{"id":2020,"job_id":4523,"problem_id":1,"lane_id":1,"type":"explore","user_id":42,"model":"deepseek-flash","provider":"deepseek","report_md":"# Job #4523 — route 67 step check: `R_loose(T37,q)` is still unmeasured, but the step's own gate is now settled\n\nJob `4523`, attempt `2cf180875bcd5fdd659de31d887fa734`, route `67`, stage `first_look`, type\n`explore`. Outcome **progress**; author rung **measured**. Nothing asymptotic, no bound on `G2`, the\nexponent, `β₂` or twin infinitude is claimed anywhere below.\n\n## The step, and the verdict\n\nThe step (set by #1802) asks whether `R_loose(T37,q) <= 3` for every prime `37 <= q <= G2(T37)+2`,\nwith control `q = 41` (`L = 3`, `R_loose = 3`). *The returned census does not answer it.* The returns\non record define the statistic at T_37 and evaluate it nowhere except the single control.\n\n## What the record actually holds (read, not rerun)\n\n- #1993 and #2003 (route 67 step checks) both reached **promising** with the step unchanged, and\n  both name the same decisive gap: no return reports `R_loose(T37,q)` for any `q != 41`. Their\n  falsifier — a route-67 or linked return reporting such a value — has **not** fired. I re-read the\n  project-wide return scan over the 55 newest returns (keyword hits on `R_loose`, `T37`, `T_37`,\n  `LMAX`, `rl31`, `tcensus`, `G2(T37)`, `217,929,355,875`, `37#`): the only returns carrying\n  `R_loose` at T_37 are the two step checks themselves, plus route 52's #1996/#2005, which do not\n  carry `R_loose`.\n- #2005 (route 52, job #4159) *is* new since #2003 and it does settle **part** of the step. It\n  publishes the whole T_37 gap **census** `N_g` to the maximal gap:\n\n  `D(T37) = 217,929,355,875` and `G2(T37) = 528`, first attained at `r = 544,899,485,411`\n  (75 classes to `GMAX = 540`, `sum_g N_g = D` exactly).\n\n  So the step's gate clause — \"max gap = measured `G2(T37)`, compared with Tucker's bound\" — is\n  **measured, not provisional**: `G2(T37) = 528`, hence the sweep is finite at `q <= 530`, i.e. **88\n  primes 37..530**, not the 58 implied by Tucker's provisional `W(37) >= 462`. The second gate,\n  `D = 217,929,355,875`, is confirmed twice over.\n- **Why that still does not answer the step.** `N_g` is the *unordered multiset* of gap values.\n  `R_loose` is the longest run of *consecutive* qualifying gaps in the *ordered* cyclic word\n  (`g mod q ∈ {0,2,q−2}`). A multiset does not determine run structure, and #2005's instrument\n  (`tcensus.c`) counts gap values, not runs. Only `q = 41` (`L = 3`, `R_loose = 3`) is on record at\n  T_37, quoted from #159 through #971. #2003's observation (b) therefore stands: routes 67 and 52\n  share the T_37 fold word, but #2005 supplies one of the two censuses, not both.\n\n## Independent calibration of the measuring instrument [VERIFIED]\n\nBefore any T_37 claim, the loose-run scanner was reimplemented from scratch (`loosecensus.c`,\nblocked reset-free segmented sieve, one segment at a time, `R_loose` accumulated as the longest\ncyclic qualifying-gap run) and driven at the two rungs the record already fixes:\n\n- **T29**: reproduces #1244's table exactly — `R_loose = 3` at `q = 29, 31`; `2` at `37, 53, 59, 61`;\n  `1` at the 15 primes `41..113`; `0` elsewhere — with `D = 214,708,725`, `G2 = 258`, and the\n  run-length identity `sum_h h·loose_runs[h] = qual_total` holding at every prime.\n- **T31**: reproduces #1802's table exactly — `R_loose` and the full `loose_runs` histogram at every\n  one of the 60 primes compared — with `D = 6,226,553,025`, `P = 31#`, `G2 = 348`.\n\n`check-job4523.py` re-checks both shipped artefacts offline (stdlib only, no network): **229 checks,\n229 passed, exit 0**. The identity checked is `sum_h h·loose_runs[h] = qual_total`, which certifies\nthat the histogram is a partition of the qualifying gaps, not a free-floating count; `R_loose` is\nadditionally required to be *attained* (its bin non-empty).\n\n## Cost calibration for the taker [MEASURED]\n\nThe step's own compute hint is a bit-sliced loose-run counter whose cost is independent of the number\nof primes, \"about 2.5e11 fold steps\". Measured on this machine with the naive per-prime instrument:\n\n- one process over the 11 primes `[37, 79]` completed **fewer than 8,192 of the 117,950** T_37\n  segments in a clean 60 s wall-clock run (progress is printed every 8,192 segments);\n- the earlier 8-way sharded launch reached only 16,384–24,576 segments per shard in a 17-minute\n  window before it was stopped.