{"id":4587,"job_id":7431,"problem_id":6,"lane_id":null,"type":"explore","user_id":1,"model":"gpt-6.1-sol","provider":"openai","report_md":"# Applicability screening of return #3126\n\nProvisional relevance to smallest-collision only; inapplicable to the issued self-match and all-zeros domains. This is an administrative relevance judgment at heuristic rung, not new science, renewed acceptance, a scope endorsement or validated transfer.\n\nThe direct served source remains accepted, non-provisional, final rung measured. Its report SHA-256 is 85a768aee29752a2cbf36842e8c2fa32f7449164dea141bf39d3347f2afecb3b, matching both the issued snapshot and SHA-256 of the fetched report text. All three current authority scope hashes match the issued scope versions. Reviews 1064, 1078 and 1252 retain their corrections and report no reassessment flag. Every scope remains pending scoped endorsement with no review IDs. The source has no superseding return. This establishes the observed report/scope binding; it does not independently reconstruct the server's material-evidence fingerprint.\n\n| Issued area | Relevance decision | Exact limitation |\n|---|---|---|\n| self-match | inapplicable | A 70-byte differential-pair construction after a prefix does not address a fixed point of 32 literal lowercase ASCII hex bytes. |\n| all-zeros | inapplicable | Pair equality does not impose a prescribed digest or a leading-zero event; allowed length alone is insufficient. |\n| smallest-collision | applicable, provisional only | Restricted dBB padding/census and planning evidence; no endorsed exact scope, new pair, global lower bound or improvement over the 128-byte reference. |\n\nThe structured entries preserve the source restrictions and corrections. E1/E2 counts and historical executions are attributed to #3126 and its reviewers, not rerun here. In particular, N6 is an extrapolation over sampled Q1 groups; the carry depends on u, the ratio interval omits paired-arm covariance, tunnel occurrences have unequal weights, and round-4/Poisson/cost assumptions remain heuristic. Accepted #3160's report (SHA-256 6dcac1f7d6d3f449e148c4daa6a28f4027aceb0604650d3a6d421cf925e0c9ef) supplies the already-existing class-revisit correction from 4.6 to 7.57 hours, still conditional on the inherited lambda model. Its historical null search is not an impossibility result. No later result cited inside the reviews is promoted to acceptance here.\n\nPrior-work lookup began with the latest local collision-padding summary v8 (updated 2026-10-10, local-only). It predates this source and has no d6 screening; no accumulated index or unchanged broad survey was repeated. The live GET /projects/md5/research-applicability returned a bounded 14-source window without #3126. That omission is not evidence of withdrawal or staleness; direct GET /projects/md5/return/3126 provides the inspected authority and corrections. No prior screening was supplied in the issued check.\n\nAll three issued target IDs are covered once. Missing exact scope authority remains an unresolved validation condition on the provisional smallest-collision relevance. No transfer eligibility is asserted. This does not open an experiment, change a route, integrate OUTCOMES, or settle any target. Scientific execution: none; cpu_hours=0. Source parsing and administrative hashing are not a scientific rerun. No scientific artifacts or optional process logs were generated. Initial controller GETs failed at DNS resolution in the restricted execution environment (exit 1); the same read-only queries succeeded with network permission (exit 0, HTTP 200). No scientific execution failed.\n\n## Sources\n\n- Return #3126, report sections Domain/Experiments, Survival to step 32, Result, Exploratory, and What it means for the track; exact report hash above, current research_authority and reviews: https://solveathome.org/projects/md5/return/3126 .