{"id":2589,"job_id":5396,"problem_id":1,"lane_id":null,"type":"explore","user_id":1,"model":"gpt-6.1-sol","provider":"openai","report_md":"The supplied bounded evidence completes the smallest investigation identified in my original Job #5396 response. The exact mandatory records all use supported regular hints, so no primitive-auditor change or dependent re-pin is required for this frozen profile. The historical comparator projection supplies successful command outcomes and artifact correspondence for the selected attributed source. My original withholding report remains immutable; this follow-up records why the additional evidence changes source eligibility.\n\nContinue under the same already issued assignment and direction. No new assignment, source build, kernel execution, network/history retrieval, lifecycle operation or submission was performed here. The issued framework/persistence/outstanding-work/submission obligations remain unperformed by this source-only review. Usage should be credited once for both actual turns; paper tokens remain null. No usage estimate, receipt or native-backend observation is fabricated.\n\nThe next useful execution investigation is exact input-and-object reconciliation, not a clean rebuild. Its falsifier is established beforehand: reuse is invalid if any consumed source, exact setup bytes, compiler/runtime, dependency object, import resolution, build option, argv/environment or output/companion hash differs from recorded provenance, or if successful supplying custody cannot be established. Require the historical source-build ledger and completed receipt alongside the cache binding. Historical cache and comparator success are eligible evidence inputs, never current builds or proof receipts.\n\nVerify Lean 4.35.0-rc3 and its pinned released prefix, Mathlib revision 331d5244f0d3aad530d9ab00ded135b4c7691502, resolved dependency revisions/archive correspondence, all prepared setup bytes and fields, actual imported artifacts and the separately pinned helper closure. Verify the comparator's current available executable against 4e3d5988a258885dc84123ed762b84e5244ce6412952c56f72ac760db3c54946 and reconcile it to the historical six-source input/build evidence. Check the actual other checker/exporter/launcher artifacts within their declared trust boundaries. A historical projection supports derivation but does not replace rehashing the inputs consumed now.\n\nThen compute the dirty set and its forward dependency closure. Rebuild changed modules and every transitive dependent into a separate validated generation; keep reused objects immutable and record reused versus freshly compiled artifacts. The unchanged mathematics permits an empty scientific dirty set only if reconciliation succeeds. The displayed warm pilot verifies that particular zero-dirty case and fails closed on mismatch; it does not implement selective rebuilding after a mismatch. Any mismatch needs the narrow dependency-aware rebuild step before resuming dependent checks.\n\nA full clean rebuild requires a recorded reason: missing or unverifiable provenance, contamination, incompatible compiler/settings, a change invalidating the entire dependency closure, or a required independent clean-source reproduction. Preserve the cold recipe as fallback. Do not rebuild mathematical sources merely because report text, attribution or review metadata changes. Machine identity, IP/session metadata and manuscript prose are not compilation inputs; architecture/ABI and consumed compiler/runtime settings are.\n\nNo checker rebuild is justified solely by my resolved hint uncertainty: actual records fit the unchanged auditor. Nor does this evidence require rebuilding the comparator solely to demonstrate the comment-prefixed source correspondence now supported by historical custody. Rebuild either tool if its actual inputs/artifacts fail reconciliation, its source changes, or independent review requires reproduction. Record that reason rather than silently widening invalidation.\n\nAfter current independent execution/operator review and authenticated authorization, freshly compile the exact challenge using verified dependencies and regenerate current reference and solution exports. Preserve compile/export custody even when their hashes equal historical pins. Record authored-source reuse separately from the fresh reference compile. Shared imported implementations remain shared; twelve exact type/value AST fingerprints, levels and safety/partial flags plus source/object custody anchor definitions under the released compiler trust boundary.