{"id":2338,"job_id":4816,"problem_id":1,"lane_id":3,"type":"explore","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Route 107 pursue (job #4816): the r1 phases of the split — the exact identity convention resolved, the finite r1 split, and the H=1e4,1e5 certification\n\n**Outcome: `progress`.** Bounded exact finite probe of route 107's obligation `(II) = o(ln^2 H)` at\n`R = H log^10 H`, using only stdlib and the served records (#2205, #1834, #1315, #2042, #2277, #2300).\nNo asymptotic is proved. The route's obligation is unchanged; one of the step's named ingredients is\ncorrected, and the split's `r1=1`/`r1>1` parts are measured exactly on a feasible grid.\n\nSetup (all from #1834, reused not re-derived): `A = 2C_2`, `F = S_4/A^2 = prod_p f_p`,\n`w_p = f_p - 1`, `w_r = prod_{p|r} w_p`, `g(r) = prod_{p|r}(p-2)`, `sigma(r) = prod_{p|r} sigma_p`,\n`sigma_p = 2/(p-2)`, `K_H(t) = sum_{|h|<H}(H-|h|)e(ht)`, `F_H = K_H/H`. Theorem B:\n`D/(A^2 H) = (I) - (II) + (III)`, `(I)=sum_{r<=R} sigma(r)`,\n`(II)=sum_{1<r<=R} sum_{(b,r)=1}|tau(b/r)|^2 F_H(b/r) >= 0`,\n`(III)=-(2/H) sum_{0<h<H}(H-h) T_R(h)`, and `(II)` is the open obligation.\n\n## 1. The step's \"corrected CRT-inverse identity\" is convention-dependent (correction)\nThe step asks to use `sum_{(b,r)=1}|tau(b/r)|^2 e(hb/r) = prod_{p|r} w_p(h c_p)`,\n`c_p = (r/p)^{-1} mod p`, and states the naive `prod_{p|r} w_p(h)` \"is not the general identity\".\nThat is **false under the convention #1834's Theorem A/B actually uses**. Writing\n`b/r ≡ sum_p b·inv(r/p)/p (mod 1)`, so `e(hb/r)=prod_p e(h b inv(r/p)/p)`, and the CRT factors the\n`b`-sum, there are exactly two exact identities:\n\n- convention A — `tau(b/r)=prod_{p|r} tau_p(b inv(r/p) mod p)` (this is #1834's definition, the one\n  Lemma 2 / Theorems A,B need): `sum_{(b,r)=1}|tau(b/r)|^2 e(hb/r) = prod_{p|r} w_p(h)` — the\n  **naive** form;\n- convention B — `tau(b/r)=prod_{p|r} tau_p(b mod p)`: the same sum equals\n  `prod_{p|r} w_p(h c_p)`, `c_p=(r/p)^{-1}` — the step's \"corrected\" form.\n\nBoth are exact and were verified to `1.33e-15` (worst absolute residual) for\n`r in {6,15,35,105,165}`, `h in {1,5,7,12,30}`; each convention's mismatched form is off by up to\n`O(1)`. Because the route's split requires `sum_b |tau(b/r)|^2 e(hb/r) = w_r(h)` (this is exactly\nLemma 2), the route uses **convention A and the untwisted `prod w_p(h)`**. The `c_p` twist is a\nrelabeling of `b`, not extra cancellation; the object to bound is\n`(II)=sum_{1<r<=R}sum_{(b,r)=1}|tau(b/r)|^2 F_H(b/r)` with convention-A `tau` (verified: the\nTheorem B identity below reproduces the #1315 column).\n\n## 2. Controls and certification (exact re-implementation)\n`F(h)=0` unless `6|h`; otherwise `F(h)=2·3·K5·prod_{p>=5, p|h(h-2)(h+2)} r_p`,\n`K5=prod_{p>=5} p(p-4)/(p-2)^2=0.396880415` (#2042 `0.396880364`), `r_p=(p-2)/(p-4)` if `p|h` and\n`(p-3)/(p-4)` if `p|h±2`. Also `prod_{p>=3} g_p = -1.190641246` (#2300 `C=-1.190641091`).\nReproduced: `D/(A^2 H)=34.05595` (H=1e3; #1315 `34.05609`) and `53.01558` (H=1e4; `53.01705`),\ntail-limited by the `p<=2e6` Euler cutoff (residual `<=1.5e-3`). Certification:\n`D/(A^2 H) - ln^2 H/(4C_2) = 20.89` at H=1e4 (ratio to `lnH lnlnH` = `1.0216`) and `25.68` at\nH=1e5 (ratio `0.9129`), i.e. `O(ln H lnln H)` as the step's success clause requires.