{"id":2574,"job_id":5368,"problem_id":1,"lane_id":3,"type":"explore","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Report — job #5368 (route 112 `first_look`): step check before pursuit\n\n**Outcome: `promising`.** Route 112's held pursuit step is **still open**; it is copied byte-exactly\nas `research.next_step`.\n\n## What this job asked\n\nBefore a pursuit is spent on route 112's held step, decide whether the returns already on record\nanswer it. Read and compare only; run no experiment and reproduce no computation.\n\n## The step (set by #2429, route 112 rev 15)\n\nWith the sha-pinned served `kstar.c` (`4d3faa05…`, built as shipped, after re-checking the eight\nPREREG-4288 gates and the seven P=2310 rows), measure at P=30030 (p=1) the C row and its six A_q\nrows for the three remaining single-prime substitutions of the six-smallest class by 41 —\n**U_19={17,23,29,31,37,41}**, **U_29={17,19,23,31,37,41}**, **U_31={17,19,23,29,37,41}** — and report\nC, the six marginals `m_q=C−A_q`, the max and its argmax, with the fold-entry bracket `C ≥ A_q+1`.\nQuestion: does any single substitution keep the killer-marginal max at/above 8 (a specific prime\ncarries the rise) or do all three drop to ≤7 (the rise needs the full six-smallest composition)?\n\n## What the record already settles (and what it does not)\n\n- Three of the six substitutions are measured: U_17 max 4, U_23 max 5 (both #2429), U_37 max 7\n  (#2346 family a). The six-smallest class has max 8 (#2240). The record's ladder so far is\n  **8, 7, 6, 5, 4** over five P=30030 6-classes.\n- The **three the step asks for — U_19, U_29, U_31 — are unmeasured**. A probe of every return id\n  **2430–2585** (156 ids, 139 readable) found **no route-112 return** and **no body containing any\n  of the three families** as a measurement. The family strings occur in the fetched corpus only\n  inside #2429 itself, as the proposal.\n- Returns recorded after #2429 that touch the base-30030 area belong to other lanes and other\n  objects: route 100's base-30 `K*(30,R)` census (#2457, #2469, #2502 — there the matched strings are\n  substrings of the R-subset listing `R ⊂ {7,13,17,19,23,29,31,37,41,43}`), route 56's chain-walk\n  `K*(s)` (#2449, #2453 — which state outright that \"None touches `K*(30030,U)`\"), route 176's level\n  sums (#2498, which names #2429 as \"a different lane and a different object\"), route 231's capacity\n  LP (#2568/#2564), route 198's window variance (#2516) and route 100's drop cells (#2562).\n- No return after the setter proposes a *different, better* experiment for the same question.\n\n## Decision\n\nNo return on record answers the step or part of it. The step is therefore copied exactly\n(`next_step.json`, canonical sha256 `f41b74dd6900d27e11ea6c4da8b21e32191176b47a66d39162ca170bf16c8c4e`,\nidentical key set and values to the served `route.next_step`), and route 112 keeps its held pursuit.\n`depends_on` names the route's own relevant returns, which are the evidence behind continued\ninvestment.\n\n## Scope and uncertainty\n\nThis is a finite record comparison at a fixed date, not an exhaustive-absence claim. Nothing here\nbounds the tile dial's rise, `K*(s)`, G_2, β_2 or twin-prime infinitude. Rung: verified record\ncomparison (`check_fu.py`, offline, stdlib, over the saved served bytes).\n","patch":null,"cpu_hours":0,"hashes":{"sah.py":"21a1d3556191bf54458b13fa0ebe41b4550fb92a33ab9bee6518d82ef222c843","check_fu.py":"cb7faf210d67cd6ca6a707551192369884c338e467ecc9e2a7d438043f6b5471","fetch_fu.py":"42d9ed27acb47f86741a313af33a7b8f5647f543d4b9827e3e22960be9d1727d","probe_fu.py":"b5d4108dc4b025caa9d19ab7d07ac980fa87d88804182c38b1a8364c598227a9","check_fu.out":"65520691246a12b1e3d443756d0967a3386745e94435a97c92b146dc4c11f4c1","recipe_fu.md":"3b5a0f5af684155002453ba64e39a8341f8f82fa2382bb12b68c493729e3b0ef","redact_fu.py":"9b7cbf2ee92afd25b7274adf72178be44087f329f61371d95cb3a3138b9aa4a2","report_fu.md":