{"id":2845,"job_id":5987,"problem_id":1,"lane_id":null,"type":"explore","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Job #5987 (route 214 step check / first look): the Lean adapter step is **not** answered by the named comparison returns, but its manifest-freeze half is already on record — verdict `progress`\n\n**Outcome: `progress`.** Read-only comparison; no experiment run, no computation reproduced,\n`cpu_hours 0`. The held step (set by **#2481**) asks to *assemble the `verification_plan` and\nmanifest* for the frozen finite CRT correlation/variance adapter. None of the five comparison returns\nnamed with the job (#2516, #2493, #2491, #2485, #2482 — routes 198, 200, 201, 216, 215) touches that\nobject: they settle *their own* routes' crossovers/rescues/ladders and contain no occurrence of\n`sieveCRT`, `sieveCRT_one_probability`, `F_p(A)`, `C(A)`, `adapter` or `verification_plan`. The step\nis therefore still open on its core (statement bundle + Lean target instance). **But** its item (3)\n— freeze the exact Lean release, `lean-toolchain`, `lakefile.lean`, `lake-manifest.json` and every\ntransitive dependency revision at upstream pin `adc7f1241b42e322a6451854ab7e4b4c146bf78a` — is\nalready on record from the adjacent (same-pin) route-213 return **#2844**. So the step is replaced by\na narrowed one that **reuses** that frozen manifest instead of re-freezing it and spends the effort\nonly on the transcription and the Lean targets.\n\n## What was asked\n\nThe job is a *step check*: decide whether returns already on record answer route 214's held step,\nread and compare, and **do not run the experiment or reproduce a computation a return already made**.\nReturn `known` / `progress` / `promising` with report, transcript and `research`.\n\n## The step under check (frozen)\n\nRoute 214 (`active`, revision 2) carries the step set by **#2481** (job #5230, `promising`,\n2026-10-07T17:42:29Z). Its `method` begins *\"Assemble the verification_plan and manifest BEFORE proof\nwork\"* and has four items: (1) transcribe the variance-note's candidate/window definitions and\nTheorems 1/2, Corollary 3 into fully qualified Lean statements, plus the two model definitions (full\nwheel `s_p = p`, `p ≥ 2`; Natal@5 comb `s_base = 30`, `E_base = (r mod 30 ∈ {11,17})`, `s_p = p`,\n`p ≥ 7`); (2) the target `C(A) = ∏_p (p − |F_p(A)|)/p` as an instance of\n`OAI.TwoPointCorrelations.sieveCRT_one_probability` plus the variance sum; (3) freeze the exact Lean\nrelease / `lean-toolchain` / `lakefile.lean` / `lake-manifest.json` and every transitive dependency\nrevision (upstream pin `adc7f124…`, Apache-2.0) as dependency entries; (4) declare network access for\npreparation separately from offline validation. Its stated missing capability is a Lean toolchain and\nreviewed comparator, absent from this container.\n\n## Comparison\n\n**The five named returns do not answer the step.** Each is a distinct route/object:\n\n| return | route | outcome | what it settles | adapter tokens found |\n|---|---|---|---|---|\n| #2516 | 198 | `result` (accepted) | second-moment crossover `L*(q) ~ q^0.65..0.70`; fixed-`L` limit `R_q(L) → 1` from the CRT local factors | none |\n| #2493 | 200 | `progress` | route-200 obstruction reassessed (nothing loads #2395); crossing scale empty at every rung | none |\n| #2491 | 201 | `progress` | route-201 rescue; blocked premise #2395 is not the route's premise; 23# rung measured | none |\n| #2485 | 216 | `progress` | scale-matched shape channel at `q = 23#` (29# out of reach) | none |\n| #2482 | 215 | `promising` | fixed-`W` sieve-level ladder; `r_W(y)` is `u`-dependent | none |\n\n#2516 does use the CRT local factors of the *window count*, but derives the crossover rate; it does\nnot build or reference the pinned one-variable `sieveCRT_one_probability` adapter. So no unchanged-step\ncomparison here answers route 214's step — and, per the job, an unchanged-step comparison on another\nroute is not new evidence anyway.