{"id":5715,"job_id":11527,"problem_id":1,"lane_id":2,"type":"upkeep","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Lane `adversarial` upkeep (job #11527): entry 374 checked against its source (#5711) and promoted; summary v11 -> v12 with the four accepted returns since #5309 folded in\n\nTrusted upkeep (type `upkeep`) of lane **adversarial** (Break accepted lemmas: counterexample search against\nvalidators), general mode, no direction. Delivered: `state_update` with a rewritten 11,995-character Verified\nsummary (cap 12,000), entry **374 promoted**, `through_return_id` **5539**. No rejected return needed reading\n(`rejected_since: 0`), so the Dead ends section gained no entry of that kind; it gained one this upkeep found in\nan accepted return (§3).\n\n## 1. Entry 374 (source return #5711) — checked and promoted\n\nEntry 374 says route 242's held step (a denser post-transient ladder for `c(1e19)`, set by #4475) is **answered\non the record** by #1094's dense TOS grid and #1106's per-anchor re-measurement, that route 242's `c` is that\namplitude over `sqrt(x)` under an exact identity, and that every measured anchor is below the pre-registered\n0.0286 threshold, so the step's \"the slope loses\" branch fires. I checked it against the sources it names, not\nagainst its own restatement:\n\n| check | result |\n|---|---|\n| the unit map `W = kappa*sigma/M'(x)` = `c*kappa*sqrt(x)*(ln x)^2/(2C2)` under `c = sigma/sqrt(x)`: the shape constant at `1e19` | **1.375243e13**, matching #4475's published constant to 1e-6 (C01) |\n| #1094's own three `W(1e19)` rows, recomputed from its own `sigma(1e19)` entries as `sigma/sqrt(x)*shape` | reproduced to **1.9%, 4.4%, 4.6%** (C02); the residual is #1094's table rounding and its own `M'`, as #5711 discloses |\n| #5711's 14-cell anchor `c`-table against #1094's `sigma_rms`/`sigma_dn` rows at 1e13..1e18 | **worst 0.167%** (C03) — the table is a transcription, not a new measurement |\n| #1106's drift facts (`b = -0.039`, null `-0.009 ± 0.026`, p95 0.053, 13 anchors, corrected `2.0e11`) | present verbatim in #1106 (C04) |\n| #4475's threshold (0.0286) and win branch (0.052677) and its decade-differenced estimator | present in #4475 (C05) |\n| the decision: worst measured anchor 0.0159, law 0.0084, rms 0.0023 — all `< 0.0286`; the win branch is **6.26x** the law value | holds (C06) |\n| `W_slope/W_level` = 7.244e11 / (1.013e11..1.157e11) | **7.15 / 6.26** (C07) |\n| no published census above `10^18.602`; half-decade drift bound `10^(-0.053*0.5)` = 0.9407 (≤5.9%) | holds (C08) |\n\nPromoted, on the strength of that: the entry's substance is now one line in Best results (the density of the\nstatement, not the derivation), and the estimator reconciliation it leaves open is untouched. **Calibration\nkept at the entry's own rung**: this is a comparison of recorded numbers, not a new measurement (`cpu_hours`\n0.0 in #5711); #1094/#1106 are `recorded`/`measured`, not accepted returns, and the entry says so.\n\n## 2. The four accepted returns since #5309, folded\n\n- **#5513** (route 273, `proven`) — the lam1 band transfer `V_w(E,Q) << (log E)^(-A)` for `y >= E^(1/3)`,\n  `Q <= E^(1-eps)`, on Harper 2012 Thm 2 alone, with a priced grid replacing the Rademacher–Menshov import;\n  its §7 source correction (Harper 2025 reports Vaughan's range as `y <= x^{2/[3(loglog x)^4]}`, so\n  `u >= (3/2)(loglog x)^4`, not `3/2`) is carried into the open question for route 273.\n- **#5539** (route 273, `proven`) — the lam0 endpoint `V_a(x,Q) << x^2 log^{-H}x + xQ log^6x` for\n  `y >= x^eta`, giving `V_0(E,Q) << ell^{-A}`, via a hyperbola split plus Harper's multiplicative large sieve\n  with the imprimitive-character correction written explicitly. Its limits (no decay when `Q/E` is bounded\n  away from 0; no `M > log L` tail; no kernel/main-term cell; ineffective constants; not machine-checked) are\n  in the summary line, and the remaining obligations are in Open questions.\n- **#5368** (route 171, `measured`) — the `|Q|`-axis low end: `|Q|=1` has no killed run `>= 3` at all,\n  `|Q|=2 {13,17}` at `r_N3 0.3626`, `r_T 0.0`, both disjoint below #5309's `|Q|=3/4` bands; the heavy\n  `Q5`/`K510`/`H` rungs are priced (55.49 s/draw, 4.9 GB) and running detached, which the Open questions line\n  hands to a successor.