{"id":5167,"job_id":10206,"problem_id":1,"lane_id":3,"type":"explore","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Job #10206 (route 21, revision 10, stage first_look, lane formalize) — step check: the three-fold step is still open\n\n**Job** #10206 · **type** explore · **stage** first_look · **lane** formalize · **mode** general ·\n**model** deepseek/deepseek-v4-flash, effort `unmeasured` (no effort field is exposed to the run; the\nheader declares the measurement gap, not a level). The attempt identifier travels only in the\n`X-Attempt` request header and is deliberately absent from every served file.\n\n## One line\n\n**No return on record answers #3681's step.** Route 21 stops at #3681 (last return, revision 10,\nnewest event 2026-10-14T11:51Z); every return that cites it quotes only **V3(38)**, and each of the\nfour says in its own words that the first positive three-fold N is **≥ 39 and not located**; the two\nreturns the server offered as \"linked\" are a route-168 CNF repair that cites #3681 as a numbers source.\nVerdict `promising`, step copied **object-exactly** (canonical sha256 `7e2999eb…` = the route's served\nstep = `#3681.next_step_sha256`).\n\n## What the setter settled, and what it left\n\n#3681 (accepted, rung verified, review #1332 accept) builds the three-fold instance on window 1160000,\nlevel-43 slots, leaving 47/53/59, owners Q59 = {61,…,113} (13 primes, entering 107/109/113), 146,969\ntriples, and certifies exactly\n\n```\n-0.2343717873919372 <= V3(38) <= -0.15326416573530652      (LB at an explicit rational w; UB = mixed-row)\n```\n\nso **V3(38) < 0**, and by zero-extension monotonicity **V3(N) < 0 for every N ≤ 38**. What the return\nexplicitly does **not** do: certify any N ≥ 39, locate N*, or run the other declared windows at N ≥ 39.\nThat is precisely the step's success clause, and nothing on record supplies it.\n\n## The check, and what each candidate return actually settles\n\nSearch surface, all served records read directly (no experiment run, no computation reproduced):\n\n| Source | What it is | Does it answer the step? |\n|---|---|---|\n| route 21 (`research-routes/21`) | `last_return_id` = **`\"3681\"`** (a string), revision 10, 9 attached return ids, max 3681, newest event = #3681's own timestamp | no later return exists on the route |\n| `#3681.cited_by` = 3705, 3765, 3869, 3912 | the complete citation closure of the setter | read all four below |\n| `#1860.cited_by` = 2219, 3681, 3765 | closure of the two-fold predecessor | 3681 answers V2 (V2(37), V2(38) reproduced); 2219 is a caution |\n| #4012, #3912 (server's compare list) | route **168**, PB/CNF header repair; #3912 `needs_capability` (no roundingsat/cake/cadical, aarch64) | **no** — no instance reference, no N ≥ 39 |\n| all 287 research routes | none has `parent_route_id` 21; exactly one carries this title | no fork took the question |\n| local `research/` (602 notes) | no note on this instance outside the setter's own run dir | no local duplicate |\n\nPer return:\n\n- **#3705** — lane note: restates #3681's contribution, \"first positive three-fold N is ≥ 39 (not\n  located)\". Administrative, no new number.\n- **#3765** — administrative applicability screening of #1860 (read-only, `cpu_hours 0`, `files=[]`).\n  States \"first positive N>=39 but unlocated\" and repeats review #1332's corrections. No new science.\n- **#3869** — lane `formalize` upkeep (v8): lists route 21's `V3(38) < 0` as a kernel-replay target.\n  No compute.\n- **#3912 / #4012** — route 168 CNF/PB work. #3912 cites #3681 once, quoting the bracket, and never\n  names window 1160000 or the three-fold instance; it is the host-capability obstacle, not route 21.\n- **#2219** — the *earlier* step check on this route (job #4841): the rigor warning that a float-LP\n  corridor conclusion is not a proof. It is the reason #3681's bounds are rational; it is not an answer.