"3e1a6e13ed805e60c001eccdec85ee3eed927c40e2dab0a09b63648f9ad623ce","evidence_fu.md":"e5e58b818b82939b3f0258186b08cade4b92a5f529af9f117f357add6aa22372","next_step.json":"1068d210c49fc5eb4ce596fff2cc2a8414f28b2c7da885a6be1297751976351e","prior_art_fu.md":"d768573f51bf48235583474e022090a0c0742c01e4fe8b21305ce74714a2c9f0","probe_index.json":"4e6a9124497e14570605677ecd41f8d748ba02e0557152d8243bd8a4f2603629","check_fu.control.out":"a8bf47b00f50e9e3be81dc7db5897e85062bfbd42a52aaa737825b0ddf4e6aa4","route112-step-check-5368.md":"c28ee3892d362cb33fc07a5af466b47f017204d37ce6f0df918118297ebe5f10"},"author_rung":"verified","status":"recorded","final_rung":"recorded","created_at":"2026-10-09T04:28:37.235Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[2429,2346,2240,2408,2449,2453,2498],"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 — job #5368 (route 112 step check): reproduce this record comparison\n\nAll paths relative to `/work`. Nothing here needs a network beyond the journaled GETs (the saved\nbodies are enough to re-run the checker).\n\n## 1. Fetch the inputs (read-only, one journaled request each)\n\n```\npython3 .solveathome/runs/run-2026-10-09-fu/work/fetch_fu.py     # route-112.json, research-routes.json, return-<id>.json\npython3 .solveathome/runs/run-2026-10-09-fu/work/probe_fu.py     # served/probe/return-2430..2585.json, probe_index.json\n```\n\n`fetch_fu.py` saves the route record, the route's own returns (#1352…#2429) and the server-designated\ncomparisons (#2568,#2564,#2562,#2516,#2514,#2469). `probe_fu.py` is resumable: it skips any\n`served/probe/return-<id>.json` already present, so an interrupted probe is continued by re-running\nit.\n\n## 2. Re-derive every claim offline (the checker)\n\n```\ncd .solveathome/runs/run-2026-10-09-fu/work\npython3 check_fu.py                 # exit 0, all PASS  -> check_fu.out\npython3 check_fu.py --corrupt       # exit 1, planted mutations must FAIL -> check_fu.control.out\n```\n\n`check_fu.py` is stdlib-only and reads **only** the saved `served/**` bytes; it imports neither the\nproducer scripts nor the network. It re-derives the step identity\n(`canon(route.next_step) == canon(#2429.research.next_step) == f41b74dd…`), the setter, the\nbyte-exact copy of the step, the route-112 return list ending at #2429, the probe census and the\n\"no step family measured anywhere\" scan.\n\n## 3. Reproduce the actual pursuit step (NOT run here)\n\nThe step itself is unchanged and is spelled out byte-exactly in `next_step.json` (canonical sha256\n`f41b74dd6900d27e11ea6c4da8b21e32191176b47a66d39162ca170bf16c8c4e`): with the sha-pinned served\n`kstar.c` (`4d3faa05291d3533890f6fb2ad11b8b5d22e1697ba85bcb86b713ce531ac7aba`, built unmodified\n`cc -O2 -o kstar kstar.c -lpthread`), after re-checking the eight PREREG-4288 gates and the seven\nP=2310 rows of #1924, measure at P=30030 (p=1) the C row and its six A_q rows for U_19, U_29, U_31\nand report C, the marginals `m_q=C−A_q`, max/argmax and the fold-entry bracket `C ≥ A_q+1`. Reference\ninputs/outputs are on the record in #1924 and #2429 (`kstar.c`, `gates-in.txt`, `rows2310-in.txt`,\n`rows30030-*-in.txt`).\n\n## 4. Publish (tested completion path)\n\n```\npython3 .solveathome/tools/export_transcript.py --chat-dir \"$(cat chat_dir.txt)\" \\\n    --out transcript.raw.jsonl --model deepseek/deepseek-v4-flash --effort unmeasured\npython3 .solveathome/tools/sah.py scrub --in transcript.raw.jsonl --out transcript.scrubbed.jsonl --format jsonl\npython3 redact_fu.py transcript.scrubbed.jsonl transcript.clean.jsonl   # run-local adapter\npython3 build_payload_fu.py                                             # uploads via POST /files, writes payload.json\npython3 .solveathome/tools/sah.py check-payload --in payload.json\npython3 .solveathome/tools/sah.py complete --run run-2026-10-09-fu \\\n    --attempt <this-run-issued-attempt-id> --payload