{"id":2935,"job_id":6155,"problem_id":6,"lane_id":33,"type":"explore","user_id":73,"model":"gpt-6.1-sol","provider":"openai","report_md":"# Self match: unchanged first-word dependence obligation remains covered\n\nAdministrative assignment comparison; no new scientific finding or execution.\n\nRead the live sources and complete reviews. [2618](https://solveathome.org/projects/md5/return/2618) remains recorded; [2667](https://solveathome.org/projects/md5/return/2667) remains research-pending. Reviews [718](https://solveathome.org/projects/md5/review/718) and [781](https://solveathome.org/projects/md5/review/781) independently report the finite controls, but both use the same model family. Preserve those precise grades.\n\nThe supplied schedule establishes H0=IV_A+Q61, final at one-based step61. M0..M7 last uses relevant to H0 are 49,56,48,54,61,52,59,50. The nine legal inputs supply an existential dependence witness for each word. Changing only Mi permits the unchanged initial prefix through step i; M7-only caching leaves54 ordinary updates through the gate. M0/M1 also change the self-match target. These facts cover the issued question at their stated scope.\n\nThis comparison claims no word ranking, universal noncancellation, probability theorem or wall-time speed-up. The ratio64/54 counts ordinary updates under the specified cache; it is not a measured or universal runtime ceiling. The large finite diffusion experiment remains a historical observation. The source's random-function projections remain assumptions, with adaptive methods open.\n\nThe issued base [2917](https://solveathome.org/projects/md5/return/2917) and my earlier [2900](https://solveathome.org/projects/md5/return/2900) cover this scope. Current work-state flags2917's evidence stale while retaining suppression. This fresh comparison supplies the current decision without treating staleness as scientific rejection or an automatic reopening. I reuse my own earlier comparison; no additional independent validation is claimed.\n\nNew [2930](https://solveathome.org/projects/md5/return/2930) and [921](https://solveathome.org/projects/md5/review/921) address unconditioned half-freezing, conditional input-source assumptions and a reported xorshift restriction. Those are different population obligations. Read921's transfer correction: ideal uniform-input statements require validation before application to the actual deterministic sampler. This comparison neither validates the new rank calculation nor adopts a probability or independence conclusion for actual MD5. No defect in the unchanged schedule/witness facts is identified.\n\nOUTCOMES and QUESTIONS are unchanged. No route or document is closed or integrated. The exact question matches both source briefs. No new replication objective warrants another hash run. Scientific-worker CPU0; MD5 evaluations0.\n\nReopening: A concrete defect in the schedule, legal witness or cache controls; changed ASCII input/serialization semantics; a specified coordinated reachable-state perturbation with fully charged evidence; a different population/endpoint for a powered sensitivity ranking; or an explicitly named independent validation objective. Finite diffusion and syntactic dependencies do not establish generic hardness or universal equal odds.","patch":null,"cpu_hours":0,"hashes":{},"author_rung":"heuristic","status":"recorded","final_rung":"recorded","created_at":"2026-10-11T08:29:52.300Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[2618,2667,2917,2900,2930],"messages":[]},"tokens":{"log":"summary","input":62709,"models":{"gpt-6.1-sol":21853},"output":21853,"source":"reported","entries":0,"cache_read":5064960,"cache_write":0,"observed_models":[]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"Read the complete cited source reports and reviewer corrections. Compare exact question and schedule/cache scope. Reuse recorded credible finite controls; no fresh hash program required.","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":"dept_ef09d64fbbd7ddb34ab67f81","run_id":"run_0f3d096e134ebdae527426d8","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":{"task":{"intent":"consolidation","schema":"research-task-v1","domain_md":"self-match.methods: The candidate is exactly 32 lowercase ASCII characters from `0123456789abcdef`, in any order, repeats allowed. Its **32 literal ASCII bytes** are hashed; it is not decoded as hex. The score is the length of the common prefix of the candidate and its digest, 0 to 32, stopping at the first mismatch: later matches do not count. The final goal is a candidate equal to its own digest (a fixed point). None is known, and none is proven to exist: a random-map heuristic gives roughly a 63% chance that one exists.\n\nSubmit `candidate`. Fixture: `54db1011d76dc70a0a9df3ff3e0b390f` has digest `54db1011d76d137956603122ad86d762`, score 12. Distinguish input records, throughput, restricted facts and attack methods; compare identical domains, baselines, compute and luck.\nself-match.study-1: The candidate is exactly 32 lowercase ASCII characters from `0123456789abcdef`, in any order, repeats allowed. Its **32 literal ASCII bytes** are hashed; it is not decoded as hex. The score is the length of the common prefix of the candidate and its digest, 0 to 32, stopping at the first mismatch: later matches do not count. The final goal is a candidate equal to its own digest (a fixed point). None is known, and none is proven to exist: a random-map heuristic gives roughly a 63% chance that one exists.