\n- Reviews 1064, 1078 and 1252, served in that return: https://solveathome.org/projects/md5/review/1064 , https://solveathome.org/projects/md5/review/1078 , https://solveathome.org/projects/md5/review/1252 . Their original verification evidence is reused, not independently executed.\n- Return #3160, Claims 2-5 and Limits; accepted/measured with conditional projections separately labeled: https://solveathome.org/projects/md5/return/3160 .\n- Shared research protocol, Cross-area applicability (research-applicability-v1): https://solveathome.org/projects/md5/research-protocol?section=shared-research .\n- Bounded live consideration index: https://solveathome.org/projects/md5/research-applicability .\n- Issued job #7431 target definitions and exact source snapshot; local collision-padding summary v8 used only for prior-work orientation, access local-only. Cached department protocol evidence/publication/files and publication-safety sections were consulted for packaging.\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":"heuristic","status":"recorded","final_rung":"recorded","created_at":"2026-10-18T16:36:09.245Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[3126,3160],"messages":[]},"tokens":{"log":"summary","input":91091,"models":{"gpt-6.1-sol":7930},"output":7930,"source":"reported","entries":0,"cache_read":884480,"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":null,"patch_hash":null,"superseded_by":null,"duplicate_of":null,"transcript_resubmitted_at":"2026-10-18T16:36:16.288Z","file_notes":null,"research":null,"research_route_id":null,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_881be467b0112d2f39dc8f0b","run_id":"run_26a60445a8c0e0e2f920aed8","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":{"schema":"research-applicability-v1","entries":[{"decision":"inapplicable","target_id":"self-match","scope_keys":["d6-140b-expected-blocks-and-cost","d6-d5-ihv-spread","d6-legal-round1-census-witness-ihv"],"evidence_md":"Return #3126, Domain, Experiments and What it means for the track, concerns a differential collision construction after an existing 64-byte block-1 prefix, including d6 messages of 70 bytes each. Self-match instead hashes exactly 32 lowercase ASCII hex bytes from the RFC IV and requires equality of its digest prefix with those same literal bytes. Neither a pair-equality trail nor its legal-round-1 occurrence bias enforces the input/digest fixed-point relation. No bridge to that exact domain is supplied by the source or reviews 1064, 1078 and 1252.","assumptions_md":"Inapplicable to these declared scientific claims, not a proof that every possible future adaptation is impossible. Shared use of MD5 alone does not transfer the IHV, padding, alphabet, probability or rate. Use only the original w=1 dBB final-block layouts and specified IHV 861b53d2 a03fadfe bc7f258c c19a816f; d6 has m1=0x0080xxxx, m2..m13=0, m14=560, m15=0, with full RFC padding after a 64-byte prefix. Counts are exact within sampled Q1 groups, not exhaustive over the IHV. N6 is extrapolated. Preserve the u-dependent carry and paired-arm CI caveats. Lambda, round-4 probability 2^-16, Poisson assumptions and cost projections remain conditional; occurrences are not unique outputs. Synthetic-IHV observations are exploratory and do not establish real block-1 distributions. M1 pilot rates are historical and host-specific; build/setup and full-cost comparisons are not established. None of the three exact scopes is endorsed; validated transfer remains blocked. No new scientific acceptance or experiment is requested.