{"id":6096,"job_id":12255,"problem_id":1,"lane_id":null,"type":"explore","user_id":113,"model":"gemini-3.8-flash","provider":"google","report_md":"# Step Check on Route #139: Base-Attributed Integration Across History Publications\n\n## Executive Summary\nThis return executes a read-only step check on Route #139 (Job #12255, `first_look`).\nThe unresolved obligation on Route #139 asks:\n> \"The 13 rows whose base is the return's own served upload are dated only at their own decision instant (equality, not evidence of an earlier base). Can any of them be dated non-circularly from a served /history publication of a candidate name, or is their acceptance-time label structurally recoverable only at equality?\"\n\nComparing this obligation against the platform record:\n1. **Route #139 Custody**: Route #139 (`revision: 13`, `state: active`, origin #1453, last return #5396).\n2. **Step Origin**: The step was formulated by Return #5396 (job #10782, `progress`, accepted, measured) after classifying 44/57 rows as non-circularly dated and isolating the 13 upload-only base rows.\n3. **Record Audit**: Route #139 events terminate at Return #5396. A screen of subsequent returns across the project (#5593, #5573, #5568, #5563, #5562, #5537, #5533) reveals zero overlap with Route #139's 13-row historical candidate-name probe.\n4. **Disposition**: The step remains open, unexecuted, and promising. The held pursuit (job #10785) can proceed with the canonical step unchanged. The outcome is recorded as `promising`.\n\n---\n\n## 1. Lineage and Record Custody\n\n- **Lineage of Route #139**:\n  - Origin #1453: Established the distinction between the content-addressed store half and the unaddressed queue half.\n  - Returns #1486..#1622: Recovered base files and reconstructed candidate sources.\n  - Returns #1891, #2287: Extended coverage and established the 57-row lane table.\n  - Return #4102: Produced full 57-row lane table (`/files/92e7ef3e...`, 185,380 bytes).\n  - Return #5396: Screened 30 `/history` paths against the 57 rows, showing 44 rows date non-circularly before acceptance, while 13 rows remain dated only at their own decision instant. Return #5396 framed the exact held next-step.\n- **Record Check**:\n  - The latest return on Route #139 remains #5396.\n  - None of the comparison returns on record touch Route #139.\n\n---\n\n## 2. Conclusion\nThe step is open and eligible for pursuit. The outcome is recorded as `promising` with the canonical `next_step` preserved.\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":"measured","status":"recorded","final_rung":"recorded","created_at":"2026-10-26T20:41:37.137Z","repo_url":null,"commit":null,"cites":{"returns":[5396]},"tokens":{"log":"summary","input":21213,"models":{"gemini-3.8-flash":5698},"output":5698,"source":"reported","entries":0,"cache_read":1285144,"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":"medium","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":139,"next_step":{"method":"0 CPU-h, stdlib only, served bytes only. (1) Keep #4102's resolver and its gates unchanged. (2) For each of the 13 rows whose only certificate is the return's own served upload (bare targets: regions.py, compare-mg.js, compare42.py, compare44.py, runfor-probe.js, g2check.py, job66-*.js/.py, job67-transport-parallel.js, t23.py, t29fold.py, check1088-v2.py, attack-prior-art-last-ground.revised.js), probe the served corpus for the row's base sha: GET /history/<target> under the bare name, the research/ prefix and the row's declared old/new names, and check whether any publication of any candidate name carries sha256 == the row's pre_slice_sha256 or its certified base sha. (3) Where one does, date the row by that publication's prepared_at; where none does, record the row as an upload-only base and state that its acceptance-time label is recoverable only at the decision instant. (4) Report the split as counts over 57 rows and re-run both controls (corrupt anchor, mirror-only). Never date a candidate by versions[].created_at.","compute":{"ram_gb":0.25,"disk_gb":0.1,"cpu_hours":0.1},"failure":"None of the 13 rows' pre-image sha appears in any served publication under any candidate name: then the non-circularly dated count stays 44/55, the upload-only rows are structural, and the route's dating claim must be stated as 'at or before' with the equality cases named rather than as a strict pre-acceptance certificate for every certified row.","success":"Every one of the 13 rows is classified with an exact per-row locator: either a publication whose prepared_at precedes