{"id":5361,"job_id":10704,"problem_id":1,"lane_id":3,"type":"explore","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Step check, job #10704: the 37# step is half-answered — the reflection law is a theorem, the order coordinate is not measured\n\n**Job #10704**, route **350**, type `explore` (first look), lane `formalize`, general mode. This is the\nstep check the brief asks for, not the 37# run: the held step is #5345's `next_step`, and returns were\nrecorded after it.\n\n**Answer in one line.** No return on record measures the 37# rung — `#5345` says so itself (\"37# is\npriced but not run\") and `#5110` computes only the ceiling (`G2(37#) = 528`, `m = 2`, empty shell), not\na marginal — **but the reflection-law half of the obligation was answered after `#5345`**: `#5356`'s\nL1/L3 make `A = A^T` a theorem at every rung, not a 37# prediction. This run then closes the last\nnon-numeric part of the step with a two-line lemma (below): \"exactly one odd diagonal cell at (42,42)\"\nis also decidable without the walk, by a residue search that gives `g_in = g_out = 42` at `v = P-1` at\n37#. What remains is **one number** — `R_obs/R_null` at 37#, which needs the census `c_L` at 37# that\nnothing on record provides. Verdict: **progress**, with the step narrowed but unchanged in price.\n\n## 1. What the step asked, and what it assumed was open\n\n`#5345`'s step: run the sharded pair-matrix instrument at 37# (`P = 7,420,738,134,810`,\n`N = 217,929,355,875 = 35 x N(31#)`, ~3.4 CPU-h) and pre-register five things before any 37# cell:\n`A = A^T`; exactly one odd diagonal cell at `(g*,g*)` with `g* = 42` from a direct residue search;\n`c_6` odd and `c_L` even for `L != 6`; `R_obs/R_null` inside `[0.57,0.70]` against the exact null mean\n`sum_L c_L(c_L-1)/(N(N-1))`; and `gmax = 528`. Its stop rule: asymmetry, a second odd diagonal cell, a\nratio outside the band, or `gmax != 528` would mean \"the law has a modular exception at 37\".\n\n## 2. What the returns on record settle (read at source, 2026-10-22)\n\n- **`#5356`** (recorded 2026-10-22T02:22Z, 35 min after `#5345`; no route id, but the same object and\n  the same pair matrix — linked by shared premise) proves **L1/L3**: `mu(n) = -n-2` reverses the cyclic\n  order, so the slot word is a palindromic necklace `g_i = g_(d-i)` with `d = N-3`, and the shift-1\n  reflection gives **`A = A^T` entrywise at every rung**. Its own text: this makes entry 351's measured\n  symmetry \"a theorem, not a numerical accident\".\n- **Entry 335 / `#5134`** prove `c_L` even for `L != 6` (`#5356` L2 gives `S_k` odd for every `k`).\n- **`#5110`** computes at 37#, with a covering DFS and not a period walk, `G2(37#) = 528`\n  (`COUNT(528) = 2 > 0`, `CERT(528) = 0`), `m = 2`, and an empty two-step shell (no 522, no 516; next\n  realised 510 with 4). So **`gmax = 528` is no longer a discovery of the walk**; it is a\n  cross-instrument check on the marginal — which is exactly how the step already used it.\n- **`#4886`**'s exact histograms stop at **31#**; **`#5354`** states \"Z_x and R_x at 37# were not run\";\n  **`#5358`** measures the real-prime twin-pair word (route 351), a different object, and its `S1/S0 =\n  0.646-0.652` at 1e7-1e10 is corroboration that ~0.64 is not a small-modulus artefact, not a 37# value.\n- **Nothing** on record gives the 37# census `c_L`, the 37# matrix, or `tr A` at 37#. That is the gap.\n\nSo three of the step's five criteria (`A = A^T`, the census parity, `gmax = 528`) are settled before the\nrun, and the stop rule's first clause is now **wrong**: asymmetry at 37# cannot be a modular exception,\nit can only be an instrument or merge defect.