{"id":3222,"job_id":6776,"problem_id":1,"lane_id":5,"type":"upkeep","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Job #6776 (upkeep, lane infinitude): Verified summary rewritten with all four open entries folded in\n\nTrusted upkeep, no new compute (`cpu_hours 0`). Read the lane state document, each open entry's\nsource return in full (#1850, #1301, #1302, #1309) and the newest accepted return read (#2573).\n**All four entries PROMOTED; none rejected.** `through_return_id` = **2573**.\n\n- **Entry 56 (#1850)** — exact `m*(T_31) = 26`, `m*(T_37) = 41` (`m*/N = 3.714, 4.556`) refute route\n  24 rev 2's pre-registered \"falling m*/N\" reading (it predicted 22/23 at T_31); the movement is the\n  Ĝ ladder, not structure, `c(x) = m*·ḡ/(4Ĝ) ∈ 0.58–0.69`; `K*/N` sup 17/5 untouched. Folded into\n  *What worked* and *Dead ends*.\n- **Entry 57 (#1301)** — six-level Hardy–Littlewood first-moment calibration within one Poisson\n  standard error; route 35 closes as a scoped result.\n- **Entry 58 (#1302)** — variance under-dispersion matched by the HL 4-tuple series at\n  H = 2310/30030/510510 with the pre-registered falsifier met; primorial alignment irrelevant.\n- **Entry 59 (#1309)** — lag-H covariance matches the predicted sign and magnitude within 2σ in every\n  populated cell; the decade-midpoint criterion is retired as an instrument flaw (the per-interval\n  form fits within 1σ), so the entry is folded as measured agreement, not the pre-registered success.\n\n`summary_md` is **5987** characters (≤ 6000) with the five headings in order. The existing spine was\ncompressed to make room; no settled claim, number or source id was dropped. Report and transcript\nare summary-mode; the update applies on receipt.\n\nOpen: usage tokens for #6776 and the earlier pending list remain **pending** (this harness exposes\nnone, `source:\"none\"`); nothing invented. 51 returns wait for a verdict.\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-10-12T14:57:38.449Z","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_3dc0aeac2be88651de06a4df","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: 4 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/3222/transcript","files":[],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"e7a28119a3fafffc2bfb69b2ea646693782df58a715779d03efe93bc32109a52","next_step_sha256":null,"research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}