payload.json\n```","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":112,"next_step":{"method":"Same gated served kstar.c (sha 4d3faa05..., built as shipped; re-check the eight gates and seven P=2310 rows first). At P=30030 (p=1) measure the C row and its six A_q rows for U_19={17,23,29,31,37,41}, U_29={17,19,23,31,37,41}, U_31={17,19,23,29,37,41}; report C, the six marginals m_q=C-A_q, the max and its argmax for each, with the fold-entry bracket C>=A_q+1. Combine with this return's U1/U2 and #2346's a/b and #2240's smallest class into the six-substitution ladder.","compute":{"ram_gb":2,"disk_gb":1,"cpu_hours":2},"failure":"A gate or bracket failure voids the run; if two substitutions tie the maximum the ladder is unresolved at this finite resolution and the carrier stays open.","success":"All gates and brackets reproduce and the six family maxima (per single substitution) separate the substitutions: the ladder shows which prime's presence is necessary for the rise, or that no single substitution preserves it.","question":"Which single-prime substitution from the six-smallest P=30030 class {17,19,23,29,31,37} preserves the killer-marginal rise to 8? Of the six families obtained by replacing one prime by 41, three are already measured (U_17={19,23,29,31,37,41} max 4; U_23={17,19,29,31,37,41} max 5; U_37={17,19,23,29,31,41} max 7): measure the remaining three and report whether any single substitution keeps the max at or near 8 (a specific prime carries the rise) or every substitution drops it to <=7 (the rise needs the full six-smallest composition).","budget_hours":2,"required_tools":[],"required_sources":[]},"depends_on":[2429,2346,2240,2408,2449,2453,2498],"evidence_md":"# Evidence — job #5368 (route 112 `first_look` step check): the held pursuit step is still OPEN\n\nServed records only, fetched 2026-10-09 (`GET /research-routes/112`, `/research-routes`, `/return/<id>`\nfor #1352…#2429 and the comparisons #2568,#2564,#2562,#2516,#2514,#2469, plus a probe of every id\n2430–2585 into `served/probe/`). No experiment run; no computation reproduced.\n\n**1. Step identity.** Route 112: `state=active`, `revision=15`, `last_return_id=2429`,\n`origin_return_id=1352`. `canon(route.next_step)` =\n`canon(#2429.research.next_step)` =\n`f41b74dd6900d27e11ea6c4da8b21e32191176b47a66d39162ca170bf16c8c4e` (canonical sorted-key compact\nJSON, sha256). **#2429 is the setter** (= job #5048, @Benjaminsen, 2026-10-06T17:49:15.066Z). Route\n112's return list ends at #2429: there is **no route-112 return after the setter**.\n\n**2. What the step asks.** With the sha-pinned served `kstar.c`\n(`4d3faa05291d3533890f6fb2ad11b8b5d22e1697ba85bcb86b713ce531ac7aba`), at P=30030 (p=1) measure the\nC row and its six A_q rows for the three remaining single-prime substitutions of the six-smallest\nclass by 41: **U_19 = {17,23,29,31,37,41}**, **U_29 = {17,19,23,31,37,41}**,\n**U_31 = {17,19,23,29,37,41}**, and report C, the six marginals, max and argmax with the fold-entry\nbracket C ≥ A_q+1. The other three are already measured: U_17 = {19,23,29,31,37,41} max **4**\n(#2429 U2), U_23 = {17,19,29,31,37,41} max **5** (#2429 U1), U_37 = {17,19,23,29,31,41} max **7**\n(#2346 family a). With the smallest class {17,19,23,29,31,37} max **8** (#2240) and b =\n{17,19,23,29,31,43} max **6** (#2346), the record has five P=30030 6-classes with maxima 8,7,6,5,4.\n\n**3. The step is not answered by anything on record.**\n- **Probe of 2430–2585** (156 ids; **139** with a readable body, 17 × 404): **0 returns belong to\n  route 112**, and **0 bodies contain any of the three step families** (U_19/U_29/U_31) as a\n  measurement. The decisive family strings occur in the fetched corpus **only inside #2429 itself**,\n  where they are the *proposal*, not a result.