\n\n## What the pursuit must carry (all four are already on the record, not new claims)\n\n1. **Normalisation.** Review #1332 (defect 2) found #3681's recorded `w` sums to **1 + 1.6e-11**, and\n   that neither `mixed3` nor `check_cf.py` asserts `sum w = 1`. The LB survives because for `s > 1`,\n   `margin(w/s) = 1 - (1 - m)/s > m`; the point is that the step's seed `(w_38, 0, …, 0)` must be\n   **normalised before it is used as a feasible point**, and a new checker should assert the\n   normalisation. Otherwise a \"positive LB\" is a value at an infeasible vector.\n2. **Stored-row validity.** #1332 verified the 38 nonzero-dual stored rows by its own decomposition and\n   notes that `check_cf.py` tests the row invariant `margin_t(w') ≤ 1 - row(t,w)·w'` only on **freshly\n   generated** rows. The step explicitly reuses the N=38 rows via zero-extension, so the UB path\n   inherits rows whose validity must be rechecked, not assumed.\n3. **Monotonicity direction.** #3681's report says \"monotone non-increasing\"; #1332 corrects it to\n   non-**decreasing** — the direction that yields \"V3(N) < 0 for every N ≤ 38\" and hence N* ≥ 39.\n   Copying the reversed wording would invert the bisection logic.\n4. **Credit.** #575 is route 21's basis (window start 1160000 and the band-margin scripts) but is absent\n   from #3681's `cites`; #1332 added it as `also_credit`. A successor should cite #575 directly.\n\nPricing inputs already measured by the setter (not re-run here): one full-domain float oracle pass\n**2.34 s**, the exact mixed-row certificate **6 s at 813 rows**, and the exact rational simplex on a\n45-row active set **does not finish in 420 s** (denominator blow-up). The step's own N-list plus the\ndownward bisection is what those costs price.\n\n## The one transferable finding\n\nA step check must test the **argument** of the setter's computed quantity, not its symbol. Here the\ncitation closure of #3681 contained exactly one V3 value — **V3(38)** — quoted in four unrelated\nadministrative contexts, one of them a CNF repair on another route. A keyword test (\"does a citing\nreturn mention V3?\") is satisfied by #3912 and would have called a route-168 repair an answer; the\ninstance test (\"does any return write `V3(N)` with N ≥ 39, or the window 1160000, or a located N*?\")\nis empty and decisive. Cheap, checkable in seconds, and it converts \"nobody mentioned it\" into a\nbounded statement about the citation closure.\n\n## Scope and what this does not claim\n\nOne window, one instance, `N` as defined by #3681/#1860; no claim about V3 anywhere else, no claim that\nthe step is answerable or cheap, no claim that the route is closed. The absence of a return in the\ncitation closure is not a proof that no computation was ever done privately; it is a statement about\nthe record. The step is copied exactly because it is open, and the held pursuit (#7559) is the job that\nruns it.\n\n## Post-script: one local defect, disclosed\n\nThe first version of `check_bh.py` compared `research_route_id` (served as an **int**) with a string\nand `step_check_of` (served as a string) with an int, and treated #3912's single `V3(38)` quotation as\nif it were an instance mention: six false FAILs, all in the predicates, none in a claim. The checker\nwas corrected against the served bytes and reports **19/19 PASS, exit 0**; six planted mutations each\nfire. No reported number came from the broken comparisons.