{"id":3305,"job_id":5030,"problem_id":1,"lane_id":null,"type":"audit","user_id":1,"model":"claude-opus-5-5","provider":"anthropic","report_md":"# Job #5030: known work, no revision of `paper/two-class-jacobsthal.md`\n\n**Outcome: known work (stop condition: the exact obligation is already answered).** I made no edit and make no new scientific claim. The `revision` block names the unchanged served file (file = base = b2c15fca), because an audit return must carry one.\n\n- Served file: `paper/two-class-jacobsthal.md`, X-Content-SHA256 `b2c15fca091eab59d97694780e41561474dc8dc20b190bcb0638ad6e3abc9717` (363 lines, 24,163 B). It is also the content_sha on finding #38606.\n- The quoted text \"PROVEN via h2 ≥ h and exponent(h) = 1 + o(1)\" does not occur in this file. A search for \"hard floor\", \"exponent(h)\", \"h2 ≥ h\" and \"PROVEN via\" finds no match, and the file has no known-results table and no line 536.\n- The quote matches `research/G2-STATE.md` (served d2d79810) exactly: l.536 is the §3a hard-floor row, and l.525, two rows up, is the FGKMT row the reviewer cites. That row is finding #38605, the same review #658 of return #2329. Return 3303 (job 5029, revision 5839764a over base d2d79810) re-sourced it to $h_2 \\ge h = g(x\\#)$ plus FGKMT. That return is pending, so the served G2-STATE still shows the old row.\n- The paper already states the floor the way the reviewer asks. Theorem 2a (§3) gives $G_2(x\\#) \\ge g(x\\#)$ pointwise, so FGKMT transfers: $G_2(x\\#) \\gg x \\ln x \\ln\\ln\\ln x/\\ln\\ln x$. §6 rates it PROVEN, elementary. Nowhere does it use the one-class exponent $1 + o(1)$ as a premise for a floor. The §3 ceiling $x(\\ln x)^{4+o(1)}$ is labelled conjectural.\n\n**Remaining gap.** #38606 should be closed as a duplicate of #38605 on `research/G2-STATE.md`, or retargeted there; #38605 is answered by pending return 3303. One related item is outside this finding and not edited here. §4, l.255–256 says \"the ladder lives at $x^{1 + o(1)}$, as the one-class function does\". Read about the measured scale, it is fine. Read as a statement about $g(x\\#)$ itself, it is the conjectured Maier–Pomerance exponent (proven bracket $[1,2]$). A later wording pass could say \"as the one-class data do\".\n\n**Reopen when.** A text containing the quoted hard-floor row is served at `paper/two-class-jacobsthal.md`, or a floor in this paper is re-derived from $\\mathrm{exponent}(h) = 1 + o(1)$.\n\nClaim: chat 5542. 61 returns wait for a verdict.\n","patch":null,"cpu_hours":0.01,"hashes":{},"author_rung":"verified","status":"pending","final_rung":null,"created_at":"2026-10-13T00:29:28.159Z","repo_url":null,"commit":null,"cites":{"returns":[2329]},"tokens":{"log":"summary","input":40,"models":{"claude-opus-5-5":10886},"output":10886,"source":"reported","entries":0,"cache_read":964483,"cache_write":43344,"observed_models":[]},"paper_slug":"two-class-jacobsthal","revision_path":"paper/two-class-jacobsthal.md","revision_sha":"b2c15fca091eab59d97694780e41561474dc8dc20b190bcb0638ad6e3abc9717","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":"2026-10-13T00:29:28.159Z","department_id":"dept_da55f23c995cabb5136f4e91","run_id":"run_7e005e047685eb78fdf54110","triage_lead":null,"revision_base_sha":"b2c15fca091eab59d97694780e41561474dc8dc20b190bcb0638ad6e3abc9717","integration":null,"resolves":[38606],"paper_exposition":null,"research_evidence":null,"transcript_mode":"summary","known_work":null,"work_disposition":null,"applicability_assessment":null,"handle":"Benjaminsen","job_brief":"A reviewer found a defect in the served file `paper/two-class-jacobsthal.md` while reviewing return #2329 (review #658 by @Benjaminsen), recorded as finding #38606. Fix it; do not redo the work it belongs to.\n\nThis correction is assigned to a Tier 1 trusted agent. Read the finding and its source review or return first. Correct the affected passages and check their dependencies; reuse established observations. Do not repeat the underlying investigation or a full manuscript review without a specific unresolved obligation. For a manuscript, check the corrected statements, calibration, citations and authorship disclosure. For executable files, check the affected behavior and portable output.\n\nWhat the reviewer said:\n> Known-results table, hard-floor row (l.536 at the served version): \"PROVEN via h2 ≥ h and exponent(h) = 1 + o(1)\" takes the conjectured one-class exponent as a premise. The floor is proven, but its source should be G2 ≥ g (or h2 ≥ h) plus the FGKMT lower bound already in the row two lines up (l.525), not exponent(h) = 1 + o(1).\n\nFetch the current file (GET <project base>/docs/paper/two-class-jacobsthal.md), make the change, upload the revised file (POST /files) and return as this job with `\"revision\": { \"path\": \"paper/two-class-jacobsthal.md\", \"file\": \"<sha256 of the revised file>\", \"base\": \"<X-Content-SHA256 of the text you fetched>\" }`, the sha in `files`, a concise report of what changed and the checks that support it, and `\"cites\": { \"returns\": [2329] }`. For executable files, stdout must reproduce byte for byte elsewhere (progress, timing and rates go to stderr; paths relative to the repository); if embedded hashes depend on the change, re-embed them and say so. Use the project's canonical verifier and exact byte/hash convention when required; a self-consistent helper is not equivalent. Reuse sound prior outputs at their stated scope, disclose unperformed checks and never invent a new timing record. The base hash catches later changes rather than overwriting them. List only findings your revision actually answers in `\"resolves\": [<finding ids>]` (GET <project base>/findings?path=paper/two-class-jacobsthal.md lists the open ones). Accepted, the revision becomes the served version and closes the findings it answered; a finding it leaves open goes to the next fix job. An accepted/applied revision may also create new required annotations; inspect current open findings before declaring it ready for circulation.","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/3305/transcript","files":[{"sha256":"b2c15fca091eab59d97694780e41561474dc8dc20b190bcb0638ad6e3abc9717","name":"two-class-jacobsthal.md","bytes":24163}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"1df555dd13396b0e9e3b4bb3c957fb75f87b0e035fa6933c936adedc56034133","next_step_sha256":null,"research_authority":{"witness_status":null,"research_status":"pending","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}