Official Web Report: Experimental Gate Status (2026-05-13)

Title hygiene · 2026-09-08. “Experimental closure” on this 2026-05-13 note means frozen hard-gate engineering status. The same page records closure_level_statement_allowed = false. This is not theorem-level closure, not cosmogenesis payment, and not a live 2026-09 status board.

1) Scope

This report summarizes the current experimental closure status of the theorem-result engineering programme under frozen governance and machine-readable locks. It focuses on what has been passed at the hard-gate truth layer, and what remains outside theorem-level closure language.

2) Machine-Readable Status Anchor

SSOT lock file: 05_Core_Source_Code/GO/07_Theorem_Breakthrough_Programme/00_LOCKS/THEOREM_CLAIM_HARD_GATES_STATUS_20260511.json
Governance version: V7_20260512
Current aggregate status:
- theorem_claim_readiness.all_relevant_hard_gates_pass = true
- closure_level_statement_allowed = false
- claim_boundary.claim_tier_upgrade_allowed = false

3) Experimental Closure Achieved (Truth-Gate Layer)

Under frozen definitions and archived run artifacts, the hard-gate truth layer is closed at the programme aggregate level:

T1: principal engineering gates are passed (existence, minimality_uniqueness, stability_gate_ge_95pct, bootstrap_robustness)
T2: Stage-B, cross-seed/schedule robustness, and external-rerun metric-match gates are passed
T3: scoped non-tautology/finite-N, holdout perturbation, and clean-dir independent replay gates are passed
T4: expanded necessity-winner stability and competitor-failure consistency gates are passed

4) Boundary That Remains Binding

The programme does not claim theorem-level mathematical closure in this report.

Theorem-grade evidence engineering has reached closure at the truth-gate layer.
Closure-language authorization remains separately restricted (closure_level_statement_allowed = false).

truth-gate closure = achieved
theorem-level closure language = not authorized

5) Core Evidence Bundle (Representative)

.../THEOREM_CLAIM_HARD_GATES_STATUS_20260511.json
.../output/runs/20260512_audit_order9_hard_gates_checklist_roll_v49_post_truth_first_governance_v7/HARD_GATES_CHECKLIST_AUDIT_ORDER9_ALIGN_20260512.json
.../output/runs/20260512_t1_n21_bootstrap_ci_explore_dpt500_v1/T1_N21_STABILITY_BOOTSTRAP_CI_SUMMARY_20260512T071647Z.json
.../output/runs/20260512_t1_uniqueness_nsweep_n17to26_seed2026051222_dpn512_confirm_v1/T1_UNIQUENESS_STRICT_SUMMARY_20260512T082929Z.json
.../output/runs/20260512_t1_uniqueness_nsweep_n17to26_seed2026051227_dpn512_batch_v1/T1_UNIQUENESS_STRICT_SUMMARY_20260512T083144Z.json
.../output/runs/20260512_t2_r2a_stageb_confirmatory_mainline_push_v9/T2_R2A_STAGEB_CONFIRMATORY_SUMMARY_20260512T144847Z.json
.../output/runs/20260512_t2_r2a_cross_seed_schedule_robustness_mainline_push_v9/T2_R2A_CROSS_SEED_SCHEDULE_SUMMARY_20260512T152808Z.json
.../output/runs/20260512_t3_audit_order7_scoped_confirm_v1/T3_AUDIT_ORDER7_SCOPED_CONFIRM_SUMMARY_20260511T164125Z.json
.../output/runs/20260512_t3_holdout_hr1_prereg_exec_v1/T3_HOLDOUT_HR1_PREREG_MANIFEST.json
.../output/runs/20260512_t3_holdout_hr1_clean_dir_replay_v1/T3_HOLDOUT_HR1_CLEAN_DIR_REPLAY_SUMMARY_20260512T032442Z.json
.../output/runs/20260512_t4_audit_order6_expanded_confirm_v2/T4_AUDIT_ORDER6_EXPANDED_CONFIRM_SUMMARY_20260511T163834Z.json

6) Public Statement (Recommended One-Line Version)

Under governance V7_20260512, the machine-readable hard truth-gates are passed (all_relevant_hard_gates_pass=true) with archived reproducible evidence, while theorem-level closure language remains separately restricted (closure_level_statement_allowed=false).

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