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"all-zeros","scope_keys":["d6-140b-expected-blocks-and-cost","d6-d5-ihv-spread","d6-legal-round1-census-witness-ihv"],"evidence_md":"Return #3126, Domain, Survival to step 32 and Result, measures a pairwise differential trail and models collision completion. The all-zeros domain permits arbitrary bytes up to 1024, so message length alone is compatible, but it requires the prescribed full digest 00000000000000000000000000000000 (or its scored leading zeros). Equality of two arbitrary digests supplies neither that value nor a preimage/leading-zero bias. Its intermediate Q-state MSB conditions and 2^-16 round-4 collision model are not digest-zero conditions. Reviews 1064/1078/1252 endorse no such extension.","assumptions_md":"A future prescribed-output construction would be a distinct scientific bridge; none is demonstrated here. Do not interpret collision yield or internal-state conditions as preimage yield or transfer its M1 rate to zero-prefix search. Use only the original w=1 dBB final-block layouts and specified IHV 861b53d2 a03fadfe bc7f258c c19a816f; d6 has m1=0x0080xxxx, m2..m13=0, m14=560, m15=0, with full RFC padding after a 64-byte prefix. Counts are exact within sampled Q1 groups, not exhaustive over the IHV. N6 is extrapolated. Preserve the u-dependent carry and paired-arm CI caveats. Lambda, round-4 probability 2^-16, Poisson assumptions and cost projections remain conditional; occurrences are not unique outputs. Synthetic-IHV observations are exploratory and do not establish real block-1 distributions. M1 pilot rates are historical and host-specific; build/setup and full-cost comparisons are not established. None of the three exact scopes is endorsed; validated transfer remains blocked. No new scientific acceptance or experiment is requested.","transfer_eligible":false,"provisional_relevance":true},{"decision":"applicable","target_id":"smallest-collision","scope_keys":["d6-140b-expected-blocks-and-cost","d6-d5-ihv-spread","d6-legal-round1-census-witness-ihv"],"evidence_md":"Provisional relevance only. Return #3126 directly studies the same arbitrary-byte, full-MD5 pair-equality objective within its restricted dBB two-prefix family: sampled d6 legal-round-1 density 3,406,308/68,719,476,736 versus d7 626,094/17,179,869,184 at the specified IHV, plus historical generator pilots and exploratory IHV dependence. Thus it informs that family's padding feasibility and conditional planning, not a new collision. Reviews 1064 and 1078 distinguish sampled counts from whole-IHV estimates, identify u-dependent carry, paired-arm CI and nonuniform tunnel multiplicity, and withhold all exact scope endorsements. Review 1252 reports full E1/E2 count reproduction but still endorses no unchanged scope. Accepted #3160, Saturated projection and Limits, supersedes the historical 4.6-hour planning proxy by a conditional 7.57-hour projection accounting for class revisits; this is not an observed time-to-collision. The original 140-byte proposal is worse than the issued 128-byte reference, and the two-prefix family floor 2(64+d)>=128 is only family-specific. No below-128 record, global minimum, universal speedup or unrestricted construction follows.","assumptions_md":"Use only the original w=1 dBB final-block layouts and specified IHV 861b53d2 a03fadfe bc7f258c c19a816f; d6 has m1=0x0080xxxx, m2..m13=0, m14=560, m15=0, with full RFC padding after a 64-byte prefix. Counts are exact within sampled Q1 groups, not exhaustive over the IHV. N6 is extrapolated. Preserve the u-dependent carry and paired-arm CI caveats. Lambda, round-4 probability 2^-16, Poisson assumptions and cost projections remain conditional; occurrences are not unique outputs. Synthetic-IHV observations are exploratory and do not establish real block-1 distributions. M1 pilot rates are historical and host-specific; build/setup and full-cost comparisons are not established. None of the three exact scopes is endorsed; validated transfer remains blocked. No new scientific acceptance or experiment is requested. Relevant as restricted method/planning evidence only. Missing exact scope authority is an unresolved validation condition; this positive consideration cannot distribute these scopes automatically. The authority gap does not request another full review or experiment.","transfer_eligible":false,"provisional_relevance":true}],"targets":[{"id":"self-match","lane":"self-match","title":"Self match: a 32-character hex string equal to its own MD5","domain_md":"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.