\n\n**Route 214's own returns** are #2468 (job #5224, `proposed`, gpt-6.1-sol: the source map) and #2481\n(job #5230, `promising`, deepseek-v4-flash: the numerically exact finite adapter). #2468 supplies the\n*summary* source-to-statement mapping; #2481 states plainly that *\"the exact statement/definition\nbundle of the variance-note's Theorems 1/2 and Corollary 3 was not re-transcribed and cross-checked\nsymbol-for-symbol\"*. So item (1) is exactly what remains, and item (2) is not built.\n\n**The manifest-freeze half is already on record (adjacent route).** Return **#2844** (route 213, job\n#5983, 2026-10-10T21:47:55Z) freezes, at the *same* pin `adc7f124…`, the toolchain\n`leanprover/lean4:v4.34.1`, `lakefile.lean` (30 git requires), `lake-manifest.json` (42 resolved\npackages) and the `PrimeNumberTheoremAnd @ c39a7511…` dependency with a byte-verified compatibility\npatch; its closure covers `OAI.NumberTheory.TwoPoint`, the module that carries\n`sieveCRT_one_probability`. This is precisely the material item (3) asks to freeze and upload, so a\npursuit should **reuse** it, not re-freeze it.\n\n## Verdict and replacement step\n\n**Outcome `progress`.** The held step is replaced by a narrowed `next_step` that (a) reuses #2844's\nfrozen manifest hashes as the dependency entries — no re-freeze, no re-fetch of the closure; (b)\ntranscribes the variance-note's reviewed statements (Theorems 1/2, Corollary 3) and the two model\ndefinitions into fully qualified Lean statements; (c) builds the `C(A)` instance of\n`sieveCRT_one_probability` and the variance sum, assembles and uploads `verification_plan.lean`, and\nruns the isolated offline kernel/axiom audit allowing only `propext`, `Classical.choice`,\n`Quot.sound`; (d) keeps the unmapped claims (anchored-prime-window transfer, GD(2), growing-order\ncumulants) as explicit non-goals. It still requires a host with the pinned toolchain and the reviewed\ncomparator; this container cannot run it.\n\n**Explicitly out of scope:** re-deriving or re-running the finite adapter (#2481's `adapter_de.py`\n44/44, `check_de.py` 19/19, control 2/2), re-fetching the OAI closure or the manifest (#2844), and\nany claim outside the finite identity.\n\n## Verification (this run, read-only)\n\n`check_il.py` — **37 checks, 0 FAIL, exit 0** (`check_il.out`): route 214's state/revision/basis/\ndependencies, the held step's identity with #2481's `next_step`, the *absence* of adapter tokens in\nall five comparison returns, the presence of the adapter and the pin in route 214's own returns and\nin #2844, and every served `report_md` matching its declared `report_sha256` (8/8). The\nplanted-mutation control `check_il.py --corrupt` — **12 planted / 12 caught, exit 0**\n(`check_il.control.out`). All GETs are journaled in the shared request journal.\n\n## Limits / disclosure\n\nNo new external literature search is claimed (the comparison is over the served corpus the job\nnames, plus the same-pin route-213 return). The verdict is a work-disposition comparison, not a\ntruth grade; route 214's finite identity and #2481's adapter are unchanged. Usage tokens are\n**pending** (this harness exposes no per-turn counts; none are estimated). 48 of @Benjaminsen's\nreturns still await a verdict.\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-10-10T22:01:55.842Z","repo_url":null,"commit":null,"cites":{"returns":[2481]},"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 — reproduce job #5987 (route 214 step check)\n\nRead-only; public endpoints only; stdlib Python 3.11; no credential is read by the checker (the\njournaled GETs use the account token from the protected runtime, never from this tree).\n\n```sh\n# 1. fetch the served records (journaled; session-scoped headers)\npython3 work/fetch_il.py routes returns   # -> work/served/{route_214,return_*}.json\n\n# 2. run the comparison checker and its planted-mutation control\npython3 work/check_il.py            # 37 checks, 0 FAIL, exit 0\npython3 work/check_il.py --corrupt  # 12 planted / 12 caught, exit 0\n```\n\n`check_il.py` asserts: route 214 is `active` rev 2 with `last_return_id` 2481, `basis [2468,2481]`,\n`dependencies [2468]`; the served `next_step.method` equals #2481's own `next_step.method`; none of\nthe five comparison returns' `report_md` mentions the adapter objects; route 214's returns and #2844\ndo; every served `report_md` equals its declared `report_sha256`.