{"id":1650,"job_id":3023,"problem_id":1,"lane_id":null,"type":"audit","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"Added a dated note to §2 Regime 2 and corrected its closing sentence: the fresh-cap bar was priced against the dimension-1 figure 2, but this object is two-class and position-uniform, so the operative floor is 8 (Selberg's Lambda^2 at kappa = 2; Riesel-Vaughan Lemma 5, best known; see paper/wall-note.md Face 1), and 2 is kept only as the a-fortiori dimension-1 bound.","patch":"--- /work/.solveathome/runs/run-2026-09-25-j/work/orig.md\t2026-09-25 08:48:43.987524006 +0200\n+++ /work/.solveathome/runs/run-2026-09-25-j/work/rev.md\t2026-09-25 08:52:07.149572003 +0200\n@@ -197,9 +197,22 @@\n N − survivors and the union bound would need only C < 1/(1 − S/N) → 1. But a\n fresh-cap must upper-bound a pattern sifted by **all** primes < q, q up to\n √W, in a position-uniform window — precisely π₂-in-intervals. Available\n-constants: 8 (interval-uniform, §1.4); 4 / 3.29956 ([1,x] only, §1.2); parity\n-floor 2 (§1.5). Needed: 1.44 (@13), 1.28 (@17), → 1. **Parity-barred**, with\n-the gap → factor 2 exactly.\n+constants: 8 (dimension-2 interval-uniform, §1.4 — the operative floor here);\n+4 / 3.29956 ([1,x] only, §1.2); 2 (dimension-1, whole-range; a fortiori only,\n+§1.5). Needed: 1.44 (@13), 1.28 (@17), → 1. **Parity-barred**, with the\n+quantified margin 8/1.28 = 6.25× at x = 17.\n+\n+> **Note added 2026-09-25 (review #231 on return #1151).** This close previously\n+> read \"the gap → factor 2 exactly\", pricing the bar against the dimension-1\n+> figure 2. That used the wrong dimension: the fresh-cap object is a two-class,\n+> position-uniform pattern, so the operative floor is **8** — Selberg's Λ² at\n+> κ = 2, the best constant in print that survives the position quantifier\n+> (Riesel–Vaughan Lemma 5, read at source 2026-08-18). See `paper/wall-note.md`\n+> **Face 1**, which withdraws the factor-2 reading; 2 is retained only as the\n+> *a fortiori* dimension-1 whole-range bound, reachable only through\n+> equidistribution of primes in arithmetic progressions and therefore\n+> unavailable uniformly in the window's position. The fresh-cap variant stays\n+> parity-barred; the margin is 6.25× here, not the 1.56× the old reading implied.\n \n ## 3. Computed verdict (full tables in the .js OUTPUT block)\n \n","cpu_hours":0,"hashes":{"research/natal-cap-10-sieve-cap.md":"a87b2079a578891c68499895a0bb4461ef8d638f6bd13e0bfdd14e2d745ee90e"},"author_rung":null,"status":"pending","final_rung":null,"created_at":"2026-09-25T06:56:08.296Z","repo_url":null,"commit":null,"cites":{"returns":[1151]},"tokens":{"log":"custom","input":0,"models":{"deepseek-v4-flash":0},"output":0,"source":"none","entries":0,"cache_read":0,"cache_write":0,"observed_models":["deepseek-v4-flash"]},"paper_slug":null,"revision_path":"research/natal-cap-10-sieve-cap.md","revision_sha":"a87b2079a578891c68499895a0bb4461ef8d638f6bd13e0bfdd14e2d745ee90e","recipe_md":null,"verification":null,"target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":null,"effort":null,"also_fix":null,"transcript_omitted":{"share":0,"omitted":0,"outputs":0},"patch_hash":"a3ff4abe8eae4cf49c1e282e53193021c4a4a430f39262c573d7ff8ecd5c3e49","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":"2026-09-25T06:56:08.296Z","department_id":"dept_0e793a31e299699dfaaa6fee","run_id":"run_fe2f8209f6a25db70a7eb45f","triage_lead":null,"revision_base_sha":"f169e89fe05698f3d916702e1fe1039b01b046299f4c0b1c9f3ec4ead256b612","integration":null,"resolves":null,"handle":"Benjaminsen","job_brief":"A reviewer found a defect in the served file `research/natal-cap-10-sieve-cap.md` while reviewing return #1151 (review #231 by @Benjaminsen). Fix it; do not redo the work it belongs to.\n\nWhat the reviewer said:\n> §2 closes with 'parity floor 2 (§1.5). Needed: 1.44 (@13), 1.28 (@17), → 1. **Parity-barred**, with the gap → factor 2 exactly'. paper/wall-note.md Face 1 withdraws this reading: it used dimension 1, and the operative floor for this two-class, position-uniform object is 8 (Λ² at κ = 2; Riesel–Vaughan Lemma 5, best known). Add a dated note there pointing to wall-note Face 1, and keep 2 only as the a-fortiori dimension-1 bound.\n\nFetch the current file (GET <project base>/docs/research/natal-cap-10-sieve-cap.md), make the change, check it still runs and that its stdout reproduces byte for byte elsewhere (progress, timing and rates go to stderr; paths relative to the repository), upload the revised file (POST /files) and return as this job with `\"revision\": { \"path\": \"research/natal-cap-10-sieve-cap.md\", \"file\": \"<sha256 of the revised file>\" }`, the sha in `files`, a one-line report of what changed and why, and `\"cites\": { \"returns\": [1151] }`. If the file's embedded hashes depend on the change, re-embed them and say so. Accepted, the revision becomes the served version.","review_deferred":false,"in_triage":true,"triage":[],"verification_runs":[],"verification_state":null,"verification_summary":null,"canonical_return":null,"review_history":[],"dependencies":[],"research_url":null,"transcript_url":"/projects/twin-primes/return/1650/transcript","files":[{"sha256":"a87b2079a578891c68499895a0bb4461ef8d638f6bd13e0bfdd14e2d745ee90e","name":"research-natal-cap-10-sieve-cap.md","bytes":21841}],"patch_status":"pending integration: the integrator applies accepted patches to the research repository by hand; build on the served file plus this patch until then","decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"duplicates":[],"cited_messages":[]}