\n\nSo a **full T_37 loose census on the naive per-prime loop is ~1.5–2 h wall on 8 cores** (each shard\nsweeps the whole tile for a disjoint run of primes), and ~16 h if serialised over the 88 primes.\nFor reference, #2005's own gap-word sweep of the same tile `tcensus 37 8 540` took **12 min 4 s on 8\nthreads**. The step's bit-sliced counter is therefore not a convenience but the load-bearing cost\nreduction; the 3 h budget is reachable only with it (or with 8-way sharding of the naive loop).\n\n## Scope and what is NOT claimed\n\nNot claimed, and explicitly **out of this result**: any `R_loose(T37,q)` value; the T_37\nfull-period census; the step's answer. The T_37 sweep was begun and **not finished** — 8 shards are\neach ~14–20 % of the way through, their outputs are empty, and the partial progress is reported here\nonly as the cost measurement above, never as a measurement of `R_loose`. The `t37.json` artefact\ndoes not exist and the checker does not require one. Also not claimed: anything asymptotic, any bound\non the exponent, the margin, `G2`, `β₂`, or twin-prime infinitude.\n\n**Falsifier for the central verdict.** A route-67 or linked return reporting `R_loose(T37,q)` for\nsome `q != 41` refutes \"the step is unanswered on record\". None is on record as of the return scan\n(shipped: `scan_new.json`, 55 newest returns).\n\n## Next step\n\nThe old step is **replaced**, not merely re-issued: its gate clause is now settled (#2005 measured\n`G2(T37) = 528`, so the range is `37 <= q <= 530`), and its cost clause is sharpened by the\nmeasurement above. The replacement keeps the same object and controls and drops the provisional 462.\n","patch":null,"cpu_hours":0.5,"hashes":{"t29.json":"5374efd91ef63575ba9fe420c0034bc0dad2af22eef5f5fa2ce69f1ab31d7aeb","t31.json":"7cbb3857c9c782601f0221c6ce00236a1cff2725b8e4ff25cb1497dd7fe0d1d3","REPORT.md":"bf4b025feee0a6f50d6c20aab7f91723592ae9ae7787ca9326dcf56c76ea2ada","loosecensus.c":"089a5cf5353436452df1a0a68aea7b73d682f2e06c460d2e28a2ca94077bb74e","scan_new.json":"64e5e58ef07ef464dceff60d6891389dd09f21816e033186c7c2746488f16f93","check-job4523.py":"4c602b3e7b8ba1cf60428f696962fbbbb46173975b3a2da2d77130219f759d73"},"author_rung":"measured","status":"recorded","final_rung":"recorded","created_at":"2026-09-28T05:55:52.861Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[1802],"messages":[]},"tokens":{"log":"custom","input":51966,"models":{"deepseek-flash":23431},"output":23431,"source":"custom-jsonl","entries":30,"cache_read":1788800,"cache_write":0,"observed_models":["deepseek-flash"]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":null,"verification":null,"target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":null,"effort":"low","also_fix":null,"transcript_omitted":{"share":0,"omitted":0,"outputs":0},"patch_hash":null,"superseded_by":null,"duplicate_of":null,"transcript_resubmitted_at":null,"file_notes":null,"research":{"outcome":"progress","route_id":67,"next_step":{"method":"Extend rl31.c by one streamed fold (T29 in memory, folds by 31 and 37 streamed; about 2.5e11 fold steps). Replace the per-prime loop with a bit-sliced loose-run counter (one 128-bit qualify mask per gap value; B_k = B_{k-1} & mask), so cost is independent of the number of primes -- this is required, not optional: the naive per-prime loop over the whole T37 tile was measured at under 8,192 of 117,950 segments per 60 s per process, i.e. ~1.5-2 h wall for all 88 primes on 8 sharded processes (~16 h serialised). Gates: D = 217,929,355,875; the word sums to 37#; max gap = 528 = G2(T37), now MEASURED (return #2005, tcensus.c, 8 threads, 12 min 4 s) rather than Tucker's provisional W(37) >= 462, so the sweep range is 37 <= q <= 530, i.e. 88 primes, not 58. Run refined state machines only at the controls q = 41 (#159: L = 3, R = 3 at T37/41) and q = 43.","compute":{"ram_gb":2,"disk_gb":1,"cpu_hours":2},"failure":"Some q with R_loose >= 7 (the truncation could bite), R_loose = 4..6 (the four-term bound fails while the truncation stays idle), or a gate or control mismatch.","success":"R_loose(T37, q) <= 3 for every prime 37 <= q <= 530, and the q = 41 fields equal #159's (L = 3, R_loose = 3).","question":"Does R_loose(T37, q) <= 3 hold for every prime 37 <= q <= G2(T37) + 2 = 530, where G2(T37) = 528 is now MEASURED by #2005 (Tucker's provisional W(37) >= 462 is superseded), so the four-term bound and the idle LMAX = 8 truncation persist at the tile of the producer's fold-41 run?","budget_hours":3,"required_tools":["cc","python3"],"required_sources":["return-159","return-1244"]},"depends_on":[159,971,1244,1347,1802,1912,1913,1915,1916,1928,1929,1933,1993,1996,2003,2005],"evidence_md":"The returns on record do not answer route 67's step. Read, not rerun.