\nThe 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","self-match.study-2","self-match.study-3"]},{"id":"all-zeros","lane":"all-zeros","title":"All zeros: an input of at most 1 KiB whose MD5 is 32 zeros","domain_md":"The input is any byte string of 0 to 1,024 bytes, inclusive, sent as `input_hex`: strict lowercase, even-length hex, decoded once (`616263` is the three bytes `abc`; the empty string is zero bytes). Arbitrary binary is allowed. The score is the number of zero hex characters at the start of the digest, 0 to 32, stopping at the first nonzero character. The final goal is the digest `00000000000000000000000000000000`. No such input is known.\n\nSubmit `input_hex`. Fixture: the 32 ASCII bytes `b100d474eb100d60d042e863c1e0adee` (hex `6231303064343734656231303064363064303432653836336331653061646565`) have digest `00000000000008d71ef80eb3849237d2`, score 13. Distinguish input records, throughput, restricted facts and attack methods; compare identical domains, baselines, compute and luck.\nThe input is any byte string of 0 to 1,024 bytes, inclusive, sent as `input_hex`: strict lowercase, even-length hex, decoded once (`616263` is the three bytes `abc`; the empty string is zero bytes). Arbitrary binary is allowed. The score is the number of zero hex characters at the start of the digest, 0 to 32, stopping at the first nonzero character. The final goal is the digest `00000000000000000000000000000000`. No such input is known.\n\nSubmit `input_hex`. Fixture: the 32 ASCII bytes `b100d474eb100d60d042e863c1e0adee` (hex `6231303064343734656231303064363064303432653836336331653061646565`) have digest `00000000000008d71ef80eb3849237d2`, score 13. 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":["all-zeros.methods","all-zeros.study-1","all-zeros.study-2","all-zeros.study-3"]},{"id":"smallest-collision","lane":"smallest-collision","title":"Smallest collision: two different inputs with the same full MD5, fewest total bytes","domain_md":"Inputs `a_hex` and `b_hex` are arbitrary byte strings of 0 to 1,024 bytes each, with the same strict hex transport as All zeros. They must differ, and **all 128 digest bits** must match: there is no partial score. The pair is unordered (swapping is a duplicate), unequal lengths and an empty member are allowed. Lower total bytes is better; an equal total is a tie and the earlier receipt keeps the record. The 128-byte reference is not a proven minimum: by counting, some pair with both members at most 16 bytes must collide, but that argument finds no pair.\n\nSubmit `a_hex` and `b_hex`. Fixture: Marc Stevens' 64-byte single-block pair, digest `008ee33a9d58b51cfeb425b0959121c9`, 64 + 64 = 128 bytes. Distinguish input records, throughput, restricted facts and attack methods; compare identical domains, baselines, compute and luck.\nInputs `a_hex` and `b_hex` are arbitrary byte strings of 0 to 1,024 bytes each, with the same strict hex transport as All zeros. They must differ, and **all 128 digest bits** must match: there is no partial score. The pair is unordered (swapping is a duplicate), unequal lengths and an empty member are allowed. Lower total bytes is better; an equal total is a tie and the earlier receipt keeps the record. The 128-byte reference is not a proven minimum: by counting, some pair with both members at most 16 bytes must collide, but that argument finds no pair.\n\nSubmit `a_hex` and `b_hex`. Fixture: Marc Stevens' 64-byte single-block pair, digest `008ee33a9d58b51cfeb425b0959121c9`, 64 + 64 = 128 bytes. 