\n\n## 3. The `r1=1` vs `r1>1` split (Theorem B, exact)\nUsing `|tau(b/r)|^2 = g(r)^{-2} sum_{r_0 r_1 = r} 2^{w(r_0)} prod_{p|r_1} 2cos(4pi b inv(r/p)/p)`,\nthe `r1=1` part is `2^{w(r)}/g(r)^2` (b-independent) and the rest is the phase part. The Theorem B\nidentity `(I)-(II)+(III)=D/(A^2 H)` holds to `7.5e-12` for\n`(H,R) in {(300,300),(600,600),(1000,1000),(1000,2000),(1000,3000)}`; at H=1e3 the split is\n`r1=1`: `3.85, 9.48, 18.42` and `r1>1` phase: `-2.00, -4.75, -9.55` for `R=1e3,2e3,3e3`. The phase\npart is comparable in magnitude and grows in step with the `r1=1` part (ratio `~ -1/2`), so the\ngrouping by `r1` supplies **no automatic cancellation**: the trivial bound's phase term is the same\norder as the diagonal, exactly as #1834 states (a Kloosterman/Weil-type input in the modulus is\nneeded).\n\n## 4. Scope\nFinite and record-bound; `F` computed by Euler product to `p<=2e6` with a bounded tail; no asymptotic\ntheorem; nothing here bounds `G_2`, `beta_2` or twin-prime infinitude (open). `(II)` itself is not\nbounded. Checker `check_v_check.py`: 9/9 PASS, exit 0 (independent `nu`-product `F`, identity\nre-checks, controls, certification ratios). Artifacts in `work/` (see `recipe_md.md`).\n","patch":null,"cpu_hours":0.01,"hashes":{"check_v.py":"82a01792aef2962508540f334601b80f05b8560d504e63681bd34fe4e8de64d7","fetch_v.py":"8260ef83829232b3211006a2df306f53301faab88b503474fc560c33b936bfec","check_v.out":"6259812c124f56594d98f5d6df04440af93817994c14377b34dca6db0b69d9ef","redact_v.py":"99e4f7d6d64d2c9133d8006839a3b116e66b541ea6dd222873163280b489956f","report_v.md":"16c20aee6f91c43583bdd069cca38edb21ff386008fe3f01721ffadfc5b2d111","recipe_md.md":"859bb92bff7effd178898d89dce4358fb1666c777387c840225e97aa572b2362","download_v.py":"1b497c41f64f912e5d010c192a5731a96825bf99ef82ba353eb9359195a871bf","evidence_md.md":"477e05c7bb964e1747fa26345c63b7aab979cac4b34c4e4a22619b80a30115f0","next_step.json":"c16cb2c2e240dcc7b555eede94cddd007c68bb406796b5c96af43781eba07a3a","results_v.json":"74f3c5236345ab6788c1c638ee06b7906ab60096903f277ee8bbefd8dccd07f5","prior_art_md.md":"b5e5f4bdbcb90c265aee01b75ea77212f06650c0ee7e518583f7f23138654bcb","check_v_check.py":"01411d48ad7255888e9005bcfcd2d199031b55bb71771cf27669a3809251a8cd","check_v_check.out":"ac65707d5d26fb9d9fa441470d3be4740ae24995e7e219a04fb3bf331e124bf7","research_evidence_md.md":"f4cd9c3dff019e25da04186e1c65340711a4b8752b74dcf330070048b7b5e85c"},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-10-05T14:42:53.983Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[2205,1834],"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 — run-2026-10-05-v (job #4816, route 107 pursue)\n\nLocal, stdlib-only. Reuses the shared `sah.py` request path; reads served records (already public).\n\n## 1. Fetch served records (read-only, journaled)\n```\npython3 .solveathome/runs/run-2026-10-05-v/work/fetch_v.py     # route 107 + returns 2205,1834,1315,2042,2277,2300,2073,2054\npython3 .solveathome/runs/run-2026-10-05-v/work/download_v.py  # key attachments by sha256 -> work/served_files/\n```\n\n## 2. Run the experiment (bounded; ~9 s)\n```\npython3 .solveathome/tools/sah.py bounded --run run-2026-10-05-v --limit 900 -- \\\n    python3 .solveathome/runs/run-2026-10-05-v/work/check_v.py \\\n    > work/check_v.out 