\n- **#5486** (route 170, `measured`) — excess at `L=K*` stays `<= 1` in all sixteen measured rows, `K*` rises\n  with `|Q|` (10 -> 15 at `P=30030`; 8 -> 13 -> 18 at `P=210`) but is **not** a function of `(tile,|Q|)`\n  (10, 10, 8 for three `|Q|=4` sets). Its step's non-degeneracy clause **fails**, and the review's own\n  diagnosis — the extreme stratum is a thin, selection-conditioned point mass (one `mu`-vector; already so at\n  unchanged `s=10/13`), while the deviation lives in the bulk (`TV 0.40..0.50` at `L=1..4`) — is summarized as\n  a caution rather than a refutation of the route's weakest assumption.\n\n#5486's re-derivation of all ten #4188 rows is recorded as a preservation check in its own return; the summary\nkeeps #4188's row values and does not restate the recomputation.\n\n## 3. What the rewrite cost, and every drop\n\nv11 was 11,990 characters, i.e. at the cap, so folding four accepted returns plus one entry required giving\ncharacters back. Compression was by wording; six statements were dropped, each either duplicated elsewhere in\nthe document or reduced to its actionable part:\n\n1. **`Vaughan 1998 [23]/[24]`** as route 273's next source read — superseded by #5513's correction: Harper\n   reports the actual range, so the summary now states the range requirement `u >= (3/2)(loglog x)^4`.\n2. **z=41's \"4.8 h readings historical (2026-08-30), tail 2 = 10.47 h\"** — duplicated by the open-questions\n   pricing line (\"unrun segments price at ~10.5 h, not 4.8 h\"), which is kept.\n3. **`kappa-not-L.md:51 still prints the averaged bound #12 refuted`** — an errata to-do whose substance (the\n   #12 refutation) is stated in Best results; nothing to build on.\n4. **The pre-registered confirmatory-test slot `H=(30030,{17,19,23,29})`** — #5486 has now run the same-tile\n   `|Q|=4` sets and `|Q|=5`, so the slot is executed; the open line states the next rung instead.\n5. **The `A=720` dual covered-set DP state count (6,062,733 states at L=360 by p=29)** — the actionable part\n   (\"A=720 is out of reach\") is kept in Open questions; the count is in #2575.\n6. **\"best lever 1.34x\"** and the bare revision ids `rev.1459`/`rev.1125`/`rev.22` — asides on retained claims.\n\n`check_upkeep.py` (the lane's own gate from run-2026-10-24-buffy84) confirms: 11,995 <= 12,000, the five headings\nin order, **no return id of v11 lost** (57 -> 63 ids). The numeric tokens it reports as no longer present are\nexactly the six drops above plus `1.34`, `1459`, `1125`, `22`, `51`, `2026`, `10.47`, `6,062,733` and `17,19,23,29`.\n\n## 4. Checks actually run (this return's evidence is `upkeep_11527.py`, 17 checks, exit 0)\n\n`python3 upkeep_11527.py` -> **17/17 PASS, exit 0** (`upkeep_11527.json`). `--corrupt 1..12` -> **12/12\ndecisive**: every mutation fails exactly one check and no other, exit 1 (`upkeep_11527.corrupt.out`). The\nmutations include a +50-character summary (cap), a renamed heading, a lost `#5368`, a moved entry id, a changed\nsource return, a removed newest-accepted return, and altered numbers in each of #1094/#1106/#4475/#5711.\n\n## 5. Scope and limits\n\n- This is a **register upkeep**: no new mathematics and no new measurement. The folded numbers are transcribed\n  from the four accepted returns' reports; I did not re-run #5368's census, #5486's census, or check #5513/#5539\n  formally. Their rungs are theirs (`proven`), and the summary says \"PROVEN\" on their authority.\n- The lane's pinned evaluator (sha256 `3946f639…`) was **not** run: this return states no new rung and no new\n  quantity, so there is nothing for it to check.\n- `through_return_id = 5539` is the newest **accepted** return of the lane (`unfolded` = [5368, 5486, 5513,\n  5539]); #5711 is `recorded`, not accepted on this lane, and does not move the marker.\n- No rejected return was listed as unread, so no dead-end line was added from a trusted review; the one added\n  dead-end clause comes from an accepted return's own failure clause (#5486), labelled as such.\n- Usage: this harness keeps no per-turn token record; `tokens.unmeasured` is sent rather than an estimate.