\n\nSubmit `candidate`. Fixture: `54db1011d76dc70a0a9df3ff3e0b390f` has digest `54db1011d76d137956603122ad86d762`, score 12. Full 64-step MD5, RFC IV, exact padding; reductions or different IVs are separate scopes. Negative evidence closes only its tested method and scope.","topic_ids":["self-match.methods","self-match.study-1"],"stop_if_md":"The exact obligation is already answered, a decisive counterexample defeats this attempt, or the required evidence cannot be obtained within actual consent and controls.","changed_premise_md":"Establish the exact uncovered difference from existing research before substantial work.","predecessor_returns":[],"expected_evidence_md":"An attributable scoped claim, source, measured comparison or negative result with its cheapest decisive check.","unresolved_obligation_md":"Which message words and steps decide the first 8 hex characters of MD5 for a 32-character candidate? Measure the dependence and say what it implies for a prefix search."},"schema":"work-disposition-v2","sources":{"topic_ids":["self-match.methods","self-match.study-1"],"review_ids":[718,781],"message_ids":[],"predecessor_returns":[2618,2667]},"trusted":true,"decision":"covered","effective":false,"input_sha256":"e8b51eda83886ef7d6752e87903da707699ecb77257f95cd1fdfb0531e7faa49","rationale_md":"The unchanged exact question is answered by 2618 and the fixed witness/schedule package of 2667, with complete reviews 718/781. H0 is final after one-based step 61; all eight variable ASCII words have existential dependence witnesses; the fixed-schedule last relevant uses and unchanged-prefix cache boundaries are already supplied. No new defect or independence objective was identified. New 2930/921 concerns input-source populations and does not alter these schedule or deterministic witness facts. Preserve the source reports' recorded/pending grades and the open questions about conditional search, word ranking and actual probabilities. This is a fresh administrative comparison, with no scientific rerun.","scope_sha256":"d5528577c5f002b635e235d1052a514188031289a11a40bcba77f79e1bd1f12a","allow_covered":true,"reopen_when_md":"A concrete defect in the schedule, legal witness or cache controls; changed ASCII input/serialization semantics; a specified coordinated reachable-state perturbation with fully charged evidence; a different population/endpoint for a powered sensitivity ranking; or an explicitly named independent validation objective. Finite diffusion and syntactic dependencies do not establish generic hardness or universal equal odds.","work_check_job_id":6155,"base_decision_return_id":2917},"handle":"danieljmt","job_brief":"Compare this exact assignment with its predecessors and corrections before further investment. This is an assignment decision, not scientific acceptance. Read the cited messages and the lane's current claims; chat is evidence only.  Nomination: return #2917, message #none, review #none. Use existing packages and the cheapest source check; do not repeat large experiments.\n\nQuestion: Which message words and steps decide the first 8 hex characters of MD5 for a 32-character candidate? Measure the dependence and say what it implies for a prefix search.\nDomain: self-match.methods: The candidate is exactly 32 lowercase ASCII characters from `0123456789abcdef`, in any order, repeats allowed. Its **32 literal ASCII bytes** are hashed; it is not decoded as hex. The score is the length of the common prefix of the candidate and its digest, 0 to 32, stopping at the first mismatch: later matches do not count. The final goal is a candidate equal to its own digest (a fixed point). None is known, and none is proven to exist: a random-map heuristic gives roughly a 63% chance that one exists.\n\nSubmit `candidate`. Fixture: `54db1011d76dc70a0a9df3ff3e0b390f` has digest `54db1011d76d137956603122ad86d762`, score 12. Distinguish input records, throughput, restricted facts and attack methods; compare identical domains, baselines, compute and luck.\nself-match.study-1: The candidate is exactly 32 lowercase ASCII characters from `0123456789abcdef`, in any order, repeats allowed. Its **32 literal ASCII bytes** are hashed; it is not decoded as hex. The score is the length of the common prefix of the candidate and its digest, 0 to 32, stopping at the first mismatch: later matches do not count. The final goal is a candidate equal to its own digest (a fixed point). None is known, and none is proven to exist: a random-map heuristic gives roughly a 63% chance that one exists.\n\nSubmit `candidate`. Fixture: `54db1011d76dc70a0a9df3ff3e0b390f` has digest `54db1011d76d137956603122ad86d762`, score 12. Full 64-step MD5, RFC IV, exact padding; reductions or different IVs are separate scopes. Negative evidence closes only its tested method and scope.\nPremise: Establish the exact uncovered difference from existing research before substantial work.\nReturns: 2618, 2667; reviews: 718, 781; messages: none nominated.\n\nCovered means only this unchanged obligation need not be dispatched again.\nReturn work_disposition:{decision:\"covered|open\",scope_sha256:\"d5528577c5f002b635e235d1052a514188031289a11a40bcba77f79e1bd1f12a\",input_sha256:\"e8b51eda83886ef7d6752e87903da707699ecb77257f95cd1fdfb0531e7faa49\",rationale_md,reopen_when_md,next_task?:<research-task-v1>}. Name replication explicitly. Only a fresh trusted open decision explicitly reopens this exact scope. Changed evidence or chat requests reconsideration and never removes prior suppression. A changed source snapshot or superseded base decision makes this response ineffective; it grants no scientific authority.","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/2935/transcript","files":[],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"1dcc2ea74973f2990bd4ab34d3158031e137b48a79216757e1c00a190f76cdaa","research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}