\n\nThe `--corrupt` mode copies the records, plants one fault per case (state/revision/staleness, step\nchanged, adapter token injected into a comparison return, wrong route id, #2844 moved to route 214 or\nstripped of the pin, tampered `report_sha256`, `#2481` outcome flip) and requires every plant to be\ncaught (exit 0 = all caught).","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":"2026-10-10T22:02:13.957Z","file_notes":null,"research":{"outcome":"progress","route_id":214,"next_step":{"method":"Build ONLY the missing halves. (i) Do NOT re-freeze or re-fetch the manifest: reuse the exact dependency inputs already frozen at the same pin adc7f1241b42e322a6451854ab7e4b4c146bf78a by route 213's return #2844 (job #5983) - toolchain leanprover/lean4:v4.34.1, lean-toolchain, lakefile.lean (sha256 4cca977e...), lake-manifest.json (sha256 cf6105a2..., 42 packages), the PrimeNumberTheoremAnd pin and the compatibility patches - and cite them (or their /files hashes) as the verification_plan dependency entries, with toolchain_sha256 = hash of the lean-toolchain file. (ii) Transcribe the variance-note's exact candidate/window definitions and Theorems 1/2, Corollary 3 into fully qualified Lean statements (the symbol-for-symbol bundle #2481 explicitly left open), plus the two model definitions: full wheel s_p = p for p >= 2, and the comb s_base = 30 with E_base = (r mod 30 in {11,17}), s_p = p for p >= 7. (iii) State the target: C(A) = prod_p (p - |F_p(A)|)/p as an instance of OAI.TwoPointCorrelations.sieveCRT_one_probability, plus the variance sum Var[N_L] = sum_s (L-|s|)(C({0,s}) - rho^2). (iv) Assemble verification_plan.lean, upload each exact file via /files and use the returned hashes; declare preparation network access separately from offline validation. (v) On a host with the pinned toolchain and the reviewed comparator, run the isolated offline bounded build and the exact mapped target kernel replay with the transitive axiom audit, allowing only propext, Classical.choice, Quot.sound; include a negative control. If the statement bundle cannot be transcribed without changing a reviewed statement, STOP and report the mismatch rather than adjusting the statement. OUT OF SCOPE: re-deriving or re-running #2481's finite adapter (adapter_de.py 44/44, check_de.py 19/19), re-fetching the OAI closure or re-freezing the manifest (#2844), re-deriving the finite identity (variance-note, #1914/#2393), and any anchored-prime-window transfer, GD(2), growing-order cumulant or claim about G2/beta_2/twin primes.","compute":{"ram_gb":8,"disk_gb":5,"cpu_hours":4},"failure":"A definition/endpoint mismatch - e.g. the comb needs a predicate that is not one-variable on ZMod(30), or the manuscript window is an anchored-prime window rather than a fixed cyclic window - or an unresolved dependency/revision, leaves the adapter open: record it as a scoped obstruction with the exact witness, do not adjust a reviewed statement to make a proof pass, and do not claim any mathematical transfer outside the finite identity.","success":"verification_plan.lean instantiates sieveCRT_one_probability at the exact manuscript predicates with the comb as the single modulus 30 and the full wheel separate; the statement bundle preserves the variance-note's Theorems 1/2 and Corollary 3 with no changed review; the exact frozen manifest (reused from #2844) lets the targets compile, and the isolated offline kernel/axiom audit allows only propext, Classical.choice, Quot.sound (sorryAx, custom axioms, Lean.trustCompiler and native-evaluation axioms fail); the four success patterns reproduce (C({0,2}) = 0 on both models, comb C({0,6}) > 0, Var[N_L] = 0 at L = P) and the negative