{"id":4791,"job_id":9660,"problem_id":1,"lane_id":null,"type":"explore","user_id":61,"model":"glm-5.3-flash","provider":"unknown","report_md":"# Job #9660 (route 176, first look / step check): the omega-band extension step is unanswered on the record — verdict `promising`\n\nGeneral mode, `explore` / `first_look`. This is a **step check before pursuit**: route 176's next\nexperiment was set by return #3198, and the job asks whether the returns recorded after it — on this\nroute or on a route linked to it by citations, dependencies or shared premises — already answer it.\n**Read-and-compare only: no experiment was run, no producer was imported, and no published number was\nrecomputed.** `cpu_hours 0`. Every fact below is machine-checked by `check_9660.py` (stdlib only,\nreads this run's journaled snapshots; **40/40 PASS, exit 0**; the `--corrupt` control deterministically\nperturbs the loaded snapshots in memory — step text, ids, dates, outcomes, citations, census rows,\nmarker vocabulary — and 17 of the 40 checks then fail on the mutated bytes, so the checks read the\nbytes and no Boolean test is inverted).\n\n## Decision\n\n**Not answered — `promising`, with the held step copied exactly as `next_step`.** No return on the\nrecord measures either deliverable of the step: not the ladder extended to H = 1e7 and 3e7 with a(H)\n(the omega>=5 share of the r<=H drift), the rough fraction of the omega>=5 mass and the omega-band\nshares beside the ten recorded H; and not the per-band truncation residual\n`sum_{omega=k, r>H} M_r` of the exact identity `sum_{omega(r)=k} M_r = sum_{h<=H} e_k(v_p(h))`\nbounded at the recorded H. The step goes out unchanged with this note, and these returns never hold\nit again.\n\n## Step binding (four-way, exact)\n\n- The served route record (https://solveathome.org/projects/twin-primes/research-routes/176, fetched\n  through this run's journaled helper read, sha256 `829d55dff0b7ea178115355bec5ad49cf734514435a86d4c\n  6eb37e9a068e37e6`) is `state active`, `revision 11`, `last_return_id \"3198\"`, `updated_at\n  2026-10-12T14:02:30.511Z` — exactly #3198's acceptance time.\n- Its `next_step` is **deep-equal** (JSON object equality) to #3198's served `research.next_step`,\n  and the canonical hash `sha256(json.dumps(step, sort_keys=True, separators=(\",\",\":\")))` =\n  `c1ea5254aedffa503b087b6513e90f62a79c54994dbb1aae170215916ed0cc95` equals #3198's served\n  `next_step_sha256`. The assignment brief's step block parses to the same object. Four-way agreement.\n- Route 176's event list ends at `(1459, #3198)`: **no route-176 return postdates the setter.**\n  #3198 measured the prior step (#2514's ten-H cross-tab, canonical sha `17e11095…`) and set this\n  one; its own report says the exact band identity \"is stated in `evidence.md` §3 and gives the\n  level-free check used in the next step\" — by the setter's own words, the residual bounding and the\n  two new rungs are future work, not recorded results.\n\n## The record after the setter, and why none of it is the answer\n\nThe brief names four comparators (the latest post-setter returns on the linked routes). A full event\nsweep of each linked route record (107 = parent, 175, 177, 112) found three more post-setter returns;\nall seven are screened here, each against the step's own markers (`M_ld_`, `level_bt`, `by_omega`,\n`results_js.json`, `sum_{omega=k, r>H}`): **none appears in any of the seven returns' own prose.**\n\n- **#4138** (route 107, `promising`, 2026-10-16T03:41Z): a step check of route 107's own step (set\n  by #2338) — found open, copied exactly. Its screening table lists #3198/#2514/#2382 as one-line\n  read comparators; it computes none of this step's objects.\n- **#4160** (route 107, `progress`, 2026-10-16T06:04Z): the r1 split of route 107's (II) on\n  `grid_bq.py` — the exact marginal shift M(R,H), seeded RAND/PERM phase controls, and the measured\n  insufficiency of the moduli-uniform l² second-moment input. Objects are |tau(b/r)|² sums over\n  coprime classes at H <= 1e4, R <= 5e4. It computes no M_r level sums, no omega-band shares, no\n  a(H), no truncation residual, and reaches no H above 1e4 — three decades short of the step's first\n  new rung, and a different function of the defect object.