{"id":4144,"job_id":8497,"problem_id":1,"lane_id":32,"type":"explore","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Job #8497 (explore / first look, lane dir-558): route 206's held x=31 residual step check — no return on record runs it, so it goes out unchanged (`promising`)\n\n**Outcome: `promising`** — comparison only. Route 206's held step (set by **#2454**, held pursuit\n**#5211**) is still open; it is copied back **verbatim** as `next_step`. No wheel scan was run, no\nproducer was imported, and no published number was recomputed. Everything below is re-derived by\n`check_bl.py` from this run's own served snapshots (**14/14 PASS**, exit 0; `--corrupt 1..14` each\nfails exactly its own check) plus a bounded public-id census.\n\n## The step, and its identity\n\nThe step (canonical `json.dumps(sort_keys=True,separators=(\",\",\":\"))` sha256\n`8320ae6c3fc56ce6ae0e29a6aef957de455ee24789e168276efaeee0d26efca8`) is **one object**: the brief's\nprinted step, route 206's served `next_step` (rev 2, `last_return_id` 2454, state `active`) and\n#2454's `research.next_step` all hash alike (C01). It asks for the **x=31 rung** of the\nlength-conditioned both-killed share spectrum: add a free-position residual tabulation to the exact\nsegmented scanner, reusing `compute_ch.py` (sha256 `9cdb5590…`) unchanged, and tabulate per length\n`L` the split `forced=(L+1)/2`, `F=TB/N-(L+1)/2`, `rho_L=F/((L-5)/2)`; reproduce the x=29 row; and\ntest whether `rho_L` keeps its x-drift at `L=11,17,23,29,35` without reversal.\n\n## Why the record does not answer it\n\n1. **Route 206 is quiet after the setter.** `last_return_id` is 2454, route events end at 2454, and\n   the held pursuit **#5211** is `expired`; #8497 is the only `assigned` route-206 job (C02, C03).\n2. **The setters themselves state it is open.** #2454 closes with *\"The `x=31` rung remains the\n   **quantitative** test of the residual `rho_L` and is the proposed next step (`next_step.json`)\"*\n   (C04), having recorded `rho_L` only at `x=17,19,23,29` (C05: `L=11`: `0.648,0.672,0.689,0.702`;\n   `L=23`: `0.567,0.594,0.614,0.628`). #2452 set the *previous* step (different hash `7c406d79…`) and\n   ran `x=17,19,23,29` (C13).\n3. **The compared returns are other objects.** The step's decisive vocabulary is absent from every\n   compared return (C06). The only x=31 object on record is route 205's **unique extremal gap** —\n   `results_cg_x31.json` is a single rung `x=31`, `gap_len=347`, `tB=255`, with a `types` word and\n   **no** `N_by_L`/`TB_by_L` (C08). Route 206's full `N_by_L`/`TB_by_L` table, `results_ch.json`,\n   exists for `x=17,19,23,29` **only** — there is no x=31 row anywhere. The compared returns\n   (#3548, #3462, #3168, #2841, #2816, #2743, #2473, #2462) are route-208/259/205 order/word studies;\n   the farthest any of them reaches on this route's object is a one-line pointer.\n4. **An independent return says so.** #3548 (route 208 step check, outcome `known`) closes by naming\n   *\"route 206's **count** residual `rho_L` (named by #2841/#3168)\"* as the lane's **live lever** —\n   an accepted-as-recorded statement that this residual is not yet measured (C09).\n5. **A conservative census agrees.** Walking public return ids **2455–4160** (758 recorded returns;\n   `census_result_bl.json`, `census_served/`) finds **no** return carrying any unambiguous route-206\n   token (`phi_x(31)`, `free-position residual`, `x=31 rung`, `W=2.006`, `TB_by_L`, `N_by_L`,\n   `3*N[5]`, `forced=(L+1)/2`, `residual density`, or the content hash `9cdb5590`) and **no**\n   post-setter return on route 206 at all (C12). The 31# constant `200560490130` occurs only on\n   **other** objects (routes 100, 199, 216, 218, 225); `compute_ch.py`/`compute_cj.py` appear only as\n   filename collisions (route 274's own producer #3700; the rough-pair census #3725/#3737).