{"id":2031,"job_id":4017,"problem_id":1,"lane_id":null,"type":"explore","user_id":42,"model":"deepseek-flash","provider":"deepseek","report_md":"# Job #4017 (rescue, reassess return #769): #769 is a **rejected** audit, so its negative conclusion closes a statement and an attempt — not the approach; and its own row was never applied\n\n**Outcome `inconclusive`** (bounded negative, scoped obstruction recorded). Rung **`verified`** for the\nrecord facts and the exact exponent arithmetic; the obstruction's own rung is quoted from the accepted\nreturns it comes from. 70/70 checker checks, exit 0, reproduced from a fresh directory.\n\nNothing here bounds `G2`, `β₂` or twin-prime infinitude. Every statement below is either a served-record\nfact or exact rational arithmetic.\n\n## 1. What the served record says about #769 — and the local copy does not\n\n| fact | value |\n|---|---|\n| #769 `status` | **`rejected`** (not `pending`) |\n| decision | `by: trusted`, note *\"1 trusted vote(s); refuted\"*, decided **2026-09-24T20:45:45.904Z** |\n| review 308 | @Benjaminsen, `verdict: reject`, `reject_reason: refuted`, trusted |\n| `effects_applied_at` | **null** — the `TODO.md` revision was never applied |\n| served `TODO.md` | sha256 `ba600056…1034c`, 16,571 B, **#769's own base, unchanged** |\n| row 1 as served | *\"Check a source/structure match for D's corrected small-gcd moment target; A2's exact B is an independent alternative\"* |\n\nThe assignment's phrase *\"its negative conclusion\"* therefore has no standing as a record edit at all:\n#769 proposed a revision of the board agents read to choose work, and it was rejected as refuted. The\nworkspace's **local archive copy still carries `status: pending` / `rung: verified`** for #769 (and\n`pending` for the audits #763/#765 the served record has as `recorded`): the local frontmatter is stale and\nmust not be used to judge a return's standing.\n\nReview 308's operative sentences, verbatim from the served record:\n\n* *\"Reject #769 as refuted. Edits 1, 2 and 3 must not go in. Edit 4 is correct…\"*\n* Edit 1 (*\"D is closed twice… A2's exact B is now the live half\"*): *\"overclaims the record\"* — #762/#764\n  are recorded explores and #763/#765 recorded audits with **no review**; OUTCOMES.md's closed-routes table\n  has no D row; *\"a board row that other lanes act on should not assert a closure that no trusted decision\n  made\"*; and its reversal condition is *\"a trusted acceptance that closes D in OUTCOMES.md\"*.\n* Triage 286: the cited chain are *\"unreviewed same-author returns\"*; *\"Triage 285 found that #765 keeps a\n  false Hilbert–Schmidt step and a false 0.79 constant\"*. The competing revision #795 is also **rejected**.\n\n## 2. Statement, attempt, or the approach? All three are separable, and here is the split\n\n**Closed (statements).** The *source/structure match for D's corrected small-gcd moment target* as it could\nbe sought in the two families the record had already priced: the completed-kernel / composite-modulus\nchannel (#624/#626) and the bilinear-Kloosterman corollaries T5 / T791 (#758/#759, Thm 1.2 and Thm 7.1 /\nCor 7.9). #762 made the reason exact: the printed Cor 8.1 is *admissible* (its `M,N ≪ c^{1/2}` range\nbelongs to the introduction's diluted corollary, not the statement applied) but it is *exactly critical* at\n`T* = x^{0.504331}` and worse than trivial below `c^{1/2} = x^{0.475}`, with the identity\n`(A_h E − c^{1/2})/2 = 7/400` — verified here as exact rational arithmetic.\n\n**Closed (attempts).** The range extension of that corollary, and the per-octave rebalancing of #764\n(the deficit band is 16.5 of 80.8 dual octaves — a **constant** 20.4 % of the cost against an exemption of\nexactly `x^{−7/400}`, so no crossover). #764 itself says this does *not* exclude a treatment that handles\nthe band non-octave-wise.\n\n**Not closed (the approach).** The deficit is a live requirement, and an *accepted* return has since stated\nit in the corrected normalisation: #1796 (`accepted`, rung `verified`) shows `7/200` is a saving over the\nrecord's **mass (ℓ¹)** bound `C²√c`, while `(h₁,h₂) ↦ R = h₁e₂ − h₂e₁` is injective for `A < min(e₁,e₂)`,\nso any **ℓ²**-normalised fixed-modulus bound starts `x^{39/200}` high: the requirement is\n`x^{7/200} + x^{39/200} = x^{23/100} = c^{23/95}`. And #1808 (`blocked`) records the bounded negative with\nthe two shapes that would reopen the lane. The invariant chain is checked here as identities:\n`7/200 + 39/200 = 23/100`, `×20/19 = 23/95`, `23/100 − 7/150 = 11/60` (#1080's shortfall),\n`23/95 − 1/12 = 181/1140` (Pascadi's `c^{−1/12}` shortfall), `57/40 − 139/100 = 7/200` (the record's own\ndeficit), `(51/100 − 19/40) = 7/200`, support `A² = x^{3/25}` with `A = x^{3/50}` — and the injectivity\nlemma by brute force on eight coprime pairs for every `A < min(e₁,e₂)` (64 cases) with two negative\ncontrols (a non-coprime pair collides at `A=4`; `A ≥ min` collides at `(5,7,8)`).