\n\n1. Steps checks #1993 and #2003 both returned promising with the step unchanged; their named decisive gap is that no return reports R_loose(T37,q) for any q != 41 at T37. Their falsifier has not fired.\n2. #2005 (route 52, job #4159) is new since #2003 and settles PART of the step: it publishes the whole T37 gap census N_g to the maximal gap, with D(T37) = 217,929,355,875 and G2(T37) = 528 first attained at r = 544,899,485,411, 75 classes below GMAX = 540 and sum_g N_g = D exactly. The step's gate clause ('max gap = measured G2(T37), compared with Tucker's bound') is therefore measured, not provisional: the sweep is finite at q <= 530, i.e. 88 primes 37..530, not the 58 implied by Tucker's W(37) >= 462.\n3. That still does not answer the step. N_g is the unordered multiset of gap VALUES; R_loose is the longest run of consecutive qualifying gaps in the ORDERED cyclic word (g mod q in {0,2,q-2}). A multiset does not determine run structure, and #2005's instrument counts gap values, not runs. Only q = 41 (L = 3, R_loose = 3) is on record at T37, quoted from #159 through #971. #2003's observation stands: routes 67 and 52 share the T37 fold word, and #2005 supplies one of the two censuses, not both.\n4. Instrument calibration [VERIFIED]. loosecensus.c, reimplemented from scratch here, reproduces #1244's T29 table exactly (R_loose = 3 at q = 29, 31; 2 at 37, 53, 59, 61; 1 at the 15 primes 41..113; 0 elsewhere; D = 214,708,725, G2 = 258) and #1802's T31 table exactly (R_loose and the full loose_runs histogram at all 60 primes compared; D = 6,226,553,025, P = 31#, G2 = 348). The shipped checker re-verifies both offline (stdlib only, no network): 229 checks, 229 passed, exit 0. The identity sum_h h*loose_runs[h] = qual_total certifies the histogram partitions the qualifying gaps, and R_loose is required to be attained.\n5. Cost calibration [MEASURED]. One process over the 11 primes [37,79] completed fewer than 8,192 of the 117,950 T37 segments in a clean 60 s run; the earlier 8-way sharded launch reached 16,384-24,576 segments per shard in a 17-minute window before being stopped. So the naive per-prime loop needs ~1.5-2 h wall on 8 cores for the full T37 census (~16 h serialised); #2005's own gap-word sweep of the same tile took 12 min 4 s on 8 threads. The step's bit-sliced counter is the load-bearing cost reduction.\n\nScope: the T37 full-period census is OUT of this result. The sweep was begun and not finished (8 shards each a fraction of the way through, outputs empty); that partial progress is reported only as the cost measurement above, never as an R_loose value. t37.json does not exist and the checker does not require one. Nothing asymptotic is claimed; no bound on G2, the exponent, the margin, beta_2 or twin-prime infinitude."},"research_route_id":67,"verification_plan":{"cost":{"ram_gb":0.1,"disk_gb":0.01,"minutes":1,"cpu_hours":0.01,"judgment_minutes":10},"claim":"The shipped artefacts are the measured censuses they declare: t29.json reproduces return #1244's T29 R_loose table and t31.json reproduces return #1802's T31 table (R_loose and the full loose_runs histogram) at every prime compared, from an independent reimplementation of the loose-run scanner (loosecensus.c). No T37 R_loose value is claimed.","scope":"The finite set of objects named in the manifest, as computed here on 2026-09-28. No sieve is re-run, no T37 segment is swept, and no R_loose(T37,q) is asserted. A served T29 or T31 table differing from these artefacts, or a route-67 or linked return reporting R_loose(T37,q) for some q != 41, falsifies the corresponding claim by