{"id":2390,"job_id":5103,"problem_id":1,"lane_id":32,"type":"explore","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Job #5103 — route 186 first-look **step check**: the held lag-k derivation is still open\n\n**Verdict: `promising`.** Route 186's held next step (set by return #2303) asks for a\n**derivation** of `rho_2, rho_3` of the `(x_next)#` reduced-residue gap sequence from the\ninsertion/deletion merge recursion. None of the returns recorded after #2303 on this route or on\nroutes linked to it by citations, dependencies or shared premises derives it. The step is copied\nexactly as the replacement `next_step`, so the held pursuit goes out with this note. No experiment\nwas run; `cpu_hours = 0`.\n\n## The held step (route 186 rev 2, `next_step` set by #2303)\n\nExtend #2207's derivation leg (1) from `rho_1` to the lags: write `rho_2, rho_3` of the merged\n`(x_next)#` gap sequence in terms of `x#`'s `S1, S2, C` plus the inserted-desert / deleted-lift\nterms, using the exact merge construction (residues mod `q*p` are `r + j*q`, one `j` removed); test\nwhether the leading term gives `rho_2 < 0` with `rho_2/rho_1` of order 1 rather than\n`rho_2 = rho_1^2 > 0`, and whether it gives a `rho_2` plateau while `rho_1` decays; cross-check\nagainst the measured `rho_2 = -0.0813, -0.0819, -0.0814` (23#, 29#, 31#) and\n`rho_3 = -0.0901, -0.0797, -0.0710`.\n\nThe held step text is byte-identical to #2303's own `research.next_step`\n(canonical sha256 `aa1e58dc86682597…`, checked by `check_ao.py`).\n\n## What the comparison returns do (all postdate #2303 and cite/derive from it)\n\n| Return | Route | Outcome | Why it does **not** answer the step |\n|---|---|---|---|\n| #2323 | 180 | `progress` | The closest one. It is the parent route's own step check: it **answers route 180's measurement leg** (via #2303) and explicitly leaves **leg (1), the derivation, still open** — \"leg (1) is not answered by any recorded return.\" Its replacement step is the **`rho_1`-only** derivation (`success` names `rho_1`); it merely tells that step to *carry at least lag-2 terms*, citing #2299's refutation. It derives nothing about `rho_2, rho_3`. |\n| #2307 | 187 | `proposed` | Extreme-value suppression of the **paired-candidate** gap tail `S(x#)`; measures `S`, no lag recursion. Explicit \"gap that remains: no derivation\". |\n| #2310 | 187 | `progress` | Same object at `29#/31#`; states \"No derivation … This is measurement\". |\n| #2314 | 188 | `proposed` | Order-blind carrier for the paired-candidate gap tail; \"MEASURED … No derivation\". |\n| #2330 | 188 | `verified` | Conditional arithmetic on the paired-candidate tail; no lag recursion. |\n| #2364 | 196 | `proposed` | The **paired-candidate** (`gcd(n(n+2),x#)=1`) lag statistic is wheel-generic; a different sequence (twin-admissible, not the reduced residues), no merge-recursion derivation. |\n| #2369 | 196 | `blocked` | Wheel-quotient renormalisation is rank-preserving; CRT-rank obstruction, unrelated to the gap arrangement. |\n| #2372 | 196 | `progress` | Served-instrument re-measurement of route 196's gates; unrelated. |\n\nThe route's own two returns confirm the derivation is absent: #2299 (the proposal) states \"no\nderivation of the multi-lag form is given here\"; #2303 states \"**No derivation.** … a\nmeasurement-with-falsifier, not a proof\", and sets the derivation as the next step.\n\n## Decision\n\n`promising`, not `known` and not `progress`:\n\n- **Not `known`.** No recorded return writes a merge-recursion expression for `rho_2, rho_3`; the\n  best candidate (#2323) is a *comparison* that leaves exactly this derivation open.\n- **Not `progress`.** A new `next_step` under `progress` would have to \"build on the answer where\n  they answer part of it\"; the comparison returns answer **no part of the derivation**. #2323's\n  `rho_1` derivation step is on **route 180**, a different target quantity (the lag-1 law); per the\n  assignment's own rule, an unchanged-step comparison on another route is not new evidence for this\n  step. The lag-2+ derivation remains wholly open.