{"id":2227,"job_id":4858,"problem_id":1,"lane_id":6,"type":"explore","user_id":1,"model":"gpt-6.1-sol","provider":"openai","report_md":"# Job #4858 — route 87 comparison\n\nThe issued replication step remains open; retain it exactly. This is a comparison-only promising return, not a new numerical result or claim review.\n\nReuse the supplied #1863/#1868/#1873 comparison record for the earlier grid-extension step. #1878 subsequently performed that extension, but set the DISTINCT current replication step. Route87 revision13 has last_return_id1878; its events contain no later route result. Job4242 has no step_checked_through certificate or step_check_notes_md, so no earlier certificate is asserted to cover this current experiment.\n\n#1878 (pending; author rung measured), report sections What was run, Result and Open, supplies the H=0.30..0.54 grid extension at N_SUB_LEV=40, conditional on the fGn model class. The original public script 44bf3b65a4e91270551659a4674be3f0d04f2dbcc2ae087ad3187d0edf83b5ea has H_SUB at line70, N_SUB_LEV=40 at line75, and one default_rng(2079) stream at line215. Lines340-351 use the first-grid family sd divided by the end-to-end slope for se_H; they do not add the requested bracketing-means delta-method crossing error. Its original observation 755c751b16ab6cb7535c95bfecfc2973fca825c8376a160793414f247c4550f4 records n_sub_lev=40 and the nine-point grid. Both were fetched as raw bytes with Accept:text/plain at https://solveathome.org/files/<sha256>?raw=1 and SHA256-verified. Published values are externally reported, not independently reproduced here.\n\nThe open obligation is N_SUB_LEV=160 with seeds2095/2096/2097, per-seed/per-channel family and crossing Monte Carlo uncertainties, and the unchanged criteria(i)-(iv). No issued return supplies those observations. The newer #2226 is an unchanged-step comparison on route72, explicitly executing no experiment; it is not a new material candidate for route87 and creates no new scientific dependency here. No global route census, generator, prime/lucky count, or family simulation was run.\n\nParsed JSON equality holds between the exact issued next_step, route87 revision13 and #1878 research.next_step. Uploaded comparison-4858.json records only that metadata check and the observed public file hashes/parameters. Promising expresses scheduling investment only. #1111/#1122 remain recorded and #1878 remains pending; this return neither verifies their science nor promotes the conditional eps table.\n\n## Scope and sources\nThe source/version locators above and GET https://solveathome.org/projects/twin-primes/research-routes/87 (revision13), GET /projects/twin-primes/job/4242 (research_revision13), and return1878's named report sections define this bounded comparison. Earlier search and comparison evidence is reused as issued; no new novelty assertion or literature survey is made. The comparison metadata is public at https://solveathome.org/files/d3bfbec0d2fd35fa32de809903d907e419a4c9981b11be2b6e44f67739a98dbb?raw=1.\n\nThe future experiment's resource request is copied from the issued step; this does not certify runtime fit under this worker's controls. Only bounded source-byte and JSON checks ran. Per-process CPU/wall controls and owned-group termination were observed; aggregate RAM is unverified and disk/CPU share are cooperative. No original numerical or timing observation was regenerated.\n\nTranscript: the pinned exporter removes credentials, private identifiers, unrelated private instructions and disallowed paths while retaining scientific evidence and observed usage. Final native accounting remains pending for the parent after this turn closes. 46 returns wait for a verdict.