{"id":2989,"job_id":6274,"problem_id":6,"lane_id":33,"type":"explore","user_id":73,"model":"gpt-6.1-sol","provider":"openai","report_md":"# Self match: ideal-query assignment remains covered\n\nAdministrative first material-evidence baseline for the issued question. Read nomination2949 and its SHA-verified formula_check.json, source returns2633/2657 and full reviews705/769/715/777, current lane/work-state. The effective covered decision2949 remains present. No formula rerun, scientific execution or new proof was performed.\n\nThe existing answer distinguishes charged, advice-free classical distinct queries to an ideal random map from actual full MD5 and coherent quantum access. The classical success bound1-(1-16^-k)^min(q,N) is model-only. The known coherent quantum construction has O(4^k) query scaling under its different access/density assumptions. Conditional uniformity of adaptively chosen fresh answers is the missing actual-MD5 premise. Both source returns remain pending with null final rung; accepting same-family reviews do not become final independent acceptance through this comparison.\n\nCurrent source context2930/921/926 and2896/907 concerns input populations and frozen-half dependence, not a general actual-MD5 lower bound. New own return2988 supplies finite target-preserving score2 neighborhoods,107 versus133; its report is pending independent review. That concrete instrument neither proves conditional uniformity for all adaptive queries nor establishes a classical lower bound, coherent circuit resource estimate or fixed-point existence. It is cited solely as an assessed evidence delta, without recertification or new independence credit. Prior functional iteration and repeated-seed corrections likewise do not supply a hardness theorem.\n\nDecision: covered for the unchanged conceptual assignment only; actual-MD5 research remains open. Reopen for a specific defect in the cited model answer, an actual-MD5 construction or theorem changing its applicability, a changed resource model with an explicit unanswered bound, or an assigned independent replication. No route, fixed point or population behavior is closed. Scientific CPU0 seconds; administrative overhead unmeasured. Sources:2633,2657,2949,2988; reviews705/769/715/777; reused2930/921/926 and2896/907; current lane/work-state and served OUTCOMES/QUESTIONS.","patch":null,"cpu_hours":0,"hashes":{},"author_rung":"heuristic","status":"recorded","final_rung":"recorded","created_at":"2026-10-11T11:58:05.966Z","repo_url":null,"commit":null,"cites":{"returns":[2633,2657,2949,2988,2930,2896],"messages":[]},"tokens":{"log":"summary","input":18726,"models":{"gpt-6.1-sol":2370},"output":2370,"source":"reported","entries":0,"cache_read":673536,"cache_write":0,"observed_models":[]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":null,"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-3: 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-3"],"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":"Is there an argument that self-match prefixes cannot be found faster than 16^k on average? A sound negative answer closes a route."},"schema":"work-disposition-v3","sources":{"topic_ids":["self-match.methods","self-match.study-3"],"review_ids":[705,769,715,777],"message_ids":[],"predecessor_returns":[2633,2657]},"trusted":true,"decision":"covered","effective":true,"input_sha256":"d4a281f8635b9ea3cddd4f2aa967d32ebee98709778ffd495cae45ea2205457f","rationale_md":"First material baseline: classical ideal-map and coherent-access distinctions remain covered; newer sampler/neighborhood finite evidence supplies no actual-MD5 hardness theorem or defect in those model answers. Administrative coverage only.","scope_sha256":"0349a1dfb02211911ccdcf4e456d18de0761ba93312dab033c75485eb7f16b11","allow_covered":true,"input_version":"material-evidence-v1","reopen_when_md":"Concrete defect in model answer, actual-MD5 construction/theorem changing its applicability, new explicit resource-model obligation or assigned independent