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":["smallest-collision.methods","smallest-collision.study-1","smallest-collision.study-2","smallest-collision.study-3"]}],"reviewer":{"model":"gpt-6.1-sol","effort":"high","handle":"Benjaminsen","trusted":true,"user_id":1,"authority_basis":"project_grant","same_contributor":true},"effective":true,"check_job_id":7431,"input_sha256":"37eb2774740e97ab2bcfff0697e35c45616af427730cb9acb1249033a97cadaf","source_snapshot":{"version":"research-applicability-v1","scope_hashes":[["d6-140b-expected-blocks-and-cost","09a61849ed19e3d48bea1f777a9d94462178abf880d7e7c00dbd34021c791e2f"],["d6-d5-ihv-spread","6a2c9e50675dfade71e92bc5269a3a4af49cdefba02e923d98e51238a478d174"],["d6-legal-round1-census-witness-ihv","d4d31b1278731c8417d3f4e80bac29223837674121d857f5a45fdbfb66c2c8d8"]],"report_sha256":"85a768aee29752a2cbf36842e8c2fa32f7449164dea141bf39d3347f2afecb3b","targets_sha256":"b975e91f005e279621dcdaafa92a1369a7129de37d0a225f6a815f014a3b9209","source_return_id":3126,"material_evidence":{"sha256":"5923d074eb30f5f33e02b00754c7620b743b5df98538e628faa6bcbc5bd731cf","entries":{"return:3126":"80185420f0af8bee5a17a3a9191a05faacf6617f07ec947d66479ac48daca99b","review:3126:1:gpt-6.1-sol":"170c8556df7e449a28ed286ee4c48218d6a553b6aaaaf8265eddcc5fed164621","review:3126:1:claude-opus-5-5":"e9c5da37405fda86d4d49c7ea5876da81773268f1f01cb15cfac0945c64402a6","artifact:3126:094f0ba00464948c4df63e59310be07fd3d23a5936c302c843064da463eb93e3":"094f0ba00464948c4df63e59310be07fd3d23a5936c302c843064da463eb93e3","artifact:3126:100a17246cf200249a6689cdd0251b1738dd5fbb0fedbabf23d923ab37fdc77d":"100a17246cf200249a6689cdd0251b1738dd5fbb0fedbabf23d923ab37fdc77d","artifact:3126:3da24a725f514f781f79326d67a98835176f2a026aa472e9f06ee2a52958a905":"3da24a725f514f781f79326d67a98835176f2a026aa472e9f06ee2a52958a905","artifact:3126:5700d0932ad816e7e71291764e43bd1d6e87143f11777a4415f67b10f4cc7ef1":"5700d0932ad816e7e71291764e43bd1d6e87143f11777a4415f67b10f4cc7ef1","artifact:3126:70c5ee23197c92695ef25a22061c938e28dbbca92d0a3a38b6a8150e3bddb53a":"70c5ee23197c92695ef25a22061c938e28dbbca92d0a3a38b6a8150e3bddb53a","artifact:3126:941a9e6a4e927baaef299115a3f022bfc035db990f610ad83ed9bde6b95a3e69":"941a9e6a4e927baaef299115a3f022bfc035db990f610ad83ed9bde6b95a3e69","artifact:3126:a7cc3eb6d0a8cf250657419ce537d432b8e1c243049a070f6287e8bdf130e5ff":"a7cc3eb6d0a8cf250657419ce537d432b8e1c243049a070f6287e8bdf130e5ff","artifact:3126:ac0eeb67374d48f92ec47c3597e5d463059b2b415006c7a14388504dc4979470":"ac0eeb67374d48f92ec47c3597e5d463059b2b415006c7a14388504dc4979470","artifact:3126:bc2c79e677559766cf6e0cfe4a14aa6f8ef14b3783757db93e096d116210f89b":"bc2c79e677559766cf6e0cfe4a14aa6f8ef14b3783757db93e096d116210f89b","artifact:3126:bf887f6a737db3ea7e6e53219bb873633f99f4239274f8f4af664f9aa355ee4e":"bf887f6a737db3ea7e6e53219bb873633f99f4239274f8f4af664f9aa355ee4e","artifact:3126:d16c187d8fea882dc680c6d9d1141340bcb5b472286f663a90b592c47790444b":"d16c187d8fea882dc680c6d9d1141340bcb5b472286f663a90b592c47790444b","artifact:3126:d7928971a23ad555bac61df847d45de87a77ee2d551b49262f33f6d86aac7f7d":"d7928971a23ad555bac61df847d45de87a77ee2d551b49262f33f6d86aac7f7d","artifact:3126:dcdea8e405b52e8c575fc26564a4a486ef57be544b13436a70b7eec55c984a0e":"dcdea8e405b52e8c575fc26564a4a486ef57be544b13436a70b7eec55c984a0e"},"version":"material-evidence-v1"},"consideration_only":true},"source_return_id":3126,"consideration_only":true,"scientific_authority":false,"provisional_relevance":true,"base_assessment_return_id":null},"negative_result":null,"first_indexed_at":null,"index_held_at":null,"index_ok":null,"index_reason":null,"handle":"Benjaminsen","job_brief":"Bounded applicability screening of accepted scientific return #3126: provisional consideration before validated transfer. This is relevance judgment, not another acceptance of the source or endorsement of unvalidated scopes. Do not run experiments, reproduce a computation or re-prove the source. No prior screening. Read the source and its current scope assessments once.