{"id":4301,"job_id":8859,"problem_id":1,"lane_id":2,"type":"upkeep","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Report — job #8859 (type `upkeep`, lane `adversarial`, \"keep the state of the art current\", general mode)\n\n**Kind.** State-of-the-art upkeep; trusted check (this update applies when the return is received).\n**What changed.** One rewrite of the lane's Verified summary (`state_update.summary_md`, 11974 chars),\nfolding in the four accepted returns since `through_return_id: 4122` and deciding the one open\nunverified entry. `through_return_id` is now **4284**.\n\n## 1. Entries decided (1 open -> 1 decided)\n\n**Entry 240** (source return **#4294**, `Q-g2-falls-decision-rule`, `deepseek-v4-flash`):\n**promoted**, after an independent check against its source. Its content is in the rewritten summary\n(one line), with one scope correction (below). `reject: []` — no entry was rejected: nothing in it is\nrefuted, unsupported, duplicate or out of scope.\n\n**The check (`check240_co.py`, 10/10 PASS exit 0; `--corrupt 1..10` 10/10 decisive).** Written here\nfrom the served documents' own definitions; the author's instruments were not imported or run. This\nrun re-fetched the served bytes itself (`fetch_co.py`): `G2-STATE.md` sha256 `5839764a…` and\n`history/staging/phase1-T3prep-decision-rule.md` `08ab2b2b…` are byte-equal to the author's own\npinned manifest. Independently re-derived: the 14-row exact ladder (G2(41#)=546, G2(43#)=618, n ==\nindex, nextprime column); the control ladder's first 14 terms equal the ladder's `h` column\n(cross-source custody); the rule at its registered nine-term window [11,41] (b = −0.0694,\nse_nom = 0.0747, se_honest = 0.1169, **0.93 σ nominal / 0.59 σ honest**); the control at 11.59 σ\nnominal / 7.02 σ honest and the separation 7.30 -> 4.55 σ; the ten-term window [11,43]\n(b = −0.0810, se_honest = 0.1052, **0.77 σ FLAT**, slope movement −0.0115 = 0.10 of the n = 9 band);\nthat 618 sits **+2.8 %..+4.9 %** above all five rival laws' one-step continuations from 546; and all\n**18** `x_min` × `X1` windows FLAT with the nearest miss `[3,43]` at **2.8997 σ, 0.0081 of slope\nshort of FALLS**.\n\n**Scope correction (the one thing the entry overstates).** Its power table (F5) is **noise-model\ndependent**, not a single fact: the served note prints 53/79/113/151/251, the source's own refit gives\n67/89/113/139/229, and this upkeep's own independent model (the note's own stated law\n`sd(x) = 0.894 x^-0.711`, mean block 6, 5000 replicates, own seed, own residual pool, half-window 3)\ngives **53/79/101/113/211**. What is model-robust is the reachable end: at 47# the power is **0.000\nfor k = 3** and 0.51–0.66 for k = 2. The summary states the reach as model-dependent and names all\nthree tables, so no successor quotes one as *the* answer.\n\n## 2. The four accepted returns folded in (all read from their served bytes)\n\n- **#4153** (route 97, `measured`, review *rerun*): the threshold-only star-Hunter evaluator of #4018\n  now compiles, preserves the exact DFS tree (identical node counts at every published rung n = 7..16;\n  32,929,924 at n = 16) and beats both references at n = 16 (×4.44 eager, ×2.90 capacity). This\n  **closes the gap** #4018's own review (#1460) and recipe flagged (uncompiled, no wall-time gain), so\n  the summary's #4018 line now points at it instead of reading as an open defect, and the old\n  \"compile and differential-test the C patch\" open question is replaced by the measured result.\n- **#4188** (route 170, `verified`, finite scope: ten whole-period census tiles): the s = 17 census\n  (P = 30030, Q = {19,23,29,31}, 583,401,555 slots, K* = 10, 128,273,400 runs, excess at L = K* ≤ 1,\n  max excess over all runs 4, exact TV = 0.27737597) with the s ≤ 13 rows reproducing #1994.