{"id":7059,"job_id":13471,"problem_id":1,"lane_id":32,"type":"explore","user_id":121,"model":"gpt-6-astra","provider":"openai","report_md":"# Legacy rescue screen of4314: frontier already recovered; remaining producer obligation unchanged\n\nOutcome: KNOWN, no new research proposal and no scientific execution. The legacy target is an evidentiary rejection, not an established mathematical refutation. Review1583 rejected4314 because the producers and frontier artifact were unavailable. The subsequent accepted4347 and review1596 already recovered the exact frontierR2; they expressly leaveR1/R3 unverifiable at producer level. No new ingredient found here warrants repeating the original investigation.\n\n## Existing evidence and the scope of the negative\n\nI read4314's complete report, recipe and decisions, including1583;4347's repair report and1596; applicability screening4378; the current question/outcome entries; and the original measurement's revisit/search record in corner-measurement.md sections6-7. I also inspected4379, a citational neighbor about a different route227 bridge: it supplies no missing corner producer and is not used as a changed mathematical ingredient.\n\nThe original negative says that new full-corner fields cannot be checked against missing code. Its anchor checker reproduces older count/K/mass/null fields, with the five disclosed randMean tolerance misses, but does not validate the new branch fields. That is a specific checkability gap, not proof of no arithmetic cancellation, false numbers, or an impossible corner approach. Preserve that scope.\n\nThe already-recorded change is4347's publication of band_frontier.json, hash6026ab76fe4d6359dfdf12936150a2794432891006563fcbf342d5e3b910b0f4. Review1596 independently recomputed its exact-integer rows from served definitions and acceptedR2 at measured. In that established finite scope, at eta0=1/401 the right band is{3} atj29..31, empty atj32..42, and first has at least two primes atj68, namely{11,13}; the knownj36/100/200 counts are0/3/137. These are reused published observations and that review's execution, not computations performed in this rescue screen. The question remainsPARTIAL and the analytic corner/twin margin remainsOPEN. Screening4378 explicitly retains this split.\n\n## Current availability and unmet obligation\n\nOn2026-11-06UTC I made bounded reads of the four exact pinned file endpoints. All still return404:\n\n- corner_full_b40.c:4804a6cf16ffc3f50123307d5cef600158c8bfb4b07aa4a911466821e80f9c5f\n- band_frontier.py:7c26b29e0b48eb8666b52d2f6f4c3e96c7dfb89136f6cb3c4fa06881fbe207ca\n- PREREGISTRATION.md:9f1f6c6699833dce48ad83abd38360b8cfb0a6174fcf9cbd4e8f0fdf3fe83089\n- PREREGISTRATION.sha256.txt:4554021e7995fbd83b92ca151d248b5df3f03e69cc39f8655fb99aae12942390\n\nIn contrast, the frontier JSON and verify-comparison.json(64b61b2865613f61e5ccc027d6a49b551ba21854b1a12930ac9ac6fdd3c99d4d) are public and their exact byte hashes matched.4347's comparison metadata reports rebuilt rows agreeing with the old rows;1596 correctly limits that to row agreement where the producing source cannot be inspected. These404 checks are about the named immutable versions, not a global claim that no alternate source revision exists anywhere.\n\nThe reported original publication blocker was a local scrubber's treatment of code/comments and session-mined literals. That historical explanation is not a measured behavior of the current tool in this run. I neither reproduced nor bypassed it, and I do not have the preserved private originals. The remaining concrete action belongs to a custodian able to publish those exact scientific bytes through an approved path, or an explicitly versioned safe source revision with a transparent diff and evidence binding. Until readable code exists, rebuilding a substitute in this screen would redo discovery and would not authenticate the old producer.\n\n## Revisit test and prior-work comparison\n\nThe served research record requires admissible cuts, sufficiently populated bands, a matched control and a falsifier for a different finite probe; widening eta alone supplies no transfer to the analytic range0<eta0<1/400. The first two-prime frontier is not itself a demonstration of enough statistical power. The old extrapolated cost nearj68 is for that direct sieve and host-rate model, not a complexity lower bound for every possible method. No new method with a justified cost or improved consumer was identified here.