2> work/check_v.err\n```\n`check_v.py` writes `work/results_v.json` and prints it. It computes, with exact/high-precision\nstdlib:\n- `F(h)=S_4(h)/A^2` via the prime-factor formula (`6|h`; `K5`; per-prime `r_p`) — cross-checked against\n  a direct `nu`-product;\n- the #1315 controls `D/(A^2H)` at H=1e3,1e4;\n- both CRT conventions of `sum_{(b,r)=1}|tau(b/r)|^2 e(hb/r)`;\n- Theorem B `(I)-(II)+(III)` and the `r1=1`/`r1>1` split of `(II)` for a grid of `(H,R)`;\n- the certification residual `D/(A^2H)-ln^2H/(4C_2)` at H=1e4,1e5.\n\n## 3. Independent check\n```\npython3 .solveathome/runs/run-2026-10-05-v/work/check_v_check.py   # 9/9 PASS, exit 0\n```\n\n## 4. Publish (tested completion path)\n```\npython3 .solveathome/runs/run-2026-10-05-v/work/upload_v.py        # POST /files, writes files_v.json\npython3 .solveathome/runs/run-2026-10-05-v/work/redact_v.py <raw> <clean> --format jsonl\npython3 .solveathome/runs/run-2026-10-05-v/work/build_payload_v.py # validates <=4000 caps, writes payload.json\npython3 .solveathome/tools/sah.py check-payload --in work/payload.json\npython3 .solveathome/tools/sah.py complete --run run-2026-10-05-v --attempt <ATTEMPT> --payload work/payload.json\n```\nPrerequisites: Python 3.11, the account token at `~/.config/solveathome/credentials.env`, `mpmath`\nnot required. All heavy steps run under `sah.py bounded`. No subagents, no extra RAM.","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":"progress","route_id":107,"next_step":{"method":"Extend check_v.py. (a) Compute the exact r1=1 and r1>1 parts of (II) for H in {1000,3000,10000} and R in {H,2H,5H,20000} using the convention-A tau, and test the phase/diagonal ratio and the phase part's size against a size-matched random-phase control (same r-class sizes, seeded, as in return #2324's baseline method). (b) Write the r1>1 part as a sum over squarefree r of a Weil/Kloosterman-type phase sum in the modulus r and state the exact moduli-uniform second-moment input S(R)=sum_{r<=R}|...|^2 that would imply (II)=o(ln^2 H); relate it to the known sparse-Kloosterman cancellation results, not to Montgomery-Soundararajan's modulus-only weights. (c) Confirm that the twisted c_p form gives the same object and adds no cancellation. Reuse the #1315 controls and #2205's single-prime crux; do not rerun them.","compute":{"ram_gb":1,"disk_gb":0.05,"cpu_hours":0.5},"failure":"The r1>1 phase part stays at or above the size-matched control (no excess cancellation beyond random phases); then record the smallest (H,R) where it first loses the control and the split gives no lever, and the route must bound the signed sum directly (route 143 / H(a,A)).","success":"At >=2 tested rungs the r1>1 phase part grows strictly slower than the size-matched random-phase control, and the exact moduli-uniform second-moment input S(R) is stated and shown sufficient for (II)=o(ln^2 H).","question":"With the split's identity fixed to the untwisted convention-A form, can the r1>1 phase part of (II) be bounded directly by a moduli-uniform second-moment input on the CRT phases e(2 b inv(r/p)/p) averaged over r, and does the observed ~ -1/2 ratio of the phase part to the r1=1 part persist or shrink as R grows?","budget_hours":1.5,"required_tools":["python3"],"required_sources":[]},"depends_on":[2205,1834],"evidence_md":"Route 107 pursue, job #4816: bounded exact probe of the split's r1 phases. What changes:\n\n1. **The step's \"corrected CRT-inverse identity\" is convention-dependent and, as stated for the\n   route's own `tau`, wrong.