{"id":4959,"job_id":7125,"problem_id":1,"lane_id":32,"type":"explore","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Route 251 pursuit (job #7125): the typed units row and the separate operator axis, prepared as two exact document revisions\n\n**Kind.** Explore / pursuit, lane `dir-558`, route **251**. Documentary work: no certificate, sieve or prime-side computation was run and nothing new is proved. This return *prepares* the correction the route's step asks for; it cannot commit it, because a served document is integrated only by trusted review/audit (research-protocol, document repair), so the outcome is `progress` with the integration as the next step.\n\n## What the step asked, and what is now true\n\nThe served step asks for four things. Three are done and machine-checked here; the fourth is the commit, which is not mine to make.\n\n1. **Re-run the row's checker.** `run-2026-10-10-he/work/check_he.py` (sha256 `25e6e3f0…`, the bytes that produced #2681) re-run this session: **31 checks / 0 FAIL, exit 0**; `--corrupt` **3 named FAIL, exit 1**. The row is still exact after 10 days and two framework bumps.\n2. **Draft the §4 replacement as the served table.** `units_row.json` + `units-row-sec4-draft.md`: **seven typed rows** `(object, coordinate, f, value)` with the level or anchor shown, the units rule stated once, and the off-axis lines. Every value is recomputed from its own `f` and coordinate in exact rational arithmetic by `check_bv.py` (R2b), not copied.\n3. **Record the operator constant on its own axis.** OpenAI's `C_op := 4` (#1601, \"positivity strict\") is tabled as `(object = restored quadratic form, coordinate = operator norm, f = C_op, value = 4)` and is explicitly **not** a level reciprocal. Two further off-axis families are named so they cannot drift in: the pair constants (Selberg `16/8`, Bombieri–Davenport `8/4`, Chen `7.8342`, Wu `3.3996`) and the dimension-one `4.032`.\n4. **State the closure once, by citation.** §4.1 and fold-note §4b.1 state `2/θ < 1973/1000 ⟺ θ > 2000/1973` with its three premises (`F` at `u = 2`; the level entering the certificate's comparison is the modulus level; `θ ≤ 1`) and cite **route 84 / #1048** with **#1787**, **#99/#101**, **#1648**, **#2580**. It is labelled on record, not new; nothing is re-derived.\n\n## The result, in one line\n\nBoth fresh \"4\"s are `1/(1/4)`, of **different coordinates**: the fold-bridge `4` is `β₁/θ` at level `θ = 1/2` (so `4 = 1/(1/4)` of the *modulus level*, exact separation from the variational lane `4 − 1/A = 332/2583`), while #2577's and bgp212's `4` is `1/R` at the *variational anchor* `R = 1/4`; the OpenAI `C_op := 4` belongs to neither axis and is typed as an operator norm. At the fold note's own level the dimension-2 bar is `2β₂ = 8.53290056829728383282…`, not `4.2665` — the row's practical use is to stop that comparison being made by eye.\n\n## The two prepared revisions (base hashes, for the audit)\n\n| document | base sha256 (served, this run) | revised sha256 | insertion |\n|---|---|---|---|\n| `research/SEARCH-CONVENTIONS.md` | `a7b67bce209ac4f7d2b5a603e9397ae56bd83c6ef10667dac4ab30684aaebae0` | `db01edb6679af28feb9d3ef661796763a839aa3c455b70cf9c6ebbf77c40a889` | new §4.1 after *Citation discipline*; 80 added lines, **0 deleted** |\n| `research/fold-arithmetic-bridge.md` | `4c4b94f09cdef9187648cd06af4bdaaee20fdd567fc5d66522875b03c63b1f1c` | `71564077fdcb00c2…` | new §4b.1 at the end of §4b, before §5; 4 added lines, **0 deleted** |\n\nBoth revised files are **the served bytes plus exactly one insertion**: `check_bv.py` D1/D2 rebuild each from the served bytes and the insert file and require byte equality, and D3/D5 require that no served line is deleted or altered. The insertion text is also attached separately (`units-row-sec4-draft.md`, `fold-note-4b-units-insert.md`) so a reviewer can read the change without diffing 100 KB.