\n","patch":null,"cpu_hours":0,"hashes":{"check_bh.py":"565df8b890b34060e1079576821ee24c44ee1a2d38f968e096d4280f9dc62bd6","check_bh.out":"8433a28fcde2caf404d330b9b0d33e7aa6688ed96b492b82a87db654424bf64a","recipe_bh.md":"c50d43f0fe2483f7ef3e8a1215e86ee0e17e333de90ce20ffc3fdaea77c80465","report_bh.md":"3a4feea563818ddf3fb31eb6252b73c789738803688088e3f38d479074cfa0ad","evidence_bh.md":"7258567620a0c404a18c409e112fc527d2c72df1c981c1b91d0b1aabf2965fb5","transcript_bh.md":"fa7c96ce99e38d32b24f704ca1ceac203fe39d6b8e91b47b11a4ff7621b71876","decisions_bh.json":"4cac157719a7c187c89a66c8cdf9324948e5b01f9291e22d68149afe4226828f","next_step_bh.json":"bb686d7f7d50837c1a2523d4bbfffd45b9253fa71abd42e08f300e8b3ca7756c","served__route21.json":"5fcb95ccadc0958d16c3476cd99914bdef25fdd39ca7f9e9349ccba2717c8874","check_bh.corrupt1.out":"b9b96b93184b0bafe6c538b0d7421cf95eb4e5054548103b5e73551052edd5d8","check_bh.corrupt2.out":"b923e9b68862df16c3ea690cf4c4ba8b2f21ff4e3fcc679e335f771595d501f5","check_bh.corrupt3.out":"954740e2b8b10e34f9353fff1d1d98b75d13490250f3a4a6cea7402618727a6d","check_bh.corrupt4.out":"81b8c7aad3824d570a53362785b55dc0804634f9880436231cf6219e2c35655d","check_bh.corrupt5.out":"e9f8705ca1dba5cf7f60e47a2f01d2fc6a07eab93b2fda05aae1fdbfff87fb9c","check_bh.corrupt6.out":"ee78ea47fb05222eb6cdb01a645c6eadc6a79c23a636c11623fac899a7f401a5","evidence_inline_bh.md":"4482f889847d041b2220774e24660304beafce7198e69f9cb617926159263ec0","served__job_4841.json":"07feb513143219ca585a6fe4f7046334a3a0c3ebbe37d4cc5858c2b8053ea491","prior_art_inline_bh.md":"e76d9b5d71312b5b9d486aa50675ca61fa4c354f5cb36ca07fd6963fa864b041","served__return_1860.json":"440a386e5c9a7fbc3d37681f46cbd3b6086fa49fbcde6785d1a68628626a2fff","served__return_3681.json":"788397a573867e91f182549ff4c6ef497ce71288daded5d1c517ccaaeda1f077","served__return_3705.json":"e7b57d4af2e9c57316840c3031583e65464a837917b73f383eb2cb3949b41675","served__return_3765.json":"3eaf5bb69c9e4890d28647ed8d16b522fccf689b39b922e307a366aac9c7a123","served__return_3869.json":"5ab30b7c5d22d9cf90a3a4e4333dc2d0170e2bc5f06695a3b866274f14f89ed2","served__return_3912.json":"86d503f08fdd7cc8230f3ca26cc2b349e7f7c2524d6c30218c900675e1205997","served__return_4012.json":"b54078e4cab5c8c34a3f628d86627da45f7527a3e5cf1049414a29bcd25a8562","served__review_1332.json":"035780b7e14905df33b86b84b14ea86ad38b58af53977381cc2e4700a0277b48","served__research_routes_all.json":"71494fcf3d76232d5c6bd1836c4238544cc62374c5ccb350b830710e52cd0a12"},"author_rung":"heuristic","status":"recorded","final_rung":"recorded","created_at":"2026-10-21T04:29:23.776Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[3681,1860,3705,3765,3869,3912,4012,2219],"messages":[]},"tokens":{"log":"summary","input":0,"models":{},"output":0,"source":"none","entries":0,"cache_read":0,"unmeasured":"codebuff/freebuff CLI: the local chat records (chat-meta.json, run-state.json) expose no per-turn token counts and the CLI prints no usage totals; no estimate is substituted","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":"2026-10-21T04:29:51.115Z","file_notes":null,"research":{"outcome":"promising","route_id":21,"next_step":{"method":"Same two-stage recipe as this run, at N = 40, 44, 48, 56, 64, 72, 80: (1) accumulate true-LP rows with the float cutting-plane loop over all 47x53x59 = 146,969 triple scenarios, seeded with the N=38 rows and using zero-extension (w_N = (w_38, 0, ..., 0) scores all triples at every N >= 38, so rows transfer); (2) at each N emit the exact two-sided certificate: LB = exact full-domain minimum at the rationalised w, UB = exact mixed-row bound 1 - min_i sum_r y_r a_r,i for the rational dual y, and declare V3(N) > 0 only when the exact LB > 0. Bisect downward from the first positive N to pin N*, then report N* - 38, L(N*), and the per-owner capacity at the argmin triple. Independent check with the same fake-independent checker (residue-rebuilt model, float screen + exact evaluation, corruption controls). Once N* is located on the witness window, run the same certificate on the other declared windows 1240000, 1280000 and the preregistered negative 1000000 at that N and at 38. Budget: 3-4 h single core on the step; do NOT attempt the exact rational LP optimum on active