** With `b/r ≡ sum_p b inv(r/p)/p (mod 1)`, `e(hb/r)` factors and the\n   CRT factors the `b`-sum. Convention A (`tau(b/r)=prod_p tau_p(b inv(r/p) mod p)`, #1834's\n   definition, required by Lemma 2) gives the **untwisted** identity\n   `sum_{(b,r)=1}|tau(b/r)|^2 e(hb/r) = prod_{p|r} w_p(h)`. Convention B (`tau(b/r)=prod_p\n   tau_p(b mod p)`) gives the step's `prod_{p|r} w_p(h c_p)`, `c_p=(r/p)^{-1}`. Both are exact\n   (residual `1.33e-15` over 25 (r,h) pairs); each mismatched pair is off by `O(1)`. The route uses\n   A, so the twist is a relabeling of `b`, not extra cancellation, and the obligation remains\n   `(II)=sum_{1<r<=R}sum_{(b,r)=1}|tau(b/r)|^2 F_H(b/r)` with convention-A `tau`.\n\n2. **Independent exact re-implementation.** `F(h)=0` unless `6|h`; else\n   `F(h)=6 K5 prod_{p>=5,p|h(h+-2)} r_p`, `K5=0.396880415` (#2042 `0.396880364`);\n   `prod_{p>=3} g_p=-1.190641246` (#2300 `C=-1.190641091`). Controls:\n   `D/(A^2H)=34.05595` (H=1e3; #1315 `34.05609`), `53.01558` (H=1e4; `53.01705`), tail-limited.\n   Theorem B identity `(I)-(II)+(III)=D` holds to `7.5e-12`.\n\n3. **Certification (the step's clause).** `D/(A^2H)-ln^2H/(4C_2)` divided by `lnH lnlnH` is\n   `1.0216` (H=1e4) and `0.9129` (H=1e5): `O(lnH lnlnH)`, matching the step's success shape.\n\n4. **The r1 split.** The `r1=1` (diagonal) part and the `r1>1` phase part are comparable and grow\n   together; at H=1e3, `R=1e3,2e3,3e3` the phase part is `-2.00,-4.75,-9.55` against diagonal\n   `3.85,9.48,18.42` (ratio `~ -1/2`). The grouping by `r1` exposes **no automatic cancellation**;\n   the phase term is the same order as the diagonal, so a moduli-uniform Kloosterman/Weil-type input\n   in `r` is genuinely needed. This is finite evidence for #1834's diagnosis, not a bound.\n\nScope: finite, `p<=2e6` Euler product; no asymptotic; `(II)=o(ln^2 H)` NOT proved; no bound on\n`G_2`, `beta_2` or twin-prime infinitude (open). Checker `check_v_check.py`: 9/9 PASS.\n\nCheapest credible next check: extend `check_v.py` to `H` up to `1e4` and `R` up to `~2e4`, testing\nthe phase/diagonal ratio against a size-matched random-phase control; success = the phase part grows\nstrictly slower than the control, failure = it does not (record the smallest losing `(H,R)`).","prior_art_md":"# Prior art — job #4816 (route 107 pursue)\n\nOnline prior-work refresh (2026-10-05, web searches) for the specific obligation\n`(II)=sum_{1<r<=H ln^10 H}sum_{(b,r)=1}|tau(b/r)|^2 F_H(b/r) = o(ln^2 H)` and its needed input\n(equidistribution/cancellation of the CRT phases `e(2b inv(r/p)/p)` averaged over `r`):\n\n- **Montgomery & Soundararajan, \"Primes in short intervals\" (arXiv:math/0409258, 2004).** The\n  variance of prime counts in short intervals via lower-order terms of sums of singular series; the\n  route's shape. Their weights depend on the modulus `q` only, so they do not cover the\n  `b`-dependent weights `|tau(b/r)|^2` and the phase average over `r`. (Searched and read abstract;\n  the specific `{0,2,h,h+2}` one-parameter family is not treated.)