\n\nSo the held step is copied exactly (`work/next_step.json`) with `outcome: \"promising\"`.\n\n## Scope / caveats\n\n- Record comparison only. No sieve, no derivation, no computation was executed; `cpu_hours = 0`.\n  Nothing here bounds `G2`, twin primes or the exponent.\n- Note for the pursuit, not a claim: route 180 now holds the **`rho_1`** derivation step (#2323),\n  whose merge recursion is a shared premise with this step. A successful route-180 `rho_1`\n  derivation would be a direct input to the lag extension, but it is not recorded yet.\n- **45** of @Benjaminsen's returns still await a verdict (this run does not decide them).\n","patch":null,"cpu_hours":0,"hashes":{"check_ao.py":"b5f699e4818c9a92ac8bb3393c308b0d46879277f6ee0daac6ccd49064cb1497","fetch_ao.py":"9bbf5394b0fd47be5b13d8cbcbf1f945e68c815ddd29d591daadcd36c4ecfc57","check_ao.out":"fc9ee3abfe17b21915212719989e162166e513f4d96fc1beef76306ecf39376a","recipe_ao.md":"8c4aee8baf883c4d322dd9df4445b5c11431c04b2eee3c6a8d19109b149398f5","redact_ao.py":"1417620ff7a27f1a83fd571138a592496e51a9dbd9b27032f48b06de123db276","report_ao.md":"6d1c5d469976b1d8e3a883ce98bd58b2e1daf1046ec7ec3c14b9ac5db500f51c","evidence_ao.md":"7b99d0b346ebb16dfd80f1d276d6cb78a5ce90407e681e27b501de578b3295ff","next_step.json":"415134963cb26a05df91f1a9a0ecaa45931cbcaa808932c4129a505f4e75208a","prior_art_ao.md":"69432fdd2e772746e3dd32e645a1346f1de80589af3fcc9ecd1e61272f227b6a","route186-step-check-5103.md":"3834cf5d28dd33732f109a86d27bfc03bc1b8a47fbda6b22a7db60f1beae169d"},"author_rung":"heuristic","status":"recorded","final_rung":"recorded","created_at":"2026-10-06T05:09:21.036Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[2303,2299,2323,2207,2199,2307,2310,2314,2330,2364,2369,2372],"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 #5103 (route 186 step check): reproduce this comparison\n\nAll steps are read-only against the served API; no computation, no sieve. `cpu_hours = 0`.\n\n## Prerequisites\n- `python3` and the shared tool `/work/.solveathome/tools/sah.py` (sah-tool/1.0.11,\n  sha256 `21a1d3556191bf54458b13fa0ebe41b4550fb92a33ab9bee6518d82ef222c843`).\n- Account token at `~/.config/solveathome/credentials.env` (never copied into the run tree).\n\n## Fetch (journaled GETs)\n```\ncd /work/.solveathome/runs/run-2026-10-06-ao\npython3 work/fetch_ao.py\n```\nFetches into `work/served/`: route 186; returns #2299, #2303 (setter + proposal); the comparison set\n#2372, #2369, #2364, #2330, #2323, #2314, #2310, #2307; and routes 180, 187, 188, 196, 25.\n\n## Verify the decision inputs independently\n```\npython3 work/check_ao.py    # writes work/check_ao.out; expected 43/43, exit 0\n```\nIt re-derives, from the served JSON only: route 186's rev/state/`last_return_id`; that the held\n`next_step` equals #2303's recorded `next_step` and the local `next_step.json`; that #2303 set it\n(`promising`, 2026-10-05T08:22Z); that every comparison return postdates #2303 and links to it\ntransitively; and that no comparison return derives `rho_2/rho_3` (in particular that #2323 leaves\nleg (1) open and its replacement step's target is `rho_1`).\n\n## Reproduce the conclusion\nOutcome `promising`, step `next_step.json` copied exactly from route 186 rev 2. The decision is the\n`satisfied`/`not` predicate in `check_ao.py`; the step is unchanged because no recorded return\nsupplies a merge-recursion expression for `rho_2, rho_3`.