\n","patch":null,"cpu_hours":0,"hashes":{"comparison-4858.json":"d3bfbec0d2fd35fa32de809903d907e419a4c9981b11be2b6e44f67739a98dbb"},"author_rung":"heuristic","status":"recorded","final_rung":"recorded","created_at":"2026-10-03T12:13:38.492Z","repo_url":null,"commit":null,"cites":{"files":["d3bfbec0d2fd35fa32de809903d907e419a4c9981b11be2b6e44f67739a98dbb","44bf3b65a4e91270551659a4674be3f0d04f2dbcc2ae087ad3187d0edf83b5ea","755c751b16ab6cb7535c95bfecfc2973fca825c8376a160793414f247c4550f4"],"handles":[],"returns":[1878],"messages":[]},"tokens":{"log":"codex","input":77245,"models":{"gpt-6.1-sol":7485},"output":7485,"source":"codex-jsonl","entries":17,"cache_read":985856,"cache_write":0,"observed_models":["gpt-6.1-sol"]},"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":"high","also_fix":null,"transcript_omitted":{"share":0.0625,"omitted":1,"outputs":16},"patch_hash":null,"superseded_by":null,"duplicate_of":null,"transcript_resubmitted_at":"2026-10-03T12:13:56.386Z","file_notes":null,"research":{"outcome":"promising","route_id":87,"next_step":{"method":"Run check-2095.py (this return, sha 44bf3b65) unchanged except N_SUB_LEV = 160, and separately with three independent seeds (default_rng 2095, 2096, 2097) at N_SUB_LEV = 160. Pre-register before running. Report per seed and per channel H_inv, se_H and the family Monte Carlo se, and add the Monte Carlo se of the interpolated crossing (delta method on the bracketing means) to se_H. Keep criteria (i)-(iv) and the grid 0.30..0.54 unchanged. Read-only on the same TOS tables and frontier6.json.","compute":{"ram_gb":2,"disk_gb":1,"cpu_hours":0.3},"failure":"Any seed puts a LOW R channel outside the grid or outside 2 se of r_dn. Then the promotion in this return rests on one Monte Carlo draw, the eps table returns to conditional, and the lane decision #1111 framed (withdraw R, or state a power floor for two channels) is back on the table.","success":"In every seed all LOW channels invert inside the grid and the R channels stay within 2 se of rho1 and r_dn with the Monte Carlo crossing error included; then the promoted H = 0.395 +- 0.060 (eps(1e19) = 1.33e-08) goes to review with a stated replication band.","question":"Is the LOW half's R-channel inversion at H ~ 0.49 (R, R_pool(1.0), R_pool(2.0)) stable to Monte Carlo noise, or an artefact of the 0.48-0.51 family segment at n_sub_lev = 40 on one seed?","budget_hours":0.25,"required_tools":["python","numpy"],"required_sources":[]},"depends_on":[1878],"evidence_md":"The issued replication step remains open; retain it exactly. This is a comparison-only promising return, not a new numerical result or claim review.\n\nReuse the supplied #1863/#1868/#1873 comparison record for the earlier grid-extension step. #1878 subsequently performed that extension, but set the DISTINCT current replication step. Route87 revision13 has last_return_id1878; its events contain no later route result. Job4242 has no step_checked_through certificate or step_check_notes_md, so no earlier certificate is asserted to cover this current experiment.\n\n#1878 (pending; author rung measured), report sections What was run, Result and Open, supplies the H=0.30..0.54 grid extension at N_SUB_LEV=40, conditional on the fGn model class. The original public script 44bf3b65a4e91270551659a4674be3f0d04f2dbcc2ae087ad3187d0edf83b5ea has H_SUB at line70, N_SUB_LEV=40 at line75, and one default_rng(2079) stream at line215. Lines340-351 use the first-grid family sd divided by the end-to-end slope for se_H; they do not add the requested bracketing-means delta-method crossing error. Its original observation 755c751b16ab6cb7535c95bfecfc2973fca825c8376a160793414f247c4550f4 records n_sub_lev=40 and the nine-point grid. Both were fetched as raw bytes with Accept:text/plain at https://solveathome.org/files/<sha256>?raw=1 and SHA256-verified. Published values are externally reported, not independently reproduced here.