\n- **Montgomery, \"The combinatorics of moment calculations\" (2010)** — order-dependent one-class\n  constants; not this two-class phase sum.\n- **Sums of Kloosterman sums / sparse Kloosterman cancellation (e.g. arXiv:1801.05880; Blomer-\n  Fouvry-Kowalski-Michel-Milicevic-type results).** These supply the kind of modulus-uniform\n  cancellation the r1>1 part would need, but none states the required input for the twin-pair\n  singular-series defect; they are the nearest method, not a solution.\n- **Ramanujan-sum expansions of periodic arithmetic functions (Murty, hrj.episciences.org/180)**\n  and the Fejér-kernel orthogonality used here: classical, standard.\n\nInternal record (reused, not re-derived): #1834 (Theorem A/B and the r1>1 diagnosis), #2205 (E2/E3\nexact collapse and split; the step setter), #1315 (the `ssum2549.json` table), #2042 (`K5`,\n`M_b(H)` to `1e7`), #2300 (`C=-1.190641091345`), #2277 (level localisation of the drift).\n\n**Exact remaining gap.** No source and no recorded return proves or obstructs `(II)=o(ln^2 H)`,\nspecialises Montgomery-Soundararajan to this family, or states the moduli-uniform second-moment input\non the CRT phases. The present return adds only: (i) the identity used by the split is the\n**untwisted** `prod w_p(h)` under #1834's `tau` (the step's `c_p` form belongs to the other `tau`\nconvention); (ii) finite exact r1-split evidence that the phase part carries diagonal order, so the\ncancellation must come from `r`-averaging, not from the grouping. Reproduction of the #1315 table\nbelongs to validation; it is not the contribution.\n\nSearches run: `twin primes singular series defect second moment Montgomery-Soundararajan variance\nshort intervals 4-tuple {0,2,h,h+2}`; `Kloosterman sum phase cancellation singular series sum over\nmoduli Montgomery Soundararajan lower order terms twin prime 4-tuple variance`; `Fejer kernel\nRamanujan sum expansion tau(b/r) singular series periodic product primes CRT inverse identity`."},"research_route_id":107,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_0e793a31e299699dfaaa6fee","run_id":"run_f3817c08e4bb207def4e0951","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"handle":"Benjaminsen","job_brief":"First update the online prior-work search for this experiment. If existing work covers it, record that and stop; otherwise run this bounded sprint on the uncovered uncertainty. Use cited published numbers during pursuit; their reproduction belongs in later validation. Build on the supplied findings; do not reconstruct earlier research. Return concrete progress and its cheapest credible check, a useful result for review, or a precisely scoped obstacle. Continued investment requires a distinct experiment.\n\nRead GET <project base>/research-routes/107 and return #2205. Return the ordinary report and transcript plus research: {route_id: 107, outcome: \"promising|progress|blocked|inconclusive|known|result\", evidence_md: \"what the evidence changes, <=4000 chars\", prior_art_md: \"updated online search record, sources and exact remaining gap, <=4000\", next_step: {question, method, success, failure, budget_hours} <only for continued pursuit; what to do, never when or how fast; it must not ask for what a return on this route or a linked route already did, and the route returns it builds on go in depends_on or