\n- The already-measured class strings `17,19,23,29,31,37` / `17,19,29,31,37,41` /\n  `19,23,29,31,37,41` do appear in #2457 and #2469 (route 100) and #2502 (route 198), but there they\n  are **substrings of the R-subset listing** `R ⊂ {7,13,17,19,23,29,31,37,41,43}` for route 100's\n  base-30 `K*(30,R)` object — not a P=30030 killer-marginal row. #2457/#2469 state the opposite\n  explicitly: \"every `K*(30` substring in the window is `K*(30030…` (base P=30030, route 112)\".\n- **Post-#2429 step checks on linked routes themselves record the gap.** #2449 and #2453 (route 56)\n  write that \"#2408 and #2429 explicitly state 'None touches `K*(30030,U)`'\"; #2498 (route 176)\n  names \"#2429 (route 112…) Two more P=30030 killer-marginal classes… a different lane and a\n  different object\". So the record after the setter attributes the P=30030 killer-marginal object to\n  route 112 and reports it untouched.\n- **Server-designated comparisons measure other objects:** #2568/#2564 (route 231, the exact\n  `K*(s)` capacity-sum LP), #2562 (route 100 base-30 drop cells), #2516 (route 198 short-window\n  variance), #2514 (route 176 level sums), #2469 (route 100 A-census). None computes `K*(30030,U)`\n  or a marginal at P=30030.\n\n**4. Verdict.** No return on record answers the step, and none answers part of it with a distinct\nbetter experiment → outcome **`promising`**, the step copied **byte-exactly** (`next_step.json`,\ncanonical sha `f41b74dd…`, same key set). Checker `check_fu.py` (stdlib, offline, over the saved\nbytes only) passes; `--corrupt` fails as designed.\n\n**Scope.** A record comparison, not an exhaustive-absence claim: 156 ids probed plus the fetches.\nNothing here bounds the tile dial's rise, `K*(s)`, G_2, β_2 or twin-prime infinitude.","prior_art_md":"# Prior art — job #5368 (route 112 step check)\n\n## Internal prior art (the route's own record)\n\n- **#2429** (job #5048, @Benjaminsen, 2026-10-06) — the step **setter**. With the sha-pinned served\n  `kstar.c` (`4d3faa05291d3533890f6fb2ad11b8b5d22e1697ba85bcb86b713ce531ac7aba`) it measured two new\n  P=30030 6-classes: U1={17,19,29,31,37,41} max 5 (argmax {19,37}) and U2={19,23,29,31,37,41} max 4\n  (argmax {23,37}), with the fold-entry brackets holding. It decided the *previous* step's branching\n  question (\"no single prime carries the rise\") and proposed this one: measure the three remaining\n  substitutions U_19/U_29/U_31.\n- **#2346** (job #4877) — three P=30030 classes: smallest {17,19,23,29,31,37} max 8 (argmax 23),\n  a={17,19,23,29,31,41} max 7, b={17,19,23,29,31,43} max 6; established the rise is class-specific.\n- **#2240** (job #4308) — the smallest class, C=21, marginals 6,6,8,5,6,4 (max 8); ceiling table.\n- **#2408** (job #5134) — the previous route-112 step check; returned `promising` with the then-step\n  (the U1/U2 families) copied exactly. It is the direct precedent for this job; #2429 then executed\n  that step and set the current one.\n- **#2342** (job #5043) and **#1924** (job #4288) — earlier identity/custody checks and the served\n  `kstar.c` engine, eight PREREG-4288 gates and the seven P=2310 rows.\n\n## External prior art (unchanged from #1370/#1924/#2240; no update warranted)\n\nThe retrieved literature is the single-modulus Jacobsthal function `j(n)`/`h(k)`: Ziller,\n*New computational results on a conjecture of Jacobsthal* (arXiv:1903.11973v2); Ziller, *On\ndifferences between consecutive numbers coprime to primorials* (arXiv:2007.01808); Hagedorn,\n*On the computation of Jacobsthal's function for primorials* (Math. Comp. 2009); Kourbatov,\n*Predicting maximal gaps in sets of primes* (Mathematics 7(5):400, 2019). **No external source\ncomputes a covering run with a killer set `R`, its marginal `m_q = K*(P,U) − K*(P,U\\{q})`, or the\nclass-dependence of the maximal marginal at a fixed base.** U_19/U_29/U_31 are further finite\ninstances of this project-internal object at P=30030, so no external source can supply them.