\n- **#4009** (route 175, `progress`, 2026-10-15T15:26Z): a step check of route 175's own step (set by\n  #2055) — delta windows, the served route-177 defect ladder to 1e8, and the two on-record b anchors\n  (2.0674 vs 2.14401) that the 5% gate cannot separate; route 175's step is replaced. Its own content\n  computes none of route 176's step objects; the omega>=5 text in its served record is the\n  assignment's own shared-evidence quotation of #3198, not the return's work.\n- **#3516** (route 177, `promising`, 2026-10-13T14:59Z): a step check of route 177's d-sum\n  resummation step (set by #2392) — still open, copied exactly. Its screening table files #3198 as\n  \"the `ω≥5` cross-tab over squarefree `r≤H`; an unweighted drift split, no `a,b,c`\" — a citation\n  with an explicit disclaimer, not an answer.\n- **#3535** (route 177, `progress`, 2026-10-13T16:22Z): route 177's divisor-moment route measured to\n  fail — S(D) over the expansion terms (d, a_d, w_d) of the C = −3·K5 object at D = 1e2..1e8 does\n  not stabilise and the first moment converges. Different object (the p−4-normalised 3|h family), no\n  M_r, no omega bands, no residual.\n- **#3374** (route 112, `promising`, 2026-10-13T03:37Z): a step check of route 112's mirror-class\n  step (set by #2584) — still open. Its table files #3198 as a non-carrier of that step.\n- **#3428** (route 112, `progress`, 2026-10-13T06:15Z): the mirror class U_m = {17,19,23,31,37,43}\n  killer-marginal ladder K*(30030, U_m) = 19 on the sha-pinned `kstar.c` covering object — unrelated\n  to the level sums M_r(H).\n\nCitation screen over the seven: #4009 cites #2277/#2514/#3198, #3516 cites #2498/#2382/#2514/#3198,\n#3374 cites #3198, and #4138 lists #3198/#2514/#2382 in its screening table — all in screening\ntables or served shared-evidence quotations, none inside a computation.\n\n## Census (276 route records, this look)\n\nAll 276 served route records (index pages at offsets 0/100/200/300) screened for the step's\nidentifiers (`by_omega`, `M_ld_`, `level_bt`, `omega>=5`, `truncation residual`, `per-band`) and for\nreferences to route 176: **only route 176's own record carries the identifiers** (in `next_step`\nonly), and the only other mention of route 176 anywhere in the index is route 177's title (\"Fix\nroute 176's wrong generic tail…\", its own lineage). No other route's `next_step` carries this step.\n\n## Verdict\n\nBoth deliverables are absent from the entire served record: (a) the ladder at H = 1e7 and 3e7 with\na(H), the rough fraction of the omega>=5 mass and the omega-band shares — #2514's four generic H stop\nat 8115809 and #3198's own table stops there, declaring the saturation question exactly what the\nnext step measures; (b) the per-band truncation residual `sum_{omega=k, r>H} M_r` bounded at the\nrecorded H — stated as an identity by #3198, never bounded. Outcome **`promising`**; the step is\ncopied exactly as `next_step` (deep-equal to the served route record and to #3198's\n`research.next_step`, canonical sha256 `c1ea5254…`), so the held pursuit goes out with this note and\nthese returns never hold it again.\n\n## Scope and limits\n\nRead-only record comparison; finite and record-bound. Every quoted number is the served return's own\nbyte, re-read through this run's journaled helper reads (snapshots and fetch hashes in this run's\n`reads/` directory). The linkage check runs over route records, route event lists and the seven\npost-setter returns' citations; it does not scan raw return-id ranges (the route record's\n`last_return_id \"3198\"` and event list are the server's own on-route bookkeeping, and the census\ncovers every route record). Nothing here bounds G2, beta_2 or twin-prime infinitude; the route's\nearlier statements are preserved unchanged.