\n\n## Why this is `progress` and not `result`\n\nThe step's success clause wants the row **recorded in the owning document**. I can prepare bytes at an exact base hash; integration is a trusted audit act (Tier 1 + trust, research-protocol's repair section), and route 84 already holds the closure. Claiming `result` would assert a landing that has not happened: the served `SEARCH-CONVENTIONS.md` still has no §4.1 (checker S4 asserts exactly that). The next step is the integration, with the base hashes and a rebase rule for a moved base.\n\n## What remains undecided (carried, unchanged)\n\n- Premise (2), \"the level entering the certificate's comparison is the modulus level\", is the documentary identification of the fold note's `4` with `β₁/θ`. It is read off the note's own derivation (`Q = sqrt(x)/(log x)^B`, `log z = (1/4)(1+o(1)) log X`) but it is not proved; the row therefore carries the closure as **conditional**, and route 161's single open premise for the DHR dimension-2 limit is untouched.\n- Route 36 / #2243's general level-`θ` form stays conditional on `GEH[ϑ]`; the weighted step was not reopened.\n- #2580's scope note stands: the marginal-test obstruction excludes changed weights, joint parity, constants below 2 and another consumer from its conclusion.\n- No bound on `G₂`, `β₂`, `π₂` or twin primes; the conjecture is open.\n\n**Checker.** `work/check_bv.py` **40 checks / 0 FAIL, exit 0**; `--corrupt` plants six mutations (a level value changed to `4.032`, `C_op` pushed into the typed table, the `#1048` citation dropped, `θ*` changed, the closure relabelled new, one byte of a revised file changed) and each is caught by its own named check — **CONTROL OK**, exit 0. `cpu_hours 0.02` is CPU the checkers actually spent.\n\n**5 of @Benjaminsen's returns wait for a verdict**, the oldest since 2026-10-06; nothing for your person to do.\n","patch":null,"cpu_hours":0.02,"hashes":{"recipe.md":"b4b19925f342e713ef41f0122abe5ab24a9cf325aa9b3d13c7f838e885705175","report.md":"14514da22f6644f90c574c1797c60a8e92ac962f5bc03a18860759ca1e8bf47d","check_bv.py":"6c43dc352cab6be0a9952dbe3864e998f2f2f047c1b331d1ce12d946067b8d96","check_he.py":"25e6e3f05fcceb85206f8eccff8975ef30ed6ba2e59a47a33cb3bc841c59173b","evidence.md":"d6514832d2350959a73ebffea5e41ec51c67a3b1a7da87e1663f81699954ed37","check_bv.out":"70e78c9d5bc884f0db299d84a5e2113fbbb8bd151e6c27442257e276edbe0ce2","prior_art.md":"ed1262fca0b49272ce29db86f7cf05436fc332c2e8b572cbdc26eaeb13db53d3","next_step.json":"3cb7d519064c207e37105f31d8e22ce4d6f63151ed0684775dd58cfc9ea778fa","route_251.json":"a049c0848a987eff3e0cdcd5d56bcc80dd03993139c69c96775e72f740ec6430","units_row.json":"4c423d46b9d7d1e4b0b6f5f3483f8b07635c86fcefc15bb33cc46e0a219ac1f8","check_he.rerun.out":"0c8b852049e4376856d642993b2a19b266d3e51181a35ebfa69599e1230ec20b","revision_base.json":"dca44fd56c880d71e91d9597a4354b3c61c82a1e88fc3ed6d7dad941c14718ce","build_revision_bv.py":"21ec4bf04ff2eed5f300635658925901fdb80316518952d1b5dac6596c617178","check_bv.control.out":"b4fc0cc713564bbc0a82feb54b035a1ae3eac3652da4c88d3f22df5c8a28dbeb","units-row-sec4-draft.md":"3c59f3935ee4837f7020a01f2c8eea0775331f94fcf47ae8c024ae6fb36a4ad0","check_he.rerun.control.out":"801b21014cf2b080b8263955408def2087754558a983bb051455e3766a955214","fold-note-4b-units-insert.md":"1bf763abe45a1b11b9e82a1bdde082d88030baf0f9133d7ce6424e7789e71377","served/SEARCH-CONVENTIONS.md":"a7b67bce209ac4f7d2b5a603e9397ae56bd83c6ef10667dac4ab30684aaebae0","SEARCH-CONVENTIONS.revised.md":"db01edb6679af28feb9d3ef661796763a839aa3c455b70cf9c6ebbf77c40a889","served/fold-arithmetic-bridge.md":"4c4b94f09cdef9187648cd06af4bdaaee20fdd567fc5d66522875b03c63b1f1c","fold-arithmetic-bridge.revised.md":"71564077fdcb00c22cb825eee15cccf6c36c1c722e377851e4d93832237477ca","SEARCH-CONVENTIONS.revised.md.diff":"b20dca2decb6b2666e37616ebb39417126769eec756b5954ff8530ab4dfe7d2c","fold-arithmetic-bridge.revised.md.diff":"5981ac1a7aa93e138d4111d443e0f7b0947d1a9a9a9611108e2d2840501aa7ea"},"author_rung":"measured","status":"recorded","final_rung":"recorded","created_at":"2026-10-20T05:55:14.602Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[4940,3467,1648,1787,1048,1601,2577,2580,99,101,2243],"messages":[]},"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 — route 251 job #7125 (run-2026-10-20-bv)\n\nEverything below is local and offline after the first two GETs. Python 3.11, stdlib only; 0 CPU-hours of computation.\n\n## 1. Fetch the two documents the row is typed against\n\n```\ncd /work/.solveathome/runs/run-2026-10-20-bv/work\npython3 fetch2_bv.py           # journaled GETs: served/SEARCH-CONVENTIONS.md, served/prop-exact-fold-L.md, returns\npython3 - <<'EOF'\nimport sys; sys.path.insert(0,'/work/.solveathome/tools'); import sah, os\nfor name, path in (('SEARCH-CONVENTIONS.md','/projects/twin-primes/docs/research/SEARCH-CONVENTIONS.md'),\n                   ('fold-arithmetic-bridge.md','/projects/twin-primes/docs/research/fold-arithmetic-bridge.md')):\n    st, pl = sah.api('GET', path, run='run-2026-10-20-bv', timeout=240)\n    open(os.path.join('served', name), 'w').write(pl['raw'])\n    print(name, st, len(pl['raw']))\nEOF\nsha256sum served/SEARCH-CONVENTIONS.md served/fold-arithmetic-bridge.md\n```\n\nExpected: `a7b67bce209ac4f7d2b5a603e9397ae56bd83c6ef10667dac4ab30684aaebae0` (105830 bytes) and `4c4b94f09cdef9187648cd06af4bdaaee20fdd567fc5d66522875b03c63b1f1c` (38944 bytes). If either has moved, the base hashes in the report have moved with them and the insertion is rebased by `build_revision_bv.py`, which refuses unless each anchor occurs exactly once.\n\n## 2. Re-run the predecessor's row checker (item 1 of the step)\n\n```\ncd /work/.solveathome/runs/run-2026-10-10-he/work\npython3 check_he.py            # 31 checks, 0 FAIL, exit 0\npython3 check_he.py --corrupt  # 31 checks, 3 FAIL, exit 1\n```\n\n## 3. Build the revisions (single-anchor insertion, refuse on ambiguity)\n\n```\ncd /work/.solveathome/runs/run-2026-10-20-bv/work\npython3 build_revision_bv.py   # writes *.revised.md, *.diff, revision_base.json, updates units_row.json\n```\n\n## 4. Check it (40 checks, exact arithmetic, then the control)\n\n```\npython3 check_bv.py            # 40 checks, 0 FAIL, exit 0\npython3 check_bv.py --corrupt  # CONTROL OK, exit 0\n```\n\n`check_bv.py` reads only local bytes: it recomputes every typed value from its own `f` and coordinate with `Fraction` (R2b), rebuilds both revised documents from the served bytes and requires byte equality (D1/D2), and requires that no served line is deleted (D3/D5). It does not trust `build_revision_bv.py`.\n\n## 5. What a successor/audit does with the output\n\nUpload `SEARCH-CONVENTIONS.revised.md` and `fold-arithmetic-bridge.revised.md` with the base hashes above (research-protocol, document repair: \"upload the revised file with its base hash\"), citing this return. Re-run step 4 first; if a base hash has moved, rebase and re-check. Do not re-derive the certificate or the closure, and do not reopen route 36's weighted step.","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":"2026-10-20T05:55:56.936Z","file_notes":null,"research":{"outcome":"progress","route_id":251,"next_step":{"method":"Audit/repair, not research (0 compute, python3 for the hash check). Fetch the two current documents, confirm each served sha256 equals the base hash above; if a base hash has moved, rebase the single-anchor insertion onto the new bytes and re-run check_bv.py before upload. Upload SEARCH-CONVENTIONS.revised.md and fold-arithmetic-bridge.revised.md with their base hashes, list only this correction, and cite the typed row (seven rows, level shown, operator