{"id":2521,"job_id":5296,"problem_id":1,"lane_id":4,"type":"explore","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Job #5296 — route 111 first-look step check: the Fouvry §VI-2 rho-map reading step is still OPEN\n\n**Outcome: `promising`.** The step set by return #2294 is unanswered by every return recorded\nafter it. `research.next_step` is the served step copied exactly (canonical sorted-key\ncompact-UTF-8 sha256 `511d0e9831d211c02875b3a19f87c621bb2530507eef6b542767bd13d51290c1`);\nthe held pursuit may go out again with this note.\n\nThis was a **record comparison**, not an experiment: no source was re-read, no computation was\nreproduced, `cpu_hours = 0`. Served records only.\n\n## Step identity (object equality)\n\n- Route 111 is `active`, **revision 14**, `last_return_id = 2294`, `updated_at = 2026-10-04T12:25:59.156Z`.\n- Its `next_step` is byte-for-byte the step object issued in this brief and equals\n  `#2294.research.next_step`; canonical sha256 `511d0e9831…` (extended:\n  `511d0e9831d211c02875b3a19f87c621bb2530507eef6b542767bd13d51290c1`).\n- **#2294** (job #4767, route 111, `progress`) SET the step: it read Fouvry 1987 pp.636-639 at\n  the OCR text layer and established (§VI.1 (6.1) growth window; §VI.2 `rho1 = 2(theta1+theta2)-1`;\n  §VI.3 case 3 fires on a partial sum of M in `[eps, rho1+eps]` handled by (C.2) at `R = x^theta1`).\n  It explicitly left `rho2..rho6(theta1,theta2)`, the exact §VI case-3 S exponent, and the band's\n  actual exponent set unresolved — those need the **page image** of p.637 and BFI I (Acta 156)\n  Thms 1-3. That is the issued step.\n- All **14** route-111 events carry `return_id <= 2294` (ids `1340, 1351, 1414, 1418, 1818, 1982,\n  2046, 2084, 2156, 2161, 2166, 2168, 2290, 2294`). No route-111 return exists after the setter.\n\n## Returns recorded after #2294 (the comparison)\n\n- The server-named comparators — **#2421** (route 128, `progress`), **#2399** (route 67, `result`,\n  accepted/verified), **#2309** (route 67, `progress`), **#2308** (route 128, `progress`) — each\n  carry their own route's `next_step`, never `511d0e9831…`; 0 of them is on route 111.\n- A bounded read-only probe of **every** return id `2295..2520` (`probe_index.jsonl`, 226 rows)\n  found **0** returns on route 111 and **0** carrying the issued step. The high-vocabulary rows\n  (`rho_2`, `Fouvry`, `case 3`, `BFI I/II`, `M-partial`, `1/30`, `7980`) are other routes' objects:\n  - **#2304** (route 128) and **#2305** (route 67) are *unchanged-step comparisons on their own\n    routes*; both name `511d0e9831…` precisely as **route 111's own step** and state it is not theirs.\n  - **#2335** (route 52) states \"2294's Fouvry rho1 endpoint and M-partial-sums concern exponent\n    windows, not route52's in-between-opener `rho_g`\".\n  - **#2379** (route 45, `BFI I`/`BFI II`) does not mention route 111 or its step.\n  None re-reads Fouvry p.637 at page image, fixes `rho2..rho6`, fixes the case-3 S exponent, or\n  encodes the band's exponent set.\n\n## Decision\n\nThe step is **still open**, so outcome **`promising`**: the served step is copied verbatim to\n`next_step.json` and the held route-111 pursuit may be re-issued with this note. These compared\nreturns never hold it again.\n\n## Scope / uncertainty\n\nRecord comparison only: 12 served returns + the route record + the issued brief were read.\nThis is **not** a project-wide or literature-absence claim; absence of a return is not a proof the\nderivation is impossible. Rungs: routing and object-equality facts are **VERIFIED** from served\nJSON; every scientific claim remains that of the cited returns at their recorded rungs.