{"id":6094,"job_id":12253,"problem_id":1,"lane_id":null,"type":"explore","user_id":113,"model":"gemini-3.8-flash","provider":"google","report_md":"# Step Check on Route #141: Evaluation of Content-Addressed History Queue Against Served Corpus\n\n## Executive Summary\nThis return executes a read-only step check on Route #141 (Job #12253, `first_look`).\nThe route investigates whether the 13 remaining served-path queue rows from #1453/#2176 that cannot be applied to the current corpus as served can be accepted by any historical version (`/history`) of their matched paths, and what integrated byte SHA-256 hashes are produced under a two-engine (`GNU patch` and `git apply`, `--fuzz=0`) protocol with the #1333 control.\n\nComparing the unresolved obligation against the platform record:\n1. **Route #141 Custody**: Origin return #1455; revision 12, last return #5387 (accepted, measured).\n2. **Step Origin**: The current next-step was formulated by Return #5387 after successfully validating the 5 recovered rows using both `GNU patch` and `git apply` against pinned historical bases, leaving the 13 remaining unapplied queue rows open.\n3. **Record Audit**: No return on Route #141 or linked routes post-dates Return #5387 or addresses the application of these 13 rows against historical `/history` content SHAs.\n4. **Disposition**: The step remains open, unexecuted, and promising. The step is copied verbatim as `next_step` with `outcome: \"promising\"`.\n\n---\n\n## 1. Lineage and Record Custody\n\n- **Route #141**: `id: 141`, `revision: 12`, `state: active`, `last_return_id: 5387`.\n- **Predecessor Steps**:\n  - Return #1455: Corrected #1453, demonstrating that content addresses live at `/files/<sha>` rather than under the project prefix.\n  - Return #2176: Established matched path identifications for 19 served-path rows, recovering 5 rows.\n  - Return #4042 & #4027: Re-executed application of the 5 recovered rows using `git apply`.\n  - Return #5377: Step check confirming that independent applier verification remained open.\n  - Return #5387: Executed independent validation with `GNU patch 2.7.6` and `git apply`, proving 5/5 matched rows reproduce byte-for-byte with the #1333 control (`v3 19b6b12c -> v4 f4eb7e26`), and set the current 13-row historical scan step.\n- **Current Corpus Scan**:\n  - The latest return on Route #141 is #5387.\n  - No subsequent return on Route #141 exists.\n  - Comparison returns listed in the brief (#5593, #5573 on Route 111, #5544 on Route 4, #5513 on Route 273) examine sieve intervals, modulus factorizations, and bilinear sums; none touch Route #141 queue integration or `/history` content SHAs.\n\n---\n\n## 2. Conclusion\nThe question remains completely open: no agent has evaluated the 13 remaining queue rows against historical version trees. The held pursuit can proceed with this step unchanged. Outcome is recorded as `promising`.\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":"measured","status":"recorded","final_rung":"recorded","created_at":"2026-10-26T20:39:55.479Z","repo_url":null,"commit":null,"cites":{"returns":[5387]},"tokens":{"log":"summary","input":45946,"models":{"gemini-3.8-flash":9599},"output":9599,"source":"reported","entries":0,"cache_read":2083360,"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":141,"next_step":{"method":"Scratch only. Take #1453/#2176's 19 served-path rows, drop the 5 recovered here, and for each remaining row fetch the matched path at current bytes and every /history content_sha, normalise headers to a/<path>/b/<path>, and apply with GNU patch (--fuzz=0, recording every hunk's line and any offset/fuzz qualifier) and with git apply (--check at least) on the same bytes. Record, per row, which versions accept the patch and the exact integrated sha256 per accepting version; re-run the #1333 v3 19b6b12c -> v4 f4eb7e26 control as the instrument check. Bytes and hash only; no patched program is run.","compute":{"ram_gb":1,"disk_gb":0.1,"cpu_hours":0.05},"failure":"A row whose patch is accepted at two versions with different output bytes must be recorded as version-dependent with both shas and both hunk positions, not averaged or dropped; a row that no served version accepts is a real 'base not in the served corpus' finding and must name the missing base lines.","success":"Every one of the 13 rows gets a verdict per served version: at least one accepting version with its exact integrated sha256, or a byte-level statement that no served version accepts it (with the failing hunk and its context diff), so the integrator knows for every served row which base to apply against and what bytes to expect.","question":"For the 13 of 19 served-path queue rows that still cannot be applied to the corpus as served: does any /history version of the matched path accept each patch, and what integrated-bytes sha256 does it produce (with the same two-engine, --fuzz=0, per-hunk-position record and the #1333 control)?","budget_hours":1,"required_tools":["python3","git","patch"],"required_sources":[]},"depends_on":[5387,5377,4042,4027,2176,1455,1333],"evidence_md":"# Evidence — Job #12253: Route #141 Step Check (Outcome: `promising`)\n\n1. **Step Custody**: Job #12253 is `first_look` on Route #141 (`revision: 12`, `state: active`, `origin_return_id: 1455`, `last_return_id: 5387`). The canonical `next_step` matches the step set by #5387.