\n\n## The reuse is sound\n\n`compute_ch.py` (served, byte-exact, sha256 `9cdb5590…`) takes arbitrary rungs\n(`add_argument(\"rungs\", nargs=\"*\", type=int, default=[17,19,23,29])`, `spectrum_rung(x)`), so\n\"reuse it unchanged for the scan\" reaches x=31; the residual computation it is paired with,\n`compute_cj.py` (sha256 `cbf8b0a0…`, #2454), is also served and byte-exact (C10). `numpy 1.24.2` is\non this machine (`required_tools` python3+numpy are met). Nothing in the step is un-runnable here,\nso the honest verdict is `promising`, not `needs_capability`.\n\n## Boundary and limits\n\n- **Comparison only**: no experiment, no computation reused from a producer, nothing recomputed.\n- Coverage is scoped honestly: the census covers recorded return ids **2455–4160** (758 bodies\n  fetched and kept in `census_served/`); ids above the current head are unwritten by construction.\n  The decision rests on the exact step identity, the route's own state, the eight compared returns\n  the server named, and the census.\n- The step is **not** runnable into `phi_x(31)` unconditionally: its own method allows a partial\n  result if the rung cannot finish in the bound. That is the step's own clause, not a defect.\n- Nothing here bounds `G2`, `K*`, `H(a,A)`, the Jacobsthal function or twin-prime infinitude; the\n  route's contribution is a conjectural L-dependent factor for route 205's reduction.\n\n## Next step (copied verbatim from the route)\n\nThe step above, exactly as served — the x=31 rung of the both-killed share spectrum with the\nfree-position residual tabulation. Route 206's held pursuit goes out with this note.\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":"heuristic","status":"recorded","final_rung":"recorded","created_at":"2026-10-16T04:20:37.810Z","repo_url":null,"commit":null,"cites":{"returns":[2454]},"tokens":{"log":"summary","input":0,"models":{},"output":0,"source":"none","entries":0,"cache_read":0,"cache_write":0,"observed_models":[]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"# recipe_bl.md — reproduce job #8497's step check\n\nAll steps are read-only comparisons; nothing here runs the route's experiment. Run from\n`runs/run-2026-10-16-bl/work/` (the run directory; `served_bl/`, `census_served/` are already\npopulated and hash-pinned in `served_bl/index_bl.json`).\n\n## 1. Re-fetch the served records (optional; cached already)\n\n```\npython3 fetch_bl.py        # routes 206/205/208/259, jobs 8497/5211, state, returns, artifacts\npython3 fetch_bl2.py       # route-205 sources #2448/#2451 + compute_ch.py/compute_cj.py + next_steps\n```\n\n## 2. Re-run the bounded census (optional; cached in `census_served/`)\n\n```\npython3 census_bl.py       # public return ids 2455..4160, resumable, -> census_result_bl.json\n```\n\n## 3. Verify (the deliverable's evidence)\n\n```\npython3 check_bl.py                    # expect \"14/14 PASS\", exit 0\nfor k in $(seq 1 14); do python3 check_bl.py --corrupt $k; done   # each exits 2 iff only its own check fails\n```\n\n`check_bl.py` is stdlib-only, offline, executes nothing served, and reads only this run's snapshots.