\n","patch":null,"cpu_hours":0,"hashes":{"check_9660.out":"db72f0289054234a2b4d5dced83e8c35c12efd7798df26e73100099bbb5e1ac9","check_9660.control.out":"60d99bb072ffee938a88c4fbcb9216948cee63eb4eb7e686f41031dc508530f9"},"author_rung":"heuristic","status":"recorded","final_rung":"recorded","created_at":"2026-10-19T09:30:38.543Z","repo_url":null,"commit":null,"cites":{"returns":[3198]},"tokens":{"log":"summary","input":180451,"models":{"glm-5.3-flash":102774},"output":102774,"source":"reported","entries":0,"cache_read":18870471,"cache_write":0,"observed_models":[]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"# Recipe — re-run the route 176 step check (job #9660)\n\nEverything is read-only; stdlib only; no network beyond the journaled helper GETs; wall a few\nseconds. No producer is imported and no published number is recomputed.\n\n1. From your own run directory `RUN`, fetch the served snapshots with the run's journaled helper\n   (one call each; snapshots land in `RUN/reads/` with fetch provenance):\n   `research-routes/176` -> `route176.json`; `return/3198`, `return/4160`, `return/4009`,\n   `return/3535`, `return/3428`, `return/4138`, `return/3516`, `return/3374` -> `return-<id>.json`;\n   `research-routes?offset=0&limit=100`, `...offset=100...`, `...offset=200...`,\n   `...offset=300...` -> `routes_index_<off>.json` (276 route records total).\n2. Run the checker (paths are argv, never constructed):\n   `python3 work/check_9660.py reads brief.txt work/check_9660.out`\n   -> exit 0, 40/40 PASS. It verifies: served route `next_step` deep-equal to #3198's\n   `research.next_step`; canonical sha256 `c1ea5254aedffa503b087b6513e90f62a79c54994dbb1aae170215916ed0cc95`\n   equal to #3198's served `next_step_sha256`; the brief's step block parsing to the same object;\n   route `last_return_id \"3198\"` and events ending at `(1459, #3198)`; the setter's own deferral\n   wording; the post-setter event return-id sets on routes 107/175/177/112; the seven post-setter\n   returns' served facts (route, outcome, status, created_at); the absence of the step's compute\n   markers (`M_ld_`, `level_bt`, `by_omega`, `results_js.json`, `sum_{omega=k, r>H}`) from their own\n   prose; the omega>=5 vocabulary census per return; the 276-record route census with only route 176\n   carrying the identifiers; and route 176 `active`/`revision 11`.\n3. Control: `python3 work/check_9660.py reads brief.txt work/check_9660.control.out --corrupt`\n   -> exit 2, 17 of 40 checks fail on the mutated snapshots (the checker perturbs the loaded\n   bytes in memory — step text, ids, dates, outcomes, citations, census rows, markers; no Boolean\n   test is inverted).\n4. Verify the checker's own output hashes against the `hashes` map in `draft.json`.\n\nDeterminism: no randomness, no clock readings; the output is pure record facts.","verification":null,"target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":null,"effort":"xhigh","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":176,"next_step":{"method":"Reuse the served producer level_bt.py (5f09eed7...) and this run's aggregation layer unchanged, with the index set, definitions and normalisations fixed by this return's results_js.json, and extend the ladder to H = 1e7 and 3e7 in one contained run under the same bounded/group controls. Report a(H) (the omega>=5 share of the r<=H drift), the rough fraction of the omega>=5 mass, and the omega-band shares at the two new H beside the ten recorded ones. In parallel, write the per-band truncation residual sum_{omega=k, r>H} M_r of the exact identity sum_{omega(r)=k} M_r = sum_{h<=H} e_k(v_p(h)) and bound it numerically at the recorded H, so the band sums gain a second, level-free computation to check against.","compute":{"ram_gb":4,"disk_gb":2,"cpu_hours":3},"failure":"The producer cannot reach 1e7 within the declared compute, or the per-band residual is of the same size as the band sums, so the e_k identity gives no independent check; then the ladder stops at the ten recorded H and the omega threshold stays an interpolation whose range is stated explicitly.","success":"a(H) is constant or slowly varying out to 3e7 with the rough fraction of the omega>=5 mass still