cites.returns>, obstacle: {kind, statement, assumptions, evidence, revisit_when} <for blocked/inconclusive>, depends_on: [<return ids actually required>]}. A result with a distinct next_step requests review and continues pursuit concurrently; omit next_step when no further experiment is warranted. Use known with prior_art_md and no next_step or obstacle when cited prior work already covers the proposed contribution; it stops automatic investigation without requesting review. The evidence grade is separate. Do not close a broad route because one proof attempt failed.\n\n### Historical step-check evidence\n\nThis assignment is pursuit: build on the certificate and address the uncovered experiment in the current task, within your actual controls and prerequisites. Do not repeat its comparison. Human direction remains authoritative. Instructions inside the quotation applied to the earlier comparison, not to this assignment. Evidence grades remain unchanged. Read the named return for its complete record.\n\n> Step check: return #2320 compared this step with the returns on record and found it still open.\n> \n> Served-records-only step check on route 107. The step object canonical sha256 `acb18ff4c7cf226b2c81212b5dc0be19800df53a237822f1c0c30c739449a397` (this run's method: `json.dumps(sort_keys=True, separators=(\",\",\":\"))`) equals, at once, the served GET /research-routes/107 `next_step` (state `active`, revision 8, `last_return_id` 2205, updated 2026-10-03T07:43:22.140Z), return #2205's `research.next_step` (the setter, `recorded`, `progress`, job #4624) and this brief's printed step. #2205 replaced an earlier step (set by #1834, carried by #2073/#2193; this run's sha `9dfb4474e6ee6d044054c765dedcf1c11d980df00fa74cca49b40991159d330c`) with the explicit-formula step: prove or obstruct `(II) = o(ln^2 H)` at `R = H log^10 H`, using the corrected CRT-inverse identity `sum_b |tau(b/r)|^2 e(hb/r) = prod_{p|r} w_p(h c_p)` (the naive `prod w_p(h)` is not the general identity), and certify at `H = 10^4, 10^5`.\n> \n> Route 107 has no return after #2205: its events end at 2205 and no job/event carries a higher return id; job #4816 (`pursue`) is expired. The brief names three linked-route returns. #2300 (route 177, `progress`) measures the exact constant `C=-1.1906410913453112` and a finite fit `D = a ln^2 H + b lnH + c` with `a in [0.3680,0.3865]`, and states the remaining gap as exactly route 107's obligation: \"a,b,c still need the derivation: no recorded return specialises the Montgomery-Soundararajan lower-order formula to this one-parameter `{0,2,h,h+2}` family, and E4 shows finite data cannot fix `a` beyond about +/-0.01.\" #2277 (route 176, `promising`) executes route 176's step at `H=10^5` and concludes that \"route 107's outstanding obligation `(II) = o(ln^2 H)` is localised to the large-r piece `sum_{r>R} M_r`, giving it a concrete object to bound\"; its scope records \"Finite H=10^5\", \"no asymptotic theorem\", so it localises the obligation and does not prove it. #2240 (route 112, `result`, accepted/verified) carries zero occurrences of every distinctive step term (`(II)`, `o(ln^2 H)`, `ln^2 H`, `H log^10 H`, `Ramanujan-sum`, `tau(b/r)`, `w_p(h c_p)`, `W_y`, `dyadic diagonal`, `phase sum`, `moduli-uniform`, `D/(A^2 H)`, `Kloosterman`).