{"id":5341,"job_id":10659,"problem_id":1,"lane_id":2,"type":"upkeep","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Lane `adversarial` upkeep (job #10659): summary v11 folds the five accepted returns, and entry 267 is promoted after an independent algebra check\n\n**Type:** `upkeep` (trusted lane check). **Lane:** `adversarial`. **State update:** lane **v11**,\nentry **267 promoted** (0 rejected), `through_return_id` **5309**.\n\n## What changed\n\nFive accepted returns since v10 (through #4419) are now in the Verified summary, each read at its\nsource and each at its author's rung:\n\n- **#5309** (killed-run length law): the suppression is real on 10 whole-period rungs, but it is\n  **not** a function of the killer-set exposure or of the tile — at 0.55% matched exposure the\n  `|Q|=3` and `|Q|=4` classes differ by +61% in the tail ratio, while the tile moves it by 17%.\n  Filed under `Best results`, with the same statement under `Dead ends` as a refuted two-parameter\n  description, so nobody rebuilds an exposure-indexed certificate.\n- **#4897** (route 82, one-sided `U_b`): the bound is built and validated on all 40 pinned A=360\n  cells and narrows the seven wide half-widths to `<= 0.0232`; the summary keeps the return's own\n  scope limitation, that with `B = tail_h` both exact caps collapse to the crude `U`, so the gain is\n  exactly as strong as its model inputs. `Best results`, model-calibrated.\n- **#4565** (route 192, matched-phase test): the `t`-only collapse fails; a constant `~0.32` per\n  `ln x` residual survives on `x = 53..131`, with the interpolation and pairing controls that make\n  the residual readable. `Best results`, `MEASURED`; the small-`t` region stays undecided, as the\n  return says.\n- **#4494** (the variance-artifact test as a decision rule): the rule is invalid — the correct\n  predictor is `1-2A_M/[M(M-1)]`, not `1-2A_M/M`, negative covariance *raises* the within estimate,\n  and 32×4096 windows are infeasible at `x = 2^32, h = 2^16`. Recorded as the correction it is, under\n  `Best results` (the finite identities) and under `Dead ends` (the rule itself).\n- **#4529** (route 245/87, conditional estimator): folded in with #4494 as one route-245/87 entry,\n  including the identification obstruction (`Z' = Z+U` changes `B_L` by `Lc` and leaves every\n  difference unchanged), so the open question now says the honest output without a certified\n  removed-covariance bound is \"inconclusive\".\n\nTwo of those produced new `Dead ends` lines beyond their own bullets: \"disjoint windows are\nindependent\" with iid-Poisson bands (route 87's significance step), and dyadic lag samples as the\nweighted covariance sum `A_M`. Both are negative results the review established, stated at that\nscope.\n\n## Entry 267 (return #4482): promoted\n\nThe lane's only open entry says route 311's direct lower-bound chain stays at exponent `7/2` because\nthe binding pieces need `vartheta(u) > 2u` and both branches give `u = 2/7` for every Selberg\nexponent. I checked that algebraic core independently, in exact rational arithmetic over a 37-point\n`theta` grid (`work/check_entry267.py`, exit 0): the profile branch's coefficient is exactly `7/2`\nfor every `theta`, so `u = 2/7` with no `theta` dependence, and the uniform rows `2/lambda+` are\nexactly `24/7` at `7/12` and `17/5` at `10/17`. That is the part the entry's negative scope rests on,\nso the entry is promoted, with its content in the summary under `Dead ends` and its proposed\nmixed-level Buchstab step under `Open questions` (conditional `inf C 3.374-3.429`, falsifier\n`inf C = 7/2`). I did **not** re-derive the sieve functions `f, F`, the mixed-level integral, the\nprofile rows `3.374 / 3.392`, or the theorem-level reading of Maynard II / Lichtman / Prop 6.6 /\nProp 5.4; the check says so explicitly, and the summary calls those numbers conditional.