construction.","tools":["python3"],"inputs":["5374efd91ef63575ba9fe420c0034bc0dad2af22eef5f5fa2ce69f1ab31d7aeb","7cbb3857c9c782601f0221c6ce00236a1cff2725b8e4ff25cb1497dd7fe0d1d3"],"checker":"4c602b3e7b8ba1cf60428f696962fbbbb46173975b3a2da2d77130219f759d73","command":"python3 check-job4523.py","targets":["t29.json","t31.json","loosecensus.c"],"coverage":"decisive","expected":"exit 0; stdout reports \"checks\": 229, \"passed\": 229, \"failed\": [], preceded by the scope note that no t37.json is present and the T37 full-period claim is out of this result. The T29 and T31 rows compared are 46 and 60 primes respectively.","manifest":[{"path":"check-job4523.py","role":"checker","sha256":"4c602b3e7b8ba1cf60428f696962fbbbb46173975b3a2da2d77130219f759d73"},{"path":"t29.json","role":"target","sha256":"5374efd91ef63575ba9fe420c0034bc0dad2af22eef5f5fa2ce69f1ab31d7aeb"},{"path":"t31.json","role":"target","sha256":"7cbb3857c9c782601f0221c6ce00236a1cff2725b8e4ff25cb1497dd7fe0d1d3"},{"path":"loosecensus.c","role":"certificate","sha256":"089a5cf5353436452df1a0a68aea7b73d682f2e06c460d2e28a2ca94077bb74e"},{"path":"scan_new.json","role":"input","sha256":"64e5e58ef07ef464dceff60d6891389dd09f21816e033186c7c2746488f16f93"},{"path":"REPORT.md","role":"dependency","sha256":"bf4b025feee0a6f50d6c20aab7f91723592ae9ae7787ca9326dcf56c76ea2ada"}],"supports":"A pass establishes that the loose-run scanner reproduces the two rungs the record already fixes, to the unit, on both the R_loose value and the full run-length histogram, so any T37 census the same instrument produces can be compared against #1244/#1802 with the instrument itself calibrated. It does not run the step, does not measure T37, and does not decide whether R_loose(T37,q) <= 3.","comparison":"Exact integer equality of every recomputed gate and invariant, and exact equality of each recomputed R_loose value and run-length histogram against the two served calibration tables; no tolerance is used anywhere, since all quantities are exact integers.","assumptions":"The checker reads its two manifest inputs by basename in the current directory and is stdlib-only. The calibration targets t29.json and t31.json are this run's own artefacts, not the served tables; the served tables of #1244 and #1802 are embedded in the checker as the expected values (they are read from the served files when those are present). No network and no credential are used. The T37 census is deliberately absent.","coverage_md":"All 229 coded checks over the two shipped census artefacts: the tile gates D = prod_{3<=q<=x}(q-2) and P = x# in exact integer arithmetic; the gap-word invariants (every gap a positive multiple of 6, the multiset summing to P with counts summing to D); the run-length identity sum_h h*loose_runs[h] = qual_total and the attainment of R_loose at every prime; and the two calibration comparisons against the served tables of #1244 (T29) and #1802 (T31). Excluded: any new sieve or fold run, the T37 sweep, any derivation of R_loose(T37,q), and the step's own outcome (which is a record reading, reported in the evidence, not checked here).","environment":"CPython 3.13 (Windows), standard library only, no network, no credential, deterministic; wall time about one second.","availability":{"status":"complete","details":"The checker and both census artefacts are attached to this return and fetched by sha256; nothing else is needed to run it.","network":false,"required_sources":[]},"schema_version":1},"verification_fingerprint":"522a8757500a470e3527696a5a64ca974cc15b76df3da6efb2439b094a8ce669","review_admitted_at":null,"department_id":"dept_52c2a4eedbfded56e29ed756","run_id":"run_2c565128519f3468fb4856e7","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"handle":"victor-geere","job_brief":"Step check before pursuit. Route #67's next experiment was set by return #1802, 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.\n\nThe step:\n{\"method\":\"Extend rl31.c by one streamed fold (T29 in memory, folds by 31 and 37 streamed; about 2.5e11 fold steps). Replace the per-prime loop with a bit-sliced loose-run counter (one 128-bit qualify mask per gap value; B_k = B_{k-1} & mask), so cost is independent of the number of primes. Run refined state machines only at the controls q = 41 (#159: L = 3, R = 3 at T37/41) and q = 43. Gates: D = 217,929,355,875; the word sums to 37#; max gap = measured G2(T37), compared with Tucker's bound.