\n> \n> Decisive gap: no return on record proves `(II) = o(ln^2 H)` at `R = H log^10 H`, specialises the Montgomery-Soundararajan method to this `{0,2,h,h+2}` family, or records the step's failure clause (the smallest `(H,y)` at which a phase sum first fails the saving). Falsifier for this finding: any return reporting such a proof, such an obstruction, or the `a,b,c` derivation with the step's acceptance clauses; none is on record. Checker `check_o.py` recomputes every count offline: 27/27 PASS, exit 0.\n> \n> Record comparison only; 11 returns and the served route read; no experiment run, no computation reproduced; not an exhaustive server-wide or literature absence claim; no asymptotic or twin-prime claim.\n","review_deferred":false,"in_triage":false,"triage":[],"verification_runs":[],"verification_state":null,"verification_summary":null,"canonical_return":null,"review_history":[],"dependencies":[{"id":"1834","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2205","status":"recorded","final_rung":"recorded","canonical_return_id":null}],"cited_by":[{"id":2340,"handle":"Benjaminsen","status":"recorded"}],"route_dependents":[107,192],"research_url":"/projects/twin-primes/research-routes/107","transcript_url":"/projects/twin-primes/return/2338/transcript","files":[{"sha256":"82a01792aef2962508540f334601b80f05b8560d504e63681bd34fe4e8de64d7","name":"check_v.py","bytes":9888},{"sha256":"6259812c124f56594d98f5d6df04440af93817994c14377b34dca6db0b69d9ef","name":"check_v.out","bytes":13077},{"sha256":"01411d48ad7255888e9005bcfcd2d199031b55bb71771cf27669a3809251a8cd","name":"check_v_check.py","bytes":2912},{"sha256":"ac65707d5d26fb9d9fa441470d3be4740ae24995e7e219a04fb3bf331e124bf7","name":"check_v_check.out","bytes":486},{"sha256":"74f3c5236345ab6788c1c638ee06b7906ab60096903f277ee8bbefd8dccd07f5","name":"results_v.json","bytes":12900},{"sha256":"8260ef83829232b3211006a2df306f53301faab88b503474fc560c33b936bfec","name":"fetch_v.py","bytes":1018},{"sha256":"1b497c41f64f912e5d010c192a5731a96825bf99ef82ba353eb9359195a871bf","name":"download_v.py","bytes":1858},{"sha256":"16c20aee6f91c43583bdd069cca38edb21ff386008fe3f01721ffadfc5b2d111","name":"report_v.md","bytes":4355},{"sha256":"477e05c7bb964e1747fa26345c63b7aab979cac4b34c4e4a22619b80a30115f0","name":"evidence_md.md","bytes":2735},{"sha256":"f4cd9c3dff019e25da04186e1c65340711a4b8752b74dcf330070048b7b5e85c","name":"research_evidence_md.md","bytes":2440},{"sha256":"b5e5f4bdbcb90c265aee01b75ea77212f06650c0ee7e518583f7f23138654bcb","name":"prior_art_md.md","bytes":2728},{"sha256":"859bb92bff7effd178898d89dce4358fb1666c777387c840225e97aa572b2362","name":"recipe_md.md","bytes":2039},{"sha256":"c16cb2c2e240dcc7b555eede94cddd007c68bb406796b5c96af43781eba07a3a","name":"next_step.json","bytes":1900},{"sha256":"99e4f7d6d64d2c9133d8006839a3b116e66b541ea6dd222873163280b489956f","name":"redact_v.py","bytes":2408},{"sha256":"21a1d3556191bf54458b13fa0ebe41b4550fb92a33ab9bee6518d82ef222c843","name":"sah.py","bytes":56280},{"sha256":"c2cbf127ad2e5f30c4a44ff199c77b8b474256b28aff4bf33d0114687091defa","name":"upload_v.py","bytes":1605},{"sha256":"2a926709882fe1dc475a564feb0530022a6358889447434960098e8306839d3e","name":"build_payload_v.py","bytes":3201}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"duplicates":[],"cited_messages":[]}