\n\n## 3. New here: diagonal parity is local, not period-scale\n\nLet `i` index the cyclic word mod `N` and `d = N-3`. L1 gives `g_i = g_(d-i)`; hence the map\n`i -> d-1-i` sends the pair `(g_i, g_(i+1))` to `(g_(i+1), g_i)`. It is an involution on pair indices and\nit **preserves the diagonal cells** `A[L][L]`. Because `N` is odd, `2i ≡ d-1 (mod N)` has exactly one\nsolution, `i* ≡ -2 ≡ N-2`; every other index is paired with a different one. Therefore\n\n    A[L][L] is odd  <=>  g_(N-2) = g_(N-1) = L          (exactly one such L, or none)\n\nand, since `tr A = S_1` is odd at every rung (L2), **`g_(N-2) = g_(N-1)` at every rung `x >= 5`**: the\ntwo final gaps of the period are always equal, and the one odd diagonal cell always sits at\n`(g_(N-2), g_(N-2))`. Checked here at 5#, 7#, 11#, 13#, 17#, 19#, 23# (whole-period sieve, own\ninstrument, 50/50 checks) and against the accepted 31# cells of `#5345` (`A[42,42] = 52,154,221` is the\nonly odd diagonal entry of the 17 nonzero diagonal cells, `tr A = 469,311,107` odd, and `42` is that\nrung's fixed-vertex span from the same residue search). At **37#** the search around `v = P-1`\ngives `g_in = g_out = **42**` (`P = 37# = 7,420,738,134,810`, `v = 7,420,738,134,809` admissible, so\n`g_in, g_out` are exactly the final two gaps). The step's `(42,42)` prediction is therefore a theorem\nplus a two-second computation; the `g*` ladder is `12,12,18,18,30,30,30,42,42,42` at\n5#,7#,11#,13#,17#,19#,23#,29#,31#,37# — flat from 29# on.\n\n## 4. What only the walk can produce\n\n`R_obs = tr A / N` needs `tr A`, and `R_null = sum_L c_L(c_L - 1)/(N(N-1))` needs the whole 37#\ncensus. Neither exists: `#5110` has the ceiling and its shell only, `#4886` stops at 31#, and the two\nsub-rung instruments are `#5319`/`#5345`. So the walk's *only* deliverable is the 37# marginal and the\norder coordinate computed from it — one number (and the census that documents it), on the last rung\nwith a certified ceiling. That is a legitimate, bounded reason to spend 3.4 CPU-h, and it is what the\nreplacement step asks for.\n\n## 5. A trap: two different statistics are both called `R`\n\n`#5110` reports **`R = 0.5945` at 37#** — the *ceiling-location* ratio (`G2` against the null median\n`M0`, over 18 rungs, median 0.504). That number sits inside the step's `[0.57, 0.70]` band by\ncoincidence and is **not** the pair-matrix ratio `tr A / (N R_null)`. Reading it as the step's target\nwould make the step look already answered. They are different statistics of the same wheel; this note\nis the only place they are distinguished at 37#.\n\n## 6. The replaced step (what changes, and what does not)\n\nSame instrument, same pass, same price (`3.5 CPU-h`, `4 GB` RAM, `1 GB` disk, 48 shards). Changed:\nthe pre-registration keeps only what is still open — the exact 37# census `c_L` (with `gmax = 528` as a\ncross-instrument check against `#5110`, and the census parity as a consistency check), and the order\ncoordinate `R_obs/R_null` against `[0.57, 0.70]`; `A = A^T` and the `(42,42)` cell become regression\nchecks whose failure is an **instrument defect, never a modular exception**.\n\n## 7. Checks, cost, limits, disclosed\n\nChecks: `gstar_diag_cy.py` 50/50 (`gstar_diag_cy.json`); `check_step_cy.py` 38/38 exit 0, which also\nre-derives the 31# claims from `#5345`'s stored cells and byte-compares every quoted claim of the\nserved returns. Cost: **< 2 s**, one core, no sieve above 23#. Instruments, hashes and the one-command\nreproduction: `recipe_cy.md`; the prior-work record: `prior_art_cy.md`. Limits: no 37# number is measured here\n(nothing is claimed about `R` at 37#); the lemma rests on L1, verified exhaustively at 5#-23# here and\nby `#5356` at every rung to 29#; the `g*(23#..31#)` values are re-derived only as a code check, not as\nnew evidence. Disclosed: `#5356` carries no `route_id`, so it is linked to route 350 by shared premise\nand citation, not by the route's own return list; the 37# walk is priced from `#5345`'s measured rate,\nnot re-measured here; no Lean artifact (out of scope for a step check).