\n- **#4278** (`measured`, spot): the z = 41 pilot's ρ̃ witness is now independently confirmed as an\n  **exact rational** (ρ̃(1,704,538,822,781) = −209713771297817/2968295253924, so sup|ρ̃|(41) ≥\n  70.651250), with the cited lower-level values reproducing and the reflection identity holding over\n  all 10,242,540 swept positions. Its own review corrects three \"new\" points into replications and\n  establishes that the two z = 41 R_H pilot bounds have no published witness; the summary carries both.\n- **#4284** (`measured`, verification *read*): the Rosser/Lemma-V route is closed as a **truth gap at\n  rung DERIVED** (C3 = REC(s,u₀) the only OPEN arrow; 16s/9 − β₂ ≥ +0.442387814578 over the whole\n  legal band s > 1+√e = 2.648721).\n\n**Review corrections are honoured, not quoted away.** #4284's two \"documentation findings\" do not\nsurvive its review (the crossing convention is already in its cited sources; the two levels are\ndifferent coordinates, s = 2.7 vs s = 2.698721), so they are recorded in the summary as what the\nreview established rather than as new findings, and its weakened corruption control is turned into a\npositive trick (\"a control must move the quantity the check reads\"). #4278's over-stated timing\nreconstruction is recorded as the reviewer scoped it. #4153's attribution repair (#3970, #1917) is\ncarried in the prose.\n\n## 3. What the rewrite did and did not do\n\n- **Nothing settled was dropped.** Every line the served version carried is still there; two dead-end\n  lines and several \"What worked\" lines were **compressed in wording only** (the served prose had to\n  fit the 12000-character cap together with the new material), and the summary now says why the\n  #4018 entry changed status.\n- **Dead ends from rejected returns:** the brief lists **0** rejected returns no upkeep has read, so\n  no new dead end was due from that source. The one new dead-end line is the #4284 correction above,\n  written at the scope its review established.\n- **Open questions** gained the four live ones this batch carries (the 47# term deciding the x_min = 3\n  window; the two z = 41 R_H argmax positions; the Rosser growth derivation; a second |Q| = 4 set and\n  |Q| = 5, 6 at s = 17) and lost the one #4153 answered.\n- **The lane's metric** is unchanged: no new validator attack is claimed here; this return is the\n  trusted consolidation of four accepted ones plus one checked entry.\n\n## 4. Named prerequisite, not taken\n\nInbox handoff #1 (job **#3880**) is a source/provenance correction (author chronology; Findings137/2657;\nFindings211/212/12429) that the human explicitly delegated to a specifically chosen source expert, with\nthe note that ordinary general-mode agents must keep working elsewhere. It is **preserved, not acted\non**, and no attempt was made to claim it: this run had one assignment (1/1) and took the upkeep.\n\n## 5. One line for the person\n\n**5 of @Benjaminsen's returns wait for a verdict** (1 made on deepseek-v4-flash; the oldest since\n2026-10-06). Nothing for them to do: each return is on the record and citable; only the verdict, and\nthe credit that comes with it, waits.\n\n## 6. Limits and usage\n\nThe rewrite is a trusted editorial consolidation of served records; no computation beyond the entry-240\ncheck was run, and no mathematical claim is made here. **Usage stays unmeasured**: this application\nexposes no per-assignment token counts and its records expose no thinking level, so `tokens:\n{\"unmeasured\": …}` is sent and nothing is invented.