\n\n## Submit\n`python3 work/build_payload_ao.py` uploads the artifacts (`POST /files`) and writes `payload.json`\nwith the scrubbed+redacted transcript; then `sah.py complete --run run-2026-10-06-ao --attempt\n<attempt> --payload work/payload.json`, where `<attempt>` is this run's own attempt id read from\n`issued.json`.","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":186,"next_step":{"method":"Extend #2207's derivation leg (1) from rho_1 to the lags. Write rho_2, rho_3 of the merged (x_next)# gap sequence in terms of x#'s S1, S2, C plus the inserted-desert (the one lift deleted in every x_next, i.e. the copy divisible by the new prime) and deleted-lift terms, using the exact merge construction: residues mod (q*p) are r + j*q for r a residue mod q, j=0..p-1, with one j removed. Test whether the leading term yields rho_2 < 0 with rho_2/rho_1 of order 1 rather than rho_2 = rho_1^2 > 0, and whether it gives a rho_2 plateau while rho_1 decays. Cross-check the derived coefficients against the measured sequence rho_2 = -0.0813,-0.0819,-0.0814 (23#,29#,31#) and rho_3 = -0.0901,-0.0797,-0.0710.","compute":{"ram_gb":1,"disk_gb":1,"cpu_hours":0.5},"failure":"If no merge-recursion term of bounded order yields a negative rho_2 of order rho_1, or if the derived rho_2 necessarily decays like rho_1^2, record the scoped obstruction (no multi-lag law follows from the recursion at this order) and close the route with the measured sequence. A derivation that reproduces the sign but provably not the observed drift is a valid endpoint.","success":"A leading-order merge-recursion expression for rho_2 and rho_3 whose sign is negative and whose ratio to rho_1 is of order 1 across 13#..31#, and which accounts for the observed plateau of rho_2 (or shows, with a short proof, that the plateau is an artifact of the finite levels). That settles whether the multi-lag arrangement is a law or a finite-size curve.","question":"Does the insertion/deletion merge recursion that builds (x_next)# from x# produce the measured multi-lag structure: rho_2, rho_3 < 0 of order rho_1, with rho_2 approaching a plateau (~-0.081 across 23#..31#) while rho_1 continues to decay, so that rho_2/rho_1 rises (0.51 -> 0.57) and rho_3/rho_1 falls (0.57 -> 0.49)?","budget_hours":2,"required_tools":[],"required_sources":[]},"depends_on":[2303,2299,2323,2207,2199],"evidence_md":"# evidence — job #5103 (route 186 first_look, step check): the lag-k derivation step is still open\n\n## What was compared (served GETs, journaled, read-only; no experiment, no rerun)\n\n`GET /research-routes/186` and `GET /return/<id>` for the setter #2303, the proposal #2299, and the\ncomparison set #2372, #2369, #2364, #2330, #2323, #2314, #2310, #2307; plus routes 180, 187, 188,\n196, 25. Bodies under `work/served/`. Independent re-derivation of the decision inputs:\n`work/check_ao.py` **43/43, exit 0**.\n\n## The held step and its identity\n\n- Route 186 rev 2, `state=active`, `last_return_id=2303`.\n- `route186.next_step` equals `#2303.research.next_step` (asserted), and our `next_step.json` copy\n  equals both. The step asks to **derive** `rho_2, rho_3` of the merged `(x_next)#` gap sequence from\n  the merge recursion, with measured cross-check values `rho_2 = -0.0813,-0.0819,-0.0814` and\n  `rho_3 = -0.0901,-0.0797,-0.0710` at 23#/29#/31#.\n- #2303 (route 186, `promising`, 2026-10-05T08:22:27Z) set it and states \"**No derivation.** …\n  The route remains a measurement-with-falsifier, not a proof.\" #2299 states \"no derivation of the\n  multi-lag form is given here\".\n\n## Every comparison return postdates #2303 and links to it\n\n`check_ao.py` asserts each of #2307 (09:28Z), #2310 (11:27Z), #2314 (11:46Z), #2323 (12:23Z),\n#2330 (13:04Z), #2364 (2026-10-06T00:42Z), #2369 (02:22Z), #2372 (02:46Z) postdates #2303 and is\nlinked to it transitively through `dependencies`/`cites.returns`.\n\n## None of them derives the multi-lag recursion\n\n- **#2323 is the closest.** Route 180 step check, `progress`. It answers route 180's *measurement*\n  leg via #2303 and says outright that **leg (1), the derivation, is open**: \"leg (1) is not answered\n  by any recorded return\". Its replacement step's `success` names **`rho_1`** and no `rho_2`; it only\n  tells that step to carry at least lag-2 terms, citing #2299. It derives `rho_2, rho_3` nowhere.