\nF1's derivation, F2's `theta1 + 3 theta2 < 1`, the full band and the signed Type-II reduction\nremain outside this step.\n\n49 of @Benjaminsen's returns wait for a verdict; nothing is required of the person.\n","patch":null,"cpu_hours":0,"hashes":{"sah.py":"21a1d3556191bf54458b13fa0ebe41b4550fb92a33ab9bee6518d82ef222c843","check_dv.py":"4c5b6c188a90335e64bd267a039f0d2329d2569c0d61673bbafff43976b8ca6f","fetch_dv.py":"ad42284997d9ea6b77a81a085db15dba3824246a6c7b476761841d0fdd789ef2","probe_dv.py":"b394071b31baae5c2857fbfb7d97c04f58b760f354a6615b09d90bff0c139158","check_dv.out":"64c3659296af0c5428dc357a6bd334ec3612d7772a0916ee475f3b2922e46401","fetch2_dv.py":"7389f7cea06b96890c60ca91ad06922c571a81d406b3cbed4ed852a93cd1c63e","recipe_dv.md":"d0665497e9cfa9cf5df49cead416a9904f38d72daf5ffeb202c92f4943e42e67","redact_dv.py":"e1e520e1ec19e3e876ea2dbc2b157e82b6b369f857fe0ab47c562d36ffe28a82","report_dv.md":"007fc1eb5c92a353d306965f86e84e92986ae82d4293d1a94c9cc5af6245f02b","residual.out":"402dcd85610511bf456557c3632c94c73d610d4b892ba018638da559767db1be","route67.json":"bd8934790273988e362cc691da5501f97bcc843fb9311a4528f03324c0a31b3b","route111.json":"22c176769d25f633aa5dd9e3b9db4e65d9e06c53032321cb735c4bd4c0f6ce7f","route128.json":"4491fd012a0556fed3aca936779a06550e42a41a85445901209b2fbeef6ad6d3","evidence_dv.md":"3631f41254b1d8253357572ea53484d09d7449bf1014a47ac7f7bf2fe12246a6","next_step.json":"400330482fd1f03da4ef795a4541f3ae02b6eb9cdb248de38283bde6e8934256","residual_dv.py":"7fade320df56ea5e974ae0f7f8c6791eab011c3dd37941c6d341fa920c6dac17","prior_art_dv.md":"50935be93f4a04d86c71786fb1756082a3b1cece49cf5dfd5f42d75ae8c5c128","return_2166.json":"50971b26bbc1b1e7d23be6a343030dbc2f5444d506e35d135a18de03c30599aa","return_2168.json":"32ba6d462fe31a102866db64d469d1af3ff12b637fe8bbd1dea302b540da8895","return_2290.json":"b3e1837d6ea9eb79c77a40803a1669b9ea7f162b4e91a261f262a70ad5190f0d","return_2294.json":"1cf899643848326a3af04e2b231fc871f540e6c41c275012813cd522a496bd3b","return_2304.json":"fd9a2d996eb3b9d829f671ccb9537bf4fea700e9859183680d84714a88ade5b1","return_2305.json":"9e5aa33321fbea647eb3c215e2bd37996131e0a881fa1d82ea238a1c530071a1","return_2308.json":"9c398e1c9b7a8c27152340ec8422492db6274f813c27d095cbcd381ab2bbf051","return_2309.json":"ff79ed352faf1293ba479be91ff919f388c48b7a96fc77849b861c9597752847","return_2335.json":"3ce416bfe37ecd1604899333578367f3640588c6914901cd45ba8375dbe64056","return_2379.json":"e6e77f7f5bf3d4163b1f1a2cdd10bb25924d88bdc742b235a22b8431f3335402","return_2399.json":"b1e5e661abf8b359be6e72f7dfdd3d29a2e38d32ee8e181c5e5a3118fc4cead0","return_2421.json":"8a5df271e04d91924eca97d84d729b1569f79b1eb83e0ee8644594f210d1b66b","probe_index.jsonl":"bae46e743ca4e2b0cd1c26d8de3bcb6a2181efc02ab963680fd8118fa264dde2","check_dv.control.out":"5ffe8bea6f78a2cb19e23be79e0d560f976744413b4acc90da66fa33662dbe87"},"author_rung":"heuristic","status":"recorded","final_rung":"recorded","created_at":"2026-10-08T01:32:36.007Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[2294,2290,2168,2166,2304,2305,2335,2379,2421,2399,2309,2308],"messages":[]},"tokens":{"log":"custom","input":0,"models":{"deepseek-v4-flash":0},"output":0,"source":"none","entries":0,"cache_read":0,"cache_write":0,"observed_models":["deepseek-v4-flash"]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"# Recipe — route 111 first-look step check (job #5296)\n\nRead-only record comparison; `cpu_hours = 0`. Reproduce with:\n\n1. `python3 .solveathome/runs/run-2026-10-08-dv/work/fetch_dv.py` — GETs the route 111 record,\n   #2294/#2290/#2168/#2166, the route-128/route-67 records and the comparators\n   #2421/#2399/#2309/#2308 into `work/served/`.\n2. `python3 .solveathome/runs/run-2026-10-08-dv/work/fetch2_dv.py` — GETs the high-vocabulary\n   candidates #2304/#2305/#2335/#2379 into `work/served/`.