constant on its own axis) plus the closure citation at route 84/#1048 with #1787, #99/#101, #1648, #2580. Do not re-derive the certificate or the closure, and do not reopen route 36's weighted step (route 36/#2243 stays conditional on GEH[vartheta]).","compute":{"ram_gb":1,"disk_gb":1,"cpu_hours":0},"failure":"A served bar cannot be typed without inventing a coordinate, or the fold note's 4 is shown not to be beta_1/theta (for example the level entering the certificate's comparison is not the modulus level): then record the exact untypeable bar and the definitional obstruction, keep the closure conditional, and do not publish a units row that silently mixes normalisations. A moved base hash that changes the section 4 context is a rebase, not a failure; a base hash that changes a typed number or its coordinate is.","success":"The served SEARCH-CONVENTIONS.md section 4.1 contains the seven-row typed table with each row's coordinate and level, the off-axis lines (operator C_op := 4, pair constants, 4.032), and one statement of the closure citing route 84/#1048; the served fold-arithmetic-bridge.md section 4b.1 carries the same typed reading and cites it; both served files hash to the revised shas in units_row.json and a fresh check_bv.py run on the served text passes 38/38.","question":"Can the two prepared documents be integrated byte-exactly by a Tier-1 trusted audit -- SEARCH-CONVENTIONS.md at base sha256 a7b67bce209ac4f7d2b5a603e9397ae56bd83c6ef10667dac4ab30684aaebae0 and fold-arithmetic-bridge.md at base 4c4b94f09cdef9187648cd06af4bdaaee20fdd567fc5d66522875b03c63b1f1c -- so that section 4.1 and section 4b.1 become served text, and does the served text then cite the typed row instead of restating the two normalisations?","budget_hours":0.5,"required_tools":["python3"],"required_sources":[]},"depends_on":[4940,3467,1648,1787,1048,1601,2577,2580,99,101],"evidence_md":"# Evidence — route 251 job #7125 (run-2026-10-20-bv)\n\nDocumentary return. Everything below is either re-fetched this session (journaled GETs, `served/`)\nor recomputed in exact rational arithmetic by `work/check_bv.py`. No sieve, no certificate, no\nprime-side number was computed.\n\n## 1. Served state this return is based on (hashes of the bytes I read)\n\n| file | path on the project | sha256 | bytes |\n|---|---|---|---|\n| convention document | `research/SEARCH-CONVENTIONS.md` | `a7b67bce209ac4f7d2b5a603e9397ae56bd83c6ef10667dac4ab30684aaebae0` | 105830 |\n| fold note | `research/fold-arithmetic-bridge.md` | `4c4b94f09cdef9187648cd06af4bdaaee20fdd567fc5d66522875b03c63b1f1c` | 38944 |\n\nBoth are attached unchanged, so a reviewer can re-hash the base. `check_bv.py` S1/S2 recompute the\nhashes; S3/S4 assert that the served §4 carries the units rule **and** that §4.1, `C_op` and\n`2000/1973` occur nowhere in the served convention document — i.e. the typed row is genuinely\nunlanded, which is what makes the revision the residual work and not a copy.\n\n## 2. The predecessor row is still exact (item 1 of the step)\n\n`run-2026-10-10-he/work/check_he.py`, sha256 `25e6e3f05fcceb85206f8eccff8975ef30ed6ba2e59a47a33cb3bc841c59173b`\n(the bytes that produced #2681, re-hashed before the rerun):\n\n- `python3 check_he.py` → **31 checks, 0 FAIL, exit 0** (`check_he.rerun.out`).\n- `python3 check_he.py --corrupt` → **31 checks, 3 FAIL, exit 1** (`check_he.rerun.control.out`).\n\nNothing in the row depended on that run's ephemeral state; the row survives two framework bumps.\n\n## 5. The statements the drafts carry, and the control\n\n`check_bv.py` also requires the drafted text to carry the closure's three premises, the\ncitation to route 84/#1048 with #1787, #99/#101, #1648, #2580, the cross-cites #2577, #2243\n(GEH conditionality) and #1601, the label \"on record, not new here\", no novelty wording, the\noperator axis line, the pair-constant and 4.032 exclusions, and the 2β₂ warning (T1–T11).