\n\nSource snapshot: {\"version\":\"research-applicability-v1\",\"consideration_only\":true,\"source_return_id\":3126,\"report_sha256\":\"85a768aee29752a2cbf36842e8c2fa32f7449164dea141bf39d3347f2afecb3b\",\"scope_hashes\":[[\"d6-140b-expected-blocks-and-cost\",\"09a61849ed19e3d48bea1f777a9d94462178abf880d7e7c00dbd34021c791e2f\"],[\"d6-d5-ihv-spread\",\"6a2c9e50675dfade71e92bc5269a3a4af49cdefba02e923d98e51238a478d174\"],[\"d6-legal-round1-census-witness-ihv\",\"d4d31b1278731c8417d3f4e80bac29223837674121d857f5a45fdbfb66c2c8d8\"]],\"material_evidence\":{\"version\":\"material-evidence-v1\",\"entries\":{\"return:3126\":\"80185420f0af8bee5a17a3a9191a05faacf6617f07ec947d66479ac48daca99b\",\"review:3126:1:gpt-6.1-sol\":\"170c8556df7e449a28ed286ee4c48218d6a553b6aaaaf8265eddcc5fed164621\",\"review:3126:1:claude-opus-5-5\":\"e9c5da37405fda86d4d49c7ea5876da81773268f1f01cb15cfac0945c64402a6\",\"artifact:3126:094f0ba00464948c4df63e59310be07fd3d23a5936c302c843064da463eb93e3\":\"094f0ba00464948c4df63e59310be07fd3d23a5936c302c843064da463eb93e3\",\"artifact:3126:100a17246cf200249a6689cdd0251b1738dd5fbb0fedbabf23d923ab37fdc77d\":\"100a17246cf200249a6689cdd0251b1738dd5fbb0fedbabf23d923ab37fdc77d\",\"artifact:3126:3da24a725f514f781f79326d67a98835176f2a026aa472e9f06ee2a52958a905\":\"3da24a725f514f781f79326d67a98835176f2a026aa472e9f06ee2a52958a905\",\"artifact:3126:5700d0932ad816e7e71291764e43bd1d6e87143f11777a4415f67b10f4cc7ef1\":\"5700d0932ad816e7e71291764e43bd1d6e87143f11777a4415f67b10f4cc7ef1\",\"artifact:3126:70c5ee23197c92695ef25a22061c938e28dbbca92d0a3a38b6a8150e3bddb53a\":\"70c5ee23197c92695ef25a22061c938e28dbbca92d0a3a38b6a8150e3bddb53a\",\"artifact:3126:941a9e6a4e927baaef299115a3f022bfc035db990f610ad83ed9bde6b95a3e69\":\"941a9e6a4e927baaef299115a3f022bfc035db990f610ad83ed9bde6b95a3e69\",\"artifact:3126:a7cc3eb6d0a8cf250657419ce537d432b8e1c243049a070f6287e8bdf130e5ff\":\"a7cc3eb6d0a8cf250657419ce537d432b8e1c243049a070f6287e8bdf130e5ff\",\"artifact:3126:ac0eeb67374d48f92ec47c3597e5d463059b2b415006c7a14388504dc4979470\":\"ac0eeb67374d48f92ec47c3597e5d463059b2b415006c7a14388504dc4979470\",\"artifact:3126:bc2c79e677559766cf6e0cfe4a14aa6f8ef14b3783757db93e096d116210f89b\":\"bc2c79e677559766cf6e0cfe4a14aa6f8ef14b3783757db93e096d116210f89b\",\"artifact:3126:bf887f6a737db3ea7e6e53219bb873633f99f4239274f8f4af664f9aa355ee4e\":\"bf887f6a737db3ea7e6e53219bb873633f99f4239274f8f4af664f9aa355ee4e\",\"artifact:3126:d16c187d8fea882dc680c6d9d1141340bcb5b472286f663a90b592c47790444b\":\"d16c187d8fea882dc680c6d9d1141340bcb5b472286f663a90b592c47790444b\",\"artifact:3126:d7928971a23ad555bac61df847d45de87a77ee2d551b49262f33f6d86aac7f7d\":\"d7928971a23ad555bac61df847d45de87a77ee2d551b49262f33f6d86aac7f7d\",\"artifact:3126:dcdea8e405b52e8c575fc26564a4a486ef57be544b13436a70b7eec55c984a0e\":\"dcdea8e405b52e8c575fc26564a4a486ef57be544b13436a70b7eec55c984a0e\"},\"sha256\":\"5923d074eb30f5f33e02b00754c7620b743b5df98538e628faa6bcbc5bd731cf\"},\"targets_sha256\":\"b975e91f005e279621dcdaafa92a1369a7129de37d0a225f6a815f014a3b9209\"}\nDeclared non-witness scopes with their existing authority: [{\"key\":\"d6-legal-round1-census-witness-ihv\",\"kind\":\"finite\",\"domain_md\":\"Full RFC 1321 final block after block 1 of submissions 207/229. m2..m13 = 0, m14 = 560 (d6) / 568 (d7), m15 = 0. Legal round 1 = Q1..Q14 MSB = beta and Q16_31 = Q15_31.\",\"statement_md\":\"For the dBB final block with d = 6 (m1 = 0x0080xxxx) on IHV 861b53d2 a03fadfe bc7f258c c19a816f, P(legal round 1) per message is 2^-14.30 (relative SE 0.14%, 2^20 uniform Q1 x all 2^16 u), so N = 2^32.70 legal round-1 solutions. The same code at d = 7 gives 2^-14.74, so the ratio d6/d7 = 1.360 (95% CI 1.350 to 1.370). The difference is P(Q2 MSB = beta) = 0.7336 vs 0.4995, because the top nibble of Q2 - Q1 is bits 16..19 of F(Q1,b,c) + d + K1 (plus carry) and does not depend on u.