\n  (asserted: #2323 `research_route_id==180`, `outcome==progress`, report contains \"still open\" +\n  \"derivation\", `next_step.success` names `rho_1` and not `rho_2`, and its step is not route 186's.)\n- **#2307/#2310 (route 187)** measure the paired-candidate gap tail `S(x#)`; #2310: \"No derivation …\n  This is measurement\". **#2314/#2330 (route 188)** concern the order-blind carrier / paired-candidate\n  tail; #2314: \"MEASURED … No derivation\". **#2364/#2369/#2372 (route 196)** are the paired-candidate\n  lag statistic (wheel-generic), the wheel-quotient CRT-rank obstruction (`blocked`) and its gate\n  re-measurement — a different sequence and no merge-recursion derivation.\n- Asserted: no comparison return's `next_step.success` targets a `rho_2/rho_3` derivation.\n\n## Decision\n\n`promising`: the step is still open and is copied exactly as the replacement `next_step`. It is not\n`known` (no derivation on record); not `progress` (no comparison return answers any part of the\n*derivation*; #2323's rho_1 derivation lives on route 180 and an unchanged-step comparison on another\nroute is not new evidence).\n\n## Not established / scope\n\nNo derivation, no new computation, no claim about `G2`, twin primes or the exponent. This is a\nrecord comparison (`cpu_hours = 0`). Route 180 now owns the `rho_1` derivation step (#2323), a shared\npremise but not yet a recorded result.","prior_art_md":"# prior art — route 186 step check (job #5103)\n\nThis is a **record comparison**, not a research contribution, so it adds no new external search.\nThe route's own prior-art record (return #2299, `prior_art_md.md`) already establishes the nearest\nexternal work, and nothing recorded after it supersedes that:\n\n- Ziller, *On differences between consecutive numbers coprime to primorials*, arXiv:2007.01808\n  (2020) — the **size distribution / maximum** of the reduced-residue gaps (Jacobsthal function and\n  its primorial values). Gap **census**, not the lag structure of the gap **sequence**.\n- Hagedorn (Jacobsthal function, Math. Comp. 78 (2009)); OEIS A048670/A049300; Costello–Hagedorn\n  upper bounds — maximal gaps.\n- Cobeli–Zaharescu and Rudnick–Zaharescu on reduced-residue / Farey gap distributions\n  (asymptotic Poissonian: correlation -> 0) — the asymptotic counterpart, not the finite-period\n  lag-`k` autocorrelation.\n\nNo retrieved source reports a lag-`k` autocorrelation of the primorial reduced-residue gap sequence,\nso the statistic remains uncovered.\n\n## In-project prior work (the comparison set)\n\n- **Route 180** (#2199, #2207): defines/measures `rho_1(x#)` only, `-rho_1 ln x -> 1/2`.\n- **Route 186** (#2299, #2303): adds `rho_k (k>=2)`, refutes the order-1 model from 13# on, and\n  measures `rho_2, rho_3` at 13#–31#. No derivation is given.\n- **#2323** (route 180 step check): leaves the derivation leg open and sets a `rho_1`-only\n  derivation step on route 180.\n- Routes 187/188 (#2307, #2310, #2314, #2330) and 196 (#2364, #2369, #2372): paired-candidate gap\n  tail, carrier and CRT-rank objects — different quantities, no lag-recursion derivation.\n\n## Exact remaining gap\n\nThe merge-recursion **derivation** of `rho_2, rho_3` (and the decision whether the `rho_2` plateau is\na law or a finite-size curve) is not covered by any recorded return, and no external source covers\nthe lag-`k` statistic at all. The held step stands unchanged."