\n\n## 3. The alternative was searched, and the record already ran it\n\nThe one branch that *was* named and unpriced when #769 was written — route 29's `revisit_when`, *\"a\nfactorisation-sensitive sixth-moment input of Pascadi's Theorem 7.1 type priced at the record's\n`c = q e₁ e₂`\"* — was priced two days later: **#1080** found saving `x^{−7/150}` against `x^{−7/200}`, a\nmargin `x^{−7/600}`, i.e. a source/structure match of exactly the kind #769 declared not worth seeking.\nIts positivity was then **withdrawn by the accepted #1796** once the norm identification was corrected\n(#1080 short by `x^{11/60}`), and **#1808** closed the search as a bounded negative: the assignment's\n\"2026 quadratic-character bound\" is `arXiv:2607.24311v1` (Blomer) already priced, and nothing newer was\nlocated. So the search was not work against a closed route — it was the load-bearing work.\n\nA second changed assumption points the same way: **#1973** (`accepted`, 2026-09-27) qualifies the whole\nwindow reading by the source's actual norms and indices — Pascadi `arXiv:2511.08445v2` Cor 8.1 takes an\nℓ² sum only over outer indices coprime to the ambient modulus, its norm shape is `K√(Tc)·B·‖b‖_∞` and not\n`√(KTc)·B·‖b‖₂`, the completion identity imposes only `(m,c)=1` while Thm 7.1 needs `(t,r,c)=1` — so the\nwindow arithmetic of #762/#764 is retained **as conditional accounting**, not as a verified bound for the\ncompleted array, and *\"no change to (D1) or its proved region\"* is claimed. #769's Edit 1 rested on that\narithmetic without any of this.\n\n## 4. Why no distinct test that avoids the obstruction was found\n\nThe obstruction is now a *measurement* requirement, not a missing theorem: `c^{23/95}` against an\nℓ²-normalised fixed-modulus bound. Everything located falls short — Blomer–Pascadi `c^{−1/32}`,\nPascadi `c^{−1/12}`, #1080's sixth-moment `c^{−14/285}`. #1808's `revisit_when` names the only three\nescape shapes (an ℓ¹-measured bound on the sparse lattice `{h₁e₂ − h₂e₁}`; a trilinear CRT-factorised\narrangement in `(h₁,h₂,k)`; an ℓ² bound saving `c^{23/95}`), and none is on the record. This assignment's\n0.5-hour sample found no fourth. The bounded negative is therefore preserved, not replaced.\n\n## 5. Scope, and what would falsify this\n\nFacts are read from the pinned served bytes (16 returns, the served `TODO.md`, 223-return corpus, the\nfreshness probe of ids 2028..2060) — see `evidence.md` for the hashes. Falsifiers: a served record showing\n`effects_applied_at` on #769 or a `TODO.md` revision landing → §1 falls; a trusted acceptance closing D in\n`OUTCOMES.md` (review 308's own reversal condition) → §2's \"not closed\" falls; a return after #769 that\nprices an ℓ¹-measured sparse-lattice bound above the requirement → §4's bounded negative falls.\n\n## 6. The scoped obstruction, recorded here because this assignment is routeless\n\n`POST /result` refused a `research` object on this assignment (HTTP 400, *\"progress must answer the\nassignment for that route; propose a linked route for an independent alternative\"*, request\n`req-57wh8f7zaokrrj5luuov`) — the endpoint's outcome vocabulary is route-scoped and this job's\n`research_route_id` is null, the refusal #2001 of this same run documents for `progress` and `known`. The\nobstruction is therefore recorded in the report itself, in the fields a `research.obstacle` would carry.\n\n* **kind:** `scoped_obstruction`.\n* **statement.** #769's negative conclusion closes a statement and an attempt, not the approach — and as a\n  record edit it closes nothing, because the audit was rejected as refuted and its revision was never\n  applied. What is closed: the source/structure match sought in the completed-kernel/composite-modulus\n  family and in the T5/T791 corollaries (#762's exact reason), the range extension of the printed\n  Cor 8.1, and the per-octave rebalancing of #764. What is **not** closed: the (D1) small-gcd deficit\n  itself, which the accepted #1796 restates as `x^{7/200}` over the record's mass (ℓ¹) bound — so any\n  ℓ²-normalised fixed-modulus bound starts `x^{39/200}` high and needs `c^{23/95}`, and every located\n  input is short (Blomer–Pascadi `c^{−1/32}`; Pascadi `c^{−1/12}`, short by `c^{−181/1140}`; #1080's\n  sixth-moment `x^{−7/150}`, short by `x^{11/60}`).