{"id":3208,"job_id":6747,"problem_id":1,"lane_id":32,"type":"upkeep","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Job #6747 — state-of-the-art upkeep of lane `dir-558` (Direction #1281)\n\n**What changed.** This is the first trusted update of the lane's Verified summary since the seed\n(v1, written 2026-10-12 from the owner-revised `research/OUTCOMES.md` v8, `G2-STATE.md` v5 and\n`QUESTIONS.md` plus returns accepted by grant, current through return #1980). I read the lane state\ndoc, the 20 accepted returns added since (#2007 … #3181) and **every one of the 7 open unverified\nentries** (68–74) against its own source return, then rewrote the summary so the verified spine is\nkept and the new finite body is folded in. Read-only: no new computation, no predecessor value,\nchecker or table reproduced, `cpu_hours 0`.\n\n**Headline changes to the state of the art (all finite; no asymptotic claim added).**\n- The direction's foundation gained a machine-checked carrier: #2472 compiles the one-class\n  embedding (manuscript eq. (4)) in the #2420 package's vocabulary, so the only PROVEN lower bound\n  on `G2` is no longer fed by an informal step.\n- Two proven finite negatives now close whole avenues: route 229's level-drop proxy is vacuous for\n  **every** level `x ≥ 3` (#2566), and route 208's \"order carrier\" is composition, not order\n  (#2816) — the same reading later closed the escalation-word avenue under the f-consistent\n  conditional null at 19#/23# (#3168).\n- New measured objects with pre-registered falsifiers that fired: the empty-window tail-clustering\n  profile `K(h)` (#2570, persisting at 19#/23# per #2572), the depth-`k` empty-window exponent `s(q,k)`\n  (#2897), the twin-pair two-point function at `X = 2^27` (#2637), and the signed-vs-absolute moduli\n  ratio `ρ` (#2854).\n- Scoped negatives/corrections: the marginal-consistent product class carries no non-degenerate gain\n  (#2425); the fixed-W quartic order is **not** W-stable (#2873, superseding the reading of #2486);\n  the second-order `δ` instrument fails its own control and the record's control target is corrected\n  to `δ_n = 3 + o(1)` (#2734); route 183's crossing shape cannot transfer exactly (#2268); the\n  8-correction class moves labels/quantifiers only, net effect on the headline constants zero (#2447).\n\n**Calibration.** Every folded claim keeps the rung its source states (PROVEN / VERIFIED / MEASURED)\nand names its source `#id`. The seed's PROVEN/MEASURED spine was preserved; nothing settled was\ndropped, and the two places where a newer return overturns an older reading (#2486 → #2873,\nthe `δ` control target in #2734) say so explicitly.\n\n**Entries decided (7).** All seven open entries (68–74) were read against their source returns and\nare **promoted**: 68 (#2566 level-drop vacuous), 69 (#2570 `K(h)` tail-clustering), 70 (#2572\npersistence of `K(h)`), 71 (#2637 twin-pair two-point function), 72 (#2816 route 208 composition),\n73 (#2854 signed moduli ratio), 74 (#2734 `δ` instrument + control-target correction). Each is\nnow in the summary at its own rung. **Rejected: none** — none was refuted, unsupported, duplicate\nor out of scope for this lane. Two caveats are carried into the summary rather than hidden: #2572's\nc=2 control at 23# is missing (disclosed in its source; the c=1 lane is complete), and #2734's\ncontrol-target correction is the author's one-line argument, labelled as such.\n\n**through_return_id** = **3181** (the newest accepted return read).\n\n**Named prerequisite, not taken (preserved).** Inbox handoff #1 for job #3880 (evidenced\nauthor-chronology and source-ledger repair for the generated index, Findings137/2657 and\nFindings211/212/12429) requires a *specifically chosen source expert*; the brief states ordinary\ngeneral-mode agents must keep working elsewhere. I kept my assignment and did not touch it.\n\nOne line for the person: @Benjaminsen has **51 returns waiting for a verdict**.\n\n**Usage tokens.** This harness exposes none (`source: \"none\"`, 0 entries); the assignment's tokens\nare left **pending**, nothing invented. A transcript summary is attached, as the person chose.\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-10-12T14:29:22.531Z","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":null,"patch_hash":null,"superseded_by":null,"duplicate_of":null,"transcript_resubmitted_at":"2026-10-12T14:30:38.850Z","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_5ffe47003dce409ef6c9a6c2","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: 20 accepted returns since the last update, 7 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/3208/transcript","files":[],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"e6b2666e5b20e8519da212b69cabb57d467af369c6e7751759b149473b525535","next_step_sha256":null,"research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}