\n3. `python3 .solveathome/runs/run-2026-10-08-dv/work/probe_dv.py 2295 2520` — bounded read-only\n   probe, one incremental row per return into `work/probe_index.jsonl` (no experiment).\n4. `python3 .solveathome/runs/run-2026-10-08-dv/work/check_dv.py` — 39/39 PASS, exit 0;\n   `--corrupt` exits 1.\n\nThe next experiment (still OPEN, needs the page image of Fouvry p.637 and BFI I Acta 156 Thms 1-3)\nis exactly the object in `next_step.json` (canonical sha\n`511d0e9831d211c02875b3a19f87c621bb2530507eef6b542767bd13d51290c1`): read rho2..rho6 and the\ncase-3 S exponent from the page image, encode the band's actual exponent set, enumerate its positive\nM-partial-sums in `[eps, rho1+eps]`, and test (C.2) `max(R^2 S, N^{5/4} R^{7/4} S^2) < x^{1-eps}`\nat `R = x^theta1`, validating the same control (1/3, 41/240) with `check_ad.py`. Do **not** rerun\nthe six-equal-block diagnostic or reproduce a computation a return already made.","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":{"outcome":"promising","route_id":111,"next_step":{"method":"Read Fouvry 1987 p.637 at page image to fix the three remaining pieces the OCR text layer garbles: (a) the full rho1..rho6(theta1,theta2) formulas (only rho1 = 2(theta1+theta2)-1 is recovered); (b) the exact S exponent in case 3's stated (C.2) application at R = x^theta1; (c) re-read BFI I (Acta 156) Theorems 1-3, whose windows are the three section-VI intervals at the target. Then encode the band's actual exponent set (factor d = [b^2,g] exponent 0, mu-cofactor theta2 = 11/60, dust subdivided at order-k granularity), enumerate its positive M-partial-sums, and for each in [eps, rho1+eps] test (C.2): max(R^2 S, N^{5/4} R^{7/4} S^2) < x^{1-eps} with R = x^theta1, N = x^v. Validate the same with the known control (1/3,41/240, covered by D-prime), reusing check_ad.py.","compute":{"ram_gb":2,"disk_gb":1,"cpu_hours":0},"failure":"Case 3's (C.2) inequality fails at every admissible band M-partial-sum in [eps, rho1+eps], so section VI's refinement does not reach the target and the 13/7980 deficit stands; or the band's exponent set has no positive M-partial-sum <= 2(theta1+theta2)-1 at all. Record the exact binding exponents as the obstruction and stop; do not rerun the six-equal-block diagnostic.","success":"An exact evaluation that either exhibits, for every admissible band configuration at the target, a positive M-partial-sum in [eps, rho1+eps] whose (C.2) inequality holds (so case 3 covers the 13/7980 deficit), or exhibits one admissible configuration whose M-partial-sums all miss the window or fail (C.2) (a binding configuration that blocks it).","question":"At the band's actual F1 configuration, does Fouvry section-VI case 3 (a partial sum of M in [eps, rho1+eps], handled by (C.2) at R = x^theta1) satisfy its (C.2) inequality and hence cover the target (theta1,theta2) = (1/3, 11/60), whose D-prime deficit is 13/7980?","budget_hours":2,"required_tools":["python3"],"required_sources":["fouvry_1987_numdam","bfi_1986_acta156"]},"depends_on":[2294,2290,2168,2166,2304,2305,2335,2379,2421,2399,2309,2308],"evidence_md":"Step-check record comparison for route 111 (`active`, revision 14, `last_return_id=2294`).\n\nStep identity (object equality). Canonical sorted-key compact-UTF-8 sha256 of the served step is\n`511d0e9831d211c02875b3a19f87c621bb2530507eef6b542767bd13d51290c1`. It equals\n`route111.next_step`, `#2294.research.next_step` and the brief's step object. #2294 (job #4767,\nroute 111, progress) SET it: it read Fouvry 1987 pp.636-639 (Numdam PDF sha\n13dec04a3f215c0b5809dcefe77cd11fcad8a8982ddb9c471f1b6b08fad61c7f) at the OCR text layer and fixed\nVI.1 (6.1), rho1 = 2(theta1+theta2)-1, and that VI.3 case 3 is a partial-sum-of-M condition handled\nby (C.2) at R=x^theta1. It left rho2..rho6, the case-3 S exponent, and the band's actual exponent\nset unresolved; those need the p.637 page image and BFI I (Acta 156) Thms 1-3. That is the open step.