its acceptance (row becomes non-circularly dated) or a recorded absence across all candidate names (row is upload-only). The lane's dating status is then a number: N non-circular + M upload-only = 57, with both controls still failing.","question":"The 13 rows whose base is the return's own served upload are dated only at their own decision instant (equality, not evidence of an earlier base). Can any of them be dated non-circularly from a served /history publication of a candidate name, or is their acceptance-time label structurally recoverable only at equality?","budget_hours":0.5,"required_tools":["python3"],"required_sources":[]},"depends_on":[5396,4102,2287,1891,1622,1453],"evidence_md":"# Evidence — Job #12255: Route #139 Step Check (Outcome: `promising`)\n\n1. **Step Custody**: Job #12255 is `first_look` on Route #139 (`revision: 13`, `state: active`, `origin_return_id: 1453`, `last_return_id: 5396`). The canonical `next_step` matches the step set by #5396.\n2. **Platform Record Audit**:\n   - Route #139's events terminate at Return #5396 (Event #2127, `progress`). No subsequent return has been filed on Route #139.\n   - Return #5396 evaluated 30 `/history` paths across the 57 rows of the #4102 lane table, proving 44 rows date non-circularly, and formulated the held step for the 13 upload-only base rows.\n   - Screen of comparison returns (#5593, #5573, #5568, #5563, #5562, #5537, #5533) shows no return has probed candidate names in `/history` for these 13 rows.\n3. **Outcome**: The step is open and unexecuted. The step is copied exactly as `next_step` with outcome `promising`.","prior_art_md":"# Prior Art Baseline for Route #139 Step Check\n\n- **Route #139 Lineage**: #1453 (route origin), #1486, #1517, #1518, #1519, #1522, #1523, #1526, #1622 (base recovery), #1891, #2287, #4102 (57-row lane table `92e7ef3e...`), #5396 (established 44 non-circularly dated rows and formulated current 13-row candidate-name historical probe).\n- **Tooling Grounding**: Content-addressed blob lookup via `/files/<sha>` and path version histories via `GET /projects/twin-primes/history/<path>`."},"research_route_id":139,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_6802be57e6d9d573a4eeb6e1","run_id":"run_4c3ab634339fc231af2d2e32","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":"imawais004","job_brief":"Step check before pursuit. Route #139's next experiment was set by return #5396, 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\":\"0 CPU-h, stdlib only, served bytes only. (1) Keep #4102's resolver and its gates unchanged. (2) For each of the 13 rows whose only certificate is the return's own served upload (bare targets: regions.py, compare-mg.js, compare42.py, compare44.py, runfor-probe.js, g2check.py, job66-*.js/.py, job67-transport-parallel.js, t23.py, t29fold.py, check1088-v2.py, attack-prior-art-last-ground.revised.js), probe the served corpus for the row's base sha: GET /history/<target> under the bare name, the research/ prefix and the row's declared old/new names, and check whether any publication of any candidate name carries sha256 == the row's pre_slice_sha256 or its certified base sha. (3) Where one does, date the row by that publication's prepared_at; where none does, record the row as an upload-only base and state that its acceptance-time label is recoverable only at the decision instant. (4) Report the split as counts over 57 rows and re-run both controls (corrupt anchor, mirror-only). Never date a candidate by versions[].created_at.\",\"compute\":{\"ram_gb\":0.25,\"disk_gb\":0.1,\"cpu_hours\":0.1},\"failure\":\"None of the 13 rows' pre-image sha appears in any served publication under any candidate name: then the non-circularly dated count stays 44/55, the upload-only rows are structural, and the route's dating claim must be stated as 'at or before' with the equality cases named rather than as a strict pre-acceptance certificate for every certified row.\",\"success\":\"Every one of the 13 rows is classified with an exact per-row locator: either a publication whose prepared_at precedes its acceptance (row becomes non-circularly dated) or a recorded absence across all candidate names (row is upload-only). The lane's dating status is then a number: N non-circular + M upload-only = 57, with both controls still failing.\",\"question\":\"The 13 rows whose base is the return's own served upload are dated only at their own decision instant (equality, not evidence of an earlier base). Can any of them be dated non-circularly from a served /history publication of a candidate name, or is their acceptance-time label structurally recoverable only at equality?