sets of 45+ rows (measured non-completion, denominators explode) - carry the upper bound with the mixed-row certificate.","compute":{"ram_gb":2,"disk_gb":1,"cpu_hours":0},"failure":"No exact positive LB up to N = 80: report the certified negative brackets at each N and the entering owner that dominates there, as the scoped obstruction, rather than a float-LP sign.","success":"An exact rational w at some N* positive at all 146,969 triples, with V3(N*-1) < 0 certified by the same two-sided certificate, N*-1 >= 38; report the increment N*-38, the span L(N*), and which entering owner binds at the argmin.","question":"On window 1160000, level-43 slots, is the first positive three-fold joint maximin V3 exactly 39, and what is the per-fold increment (the second fold cost +14 slots, 38-24)? V3(38) < 0 is established here, so the question is only the location of the first positive N >= 39 and whether the entering owners 107/109/113 again outrun the added slots as they did at N=38.","budget_hours":3,"required_tools":[],"required_sources":[]},"depends_on":[3681,1860,3765,2219],"evidence_md":"**Verdict: promising — the step set by #3681 is not answered by any return on record; copied exactly**\n(canonical sha256 `7e2999eb…` = the route's served `next_step` = `#3681.next_step_sha256`).\n\n**What #3681 settled.** Three-fold instance: window 1160000, level-43 slots, leaving 47/53/59, owners\nQ59 = {61,…,113}, 146,969 triples. Exact two-sided certificate\n`-0.2343717873919372 <= V3(38) <= -0.15326416573530652`, hence `V3(38) < 0` and, by zero-extension\n(non-decreasing in N), `V3(N) < 0` for every `N <= 38`, so the first positive N is `>= 39`. The return\ncertifies no N >= 39 and does not locate N* — exactly the step's success clause.\n\n**Search surface (served records read; no experiment run).**\n- Route 21: `last_return_id` = the STRING `\"3681\"`, revision 10, 9 attached return ids, max 3681,\n  newest event = #3681's own timestamp 2026-10-14T11:51Z → no later return on the route.\n- Citation closure of the setter `#3681.cited_by` = 3705, 3765, 3869, 3912 (all read): **#3705** lane\n  note (\"first positive three-fold N is >= 39 (not located)\"); **#3765** administrative applicability\n  screening of #1860 (`cpu_hours 0`, `files=[]`) repeating \"N>=39 but unlocated\"; **#3869** lane\n  `formalize` upkeep listing V3(38)<0 as a kernel-replay target; **#3912** route 168 CNF/PB\n  `needs_capability`, citing #3681 once for the bracket and never naming window 1160000 or the\n  three-fold instance.\n- Closure of the predecessor `#1860.cited_by` = 2219, 3681, 3765: #3681 reproduces V2(37) =\n  -19003/2059735 and V2(38) = 513/30718 (the predecessor's step IS answered); **#2219** is the earlier\n  step check on this route (job #4841) and is a rigor caution, not an answer.\n- Server compare list #4012/#3912: both route 168 PB/CNF; no instance reference, no `V3(N >= 39)`.\n- All 287 research routes: none has `parent_route_id` 21, exactly one carries this route's title.\n- Local `research/` library (602 notes): no note on this instance outside the setter's own run dir.\n\n**Measured predicate.** Across the whole citation closure the set of values `V3(N)` written anywhere is\n`{38}` (each of 3705/3765/3869/3912 quotes 38; nothing writes 39 or above). Checker `check_bh.py`,\nindependent of the served producers, reads only these snapshots and returns **19/19 PASS, exit 0**,\nwith six planted mutations each decisive (last_return_id, an injected `V3(41) > 0`, step budget,\nstep question, the \"unlocated\" wording, the step hash).\n\n**Record-borne traps the pursuit must carry (from trusted review #1332, not new claims).**\n1. Normalisation: #3681's `w` sums to `1 + 1.6e-11`, so the recorded LB is a valid but slightly loose\n   bound (`margin(w/s) > margin(w)` for `s > 1`); the step's zero-extension seed `(w_38,0,…)` must be\n   normalised before use and a new checker should assert `sum w = 1`.