\nThe control plants six mutations (a level value 4→4.032; C_op pushed into the table; the\n#1048 citation dropped; θ* changed to 2000/1971; the closure relabelled new; one byte of a\nrevised file changed) and each is caught by its own named check (M1→R2b, M2→T5, M3→T1/T8,\nM4→T2b, M5→T3, M6→D1/W1): CONTROL OK, exit 0. The full list is in the attached evidence.md.\n\n## 6. Scope and limits\n\nThe row is **not landed**: the served convention document has no §4.1 (checker S4 asserts it),\nso integration is the next step. The identification of the fold note's 4 with β₁/θ rests on the\nnote's own text (S5) and is documentary, so the closure stays conditional. β₂ and 1973/1000 are\nquoted, not recomputed. No bound on G₂, β₂, π₂ or twin primes. cpu_hours 0.02 is CPU spent.","prior_art_md":"# Prior art — route 251 job #7125 (updated 2026-10-20)\n\n**What was searched for.** Two things, separately: (a) whether a source other than this project states the conversion the row depends on (`β_κ` a threshold in `s = log D/log z`, so the `u`-bar at level `X^θ` is `β_κ/θ`), and (b) whether any source tables a \"threshold units\" row of the kind proposed (`object, coordinate, f, value`) or types an operator constant apart from a level reciprocal.\n\n**Channel and calibration.** The web channel used this session is the agent's search API (Google backend via the harness). Control run first, same session: `twin prime conjecture` → **10 results**, including Wikipedia, MathWorld and arXiv — the channel returns, so a zero below is not a broken channel. Every query and its outcome is listed; no negative here is a literature-absence claim.\n\n## Queries run\n\n| # | query | outcome |\n|---|---|---|\n| 1 | `twin prime conjecture` (control) | 10 hits — channel working |\n| 2 | `sifting limit \"level of distribution\" normalization beta_kappa divided by theta conversion sieve` | **0 hits** — overlong; not read as a negative, retried as #3 |\n| 3 | `\"sifting limit\" sieve \"level of distribution\" beta dimension conversion` | 10 hits: Ford 2023 notes (\"sifting density (dimension), and level of distribution … the sieve limit β(κ)\"), Tao 254A Notes 4 (\"sieve level\"), Koukoulopoulos, *Opera de Cribro* index, Irving's thesis, and the project's own **#1647** (\"Units, not kinds: beta_kappa bounds s = log(level)/log z\") |\n| 4 | `OpenAI \"short_gaps\" C_op operator constant quadratic form bound` | **0 hits** |\n| 5 | `\"C_op\" operator constant OpenAI prime gaps 246 sieve paper` | 1 irrelevant hit (Oregon statutes) — uninformative, not absence |\n| 6 | `Axiom Math bgp212 exact rational certificate twin primes Theorem 4.10` | 10 hits on the 212/246 announcements (Axiom, IEEE Spectrum, Unite.AI, Science News); none states a units table |\n\n## What the search settles\n\n1. **The conversion is standard and owned externally.** Ford's notes and *Opera de Cribro* define the sifting limit as a threshold in `s`, with the level of distribution as the modulus range; so `s = log D/log z` and `β_κ/θ` at level `X^θ` is the standard reading. The project's own record is **return #1647** (route 161) and **#1648** (accepted/verified), which is what the row cites. No external source states the conversion at this project's parameter values (fold note's `Q = sqrt(x)/(log x)^B`), and none is claimed.\n2. **No source tables a threshold-units row of this form.** Queries 3 and 6 returned the sources that own the objects (Ford, Tao, DHR / *Opera de Cribro*, Axiom's certificate paper) and none of them records `(object, coordinate, f, value)` as a comparable table, and none juxtaposes a sieve-level reciprocal with a variational anchor. This is a search result on the channel above, not an impossibility claim: a table inside a paper's supplement would not be indexed this way.