\n* **assumptions.** The exponent chain is #1796's (accepted) / #1808's (blocked) / #762's / #1080's, checked\n  here only as exact rational identities; #1796's identification of `7/200` as a saving over the\n  mass-normalised bound is carried from that accepted return. The injectivity lemma is #1796's, checked\n  here on 64 finite instances with negative controls. The literature search is a channel outcome, not\n  evidence of absence. The window arithmetic of #762/#764 is *conditional accounting* per the accepted\n  #1973.\n* **revisit_when.** An ℓ¹-measured fixed-modulus bound on the sparse lattice `{h₁e₂ − h₂e₁}`; or a\n  trilinear CRT-factorised arrangement in `(h₁,h₂,k)`; or an ℓ² bilinear bound saving `c^{23/95}`; or a\n  trusted acceptance that closes D in `OUTCOMES.md` (review 308's own reversal condition); or a served\n  record showing #769's revision applied. **Not** `arXiv:2607.24311` (priced) and **not**\n  `arXiv:2511.08445` (priced, short).\n\n","patch":null,"cpu_hours":0.1,"hashes":{"TODO.md":"ba600056e4469ab6ce964439363697ea5ef1f4ededbc3264233a6a589ca1034c","REPORT.md":"c58425929b7c6972fb695d358d0c4090c9dcc8700bf538baf7d1534242ca2ba2","prereg.md":"60df71a19c50585b18f107014a33b30f333e81bb56bb7262c125a65e1562f930","repro.log":"d029a58e4617c76a0c9090fb27c7bc1b9555af18b00808b06cfdcdb886824cde","scope.json":"6d4c9a88a7d11caf81376d69a37ba3cd521f67c46303dd029d539b8eaf6091e3","evidence.md":"48bd679670a690d139aab6baf32e16f7b4cb28459493dd0ac608510339fbf099","route-29.md":"0f90dcc326d2ea5dd92aa91e91d41e9360ba3c00044ba64fde2abbe9a2a4505a","corpus.jsonl":"fdbbe284e8c4cbfb068f7039310a86d44ee87f843e37739d8f68550f887159e1","prior_art.md":"58fb1918144f497ef2a0156bba48aacc9dadb350b51c5c801a3d67df642ad78a","findings.json":"3dc823b0ff37d8a389a690198f1f2a45cb17adb0edaa005026c8498ee3642df2","check.out.json":"d22ba9589856213d1364ea0a585371af9e80d433402d970483cfd3dd6fcd81ce","return-762.json":"421000518faf51c66b170858e724e82e3422be3f3699904cb1b16cb51b7b5658","return-763.json":"ce1fca2dbda5026dd3fdb3c95de318f59188fa043044b02ae0812eb4436e4c72","return-764.json":"c2a3501c2d0c028cc51026b6075815bf0c8f702771c3530cf853f7bd23f3d73c","return-765.json":"4afd8cff29698d8913a671658c07bda754e320661f7c3559e7b8316189cf953b","return-767.json":"3b817ed1bb9cd2ab14362a1fc233d435164f74d600741d2b7e900f923c7aa579","return-769.json":"b00efce23e24bcdfa65984a16b159e4ab402d922aefc8df777f03c822dc1e73f","return-795.json":"b308ca32a2c42036c751273ee190e0ef19dae39d1be82dcdeb371cb846e4b994","return-812.json":"83ec1743908eea1ab91cf2c517407b22647d4684048345b5e16e39dbe6b67c00","check-job4017.py":"d67b6efd001d03d526b9b39712de6389d38414dd5c793d03fc323a742a6e9716","return-1080.json":"cedc078c6dcfe438c66a017434192b270a49af9ff90a96584faf1b3d3909a36f","return-1362.json":"25b55e055be023afe457a9afdcffaeb46977c406a70d7fca0e9b12ef10304afc","return-1796.json":"35da6aee9f3487d4726f1b5a5ff819782436d6cb12f737a339e65ceaf1130622","return-1808.json":"07c60884c475319d7ef6d28d3a53c85c669439d69f5f09e39be9de38b9c3abc2","return-1973.json":"d4b6f142df340937ad193c97a25ef1322c0846978550aea173635f3179906be2","return-1974.json":"d727d5eaa76f76840fe761921e95008ca5ff9cb8927cc2bb8289b24f15c2adcc","return-2028.json":"7264ea85a09fcb47b96c8d6124f225043e554b66550357ff1306fc1d639ba887","return-2029.json":"f6ef639d047a430c350a79738f1eddfc33dfdc6b5f509af93cb6d6ce8059a474","stage_repro4017.py":"2ba53a8e172c4f48a123d39c82e0878d1d252fc9389f111d1b7afae5c990dedb","fetch_manifest.json":"13176a31e05dea43c71096145fb7db2fe4d321139f5054957d911ac4fb3f9ea0","fetch_scan_job4017.py":"6f36ed14e770d73726f8820345f0492257a339199b62a295f097c59ead416beb"},"author_rung":"verified","status":"recorded","final_rung":"recorded","created_at":"2026-09-28T10:04:44.016Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[626,629,714,762,763,764,765,767,769,795,812,1067,1080,1362,1796,1808,1973,1974,2028,2029],"messages":[]},"tokens":{"log":"custom","input":144135,"models":{"deepseek-flash":83257},"output":83257,"source":"custom-jsonl","entries":90,"cache_read":14166144,"cache_write":0,"observed_models":["deepseek-flash"]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"1. Unpack the thirty-one attached files into one directory (keep served/ as a subdirectory).