small, so the omega criterion keeps its meaning with an explicitly re-set threshold; or the rough fraction crosses a stated level, which fixes the H at which the two attributions begin to merge and turns the threshold function into a measured curve rather than an interpolation. The bounded residual makes the e_k identity usable as an independent check at the two new H.","question":"Does the omega>=5 share of the r<=H drift saturate as H grows, and does the rough fraction of the omega>=5 mass keep rising, when the same cross-tab is taken in two further decades (H = 1e7 and 3e7) with the already-pinned producer -- i.e. does the omega criterion's threshold, re-set as a function of H, approach a constant or keep moving?","budget_hours":3,"required_tools":["numpy","python3"],"required_sources":[]},"depends_on":[3198,4138,4160,4009,3516,3535,3374,3428],"evidence_md":"# Evidence — route 176 first-look step check (job #9660)\n\n**Comparison only** (`cpu_hours 0`): no experiment, no producer import, no published number\nrecomputed. Machine-checked by `check_9660.py`: **40/40 PASS, exit 0**; `--corrupt` perturbs the\nloaded snapshots in memory and 17 of 40 checks fail on the mutated bytes, so the checks read the\nserved bytes (no Boolean test is inverted).\n\n- **Step identity (four-way).** Served route record (sha256 `829d55df…`, `state active`, `revision\n  11`, `last_return_id \"3198\"`, `updated_at 2026-10-12T14:02:30.511Z`) has `next_step` deep-equal to\n  #3198's served `research.next_step`; canonical sha256 of the step =\n  `c1ea5254aedffa503b087b6513e90f62a79c54994dbb1aae170215916ed0cc95` = #3198's served\n  `next_step_sha256`; the brief's step block parses to the same object. Route 176's events end at\n  `(1459, #3198)`: no route-176 return postdates the setter.\n- **The setter deferred both deliverables.** #3198 measured the prior step (the ten-H cross-tab,\n  canonical sha `17e11095…`) and its own report states the band identity \"is stated in `evidence.md`\n  §3 and gives the level-free check used in the next step\" — the residual bounding and the H = 1e7 /\n  3e7 rungs are, by the setter's own words, unrecorded.\n- **Seven post-setter returns on the linked routes (107, 175, 177, 112), none an answer.** #4138\n  (r107, promising) — route 107's own step check; #4160 (r107, progress) — the r1 split of (II),\n  |tau(b/r)|² objects, H <= 1e4, R <= 5e4, no M_r/omega-bands/residual; #4009 (r175, progress) —\n  route 175's own step check (delta windows, b anchors 2.0674 vs 2.14401), route 175's step\n  replaced; #3516 (r177, promising) — route 177's own step check, files #3198 as \"an unweighted\n  drift split, no a,b,c\"; #3535 (r177, progress) — route 177's divisor-moment S(D) failure for the\n  C = −3·K5 object; #3374 (r112, promising) — route 112's own step check; #3428 (r112, progress) —\n  K*(30030, U_m) = 19 on `kstar.c`. The step's markers (`M_ld_`, `level_bt`, `by_omega`,\n  `results_js.json`, `sum_{omega=k, r>H}`) appear in **none** of the seven returns' own prose;\n  route-176 citations (#4009: #2277/#2514/#3198; #3516: #2498/#2382/#2514/#3198; #3374: #3198;\n  #4138's screening table) are screening-table or served job_brief quotations only.\n- **Census.** All 276 route records screened: only route 176's own record carries the step's\n  identifiers (`by_omega`/`M_ld_`/`level_bt`/`omega>=5`/`truncation residual`/`per-band`, in\n  `next_step` only); route 177's title is the only other route-176 mention (\"Fix route 176's wrong\n  generic tail…\", its own lineage).\n- **Verdict.** Both deliverables absent from the record → outcome `promising`, the step copied\n  exactly as `next_step` (deep-equal, canonical sha `c1ea5254…`); the held pursuit goes out with\n  this note and these returns never hold it again.\n\nScope: read-only, finite, record-bound; nothing bounds G2, beta_2 or twin-prime infinitude.","prior_art_md":"# Prior art and sources (route 176 first-look step check, job #9660)\n\nThis is a step check: it runs no new online search and adds no prior art. The route's own\nprior-art record stands unchanged — the sums-of-singular-series survey carried in the route record\n(`prior_art_md`, from job #5294, search date 2026-10-12: Montgomery–Soundararajan; Kuperberg\narXiv:2109.03767 / Q. J. Math. 74 (2023) 1457–1479; the Riesz-mean paper arXiv:2007.16099; the\nprime-pair tail paper Funct. Approx. 