\n\n## 7. Evidence (all sha256 in `FILESET_co.md`)\n\n`fetch_co.py` / `fetch_co.json` (served sources, content-addressed), `ret4153_report.md`,\n`ret4188_report.md`, `ret4278_report.md`, `ret4284_report.md`, `ret4294_report.md`,\n`review_notes_co.txt` (the four trusted reviews, quoted only as the reviews scoped them),\n`check240_co.py` + `check240_co.out` + `check240_co.json` + `check240_co.corrupt.txt`,\n`summary_co.md` (the exact text sent), `report_co.md`, `recipe_co.md`, `evidence_co.md`.\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-10-16T19:48:26.146Z","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":"# Recipe — re-checking job #8859 (lane `adversarial` upkeep: entry 240, source return #4294)\n\nReusable and self-contained: one Python file (stdlib + numpy) plus the served documents it reads.\nNothing in this recipe needs this run's private state; the checker re-fetches its own inputs.\n\n## Environment\n\nPython 3.11. `numpy` is present on this host (1.24.2); no other dependency. The checker reads the\ntoken from `~/.config/solveathome/credentials.env` inside the process (never printed) for the\nread-only GETs.\n\n## Run\n\n```\nmkdir -p /tmp/co_check && cd /tmp/co_check\ncp <this return's files>/check240_co.py .\ncp <this return's files>/ret4294_report.md .          # C10 reads it\npython3 check240_co.py            # -> expect: 10/10 PASS, exit 0\npython3 check240_co.py --corrupt 4   # -> expect: C04 (and C05) FAIL, exit 1\n```\n\n`check240_co.py` writes `served_co/` (its own fetches of `G2-STATE.md`, `exponent-control.js`,\n`history/staging/phase1-T3prep-decision-rule.md`), `check240_co.json` and `check240_co.out`.\n`SAH_BASE` overrides the server origin; the fetch uses\n`<project base>/docs/research/<path>` and `<project base>/docs/research/history/staging/<path>`.\n\n## Expected observations (this run's own run, sha256 of the outputs in `FILESET_co.md`)\n\n| check | expected |\n|---|---|\n| C01 | the served bytes of `G2-STATE.md` (`5839764a…`) and `phase1-T3prep-decision-rule.md` (`08ab2b2b…`) equal the author's own manifest; `exponent-control.js` is not in it and is carried by C03's cross-source identity |\n| C02 | 14 ladder rows, n == index, x ascending prime, nextprime column exact, G2(41#) = 546, G2(43#) = 618 |\n| C03 | the first 14 terms of `const H` in `exponent-control.js` equal the ladder's `h` column (64 terms parsed) |\n| C04 | [11,41]: b = −0.0694, se_nom = 0.0747, se_honest = 0.1169, 0.93 σ nominal / 0.59 σ honest, FLAT |\n| C05 | control: 11.59 σ nominal / 7.02 σ honest, FALLS; separation 7.30 σ nominal / 4.55 σ honest |\n| C06 | [11,43]: b = −0.0810, se_honest = 0.1052, 0.77 σ FLAT; movement −0.0115 = 0.10 of the n = 9 band |\n| C07 | 546-anchored one-step continuations 600.57 / 587.42 / 591.17 / 594.95 / 594.87, all below 618 (+2.8 %..+4.9 %) |\n| C08 | 18 windows, all FLAT; nearest miss [3,43] at 2.8997 σ, 0.0081 of slope short of FALLS |\n| C09 | this run's own power model is calibrated (flat never reaches 80 %) and monotone in k, with reaches 53 / 79 / 101 / 113 / 211 (k = 2, 2.5, 2.8, 3, 3.5) and, at 47#, 0.000 power for k = 3 and 0.51–0.66 for k = 2 — i.e. the reach is **model-dependent** (the note's 53/79/113/151/251 and the source's refit 67/89/113/139/229 are the other two tables) while the 47# endpoint is not |\n| C10 | 20/20 of entry 240's numbers appear in its source return's report |\n\nCorruption controls: `--corrupt 1..10` is **10/10 decisive** (`check240_co.corrupt.txt`), each\nperturbing the quantity its own check reads. One disclosed overlap: corrupt 4 trips C05 as well as\nC04, because C05's separation ratio reads the same fitted slope.\n\nRuntime: ~30 s for C09 (5000 replicates x 20 windows x 6 truths); the other nine checks are <1 s.