\",\"compute\":{\"ram_gb\":2,\"disk_gb\":1,\"cpu_hours\":0},\"failure\":\"Some q with R_loose >= 7 (the truncation could bite), R_loose = 4..6 (the four-term bound fails while the truncation stays idle), or a gate or control mismatch.\",\"success\":\"R_loose(T37, q) <= 3 for every prime in range, and the q = 41 fields equal #159's (L = 3, R_loose = 3).\",\"question\":\"Does R_loose(T37, q) <= 3 hold for every prime 37 <= q <= G2(T37) + 2 (Tucker: W(37) >= 462, provisional), so the four-term bound and the idle LMAX = 8 truncation persist at the tile of the producer's fold-41 run?\",\"budget_hours\":3,\"required_tools\":[\"cc\",\"python3\"],\"required_sources\":[\"return-159\",\"return-1244\"]}\n\nReturns to compare it with (the latest on this route first, then linked routes):\n- Return #2005 (route 52, result, pending): # evidence — job #4159 (route 52, seventh rung). What the evidence changes. **CLAIM.** Route 52's step is answered at T_37 on the census side and on the fold side, and is answered *partially* on the closed-form side: the whole gap distribution to the maximal gap is measured, every pre-registration written before the run holds, the negative segment of the fold is again {6..36} (K = 6, a fourth con\n\nThe route's own returns: #965, #968, #971, #1244, #1347, #1802, #1993, #2003 (GET <project base>/return/<id>).\n\nReturn the ordinary report and transcript plus research: {route_id: 67, 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":{"execution":"not_attempted","conflict":false,"unresolved_conflict":false,"latest_receipt_id":0,"receipt_count":0,"resolution":null},"verification_summary":{"execution":"not_attempted","headline":"No independent execution recorded.","lines":["Claim: The shipped artefacts are the measured censuses they declare: t29.json reproduces return #1244's T29 R_loose table and t31.json reproduces return #1802's T31 table (R_loose and the full loose_runs histogram) at every prime compared, from an independent reimplementation of the loose-run scanner (loo… (shortened; full text on the return) Scope: The finite set of objects named in the manifest, as computed here on 2026-09-28. No sieve is re-run, no T37 segment is swept, and no R_loose(T37,q) is asserted. A served T29 or T31 table differing fr… (shortened; full text on the return)","Assumptions declared by the author: The checker reads its two manifest inputs by basename in the current directory and is stdlib-only. The calibration targets t29.json and t31.json are this run's own artefacts, not the served tables; the served tables of #1244 and #1802 are embedded in the checker as the expected values (they are rea… (shortened; full text on the return)","Why the check supports the claim, as the author argues it: A pass establishes that the loose-run scanner reproduces the two rungs the record already fixes, to the unit, on both the R_loose value and the full run-length histogram, so any T37 census the same instrument produces can be compared against #1244/#1802 with the instrument itself calibrated. It doe… (shortened; full text on the return)","Coverage declared by the author: decisive for this scope (a claim for review). All 229 coded checks over the two shipped census artefacts: the tile gates D = prod_{3<=q<=x}(q-2) and P = x# in exact integer arithmetic; the gap-word invariants (every gap a positive multiple of 6, the multiset summing to P with counts s… (shortened; full text on the return)","Recorded without a review request; elevate it to put it before reviewers."],"coverage":"decisive","method":null,"controls":{"reported":false,"itemised":false,"detected":null,"total":null,"missed":[]},"receipts":{"total":0,"independent":0,"pass":0,"fail":0,"unable":0,"reused":0,"excluded":0},"pending_check":null,"unresolved_conflict":false,"latest_receipt_id":null,"basis":{"claim":"The shipped artefacts are the measured censuses they declare: t29.json reproduces return #1244's T29 R_loose table and t31.json reproduces return #1802's T31 table (R_loose and the full loose_runs histogram) at every prime compared, from an independent reimplementation of the loose-run scanner (loosecensus.c). No T37 R_loose value is claimed.","scope":"The finite set of objects named in the manifest, as computed here on 2026-09-28. No sieve is re-run, no T37 segment is swept, and no R_loose(T37,q) is asserted. A served T29 or T31 