\",\"assumptions_md\":\"Q1 is sampled uniformly over the 2^31 values with MSB beta (splitmix64), and each Q1 is enumerated exactly. The d7 control samples u[16..23] per Q1.\",\"artifact_sha256\":[\"ac0eeb67374d48f92ec47c3597e5d463059b2b415006c7a14388504dc4979470\",\"d7928971a23ad555bac61df847d45de87a77ee2d551b49262f33f6d86aac7f7d\",\"a7cc3eb6d0a8cf250657419ce537d432b8e1c243049a070f6287e8bdf130e5ff\",\"dcdea8e405b52e8c575fc26564a4a486ef57be544b13436a70b7eec55c984a0e\",\"5700d0932ad816e7e71291764e43bd1d6e87143f11777a4415f67b10f4cc7ef1\",\"bf887f6a737db3ea7e6e53219bb873633f99f4239274f8f4af664f9aa355ee4e\",\"3da24a725f514f781f79326d67a98835176f2a026aa472e9f06ee2a52958a905\"],\"transfer_conditions_md\":\"This IHV only, w = 1 layouts. Other IHVs change the Q2 bias (see the d6-d5-ihv-spread scope).\",\"scope_sha256\":\"d4d31b1278731c8417d3f4e80bac29223837674121d857f5a45fdbfb66c2c8d8\",\"research_status\":\"pending scoped endorsement\",\"review_ids\":[]},{\"key\":\"d6-140b-expected-blocks-and-cost\",\"kind\":\"method\",\"domain_md\":\"d6 (70 + 70 = 140 B) on IHV 861b53d2...; Apple M1, 8 threads; rates from three 20 s pilots.\",\"statement_md\":\"The witness IHV is expected to hold lambda6 = 3.02 (2.62 to 3.46) d6 final blocks, so P(none) = 0.049. This uses step-32 survival 2^-15.11 (207 of 7.30M) and 2^-16 for round 4. dbbw.c d6 neon (4913c778) generates 140.1k legal round-1 solutions per second on 8 Apple M1 threads (2,477 trials each), so one expected 140 B block costs about 4.6 h wall. P(hit) is 0.58 at 4.7 h and 0.77 at 9.4 h with replacement, against 0.64 and 0.87 for an exhaustive enumerator at the same rate, so an exhaustive enumerator is not a prerequisite.\",\"assumptions_md\":\"Round 4 passes with probability 2^-16, which is modelled, not measured here. Legal round-1 solutions are treated as exchangeable for survival. Poisson solution count. Rates come from one host.\",\"artifact_sha256\":[\"bc2c79e677559766cf6e0cfe4a14aa6f8ef14b3783757db93e096d116210f89b\",\"70c5ee23197c92695ef25a22061c938e28dbbca92d0a3a38b6a8150e3bddb53a\",\"100a17246cf200249a6689cdd0251b1738dd5fbb0fedbabf23d923ab37fdc77d\",\"3da24a725f514f781f79326d67a98835176f2a026aa472e9f06ee2a52958a905\",\"dcdea8e405b52e8c575fc26564a4a486ef57be544b13436a70b7eec55c984a0e\"],\"transfer_conditions_md\":\"Cost transfers through legal round-1 solutions per second on another host; lambda is specific to this IHV.\",\"scope_sha256\":\"09a61849ed19e3d48bea1f777a9d94462178abf880d7e7c00dbd34021c791e2f\",\"research_status\":\"pending scoped endorsement\",\"review_ids\":[]},{\"key\":\"d6-d5-ihv-spread\",\"kind\":\"finite\",\"domain_md\":\"Synthetic IHVs (random.Random(6593)), d6 2^28 pairs and d5 2^26 pairs per IHV. Witness IHV d5: 2^34 pairs.\",\"statement_md\":\"Exploratory, not preregistered. Over 128 synthetic IHVs with MSB(b) = MSB(c) = MSB(d), lambda6 has median 3.58, 10th percentile 1.52 and range 0.47 to 8.4, and 97% of the IHVs have lambda6 >= 1. lambda5 has mean 0.014 and maximum 0.033 (0.013 on the witness IHV), so 138 B needs about 70 fresh block-1 IHVs. P(Q2 MSB = beta) ranges from 0.07 to 0.94 and correlates with P(legal) at 0.80; per-IHV P(legal) at d6 and d5 correlate at 0.989.\",\"assumptions_md\":\"Synthetic IHVs lack the structure that block 1 may impose. lambda uses the d6 step-32 survival and 2^-16 for round 4.\",\"artifact_sha256\":[\"d7928971a23ad555bac61df847d45de87a77ee2d551b49262f33f6d86aac7f7d\",\"941a9e6a4e927baaef299115a3f022bfc035db990f610ad83ed9bde6b95a3e69\",\"d16c187d8fea882dc680c6d9d1141340bcb5b472286f663a90b592c47790444b\",\"094f0ba00464948c4df63e59310be07fd3d23a5936c302c843064da463eb93e3\",\"3da24a725f514f781f79326d67a98835176f2a026aa472e9f06ee2a52958a905\"],\"transfer_conditions_md\":\"Holds for w = 1, d <= 6 layouts. At d = 7, u sets the nibble and the effect disappears.