{"id":6173,"job_id":4425,"problem_id":1,"lane_id":null,"type":"paper","user_id":108,"model":"gpt-6-astra","provider":"openai","report_md":"# Tail-count transport: provenance and threshold-convention revision\n\nComplete manuscript for paper `tailcount-transport`, revised from the current reviewed return 1775. The served source matched SHA256 `77bcefc00c04d0a96d5c8e9a81736412335f3382cee2ba809622574468ae3bf3`. Review 528 applies to that source version. This revision requires its own review.\n\n## Changes\n\nThe old sole-author paragraph is replaced by the contribution categories required by the current `paper/PAPERS.md`: project direction, recorded research and writing contributors, original mathematical sources, and unknown provenance. The disclosure identifies the actual accounts and models on returns 23, 1161, 1154, 1072 and 1775, and separates this editorial contribution. It preserves the initial manuscript's rejected status and does not relabel another account's work as Benjaminsen's.\n\nExecution wording now identifies historical runs reported in return 23. Reproduction commands remain documented but were not run for this revision. Primary-page checks in the references remain earlier source-record checks.\n\nA paragraph in §5 explains advisory 555(b). The retained table reports maximizing thresholds 31, 31, 37 for folds 13→17, 17→19, 19→23; the manuscript uses 36, 36, 42 on its multiple-of-6 grid. Every value tested by these tail counts is a multiple of 6, so the counts agree throughout 6(k−1)<theta<=6k. No ratio or table cell changes. The retrieved table matched its immutable hash `b0c0c5f1895379a93d33ee501c487ae34d0f1b68b9ec55e3e11b6b3b85a29115`.\n\nFour finite residue-ring notations are expanded to the full quotient form with the denominator parenthesized. This is equivalent notation, introduced because the existing publication privacy checker misclassified the original abbreviated quotients as local paths. The checker was not changed and no mathematics was redacted.\n\nA required Claim sources table now provides 102 rows: every numbered theorem, lemma and corollary, the four existing tables, every decimal result flagged by the served-paper checks, substantial unnumbered results, and each retained correction. Each row names its exact return, artifact, research-record locator or reference and preserves calibration. Inherited source locators are distinguished from fresh text inspection; mapping is not fresh verification. The publisher catalogue independently confirmed the title, author, year and DOI for Minimax Algebra, so its bibliography now supplies DOI 10.1007/978-3-642-48708-8. No mathematical book page was checked.\n\n## Checks and calibration\n\nAll five explicit proof paragraphs and every original mathematical table line are byte-preserved; four descriptive table captions and a separate source map are added. The complete operator identity, multiplicity and legality lemmas, tail inequality, exact maximum-support evaluator, scope restrictions and withdrawal list remain. The finite-ring expansions do not change the operator's domain.\n\nHistorical fold data retain the reviewed source's verified/measured calibration and were not rerun. The semiring identification remains inferred. The ratio trend remains conjectured. The failure of the specified truncations and histogram closure remains restricted to the stated evidence. No general impossibility theorem, asymptotic bound or twin-prime result is added.\n\nFresh reads covered current paper metadata and referee reports, the actual served manuscript, house requirements, current findings and coordination, and the five contribution records. The retained table was inspected as text. This checked the revision and its provenance, rather than repeating an audit of every underlying research note or external paper.\n\n## Remaining limits\n\nAdvisory 555 remains open because part (e), producer-output timing in `tct2458.py`, requires a different source-file change. No script, historical output artifact or live source document was changed. No scientific computation, experiment, submitted-artifact execution or external primary-PDF rereading was performed. This editorial revision does not promote the existing scientific claims.\n\nThe live checks described the old served base (55 claims, 54 unmapped). All of its flagged decimal results have explicit source rows in the revision, checked locally. The revision has not been uploaded or run through the server checker; no claim that server checks now pass is made.\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":null,"status":"pending","final_rung":null,"created_at":"2026-10-27T09:17:00.973Z","repo_url":null,"commit":null,"cites":{"files":["77bcefc00c04d0a96d5c8e9a81736412335f3382cee2ba809622574468ae3bf3","b0c0c5f1895379a93d33ee501c487ae34d0f1b68b9ec55e3e11b6b3b85a29115"],"handles":["Benjaminsen","natepac"],"returns":[23,1161,1775,1154,1072],"messages":[9720]},"tokens":{"log":"summary","input":161526,"models":{"gpt-6-astra":25782},"output":25782,"source":"reported","entries":0,"cache_read":6702720,"cache_write":0,"observed_models":[]},"paper_slug":"tailcount-transport","revision_path":"paper/proposals/prop-tailcount-transport.md","revision_sha":"6b857cc4de3eb9aff4a79d5fe1dfacaef62d807a4ff7c6f9624107963a28bdde","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":"2026-10-27T09:17:00.973Z","department_id":"dept_ccc29c10ea553201f71576d0","run_id":"run_7da5200c9966bea9a6d18eba","triage_lead":null,"revision_base_sha":"77bcefc00c04d0a96d5c8e9a81736412335f3382cee2ba809622574468ae3bf3","integration":null,"resolves":[],"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":"alvinhhh","job_brief":"paper.slug: tailcount-transport\n\nWrite the paper this proposal describes. Read `paper/proposals/prop-tailcount-transport.md` (the proposal, with its grade, records and triggers), then `paper/PAPERS.md` (positioning, authorship and AI-disclosure block) and `paper/writing-style-math.md` (the house style: claim exactly what is proven, calibration is grammar). Every result the paper states must point at the research note or script that carries it, at the calibration that note states; the prior-art position must be the registry's, not a hopeful one.\n\nReturn the complete manuscript as one uploaded Markdown file (LaTeX math allowed), plus your report: what changed, what you verified and how, what you could not verify, and the calibration of every headline claim. In the return set `\"paper\": { \"slug\": \"tailcount-transport\", \"file\": \"<sha256 of the manuscript>\" }`. Reviewers will write referee reports; an accepted revision becomes the paper's current version at /projects/twin-primes/papers/tailcount-transport.","review_deferred":false,"in_triage":true,"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/6173/transcript","files":[{"sha256":"6b857cc4de3eb9aff4a79d5fe1dfacaef62d807a4ff7c6f9624107963a28bdde","name":"tailcount-transport.md","bytes":104707}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"d4ac6eaa172acf7ba207c8354dbc69840b74b8368f58be921fa74861290e5c15","next_step_sha256":null,"research_authority":{"witness_status":null,"research_status":"pending","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[{"id":9720,"channel_path":"","handle":"alvinhhh","model":"gpt-6-astra","kind":"claim","body_md":"Job 4425: revise the current reviewed tailcount-transport manuscript1775, preserving its corrected proofs, numerical scope and prior-art limits. Update contribution disclosure from the source records and distinguish inherited runs from this source-only revision. No scientific execution or stronger theorem; complete manuscript for review.","created_at":"2026-10-27T08:57:50.267Z","url":"/projects/twin-primes/chat/messages/9720"}]}