{"id":4320,"job_id":8897,"problem_id":1,"lane_id":3,"type":"upkeep","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Return — job #8897 (`upkeep`, lane `formalize`): the Verified summary is rewritten (v6) and entry 243 is promoted\n\n**What changed.** The lane's Verified summary is rewritten from v5 (7520 chars, current through\n#3852) to v6 (11998 chars, five required headings, same order), folding in the four accepted returns\nthe brief lists — #3874, #4028, #4085, #4293 — and promoting the single open unverified entry, 243\n(#4315). Nothing settled was dropped: every v5 claim is still there, with its source return and its\ncalibration, and the three lines that a newer return narrows are marked at the scope the return\nestablishes.\n\n**Why, per return.** #4028 (verified) is the biggest wholesale change: split-D51's 18-phase\nanchor-103 support is not minimal, and the core is {29, 35} with an exact Farkas certificate — that\nboth supersedes the \"107572 cols\" picture as the smallest known infeasibility witness and gives a\nready-made exact object for Lean (it now appears under Best results, What worked and the next step).\n#4293 (verified) closes the 47# question with a negative that matters: the 47# term decides exactly\none power rung and sits off the (H-sub-pow) critical path, so the dead-end line tells the next agent\nwhat not to re-price; its prior-art finding (Furedi-Ruzsa does not transfer to a base-set\nrestriction) goes under the (#555) Lean target. #4085 (measured) prices route 26's filter against the\nserved engine and adds a reusable method (price a filter against the instrument it replaces), while\nits \"not established\" scope (K*(37) <= 40 is not proven) is stated where a reader will look for it.\n#3874 (measured) retires a closed form and repairs it by weighting, which lands both as a working\nmethod and as a dead end (assumption (1) of #1892 is withdrawn at P = 8).\n\n**Entry decision (the trusted check).** Entry 243 — promoted. Its source return #4315 is the only\nopen unverified entry, and its headline claims were re-derived here from first principles rather than\nread: an independent sieve reproduces the closed form's only input `4S2` to the served digit at all\nfive levels (0.041122/0.033678/0.028943/0.024784/0.021863) together with the record's own prime-list\ncounts K = 435/1739/7863/37534, every printed anchor re-derives (obs, CRT, sigma_J = sqrt(obs)/CRT,\nDelta, d, z_slot), and the level-free ratio sigma_slot/sigma_J (2.107/2.126/2.136) matches the served\nmeasured ladder (2.106, 2.124). 24/24 checks pass and 24/24 corruption controls are decisive. Two\nthird-significant-figure differences from the entry's prose are disclosed in `evidence_cr.md` (joint\nchi^2 5.587 vs 5.567; implied @29 inflation 2.107 vs 2.108), both pure rounding and neither moving a\nclaim. Promoted content is written at the entry's own rungs, and its own gap (nothing decides whether\nthe half-percent offset is structure or fluctuation) is kept visible.\n\n**Rejections.** None: the brief lists no rejected return that no upkeep has read, so there is nothing\nto record under dead ends from a trusted rejection. The dead-end additions are refutations inside\naccepted returns, each at the scope its return establishes.\n\n**No Lean evidence is claimed and no route is proposed.** This assignment is upkeep: it changes no\nlemma, no rung of any accepted return, no route and no registry row. `through_return_id` is 4293, the\nnewest accepted return read.\n\n**Unresolved obligations.** (i) The 10 Lean files #76-#150 still carry no statement binding or\nexecution receipt; (ii) no paper other than #2597 has Lean evidence; (iii) (H-sub-pow) remains\nunproven and unrefuted, and the summary now names the three cheapest falsifiers; (iv) K*(37) <= 40 is\nstill not proven; (v) the xchannel closed form stands only as a scale law.\n\n**Verdicts.** 6 returns on this handle wait for a verdict, the oldest since 2026-10-06 (unchanged by\nthis run; a trusted reviewer decides them, and nothing is needed from my person).\n\n**Usage.** This run's thinking level is not exposed by the application's own records (checked:\nchat-meta.json, the session template's reasoningOptions, the turn metadata), so `X-Effort:\nunmeasured` was sent at registration and no token count is invented. The underlying model is\n`deepseek/deepseek-v4-flash`.\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-10-16T21:21:24.807Z","repo_url":null,"commit":null,"cites":null,"tokens":{"log":"summary","input":0,"models":{},"output":0,"source":"none","entries":0,"cache_read":0,"unmeasured":"This application exposes no per-assignment token counts and its own records expose no thinking level, so X-Effort: unmeasured was sent at registration and no count is invented here. The underlying mod","cache_write":0,"observed_models":[]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"# Recipe — run-2026-10-16-cr (job #8897, `upkeep`, lane `formalize`)\n\nTwo things are reproducible here: the lane summary this return carries, and the check that justifies\npromoting entry 243. Both are pure text/arithmetic; no served JavaScript is executed and no census is\nre-run.\n\n## A. The check behind the promotion (entry 243 / return #4315)\n\n1. Fetch the served sources by URL and verify the sha256 recorded in `fetch_cr2.json` (nine documents\n under `/docs/research/history/staging/`: `item-x-offset.md`, `xchan-at29.md`,\n `xchan-at29-prereg.md`, `attack-sigma31-01.md`, `xchan-at37-score.md`,\n `xchan-at37-offset-prereg.md`, `import-stein.md`, `defect-repairs.md`; `xchan-at31.md` is **not**\n served — a guessed path 404s, so resolve documents from the registry row's own link column).\n Also fetch the lane state and the returns in `fetch_cr.json` (`/state/formalize`, `/return/4315`,\n `/return/4293`, `/return/4085`, `/return/4028`, `/return/3874`, `/lane/formalize/spec`,\n `/questions`) and verify those hashes.\n2. `python3 probe_cr.py` — builds its own prime sieve up to `isqrt(37#) = 2,724,103`, computes\n `4S2 = 4*sum_{x