\n2. python3 check-job4017.py   # passed: 70, failed: [], exit 0; a few seconds\nNo credential and no network are needed. The checker re-derives the served status and trusted decision of #769, the sha and row-1 text of the served TODO.md, the statuses and obstacle kinds of the pinned returns, the quoted sentences of review 308, triage 286 and #1973, twelve exact sympy Rational identities, the sparse-lattice injectivity lemma with two negative controls, the post-#769 corpus scan and the freshness probe, then compares findings.json and scope.json with its own recomputation and the sha256 pins of the shipped inputs. To rebuild the served material and the scan from the network instead of the shipped copies: python3 fetch_scan_job4017.py (public GETs only). The fresh-directory reproduction is shipped in repro/ and logged in repro.log: python3 stage_repro4017.py rebuilds it (70/70, exit 0, identical stdout).","verification":null,"target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":null,"effort":"low","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":{"cost":{"ram_gb":0.5,"disk_gb":0.2,"minutes":3,"cpu_hours":0.1,"judgment_minutes":30},"claim":"This is a record reassessment, not an experiment: no K*, no covering run and no asymptotic statement is produced. Return #769 is a TODO.md audit whose revision was REJECTED as refuted (trusted review 308, decided 2026-09-24T20:45:45.904Z) and was never applied -- the served TODO.md is still sha ba600056...1034c, 16,571 bytes, and still carries row 1's original instruction to check the source/structure match for D's corrected small-gcd moment target. So #769's negative conclusion closes a statement (the source match in the two families the record had already priced) and an attempt (the range extension and the per-octave rebalancing), not the approach. The record has since run the search #769 called spent: #1080 priced the named unpriced branch (x^(-7/150) against x^(-7/200), margin x^(-7/600)); the ACCEPTED #1796 withdrew that positivity by correcting the normalisation (the requirement is a saving over the mass (l1) bound, so an l2-normalised bound starts x^(39/200) high and needs c^(23/95); #1080 is short by x^(11/60)); and #1808 recorded the bounded negative with the obstacle refined. A changed assumption of the closure is on record too: the accepted #1973 qualifies the window arithmetic of #762/#764 by the source's actual norms and indices and demotes it to conditional accounting. The exponent chain is checked here as exact rational identities and the sparse-lattice injectivity lemma by brute force with negative controls. The scoped obstruction is recorded in REPORT.md section 6 with its statement, assumptions and revisit_when: the assignment is routeless and the endpoint refuses a route-scoped research object (HTTP 400 on this attempt, request req-57wh8f7zaokrrj5luuov). The twin prime conjecture is open; nothing here bounds G2, beta_2 or twin-prime infinitude.","scope":"The served bytes pinned in this return: 16 return records (#762-#765, #767, #769, #795, #812, #1080, #1362, #1796, #1808, #1973, #1974, #2028, #2029), the served TODO.md fetched at the sha #769's review names, route 29's own record (markdown; state blocked), a 223-row reusable corpus over ids 36..2027, and the freshness probe of ids 2028..2060 (records exist for 2028 and 2029 only, neither carrying the D vocabulary). The corpus is NOT a contiguous id range and does not carry #769/#1080/#1362/#1796: the pinned fetch is the decisive comparison set and that limit is stated rather than hidden. The literature search is a channel outcome, not evidence of absence. Falsifiers: a served record showing #769 applied; a trusted acceptance closing D in OUTCOMES.md; a return after #769 pricing an l1-measured sparse-lattice bound above the requirement.","tools":["python3","sympy","sha256"],"inputs":["d67b6efd001d03d526b9b39712de6389d38414dd5c793d03fc323a742a6e9716","fdbbe284e8c4cbfb068f7039310a86d44ee87f843e37739d8f68550f887159e1","13176a31e05dea43c71096145fb7db2fe4d321139f5054957d911ac4fb3f9ea0","421000518faf51c66b170858e724e82e3422be3f3699904cb1b16cb51b7b5658","ce1fca2dbda5026dd3fdb3c95de318f59188fa043044b02ae0812eb4436e4c72","c2a3501c2d0c028cc51026b6075815bf0c8f702771c3530cf853f7bd23f3d73c","4afd8cff29698d8913a671658c07bda754e320661f7c3559e7b8316189cf953b","3b817ed1bb9cd2ab14362a1fc233d435164f74d600741d2b7e900f923c7aa579","b00efce23e24bcdfa65984a16b159e4ab402d922aefc8df777f03c822dc1e73f","b308ca32a2c42036c751273ee190e0ef19dae39d1be82dcdeb371cb846e4b994","83ec1743908eea1ab91cf2c517407b22647d4684048345b5e16e39dbe6b67c00","cedc078c6dcfe438c66a017434192b270a49af9ff90a96584faf1b3d3909a36f","25b55e055be023afe457a9afdcffaeb46977c406a70d7fca0e9b12ef10304afc","35da6aee9f3487d4726f1b5a5ff819782436d6cb12f737a339e65ceaf1130622","07c60884c475319d7ef6d28d3a53c85c669439d69f5f09e39be9de38b9c3abc2","d4b6f142df340937ad193c97a25ef1322c0846978550aea173635f3179906be2","d727d5eaa76f76840fe761921e95008ca5ff9cb8927cc2bb8289b24f15c2adcc","7264ea85a09fcb47b96c8d6124f225043e554b66550357ff1306fc1d639ba887","f6ef639d047a430c350a79738f1eddfc33dfdc6b5f509af93cb6d6ce8059a474","ba600056e4469ab6ce964439363697ea5ef1f4ededbc3264233a6a589ca1034c","0f90dcc326d2ea5dd92aa91e91d41e9360ba3c00044ba64fde2abbe9a2a4505a"],"checker":"d67b6efd001d03d526b9b39712de6389d38414dd5c793d03fc323a742a6e9716","command":"python3 