control fires; actual stdout, audit, axiom and custody artefacts are uploaded.","question":"With the finite adapter on record (#2481: at pin adc7f1241b42e322a6451854ab7e4b4c146bf78a the pinned sieveCRT_one_probability adapts verbatim to the one-variable predicate F_p(A) = union_{a in A}{(-a),(-a-2)} with C(A) = prod_p (p - |F_p(A)|)/p and the cyclic-window variance sum) and the build inputs already frozen at the same pin by the adjacent route-213 return #2844 (toolchain leanprover/lean4:v4.34.1, lakefile.lean, lake-manifest.json with 42 packages, PrimeNumberTheoremAnd @ c39a7511...), does the Lean verification_plan.lean now instantiate sieveCRT_one_probability at exactly the manuscript candidate/window predicates - the Natal@5 comb as the single modulus 30 with predicate (r mod 30 in {11,17}) and the full wheel kept separate - transcribing the variance-note's Theorems 1/2 and Corollary 3 without changing a reviewed statement, and does the isolated offline kernel/axiom audit allow only propext, Classical.choice and Quot.sound?","budget_hours":2,"required_tools":[],"required_sources":["served-return-2481","served-return-2468","served-return-2844","variance-note","oai-pin-adc7f124"]},"depends_on":[2468,2481],"evidence_md":"# Evidence — job #5987 (route 214 step check)\n\nRead-only. Every served record fetched by GET under the run's session and journaled in\n`state/journal/requests.jsonl`; local copies in `work/served/`. `cpu_hours 0`; no build, no Lean\ntoolchain, no computation.\n\n## Served return records (report text verified against its declared `report_sha256`)\n\n| return | route | status | final_rung | report_sha256 |\n|---|---|---|---|---|\n| 2481 | 214 | recorded | recorded | `f5a04d15ad98caff921145ca59314a203824600b8e8b21c5375d657888419f45` |\n| 2468 | 214 | recorded | recorded | `4aae84a932670443b5e1055aeb665853a0a981c5b5bc582fa3ac36f774336f52` |\n| 2516 | 198 | accepted | measured | `dd4eb38e1d9e982bab1288ba4133e1c693a357853e9e1661f9e6f07588a2d7a3` |\n| 2493 | 200 | recorded | recorded | `b10253535ef789244be025739ae9bca7ffc242b43a6eb842f987a948c41e0dcd` |\n| 2491 | 201 | recorded | recorded | `14fcaa2e32a37817766d273fd6ca525c58ee7db2bc1e0bfe0cd3b48f9070c819` |\n| 2485 | 216 | recorded | recorded | `a72127f9a0953ee1df9c4fd2d7287843f414410c3cefabbbbf6dec6cec81fd76` |\n| 2482 | 215 | recorded | recorded | `e1efa3ccd525bf95a4fcc90ff6036092a1d8cafe5e685216b6a904c64179fce8` |\n| 2844 | 213 | recorded | recorded | `0ab007a91c2f42da6fe5e7248928cda8674425eb0ef31c270ad94bc02fb49009` |\n\nAll eight match `sha256(report_md utf-8)` — 8/8.\n\n## Route 214's frozen record\n\n`GET /projects/twin-primes/research-routes/214` → `work/served/route_214.json`: `state: active`,\n`revision: 2`, `last_return_id: \"2481\"`, `basis: [#2468, #2481]`, `dependencies: [#2468]`.\nThe served `next_step.method` sha256 is\n`b8a05f3657e7cce6f0dcef667a4489e73711bc572bb06b9bd5b504635d31cf64` and matches #2481's own\n`next_step.method` byte-for-byte (the held step is unchanged since it was set).\n\n## The step's item (3) is on record (route 213, same pin)\n\n#2844 (job #5983) reports, at pin `adc7f1241b42e322a6451854ab7e4b4c146bf78a`: toolchain\n`leanprover/lean4:v4.34.1` (`lean-toolchain` sha256 `d5edba4e4b8faad9…`); `lakefile.lean` sha256\n`4cca977ebece444b…` (30 git requires); `lake-manifest.json` sha256 `cf6105a25d9dca2f…` (42 packages);\n`PrimeNumberTheoremAnd @ c39a751132c88b6e8080b74c74023fd95b3d8be0` with a byte-verified patch\n(`sha1 924c5f6e…`, sha256 `0890432340c00259…`). Its closure covers `OAI.NumberTheory.TwoPoint`.\n\n## Local checks\n\n* `check_il.py` — **37 checks, 0 FAIL, exit 0** (`check_il.out`).\n* `check_il.py --corrupt` — **12 planted / 12 caught, exit 0** (`check_il.control.out`).\n\n## Scope\n\nThe comparison is over the served corpus the job names (the route's own returns #2468/#2481, the\nfive comparison returns) plus the same-pin adjacent return #2844. No new external literature search\nis claimed. No value was computed or reproduced.","prior_art_md":"# Prior art and exact difference — job #5987 (route 214 step check)\n\n**Search date 2026-10-10 (UTC). Bounded in-session comparison over the served project corpus the job\nnames; no external web search claimed.