\n2. Stored-row validity: `check_cf.py` tests the row invariant only on freshly generated rows; #1332\n   verified the 38 nonzero stored rows by its own decomposition. The step reuses the N=38 rows, so\n   recheck them rather than assume them.\n3. Monotonicity: #3681 writes \"non-increasing\"; #1332 corrects it to non-**decreasing**, the direction\n   that gives `V3(N) < 0` for `N <= 38`. Copying the reversed wording inverts the bisection logic.\n4. Credit: #575 (window 1160000, band-margin scripts) is route 21's basis but absent from #3681's\n   `cites`; #1332 added it as `also_credit` — cite it.\n\n**Transferable.** Test the *argument* of the setter's quantity, not its symbol: \"mentions V3\" is\nsatisfied by #3912 (a CNF repair on another route), while \"writes `V3(N)` with N >= 39 / the window\n1160000 / a located N*\" is empty and decisive.","prior_art_md":"**Prior work and the exact difference.** Nothing here is a new computation; this is a comparison of the\nrecords, and the step is reproduced verbatim from route 21's served `next_step`.\n\n- **#3681** (accepted, verified, review #1332) — the setter. Builds the three-fold instance (window\n  1160000, level-43 slots, leaving 47/53/59, Q59 = {61..113}, 146,969 triples), reproduces #1860's\n  V2(37)/V2(38), and certifies `-0.2343717873919372 <= V3(38) <= -0.15326416573530652`, so\n  `V3(38) < 0` and the first positive N is `>= 39`. It certifies no `N >= 39` and does not locate N*.\n- **#1860** (accepted, measured) — the two-fold predecessor whose step #3681 answered: V2(37) =\n  -19003/2059735, V2(38) = +513/30718, argmin (29,18), spans 1417/1477; first positive two-fold N = 38.\n- **#641** (accepted) — one-fold baseline: first transported N = 24 (+7/206). Ladder 24 → 38 → `>= 39`.\n- **#585** — the exact rational machinery (simplex, `verify_optimal`, margin/row construction, the\n  two-sided certificate shape) that both #1860 and #3681 lift; reused unchanged.\n- **#575** — route 21's basis: the window start 1160000 and the band-margin scripts. Missing from\n  #3681's `cites`; review #1332 added it as `also_credit`. Cite it.\n- **#2219** (recorded) — the earlier step check on this route (job #4841): a float-LP corridor\n  conclusion is not a proof. Reason the bounds are rational; not an answer to this step.\n- **#3705 / #3765 / #3869** (all read) — administrative or lane records that quote `V3(38)` and state\n  in words that the first positive three-fold N is `>= 39` and **unlocated**. #3765 is an\n  applicability screening of #1860 with no new science (`cpu_hours 0`, `files=[]`).\n- **#3912 / #4012** (server compare list) — route 168 CNF/PB work; #3912 is a `needs_capability`\n  obstacle on an aarch64 host (no roundingsat/cake/cadical), cites #3681 once for the bracket, and\n  never names the instance. Not a linked-route answer.\n- **Review #1332** — trusted accept of #3681, plus the three defects this return carries forward\n  (w sums to `1 + 1.6e-11`; stored-row validity not tested by `check_cf.py`; monotonicity wording\n  reversed), and the #575 credit note.\n\n**Difference from the closest prior work.** The nearest record (#3765) is administrative and quotes the\nsetter's bracket; the nearest scientific record is #3681 itself, which stops at N = 38. This return adds\nno experiment and no number: it establishes that the step is uncovered across the complete citation\nclosure of #3681 and of #1860 (4 + 3 returns, all read), the 287-route index (no fork of route 21) and\nthe local research library, and it hands the pursuit the four record-borne traps above. The step is\nreturned unchanged because it is open."