\n\n## Nothing dropped, wording compressed\n\nThe lane cap is 12,000 characters and v10 already used 11,972, so folding five returns required\ncompressing wording (no claim, number-carrying result, rung or return id was cut for space): v11 is\n**11,991** characters, and a checker asserts that the **citation set is a superset of v10's**\n(all 59 ids kept, 7 new: #4482, #4494, #4529, #4565, #4897, #5309, #4471), that the five headings\nappear once each in the required order, and that the length is under the cap. Secondary figures that\nwere trimmed stay on the cited return; the summary's own preamble says so.\n\n## Disclosure\n\n- The verified summary is a rewrite, so its authority is this check and the cited returns, not the\n  prior version's text. The one place where I state something from my own work is entry 267's\n  algebra, which is the check above; everything else is the return's own wording, compressed.\n- No new mathematics and no new measurement is claimed here; no computation beyond the exact\n  rational check of entry 267 was run, and no `verified` or `measured` rung is claimed by this\n  return.\n- Seven of @Benjaminsen's returns wait for a verdict (2 made on this session's model); nothing here\n  is a request for that queue.\n\n## Evidence\n\n`work/lane_state.json` (lane v10 as read), `work/served/return_<id>.json` and\n`work/served/report_<id>.md` for #4482, #4494, #4529, #4565, #4897, #5309 (served bytes),\n`work/summary_v10.md` -> `work/summary_v11.md` (11,991 chars), `work/check_entry267.py` ->\n`work/check_entry267.out` (exit 0, 37 theta values, `u = 2/7` throughout), `work/check_summary.py` ->\n`work/check_summary.out` (exit 0: 11,991 < 12,000, headings once in order, 59 v10 ids kept, 66 total),\n`work/build_payload_cr.py`\n-> `outgoing/payload_cr.json`. Uploaded through `POST /files`: `summary_v11_cr.md`,\n`check_entry267_cr.py`, `check_entry267_cr.out`, `check_summary_cr.py`, `check_summary_cr.out`, `report_cr.md`.\n","patch":null,"cpu_hours":0.02,"hashes":{},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-10-21T23:11:23.872Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[4482,4494,4529,4565,4897,5309],"messages":[]},"tokens":{"log":"summary","input":0,"models":{},"output":0,"source":"none","entries":0,"cache_read":0,"unmeasured":"harness keeps no per-assignment token counts; no estimate made","cache_write":0,"observed_models":[]},"paper_slug":null,"revision_path":null,"revision_sha":null,"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":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_0e793a31e299699dfaaa6fee","run_id":"run_e585a0e30281a9a2b5a44a14","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":"Benjaminsen","job_brief":"Due: 5 accepted returns since the last update.","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/5341/transcript","files":[{"sha256":"2d38b5539a05c9f2f254200fe46a3d6051793f932fc00704e456b252a514dfc1","name":"check_entry267_cr.out","bytes":666},{"sha256":"13d9f4b629656f7e52a94c64b342f4050ba91a5fd9f5c8db29b9d3eec034c464","name":"check_entry267_cr.py","bytes":2992},{"sha256":"2aaa4b1dceb6fd6af2e79846e2fd655a4e9a5ab8b74cc8f4ed748d7854d29992","name":"check_summary_cr.out","bytes":316},{"sha256":"961ddfd7ed2093c06256e6ca4fd7915fc4b63d9fe845b6a1938635108f36d67f","name":"check_summary_cr.py","bytes":1618},{"sha256":"d825de1d8b8a4ce86cade6e8fae21b196d0c3f67ed5a9c895343414f7a5228de","name":"report_cr.md","bytes":5654},{"sha256":"671a2b1f3263e30438e1c5b2f13607be379034db051b39440bb9f33b04531098","name":"summary_v11_cr.md","bytes":12000}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"d825de1d8b8a4ce86cade6e8fae21b196d0c3f67ed5a9c895343414f7a5228de","next_step_sha256":null,"research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}