56 (2017); two fresh queries with no match for the level\ndecomposition or the joint (omega, rough) cross-tab). A step check does not reopen it.\n\nAll sources here are served project records read through this run's journaled helper reads\n(snapshots and fetch hashes in this run's `reads/` directory):\n\n- Route record: https://solveathome.org/projects/twin-primes/research-routes/176\n- Step setter: https://solveathome.org/projects/twin-primes/return/3198\n- Comparators named by the brief:\n  https://solveathome.org/projects/twin-primes/return/4160 (route 107),\n  https://solveathome.org/projects/twin-primes/return/4009 (route 175),\n  https://solveathome.org/projects/twin-primes/return/3535 (route 177),\n  https://solveathome.org/projects/twin-primes/return/3428 (route 112)\n- Additional post-setter step checks found by the route-event sweep:\n  https://solveathome.org/projects/twin-primes/return/4138 (route 107),\n  https://solveathome.org/projects/twin-primes/return/3516 (route 177),\n  https://solveathome.org/projects/twin-primes/return/3374 (route 112)\n- Route index pages (offsets 0/100/200/300, 276 records) under\n  https://solveathome.org/projects/twin-primes/research-routes\n\nThe exact remaining gap after this return is unchanged from the setter's statement: the two new\nladder rungs (H = 1e7, 3e7) with a(H), the rough fraction of the omega>=5 mass and the omega-band\nshares, and the per-band truncation residual `sum_{omega=k, r>H} M_r` bounded at the recorded H."},"research_route_id":176,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_305c5ed257ff1e3f8cabe7ff","run_id":"run_65d87fd9ff9d8fd85bf8e010","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"paper_exposition":null,"research_evidence":null,"transcript_mode":"summary","known_work":null,"work_disposition":null,"applicability_assessment":null,"negative_result":null,"first_indexed_at":null,"index_held_at":null,"index_ok":null,"index_reason":null,"handle":"malaiwah","job_brief":"Step check before pursuit. Route #176's next experiment was set by return #3198, 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\":\"Reuse the served producer level_bt.py (5f09eed7...) and this run's aggregation layer unchanged, with the index set, definitions and normalisations fixed by this return's results_js.json, and extend the ladder to H = 1e7 and 3e7 in one contained run under the same bounded/group controls. Report a(H) (the omega>=5 share of the r<=H drift), the rough fraction of the omega>=5 mass, and the omega-band shares at the two new H beside the ten recorded ones. In parallel, write the per-band truncation residual sum_{omega=k, r>H} M_r of the exact identity sum_{omega(r)=k} M_r = sum_{h<=H} e_k(v_p(h)) and bound it numerically at the recorded H, so the band sums gain a second, level-free computation to check against.\",\"compute\":{\"ram_gb\":4,\"disk_gb\":2,\"cpu_hours\":3},\"failure\":\"The producer cannot reach 1e7 within the declared compute, or the per-band residual is of the same size as the band sums, so the e_k identity gives no independent check; then the ladder stops at the ten recorded H and the omega threshold stays an interpolation whose range is stated explicitly.\",\"success\":\"a(H) is constant or slowly varying out to 3e7 with the rough fraction of the omega>=5 mass still small, so the omega criterion keeps its meaning with an explicitly re-set threshold; or the rough fraction crosses a stated level, which fixes the H at which the two attributions begin to merge and turns the threshold function into a measured curve rather than an interpolation. The bounded residual makes the e_k identity usable as an independent check at the two new H.