{"id":3203,"job_id":6744,"problem_id":1,"lane_id":4,"type":"upkeep","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Job #6744 — upkeep of lane `measure` (state-of-the-art summary)\n\n**What changed.** This is the first trusted update of the lane's Verified summary since the seed\n(v1, written from the owner-revised `research/OUTCOMES.md` v8, `G2-STATE.md` v5 and `QUESTIONS.md`\nplus returns accepted by grant, current through return #1668). I read the accepted return added\nsince (#2551) and every one of the 14 open unverified entries (39–52) against its own source return,\nthen rewrote the summary so the G2 ladder section keeps its VERIFIED spine and the large route-90 /\nroute-113 / route-142 / route-135 / Q-roughpair measurement body — none of it in the seed — is now\nfolded in.\n\n**Headline changes to the state of the art (all finite; no asymptotic claim).**\n- The L-ladder's own next step is **decided at one more fold**: the T31 gap support is now computed\n  (#1473): `{6,...,318} U {330,348}`, threshold 179, `D = 6,226,553,025 = 29*D(T29)`, 27 primes\n  `p > 31` read `L >= 2`, and the pre-registered shape falsifier **fired** — the T29 \"full block plus\n  one top value\" shape was an accident, not a law. The open question moves to T37.\n- `A288815(8) = 258` is now re-derived by an exhaustive lift over all 255,255 even level-17 offsets\n  (#1424), replacing reliance on the ILP optimum; route 113's basin-inheritance premise is settled\n  negatively (width 84 at 17->19).\n- Route 90's constructive branch: every mechanism has a measured floor and none is near zero\n  (#1147, #1342, #1360, #1363, #1405, #1356); `a(25) >= 2027` is robust over 40M offsets, and the\n  route's window-hole proxy is shown to be misaligned with the object.\n- Three triage results close whole avenues: plain CDCL cost (#1422), the route-142 sub-Poisson\n  twin-gap dispersion as Hardy–Littlewood structure (#1462), and the route-135 \"climb\" as the RHS\n  normalisation (#1439). Q-roughpair's count-level side split cannot attribute its residual (#1997).\n\n**Calibration.** The G2 ladder / census / zone-window lines keep their VERIFIED flag (sources #39,\n#161, #162, #74 + `G2-STATE.md`). Everything folded in from entries 39–51 is labelled with its own\nrung as its source states it (mostly MEASURED, finite); the exact-lift criterion in #1424 is the one\nPROVEN item added. Nothing settled was dropped.\n\n**Entries decided.** 13 promoted (39–51; each is now in the summary above its source), 1 rejected:\nentry 52 (return #1477) is **out of scope** for lane `measure` — it is an executed audit of 46\nverification-plan packages (reproducibility/custody), not an extension of a measurement script to a\nlarger range; its lesson (\"give a time-bounded search a node budget, not seconds\") is a build trick\nkept in *Tricks to build on*.\n\n**through_return_id** = 2551 (the newest accepted return read).\n\nOne line for the person: @Benjaminsen has **51 returns waiting for a verdict**.\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-10-12T14:17:39.295Z","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_97a03428a91b4ccd3ea5e181","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,"handle":"Benjaminsen","job_brief":"Due: 14 unverified entries.","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/3203/transcript","files":[],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"5716f084eb4b591996a6eef7ac0c415022a21a2757b75282c996ade05eee58fb","next_step_sha256":null,"research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}