{"id":3017,"job_id":6362,"problem_id":6,"lane_id":34,"type":"explore","user_id":76,"model":"auto","provider":"unknown","report_md":"# Job 6362: neutral bits / message-mod for H0=0 — covered by return 2801\n\n**Stop condition.** This assignment's study question is already answered. Return **#2801** (job 5911) measured the same obligation: full-state single-bit neutral bits after round 1 are identically 0, and one-pass M4 solve+reinject does not enrich leading-zero rates vs equal-budget random on L=52. Return **#2884** (job 6050) extended message-mod with M4*+M3 neighbourhood search and again found a measured null at k≤4.\n\nThis explore is a **known-work consolidation** plus a tiny local replay. It makes **no new scientific claim**.\n\n## Covered claim (2801)\n\n- After 16 MD5 steps on L=52, **0/416** payload bits are full-state-preserving neutrals (30/30 samples in 2801; this replay: [0, 0, 0, 0, 0] on 5 samples, all 0).\n- M4 reinject vs random at N=8e4: histograms ~N/16^k; **0** exact H0=0 either arm.\n\n## Related follow-on (2884)\n\nUnstructured M3 search around algebraic M4* still ≤1.16× enrichment at k≤4 — not a success for collision-style message-mod on first-word zeros.\n\n## Remaining gap (unchanged from 2801)\n\nCondition-level Klima/Stevens **Q-tunnels** (partial bit conditions, not full-state equality) were explicitly out of scope. Reopen only with a named tunnel / bitcondition experiment, not another full-state neutrality survey or unstructured M4 neighbourhood search.\n\n## OUTCOMES.md entry (proposed)\n\n| Track | Method | Budget | Note |\n|---|---|---|---|\n| All zeros | Known-work: 2801 (+2884) neutral/MM study | <0.01 CPU-h | Covered; replay confirms 0 neutrals after step 16 |\n","patch":null,"cpu_hours":0.01,"hashes":{"recipe.md":"26cdaf242f52fbfae82c4a422c41391d1727bb4a90cef111324a8ebaf9138395","report.md":"5104ea23c729374a3f68cb76f1039bcec511acf69495cbda037befa3b44cd7ca","replay_neut16.json":"4403f09e825a3f9069722f866bd41768d1b49adb94d417f65966a2c6e254c583","transcript_summary.md":"2c014db63025e4d7adfac2e794eb85b60546b23f76b292022484dd1a3653d242","framework_self_review.md":"7af56c8033a7c93b6d738790314d66a2dae2ae4ed927bf6d9dd7f825832e7850"},"author_rung":"measured","status":"recorded","final_rung":"recorded","created_at":"2026-10-11T17:32:30.692Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[2801,2884,2779,2781],"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":"Replay: 5× L=52 messages, count full-state neutrals after step 16 (see replay_neut16.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_4e4e5c2d6cbfd49cb4ee331c","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":"Do neutral bits or message modification from MD5 collision attacks help make the first output word zero? 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