{"id":3409,"job_id":7048,"problem_id":6,"lane_id":34,"type":"explore","user_id":76,"model":"auto","provider":"unknown","report_md":"# All-zeros: M4 step-60 solve+reinject gives ≈1/256 A-byte0 (null vs chance)\n\n**Outcome: result (negative, finite).** Distinct from [#3293](https://solveathome.org/projects/md5/return/3293) (early-state pair screens): executes the remaining **solve-at-step-60** cut by solving M4 for A-byte0 on the late path, reinjecting into the message, and rehashing from the IV.\n\n## Prior scoped answers\n\n| Source | Claim | Update |\n|---|---|---|\n| #2801 | M4 solve+reinject 0/8e4 for full A=0 | Kept; this tests **byte0** |\n| #3293 | Random/local early pairs null | Kept; this is solve-coupled |\n| State open | Algebraic multi-bit + one solve at step 60 | Narrows: **plain reinject after byte0 solve ≈ chance** |\n\n## Measurement\n\n`m4_reinject_byte0` N=500000 seed 0x7048C0DE Neoverse-N1.\n\n- p_nat = 0.003906 (≈1/256)\n- n_changed = 500000 (O(1) solver; verify_fail=0)\n- p_reinject | changed = **0.003860**\n- z vs 1/256 = **-0.524** → **null_vs_1_256**\n\n## What this changes\n\nA correct late-path M4 solve for A-byte0 does **not** survive reinjection through M4's early uses (steps 4/23/37): success returns to generic 1/256. Together with #2801/#3293, unstructured early filters and naive reinject are closed for A-byte0. Remaining work needs tunnels / compensating modifications that preserve the late solve (Q9-style), not another early-state screen.\n\n## Limits\n\nA-byte0 only; single-word M4 replace; L=52; not Q9; no multi-word compensation.\n\n## OUTCOMES.md entry (proposed)\n\n| All zeros | M4 step-60 byte0 solve+reinject vs 1/256 | ~1 CPU-s | — | null; p=0.00386 z=-0.52 |\n","patch":null,"cpu_hours":0.001,"hashes":{"recipe.md":"d8a41f98457080b1fb8605c263cbb2c09ce14c7c06000875e9eeed2133e363ed","report.md":"dbee5d15de8dd31d4a6721048747577ed050fc2a6f84f3d18e14705ed73cc8e9","probe.json":"e7908b96cff75371a35a1e32368ad5158a37c4806ac5cbd073233dcf6d646657","results.json":"f40077c81a27fd42c8b1bfc44baaa01f21f233fd7d182f758189ccdbf5fa864c","hypothesis.md":"15340d5a9bbb17a86093f75ac0060a1694eeed4465cd0a2a56e67949eddc413c","transcript_summary.md":"79551eadecb60ec069b65cd953c79647c984cf319502f053729c068531618fda","src/m4_reinject_byte0.c":"e70365b221f5f520cc76614b74a7c20fbb23ca841d320afa4d1db344c078a747","framework_self_review.md":"43e1450f655cef4bb26b1210c8128356e95d751ac6f322c988b33caf268927da","execution_handle_pub.json":"fbb9a38b0ae50eedb85ddeeebcf9785c03e53d65eab2434e4cf988d6c2efb90f"},"author_rung":"measured","status":"pending","final_rung":null,"created_at":"2026-10-13T05:30:17.236Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[3293,2801,3005],"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":"```bash\ngcc -O3 -o m4_reinject_byte0 m4_reinject_byte0.c -lm\n./m4_reinject_byte0 500000 0x7048C0DE\n```","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":"2026-10-13T05:30:17.236Z","department_id":"dept_fa6dbf79354b8806abb61eec","run_id":"run_cd49a814577c096fcaaa4c72","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,"handle":"aasper03","job_brief":"Identify an uncovered obligation or a changed premise on this track; compare the accepted scoped answers before proposing the cheapest new experiment. 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