replication.","material_evidence":{"sha256":"d4a281f8635b9ea3cddd4f2aa967d32ebee98709778ffd495cae45ea2205457f","entries":{"return:2633":"72da7a683bab7b630afd492449619b1b0d3435f54cb26abb08ea4b51c33bbdb9","return:2657":"681963097b3d5350a0abc39a4e2451240a5aa3f5513edbcd667ee5fd685391b5","finding:66757":"37cc74dd54f8d882fcefb4d8491807ca10f2347c711d12062e17c131eb7656ab","review:2633:1:claude-opus-5-5":"2122f6f5daaed724bdc21223dd418b4a8d8e3f35a40ecd82be71b35b64d0e3bb","review:2657:1:claude-opus-5-5":"e74f568f3da2f46a742093e060c15dc94752f21b3db69508e152f32d4c196ab4","review:2633:73:claude-opus-5-5":"932692c7d2cca4a49b715da620c1531ee772e2bb48cf00f0b6f531ba05400255","review:2657:73:claude-opus-5-5":"8ba72de13bb0b611fe7b75f3fe9c292111b8b31a03cdef7150442605833aaafc","artifact:2633:27260d8659a4cb7ca8aeb77c0649edf051035383209fdb7bea11e1abf39ce6b1":"27260d8659a4cb7ca8aeb77c0649edf051035383209fdb7bea11e1abf39ce6b1","artifact:2633:75123ad5fe679f4c89ed731204403c62151e18a706b99645a7c3ce1b65ac5f93":"75123ad5fe679f4c89ed731204403c62151e18a706b99645a7c3ce1b65ac5f93","artifact:2633:b0a52142e702b415c765ad962c57be35178d94aa4e80ed440903e08b3d9e3acf":"b0a52142e702b415c765ad962c57be35178d94aa4e80ed440903e08b3d9e3acf","artifact:2633:bb1527ec763fb176e506520be7f635ba6307baa4e2b85de9bf12884ca3cff123":"bb1527ec763fb176e506520be7f635ba6307baa4e2b85de9bf12884ca3cff123","artifact:2633:cb4f7e4356de4b6ea1738ebaed4a56e01724b6435ee54cd28dda29145043b6bf":"cb4f7e4356de4b6ea1738ebaed4a56e01724b6435ee54cd28dda29145043b6bf","artifact:2633:e3469e9a917a4ab488dd36592812fcf7c525e63b777ee876bf2d31fa094d0005":"e3469e9a917a4ab488dd36592812fcf7c525e63b777ee876bf2d31fa094d0005","artifact:2633:e5be50d4b94b83e2919908a29b3f2e8f9a18f7e7fb6e11524127908b9261aaff":"e5be50d4b94b83e2919908a29b3f2e8f9a18f7e7fb6e11524127908b9261aaff","artifact:2657:2457216883dbe4b6097d1f601a57b56cc5a48cc995118b3d33060bb3383a6183":"2457216883dbe4b6097d1f601a57b56cc5a48cc995118b3d33060bb3383a6183","artifact:2657:6b8935f79a85386112d2de5596e3a0cf2972780b4003c1bed9c5c3a2175c9cda":"6b8935f79a85386112d2de5596e3a0cf2972780b4003c1bed9c5c3a2175c9cda","artifact:2657:e053f803665d1ff869c06a45c631e23ec18c1a826ae8990cd778447c9cebef55":"e053f803665d1ff869c06a45c631e23ec18c1a826ae8990cd778447c9cebef55","artifact:2657:e3432fa6c92c547ed3a3604659d57c27bc499672098b15fe858df502025bdf33":"e3432fa6c92c547ed3a3604659d57c27bc499672098b15fe858df502025bdf33"},"version":"material-evidence-v1","complete":true},"work_check_job_id":6274,"base_decision_return_id":2949},"handle":"danieljmt","job_brief":"Material evidence delta from the prior decision: Legacy or first comparison: establish one material baseline; historical raw fingerprints cannot establish which evidence changed.. Read only these changes and the prior rationale first. If unchanged, a short reaffirmation suffices; do not re-prove identities or regenerate coverage artifacts.\n\nCompare 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 #2949, message #none, review #none. Use existing packages and the cheapest source check; do not repeat large experiments.\n\nQuestion: Is there an argument that self-match prefixes cannot be found faster than 16^k on average? A sound negative answer closes a route.\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-3: 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: 2633, 2657; reviews: 705, 769, 715, 777; messages: none nominated.\n\nCovered means only this unchanged obligation need not be dispatched again.\nReturn work_disposition:{decision:\"covered|open\",scope_sha256:\"0349a1dfb02211911ccdcf4e456d18de0761ba93312dab033c75485eb7f16b11\",input_sha256:\"d4a281f8635b9ea3cddd4f2aa967d32ebee98709778ffd495cae45ea2205457f\",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":[{"id":2990,"handle":"Benjaminsen","status":"recorded"}],"route_dependents":[],"research_url":null,"transcript_url":"/projects/md5/return/2989/transcript","files":[],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"847db04433989b7a0ef1d62de3c2ba05d37bd551fc2e930bffab9193e76eadc8","research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}