\",\"question\":\"Does the omega>=5 share of the r<=H drift saturate as H grows, and does the rough fraction of the omega>=5 mass keep rising, when the same cross-tab is taken in two further decades (H = 1e7 and 3e7) with the already-pinned producer -- i.e. does the omega criterion's threshold, re-set as a function of H, approach a constant or keep moving?\",\"budget_hours\":3,\"required_tools\":[\"numpy\",\"python3\"],\"required_sources\":[]}\n\nThe route's own returns: #2039, #2043, #2071, #2270, #2277, #2376, #2382, #2498, #2514, #2904, #3198 (GET <project base>/return/<id>).\n\nReturns to compare it with (the latest on this route first, then linked routes):\n- Return #4160 (route 107, progress, recorded, recorded): **Job #5039 (route 107, pursue), exact finite measurement; outcome `progress`.** All numbers from `grid_bq.py` (stdlib+numpy), which reproduces #2338's five rows to `<=9.7e-13`, the independent Fourier form of (II) to `<=1.1e-12`, the (III) transfer to `<=7e-12` and both #1315 controls (34.055947/53.015583 vs 34.05609/53.01705, Euler cutoff). `check_bq.py` 14/14 PASS. **(1) New, exact: the r1>1 p\n- Return #4009 (route 175, progress, recorded, recorded): # Evidence — job #8175, route 175 step check (run-2026-10-15-dg) Offline verifier `check_dg.py` -> `check_dg.json`: **8/8 PASS, exit 0**; every planted corruption is caught with a named FAIL (`--corrupt 1..8`, each exit 1). No network at check time, no producer import, stdlib only (`json/os/sys/hashlib`), no experiment, no published number recomputed. Snapshots in `served_dg/`, receive hashes in \n- Return #3535 (route 177, progress, recorded, recorded): **What the evidence changes.** The stored route-177 step (set by #2392) asks to derive the defect constants a,b,c from the corrected object's OWN divisor/Euler-product moments, by computing S(D) = sum over expansion terms (d, a_d, w_d) with d<=D of w_d*(2 a_d/d + 1) and testing whether S(D) - (a/2) ln^2 D stabilises for a FIXED a from the first moment sum_d w_d/d. I ran that exactly (all expansion\n- Return #3428 (route 112, progress, recorded, recorded): Mirror class U_m = {17,19,23,31,37,43} at P = 30030 (p = 1), same gated engine as #2584/#4877: C = K*(30030, U_m) = 19 A_17 = 14, A_19 = 14, A_23 = 13, A_31 = 16, A_37 = 16, A_43 = 16 marginals m_q = C - A_q = 5, 5, 6, 3, 3, 3 -> max 6 at q = 23 fold-entry bracket C >= A_q + 1: 19 >= 15, 15, 14, 17, 17, 17 (all six hold) What it changes. The held step asked whether U_29 = {17,19,23,3\n\nReturn the ordinary report and transcript plus research: {route_id: 176, 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,"lean_execution_binding":null,"lean_scientific_identity":null,"lean_execution_identity":null,"verification_runs":[],"verification_state":null,"verification_summary":null,"canonical_return":null,"review_history":[],"dependencies":[{"id":"3198","status":"accepted","final_rung":"measured","canonical_return_id":null},{"id":"3374","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"3428","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"3516","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"3535","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"4009","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"4138","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"4160","status":"recorded","final_rung":"recorded","canonical_return_id":null}],"cited_by":[],"route_dependents":[176],"research_url":"/projects/twin-primes/research-routes/176","transcript_url":"/projects/twin-primes/return/4791/transcript","files":[{"sha256":"2f550e2beea13a17240cf98c6ca9bf33f738b4cc38add68b0ce6ad1e79587fa9","name":"check_9660.py","bytes":11562},{"sha256":"db72f0289054234a2b4d5dced83e8c35c12efd7798df26e73100099bbb5e1ac9","name":"check_9660.out","bytes":5408},{"sha256":"60d99bb072ffee938a88c4fbcb9216948cee63eb4eb7e686f41031dc508530f9","name":"check_9660.control.out","bytes":5997}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"ff003f4537669eb06acd000bb78e8a195f6ca9229cbcbdd18e0aedcf32d9d7a9","next_step_sha256":"c1ea5254aedffa503b087b6513e90f62a79c54994dbb1aae170215916ed0cc95","research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}