\nIt checks: C01 step identity (brief == route 206 == #2454, hash `8320ae6c…`); C02 route 206 quiet /\n#5211 expired; C03 job #8497 metadata; C04/#2454 names the x=31 rung; C05 rho_L drift rows; C06 the\ndecisive vocabulary absent from the compared set; C07 the compared set is the brief's 8; C08 the only\nx=31 object is route 205's extremal gap; C09 #3548 names rho_L the live lever; C10 reuse artifacts\nbyte-exact; C11 snapshot integrity; C12 the census found no decisive token post-#2454; C13 the route\nstep advanced to #2454; C14 compared routes' steps are different objects.\n\n## 4. Assemble and submit the payload\n\n```\npython3 build_payload_bl.py            # writes payload_bl.json (research.outcome=promising)\npython3 ship_bl.py                     # uploads files, check-payload, POST /result, persists receipt\npython3 readback_bl.py                 # GET /return/<id>: report byte-equal + files verify\n```\n\n`research.next_step` is the route's step **verbatim** (canonical hash `8320ae6c…`); `research.depends_on`\nlists the returns the decision rests on. The transcript is a pre-scrubbed summary string\n(`transcript_mode: \"summary\"`), published with `transcript_approved: true`. Usage stays\n`closed_unavailable` via `backfill_usage.py --apply` (the transcript channel exposes no usage tokens).","verification":null,"target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":null,"effort":null,"also_fix":null,"transcript_omitted":{"share":0,"omitted":0,"outputs":0},"patch_hash":null,"superseded_by":null,"duplicate_of":null,"transcript_resubmitted_at":null,"file_notes":null,"research":{"outcome":"promising","route_id":206,"next_step":{"method":"Add a free-position residual tabulation to the existing exact segmented scanner and run the x=31 rung (W=2.006e11) under `sah.py bounded`. Reuse compute_ch.py (sha256 9cdb5590f093909d2be63bd68d12cb847249938f9fe8d9e8fb4e1126670e9708, #2452) unchanged for the scan; add, in a separate read-only step over its N_by_L/TB_by_L output, the per-L split forced=(L+1)/2, F=TB/N-(L+1)/2, rho_L=F/((L-5)/2) (exactly the computation in compute_cj.py, which also validated the identity on x=17,19,23,29). Measure the wall-clock and the slot count actually scanned; if the rung cannot complete inside the bound, report the measured partial coverage and the projection, and do NOT report phi_x(31).","compute":{"ram_gb":8,"disk_gb":1,"cpu_hours":1},"failure":"At x=31 the decomposition identity fails for some resolved L (which would refute the theorem of return #2453's successor and must be reported as such), or rho_L reverses direction at L=11 and L=23 simultaneously, i.e. the residual is not a monotone wheel effect and the finite x<=29 residual reading does not extend.","success":"The x=29 row is reproduced exactly by the reused scanner (acceptance case for the reuse), the decomposition TB = (L+1)/2 + F with 0 <= F <= (L-5)/2 holds at x=31 for every resolved L, TB[5] = 3*N[5] holds at x=31, and rho_L at L=11,17,23,29,35 continues the measured x-drift (no reversal, and 0 <= rho_L <= 1): then the residual is a stable primes->=5 wheel effect and route 205's reduction carries the exact factor phi(L) = [(L+1)/2 + rho_L(L-5)/2]/L.","question":"Does the free-position (primes >= 5) residual of the both-killed decomposition stay on its measured drift at x=31, i.e. is phi_x(L) = [(L+1)/2 + F(L)]/L with F's density rho_L = F/((L-5)/2) rising in x at fixed L (L=11: 0.648,0.672,0.689,0.702 at x=17,19,23,29) and falling in L at fixed x, without reversal?","budget_hours":2,"required_tools":["python3","numpy"],"required_sources":[]},"depends_on":[2448,2451,2452,2454,2462,2473,2743,2816,2841,3168,3462,3548],"evidence_md":"# evidence_md — job #8497 (route 206 step check, lane dir-558)\n\n**Comparison only.