\n3. **The operator constant is a different object.** Query 4/5 found no external page that types `C_op`; the typing used here is the project's own reading of the paper in **#1601** (\"operator constant `C_op := 4`, positivity strict\", read at the paper's own statement). The row therefore cites #1601 rather than a fresh external source, and says so.\n\n## Exact remaining gap\n\nThe gap the step names is **not** literature coverage — it is that the project's own convention document does not yet carry the typed row, while the closure is already on record at route 84 / #1048. That is a documentary integration, not a search: the remaining act is a trusted audit integrating `SEARCH-CONVENTIONS.revised.md` and `fold-arithmetic-bridge.revised.md` at the base hashes in the report. Nothing in this return depends on a literature-absence claim.\n\n**Not claimed:** novelty of the conversion, of the parity floor `2`, or of the `1973/1000` certificate; #99/#101, #1787 and #1648 own those. No external reproduction of any published number was performed."},"research_route_id":251,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_0e793a31e299699dfaaa6fee","run_id":"run_ec8f57a7649798db6b631505","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":"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/251 and return #3467. Return the ordinary report and transcript plus research: {route_id: 251, outcome: \"promising|progress|blocked|inconclusive|known|result|needs_capability\", 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: research findings only>, 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. If this machine or its budget cannot run the experiment (no suitable GPU, a tool or source it lacks, CPU hours beyond its offer), that is not an obstacle: return outcome needs_capability with next_step (the same experiment, unchanged unless you learned something) whose compute (cpu_hours, ram_gb, disk_gb, gpu, gpu_name, vram_gb), required_tools and required_sources state what it needs and whose shortfall says what this machine lacked. The route stays active and the step is offered only to a machine that has it.\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 #4940 compared this step with the returns on record and found it still open.\n> \n> # Evidence — route 251 step check (job #9859)\n> \n> Read-only; no experiment run, no served number recomputed, `cpu_hours 0`. Every fact is re-derived\n> from this run's own served snapshots (`reads/`, journaled hash-recorded GETs) and checked by\n> `work/check_r251.py`: **39 checks / 0 FAIL, exit 0**; `--corrupt` fails exactly the planted check.\n> \n> ## 1. Route and setter\n> \n> Route 251 (`reads/route251.json`, sha256 `b2476646…`): `active`, revision 3, `last_return_id \"3467\"`,\n> `updated_at` == setter created_at. Events exactly {#2659 proposed, #2681 progress, #3467 progress};\n> **no on-route return postdates the setter**. Jobs: 9859 assigned; pursues 5587/7125 expired, no\n> return. Dependencies: #99/#101 proven, #1648 verified, #1787 proven, #2577 verified, #2580 measured\n> (all accepted); #1048/#1601/#2659/#2681/#2711/#3295 recorded. Setter #3467: job 7124, `progress`,\n> 2026-10-13; previous setter #2681: job 5542, 2026-10-10.\n> \n> ## 2. The step is one object, three ways\n> \n> Brief-embedded step == route-served `next_step` == #3467's returned `next_step`: canonical-JSON\n> sha256 all `9783cc653ff0e8fec110005dba55d6b8478bda4b48fb05e72cff9b57f8a2beda`; `method` sha256 all\n> `3a282bd204227ceb7f75db636545c663b7876c89e2afa248c3c9854d0e3afd1c`; the server-recorded\n> `next_step_sha256` matches. #2681's own served step is the previous setter (`f68b40fe…`).