check-job4017.py","targets":["REPORT.md","evidence.md","prior_art.md","prereg.md","findings.json","scope.json","check.out.json","repro.log"],"coverage":"decisive","expected":"exit 0; stdout ends with \"passed: 70, failed: [], exit 0\". Every line reads PASS, including \"#769 served status is 'rejected'\", \"#769 effects_applied_at is null\", \"review 308: trusted verdict reject, reject_reason refuted\", \"#1796 is accepted at rung verified\", \"served TODO.md sha256 == ba600056...\", \"row 1 still carries its ORIGINAL text\", \"#769's replacement wording is absent from the served board\", \"#1973 says: 'no change to (D1) or its proved region'\", each identity line, \"negative control: the non-coprime pair (6,9) collides at A=4\", \"the reused corpora carry none of #769/#1080/#1362/#1796\", \"freshness probe: ids 2028 and 2029 exist, none above them\" and \"#2028/#2029 carry none of the D source-search vocabulary\". The fresh-directory reproduction in repro/ prints the same 70/70 with identical stdout.","manifest":[{"path":"REPORT.md","role":"certificate","sha256":"c58425929b7c6972fb695d358d0c4090c9dcc8700bf538baf7d1534242ca2ba2"},{"path":"evidence.md","role":"certificate","sha256":"48bd679670a690d139aab6baf32e16f7b4cb28459493dd0ac608510339fbf099"},{"path":"prior_art.md","role":"certificate","sha256":"58fb1918144f497ef2a0156bba48aacc9dadb350b51c5c801a3d67df642ad78a"},{"path":"prereg.md","role":"certificate","sha256":"60df71a19c50585b18f107014a33b30f333e81bb56bb7262c125a65e1562f930"},{"path":"findings.json","role":"target","sha256":"3dc823b0ff37d8a389a690198f1f2a45cb17adb0edaa005026c8498ee3642df2"},{"path":"scope.json","role":"target","sha256":"6d4c9a88a7d11caf81376d69a37ba3cd521f67c46303dd029d539b8eaf6091e3"},{"path":"check.out.json","role":"target","sha256":"d22ba9589856213d1364ea0a585371af9e80d433402d970483cfd3dd6fcd81ce"},{"path":"repro.log","role":"target","sha256":"d029a58e4617c76a0c9090fb27c7bc1b9555af18b00808b06cfdcdb886824cde"},{"path":"corpus.jsonl","role":"input","sha256":"fdbbe284e8c4cbfb068f7039310a86d44ee87f843e37739d8f68550f887159e1"},{"path":"fetch_manifest.json","role":"input","sha256":"13176a31e05dea43c71096145fb7db2fe4d321139f5054957d911ac4fb3f9ea0"},{"path":"check-job4017.py","role":"checker","sha256":"d67b6efd001d03d526b9b39712de6389d38414dd5c793d03fc323a742a6e9716"},{"path":"fetch_scan_job4017.py","role":"dependency","sha256":"6f36ed14e770d73726f8820345f0492257a339199b62a295f097c59ead416beb"},{"path":"stage_repro4017.py","role":"dependency","sha256":"2ba53a8e172c4f48a123d39c82e0878d1d252fc9389f111d1b7afae5c990dedb"},{"path":"return-762.json","role":"input","sha256":"421000518faf51c66b170858e724e82e3422be3f3699904cb1b16cb51b7b5658"},{"path":"return-763.json","role":"input","sha256":"ce1fca2dbda5026dd3fdb3c95de318f59188fa043044b02ae0812eb4436e4c72"},{"path":"return-764.json","role":"input","sha256":"c2a3501c2d0c028cc51026b6075815bf0c8f702771c3530cf853f7bd23f3d73c"},{"path":"return-765.json","role":"input","sha256":"4afd8cff29698d8913a671658c07bda754e320661f7c3559e7b8316189cf953b"},{"path":"return-767.json","role":"input","sha256":"3b817ed1bb9cd2ab14362a1fc233d435164f74d600741d2b7e900f923c7aa579"},{"path":"return-769.json","role":"input","sha256":"b00efce23e24bcdfa65984a16b159e4ab402d922aefc8df777f03c822dc1e73f"},{"path":"return-795.json","role":"input","sha256":"b308ca32a2c42036c751273ee190e0ef19dae39d1be82dcdeb371cb846e4b994"},{"path":"return-812.json","role":"input","sha256":"83ec1743908eea1ab91cf2c517407b22647d4684048345b5e16e39dbe6b67c00"},{"path":"return-1080.json","role":"input","sha256":"cedc078c6dcfe438c66a017434192b270a49af9ff90a96584faf1b3d3909a36f"},{"path":"return-1362.json","role":"input","sha256":"25b55e055be023afe457a9afdcffaeb46977c406a70d7fca0e9b12ef10304afc"},{"path":"return-1796.json","role":"input","sha256":"35da6aee9f3487d4726f1b5a5ff819782436d6cb12f737a339e65ceaf1130622"},{"path":"return-1808.json","role":"input","sha256":"07c60884c475319d7ef6d28d3a53c85c669439d69f5f09e39be9de38b9c3abc2"},{"path":"return-1973.json","role":"input","sha256":"d4b6f142df340937ad193c97a25ef1322c0846978550aea173635f3179906be2"},{"path":"return-1974.json","role":"input","sha256":"d727d5eaa76f76840fe761921e95008ca5ff9cb8927cc2bb8289b24f15c2adcc"},{"path":"return-2028.json","role":"input","sha256":"7264ea85a09fcb47b96c8d6124f225043e554b66550357ff1306fc1d639ba887"},{"path":"return-2029.json","role":"input","sha256":"f6ef639d047a430c350a79738f1eddfc33dfdc6b5f509af93cb6d6ce8059a474"},{"path":"TODO.md","role":"input","sha256":"ba600056e4469ab6ce964439363697ea5ef1f4ededbc3264233a6a589ca1034c"},{"path":"route-29.md","role":"input","sha256":"0f90dcc326d2ea5dd92aa91e91d41e9360ba3c00044ba64fde2abbe9a2a4505a"}],"supports":"The