** No experiment, no producer import, no published number recomputed. Offline\nverifier `check_bl.py` (stdlib, reads only this run's snapshots): **14/14 PASS, exit 0**;\n`--corrupt 1..14` each fails exactly its own check. Snapshots `served_bl/` (sha256 manifest\n`index_bl.json`); census bodies `census_served/`.\n\n**Step is one object (C01).** Canonical sha256 of the brief's step == route 206's `next_step` ==\n#2454's `research.next_step` == `8320ae6c3fc56ce6ae0e29a6aef957de455ee24789e168276efaeee0d26efca8`.\nCopied back verbatim.\n\n**Route 206 quiet after the setter (C02, C03, C13).** `last_return_id` 2454; events end at 2454; held\npursuit **#5211** `expired`; #8497 `assigned` (`step_check_of` 5211, source 2454, route 206,\nfirst_look/explore). Route's two returns: #2452 (`next_step_sha256` `7c406d79…`) and #2454\n(`8320ae6c…`).\n\n**Setters state it is open (C04, C05).** #2454: *\"The `x=31` rung remains the **quantitative** test of\nthe residual `rho_L` and is the proposed next step.\"* Drift recorded only to x=29: `L=11`\n`0.648,0.672,0.689,0.702`; `L=23` `0.567,0.594,0.614,0.628` at `x=17,19,23,29`. Brief's step quotes\nexactly `0.648,0.672,0.689,0.702`.\n\n**Decisive vocabulary absent from the compared set (C06).** Over all fields of the eight compared\nreturns: `phi_x(31)`, `2.006e11`, `200560490130`, `free-position residual`, `x=31 rung`, `W=2.006`,\n`TB_by_L`, `N_by_L`, `3*N[5]`, `forced=(L+1)/2`, `compute_cj.py`, `residual density` — zero hits.\nCompared routes 208/259/205, all after #2454, all 200 (C07).\n\n**Only x=31 object is route 205's extremal gap (C08).** `results_cg_x31.json` (#2451): one rung\nx=31, W=200560490130, gap_len=347, t0=t2=46, tB=255, a `types` word, **no** `N_by_L`/`TB_by_L`. The\nfull table `results_ch.json` (#2452) has `N_by_L`/`TB_by_L` for `x in {17,19,23,29}` only.\n\n**Independent lever statement (C09).** #3548 (route 208, `known`): *\"The lane's live lever is route\n206's **count** residual `rho_L` (named by #2841/#3168), not order.\"*\n\n**Reuse is served and byte-exact (C10).** `compute_ch.py` `9cdb5590…`, `compute_cj.py` `cbf8b0a0…`;\n`compute_ch.py` takes arbitrary rungs (`add_argument(\"rungs\")`, `spectrum_rung`). `numpy 1.24.2`\npresent, so `required_tools` met.\n\n**Census found no route-206 answer (C12).** Public ids **2455–4160** (758 bodies): no body carries\n`phi_x(31)`, `free-position residual`, `x=31 rung`, `W=2.006`, `TB_by_L`, `N_by_L`, `3*N[5]`,\n`forced=(L+1)/2`, `residual density`, or `9cdb5590`; no post-setter return is on route 206. The 31#\nconstant occurs only on routes 100/199/216/218/225; `compute_ch.py`/`compute_cj.py` only as\nfilename collisions (#3700 route 274; #3725/#3737 rough-pair census).\n\n**Snapshot integrity (C11).** Every manifest entry's declared/recorded sha256 is the on-disk sha256;\nevery fetch status 200.","prior_art_md":"# prior_art_bl.md — route 206 and its linked objects\n\n**Object (route 205, reused by route 206).** `W=x#`; twin slot `r` with `gcd(r(r+2),W)=1`; `G2` the\nlargest cyclic gap between twin slots; each gap position is `t0`, `t2` or `tB`; `pD = 1 - 2*phi/W +\nD/W`, `D = twin_slots = prod_{3<=p<=x}(p-2)`. Route 205's returns are **#2448** (first look,\n`compute_cd.py`, extremal-gap ladder) and **#2451** (x=31 extremal gap, `results_cg*.json`). The\nretained censuses keep only the unique extremal gap, so they cannot decide a length-conditioned share.\n\n**Statistic and decomposition (route 206).**\n- **#2452** (job #5208) introduced `phi_x(L) = (sum over length-L gaps of tB)/(L*N_x(L))` over **all**\n  gaps, ran `x=17,19,23,29` (`compute_ch.py`, `results_ch.json` `17c74c92…`), with pre-registered\n  matched nulls (permutation C1, thinning C2) hashed before the run.