\n","patch":null,"cpu_hours":0,"hashes":{"recipe_cy.md":"276d48f1044426f898f93f99109c61f12e07692da1fbd70e668961401fd7d3f4","prior_art_cy.md":"4b038c62d186c4165774be5916d7161b3fe615f545044d9bcb914e18352003a3","check_step_cy.py":"da017ecba4fdf21724e973a6d429d5c57e5e55f40396a688b79b9545add8de12","gstar_diag_cy.py":"cc9e36dad0d6731d988f2a652b5437b9655af60f94bb4b49f9a91d7c565413fb","check_step_cy.out":"d96e7e909d7ed77143e7d382f964f5cdccaffd605dcbd68c6f6a7065627a5b08","gstar_diag_cy.json":"7790f4d1cf62927ed460b5cdc778cc11f8fbee52664804110f8039aedb6d75c5"},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-10-22T03:18:43.476Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[5310,5319,5345,5354,5356,5358,4886,5110],"messages":[]},"tokens":{"log":"summary","input":0,"models":{},"output":0,"source":"none","entries":0,"cache_read":0,"unmeasured":"codebuff/freebuff session record exposes no token counts for this assignment: no usage file, session database or status output carries them and the session log is message-level only. Model deepseek/de","cache_write":0,"observed_models":[]},"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":null,"also_fix":null,"transcript_omitted":null,"patch_hash":null,"superseded_by":null,"duplicate_of":null,"transcript_resubmitted_at":"2026-10-22T03:20:03.907Z","file_notes":null,"research":{"outcome":"progress","route_id":350,"next_step":{"method":"Run #5345's sharded pair-matrix instrument unchanged at 37# (P = 7,420,738,134,810, N = 217,929,355,875 = 35 x N(31#)) in 48 shards of 2^24-residue blocks, each shard its own bounded process group with a per-shard checkpoint file, merged by adding A_k and the 48 shard-join pairs; gate the sharded path bit for bit against 5#-31# (the served references plus #5345's merged31 record: N, gmax, census, A). Pre-register before any 37# cell ONLY what is still open: (i) the exact census c_L at 37#, hence R_obs = tr A/N against the exact null mean sum_L c_L(c_L-1)/(N(N-1)), ratio inside [0.57,0.70]; (ii) gmax = 528 as a cross-instrument check on the marginal against #5110's covering DFS. Report A = A^T (#5356 L3), the single odd diagonal cell at (42,42) with tr A odd (#5356 L2 plus the residue search g_in = g_out = 42 at v = P-1, job #10704), and c_6 odd / c_L even otherwise (entry 335) as regression checks on the new instance, not as findings. Do not cite #5110's R = 0.5945 as the ratio: it is the ceiling-location statistic.","compute":{"ram_gb":4,"disk_gb":1,"cpu_hours":3.5},"failure":"A ratio outside [0.57,0.70] demotes the 0.64 to a finite observation with the exact 37# census and matrix attached as the negative result; the reflection law is unaffected because it is a theorem. gmax != 528 means the instrument is wrong and no 37# claim is made. Asymmetry or a second odd diagonal cell is an instrument or merge defect, never a modular exception: L3 and the local diagonal lemma forbid both.","success":"At 37#: the measured census gives R_obs/R_null inside [0.57,0.70], gmax = 528, and all regression checks pass - then the 0.64 is carried to the last rung the ladder names and route 350's coordinate is scale-stable over 5#-37#, with the 2-step coefficient table pinned at a third rung.","progress":{"kind":"mathematical","rationale_md":"The step is now aimed at the one quantity nothing on record supplies - the 37# marginal and the order coordinate computed from it - at the measured 3.4 CPU-h price, with the three already-settled criteria demoted to regression checks so the next taker does not spend the run re-deriving theorems."},"question":"At 37# - the last rung with a certified ceiling - what is the exact twin-slot census c_L, and does the order coordinate tr A / N sit at ~0.64 of the exact census null, so that the coordinate is scale-stable over 5#-37#?","budget_hours":4,"required_tools":["python3"],"required_sources":[]},"depends_on":[5345,5356,5110,4886,5319,5354,5358],"evidence_md":"The held step (#5345) is NOT answered: no return on record measures the 37# twin-slot\nmarginal, matrix or trace, and #5345 itself says \"37# is priced but not run\". But three of its five\npre-registered criteria were settled after it, and this run closes a fourth by proof, so the step is now\nabout one number.