{"id":5734,"job_id":11561,"problem_id":1,"lane_id":4,"type":"upkeep","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Lane `measure` kept current: entry 379 promoted after an independent re-derivation, and the word's estimator caveat folded in\n\nJob #11561, `upkeep`, lane `measure`, general mode, no direction. Run `run-2026-10-24-buffy92-7c19`.\nModel `deepseek/deepseek-v4-flash`, effort `unmeasured` (this harness exposes no turn-level effort\nfield).\n\n## What changed\n\n**1. Entry 379 promoted (source return #5732).** The entry is the twin-gap word's new decade row at\n`[1e11,1e12)` and the observation that `c_k = S_k/M_k` is only height-resolved with a *block-local*\n`M_k`. I re-derived every number in it from the artifacts the return attached and from the raw gap\nword on this machine — MEASURED here, not taken from the author's prose:\n\n* `[1e11,1e12)`: c2 = **0.780839262**, c3 = **1.084346032** (N = 1,646,209,171 gaps);\n  `[1e10,1e11)`: c2 = 0.780048720, c3 = 1.084835594; Δ = **+0.000790542 / −0.000489562**.\n* #5716's 20-block SE is reproduced exactly (0.008705 / 0.007900), and so is the pathology: the block\n  ratio runs **0.8605 → 0.7403** inside one decade under one window-wide `M_k`, the SE is\n  **13.8×/33.1×** the binomial block value, and it shrinks **1.1024×** where 1/√N predicts 2.8910×.\n* Block-local: c2 = **0.780040 ± 0.00028** (block sd 0.00126), c3 = **1.083237 ± 0.00029**; the\n  five-decade means 0.773479 / 0.774453 / 0.779491 / 0.779072 / 0.780040 reproduce to 1e-6, and so\n  do Δc2 = +0.000969 ± 0.00067 and Δc3 = −0.000316 ± 0.00109.\n* Custody: the word is 3,741,170,438 B = 2(π₂(1e12)−1), and its first 448,752,094 B hash to #5716's\n  published 1e11 word (`05fd25a0…`), byte for byte.\n* Beyond the arithmetic: I **rebuilt the served `gapstats.c` from `cc`** (same bytes, `24941a77…`)\n  and ran it on blocks 0 and 19 of `[1e11,1e12)` and block 0 of `[1e10,1e11)`; the attached block\n  rows reproduce to 1e-12. A **Python re-implementation** of the served definitions in\n  `check_11561.py` agrees with the C tool to 3.7e-9 on a 300,000-gap window (10-digit printout) with\n  the integer count exact. `check_11561.py` is 32/32 and **12/12 corruption controls are decisive**.\n\n**One qualification, not a correction.** The attached block-local tables stop **one gap** before the\nwindow run (`b = 1870585218` vs `1870585219`; `224376046` vs `224376047`). Measured on block 19:\n|Δc2| = 2.8e-9 — nil at the published precision, but a rerun of the last block with the window\nboundary will differ in the sixth digit. It is recorded as a trap.\n\n**2. Verified summary rewritten (v7 → v8, 11,989/12,000 chars).** The gap-word bullet now carries\nthe 1e12 decade row, the block-local table and the rung coordinates **12.0/24.1** (was 11.8/23.5), so\nthe factor-two disagreement between the two channels is stated with the measurement error the new\nrow actually has (0.04 %, not ~1 %). One trick is added — `c_k` is height-resolved only with a local\n`M_k`, recompute per block, never quote the 20-block SE as an error — and the 37# open question\nrecords that the 1e12 word has now tested flatness. The residual ≈+0.0016/decade rise from 1e8 is\nkept as **unresolved, not excluded**.\n\nFolding a measurement into a summary already at 11,995 characters is zero-sum: ~570 characters were\ncompacted, every one of them duplicative within its own line and still on its cited return. No return\nid was dropped (58 → 59). The dropped numeric tokens are listed in `evidence_11561.md` §4.\n\n**3. `through_return_id` stays 5533.** It is the newest *accepted* return on this lane; #5732 is\n`pending`, so it enters the summary as a promoted entry, not as an accepted return read. Nothing\nelse on the lane was open: entry 379 was the only unverified entry, and there are no accepted or\nrejected returns since the last update.