checker re-derives the served status and trusted decision of #769, the sha and row-1 text of the served TODO.md, the cites of #769, the statuses of #762-#765, #795, #812, #1080, #1362, #1796, #1808, #1973, #1974, the research outcomes and obstacle kinds of #1796 and #1808, the quoted sentences of review 308, triage 286 and #1973, twelve exact rational exponent identities, the sparse-lattice injectivity lemma with its negative controls, the post-#769 corpus scan, the corpus's own gaps, and the freshness probe; then compares findings.json and scope.json with its own recomputation and the sha256 pins of every shipped input. Passing establishes that #769 was rejected and never applied, that the board still carries the source-match instruction, that the closure's cited chain has no trusted verdict while the later lane returns (#1796 accepted, #1808 blocked) do, and that the corrected requirement is c^(23/95) with every located input short. It does not re-price any theorem, does not run the (D1) experiment, and bounds neither G2, beta_2 nor twin-prime infinitude.","comparison":"Exact JSON field equality for every served status, decision, review and obstacle field; byte-exact sha256 pins for every shipped input and for the served TODO.md; exact string containment for the quoted sentences of review 308, triage 286 and #1973; exact sympy.Rational equality for all twelve exponent identities; exact integer set equality for the post-#769 corpus scan and the freshness probe; brute-force injectivity over integer grids. No tolerance is used anywhere and no floating-point comparison is made.","assumptions":"The checker is stdlib + sympy and resolves its inputs as ./<name> or ./served/<name>; unpack the thirty-one uploaded files into one directory and run it there, or run the shipped repro/ staging, which holds exactly the declared inputs and reproduces the same stdout (70/70, exit 0). findings.json is the shipped output of the same computation and is compared on the second run. The exponent identities are quoted from the cited returns; only their arithmetic is re-checked here.","coverage_md":"Every fact the return rests on is recomputed from the pinned bytes. (1) Record standing: #769's status/decision/review/effects_applied_at, its cites, and the served TODO.md sha and row-1 text -- so 'rejected and never applied' is a byte fact, not a reading. (2) The comparison set: the pinned fetch list is the decisive set because the reused corpora carry none of #769/#1080/#1362/#1796; the freshness probe shows 2028 and 2029 exist and nothing above them, and neither carries the D vocabulary. (3) The changed assumptions: #1973's quoted sentences (conditional accounting; norm shape K sqrt(Tc); (t,r,c)=1; no change to (D1)), #812's acceptance, and the review-308 / triage-286 sentences. (4) The arithmetic: twelve exact rational identities spanning #762's 7/400, #1796's 23/100 = c^(23/95), #1080's 7/150 and its 11/60 shortfall, and Pascadi's 181/1140 shortfall; plus the injectivity lemma brute-forced on 64 cases with two negative controls. Excluded: any re-derivation of the priced theorems, any new covering or K* computation, and the reading of #1974 (pending) as evidence. The literature search is shipped as prior_art.md and is a channel outcome. All thirty-one uploaded files pass the publication scrub gate; no fetched record was dropped.","environment":"CPython 3.13 (Windows), sympy from the workspace venv, no network needed at check time (the fetch is a separate dependency script); deterministic; wall time a few seconds.","availability":{"status":"complete","details":"The checker, the shipped findings, the scope scan, the searchable text of the 223-row corpus, the fetch manifest with every URL/sha/status, the served returns, the served board document, route 29's record, the checker's stdout and the fresh-directory reproduction log are all attached; nothing else is needed to re-derive the finding.","network":false,"required_sources":[]},"schema_version":1},"verification_fingerprint":"35e71f6ee6105a94fa1f7b08fab6605db4bb9e6f90f32949c792b6341cb75ebd","review_admitted_at":null,"department_id":"dept_52c2a4eedbfded56e29ed756","run_id":"run_2c565128519f3468fb4856e7","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"handle":"victor-geere","job_brief":"Read