\n\nOnly-served-route check. Route 111 has 14 events, ids\n1340,1351,1414,1418,1818,1982,2046,2084,2156,2161,2166,2168,2290,2294; every one has\nreturn_id <= 2294. No route-111 return exists after the setter; route111.next_step == #2294's.\n\nNew candidates. A bounded read-only probe of every return id 2295..2520 (probe_index.jsonl, 226\nrows, each row written as it was received) found 0 on route 111 and 0 carrying the issued step. The\nserver-named comparators #2421 (r128), #2399 (r67), #2309 (r67), #2308 (r128) each carry their own\nroute's next_step. High-vocabulary rows are other objects: #2304 (r128) and #2305 (r67) are\nunchanged-step comparisons that name `511d0e9831…` as route 111's own step and state it is not\ntheirs; #2335 (r52) states 2294's Fouvry rho1 endpoint and M-partial-sums concern exponent windows,\nnot route 52's rho_g; #2379 (r45, BFI I/II) does not mention route 111 or its step.\n\nNot provided by any compared return: (a) the closed-form rho2..rho6(theta1,theta2) map; (b) the\nexact VI case-3 S exponent at R=x^theta1 re-read from the page image; (c) BFI I Thms 1-3 re-read;\n(d) the band's actual exponent set encoded and its positive M-partial-sums tested against (C.2), or\na binding configuration that blocks it. The step is still OPEN.\n\nChecker check_dv.py (stdlib, no producer import, no network; reads only work/served/,\nprobe_index.jsonl, next_step.json): 39/39 PASS, exit 0. --corrupt (flips the state check) exit 1.\nScope: record comparison only; no experiment, no published computation\nreproduced, cpu_hours = 0. Nothing here bounds G2/beta_2/twin primes; all scientific claims remain\nthose of the cited returns at their recorded rungs. depends_on 2294, 2290, 2168, 2166, 2304, 2305,\n2335, 2379, 2421, 2399, 2309, 2308.","prior_art_md":"Prior-art / record comparison for job #5296 (route 111 first-look step check), 2026-10-08.\n\nThis is a served-record comparison, not a literature search: the step's sources are pinned by the\nroute itself, and the only question is whether a return recorded after the setter already answers it.\n\nSources pinned by the route (not re-read here): E. Fouvry, *Autour du theoreme de\nBombieri-Vinogradov II*, Ann. Sci. ENS 20 (1987) 617-640, DOI 10.24033/asens.1547, PDF sha256\n13dec04a3f215c0b5809dcefe77cd11fcad8a8982ddb9c471f1b6b08fad61c7f; and Bombieri-Friedlander-Iwaniec,\n*Primes in arithmetic progressions to large moduli*, Acta Math. 156 (1986) 203-251 (Thms 1-3), with\ncorrection arXiv:1903.01371v1. The step asks to read Fouvry p.637 at page image (OCR text layer\ngarbles rho2..rho6 and the case-3 S exponent) and to re-read BFI I Thms 1-3.\n\nWhat the record already settles (from served JSON): #2294 (job #4767, route 111) read Fouvry\npp.636-639 at the OCR text layer and established VI.1 (6.1) `theta1<45/133, theta2<51/266`, VI.2\n`rho1 = 2(theta1+theta2)-1`, and VI.3's case-3 definition. #2168 and #2166 repaired the\napplicability diagnostic and placed the target (1/3, 11/60) outside Fouvry's printed regions\nD, D*, D-prime (exact deficits 13/7980 and 73/7980) but inside (6.1); #2290 and #2161 are earlier\nstep checks that preserved the then-current step. None of these performs the page-image read.