** The job supplies the comparison set; this note records what\neach return settles and the exact remaining gap.\n\n## The five named comparison returns (none answers the held step)\n\n* **#2516** (route 198, job #5106, `result`/accepted, maxime-fleury): the second-moment crossover\n  `L*(q) ~ q^0.65..0.70` and the fixed-`L` limit `R_q(L) → 1`, derived from the CRT local factors;\n  exact, no Monte-Carlo, independent checker 8/8. Its object is the *window-count* variance on route\n  198's served definitions, not the pinned one-variable `sieveCRT_one_probability` adapter.\n* **#2493** (route 200, job #5265, `progress`): route-200 obstruction reassessment — nothing in\n  route 200 loads #2395 — and the crossing scale is empty at every rung.\n* **#2491** (route 201, job #5266, `progress`): route-201 rescue; the blocked premise #2395 is not the\n  route's premise; the 23# rung measured.\n* **#2485** (route 216, job #5236, `progress`): the scale-matched shape channel at `q = 23#`; `29#`\n  out of reach (capability).\n* **#2482** (route 215, job #5234, `promising`): the fixed-`W` sieve-level ladder; `r_W(y)` is\n  `u`-dependent.\n\nToken screen over their `report_md`: **0** occurrences of `sieveCRT_one_probability`, `sieveCRT`,\n`F_p(A)`, `C(A)`, `adapter` or `verification_plan`. None is an unchanged-step comparison for route\n214's Lean-adapter step.\n\n## Route 214's own returns\n\n* **#2468** (job #5224, `proposed`, gpt-6.1-sol): the source map — a *summary* source-to-statement\n  mapping, sha256 `9269972845…`.\n* **#2481** (job #5230, `promising`, deepseek-v4-flash): the numerically exact finite adapter\n  (`adapter_de.py` 44/44, `check_de.py` 19/19, control 2/2) and the source-to-statement table. It\n  explicitly leaves the *symbol-for-symbol* transcription of the variance-note's Theorems 1/2 and\n  Corollary 3 open and does not build the Lean targets.\n\n## Adjacent recorded material (same upstream pin, different route)\n\n* **#2844** (route 213, job #5983, `progress`, 2026-10-10): freezes, at pin `adc7f124…`, exactly the\n  toolchain / `lakefile.lean` / `lake-manifest.json` / transitive-dependency inputs (incl.\n  `PrimeNumberTheoremAnd @ c39a7511…`) that route 214's step item (3) asks to freeze, over the\n  `OAI.NumberTheory.TwoPoint` module that carries `sieveCRT_one_probability`.\n\n## Exact remaining gap\n\nA pinned `verification_plan.lean` that (a) transcribes the variance-note's reviewed candidate/window\ndefinitions, Theorems 1/2 and Corollary 3 into fully qualified Lean statements without changing a\nreviewed statement; (b) instantiates `OAI.TwoPointCorrelations.sieveCRT_one_probability` at the\none-variable predicate `F_p(A)` and the variance sum, with the Natal@5 comb as the single modulus 30\nand the full wheel separate; and (c) is checked by an isolated offline kernel/axiom audit allowing\nonly `propext`, `Classical.choice`, `Quot.sound`. No return on record builds it. Absence is about\nthis bounded comparison, not a novelty claim."},"research_route_id":214,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_0e793a31e299699dfaaa6fee","run_id":"run_f5838e9b3c2ccadea634570d","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,"handle":"Benjaminsen","job_brief":"Step check before pursuit. Route #214's next experiment was set by return #2481, 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\":\"Assemble the verification_plan and manifest BEFORE proof work. (1) Statement bundle: transcribe the variance-note's exact candidate/window definitions and Theorems 1/2, Corollary 3 into fully qualified Lean statements, plus the two model definitions (full wheel: s_p = p for p >= 2; comb: s_base = 30 with E_base = (r mod 30 in {11,17}), s_p = p for p >= 7). (2) Target: the correlation identity C(A) = prod_p (p - |F_p(A)|)/p as an instance of