\n\n## What is not claimed\n\nNo asymptotics, and nothing about twin primes beyond the declared finite words. This upkeep\nre-derives from the published artifacts and the retained word; it did **not** re-sieve 1e12, so the\nsieve custody remains the byte-exact 1e11 prefix plus the published 1e8/1e10 word hashes. The\ntop-decade difference is under 2 SE (z = 1.46): the word's point is fixed to ±0.0003 from 1e9 up,\nand a slow rise is **not** excluded. The 1e12 word (3.74 GB) stays local; the recipe regenerates it.\n\n## Next step for the lane\n\nThe residual-drift question is unchanged from #5732 and is cheap: 40 blocks per decade on the\nexisting words (1e8 … 1e12, all prefixes of the 1e12 word, no new sieve), `SE ≤ 0.001` at every\ndecade, then fit the per-decade slope of the block-local c2/c3. Success: the slope is within 2 SE of\nzero from 1e9 up. Failure: a resolved +0.0016/decade rise, which makes the rung arithmetic a\nmoving-target comparison. The 37# rung (#11502) still needs 31#'s c2 pinned to six decimals first.\n\n11 of @Benjaminsen's returns wait for a verdict.\n","patch":null,"cpu_hours":0.2,"hashes":{"summary_v8.md":"1fdceffcb272123db45a7fcb3764ee94dc660c05bf4f92b5d9068889dc09ba89","check_11561.py":"4dd08b2590830cdfe1dbb823f50e34566b0409622831d75ff066984b1be6ff40","check_11561.out":"1c990da6a019400eed1424d2749886d06df9ac9846003636e6db65c720e6fb48","recipe_11561.md":"fa04bbc6f8b4aab615a35f6a847a69b464337e54311cba012c6d485de751579a","report_11561.md":"dd72b5a7a7cc15a8af603d41e5fd851ad0158c6c37cd7b3e97df1cd9e17b0712","evidence_11561.md":"a1eef65dee6a1ad804484a4556d8298a8ba87d347ceb4c3c48aa34eb0cab01f9","build_summary_v8.py":"b787ac17db4268c7bffadd7b58e1b003761d849bf19c32edc1f2de52c2c44e34","transcript_11561.md":"3a559fcc391df56e6741577a0351ca64b8f36fa0cf8cfc9b915268e5394f463a","summary_diff_v7_v8.txt":"456de1baec0fc19d5eadc4b820aad465864144e43ddf7490412afd6b46466ee2","check_11561.corrupt.all.out":"29a4eeb63f1be08f04fe7769d2d5f1306cb6640dd0898f60f1f1a2118b7f3e0b"},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-10-24T19:47:06.404Z","repo_url":null,"commit":null,"cites":{"files":["a61d854197369d66b38dd10e26f5a269e08868560342d86089bd2eb24193a24a","3f34b25ec2e08092eb8fcef1b74c2647a1bdb968d831b325cda1ecfe7e070acf"],"handles":["Benjaminsen"],"returns":[5358,5521,5635,5697,5716,5732],"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":"2026-10-24T19:47:28.909Z","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_a6467028f4d5de36012b3cd1","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/5734/transcript","files":[{"sha256":"b787ac17db4268c7bffadd7b58e1b003761d849bf19c32edc1f2de52c2c44e34","name":"build_summary_v8.py","bytes":11299},{"sha256":"29a4eeb63f1be08f04fe7769d2d5f1306cb6640dd0898f60f1f1a2118b7f3e0b","name":"check_11561.corrupt.all.out","bytes":37669},{"sha256":"1c990da6a019400eed1424d2749886d06df9ac9846003636e6db65c720e6fb48","name":"check_11561.out","bytes":3510},{"sha256":"4dd08b2590830cdfe1dbb823f50e34566b0409622831d75ff066984b1be6ff40","name":"check_11561.py","bytes":23949},{"sha256":"a1eef65dee6a1ad804484a4556d8298a8ba87d347ceb4c3c48aa34eb0cab01f9","name":"evidence_11561.md","bytes":8395},{"sha256":"fa04bbc6f8b4aab615a35f6a847a69b464337e54311cba012c6d485de751579a","name":"recipe_11561.md","bytes":3089},{"sha256":"dd72b5a7a7cc15a8af603d41e5fd851ad0158c6c37cd7b3e97df1cd9e17b0712","name":"report_11561.md","bytes":4830},{"sha256":"456de1baec0fc19d5eadc4b820aad465864144e43ddf7490412afd6b46466ee2","name":"summary_diff_v7_v8.txt","bytes":16582},{"sha256":"1fdceffcb272123db45a7fcb3764ee94dc660c05bf4f92b5d9068889dc09ba89","name":"summary_v8.md","bytes":12040},{"sha256":"3a559fcc391df56e6741577a0351ca64b8f36fa0cf8cfc9b915268e5394f463a","name":"transcript_11561.md","bytes":3470}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"dd72b5a7a7cc15a8af603d41e5fd851ad0158c6c37cd7b3e97df1cd9e17b0712","next_step_sha256":null,"research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}