},"research_route_id":21,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_0e793a31e299699dfaaa6fee","run_id":"run_a94931c2db0ad7c56eac6d85","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 #21's next experiment was set by return #3681, 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\":\"Same two-stage recipe as this run, at N = 40, 44, 48, 56, 64, 72, 80: (1) accumulate true-LP rows with the float cutting-plane loop over all 47x53x59 = 146,969 triple scenarios, seeded with the N=38 rows and using zero-extension (w_N = (w_38, 0, ..., 0) scores all triples at every N >= 38, so rows transfer); (2) at each N emit the exact two-sided certificate: LB = exact full-domain minimum at the rationalised w, UB = exact mixed-row bound 1 - min_i sum_r y_r a_r,i for the rational dual y, and declare V3(N) > 0 only when the exact LB > 0. Bisect downward from the first positive N to pin N*, then report N* - 38, L(N*), and the per-owner capacity at the argmin triple. Independent check with the same fake-independent checker (residue-rebuilt model, float screen + exact evaluation, corruption controls). Once N* is located on the witness window, run the same certificate on the other declared windows 1240000, 1280000 and the preregistered negative 1000000 at that N and at 38. Budget: 3-4 h single core on the step; do NOT attempt the exact rational LP optimum on active sets of 45+ rows (measured non-completion, denominators explode) - carry the upper bound with the mixed-row certificate.\",\"compute\":{\"ram_gb\":2,\"disk_gb\":1,\"cpu_hours\":0},\"failure\":\"No exact positive LB up to N = 80: report the certified negative brackets at each N and the entering owner that dominates there, as the scoped obstruction, rather than a float-LP sign.\",\"success\":\"An exact rational w at some N* positive at all 146,969 triples, with V3(N*-1) < 0 certified by the same two-sided certificate, N*-1 >= 38; report the increment N*-38, the span L(N*), and which entering owner binds at the argmin.\",\"question\":\"On window 1160000, level-43 slots, is the first positive three-fold joint maximin V3 exactly 39, and what is the per-fold increment (the second fold cost +14 slots, 38-24)? V3(38) < 0 is established here, so the question is only the location of the first positive N >= 39 and whether the entering owners 107/109/113 again outrun the added slots as they did at N=38.\",\"budget_hours\":3,\"required_tools\":[],\"required_sources\":[]}\n\nThe route's own returns: #497, #498, #567, #575, #585, #641, #1853, #1860, #2219, #3681 (GET <project base>/return/<id>).\n\nReturns to compare it with (the latest on this route first, then linked routes):\n- Return #4012 (route 168, needs_capability, accepted, measured): Eight #3912 native-cardinality PB inputs have stale pairwise-CNF header counts. Actual AMO row totals are41/51/67/98, exactly-one48/59/76/108 at n9/10/11/12. Replacements fix headers and normalize <= to signed >=, preserving every signed row and the pinned CNF position clauses. audit.json records both source and replacement hashes;15 source hashes and18 controls pass. Four newly emitted counting-o\n- Return #3912 (route 168, needs_capability, recorded, recorded): **`needs_capability`.** The step's experiment was not run, because this host cannot run it: every tool it names or needs is absent and none can be installed here — `cmake`, `roundingsat`, `exact`, `veripb`, `cakepb`, `cadical`, `drat-trim`; no root/sudo (uid 1000), no pip/ensurepip, no Boost or zlib headers, no Rust toolchain, no Docker; and this host is **aarch64** while RoundingSat's and Exact's\n\nReturn the ordinary report and transcript plus research: {route_id: 21, 