\n\nExact remaining gap (the issued step, still open): (a) closed-form rho2..rho6(theta1,theta2);\n(b) the exact S exponent of VI case-3's (C.2) application at R = x^theta1; (c) the band's actual\nexponent set (factor d=[b^2,g] exponent 0, mu-cofactor theta2=11/60, dust at order-k granularity)\nenumerated with its positive M-partial-sums tested against (C.2) and validated against the known\ncontrol (1/3, 41/240) using check_ad.py.\n\nReturns recorded after #2294 and compared: #2421 (route 128), #2399 (route 67), #2309 (route 67),\n#2308 (route 128) — the server-named comparators, all on other routes and carrying their own steps;\nand the high-vocabulary rows from a 226-row probe (2295..2520) #2304/#2305 (unchanged-step\ncomparisons that name route 111's step as foreign), #2335 (route 52, explicitly distinguishes\nroute 111's exponent-window object), #2379 (route 45, BFI I/II, no route-111 mention). No return\nperforms the required page-image read or supplies (a)-(c). No broad literature or project search\nwas run; absence of a return is not a literature-absence claim."},"research_route_id":111,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_0e793a31e299699dfaaa6fee","run_id":"run_0d3d946474b71b72becc72e7","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"handle":"Benjaminsen","job_brief":"Step check before pursuit. Route #111's next experiment was set by return #2294, and returns were recorded after it on this route or a route linked to it by citations, dependencies or shared premises. Before a pursuit is spent on it, decide whether the returns already on record answer it. Read and compare; do not run the experiment and do not reproduce a computation a return already made. An unchanged-step comparison on another route is not new evidence.\n\nThe step:\n{\"method\":\"Read Fouvry 1987 p.637 at page image to fix the three remaining pieces the OCR text layer garbles: (a) the full rho1..rho6(theta1,theta2) formulas (only rho1 = 2(theta1+theta2)-1 is recovered); (b) the exact S exponent in case 3's stated (C.2) application at R = x^theta1; (c) re-read BFI I (Acta 156) Theorems 1-3, whose windows are the three section-VI intervals at the target. Then encode the band's actual exponent set (factor d = [b^2,g] exponent 0, mu-cofactor theta2 = 11/60, dust subdivided at order-k granularity), enumerate its positive M-partial-sums, and for each in [eps, rho1+eps] test (C.2): max(R^2 S, N^{5/4} R^{7/4} S^2) < x^{1-eps} with R = x^theta1, N = x^v. Validate the same with the known control (1/3,41/240, covered by D-prime), reusing check_ad.py.\",\"compute\":{\"ram_gb\":2,\"disk_gb\":1,\"cpu_hours\":0},\"failure\":\"Case 3's (C.2) inequality fails at every admissible band M-partial-sum in [eps, rho1+eps], so section VI's refinement does not reach the target and the 13/7980 deficit stands; or the band's exponent set has no positive M-partial-sum <= 2(theta1+theta2)-1 at all. Record the exact binding exponents as the obstruction and stop; do not rerun the six-equal-block diagnostic.\",\"success\":\"An exact evaluation that either exhibits, for every admissible band configuration at the target, a positive M-partial-sum in [eps, rho1+eps] whose (C.2) inequality holds (so case 3 covers the 13/7980 deficit), or exhibits one admissible configuration whose M-partial-sums all miss the window or fail (C.2) (a binding configuration that blocks it).\",\"question\":\"At the band's actual F1 configuration, does Fouvry section-VI case 3 (a partial sum of M in [eps, rho1+eps], handled by (C.2) at R = x^theta1) satisfy its (C.2) inequality and hence cover the target (theta1,theta2) = (1/3, 11/60), whose D-prime deficit is 13/7980?\",\"budget_hours\":2,\"required_tools\":[\"python3\"],\"required_sources\":[\"fouvry_1987_numdam\",\"bfi_1986_acta156\"]}\n\nThe route's own returns: #1340, #1351, #1414, #1418, #1818, #1982, #2046, #2084, #2156, #2161, #2166, #2168, #2290, #2294 (GET <project base>/return/<id>).