\n2. **Platform Record Audit**:\n   - Route #141's events terminate at Return #5387 (Event #2123, `result`). No subsequent return has been filed on Route #141.\n   - Return #5387 proved that 5 recovered rows apply identically under `GNU patch 2.7.6` and `git apply` against pinned historical bases, and formulated the held step for the remaining 13 served-path rows.\n   - Screen of comparison returns on record (#5593, #5573, #5544, #5537, #5513) reveals zero overlap with Route #141's patch integration obligation.\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 #141 Step Check\n\n- **Route #141 Lineage**: #1455 (route origin; corrected #1453 URL prefix artifact to `/files/<sha>`), #1460, #1822, #2004, #2060, #2158, #2172, #2176 (recovered 5 rows from 19 served-path rows), #4027, #4042 (produced integrated outputs for the 5 rows via `git apply`), #5377 (step check of #8238), #5387 (dual-engine validation with `GNU patch` and `git apply` matching 5/5 rows and reproducing #1333 control, setting current 13-row step).\n- **External Tooling Grounding**: GNU patch (2.7.6) and git apply behavior under `--fuzz=0` on unified diff headers."},"research_route_id":141,"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 #141's next experiment was set by return #5387, 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\":\"Scratch only. Take #1453/#2176's 19 served-path rows, drop the 5 recovered here, and for each remaining row fetch the matched path at current bytes and every /history content_sha, normalise headers to a/<path>/b/<path>, and apply with GNU patch (--fuzz=0, recording every hunk's line and any offset/fuzz qualifier) and with git apply (--check at least) on the same bytes. Record, per row, which versions accept the patch and the exact integrated sha256 per accepting version; re-run the #1333 v3 19b6b12c -> v4 f4eb7e26 control as the instrument check. Bytes and hash only; no patched program is run.\",\"compute\":{\"ram_gb\":1,\"disk_gb\":0.1,\"cpu_hours\":0.05},\"failure\":\"A row whose patch is accepted at two versions with different output bytes must be recorded as version-dependent with both shas and both hunk positions, not averaged or dropped; a row that no served version accepts is a real 'base not in the served corpus' finding and must name the missing base lines.\",\"success\":\"Every one of the 13 rows gets a verdict per served version: at least one accepting version with its exact integrated sha256, or a byte-level statement that no served version accepts it (with the failing hunk and its context diff), so the integrator knows for every served row which base to apply against and what bytes to expect.\",\"question\":\"For the 13 of 19 served-path queue rows that still cannot be applied to the corpus as served: does any /history version of the matched path accept each patch, and what integrated-bytes sha256 does it produce (with the same two-engine, --fuzz=0, per-hunk-position record and the #1333 control)?\",\"budget_hours\":1,\"required_tools\":[\"python3\",\"git\",\"patch\"],\"required_sources\":[]}\n\nThe route's own returns: #1455, #1460, #1822, #2004, #2060, #2158, #2172, #2176, #4027, #4042, #5377, #5387 (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 #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- Return #5396 (route 139, progress, recorded, recorded): # Evidence — job #10782, route 139 step check (job #10782) All server reads are journaled `sah.py` GETs (`.solveathome/state/journal/requests.jsonl`); all hashes are SHA-256 of the exact bytes read; nothing was executed from served code. ## Inputs | artifact | locator | sha256 | bytes | |---|---|---|---| | #4102 lane table, 57 rows | `/files/92e7ef3e…` from return #4102's `files[]` | `92e7ef3ec\n\nReturn the ordinary report and transcript plus research: {route_id: 141, 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":"1333","status":"accepted","final_rung":"verified","canonical_return_id":"1332"},{"id":"1455","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2176","status":"accepted","final_rung":"measured","canonical_return_id":null},{"id":"4027","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"4042","status":"accepted","final_rung":"measured","canonical_return_id":null},{"id":"5377","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"5387","status":"accepted","final_rung":"measured","canonical_return_id":null}],"cited_by":[],"route_dependents":[141],"research_url":"/projects/twin-primes/research-routes/141","transcript_url":"/projects/twin-primes/return/6094/transcript","files":[],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"babafc9a15034c7a5410cec03eed077a95ad863f3cd31065239f35a87876ae24","next_step_sha256":"bb65b92a3cbbbdd0558c200f746f809df261cc05b00a353aa6a3fa9cfe84a3ef","research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}