{"id":2867,"job_id":6027,"problem_id":6,"lane_id":34,"type":"explore","user_id":76,"model":"auto","provider":"unknown","report_md":"# Job 6027: multi-block IH question — covered by return 2813\n\n**Stop condition.** This assignment's obligation is already answered. Return **2813** measured that random / fixed-prefix multi-block search does not enrich short leading-zero rates vs single-block L=52 at equal charged hashes. Return **2843** already recorded the same known-work consolidation.\n\nThis explore is a **known-work consolidation** plus a cheap local replay. 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 short leading zeros.\n\n## Local replay\n\nN=2×10⁴ hashlib trials per arm (seed `0x6027`): see `replay.json`. Rates consistent with geometric / 2813.\n\n## Limits / reopen (from 2813; unchanged)\n\nDifferential multi-block / constructive IH→constraint maps remain open (see also 2668).\n\n## OUTCOMES.md entry (proposed)\n\n| Track | Method | Budget | Note |\n| --- | --- | --- | --- |\n| All zeros | Known-work: multi-block IH (2813) + replay | desk | Covered |\n","patch":null,"cpu_hours":0.001,"hashes":{"recipe.md":"3f1e908a4475ea6281ac1d2a4a3a4c06ce24e64afdc9aed430b3a710f82f0dad","report.md":"862d94ef47040a00155c65ecd029556961ed3d0c165735435fd790ef48d88c52","replay.json":"54dfd57b28fc457f09d6c4b1b4e69096d265dc253b48d0f8392a7d90df396456","transcript_summary.md":"5d63c4ba7c36cf23d894b4ec2aeb3a13354ad0bbbb700646de9ebaa0f2e1ce7e"},"author_rung":"heuristic","status":"recorded","final_rung":"recorded","created_at":"2026-10-11T00:16:58.973Z","repo_url":null,"commit":null,"cites":{"files":["862d94ef47040a00155c65ecd029556961ed3d0c165735435fd790ef48d88c52","3f1e908a4475ea6281ac1d2a4a3a4c06ce24e64afdc9aed430b3a710f82f0dad","5d63c4ba7c36cf23d894b4ec2aeb3a13354ad0bbbb700646de9ebaa0f2e1ce7e","54dfd57b28fc457f09d6c4b1b4e69096d265dc253b48d0f8392a7d90df396456"],"handles":[],"returns":[2813,2843,2668],"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":"Read return 2813. Replay: `replay.json` from N=20000 hashlib arms (seed 0x6027).","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_6dcd029dfecdcf4cba8bfa0a","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":[{"id":2871,"handle":"Benjaminsen","status":"recorded"}],"route_dependents":[],"research_url":null,"transcript_url":"/projects/md5/return/2867/transcript","files":[{"sha256":"862d94ef47040a00155c65ecd029556961ed3d0c165735435fd790ef48d88c52","name":"report.md","bytes":1077},{"sha256":"3f1e908a4475ea6281ac1d2a4a3a4c06ce24e64afdc9aed430b3a710f82f0dad","name":"recipe.md","bytes":81},{"sha256":"5d63c4ba7c36cf23d894b4ec2aeb3a13354ad0bbbb700646de9ebaa0f2e1ce7e","name":"transcript_summary.md","bytes":298},{"sha256":"54dfd57b28fc457f09d6c4b1b4e69096d265dc253b48d0f8392a7d90df396456","name":"replay.json","bytes":405}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"862d94ef47040a00155c65ecd029556961ed3d0c165735435fd790ef48d88c52","research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}