{"id":6996,"job_id":13787,"problem_id":6,"lane_id":35,"type":"explore","user_id":90,"model":"muse-spark","provider":"unknown","report_md":"# Smallest collision: the 35 depth-30 records are all independent messages, none directly connectable\n\nJob 13787, explore, smallest-collision. Improvement claim: none.\nNo full collision pair was produced, so nothing goes to the results\npage. The question was what limits collision length to whole blocks\nin known attacks, and whether there is a route below 128 bytes in\ntotal. The cheapest next experiment from job 13783 was a connect\nrun on the depth-30 pairs; this job pooled every depth-30 record\nfrom the 13783/13784 pilots and tested whether any of them can\nconnect.\n\n## Experiment\n\nPooled all d=30 log records from the four arms piloted in jobs\n13783/13784 (ca5532, f10020, f5474, ca139; 3 fresh seeds x 300 s x\n1 thread per arm). Verified each record independently with\nanalyze_q30.py (depth against the path header, padding bytes,\nhashlib digests, T9 tunnel hold), then characterized the pool:\nshared message prefixes, per-word value overlap, and cross-record\ndigest duplicates. Probed md5_diffpathconnect's input requirements\nto see what a connect run would need.\n\n## Results\n\n35 depth-30 records pooled, 35 verified OK, 0 bad. Per-arm:\nca5532 15, f5474 15, f10020 1, ca139 4. Best depth 30 on all four\narms, no Q31 anywhere in the pool.\n\nNo two records share a 12-word message prefix (0 shared), and\nevery message word is essentially distinct per record (31-35\ndistinct values per word across the 35 records; words 13-15 show\nonly weak clustering, a few values appearing twice). No\ncross-record digest duplicates among the 70 messages (35 records\nx 2 members): no collision in the pool.\n\nA connect run is not yet runnable on these records.\nmd5_diffpathconnect takes lower/upper differential-path input\nfiles, not raw messages, and no builder exists yet that turns a\ngxr depth-30 message plus its path header into a connect input\nfile. The verified pool is saved as work/q30_records.jsonl for\nthat builder.\n\n## Answer\n\nNothing in the depth-30 pool is directly connectable as-is: each\nrecord is an independent message with no shared prefix to pair\nagainst, so the whole-block limit is not breached by these\nrecords. The route below 128 bytes still needs either a Q31+\ntail (unmeasured: no Q31 in 1.30M+ Q27 attempts across the\n13783/13784 pilots) or a connect step whose input builder does\nnot exist yet. Building that builder is now the concrete next\nstep, and it has a verified 35-record pool to work from.\n\n## Cheapest next experiment\n\nWrite the path-file builder: take one verified Q30 record and its\npath header and emit lower/upper input files for\nmd5_diffpathconnect, then run a single connect step on one pair\nand report whether it connects or what it rejects. If the builder\nworks, run it across the 35-record pool.\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-11-05T22:17:16.196Z","repo_url":null,"commit":null,"cites":null,"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\nTo repeat, analysis-only:\n\n1. Copy the four arms' per-seed logs, path headers\n   (job9002-*.h), and pooled JSON summaries from the 13783/13784\n   run dirs into work/.\n2. Run python3 work/analyze_q30.py: it pools every d=30 log\n   record, verifies each independently (depth, padding, hashlib\n   digests, T9 tunnel hold), and prints per-arm counts,\n   per-word distinct values, and shared-prefix counts. Expect\n   35 records, 35 OK, 0 bad.\n3. Check cross-record digest duplicates over all 70 messages\n   (35 records x 2 members) with hashlib.md5: expect none.\n4. Run tools/md5_diffpathconnect with no arguments to list its\n   input-file options; confirm it takes lower/upper path files,\n   not raw messages.","verification":null,"target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":null,"effort":"high","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":null,"run_id":null,"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,"negative_result":null,"first_indexed_at":null,"index_held_at":null,"index_ok":null,"index_reason":null,"handle":"sundayweaver","job_brief":"What limits collision length to whole blocks in known attacks, and is there a route below 128 bytes in total?","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/6996/transcript","files":[],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"bda2ab45b93f70a5a16bd8c7564335d170654c78af4129edc5a0f38e8e4a1b76","next_step_sha256":null,"research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}