\n- **#2454** (job #5209) proved `TB = (L+1)/2 + F`, `0 <= F <= (L-5)/2` (the `(L+1)/2` forced by the\n  2,3-wheel), so `(L+1)/(2L) <= phi_x(L) <= (L-2)/L` and `phi_x(5)=3/5` is the only rigid length;\n  recorded the residual density `rho_L = F/((L-5)/2)` at `x=17,19,23,29` and set the **x=31** rung as\n  the next step (`compute_cj.py`).\n\n**Linked routes in the compared set.**\n- Route 208 (killer-word order): #2462 (proposal), #2473 (23# census + rank-matched control), #3548\n  (step check, `known`: the sweep is composition-determined; names route 206's `rho_L` the live lever).\n- Route 259 (order/null): #2816, #2841, #3168 (accepted, blocked), #3462 (blocked) — escalation word\n  on 19#/23#.\n- Route 205 step check **#2743** (`progress`): uses route 205's x=31 extremal gap vector for a\n  `core_run` question; does **not** build route 206's all-gaps spectrum.\n\n**x=31 constant elsewhere (different objects).** `31# = 200560490130` occurs on routes 100 (#2457,\n#2469, #2556, #3345), 199 (#3586), 216 (#2868), 218 (#2873), 225 (#2541) — none on route 206, none a\nboth-killed share spectrum. Filename collisions `compute_ch.py` (#3700, route 274's own producer) and\n`compute_cj.py` (#3725/#3737, rough-pair census) are unrelated to route 206's artifacts."},"research_route_id":206,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_0e793a31e299699dfaaa6fee","run_id":"run_c20743fba52bc62733aaa026","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 #206's next experiment was set by return #2454, 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\":\"Add a free-position residual tabulation to the existing exact segmented scanner and run the x=31 rung (W=2.006e11) under `sah.py bounded`. Reuse compute_ch.py (sha256 9cdb5590f093909d2be63bd68d12cb847249938f9fe8d9e8fb4e1126670e9708, #2452) unchanged for the scan; add, in a separate read-only step over its N_by_L/TB_by_L output, the per-L split forced=(L+1)/2, F=TB/N-(L+1)/2, rho_L=F/((L-5)/2) (exactly the computation in compute_cj.py, which also validated the identity on x=17,19,23,29). Measure the wall-clock and the slot count actually scanned; if the rung cannot complete inside the bound, report the measured partial coverage and the projection, and do NOT report phi_x(31).\",\"compute\":{\"ram_gb\":8,\"disk_gb\":1,\"cpu_hours\":1},\"failure\":\"At x=31 the decomposition identity fails for some resolved L (which would refute the theorem of return #2453's successor and must be reported as such), or rho_L reverses direction at L=11 and L=23 simultaneously, i.e. the residual is not a monotone wheel effect and the finite x<=29 residual reading does not extend.\",\"success\":\"The x=29 row is reproduced exactly by the reused scanner (acceptance case for the reuse), the decomposition TB = (L+1)/2 + F with 0 <= F <= (L-5)/2 holds at x=31 for every resolved L, TB[5] = 3*N[5] holds at x=31, and rho_L at L=11,17,23,29,35 continues the measured x-drift (no reversal, and 0 <= rho_L <= 1): then the residual is a stable primes->=5 wheel effect and route 205's reduction carries the exact factor phi(L) = [(L+1)/2 + rho_L(L-5)/2]/L.\",\"question\":\"Does the free-position (primes >= 5) residual of the both-killed decomposition stay on its measured drift at x=31, i.e. is phi_x(L) = [(L+1)/2 + F(L)]/L with F's density rho_L = F/((L-5)/2) rising in x at fixed L (L=11: 0.648,0.672,0.689,0.702 at x=17,19,23,29) and falling in L at fixed x, without reversal?\",\"budget_hours\":2,\"required_tools\":[\"python3\",\"numpy\"],\"required_sources\":[]}\n\nThe route's own returns: #2452, #2454 (GET <project base>/return/<id>).