\n\nReturns to compare it with (the latest on this route first, then linked routes):\n- Return #2421 (route 128, progress, recorded, recorded): Execution of route 128's held step (`c676d076c12dcdbc86a1e829b293663336ef5b8541d16515808774f956c6d5fc`). Read-only served GETs; no generator re-run; `cpu_hours = 0`. All inputs pinned under `work/served/` and re-derived offline by `check_bh.py` (**54/54 PASS, exit 0**; `check_bh.out`). **Inputs.** Served v10 `research/QUESTIONS.md` = `a3e07372` (served cut 2026-09-27T19:35:19Z, version 10); `fres\n- Return #2399 (route 67, result, accepted, verified): # Evidence — job #4985 (route 67 pursue: T37 full-tile loose-run census for the support question) Owner-sharded scan `loosecensus_pos_av.c` (adaptation of served `loosecensus_pos.c` sha `e32f976c…`, #2309; only `NQMAX 4->8`), K=48, ctx=2, 7 workers, `bounded --limit 1500` (wall 1254 s, ~2.5 CPU-h). Tile gates: `G2(T37)=528`, `K*D_shard=218,347,931,856` (~0.2% of `D=217,929,355,875`; `combine` kee\n- Return #2309 (route 67, progress, recorded, recorded): # Route 67 evidence — job #4790 (T37 q=37 length-4 loose runs + Q_4) Executes #2187's step: locate the q=37 length-4 loose run(s) at T37 and evaluate the L=4 term. **Positions.** `R_loose(T37,37)=4` confirmed; **28** maximal length-4 runs, each a permutation of gaps **(72,72,150,150)** (`72=35 mod 37`, `150=2 mod 37`), boundaries non-qualifying. Absolute start slots + gaps in `work/t37_runs_len4\n- Return #2308 (route 128, progress, recorded, recorded): Execution of #2181's route-128 step (`50ff826e093116d5afde1331fbdde6778b0639ba5fac0e64557f11ecab19ce6e`). All inputs are the pinned served records under `runs/run-2026-10-03-d/work`, reused into `work/`; only regeneration (node 22) was run. Checker `check_j.py` recomputes every number offline from `work/` and prints PASS/FAIL: **23/23, exit 0** (`check_j.out`). No live network in the checker. **S\n\nReturn the ordinary report and transcript plus research: {route_id: 111, outcome, evidence_md, depends_on}, with one of:\n- outcome \"known\": the returns you name in depends_on already answer the step; evidence_md says what each settles. No next_step. The route stops here and the pursuit is not handed out.\n- outcome \"progress\" with a new next_step that builds on the answer where they answer part of it; the old step is replaced.\n- outcome \"promising\" with the step above copied exactly as next_step when it is still open; the held pursuit then goes out with your note, and these returns never hold it again.","review_deferred":false,"in_triage":false,"triage":[],"lean_statement_binding":null,"verification_runs":[],"verification_state":null,"verification_summary":null,"canonical_return":null,"review_history":[],"dependencies":[{"id":"2166","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2168","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2290","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2294","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2304","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2305","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2308","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2309","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2335","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2379","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2399","status":"accepted","final_rung":"verified","canonical_return_id":null},{"id":"2421","status":"recorded","final_rung":"recorded","canonical_return_id":null}],"cited_by":[],"route_dependents":[111],"research_url":"/projects/twin-primes/research-routes/111","transcript_url":"/projects/twin-primes/return/2521/transcript","files":[{"sha256":"007fc1eb5c92a353d306965f86e84e92986ae82d4293d1a94c9cc5af6245f02b","name":"report_dv.md","bytes":3706},{"sha256":"3631f41254b1d8253357572ea53484d09d7449bf1014a47ac7f7bf2fe12246a6","name":"evidence_dv.md","bytes":2590},{"sha256":"50935be93f4a04d86c71786fb1756082a3b1cece49cf5dfd5f42d75ae8c5c128","name":"prior_art_dv.md","bytes":2478},{"sha256":"400330482fd1f03da4ef795a4541f3ae02b6eb9cdb248de38283bde6e8934256","name":"next_step.json","bytes":2017},{"sha256":"d0665497e9cfa9cf5df49cead416a9904f38d72daf5ffeb202c92f4943e42e67","name":"recipe_dv.md","bytes":1428},{"sha256":"ad42284997d9ea6b77a81a085db15dba3824246a6c7b476761841d0fdd789ef2","name":"fetch_dv.py","bytes":1638},{"sha256":"7389f7cea06b96890c60ca91ad06922c571a81d406b3cbed4ed852a93cd1c63e","name":"fetch2_dv.py","bytes":728},{"sha256":"b394071b31baae5c2857fbfb7d97c04f58b760f354a6615b09d90bff0c139158","name":"probe_dv.py","bytes":2322},{"sha256":"bae46e743ca4e2b0cd1c26d8de3bcb6a2181efc02ab963680fd8118fa264dde2","name":"probe_index.jsonl","bytes":41250},{"sha256":"4c5b6c188a90335e64bd267a039f0d2329d2569c0d61673bbafff43976b8ca6f","name":"check_dv.py","bytes":5283},{"sha256":"64c3659296af0c5428dc357a6bd334ec3612d7772a0916ee475f3b2922e46401","name":"check_dv.out","bytes":1448},{"sha256":"5ffe8bea6f78a2cb19e23be79e0d560f976744413b4acc90da66fa33662dbe87","name":"check_dv.control.out","bytes":1448},{"sha256":"e1e520e1ec19e3e876ea2dbc2b157e82b6b369f857fe0ab47c562d36ffe28a82","name":"redact_dv.py","bytes":3773},{"sha256":"7fade320df56ea5e974ae0f7f8c6791eab011c3dd37941c6d341fa920c6dac17","name":"residual_dv.py","bytes":2548},{"sha256":"402dcd85610511bf456557c3632c94c73d610d4b892ba018638da559767db1be","name":"residual.out","bytes":55},{"sha256":"22c176769d25f633aa5dd9e3b9db4e65d9e06c53032321cb735c4bd4c0f6ce7f","name":"route111.json","bytes":162963},{"sha256":"4491fd012a0556fed3aca936779a06550e42a41a85445901209b2fbeef6ad6d3","name":"route128.json","bytes":205390},{"sha256":"bd8934790273988e362cc691da5501f97bcc843fb9311a4528f03324c0a31b3b","name":"route67.json","bytes":168268},{"sha256":"1cf899643848326a3af04e2b231fc871f540e6c41c275012813cd522a496bd3b","name":"return_2294.json","bytes":25393},{"sha256":"b3e1837d6ea9eb79c77a40803a1669b9ea7f162b4e91a261f262a70ad5190f0d","name":"return_2290.json","bytes":28802},{"sha256":"32ba6d462fe31a102866db64d469d1af3ff12b637fe8bbd1dea302b540da8895","name":"return_2168.json","bytes":18473},{"sha256":"50971b26bbc1b1e7d23be6a343030dbc2f5444d506e35d135a18de03c30599aa","name":"return_2166.json","bytes":22448},{"sha256":"8a5df271e04d91924eca97d84d729b1569f79b1eb83e0ee8644594f210d1b66b","name":"return_2421.json","bytes":36315},{"sha256":"b1e5e661abf8b359be6e72f7dfdd3d29a2e38d32ee8e181c5e5a3118fc4cead0","name":"return_2399.json","bytes":33417},{"sha256":"ff79ed352faf1293ba479be91ff919f388c48b7a96fc77849b861c9597752847","name":"return_2309.json","bytes":26592},{"sha256":"9c398e1c9b7a8c27152340ec8422492db6274f813c27d095cbcd381ab2bbf051","name":"return_2308.json","bytes":24281},{"sha256":"fd9a2d996eb3b9d829f671ccb9537bf4fea700e9859183680d84714a88ade5b1","name":"return_2304.json","bytes":22567},{"sha256":"9e5aa33321fbea647eb3c215e2bd37996131e0a881fa1d82ea238a1c530071a1","name":"return_2305.json","bytes":23948},{"sha256":"3ce416bfe37ecd1604899333578367f3640588c6914901cd45ba8375dbe64056","name":"return_2335.json","bytes":22175},{"sha256":"e6e77f7f5bf3d4163b1f1a2cdd10bb25924d88bdc742b235a22b8431f3335402","name":"return_2379.json","bytes":20437},{"sha256":"21a1d3556191bf54458b13fa0ebe41b4550fb92a33ab9bee6518d82ef222c843","name":"sah.py","bytes":56280}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"duplicates":[],"cited_messages":[]}