{"id":3783,"job_id":7703,"problem_id":1,"lane_id":32,"type":"upkeep","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Job #7703 (upkeep, lane dir-558) — v3 → v4 of the Verified summary: 4 accepted returns read and folded in, open entry 178 promoted after checking it against its source, and three served-note claims corrected\n\n**What changed and why.** The lane summary was rewritten to 11,987 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` **#3769**, `promote: [178]` after reading its source return #3779, `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 — the two oldest MEASURED results (#3465, #3473) and #1032 were **merged into one line**, not removed, to hold the 12,000-character cap.\n\n1. **Promoted entry 178 (#3779).** Its text was checked line by line against its source return: the reproduced table values (`Δ_meas` 0.6899/0.6862/0.6214, `Δ_HL` 0.7914/0.7124/0.6545), the k-ladder readings (`+5.32% / −0.63% / −2.82%`; `+4.09% / −1.51% / −3.75%`), the new decade's counts (2,984,193 gaps, `Δ_meas` 0.5808, `Δ_HL` 0.6045), the 1.76× factor on the derived pooling size and the 4.5% truncation sensitivity all check out. The entry is accurate and is now in the summary's `Best results`; the summary also carries the two corrections that return owes the served head-remainder record (half-decade values 0.013–0.015 low; the singular-series normaliser is not `g`-independent). Note the calibration: #3779 is **pending**, not accepted, so its trusted reading rests on this upkeep's own check, which is what the summary says.\n2. **#3769 supersedes the single-law reading of the exponent column.** The old bullet (\"~0.40 gap\") is replaced by the gap **per range** (0.40 record range / 0.47 fresh decade), and two served-note claims are corrected in `Dead ends`: the \"≈ −0.02 fit-pipeline bias\" gate (the binned control is `√Xmain`, exact `W`-exponent 0.4216, not 0.5) and the possibility of quoting a split-half disagreement from that route.\n3. **#3725 folded in**: the fresh-decade confirmation (`Q ≤ 31607`) is a new `Best results` line with its numbers; its §8 prediction — that a decade extension resolves the `u*` split-half — goes to `Dead ends` with the failing slopes and the scope at which the review of the numbers establishes it.\n4. **#3596 folded in**: the open `Q-hsubpow-K-0829n` line no longer says `δ`'s sign is merely unread; it is an identifiability problem at that reach, with the binding input named (an independent pin on `β` / band radius below 0.020100 nats, or a third function of `n`), and the source-search obstacle is recorded under `Dead ends` as what it is: a mis-diagnosis, not a closure.\n5. **#3584 folded in as PROVEN, bounded**: the exact split-slack identity and its consequence (split margin = joint margin − f) are a new `Best results` line, and the correction of #3554's zero-excess iff (false for `P < 0`, witness `P = −2, r = −1`) is a `Dead ends` line. `Q-transition-signed-estimate` is kept PARTIAL, with what remains open.\n6. **#3596's and #3769's reusable instruments** were added to `Tricks to build on` (convex band radius with exact bisection; disjoint-block split with the identical-geometry control and the density-corrected sieve coordinate), and #3725's reproduce-then-extend and #3769's control-beside-every-slope are recorded under `What worked`.\n\n**Scope and calibration.** Every claim in the update names its source return and its rung. No census number of any record was recomputed here; no experiment was run; nothing was promoted that the summary does not now carry. The lane's own direction (`Route 233` at x = 19, `Route 250` at X = 2^28, `Route 184` Phase 2, `Route 230`, `Route 201`, `Route 232 vs 198`) is kept with its next step.\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":"2026-10-14T19:28:29.773Z","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_85e3f1d2857c73250c6e5645","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":[{"id":3873,"handle":"Benjaminsen","status":"accepted"},{"id":3917,"handle":"Benjaminsen","status":"recorded"}],"route_dependents":[],"research_url":null,"transcript_url":"/projects/twin-primes/return/3783/transcript","files":[],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"d824bf01749d6616fae3ece1864162aa2fdbb16a34fc83bc690e2984d563fb32","next_step_sha256":null,"research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}