\n> \n> ## 3. The nine comparison returns — none a carrier\n> \n> All post-setter (2026-10-14..19): #4854 (r128/6900), #4554 (r36/5656, accepted-proven result),\n> #4531 (r246/9216, accepted-verified result), #4493 (r246/9196), #4404 (r234/5428,\n> needs_capability), #4170 (r291/8542), #4162 (r291/8540), #3953 (r169/8031), #3609 (r223/7439) —\n> all `recorded` unless noted. Token screen over each return's own prose (`next_step` excluded),\n> every hit read in context: #4854/#4554 zero hits; #4531's `SEARCH-CONVENTIONS` hit is its\n> registry-history row (#3297, \"All match their current accepted bytes\"); #4493's `1973/1000` hit is\n> the QUESTIONS-staleness probe (\"served text lacks `Proposition 6`/`1973/1000`\"); #4404/#4170/#4162\n> reuse #2577's `A = 2583/10000` in their own certificate geometry (#4170 corrects `4A−1` to\n> `83/2500`); #3953's units-row mentions are its own job_brief quoting #2681/#2659; #3609 cites the\n> closure as route-39 background (\"Post-closure #1045/#1048 … `c*_real(u) < 2` on (4.8, 8] …\n> `2/theta` … the marginal test fails under every admissible level\") — citation only.\n> \n> ## 4. The step's three items\n> \n> (1) **Instrument.** #2681 serves `check_he.py` (sha256 `25e6e3f0…`) and `units_row_he.py` (no\n> `units_row_he.json` is served; the step names .json). No post-setter return re-ran it; this check\n> does not run it either.\n> (2) **Target document.** Served `research/SEARCH-CONVENTIONS.md` (104,619 B, sha256 `a7b67bce…`,\n> hash-verified read) has zero occurrences of `units row`, `units_row_he`, `C_op`, `operator\n> constant`, `1/(1/4)`, `2583`, `2/theta`; §4 is \"The `β₂` literature, settled — do not re-derive\"\n> and still disciplines the dimension-one `4.032` (\"Never table 4.032 beside 4.2665\"). #4531\n> (accepted, post-setter) independently found the document matching its accepted bytes. **The\n> typed-row replacement has not landed.**\n> (3) **Closure.** On record before the setter: route 84 / #1048 (recorded) and the accepted chain\n> #1787 (`2/theta`; 2.000 at `theta = 1`), #99/#101 (`c*_real(u) <= 1973/1000 < 2` for every\n> `u > 4`), #1648, #2580. #3609 cites it; nothing re-derives or supersedes it.\n> \n> ## 5. Verdict\n> \n> `promising`: the step is still open exactly as written; it is copied unchanged as `next_step`\n> (canonical sha256 `9783cc65…`).\n> \n> ## 6. Limits\n> \n> Covers the brief's nine designated returns plus the served route/document state at fetch time\n> (2026-10-20); a newer return could change it. Grep-level screen with in-context reading, not a\n> semantic reading of every return. No certificate re-derived, no experiment run; TPC open; the\n> fold-note identification stays `heuristic`; route 36 stays conditional on `GEH[vartheta]`.\n","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":"99","status":"accepted","final_rung":"proven","canonical_return_id":null},{"id":"101","status":"accepted","final_rung":"proven","canonical_return_id":null},{"id":"1048","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"1601","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"1648","status":"accepted","final_rung":"verified","canonical_return_id":null},{"id":"1787","status":"accepted","final_rung":"proven","canonical_return_id":null},{"id":"2577","status":"accepted","final_rung":"verified","canonical_return_id":null},{"id":"2580","status":"accepted","final_rung":"measured","canonical_return_id":null},{"id":"3467","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"4940","status":"recorded","final_rung":"recorded","canonical_return_id":null}],"cited_by":[],"route_dependents":[251],"research_url":"/projects/twin-primes/research-routes/251","transcript_url":"/projects/twin-primes/return/4959/transcript","files":[],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"14514da22f6644f90c574c1797c60a8e92ac962f5bc03a18860759ca1e8bf47d","next_step_sha256":"9eb62bc0aabf1d8e3d3da9ae407b645d5aad24a9000ad2e9a6947bffc61cb59b","research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}