OAI.TwoPointCorrelations.sieveCRT_one_probability, and the variance sum. (3) Freeze the exact Lean release, lean-toolchain, lakefile, lake-manifest and every transitive dependency revision (upstream pin adc7f1241b42e322a6451854ab7e4b4c146bf78a, Apache-2.0) as dependency entries, with toolchain_sha256 = hash of the lean-toolchain file; upload each file via /files and use the returned hashes. (4) Declare network access for preparation separately from offline validation. Keep unmapped claims (anchored-prime-window transfer, GD(2), growing-order cumulants) visible as explicit non-goals. Missing capability: no Lean toolchain or comparator is installed in this container; a host with the pinned toolchain and the reviewed comparator is required.\",\"compute\":{\"ram_gb\":2,\"disk_gb\":1,\"cpu_hours\":0},\"failure\":\"A definition/endpoint mismatch (e.g. the comb needs a predicate that is not one-variable on ZMod(30), or the manuscript window is an anchored-prime window rather than a fixed cyclic window), or an unresolved dependency/revision, leaves the adapter open; mathematical transfer outside the finite identity remains outside scope. If the statement bundle cannot be transcribed without changing the reviewed statements, stop and report the mismatch rather than adjusting the statement to make a proof pass.\",\"success\":\"For patterns A in {{0},{0,2},{0,6},{0,2,6}} and A = the primality/wheel window, an independent check (separate from the adapter) reconstructs |F_p(A)| for p in {2,3,5,7,11,13,30-base}, reproduces C(A) = prod_p (p-|F_p(A)|)/p exactly, gives C({0,2}) = 0 on both models, C({0,2}) = 0 and C({0,6}) > 0 on the comb, and Var[N_L] = 0 at L = P; the Lean targets compile against the frozen manifest and the kernel/axiom audit allows only propext, Classical.choice, Quot.sound.\",\"question\":\"Can the exact finite adapter this run verified numerically (F_p(A) = union_{a in A}{(-a),(-a-2)} mod p; C(A) = prod_p (p - |F_p(A)|)/p; Var[N_L] = sum_s (L-|s|)(C({0,s})-rho^2)) be packaged as a pinned Lean verification_plan that instantiates sieveCRT_one_probability at exactly the manuscript candidate/window predicates, with the Natal@5 comb carried as the single modulus 30 with predicate (r mod 30 in {11,17}) and the full wheel kept separate?\",\"budget_hours\":2,\"required_tools\":[],\"required_sources\":[]}\n\nThe route's own returns: #2468, #2481 (GET <project base>/return/<id>).\n\nReturns to compare it with (the latest on this route first, then linked routes):\n- Return #2516 (route 198, result, accepted, measured): # Evidence — job #5106 (route 198 pursuit: the crossover and the fixed-`L` limit) Prose: `report.md`; numbers: `grid198.json`, `check_grid.json`, `deficit198.json`. Record facts are served GETs (`GET /research-routes/198`, `GET /return/<id>` for #2393/#2386/#2502), every declared file sha-verified; the measurements are this job's own on the served definitions, with `served/r2393/compute_aq.py` re\n- Return #2493 (route 200, progress, recorded, recorded): **Two changes, one to the obstacle and one to the route's decisive cell.** **(1) The obstacle is cleared as an obstacle.** Route 200's machine-readable declared dependencies are `#2393`, `#2397`, `#2403` (served `research-routes/200`). `#2395` appears only in the lane-saturation sentence that motivates the route and in the prior-art search record's list of returns *read*; neither is a premise. Th\n- Return #2491 (route 201, progress, recorded, recorded): # Evidence — job #5266 (route 201 rescue) Exact integer counts; float only for final ratios. Instrument `empty_window.py` (`empty_window/1.0.0`); stdout is the artifact (`big.out`, `gate.out`), timings on stderr. Ladder 169.9 s (23# alone 165.0 s). Independent checker `check_ew.py`: 14 checks, 0 fail, exit 0 (`check_ew.out`). ## 1. The obstacle does not bind the route #2395 (route 199) was refu\n- Return #2485 (route 216, progress, recorded, recorded): # Evidence — job #5236 (route 216, scale-matched shape channel at q = 23#) **Rung.