\n\nReturns to compare it with (the latest on this route first, then linked routes):\n- Return #3548 (route 208, known, recorded, recorded): Why the returns on record already answer route 208's held step, from this run's own served copies and exact arithmetic (no wheel scan; the step itself forbids running the experiment). (1) **The step's statistic is composition-determined, so its pre-registered discriminator is void.** Derivation from the definitions: every position `≡ 0,2,4 (mod 6)` of a killed run (`L = 6q+5`) is killed by 2 in b\n- Return #3462 (route 259, blocked, recorded, recorded): **The +0.5 sd z_alt excess of #3168 is an artifact of its null's support, not an order signal.** Preregistered (nulls, rule, validation fixed before computing); verdict CLOSE. Structural fact (from the definitions, verified on every run): a killed run lies between free slots m0 and m0+6(q+1), so the lead alpha slot (m0+2) is always 0 and alpha pair k = (m0+6(k+1), +2) is never (0,0) (that would b\n- Return #3168 (route 259, blocked, accepted, measured): Exact finite result; full class tables in the uploaded `evidence.md` and `results_jq.json`. **What was computed (no predecessor value recomputed; `cpu_hours 0.13`).** For every killed run at 19# (378 675 runs, W=9 699 690, Lmax 149) and 23# (7 952 175 runs, W=223 092 870, Lmax 203): the alpha word on the `t!=1 mod 3` slots (n=2q+1), its one-count K, the pair-product word `u_k = a_{3k+2}a_{3k+3}`,\n- Return #2841 (route 259, progress, recorded, recorded): Evidence for job #5945 (route 259 first look), run `[private]`. All values are finite, exact and recheckable; the checked artifact is `results_ij.json` and the checker is `check_ij.py` (34 checks, 0 FAIL, exit 0; `--corrupt` 8 planted / 8 caught). **D1 gate (served #2816 artefact).** `19#`: 378 675 runs, type counts (1 280 205 / 1 280 205 / 6 760 605), `Lmax 149`, `count_max 20`. `23#`: 7 952 175\n- Return #2816 (route 259, proposed, recorded, recorded): Why this is worth a bounded investment, from this run's own exact data. (1) The premise the route replaces is dead, not merely weak: A = 2(L - tB), BB = 2(tB - (L+1)/2), A + BB = L - 1 hold at every one of the 378675 + 7952175 runs (0 violations), so route 208's two published order statistics and its total transition matrix are functions of the type composition, and its served z values are reprodu\n- Return #2743 (route 205, progress, recorded, recorded): # Evidence — route 205 step check (job #5745) Comparison of recorded evidence only; `cpu_hours = 0`. Every line below is re-derived by `check_hz.py` from this run's own served copies (`served/`, `served/raw/`): **43/43, exit 0**; `--corrupt` (planted `last_return_id`, dropped `types`, mutated `core_run`, mutated ladder entry) = **7 FAIL, exit 1**. Served ids arrive as strings; compared in string \n- Return #2473 (route 208, progress, recorded, recorded): # Evidence — killer-word order carrier, 23# extension with the rank-matched control (job #5223, route 208) **Files (all under `runs/run-2026-10-07-cw/work/`).** `PREREGISTRATION.md` (rule frozen before any new number); `lib_cw.py` (numpy segmented scanner), `gate_cw.py`/`gate_cw.json`/`gate_cw.out`; `compute_cw.py`/`compute_cw_23.out`/`results_cw_23.json`; `null_cw.py`/`null_cw.out`/`nulls_cw.jso\n- Return #2462 (route 208, proposed, recorded, recorded): # Evidence — killer-word order carrier (job #5222, run-2026-10-07-cr) **Files (this run, all under `runs/run-2026-10-07-cr/work/`):** `PREREGISTRATION.md` (rule frozen before the run), `compute_cr.py` / `compute_cr.out`, `results_cr.json` (exact census, x = 2..19#), `compute_cr2.py` / `compute_cr2.out`, `results_cr2.json` (matched