{"id":5364,"job_id":10710,"problem_id":1,"lane_id":3,"type":"upkeep","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Lane `formalize` state-of-the-art upkeep (job #10710): v13 folds #5353 and promotes entry 356\n\n## What changed in the lane summary (v12 -> v13)\n\n**1. Folded the one accepted return since the last update, #5353 (measured).** Route 4, job #8130: on a\nfresh p = 97 block a root-only capacity rule (smallest prime in `argmax_q M(q)`, no root LP at depth 0)\nclosed 40/40 with checked certificates at **348,800 vs 392,653 charged LP (-11.17 %)**; it is cheaper on\n33/40 supports, worse on 6, and it spends **more** certificate (71,455 vs 67,898 records). Placed inside\nthe existing route-4 certificate bullet, because it is the same object and rung as #3736, with the\ncaution the return itself insists on: \"cheapest root\" must name which cost it means, and one block is\nnot a per-instance rule.\n\n**2. Promoted entry 356** (source return #5362, type explore, status recorded, rung recorded->measured by\nits author). Its content: on the **real** twin-pair gap word at 14 pre-registered class bands,\n1e7-1e10, no two-step reversal asymmetry above noise (z = +0.65 at 1e10, delta = 7.77e-4 below the\nmatched reversible null's median 8.03e-4; halves -0.29/+1.61), exact-zero positive control at 19#/23#,\ndrift power 87.5 sigma at delta = 1.1e-3. That is the real-data check of the reflection laws the lane\nproves for `Z_x`, so it belongs in Best results, with its limit stated: inside-band (value-level)\nasymmetry is untested. I checked it against its source before promoting: all 20 numeric tokens in the\nentry appear in #5362's disclosed report (the range phrase aside), and 9/9 explicit claim checks pass\n(z, delta, null median, halves, 1e9, 1e8, exact-zero control, power, 14 bands).\n\n**3. through_return_id = 5353**, the newest **accepted** return I read. #5362 is the promoted entry's\nsource but is `recorded`, not accepted, so it is not the marker.\n\n**4. No rejects**: the brief lists 0 rejected returns not yet read, so no new dead-end line is due. The\ndead-ends section is otherwise unchanged except for compression below.\n\n## Compression disclosure (cap 12,000; v12 was already 11,967)\n\nThe summary is 11,952 characters, the five headings in the required order, and it keeps the five-section\nshape and every return id v12 carried except the out-of-scope bookkeeping list named below. Forced\ncondensations, all of presentation rather than of findings:\n\n- v12's preamble (out-of-scope scans #2182/2240/2253/2365/2584/2718, repairs #2215/2218/2885/2921/3296,\n  bookkeeping #1907/3852, unverifiable #1357/#3711) is dropped; it remains in v12 (#5357).\n- #4315 and #4333 keep their claims, calibration and pointers but share one line; their individual\n  numbers (the 4S2 series, the 81/400 counted norms, the Jmax=4 row) stay in their returns.\n- #4554's constructive consequence (\"needs a regime-restricted C(N/Q^2)\") now appears once, in the open\n  routes line, instead of twice.\n- #5353's wall-time ratio and worst single loss, and #5110's secondary gap list, are in their returns.\n- Nothing else was cut: no id disappeared from the summary except the out-of-scope list above.\n\n## Limits\n\n- An upkeep is not a scientific verdict. Entry 356's physics is #5362's, at class-level resolution only\n  (14 bands, four finite heights); its consequence for #5358 is an inference from that null and does not\n  test value-level structure. #5353 is one block, one tie rule, one solver.\n- Nothing here proposes a mechanism for the 0.64 order factor or for the reversal symmetry itself.\n- 6 of @Benjaminsen's returns wait for a verdict; nothing is needed from the person for that.\n\n## Evidence and checks\n\n- `summary_v13.md` (the exact `summary_md`, 11,952 chars, sha256 in the run directory), `report_dc.md`,\n  `lane_formalize.json` (v12 + open entries as served), `return_5353.json`, `return_5362.json`,\n  `entry_356.md`, `summary_v12.md`.\n- Checks run locally: cap and heading order; id set compared with v12; entry-356-to-source number match\n  (20 tokens, 9 claim checks); #5353 number match (8/8); publication scrub and final outbound scan via\n  the tested completion path.\n- Compute: ~0 CPU-h (text work and served reads only); no process left running.\n","patch":null,"cpu_hours":0,"hashes":{"verify_dc_10710.json":"1e527f802dccc43a34f78e2621d9958dbdd170659472cfae2488de845c4a5b2a"},"author_rung":"measured","status":"recorded","final_rung":"recorded","created_at":"2026-10-22T04:12:19.972Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[5353,5362],"messages":[]},"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":"2026-10-22T04:15:26.530Z","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_cb30a88139dc5f9da171e68c","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/5364/transcript","files":[{"sha256":"1e527f802dccc43a34f78e2621d9958dbdd170659472cfae2488de845c4a5b2a","name":"verify_dc_10710.json","bytes":1143}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"362ce84682d671e107d73eb48336fb33aca9d8cfedd9e9f3adc9714f78006be1","next_step_sha256":null,"research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}