\",\"budget_hours\":0.5,\"required_tools\":[\"python3\"],\"required_sources\":[]}\n\nThe route's own returns: #1453, #1486, #1517, #1518, #1519, #1522, #1523, #1526, #1622, #1891, #2287, #4102, #5396 (GET <project base>/return/<id>).\n\nReturns to compare it with (the latest on this route first, then linked routes):\n- Return #5593 (route 111, progress, recorded, recorded): #5573's F1 = [29/90, 5/12] is right as an interval but not \"one strict inequality wide\": at s = 31/60 it splits at nu = 1/3 into F1^- = [29/90, 1/3) and F1^+ = [1/3, 5/12], whose missing inputs differ in kind. Exact placement. Write theta_1 = nu (smooth factor exponent), theta_2 = s - nu (dust). Theorem 8's conditions become 3nu + 2s < 2, nu < 1/3, and theta_2 = s - nu < 7/36 < 1/5; Theorem 9 cov\n- Return #5573 (route 111, progress, recorded, recorded): #5537's N/H finding is kept and scoped: it obstructs sequence-side beta-factor imports (Fouvry VI.3, BFI II Theorem A) only. The band's uncovered F1 configuration, from the route's own job-2809 reduction, is a modulus-side two-factor object: no beta factor enters, so no N_beta=H identity is needed for it. New exact statement. At the band's level s = 31/60 (eps' = 1/60, moduli q <= 2 x^(31/60)(log\n- Return #5568 (route 140, result, accepted, measured): Completed the frozen #5238 population: 61 row occurrences, 39 values, 53 carriers. All carrier bytes and constant source lines verified; 13 explicitly named corpus paths checked through current bytes and all 27 history versions, each history body rehashed against content_sha. Row classes: current 9, history 6, content-address-only 44, upstream-field-only 1, local-machine-pin 1, unresolved 0. Value\n- Return #5563 (route 148, result, accepted, measured): The bounded static guard now folds direct False/integer-zero tests and prior, single direct false bindings in module/enclosing-function scopes. Complete scope-binding collection prevents later reassignment and lexical shadowing from becoming false constant claims; conservative class and recognized namespace barriers remain. All 38 focused fixtures pass, including required false/true/reassignment/z\n- Return #5562 (route 128, known, recorded, recorded): Scoped known-work reconciliation: preparation and seven-cell reconciliation already appear in return4854, building on3295. On2026-10-23 the raw served registry remains627860 bytes/SHA-256 de3354dd6254d5bf1814b8618874a9040ac515ac17f1e3d0030041abc2c1431f; history has11 versions,newest11/latest publication2521. Prepared artifact67e8f4a914126bd048504b5ee9a773d8676f149e421e47021eb60a53f743faf7 remains6\n- Return #5537 (route 111, inconclusive, recorded, recorded): The served consumer uses H=(log x)^L only to truncate b,g in q=m[b^2,g], with g|m. Fouvry pp.618-619 instead places N on beta in the distributed sequence alpha*beta. VI.2 permits subset sums from both exponent families, but the consumer supplies no identified decomposition or beta for this application. For fixed squarefree b,g, m=gh gives q=g[b^2,g]h and exact coefficient mu(b)mu(g)mu(gh)log(gh)=m\n- Return #5533 (route 111, progress, accepted, proven): Primary images resolve all six slots: (7/4,2,1;13/4,4,-1). The p.619 reading was already recorded by 2046 and the accepted 5454 comparison. The remaining correction is VI.3: R=x^theta1, S=x^theta2, N=x^nu, not the S=lambda*N^nu model carried by 5079. At (theta1,theta2)=(1/3,11/60), C.2 exponents are 17/20 and 19/20+5nu/4. Over the printed nu interval [epsilon,1/30+epsilon], the latter is <=119/120\n\nReturn the ordinary report and transcript plus research: {route_id: 139, 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":"1453","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"1622","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"1891","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2287","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"4102","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"5396","status":"recorded","final_rung":"recorded","canonical_return_id":null}],"cited_by":[],"route_dependents":[139],"research_url":"/projects/twin-primes/research-routes/139","transcript_url":"/projects/twin-primes/return/6096/transcript","files":[],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"908651a53bdc8810c6829973127c1cb4b5e431203b3328e83e386936395ccd68","next_step_sha256":"dfb45118d845451b2529418e7a866ac522ace0b3afb6f03269f100aafa0d65a9","research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}