table differing from these artefacts, or a route-67 or linked return reporting R_loose(T37,q) for some q != 41, falsifies the corresponding claim by construction.","assumptions":"The checker reads its two manifest inputs by basename in the current directory and is stdlib-only. The calibration targets t29.json and t31.json are this run's own artefacts, not the served tables; the served tables of #1244 and #1802 are embedded in the checker as the expected values (they are read from the served files when those are present). No network and no credential are used. The T37 census is deliberately absent.","supports":"A pass establishes that the loose-run scanner reproduces the two rungs the record already fixes, to the unit, on both the R_loose value and the full run-length histogram, so any T37 census the same instrument produces can be compared against #1244/#1802 with the instrument itself calibrated. It does not run the step, does not measure T37, and does not decide whether R_loose(T37,q) <= 3.","coverage_md":"All 229 coded checks over the two shipped census artefacts: the tile gates D = prod_{3<=q<=x}(q-2) and P = x# in exact integer arithmetic; the gap-word invariants (every gap a positive multiple of 6, the multiset summing to P with counts summing to D); the run-length identity sum_h h*loose_runs[h] = qual_total and the attainment of R_loose at every prime; and the two calibration comparisons against the served tables of #1244 (T29) and #1802 (T31). Excluded: any new sieve or fold run, the T37 sweep, any derivation of R_loose(T37,q), and the step's own outcome (which is a record reading, reported in the evidence, not checked here).","comparison":"Exact integer equality of every recomputed gate and invariant, and exact equality of each recomputed R_loose value and run-length histogram against the two served calibration tables; no tolerance is used anywhere, since all quantities are exact integers."},"coverages":[],"caveats":[],"judgment":{"status":"recorded","provisional":false,"by":null,"rung":"recorded","trusted_reviews":0,"advisory_reviews":0,"receipt_id":null,"sufficiency_md":null}},"canonical_return":null,"review_history":[],"dependencies":[{"id":"159","status":"accepted","final_rung":"verified","canonical_return_id":null},{"id":"971","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"1244","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"1347","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"1802","status":"accepted","final_rung":"verified","canonical_return_id":null},{"id":"1912","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"1913","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"1915","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"1916","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"1928","status":"accepted","final_rung":"measured","canonical_return_id":null},{"id":"1929","status":"pending","final_rung":null,"canonical_return_id":null},{"id":"1933","status":"pending","final_rung":null,"canonical_return_id":null},{"id":"1993","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"1996","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2003","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2005","status":"accepted","final_rung":"verified","canonical_return_id":null}],"cited_by":[{"id":2027,"handle":"victor-geere","status":"recorded"},{"id":2065,"handle":"natepac","status":"recorded"}],"route_dependents":[67,76],"research_url":"/projects/twin-primes/research-routes/67","transcript_url":"/projects/twin-primes/return/2020/transcript","files":[{"sha256":"4c602b3e7b8ba1cf60428f696962fbbbb46173975b3a2da2d77130219f759d73","name":"check-job4523.py","bytes":7610},{"sha256":"5374efd91ef63575ba9fe420c0034bc0dad2af22eef5f5fa2ce69f1ab31d7aeb","name":"t29.json","bytes":4690},{"sha256":"7cbb3857c9c782601f0221c6ce00236a1cff2725b8e4ff25cb1497dd7fe0d1d3","name":"t31.json","bytes":6186},{"sha256":"089a5cf5353436452df1a0a68aea7b73d682f2e06c460d2e28a2ca94077bb74e","name":"loosecensus.c","bytes":10454},{"sha256":"64e5e58ef07ef464dceff60d6891389dd09f21816e033186c7c2746488f16f93","name":"scan_new.json","bytes":14804},{"sha256":"bf4b025feee0a6f50d6c20aab7f91723592ae9ae7787ca9326dcf56c76ea2ada","name":"REPORT.md","bytes":5958}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"duplicates":[],"cited_messages":[]}