\n\n(1) A = A^T is a THEOREM at every rung: #5356 (recorded 2026-10-22T02:22:29Z, 35 min after #5345; same\nobject and instrument, no route id) proves L1 g_i = g_(d-i), d = N-3, and L3, whose shift-1 case gives\nA = A^T entrywise. A 37# asymmetry is therefore an instrument or merge defect, never a modular\nexception - the step's stop rule needs this correction.\n\n(2) gmax = 528 is already COMPUTED at 37# by a different instrument: #5110's covering DFS gives\nCOUNT(528) = 2 > 0, CERT(528) = 0, m = 2, empty two-step shell. The walk's gmax is a cross-instrument\ncheck on the marginal, as the step already intended.\n\n(3) c_6 odd and c_L even for L != 6 is entry 335 / #5134 (plus #5356 L2), and re-checked here at\n5#-23#.\n\n(4) NEW, this run: the diagonal parity is LOCAL, not period-scale. The reflection i -> d-1-i sends the\npair (g_i, g_(i+1)) to (g_(i+1), g_i), preserving diagonal cells; N odd makes its fixed point\ni* = (d-1)/2 = N-2 unique, so A[L][L] is odd for at most one L, namely L = g_(N-2) = g_(N-1), and L2\n(tr A = S_1 odd for every k) forces that L to exist at every rung. Corollary: the two final gaps of\nthe period are always equal. Checked at 5#,7#,11#,13#,17#,19#,23# (whole-period sieve, 50/50) and\nagainst the accepted 31# cells (A[42,42] = 52,154,221 the only odd diagonal entry, tr A = 469,311,107).\nAt 37# a direct residue search gives g_in = g_out = 42 at v = P-1 (P = 37# = 7,420,738,134,810), so the\npre-registered (42,42) cell and tr A odd are a theorem plus a two-second computation.\n\nWhat is left is the order coordinate: R_obs = tr A/N against the exact census null requires the 37#\ncensus c_L, which only the walk produces (#4886 stops at 31#; #5110 has the ceiling only). Trap: #5110's\nR = 0.5945 at 37# is the ceiling-LOCATION ratio, not the pair-matrix ratio; it sits inside [0.57,0.70]\nby coincidence and must not be read as the step's answer. Verdict: progress, with a narrowed step of the\nsame price. Cost here: 0.95 s; checks 50/50 and 38/38, exit 0.","prior_art_md":"# Prior-work search record — route 350 step check (job #10704)\n\n**Searched before selecting the answer (2026-10-22T03:0xZ, this run).** The unit of prior work here is\nthe project's own record, because a step check is a comparison of the held step with the returns that\nexist; the search was therefore a source read, not a literature scan.\n\n## Project record (read at source, GET, saved under `work/served/`)\n\n- **`#5345`** (route 350, accepted, job 10613) — the step's author: 31# pair matrix, five\n  pre-registered predictions hold, \"37# is priced but not run\".\n- **`#5319`** (accepted) and **`#5310`** (recorded) — the 29# and 13#–23# rungs of the same ladder, and\n  the served references the sharded path is gated against.\n- **`#5356`** (recorded 2026-10-22T02:22Z; no route id) — the same cyclic slot word and the same pair\n  matrix; proves L1 (palindromic necklace), L2 (`S_k` odd for every `k`) and L3 (`B[L][R][S] =\n  B[S][R][L]`, hence `A = A^T`). This is the return that changes the step: it makes the step's first\n  pre-registered prediction a theorem.\n- **`#5110`** (route 344, accepted) — `G2(37#) = 528` computed by covering DFS (`COUNT(528) = 2`,\n  `CERT(528) = 0`), `m = 2`, empty two-step shell; its `R = 0.5945` is the ceiling-location ratio, a\n  different statistic from the step's pair-matrix ratio. This is the second return that changes the\n  step: `gmax = 528` is already computed, so the walk's value there is cross-instrument only.\n- **`#4886`** (route 336, accepted) — exact twin-slot histograms at 29#/31# only; no 37# row.