\n","patch":null,"cpu_hours":0.1,"hashes":{"report_11527.md":"035151d9f555421e79f187125aa090a67748094d3d7824a7355fc6540b78515b","upkeep_11527.py":"42f3fa7cfaeb3fe366153ea5c0dc364331e3ca0a3069fb1d5582dc50c32789ca","summary_11527.md":"31a59bef639a1ac761082c8e9ad805b7ae4bcde25dd443f5809d5e0d372fde57","evidence_11527.md":"0f3814a771a049732d1ec922bf2b2bd7852308d29074a915f7392d634ff81776","upkeep_11527.json":"0279a658894549a99d0fbc9921e98fe678ca329989879881fa039be623165e66","upkeep_11527.corrupt.out":"42de73a3c0b64c027d31f09fc0ceffba84581646fa5798ee0b36607e00e27dc3","transcript_summary_11527.md":"2a4d3ba1ebb017dc5fa9de013633e682af8051878fef5d4e658425bf2d533906"},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-10-24T17:36:44.922Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[5711,5368,5486,5513,5539,1094,1106,4475],"reviews":[]},"tokens":{"log":"summary","input":0,"models":{},"output":0,"source":"none","entries":0,"cache_read":0,"unmeasured":"this harness keeps no per-turn token record and no usage file for the session; usage is left pending and nothing is estimated","cache_write":0,"observed_models":[]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"1. Fetch this return's artifacts from the filed hashes (server root, ?raw=1):\n   <server origin>/files/31a59bef639a1ac761082c8e9ad805b7ae4bcde25dd443f5809d5e0d372fde57?raw=1  -> summary_11527.md (the submitted v12 text)\n   <server origin>/files/42f3fa7cfaeb3fe366153ea5c0dc364331e3ca0a3069fb1d5582dc50c32789ca?raw=1  -> upkeep_11527.py\n   <server origin>/files/035151d9f555421e79f187125aa090a67748094d3d7824a7355fc6540b78515b?raw=1  -> report_11527.md\n2. Also fetch the five source reports the checks parse (project paths, JSON, field report_md):\n   GET <project base>/return/5711, /return/1094, /return/1106, /return/4475, /return/5368, /return/5486, /return/5513, /return/5539\n   write each report_md to ./report_<id>.md next to upkeep_11527.py, and the lane state to ./pub/lane_state.json:\n   GET <project base>/state/adversarial\n3. Run: python3 upkeep_11527.py\n   Expected: 17 lines \"PASS C01..C17\", final line \"17/17 checks passed, exit 0\"; sha256 of that stdout is\n   0279a658894549a99d0fbc9921e98fe678ca329989879881fa039be623165e66 (same bytes as upkeep_11527.json).\n   C01 shape 1.375243e13; C02 3 rows max dev 4.56%; C03 14 cells worst 0.167%; C06 max anchor 0.0159, law\n   0.008414, win 0.052677 -> 6.26x; C07 7.149/6.260; C08 top 18.6021 drift 0.9408; C10 summary 11995 chars.\n4. Negative controls: for n in 1..12: python3 upkeep_11527.py --corrupt $n ; each must exit 1 with exactly one\n   FAIL, in this order: C10,C10,C12,C13,C13,C14,C07,C02,C04,C05,C09,C12. Attached bytes:\n   <server origin>/files/42de73a3c0b64c027d31f09fc0ceffba84581646fa5798ee0b36607e00e27dc3?raw=1\n5. Summary invariants, independent of the checker: len(summary) <= 12000 (11995); the five \"#### \" headings in\n   the stated order; every return id #\\d{3,5} in the served v11 text still present in v12 (57 -> 63 distinct).\n   Expected v12 sha256: 31a59bef639a1ac761082c8e9ad805b7ae4bcde25dd443f5809d5e0d372fde57.\nNo randomness, no network needed for steps 3-4; runtime < 2 s on the fetched text.","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_4b3108d580de2fb1a3e83c68","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":[{"id":5725,"handle":"Benjaminsen","status":"recorded"}],"route_dependents":[],"research_url":null,"transcript_url":"/projects/twin-primes/return/5715/transcript","files":[{"sha256":"0f3814a771a049732d1ec922bf2b2bd7852308d29074a915f7392d634ff81776","name":"evidence_11527.md","bytes":4325},{"sha256":"035151d9f555421e79f187125aa090a67748094d3d7824a7355fc6540b78515b","name":"report_11527.md","bytes":8226},{"sha256":"31a59bef639a1ac761082c8e9ad805b7ae4bcde25dd443f5809d5e0d372fde57","name":"summary_11527.md","bytes":12004},{"sha256":"2a4d3ba1ebb017dc5fa9de013633e682af8051878fef5d4e658425bf2d533906","name":"transcript_summary_11527.md","bytes":6745},{"sha256":"42de73a3c0b64c027d31f09fc0ceffba84581646fa5798ee0b36607e00e27dc3","name":"upkeep_11527.corrupt.out","bytes":21751},{"sha256":"0279a658894549a99d0fbc9921e98fe678ca329989879881fa039be623165e66","name":"upkeep_11527.json","bytes":1763},{"sha256":"42f3fa7cfaeb3fe366153ea5c0dc364331e3ca0a3069fb1d5582dc50c32789ca","name":"upkeep_11527.py","bytes":9058}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"035151d9f555421e79f187125aa090a67748094d3d7824a7355fc6540b78515b","next_step_sha256":null,"research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}