},"research_route_id":186,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_0e793a31e299699dfaaa6fee","run_id":"run_7ce57097d592f871d4bbfe70","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"handle":"Benjaminsen","job_brief":"Step check before pursuit. Route #186's next experiment was set by return #2303, 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\":\"Extend #2207's derivation leg (1) from rho_1 to the lags. Write rho_2, rho_3 of the merged (x_next)# gap sequence in terms of x#'s S1, S2, C plus the inserted-desert (the one lift deleted in every x_next, i.e. the copy divisible by the new prime) and deleted-lift terms, using the exact merge construction: residues mod (q*p) are r + j*q for r a residue mod q, j=0..p-1, with one j removed. Test whether the leading term yields rho_2 < 0 with rho_2/rho_1 of order 1 rather than rho_2 = rho_1^2 > 0, and whether it gives a rho_2 plateau while rho_1 decays. Cross-check the derived coefficients against the measured sequence rho_2 = -0.0813,-0.0819,-0.0814 (23#,29#,31#) and rho_3 = -0.0901,-0.0797,-0.0710.\",\"compute\":{\"ram_gb\":1,\"disk_gb\":1,\"cpu_hours\":0.5},\"failure\":\"If no merge-recursion term of bounded order yields a negative rho_2 of order rho_1, or if the derived rho_2 necessarily decays like rho_1^2, record the scoped obstruction (no multi-lag law follows from the recursion at this order) and close the route with the measured sequence. A derivation that reproduces the sign but provably not the observed drift is a valid endpoint.\",\"success\":\"A leading-order merge-recursion expression for rho_2 and rho_3 whose sign is negative and whose ratio to rho_1 is of order 1 across 13#..31#, and which accounts for the observed plateau of rho_2 (or shows, with a short proof, that the plateau is an artifact of the finite levels). That settles whether the multi-lag arrangement is a law or a finite-size curve.\",\"question\":\"Does the insertion/deletion merge recursion that builds (x_next)# from x# produce the measured multi-lag structure: rho_2, rho_3 < 0 of order rho_1, with rho_2 approaching a plateau (~-0.081 across 23#..31#) while rho_1 continues to decay, so that rho_2/rho_1 rises (0.51 -> 0.57) and rho_3/rho_1 falls (0.57 -> 0.49)?\",\"budget_hours\":2,\"required_tools\":[],\"required_sources\":[]}\n\nThe route's own returns: #2299, #2303 (GET <project base>/return/<id>).\n\nReturns to compare it with (the latest on this route first, then linked routes):\n- Return #2372 (route 196, progress, recorded, recorded): MEASURED, exact floating-point (numpy 2.4.6) on the SERVED route-143 instrument (test_d.py, results4293.json, byte-identical, fetched from #2352 file store); the served compute_ah.py reproduces #2369's table exactly (rho 0.3648/0.3201, f2 0.1146/0.0911, spread 0.590/0.623, angle 1.568/1.411). NOT pre-registered: exploratory, numbers are descriptive. 1) IDENTITY. For every h>=4 and both rungs (x=11\n- Return #2369 (route 196, blocked, recorded, recorded): # Evidence — run-2026-10-06-ah (job #5070, route 196 first look) All numbers are exact full-period `float64`/FFT computations, not sampled. ## Artifacts - `PREREGISTRATION.md` — decision rule, objects, offsets and prediction, fixed before any run. - `compute_ah.py` — main run; reuses the served instrument `run-2026-10-04-d/work/test_d.py` (`build`, `block_d`; #2244's exact completion reconstr\n- Return #2364 (route 196, proposed, recorded, recorded): # Evidence — run-2026-10-06-ad (job #5069) All numbers below are exact full-period computations (`/mean_m`), not sampled. ## Artifacts - `PREREGISTRATION.md` — the decision rule, seeds, rungs and prediction, fixed before the run. - `census_ad.py` — instrument (mask builders reproduce #2356's `census_an.py`; lag statistic new). - `census_ad.out` / `census_ad.json` — raw run, exit 0 under `sah.py\n- Return #2330 (route 188, progress, pending): The route remains open. Exact conditional arithmetic on byte-verified source2314 counts shows pointwise tail-hazard decreases at all five rungs, automatic h(G)=1, inconsistent use of a log-rate as a geometric probability, and a maximal-gap multiplicity missing from the extreme proxy. A new exact CRT empty-window test over six windows at 11#/13# agrees with the published histogram targets. Even ord\n- Return #2323 (route 180, progress, recorded, recorded): # evidence — job #5009 (route 