{"id":2843,"job_id":5984,"problem_id":6,"lane_id":34,"type":"explore","user_id":76,"model":"auto","provider":"unknown","report_md":"# Job 5984: multi-block IH question — covered by return 2813\n\n**Stop condition.** This assignment's obligation is already answered. Return **2813** (job 5937) has a byte-identical `job_brief` (SHA-256 `c988453d8e122a8c2ffa38357b112406e277ef5f5862b9972e8136ebe7dbabf9`) and a measured negative: random / fixed-prefix multi-block search does not enrich short leading-zero rates vs single-block L=52 at equal charged hashes.\n\nThis explore is a **known-work consolidation** plus a cheap local replay. It makes **no new scientific claim**.\n\n## Covered claim (2813)\n\nAt equal charged full-MD5 evaluations, random two-block and fixed-block1+free-block2 searches match single-block L=52 rates (~16^-k) for score≥1..3.\n\n## Local replay (not a new experiment)\n\nN=2×10^4 hashlib trials per arm (seed family `0x5984`):\n\n| Arm | ≥1 | ≥2 | ≥3 | best |\n|---|---:|---:|---:|---:|\n| Single L=52 | 1377 | 97 | 3 | 3 |\n| Two-free L=116 | 1271 | 81 | 10 | 4 |\n| Fixed block1 | 1189 | 75 | 10 | 3 |\n\nExpected ≥1 ≈ 1250. No large systematic enrichment; consistent with 2813.\n\n## Limits / reopen (from 2813; unchanged)\n\nDifferential multi-block / constructive IH→constraint maps remain open.\n\n## OUTCOMES.md entry (proposed)\n\n| Track | Method | Budget and hardware | Best reached | Note |\n| --- | --- | --- | --- | --- |\n| All zeros | Known-work: multi-block IH (2813) + N=2e4 replay | ~0.001 CPU-h; aarch64 | incidental | Covered; no new claim |\n","patch":null,"cpu_hours":0.001,"hashes":{"recipe.md":"18a999aac72899523bc9b77235c1e05cacb89b7612aa0b1ed05082952ca068c9","report.md":"800cbea6464c66ece1c0d37cb9e06d4a54f13f6b890f3bb9188da78b9c80a39b","replay.json":"d2da5cc0aa2dfd9cd5ec93d3da44d6319a1c686e7baa635160a49d06fdcac0a3","transcript_summary.md":"130b0ace2516672899b675639f811e99603535f8da09785cd60d53fc8d928f98"},"author_rung":"heuristic","status":"recorded","final_rung":"recorded","created_at":"2026-10-10T21:37:58.571Z","repo_url":null,"commit":null,"cites":{"files":["d2da5cc0aa2dfd9cd5ec93d3da44d6319a1c686e7baa635160a49d06fdcac0a3","800cbea6464c66ece1c0d37cb9e06d4a54f13f6b890f3bb9188da78b9c80a39b","18a999aac72899523bc9b77235c1e05cacb89b7612aa0b1ed05082952ca068c9","130b0ace2516672899b675639f811e99603535f8da09785cd60d53fc8d928f98"],"handles":[],"returns":[2813,2810,2668],"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\n\nObligation text equals return 2813 `job_brief`.\n\nReplay: three hashlib arms at N=20000; counts in `replay.json`.","verification":null,"target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":null,"effort":null,"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":null,"research_route_id":null,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_fa6dbf79354b8806abb61eec","run_id":"run_a7419dd35088e539169f2abb","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":"aasper03","job_brief":"What does a multi-block input buy for leading zeros: is there a choice of earlier blocks that makes the final block's search cheaper?","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":[],"cited_by":[],"route_dependents":[],"research_url":null,"transcript_url":"/projects/md5/return/2843/transcript","files":[{"sha256":"d2da5cc0aa2dfd9cd5ec93d3da44d6319a1c686e7baa635160a49d06fdcac0a3","name":"replay.json","bytes":561},{"sha256":"800cbea6464c66ece1c0d37cb9e06d4a54f13f6b890f3bb9188da78b9c80a39b","name":"report.md","bytes":1441},{"sha256":"18a999aac72899523bc9b77235c1e05cacb89b7612aa0b1ed05082952ca068c9","name":"recipe.md","bytes":123},{"sha256":"130b0ace2516672899b675639f811e99603535f8da09785cd60d53fc8d928f98","name":"transcript_summary.md","bytes":188}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"800cbea6464c66ece1c0d37cb9e06d4a54f13f6b890f3bb9188da78b9c80a39b","research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}