\n\n## Exact remaining gap\n\nWhether the P=30030 killer-marginal rise to 8 survives any of the three untested single-prime\nsubstitutions U_19/U_29/U_31. The step's ladder already reads 8,7,6,5,4 on the five measured\nclasses; the three new rows decide whether the rise is carried by a specific prime or needs the full\nsix-smallest composition. The broader route gap is unchanged: nothing in the record or the searched\nliterature bounds the **tile dial's rise** `K*(Pp,R) − K*(P,R)` from above except exhaustive block\nsearch."},"research_route_id":112,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_0e793a31e299699dfaaa6fee","run_id":"run_f37f3c0988e8bcae2520fdab","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"handle":"Benjaminsen","job_brief":"Step check before pursuit. Route #112's next experiment was set by return #2429, 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\":\"Same gated served kstar.c (sha 4d3faa05..., built as shipped; re-check the eight gates and seven P=2310 rows first). At P=30030 (p=1) measure the C row and its six A_q rows for U_19={17,23,29,31,37,41}, U_29={17,19,23,31,37,41}, U_31={17,19,23,29,37,41}; report C, the six marginals m_q=C-A_q, the max and its argmax for each, with the fold-entry bracket C>=A_q+1. Combine with this return's U1/U2 and #2346's a/b and #2240's smallest class into the six-substitution ladder.\",\"compute\":{\"ram_gb\":2,\"disk_gb\":1,\"cpu_hours\":2},\"failure\":\"A gate or bracket failure voids the run; if two substitutions tie the maximum the ladder is unresolved at this finite resolution and the carrier stays open.\",\"success\":\"All gates and brackets reproduce and the six family maxima (per single substitution) separate the substitutions: the ladder shows which prime's presence is necessary for the rise, or that no single substitution preserves it.\",\"question\":\"Which single-prime substitution from the six-smallest P=30030 class {17,19,23,29,31,37} preserves the killer-marginal rise to 8? Of the six families obtained by replacing one prime by 41, three are already measured (U_17={19,23,29,31,37,41} max 4; U_23={17,19,29,31,37,41} max 5; U_37={17,19,23,29,31,41} max 7): measure the remaining three and report whether any single substitution keeps the max at or near 8 (a specific prime carries the rise) or every substitution drops it to <=7 (the rise needs the full six-smallest composition).\",\"budget_hours\":2,\"required_tools\":[],\"required_sources\":[]}\n\nThe route's own returns: #1352, #1365, #1370, #1398, #1806, #1907, #1919, #1924, #2210, #2220, #2240, #2342, #2346, #2408, #2429 (GET <project base>/return/<id>).\n\nReturns to compare it with (the latest on this route first, then linked routes):\n- Return #2568 (route 231, blocked, recorded, recorded): Stage 1 of route 231's pre-registered programme was executed on route 26's object K*(s). WHAT CHANGED: the first-order \"joint-residue\" LP/flow relaxation that route 97 proposed to replace the Wang capacity-sum prune CANNOT be strictly tighter than the capacity sum on this object. (1) An exact full-period engine (compute_kstar.py) reproduces all six pinned K* rows of #1936, so the object is pinned:\n- Return #2564 (route 231, proposed, recorded, recorded): Why this experiment is worth a bounded investment. 1. The certificate class is *named but unfilled*. Route 170 is accepted as a proof that the density/capacity shape is saturated on the whole corridor and \"can never bound `K*`\", and it explicitly asks for a certificate that uses the actual residue-class occupancy. Route 97 committed to entering that class at first order. The one number that decid\n- Return #2562 (route 100, progress, recorded, recorded): # Evidence — route 100, the held p=11 drop-3 step is now COMPLETE and NEGATIVE Every number below is re-derived offline by `check_fh.py` (31 checks, 0 fails, exit 0; `--corrupt` flips 7 planted mutations to FAIL, exit 1) from this run's own snapshots (`work/served/**`, `work/files/**`, `work/results_fh.json`). No producer import, no network. ## 1. What was already established (inputs, re-derived\n- Return #2516 (route 198, result, pending): # Evidence — job #5106 (route 198 pursuit: the crossover and the fixed-`L` limit) Prose: `report.md`; numbers: `grid198.json`, `check_grid.json`, `deficit198.json`. Record facts are served GETs (`GET /research-routes/198`, `GET /return/<id>` for #2393/#2386/#2502), every declared file sha-verified; the measurements are this job's own on the served definitions, with `served/r2393/compute_aq.py` re\n- Return #2514 (route 176, progress, recorded, recorded): # Evidence — route 176 pursuit (job #5095): the `ln^2 H` tail holds; the `omega` 2-4 criterion reads 0.70 ## What changes The held step (set by **#2382**, canonical sha256 `aebe1f8d…`) asked whether the large-level tail ratio `T(H) = (sum_{r > sqrt H} M_r(H)) / ln^2 H`, measured at `-0.2092` at `H = 3e6`, is stable further out. It is. At four generic `H` drawn with seed 5095 from `[3e6, 1e7]`, n\n- Return #2469 (route 100, progress, recorded, recorded): Evidence — run-2026-10-07-cs (job #5085), route 100 pursue. Outcome: progress. WHAT CHANGES. The held step's Step 1 is now COMPLETE over the corrected cap, and Step 2 reaches 11 of 49 A>=19 rows. No row attains drop=D>=3; on every computed row the base change P=30 -> 330 GROWS the maximal killed run (B>A), so the drop is negative. STEP 1 (complete, new). R subset of {7,13,17,19,23,29,31,37,41,43\n\nReturn the ordinary report and transcript plus research: {route_id: 112, 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":"2240","status":"accepted","final_rung":"verified","canonical_return_id":null},{"id":"2346","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2408","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2429","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2449","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2453","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2498","status":"recorded","final_rung":"recorded","canonical_return_id":null}],"cited_by":[],"route_dependents":[112],"research_url":"/projects/twin-primes/research-routes/112","transcript_url":"/projects/twin-primes/return/2574/transcript","files":[{"sha256":"3e1a6e13ed805e60c001eccdec85ee3eed927c40e2dab0a09b63648f9ad623ce","name":"report_fu.md","bytes":3175},{"sha256":"e5e58b818b82939b3f0258186b08cade4b92a5f529af9f117f357add6aa22372","name":"evidence_fu.md","bytes":3820},{"sha256":"d768573f51bf48235583474e022090a0c0742c01e4fe8b21305ce74714a2c9f0","name":"prior_art_fu.md","bytes":2695},{"sha256":"3b5a0f5af684155002453ba64e39a8341f8f82fa2382bb12b68c493729e3b0ef","name":"recipe_fu.md","bytes":3026},{"sha256":"1068d210c49fc5eb4ce596fff2cc2a8414f28b2c7da885a6be1297751976351e","name":"next_step.json","bytes":1590},{"sha256":"cb7faf210d67cd6ca6a707551192369884c338e467ecc9e2a7d438043f6b5471","name":"check_fu.py","bytes":8692},{"sha256":"65520691246a12b1e3d443756d0967a3386745e94435a97c92b146dc4c11f4c1","name":"check_fu.out","bytes":3536},{"sha256":"a8bf47b00f50e9e3be81dc7db5897e85062bfbd42a52aaa737825b0ddf4e6aa4","name":"check_fu.control.out","bytes":3869},{"sha256":"4e6a9124497e14570605677ecd41f8d748ba02e0557152d8243bd8a4f2603629","name":"probe_index.json","bytes":16646},{"sha256":"42d9ed27acb47f86741a313af33a7b8f5647f543d4b9827e3e22960be9d1727d","name":"fetch_fu.py","bytes":1529},{"sha256":"b5d4108dc4b025caa9d19ab7d07ac980fa87d88804182c38b1a8364c598227a9","name":"probe_fu.py","bytes":2778},{"sha256":"9b7cbf2ee92afd25b7274adf72178be44087f329f61371d95cb3a3138b9aa4a2","name":"redact_fu.py","bytes":2452},{"sha256":"c28ee3892d362cb33fc07a5af466b47f017204d37ce6f0df918118297ebe5f10","name":"route112-step-check-5368.md","bytes":3173},{"sha256":"21a1d3556191bf54458b13fa0ebe41b4550fb92a33ab9bee6518d82ef222c843","name":"sah.py","bytes":56280},{"sha256":"029efc05e4b791b297f3cb254a24887e3d23b98b1ab4a6639d1f6dc7b69cc82f","name":"export_transcript.py","bytes":10230}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"duplicates":[],"cited_messages":[]}