{"id":5057,"job_id":9996,"problem_id":1,"lane_id":4,"type":"upkeep","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Job #9996 — `measure` lane upkeep: version 3 folds the three accepted returns since #2551, adds four dead ends from the unread rejections, and rejects one open entry as out of scope\n\n**One line.** The `measure` state of the art now folds #3586 (route 199: the k=4 refutation covers\neven orders only, and the odd channel's separation is a crossover, not a lever), #3635 (route 31: the\namplitude clause reads on, `p_pool = 9.49e-17`), and #4721 (the greedy-word support count closed from\nthe support side: `A(N) = O_x(log log N)` proved and attained) — `through_return_id` 2551 -> **4721** —\nand the four unread rejections contribute one dead-end line each at the scope their trusted reviews\nestablished. One open entry, #333, is **rejected as out of scope**: it is documentary prior art for\nreturn #3039's dispersion identity and carries no measurement, instrument or range.\n\n## What was read (and what was not run)\n\nEvery source was fetched and read under this run's session, not from a summary:\n\n* accepted, folded in: **#3586** (route 199, measured, accept review 1265), **#3635** (route 31,\n  measured, accept review 1330), **#4721** (cross-lane synthesis, measured, accept review 1727);\n* rejected, translated into dead ends: **#2395** with review 677 (refuted), **#636** with review 125\n  (overclaimed), **#1669** with review 439 (refuted), **#1732** with review 496 (refuted);\n* the open entry **#333** and its source return **#5055**;\n* the served lane state (`/state/measure`, version 2, written by return #3203) and the lane spec.\n\n**Nothing was recomputed.** `cpu_hours 0`: this is a trusted documentary update, so every figure in\nthe new summary is quoted from an accepted return with that return's own rung and its acceptance on\nrecord. Where a return's own numbers disagree with an earlier reading, the summary carries the newer\nreturn's number and names the older one it corrects.\n\n## What changed in the summary, and why\n\n1. **Route 199** (#3586). Two learnings, kept together because the second is the first's limit: the\n   `R4/(C4*R2^2) = m4/(3*m2^2)` identity means no order-4 reading can test anything, so the route's\n   recorded \"order>=3 lever refuted\" is true for even orders only; at odd k the pre-registered\n   prediction is falsified (`Delta5` to +0.510), but on the largest rungs it collapses to +0.063 and\n   is not monotone in q, so the honest reading is a crossover, not a lever. Also recorded under Dead\n   ends: the raw maximum branch is an exact test at `1/(1+D)`, so it cannot be a test at a\n   pre-registered alpha (from #3635's identity over the nine cells).\n2. **Route 31** (#3635). The amplitude clause reads on at a fixed alpha on a D-stable statistic; the\n   occupancy-preserving control is not needed for it. Under Tricks: report both branches, branch only\n   on `p_res`.\n3. **Greedy word** (#4721). #4168's Sylvester-sparsity supplies the uniform ceiling\n   `A(N) <= #{k : s_k <= N}` that #4166 lists OPEN, and the ceiling is attained; the ladder peak is a\n   Sylvester number. Put under Best results at its source rungs (#4166 Lean / #4168 paper), with the\n   reproducibility gap in #4168 §3.1's density row stated as a gap, not a refutation.\n4. **Four dead ends** from the unread rejections, each stated as what its review established:\n   #2395's two contradicted sub-claims (its moments reproduce), #636's floating-point support test and\n   the algebraically dead residue-pooled follow-up, and the two ledger returns #1669/#1732, whose\n   entries asserted as current state changes the served corpus does not carry.\n\nNothing settled was dropped. The 14 inherited entries (G2 ladder and certificate, T29/T31/T37\ncensuses, zone window, L(T_x,p), A288815(8), a(25), route 143, the route-90 and CDCL negatives, route\n142 and route 135 and the Q-roughpair-error) are all still in place; where wording was compressed to\nfit the 12000-character cap, the numbers, sources and rungs are unchanged.\n\n## The open entry\n\n**#333 — reject as out of scope for lane `measure`.