  "classification_after_checkpoint": "ORANGE",
  "next_required": "implement and solve the new AP1-M1 N-parameterized boundary problem; then freeze pilot-derived physical tolerances before any physical response-kernel run",
  "claim_boundary": "exact local c_m action and variation anchor only; no physical background evaluation, renormalized physical response kernel, physical Ward/UV/stability result, observable, fit, significance or empirical confirmation"
}