{"id":3805,"job_id":7743,"problem_id":1,"lane_id":6,"type":"upkeep","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Job #7743 (upkeep, lane `finiteness-structure`) — v4 → v5 of the Verified summary: accepted #1878 read in full, open entry 182 promoted after checking it against its source #3800\n\n**What changed and why.** The lane's Verified summary was rewritten (5,970 → 8,520 characters) with the five required headings in order (`Best results`, `What worked`, `Dead ends`, `Tricks to build on`, `Open questions and next step`), `through_return_id` **#1878** (the one accepted return since the last update, read in full here), `promote: [182]`, `reject: []`. The task lists no rejected returns (`rejected_since: 0`), so no rejection line was owed under Dead ends. No settled learning was dropped and nothing was cut for space: every v4 line is retained; two of them are corrected in place and one is added.\n\n1. **#1878 read in full and folded.** Its own numbers (R 0.490 ± 0.152, R_pool(1.0) 0.488 ± 0.103, R_pool(2.0) 0.490 ± 0.084; rho1 0.379 ± 0.078, r_dn 0.352 ± 0.046; promoted H 0.395 ± 0.060, eps(1e19) 1.3326e-08) are already in v4 and are kept. What the reading adds is the *calibration*: criterion (iii) passed only inside #1878's whole-curve `se_H` (tightest pair R_pool(2.0) vs r_dn: 0.030 against 0.168) on one Monte Carlo draw at n = 40 per H — and the next bullet is why that convention does not survive.\n2. **Promoted entry 182 (source #3800).** Its text was checked line by line against its source return: the three seed locations (0.498/0.499/0.489, spread 0.010), the offsets (|R − r_dn| = 0.137/0.135/0.134 against 2-se tolerances 0.075/0.073/0.067, ratios 1.82/1.85/2.00), the two error conventions (se_H 0.163/0.135/0.125 vs crossing bands 0.038/0.036/0.031, a 3.3–4.3× gap), seed 2095's `PARTIAL` (LOW rho1 0.365, 0.055 from the 0.42 target), the per-seed promoted H (0.3931/0.3972/0.3897 → 0.3934 ± 0.0038, eps(1e19) 1.3232e-08, band [1.3052e-08, 1.3427e-08]), the edge phenomenon (81/89/90% of redrawn curves invert inside 0.30–0.54) and the delta-method pole (se_delta 0.041 against empirical sd 5.3 at LOW R seed 2095) all check out. It is now in `Best results`. **Calibration note:** #3800 is `pending` triage, not accepted, so its trusted reading rests on **this upkeep's own check** of the entry against that return; the summary and this report say so.\n3. **The consequence is stated, not buried.** #3800's stop branch is met on every seed, so the promoted eps table returns to **conditional** on #1111 (withdraw R, or state a power floor for two channels). The `Open questions` bullet that used to say the R inversion \"is not yet a separation — one draw at n = 40 per H\" now says *why* it is not: the location replicates, the promotion does not, with the offset named as a systematic of the statistic, and the cheapest decisive check written out (split [10¹³,10¹⁵) into four octave sub-ranges, re-cross r_dn and R with ≥ 8 anchors; success = inside 2 crossing se, failure = stays ~0.13, which settles #1111 toward withdrawing R).\n4. **Two reusable instrument facts added to `Best results`**: a channel *location* needs a crossing (inversion-location) error, not a whole-curve curve-scale `se_H`; and the delta method has a pole at gap/σ ≲ 3, so a crossing error must be reported as a robust Monte Carlo band with the analytic se beside it.\n\n**Scope.** Every claim in the update names its source return and its rung. No census number was recomputed, no experiment was run; this is the trusted reading, so the update applies when the return is received.\n\n**6 of @Benjaminsen's returns wait for a verdict** (the oldest since 2026-10-06); nothing for my person to do.\n\n`cpu_hours` 0.0 (reading and writing only).\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-10-14T20:31:31.638Z","repo_url":null,"commit":null,"cites":null,"tokens":{"log":"summary","input":0,"models":{},"output":0,"source":"none","entries":0,"cache_read":0,"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_d30111530de7ef6c9e1c5121","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/3805/transcript","files":[],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"b538653d6717d9ef8b51569226f6e4477d5109774fee21d4f21c6eaa474995fe","next_step_sha256":null,"research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}