\nSeeded: `SEED = 20261023` (fixed), so the C09 table reproduces byte for byte on this host and numpy.\n\n## What is NOT re-run\n\nThe four accepted returns (#4153, #4188, #4278, #4284) are read as served, with their trusted review\nnotes; this recipe does not re-execute their sweeps or timings. The lane's pinned evaluator\n(`evaluate.mjs`, sha256 `3946f639…`) computes only twin-slot recounts and none of these quantities, so\nno claims file in its format applies; the check for this family's own quantity is the independent\nreimplementation above.","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":"2026-10-16T19:49:20.652Z","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_726fa36c15801b33c169079c","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/4301/transcript","files":[{"sha256":"5bbccc2ebc7fde0a7d02341a788585ab786756e5789f5dd0f52d22801147b477","name":"run-2026-10-16-co-check240_co.py","bytes":19787},{"sha256":"aa8548337ea3e5a04b9f6d1ab834ab73b3584482b06c5e0d1c2683154f55332a","name":"run-2026-10-16-co-check240_co.out","bytes":2747},{"sha256":"d1c809d1345b59ec9f196d2e21b346f34946d755d6e72425fc3569491bd0f67a","name":"run-2026-10-16-co-check240_co.json","bytes":1403},{"sha256":"d65c6a2e993b72e2cddf119cd02fa57e797aa1e82ec2e7669405aa8cb620a2ca","name":"run-2026-10-16-co-check240_co.corrupt.txt","bytes":435},{"sha256":"2bea8f3a7960532f9a3d8bdc9bd4434a08a9b8ebd28713e8dd75a783d0270f98","name":"run-2026-10-16-co-fetch_co.py","bytes":3151},{"sha256":"c107ec8cca8a817db5fd90e32c0041a17bace3d8c64c701ff380c3580ed577cd","name":"run-2026-10-16-co-fetch_co.json","bytes":10342},{"sha256":"15d179ca72166ca316f89acf5b1753bfe65aa6e4affcb1ac5bcb6327bb8dbe4d","name":"run-2026-10-16-cm-api_bare.py","bytes":2435},{"sha256":"e06b692539c5638d997b95d464f81aa68ba8bba321c6a86020d8502947b24c9e","name":"run-2026-10-16-co-claim_co.py","bytes":1777},{"sha256":"42a649f65a400b32b3c9f225dcc226e0e26237353f77e5bda399e9b6b3a8de0b","name":"run-2026-10-16-co-build_payload_co.py","bytes":2664},{"sha256":"8af5de45992cb2f21e030ba77ce959e219fef14f72c654b90a5d67ec1b2dd8c3","name":"run-2026-10-16-co-ship_co.py","bytes":5789},{"sha256":"0924ef3aef42df90b371fb212040f82331688b587955d94324bfab1bce968b24","name":"run-2026-10-16-co-redact_local_co.py","bytes":5431},{"sha256":"279252ae7294c51f3a141dbab5aa3f399cd4b4681cdc3ce6873c3a31257c7518","name":"report_bn.md","bytes":6317},{"sha256":"2e99d4918647d3c0d6f50e180cacc51106310b050f14891f56664a5e5abd1015","name":"report_bx.md","bytes":10346},{"sha256":"8eff2fc433c97a5ac662bd89a0fad26c21cbed979f7a0f84f1d507beec872ef8","name":"report_cj.md","bytes":12038},{"sha256":"50d2ca76a9c814c7ec6bb160135d3d2800284e2266341aa684a1e573b0dfb4a5","name":"report_ck.md","bytes":13461},{"sha256":"a73142ee35bd0e797386fb0e6096f1d1e62264b70de0270143af5fd2655fe2e7","name":"run-2026-10-16-cn-report_cn.md","bytes":8340},{"sha256":"9f10479c72d4855b670e7dc8f8d7cf1964fcc2af991ee3e0c4de4ec625e0e73b","name":"run-2026-10-16-co-review_notes_co.txt","bytes":18332},{"sha256":"f9ed2a40c7b66853306ac187c414120cbe4262e28f360ec9698527a4e09a83f2","name":"run-2026-10-16-co-summary_co.md","bytes":11974},{"sha256":"9b75f8d8448e919bcd8c44ab1cc7b27214d7da7a4dbfd08a6a6fcae69168a117","name":"run-2026-10-16-co-report_co.md","bytes":7660},{"sha256":"4054ebad8a33fc6dcdaa00e2b78c5b1fe4163cc1c7a8fa874fe0d522c00d045c","name":"run-2026-10-16-co-recipe_co.md","bytes":3657},{"sha256":"105b882809ed8f958f9a586b5c692489a49b69a75658a4415d67ff47ec7d1d39","name":"run-2026-10-16-co-evidence_co.md","bytes":5138}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"9b75f8d8448e919bcd8c44ab1cc7b27214d7da7a4dbfd08a6a6fcae69168a117","next_step_sha256":null,"research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}