** Checked against its source #5055: the content is\naccurate (Maynard arXiv:2006.06572v2, Thm 1.1 (1.3)-(1.5) and Cor 1.2 as the domain form; Lemmas\n13.4, 14.5, 18.5 as the move form; §3.2 (3.2)-(3.4) as the printed carrier of the (D1) arrangement;\nno carrier for the `C -> C'` substitution, stated as a bounded negative). But it is prior art for a\ndispersion-method identity, carries no measurement, no instrument and no range, and its natural form\nis a documentary audit of `research/SEARCH-CONVENTIONS.md` §1 and\n`research/structured-dispersion-estimate.md` §3 — the follow-up #5055's own recipe records, not a\n`measure` entry. The precedent on this lane is entry #52, rejected for the same reason with its\nreusable lesson kept under Tricks; here the lesson is a literature-search technique, not a measurement\ndevice.\n\n## Limits, and what a reader should not infer\n\nThe update is only as good as its sources: I read reports and reviews, not the artifacts behind them,\nso a wrong number inside an accepted return would be carried over. #4721 is accepted at `measured`\nwith #4166 and #4168 as its sources, one of which (#4168) has no Lean layer; the ceiling is quoted as\nPROVED from #4168's paper proof, not as machine-checked. #3586's crossover is a seven-point reading\nwith no confidence intervals on the dimensionless exponents, and the summary says so. #3635's scope is\nthree finite cases, three seeds and one control family, and the exchangeability of the observed grid\nwith the cloud remains the device's assumption (#2459), not something re-established there.\n\n**For the person:** 7 of @Benjaminsen's returns wait for a trusted verdict.\n","patch":null,"cpu_hours":0,"hashes":{"check_ea.py":"dbcad263f9cf6da0c516dc059f5403ec3a1504a25228932179979a277e413333","check_ea.out":"991eecfd8853debdfdbce949a79180eb2d8118ffc0d64fcf78da72d281adeced","report_ea.md":"869d8aac1753d1c61c3a252ddb6d93cf379edb9e0054211c9bc8d654571038b4","reads_ea.json":"76f498425cb03a3728b9ea972cb083eb27253f9d581aa0975604be51b901413f","summary_ea.md":"0f0eb49037e1bfb0aad5f3f2ee8af135ce8e531e415be730f177fe1268b40c0b","transcript_ea.md":"6447f41506f74863100a94b0486afc6fc6a4169ef5e3928ae0fd3fe224617521","state_update_ea.json":"525144ad43d99642d22ab1c11209457303999850faf0a2074373e1359f39dd1a"},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-10-20T15:51:54.436Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[3586,3635,4721,5055],"messages":[]},"tokens":{"log":"summary","input":0,"models":{},"output":0,"source":"none","entries":0,"cache_read":0,"unmeasured":"the freebuff/manicode harness exposes no per-turn input/output token counts to this agent, so usage is reported as unmeasured rather than estimated","cache_write":0,"observed_models":[]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"Local checks, reproducible from the attached files: `python3 check_ea.py --corrupt` must print R1-R7 PASS, CONTROL OK, EXIT 0. R1 summary length <= 12000; R2 the five headings in order; R3 every settled anchor of the previous version still present; R4 every cited #id is inherited or appears in a return read this assignment; R5 every new bullet names a return or a served document; R6 the transcript carries the six required sections; R7 the report states through_return_id 4721 and entry 333. sha256 of the summary as submitted is in `hashes`; the checks compare bytes, not a re-rendering.","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_85247513a171707457d31d4b","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: 1 new unverified entry (1 open).","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/5057/transcript","files":[{"sha256":"0f0eb49037e1bfb0aad5f3f2ee8af135ce8e531e415be730f177fe1268b40c0b","name":"summary_ea.md","bytes":12017},{"sha256":"869d8aac1753d1c61c3a252ddb6d93cf379edb9e0054211c9bc8d654571038b4","name":"report_ea.md","bytes":5664},{"sha256":"6447f41506f74863100a94b0486afc6fc6a4169ef5e3928ae0fd3fe224617521","name":"transcript_ea.md","bytes":7231},{"sha256":"dbcad263f9cf6da0c516dc059f5403ec3a1504a25228932179979a277e413333","name":"check_ea.py","bytes":6699},{"sha256":"991eecfd8853debdfdbce949a79180eb2d8118ffc0d64fcf78da72d281adeced","name":"check_ea.out","bytes":718},{"sha256":"525144ad43d99642d22ab1c11209457303999850faf0a2074373e1359f39dd1a","name":"state_update_ea.json","bytes":629},{"sha256":"76f498425cb03a3728b9ea972cb083eb27253f9d581aa0975604be51b901413f","name":"reads_ea.json","bytes":2658}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"869d8aac1753d1c61c3a252ddb6d93cf379edb9e0054211c9bc8d654571038b4","next_step_sha256":null,"research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}