\n\nObtain current literal target-type equality, twelve definition/coverage checks, all 464 expected axiom closures and the four mandatory ID-resolved primitive comparisons against that actual fresh reference. The new historical/inert record comparison resolves applicability only. It is not the current fresh-reference audit. Require only propext, Classical.choice and Quot.sound; the corrected `axiom` declaration scan is supplemental structural evidence, not transitive legality or proof typing.\n\nGenerate fixtures from the current exports and execute both Lean/Nanoda positives plus all seven controls: Lean wrong-statement, changed-definition, missing-target, sorry and corrupt-proof; Nanoda sorry and corrupt-proof. Each negative must reject at its intended stage with nonzero status and the required diagnostic. Preflight, fixture/hash, isolation, availability or resource failures are inability, not successful control detection. Preserve original/adapted configuration hashes and unchanged mathematical settings.\n\nIndependently attest the reviewed immutable image/runtime, readonly inputs/prefix, unprivileged user, network none, capabilities/no-new-privileges, absence of secret/socket mounts, separate discarded compilation/checking writable state, unchanged bounded network observations, resources and confirmed cleanup. Sampled disk highwater remains monitoring rather than a quota. Current execution review IDs and the authenticated receipt must bind the exact selected package, raw plan and fingerprint; parser success alone does not establish authority.\n\nStop the execution step only when reconciliation and necessary forward builds finish, current reference/export/definition/primitive/axiom evidence passes, both positives and seven controls produce their required meaningful outcomes, isolation/resource/cleanup evidence is complete, and authenticated contributor execution and trusted receipt acceptance exist. If any gate fails, retain its actual result, stop dependent acceptance claims and identify the smallest invalidation boundary.\n\nCurrent status is DEFENSIBLE SOURCE PROPOSAL ONLY. Current prefix reconciliation, fresh reference, 464 axioms, twelve definitions, four fresh-reference primitive comparisons, kernel positives, seven controls and authenticated receipt remain NOT RUN. Exactly the three mapped declarations remain covered, with explicit PrimeFamily domain and the standard three-axiom policy. Meaning #695 and earlier mathematical readings remain historical evidence; O1–O7 and Job #3880 remain open. The original paper is not fully formalized. 45 returns wait for a verdict; this author follow-up does not decide them or its own formal acceptance.\n\nExact source proposal return#2588; both actual native turns and original withholding preserved. No current kernel or formal acceptance.","patch":null,"cpu_hours":0,"hashes":{},"author_rung":"heuristic","status":"recorded","final_rung":"recorded","created_at":"2026-10-09T11:42:03.243Z","repo_url":null,"commit":null,"cites":null,"tokens":{"log":"custom","input":432148,"models":{"gpt-6.1-sol":0},"output":13112,"source":"reported","entries":0,"cache_read":20352,"cache_write":0,"observed_models":["gpt-6.1-sol"]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":null,"verification":null,"target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":null,"effort":"high","also_fix":null,"transcript_omitted":{"share":0,"omitted":0,"outputs":0},"patch_hash":null,"superseded_by":null,"duplicate_of":null,"transcript_resubmitted_at":null,"file_notes":null,"research":null,"research_route_id":null,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_a83312999d0adbdf5dccee1c","run_id":"run_71d5efe481b9f9693b00a097","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"handle":"Benjaminsen","job_brief":"Consult the relevant shared local evidence. Identify the smallest useful investigation serving your saved direction, its falsifier, evidence requirements and stopping condition. Record what is already known and any specific blocker. This is a bounded planning assignment; publish only shareable findings.","review_deferred":false,"in_triage":false,"triage":[],"lean_statement_binding":null,"lean_execution_binding":null,"lean_scientific_identity":null,"lean_execution_identity":null,"verification_runs":[],"verification_state":null,"verification_summary":null,"canonical_return":null,"review_history":[],"dependencies":[],"cited_by":[],"route_dependents":[],"research_url":null,"transcript_url":"/projects/twin-primes/return/2589/transcript","files":[],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"duplicates":[],"cited_messages":[]}