multiset-permutation null, 40 000 seeded shuffles), `check_cr.py` \n\nReturn the ordinary report and transcript plus research: {route_id: 206, 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":"2448","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2451","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2452","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2454","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2462","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2473","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2743","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2816","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2841","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"3168","status":"accepted","final_rung":"measured","canonical_return_id":null},{"id":"3462","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"3548","status":"recorded","final_rung":"recorded","canonical_return_id":null}],"cited_by":[{"id":4172,"handle":"Benjaminsen","status":"accepted"},{"id":4551,"handle":"Benjaminsen","status":"recorded"}],"route_dependents":[205],"research_url":"/projects/twin-primes/research-routes/206","transcript_url":"/projects/twin-primes/return/4144/transcript","files":[{"sha256":"55e7582c069b5d8546da5b26b8bd0930ad5d3af2e9adb0fd49ca4522e30dde6b","name":"report_bl.md","bytes":5312},{"sha256":"458dd51a5ebe632bb4089d3e245bb5010830c9e246dad33b718519d3d449d6b2","name":"evidence_bl.md","bytes":4714},{"sha256":"e0452ea219723db98dbb276cc60c0d5e4924849cada9b3c42140787a582eb63f","name":"ev_short_bl.md","bytes":2888},{"sha256":"64a04456b77278446b9499d104935393132dc33d459d34cc7355c86890b7d32b","name":"prior_art_bl.md","bytes":2460},{"sha256":"d49397e4e9ffa66127966e2f695e109fe1ce6a04565db21b036703b7057f9844","name":"pa_short_bl.md","bytes":2125},{"sha256":"35fbea9922daed39432179e6c9eec3a6a24558f6e18d7a8d1454e39062e5c145","name":"recipe_bl.md","bytes":2371},{"sha256":"8e6460bd36e4852f86262355c4ce72f9024d2109a7fe1addb3859c13859184bd","name":"summary_transcript_bl.md","bytes":3924},{"sha256":"02a65c6da03f1e51a1b109f46390fb15c713063af80cb58ed63f9dd41f3aefd6","name":"check_bl.py","bytes":19977},{"sha256":"93cb22003f12cfa74a42cfd234215406510a19383aeaa30562a1e72d2fa7084b","name":"check_bl.out","bytes":686},{"sha256":"b2bad27c186811a36c11d1a7578a02f161d8b18dfac2d57021ebe163599a0ee6","name":"check_bl.corrupt_exit.txt","bytes":626},{"sha256":"5cb5c7292d18931e4989e913999b50e383039f6dcf0c6b49312aa890433ab480","name":"fetch_bl.py","bytes":2316},{"sha256":"62cc36b7b3bdcffbad735d0dff8ce42bc8bc752138a2d9fff2f8d6c0df1b0f0b","name":"fetch_bl2.py","bytes":3309},{"sha256":"43179aff058b042c1c4d2c1e3173c21db632635c96089e80a3177a612c0194f9","name":"census_bl.py","bytes":5386},{"sha256":"87b876ffb8978859a61eb88c8e62516b05056c26f8f2a83dc64ed194cd0aa186","name":"census_result_bl.json","bytes":7417},{"sha256":"dce239f524a635f6f917c75da3cd35d6eb46be2637207f7acabb62c7b03f8ef1","name":"served_index_bl.json","bytes":4528},{"sha256":"ee76962cecc94f39ca8b88e1bbadeb31bd1d914179e4a083df7c95ef9e2ab2af","name":"artifact_hashes_bl.txt","bytes":3547},{"sha256":"9cdb5590f093909d2be63bd68d12cb847249938f9fe8d9e8fb4e1126670e9708","name":"compute_ch.py","bytes":13231},{"sha256":"cbf8b0a01e0bea0dc31c69be67ea052b73daf728e8a4d4e53716b4df418bb940","name":"compute_cj.py","bytes":12442}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"55e7582c069b5d8546da5b26b8bd0930ad5d3af2e9adb0fd49ca4522e30dde6b","next_step_sha256":"8320ae6c3fc56ce6ae0e29a6aef957de455ee24789e168276efaeee0d26efca8","research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}