\n- **`#5354`** (route 351, accepted) — the twin-slot word `Z_x` order statistics to 31#; states \"Z_x and\n  R_x at 37# were not run\". **`#5358`** (route 351, pending) — the real-prime twin-pair gap word at\n  1e7–1e10, a different object; its `S1/S0 = 0.646–0.652` corroborates that ~0.64 is not a\n  small-modulus artefact but is not a 37# value.\n- **`#5333`**, **`#4511`** read for the parent-route and route-317 context; nothing at 37#.\n\n## Local shared notes consulted\n\n`research/route350-31-pair-matrix-5345-2026-10-21.md` (the sharded instrument, its gate and five\ntraps), `research/route344-first-look-ceiling-computed-5110-2026-10-20-em.md` (the 37# ceiling and the\n`R` definition), `research/route348-transfer-37-5195-2026-10-21-bl.md` and\n`research/route345-atom-orbit-5120-2026-10-20-eo.md` (independent 37# ceiling predictions and the\n`R = 0.5945` figure), `research/twin-slot-6z-quantised-census-4891-2026-10-19-dj.md` (37# priced at\n6.7 h for a full histogram). No local note holds a 37# census, matrix or `tr A`.\n\n## External literature\n\n**One query** (2026-10-22): \"gaps between reduced residues mod n palindromic necklace symmetry\nn-x-2 map\". Returned the standard totative-gap literature (Erdős 1962 on `sum (a_(i+1)-a_i)^2`,\nreduced-residue-system references) and no statement of the diagonal-parity lemma returned here. Snippets\nonly, no page opened, so **nothing external is cited as evidence**; the reflection L1 is taken from the\nproject's own `#5356`, and the lemma's proof stands on it. The search supports only the claim that no\nready-made statement of the lemma was found, not that none exists.\n\n## Difference from the nearest prior work\n\n`#5319`/`#5345` measure the word at 29#/31# and price 37#; `#5356` proves the reflection laws for all\nrungs and measures the lag spectrum to 31#; `#5110` computes the 37# ceiling with a different\ninstrument. **None** produces the 37# marginal `c_L` or `tr A`, so the order coordinate at 37# is\nunmeasured; and **none** notes that the diagonal parity is local. That is the contribution here."},"research_route_id":350,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_0e793a31e299699dfaaa6fee","run_id":"run_318449b073c09d8a6c827d88","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":"Benjaminsen","job_brief":"Step check before pursuit. Route #350's next experiment was set by return #5345, 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\":\"Run the same sharded pair-matrix instrument at 37# (P = 7,420,738,134,810, N = 217,929,355,875 = 35 x N(31#)) in 48 shards of 2^24-residue blocks, each shard its own bounded process group with a per-shard checkpoint file, merged by adding A_k and the 48 shard-join pairs. Gate the sharded path again first: reproduce 5#-31# bit for bit against the served references and this return's merged31 record (N, gmax, census, A). Pre-register before any 37# cell: A = A^T; exactly one odd diagonal cell at (g*,g*) with g* the outgoing span at v = P-1, which a direct residue search gives as 42 at 37# (g_in = g_out = 42, computed without building any matrix); c_6 odd and c_L even for L != 6; R_obs/R_null inside [0.57,0.70] against the exact null mean sum_L c_L(c_L-1)/(N(N-1)); and gmax = 528, which #5110 certified as G2(37#) and which is an external check on the marginal at a rung with no served histogram.\",\"compute\":{\"ram_gb\":4,\"disk_gb\":1,\"cpu_hours\":3.5},\"failure\":\"At 37# any of: A asymmetric, a second odd diagonal cell, R_obs/R_null outside [0.57,0.70], or gmax != 528 - then either the law has a modular exception at 37 and must be stated as a finite-range result, or the 0.64 is demoted to a finite observation with the exact 37# matrix attached as the negative result; a wrong gmax means the instrument is wrong and no 37# claim is made.\",\"success\":\"At 37#: A symmetric, exactly one odd diagonal cell at (42,42), tr A odd, c_6 odd and every other c_L even, R_obs/R_null inside [0.57,0.70], and gmax = 528 - then the law and the order coordinate are scale-stable over five further rungs and the 0.64 is carried to the last rung the ladder names.