{
  "snapshot_date": "2026-10-09",
  "record_kind": "edited_public_summary",
  "rh_status": "OPEN",
  "research_program": "B — fixed-statement ZFC independence",
  "program_decision": "RESEARCHER_CHOICE_TO_CONTINUE",
  "latest_completed_stage": "LOGIC-RH L7",
  "canonical_definition_version": "L2-D 1.0.0",
  "target_theory": "ZFC",
  "target_sentence": "rho_can",
  "b_obligations": {
    "I": {"statement": "Con(ZFC + NOT rho_can)", "status": "OPEN"},
    "II": {"statement": "Con(ZFC + rho_can)", "status": "OPEN"},
    "before": 2,
    "after": 2,
    "accounting_scope": "Research obligations, not a theorem of logical independence or universal minimality"
  },
  "finite_weil_route": {
    "status": "HOLD",
    "CAP": "OPEN",
    "PAR": "OPEN",
    "before": 2,
    "after": 2,
    "separate_from_b_accounting": true,
    "core_s_and_historical_results_preserved": true
  },
  "l7": {
    "arithmetic_normalization": "PROVED — USUAL ZFC MATHEMATICS",
    "one_step_conditions": "p < r primes; a,e,k >= 1; gcd(a,pr) = 1; R = a r^e; z = a p^e",
    "one_step_precision": "K = z(5R+7), K <= 12R^2",
    "one_step_conclusion": "q(z,K)/z < q(R,k)/R; V(R,k) implies V(z,K)",
    "normalized_class": "Initial-segment prime support; no ordering of exponents is required",
    "normalization_precision_bound": "k_* <= max(k,12n^2)",
    "finite_section_implication": "G_C(2m+4) implies G(m)",
    "proof_transfer": "Same full-strength L5 proof system P; arbitrary input proofs",
    "proof_length_upper_bound": "|tau_m(pi)| <= |pi| + A ell(m)^2 + B; fixed constants A,B not numerically measured",
    "global_violation_preservation_pa_certified": false,
    "hilbert_proof_strings_generated": false,
    "proof_transformer_implemented": false,
    "full_proof_system_lower_bound_obtained": false,
    "new_independence_bridge_obtained": false
  },
  "l6": {
    "external_theorem_adoption": "SCOPED EXTERNAL-THEOREM LEVEL",
    "zero_free_region": "Re(s) > 7/8 and s != 1",
    "remaining_closed_band": "[1/8,7/8]",
    "band_scope": "Nontrivial zeros only; trivial zeros and the pole are treated separately",
    "own_lean_or_comparator_execution": "NOT RUN",
    "evidence": "External kernel-check report, static comparison, local mathematical checks; not our own kernel rerun or full paper reproof"
  },
  "evidence_level": {
    "usual_mathematics_pa_zfc_internal_arguments": true,
    "internal_ai_audit": true,
    "finite_execution_checks_are_universal_proofs": false,
    "project_proofs_machine_verified": false,
    "external_peer_review_claimed": false,
    "academic_novelty_claimed": false
  },
  "new_rh_truth_or_independence_result": false,
  "new_mathematical_exploration_in_this_release": false,
  "l8_started": false,
  "cycle18_started": false,
  "new_full_research_originals_published": false,
  "new_internal_logs_or_definition_dag_published": false,
  "public_update": {
    "ja": "docs/ja/updates/2026-10-09-logic-rh-l7.md",
    "en": "docs/en/updates/2026-10-09-logic-rh-l7.md"
  }
}