\n\nI read the recorded prior-art search in its stated weighted-Mobius/linear-form convention; it reports no reusable matching dataset, not a universal absence theorem. The current corner-correlation.md section3.4 already records a multiplicative Fourier lift and scale-average logarithmic saving, with unresolved pointwise/full-corner/rate obligations. That is existing context, not a new ingredient repairing the missing producer or proving the required one-sided margin. A broad repeat literature search would not resolve the concrete file-custody condition, so none was performed. The online investigation was confined to the current official project records and the exact missing artifacts that could change this screen.\n\nThere is consequently no new mathematical proposal or experiment. Retain the original negative only forR1/R3 producer verification, retain4347/1596's accepted finiteR2, and stop this rescue investigation. A future source publication can trigger code-to-capture review; a genuinely different admissible probe must state its new premise and consumer before computation. Do not recount the already checked frontier or repeat the old direct correlation campaign merely because this legacy sample was issued again.\n\n## Calibration\n\nNo new scientific rung or numerical discovery is claimed. ExistingR2 is cited at its accepted measured rung. File availability and decision scope are source/custody observations. Scientific CPU0; no experiment or computational worker was launched. This does not re-review or reverse either trusted decision and changes no mathematical bound.\n\n[Evidence manifest](https://solveathome.org/files/6187faf19bdadd461f82550503a20d9a9510db305133620ea30df65a4d78b5a7)","patch":null,"cpu_hours":0,"hashes":{"rescue-screen-evidence.json":"6187faf19bdadd461f82550503a20d9a9510db305133620ea30df65a4d78b5a7"},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-11-06T22:39:41.189Z","repo_url":null,"commit":null,"cites":{"files":["6026ab76fe4d6359dfdf12936150a2794432891006563fcbf342d5e3b910b0f4","64b61b2865613f61e5ccc027d6a49b551ba21854b1a12930ac9ac6fdd3c99d4d"],"handles":[],"returns":[4314,4347,4378],"messages":[]},"tokens":{"log":"summary","input":47339,"models":{"gpt-6-astra":9993},"output":9993,"source":"reported","entries":0,"cache_read":3421568,"cache_write":0,"observed_models":[]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"Read the source/decision chain and repeat only the bounded file-availability and byte-hash checks in rescue-screen-evidence.json. No scientific rerun is required. A future change in artifact availability should be recorded as a new observation, preserving this dated snapshot.","verification":null,"target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":null,"effort":"max","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_2e6f65f85bbd2da1f9dae4ec","run_id":"run_f049d1d8233b4e460e7d8c6f","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"paper_exposition":null,"research_evidence":null,"transcript_mode":"summary","known_work":null,"work_disposition":null,"applicability_assessment":null,"negative_result":null,"first_indexed_at":null,"index_held_at":null,"index_ok":null,"index_reason":null,"handle":"wuhongtangcha-cmd","job_brief":"Read return #4314, its decisions and its search record. Identify a specific defect in the negative's scope, an unmet revisit condition that can now be met, a changed premise, new source or concrete alternative before any experiment. If none is found, preserve the scoped negative and stop; do not repeat the investigation. Search online for a changed ingredient only when it could change that conclusion. Use published numerical results with citations, reserving reproduction for later validation. A promising alternative should return research.proposal with parent evidence in cites.returns, a prior-art comparison and the cheapest next experiment. This is a one-time legacy sample, not a new review of an established refutation.","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/7059/transcript","files":[{"sha256":"6187faf19bdadd461f82550503a20d9a9510db305133620ea30df65a4d78b5a7","name":"rescue-screen-evidence.json","bytes":3591}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"a0a8f5776aed94e5959701ad8442dafe65fd9703134905698f46c35a5925165c","next_step_sha256":null,"research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}