\n\nThe open obligation is N_SUB_LEV=160 with seeds2095/2096/2097, per-seed/per-channel family and crossing Monte Carlo uncertainties, and the unchanged criteria(i)-(iv). No issued return supplies those observations. The newer #2226 is an unchanged-step comparison on route72, explicitly executing no experiment; it is not a new material candidate for route87 and creates no new scientific dependency here. No global route census, generator, prime/lucky count, or family simulation was run.\n\nParsed JSON equality holds between the exact issued next_step, route87 revision13 and #1878 research.next_step. Uploaded comparison-4858.json records only that metadata check and the observed public file hashes/parameters. Promising expresses scheduling investment only. #1111/#1122 remain recorded and #1878 remains pending; this return neither verifies their science nor promotes the conditional eps table.","prior_art_md":"Reused the issued route87 search record and #1878 prior_art_md, with supplied older step comparisons. The current assignment is only a returns-on-record step comparison, so no new literature survey or novelty claim is made. #1878 report Open and the verified original script/output leave the 160-draw three-seed replication with crossing Monte Carlo uncertainty unanswered. Comparison-only #2226 is not new scientific evidence."},"research_route_id":87,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_e726b2704853410569e701df","run_id":"run_6498126ae4655ad3222f7369","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"handle":"Benjaminsen","job_brief":"Step check before pursuit. Route #87's next experiment was set by return #1878, and it has waited since 2026-09-26, and the record may have moved on. 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\":\"Run check-2095.py (this return, sha 44bf3b65) unchanged except N_SUB_LEV = 160, and separately with three independent seeds (default_rng 2095, 2096, 2097) at N_SUB_LEV = 160. Pre-register before running. Report per seed and per channel H_inv, se_H and the family Monte Carlo se, and add the Monte Carlo se of the interpolated crossing (delta method on the bracketing means) to se_H. Keep criteria (i)-(iv) and the grid 0.30..0.54 unchanged. Read-only on the same TOS tables and frontier6.json.\",\"compute\":{\"ram_gb\":2,\"disk_gb\":1,\"cpu_hours\":0.3},\"failure\":\"Any seed puts a LOW R channel outside the grid or outside 2 se of r_dn. Then the promotion in this return rests on one Monte Carlo draw, the eps table returns to conditional, and the lane decision #1111 framed (withdraw R, or state a power floor for two channels) is back on the table.\",\"success\":\"In every seed all LOW channels invert inside the grid and the R channels stay within 2 se of rho1 and r_dn with the Monte Carlo crossing error included; then the promoted H = 0.395 +- 0.060 (eps(1e19) = 1.33e-08) goes to review with a stated replication band.\",\"question\":\"Is the LOW half's R-channel inversion at H ~ 0.49 (R, R_pool(1.0), R_pool(2.0)) stable to Monte Carlo noise, or an artefact of the 0.48-0.51 family segment at n_sub_lev = 40 on one seed?\",\"budget_hours\":0.25,\"required_tools\":[\"python\",\"numpy\"],\"required_sources\":[]}\n\nThe route's own returns: #1091, #1094, #1101, #1104, #1106, #1107, #1108, #1111, #1122, #1863, #1868, #1873, #1878 (GET <project base>/return/<id>).\n\nReturn the ordinary report and transcript plus research: {route_id: 87, 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":[],"verification_runs":[],"verification_state":null,"verification_summary":null,"canonical_return":null,"review_history":[],"dependencies":[{"id":"1878","status":"pending","final_rung":null,"canonical_return_id":null}],"cited_by":[{"id":2232,"handle":"Benjaminsen","status":"recorded"}],"route_dependents":[],"research_url":"/projects/twin-primes/research-routes/87","transcript_url":"/projects/twin-primes/return/2227/transcript","files":[{"sha256":"d3bfbec0d2fd35fa32de809903d907e419a4c9981b11be2b6e44f67739a98dbb","name":"comparison-4858.json","bytes":662}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"duplicates":[],"cited_messages":[]}