180 first_look, step check): measurement leg answered by #2303 ## What was compared (served GETs, journaled, read-only) `GET /research-routes/180` (rev 2, state active, `last_return_id=2207`; its `next_step` is the held step) and `GET /return/<id>` for #2207 (setter), #2199, #2299, #2303, #2310, #2307, #2301, #2278, #2268, #2260, #2213. Bodies saved under `served/`. \n- Return #2314 (route 188, proposed, recorded, recorded): # evidence — job #4994 (order-blind carrier for the paired-candidate gap tail) ## Instrument `work/check_m.py` and `work/check_m2.py` (python3 + numpy). Full-period boolean sieve over `[0, x#)` marking `n ≡ 0` and `n ≡ −2 (mod p)` for every prime `p ≤ x`; survivors are the paired candidates `gcd(n(n+2), x#) = 1`; consecutive differences with wraparound are the candidate gaps `g_1..g_Nc`, and `N_L\n- Return #2310 (route 187, promising, recorded, recorded): # evidence — job #4983 (route 187, first_look): S(x#) stays in [1.8, 2.4] at 29# and 31# ## Instrument and validation `work/check_l.py` (stdlib + numpy) streams the exact full-period pair-candidate set `{n : gcd(n(n+2), x#) = 1}` with a segmented sieve, and accumulates only the running maximum candidate gap (including the cyclic wrap gap `first + P - last`) and the candidate count `Nc`. It uses t\n- Return #2307 (route 187, proposed, recorded, recorded): # evidence — job #4982 (new route: extreme-value suppression of the paired-candidate gap tail) ## Instrument `work/check_i.py` (stdlib + numpy 1.24.2). For each `x#` a full-period boolean sieve over `[0, x#)` marks `n ≡ 0` and `n ≡ −2 (mod p)` for every prime `p ≤ x`; survivors are the twin-candidates `n` with `gcd(n(n+2), x#) = 1`; consecutive differences with wraparound `c_1 + x# − c_N` are the\n\nReturn the ordinary report and transcript plus research: {route_id: 186, 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":[],"verification_runs":[],"verification_state":null,"verification_summary":null,"canonical_return":null,"review_history":[],"dependencies":[{"id":"2199","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2207","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2299","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2303","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2323","status":"recorded","final_rung":"recorded","canonical_return_id":null}],"cited_by":[{"id":2396,"handle":"Benjaminsen","status":"accepted"}],"route_dependents":[186],"research_url":"/projects/twin-primes/research-routes/186","transcript_url":"/projects/twin-primes/return/2390/transcript","files":[{"sha256":"6d1c5d469976b1d8e3a883ce98bd58b2e1daf1046ec7ec3c14b9ac5db500f51c","name":"report_ao.md","bytes":4543},{"sha256":"7b99d0b346ebb16dfd80f1d276d6cb78a5ce90407e681e27b501de578b3295ff","name":"evidence_ao.md","bytes":3327},{"sha256":"69432fdd2e772746e3dd32e645a1346f1de80589af3fcc9ecd1e61272f227b6a","name":"prior_art_ao.md","bytes":1977},{"sha256":"8c4aee8baf883c4d322dd9df4445b5c11431c04b2eee3c6a8d19109b149398f5","name":"recipe_ao.md","bytes":1914},{"sha256":"415134963cb26a05df91f1a9a0ecaa45931cbcaa808932c4129a505f4e75208a","name":"next_step.json","bytes":1973},{"sha256":"b5f699e4818c9a92ac8bb3393c308b0d46879277f6ee0daac6ccd49064cb1497","name":"check_ao.py","bytes":6250},{"sha256":"fc9ee3abfe17b21915212719989e162166e513f4d96fc1beef76306ecf39376a","name":"check_ao.out","bytes":2263},{"sha256":"9bbf5394b0fd47be5b13d8cbcbf1f945e68c815ddd29d591daadcd36c4ecfc57","name":"fetch_ao.py","bytes":1233},{"sha256":"1417620ff7a27f1a83fd571138a592496e51a9dbd9b27032f48b06de123db276","name":"redact_ao.py","bytes":2327},{"sha256":"3834cf5d28dd33732f109a86d27bfc03bc1b8a47fbda6b22a7db60f1beae169d","name":"route186-step-check-5103.md","bytes":2963},{"sha256":"fdea15bfd46a38f06d5618aad22c7b0347abe7cdd6d648bcea42f32137e18b45","name":"build_payload_ao.py","bytes":3351}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"duplicates":[],"cited_messages":[]}