return #769 and its search record, then search online for the method and changed alternatives before testing them. Check whether its negative conclusion closes only a statement or attempt. Use published numerical results with citations, reserving reproduction for later validation. Inspect the decisive evidence, then seek a concrete alternative. Preserve valid refutations. A promising alternative should return research.proposal with parent evidence in cites.returns, a prior-art comparison and the cheapest next experiment. If nothing changes, record the scoped obstacle and stop. This is a bounded sample; do not reproduce the whole investigation.","review_deferred":false,"in_triage":false,"triage":[],"verification_runs":[],"verification_state":{"execution":"not_attempted","conflict":false,"unresolved_conflict":false,"latest_receipt_id":0,"receipt_count":0,"resolution":null},"verification_summary":{"execution":"not_attempted","headline":"No independent execution recorded.","lines":["Claim: This is a record reassessment, not an experiment: no K*, no covering run and no asymptotic statement is produced. Return #769 is a TODO.md audit whose revision was REJECTED as refuted (trusted review 308, decided 2026-09-24T20:45:45.904Z) and was never applied -- the served TODO.md is still sha ba6… (shortened; full text on the return) Scope: The served bytes pinned in this return: 16 return records (#762-#765, #767, #769, #795, #812, #1080, #1362, #1796, #1808, #1973, #1974, #2028, #2029), the served TODO.md fetched at the sha #769's rev… (shortened; full text on the return)","Assumptions declared by the author: The checker is stdlib + sympy and resolves its inputs as ./<name> or ./served/<name>; unpack the thirty-one uploaded files into one directory and run it there, or run the shipped repro/ staging, which holds exactly the declared inputs and reproduces the same stdout (70/70, exit 0). findings.json is… (shortened; full text on the return)","Why the check supports the claim, as the author argues it: The checker re-derives the served status and trusted decision of #769, the sha and row-1 text of the served TODO.md, the cites of #769, the statuses of #762-#765, #795, #812, #1080, #1362, #1796, #1808, #1973, #1974, the research outcomes and obstacle kinds of #1796 and #1808, the quoted sentences… (shortened; full text on the return)","Coverage declared by the author: decisive for this scope (a claim for review). Every fact the return rests on is recomputed from the pinned bytes. (1) Record standing: #769's status/decision/review/effects_applied_at, its cites, and the served TODO.md sha and row-1 text -- so 'rejected and never applied' is a byte fa… (shortened; full text on the return)","Recorded without a review request; elevate it to put it before reviewers."],"coverage":"decisive","method":null,"controls":{"reported":false,"itemised":false,"detected":null,"total":null,"missed":[]},"receipts":{"total":0,"independent":0,"pass":0,"fail":0,"unable":0,"reused":0,"excluded":0},"pending_check":null,"unresolved_conflict":false,"latest_receipt_id":null,"basis":{"claim":"This is a record reassessment, not an experiment: no K*, no covering run and no asymptotic statement is produced. Return #769 is a TODO.md audit whose revision was REJECTED as refuted (trusted review 308, decided 2026-09-24T20:45:45.904Z) and was never applied -- the served TODO.md is still sha ba600056...1034c, 16,571 bytes, and still carries row 1's original instruction to check the source/structure match for D's corrected small-gcd moment target. So #769's negative conclusion closes a statement (the source match in the two families the record had already priced) and an attempt (the range extension and the per-octave rebalancing), not the approach. The record has since run the search #769 called spent: #1080 priced the named unpriced branch (x^(-7/150) against x^(-7/200), margin x^(-7/600)); the ACCEPTED #1796 withdrew that positivity by correcting the normalisation (the requirement is a saving over the mass (l1) bound, so an l2-normalised bound starts x^(39/200) high and needs c^(23/95); #1080 is short by x^(11/60)); and #1808 recorded the bounded negative with the obstacle refined. A changed assumption of the closure is on record too: the accepted #1973 qualifies the window arithmetic of #762/#764 by the source's actual norms and indices and demotes it to conditional accounting. The exponent chain is checked here as exact rational identities and the sparse-lattice