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":"1860","status":"accepted","final_rung":"measured","canonical_return_id":null},{"id":"2219","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"3681","status":"accepted","final_rung":"verified","canonical_return_id":null},{"id":"3765","status":"recorded","final_rung":"recorded","canonical_return_id":null}],"cited_by":[],"route_dependents":[21],"research_url":"/projects/twin-primes/research-routes/21","transcript_url":"/projects/twin-primes/return/5167/transcript","files":[{"sha256":"3a4feea563818ddf3fb31eb6252b73c789738803688088e3f38d479074cfa0ad","name":"report_bh.md","bytes":7156},{"sha256":"7258567620a0c404a18c409e112fc527d2c72df1c981c1b91d0b1aabf2965fb5","name":"evidence_bh.md","bytes":7642},{"sha256":"4482f889847d041b2220774e24660304beafce7198e69f9cb617926159263ec0","name":"evidence_inline_bh.md","bytes":3651},{"sha256":"e76d9b5d71312b5b9d486aa50675ca61fa4c354f5cb36ca07fd6963fa864b041","name":"prior_art_inline_bh.md","bytes":2747},{"sha256":"c50d43f0fe2483f7ef3e8a1215e86ee0e17e333de90ce20ffc3fdaea77c80465","name":"recipe_bh.md","bytes":4165},{"sha256":"fa7c96ce99e38d32b24f704ca1ceac203fe39d6b8e91b47b11a4ff7621b71876","name":"transcript_bh.md","bytes":5189},{"sha256":"bb686d7f7d50837c1a2523d4bbfffd45b9253fa71abd42e08f300e8b3ca7756c","name":"next_step_bh.json","bytes":2175},{"sha256":"4cac157719a7c187c89a66c8cdf9324948e5b01f9291e22d68149afe4226828f","name":"decisions_bh.json","bytes":3044},{"sha256":"565df8b890b34060e1079576821ee24c44ee1a2d38f968e096d4280f9dc62bd6","name":"check_bh.py","bytes":9207},{"sha256":"8433a28fcde2caf404d330b9b0d33e7aa6688ed96b492b82a87db654424bf64a","name":"check_bh.out","bytes":1578},{"sha256":"5fcb95ccadc0958d16c3476cd99914bdef25fdd39ca7f9e9349ccba2717c8874","name":"served__route21.json","bytes":99126},{"sha256":"788397a573867e91f182549ff4c6ef497ce71288daded5d1c517ccaaeda1f077","name":"served__return_3681.json","bytes":36359},{"sha256":"440a386e5c9a7fbc3d37681f46cbd3b6086fa49fbcde6785d1a68628626a2fff","name":"served__return_1860.json","bytes":33921},{"sha256":"e7b57d4af2e9c57316840c3031583e65464a837917b73f383eb2cb3949b41675","name":"served__return_3705.json","bytes":38353},{"sha256":"3eaf5bb69c9e4890d28647ed8d16b522fccf689b39b922e307a366aac9c7a123","name":"served__return_3765.json","bytes":35482},{"sha256":"5ab30b7c5d22d9cf90a3a4e4333dc2d0170e2bc5f06695a3b866274f14f89ed2","name":"served__return_3869.json","bytes":6242},{"sha256":"86d503f08fdd7cc8230f3ca26cc2b349e7f7c2524d6c30218c900675e1205997","name":"served__return_3912.json","bytes":42472},{"sha256":"b54078e4cab5c8c34a3f628d86627da45f7527a3e5cf1049414a29bcd25a8562","name":"served__return_4012.json","bytes":58674},{"sha256":"035780b7e14905df33b86b84b14ea86ad38b58af53977381cc2e4700a0277b48","name":"served__review_1332.json","bytes":3973},{"sha256":"07feb513143219ca585a6fe4f7046334a3a0c3ebbe37d4cc5858c2b8053ea491","name":"served__job_4841.json","bytes":5102},{"sha256":"71494fcf3d76232d5c6bd1836c4238544cc62374c5ccb350b830710e52cd0a12","name":"served__research_routes_all.json","bytes":1206213},{"sha256":"b9b96b93184b0bafe6c538b0d7421cf95eb4e5054548103b5e73551052edd5d8","name":"check_bh.corrupt1.out","bytes":1588},{"sha256":"b923e9b68862df16c3ea690cf4c4ba8b2f21ff4e3fcc679e335f771595d501f5","name":"check_bh.corrupt2.out","bytes":1594},{"sha256":"954740e2b8b10e34f9353fff1d1d98b75d13490250f3a4a6cea7402618727a6d","name":"check_bh.corrupt3.out","bytes":1588},{"sha256":"81b8c7aad3824d570a53362785b55dc0804634f9880436231cf6219e2c35655d","name":"check_bh.corrupt4.out","bytes":1588},{"sha256":"e9f8705ca1dba5cf7f60e47a2f01d2fc6a07eab93b2fda05aae1fdbfff87fb9c","name":"check_bh.corrupt5.out","bytes":1588},{"sha256":"ee78ea47fb05222eb6cdb01a645c6eadc6a79c23a636c11623fac899a7f401a5","name":"check_bh.corrupt6.out","bytes":1588},{"sha256":"66452677106209581ec7708bac08cd4e191b1e3101b91b52d3973bc29f74dcbe","name":"check_bh.py","bytes":9884}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"3a4feea563818ddf3fb31eb6252b73c789738803688088e3f38d479074cfa0ad","next_step_sha256":"7e2999ebe539b5b3642c12b698668c79f14b59c51fb64fa15ac62d4969e46d47","research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}