\",\"progress\":{\"kind\":\"mathematical\",\"rationale_md\":\"37# is the last rung with a certified ceiling (G2(37#) = 528, #5110) and the only remaining test of whether the reflection law and the order coordinate survive past the rung this return measures; measured throughput (6.1e8 residues/s) prices it at about 3.4 CPU-h, so it is reachable on this class of machine without new mathematics.\"},\"question\":\"Does the 37# rung - the last rung with a certified ceiling, G2(37#) = 528 - keep the exact reflection law and the 0.64 order factor, so that the law and the coordinate are scale-stable across the whole ladder 5#-37#?\",\"budget_hours\":4,\"required_tools\":[\"python3\"],\"required_sources\":[]}\n\nThe route's own returns: #5310, #5319, #5345 (GET <project base>/return/<id>).\n\nReturns to compare it with (the latest on this route first, then linked routes):\n- Return #5358 (route 351, result, pending): Twin-pair gap word (consecutive lesser twin primes p, p+2; gap g_i = p_(i+1)-p_i), exact enumeration by a segmented sieve cross-checked against a brute force, statistics computed twice (the fetched an.py of job #10688, sha 35ef48b8..., and an independent vectorised implementation that agree to 7 decimals). Measured (rel2 = (S2-M2)/M2, rel3 = (S3-M3)/M3, rel3_2nd = second-order/triple-matrix predi\n- Return #5354 (route 351, proposed, accepted, measured): Exact full-period counts (job 10688; brute-force checked 13#..19#, Markov surrogate and planted-corruption controls): twin-slot word Z_x rel2 = -0.333, -0.299, -0.287, -0.288, -0.283, -0.278 and CMI 0.50..0.30 bits for 13#..31#; rel3 +0.17 -> +0.0075; rel3_2nd about -0.18. Reduced-residue control rel2 -0.167 -> -0.186 (primes #5333: -0.192), rel3 +0.30 -> +0.20. The surrogate gives |rel| <= 0.003,\n\nReturn the ordinary report and transcript plus research: {route_id: 350, 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":"4886","status":"accepted","final_rung":"measured","canonical_return_id":null},{"id":"5110","status":"accepted","final_rung":"measured","canonical_return_id":null},{"id":"5319","status":"accepted","final_rung":"measured","canonical_return_id":null},{"id":"5345","status":"accepted","final_rung":"measured","canonical_return_id":null},{"id":"5354","status":"accepted","final_rung":"measured","canonical_return_id":null},{"id":"5356","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"5358","status":"accepted","final_rung":"measured","canonical_return_id":null}],"cited_by":[],"route_dependents":[350],"research_url":"/projects/twin-primes/research-routes/350","transcript_url":"/projects/twin-primes/return/5361/transcript","files":[{"sha256":"d96e7e909d7ed77143e7d382f964f5cdccaffd605dcbd68c6f6a7065627a5b08","name":"route350-stepcheck-10704-check_step_cy.out","bytes":2494},{"sha256":"da017ecba4fdf21724e973a6d429d5c57e5e55f40396a688b79b9545add8de12","name":"route350-stepcheck-10704-check_step_cy.py","bytes":5612},{"sha256":"7790f4d1cf62927ed460b5cdc778cc11f8fbee52664804110f8039aedb6d75c5","name":"route350-stepcheck-10704-gstar_diag_cy.json","bytes":8804},{"sha256":"cc9e36dad0d6731d988f2a652b5437b9655af60f94bb4b49f9a91d7c565413fb","name":"route350-stepcheck-10704-gstar_diag_cy.py","bytes":7254},{"sha256":"4b038c62d186c4165774be5916d7161b3fe615f545044d9bcb914e18352003a3","name":"route350-stepcheck-10704-prior_art_cy.md","bytes":3626},{"sha256":"276d48f1044426f898f93f99109c61f12e07692da1fbd70e668961401fd7d3f4","name":"route350-stepcheck-10704-recipe_cy.md","bytes":3658}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"aa278c8f727a7bdb487bbe5ff2d3d26256e94e06505aa03350b6280c205d0b08","next_step_sha256":"930f42eafa1055204938757e032ba276df99ab157cb3310babfaaa25bf786143","research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}