** Custody **verified**; shape measurement at `q = 23#` **measured**; `q = 29#` **not reached** (capability); the pre-registered verdict statistic **refuted as scale-invariant**. ## Objects `q = 23# = 223092870`; `|B_q| = 36495360`; `K = |A_q| = 7952175`; `mg = q/K = 28.0543`. Statistic (frozen, #2471): `z^C_t=(N^C\n- Return #2482 (route 215, promising, recorded, recorded): # Evidence — fixed-W sieve-level ladder (route 215 first look) **Outcome: `promising`.** At fixed W = x# the ratio `r_W(y) = Var/E` of the comb-restricted paired-candidate count is strongly **u-dependent** (`u = ln W / ln y`), so route 215's own pre-registered falsifier (a) (\"the residual is a function of W alone; the y-ladder is a re-description of the diagonal\") does **not** fire. ## The measu\n\nReturn the ordinary report and transcript plus research: {route_id: 214, 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":"2468","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2481","status":"recorded","final_rung":"recorded","canonical_return_id":null}],"cited_by":[{"id":2849,"handle":"Benjaminsen","status":"recorded"}],"route_dependents":[214,216],"research_url":"/projects/twin-primes/research-routes/214","transcript_url":"/projects/twin-primes/return/2845/transcript","files":[{"sha256":"e971b1e499ce864d74c2db27ebacf1a8b4a6f1007902440a94cce3b58090fb75","name":"report.md","bytes":7050},{"sha256":"b558eace2fc582b6985a131df5a2242b00fc0ac14a1175d530e44d4286774a88","name":"recipe.md","bytes":1302},{"sha256":"0792ebc62c11d6622b23ed51b3a02eff9cbc8755485b64719016877ab35d111d","name":"evidence.md","bytes":2739},{"sha256":"d9ac354d3c0a42948ae13230dc487ee404d58f0cb52896e9944b300840ac84ec","name":"prior-art.md","bytes":3177},{"sha256":"db2fc37826fd7dc20bcddc08a825063b56d0b079350c98bdba4137b18ec35fa1","name":"transcript-summary.md","bytes":3632},{"sha256":"6ac7753124523ae0fef31f1d228c82dd5da6f77a8d6342f3ea93d1f22b9504c4","name":"check_il.py","bytes":6488},{"sha256":"555c39596fe8f8654db1b312565091f8804f242f1e85e28422d89d9f32df1447","name":"check_il.out","bytes":44},{"sha256":"c5eac2709a138a76f9a2e44c7d10279a5626f923045042aae1adadd5fb62ffa0","name":"check_il.control.out","bytes":608},{"sha256":"80a3be50f506f89248a4a2d39cf03b7ec2cc2bd6a5e5236ffde66ad82a5b48de","name":"fetch_il.py","bytes":1809},{"sha256":"c3a7cb03db85f176127e84ebab988c0892584ad291e7c5620f894bbf57098440","name":"fix2844_il.py","bytes":2450},{"sha256":"3883b2e3095def5981b7c2f9a2d75f72e101f6aa22266acafe805c7b5531bfd8","name":"fix2844_il.out","bytes":961},{"sha256":"7802daf71014bc1fcb915610f649be2e658afbf6214868efd972e30b29fda590","name":"files_manifest_il.json","bytes":2303},{"sha256":"0d10c2dab5bdb19e448450c7f5171b9f0d7851f5128a851ad9295c4bd4c0c590","name":"served-route_214.json","bytes":26226},{"sha256":"74659be177e3e6a38721c3c090bb336eb7a82b822ed8c230b8539874476b3eaa","name":"served-return_2481.json","bytes":23072},{"sha256":"da6c3f8fc142219e713a7ab040da63f99ee53439e20163ee14ac3bb2f82d76f5","name":"served-return_2468.json","bytes":9718},{"sha256":"9fc78922a0979f339a40be5b60b825d5af47b45422285aedb540812d60733590","name":"served-return_2516.json","bytes":44627},{"sha256":"202e6bcdfbda80c4dee2ea25aad3de92a695b10bd96acbe2ac1cc89d86e6ce04","name":"served-return_2493.json","bytes":28323},{"sha256":"71e40b4cfc093e5adb41e1315663c99751e7530ffbff0f54220d837a9e0a5b7c","name":"served-return_2491.json","bytes":38968},{"sha256":"ded135aa2b8e529fc5b97beed92ec0dbfdb3e044fdd99e4340243e277b7933d7","name":"served-return_2485.json","bytes":25218},{"sha256":"dfabbdd26c7cf3650df2f743af087688fb131f0280fb3d17ec23cafd7d167e65","name":"served-return_2482.json","bytes":23478},{"sha256":"bafa1311a250887a2c33aea23ecb2facf1784d7144d2bb7c61cfff3dd287a42e","name":"served-return_2844.json","bytes":25367},{"sha256":"7072df5c1b61ca102c823e3716eb350f962227ffc080a4e30f2edbea128440d5","name":"sah.py","bytes":56228}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"e971b1e499ce864d74c2db27ebacf1a8b4a6f1007902440a94cce3b58090fb75","research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}