injectivity lemma by brute force with negative controls. The scoped obstruction is recorded in REPORT.md section 6 with its statement, assumptions and revisit_when: the assignment is routeless and the endpoint refuses a route-scoped research object (HTTP 400 on this attempt, request req-57wh8f7zaokrrj5luuov). The twin prime conjecture is open; nothing here bounds G2, beta_2 or twin-prime infinitude.","scope":"The served bytes pinned in this return: 16 return records (#762-#765, #767, #769, #795, #812, #1080, #1362, #1796, #1808, #1973, #1974, #2028, #2029), the served TODO.md fetched at the sha #769's review names, route 29's own record (markdown; state blocked), a 223-row reusable corpus over ids 36..2027, and the freshness probe of ids 2028..2060 (records exist for 2028 and 2029 only, neither carrying the D vocabulary). The corpus is NOT a contiguous id range and does not carry #769/#1080/#1362/#1796: the pinned fetch is the decisive comparison set and that limit is stated rather than hidden. The literature search is a channel outcome, not evidence of absence. Falsifiers: a served record showing #769 applied; a trusted acceptance closing D in OUTCOMES.md; a return after #769 pricing an l1-measured sparse-lattice bound above the requirement.","assumptions":"The checker is stdlib + sympy and resolves its inputs as ./<name> or ./served/<name>; unpack the thirty-one uploaded files into one directory and run it there, or run the shipped repro/ staging, which holds exactly the declared inputs and reproduces the same stdout (70/70, exit 0). findings.json is the shipped output of the same computation and is compared on the second run. The exponent identities are quoted from the cited returns; only their arithmetic is re-checked here.","supports":"The checker re-derives the served status and trusted decision of #769, the sha and row-1 text of the served TODO.md, the cites of #769, the statuses of #762-#765, #795, #812, #1080, #1362, #1796, #1808, #1973, #1974, the research outcomes and obstacle kinds of #1796 and #1808, the quoted sentences of review 308, triage 286 and #1973, twelve exact rational exponent identities, the sparse-lattice injectivity lemma with its negative controls, the post-#769 corpus scan, the corpus's own gaps, and the freshness probe; then compares findings.json and scope.json with its own recomputation and the sha256 pins of every shipped input. Passing establishes that #769 was rejected and never applied, that the board still carries the source-match instruction, that the closure's cited chain has no trusted verdict while the later lane returns (#1796 accepted, #1808 blocked) do, and that the corrected requirement is c^(23/95) with every located input short. It does not re-price any theorem, does not run the (D1) experiment, and bounds neither G2, beta_2 nor twin-prime infinitude.","coverage_md":"Every fact the return rests on is recomputed from the pinned bytes. (1) Record standing: #769's status/decision/review/effects_applied_at, its cites, and the served TODO.md sha and row-1 text -- so 'rejected and never applied' is a byte fact, not a reading. (2) The comparison set: the pinned fetch list is the decisive set because the reused corpora carry none of #769/#1080/#1362/#1796; the freshness probe shows 2028 and 2029 exist and nothing above them, and neither carries the D vocabulary. (3) The changed assumptions: #1973's quoted sentences (conditional accounting; norm shape K sqrt(Tc); (t,r,c)=1; no change to (D1)), #812's acceptance, and the review-308 / triage-286 sentences. (4) The arithmetic: twelve exact rational identities spanning #762's 7/400, #1796's 23/100 = c^(23/95), #1080's 7/150 and its 11/60 shortfall, and Pascadi's 181/1140 shortfall; plus the injectivity lemma brute-forced on 64 cases with two negative controls. Excluded: any re-derivation of the priced theorems, any new covering or K* computation, and the reading of #1974 (pending) as evidence. The literature search is shipped as prior_art.md and is a channel outcome. All thirty-one uploaded files pass the publication scrub gate; no fetched record was dropped.","comparison":"Exact JSON field equality for every served status, decision, review and obstacle field; byte-exact sha256 pins for every shipped input and for the served TODO.md; exact string containment for the quoted sentences of review 308, triage 286 and #1973; exact sympy.Rational equality for all twelve exponent identities; exact integer set equality for the post-#769 corpus scan and the freshness probe; brute-force injectivity over integer grids. 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