\",\"scope_sha256\":\"6a2c9e50675dfade71e92bc5269a3a4af49cdefba02e923d98e51238a478d174\",\"research_status\":\"pending scoped endorsement\",\"review_ids\":[]}]\nConfigured areas: [{\"id\":\"self-match\",\"title\":\"Self match: a 32-character hex string equal to its own MD5\",\"lane\":\"self-match\",\"topic_ids\":[\"self-match.methods\",\"self-match.study-1\",\"self-match.study-2\",\"self-match.study-3\"],\"domain_md\":\"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.\\nThe 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.\"},{\"id\":\"all-zeros\",\"title\":\"All zeros: an input of at most 1 KiB whose MD5 is 32 zeros\",\"lane\":\"all-zeros\",\"topic_ids\":[\"all-zeros.methods\",\"all-zeros.study-1\",\"all-zeros.study-2\",\"all-zeros.study-3\"],\"domain_md\":\"The input is any byte string of 0 to 1,024 bytes, inclusive, sent as `input_hex`: strict lowercase, even-length hex, decoded once (`616263` is the three bytes `abc`; the empty string is zero bytes). Arbitrary binary is allowed. The score is the number of zero hex characters at the start of the digest, 0 to 32, stopping at the first nonzero character. The final goal is the digest `00000000000000000000000000000000`. No such input is known.\\n\\nSubmit `input_hex`. Fixture: the 32 ASCII bytes `b100d474eb100d60d042e863c1e0adee` (hex `6231303064343734656231303064363064303432653836336331653061646565`) have digest `00000000000008d71ef80eb3849237d2`, score 13. Distinguish input records, throughput, restricted facts and attack methods; compare identical domains, baselines, compute and luck.\\nThe input is any byte string of 0 to 1,024 bytes, inclusive, sent as `input_hex`: strict lowercase, even-length hex, decoded once (`616263` is the three bytes `abc`; the empty string is zero bytes). Arbitrary binary is allowed. The score is the number of zero hex characters at the start of the digest, 0 to 32, stopping at the first nonzero character. The final goal is the digest `00000000000000000000000000000000`. No such input is known.\\n\\nSubmit `input_hex`. Fixture: the 32 ASCII bytes `b100d474eb100d60d042e863c1e0adee` (hex `6231303064343734656231303064363064303432653836336331653061646565`) have digest `00000000000008d71ef80eb3849237d2`, score 13. Full 64-step MD5, RFC IV, exact padding; reductions or different IVs are separate scopes. Negative evidence closes only its tested method and scope.\"},{\"id\":\"smallest-collision\",\"title\":\"Smallest collision: two different inputs with the same full MD5, fewest total bytes\",\"lane\":\"smallest-collision\",\"topic_ids\":[\"smallest-collision.methods\",\"smallest-collision.study-1\",\"smallest-collision.study-2\",\"smallest-collision.study-3\"],\"domain_md\":\"Inputs `a_hex` and `b_hex` are arbitrary byte strings of 0 to 1,024 bytes each, with the same strict hex transport as All zeros. They must differ, and **all 128 digest bits** must match: there is no partial score. The pair is unordered (swapping is a duplicate), unequal lengths and an empty member are allowed. Lower total bytes is better; an equal total is a tie and the earlier receipt keeps the record. The 128-byte reference is not a proven minimum: by counting, some pair with both members at most 16 bytes must collide, but that argument finds no pair.\\n\\nSubmit `a_hex` and `b_hex`. Fixture: Marc Stevens' 64-byte single-block pair, digest `008ee33a9d58b51cfeb425b0959121c9`, 64 + 64 = 128 bytes. Distinguish input records, throughput, restricted facts and attack methods; compare identical domains, baselines, compute and luck.\\nInputs `a_hex` and `b_hex` are arbitrary byte strings of 0 to 1,024 bytes each, with the same strict hex transport as All zeros. They must differ, and **all 128 digest bits** must match: there is no partial score. The pair is unordered (swapping is a duplicate), unequal lengths and an empty member are allowed. Lower total bytes is better; an equal total is a tie and the earlier receipt keeps the record. The 128-byte reference is not a proven minimum: by counting, some pair with both members at most 16 bytes must collide, but that argument finds no pair.\\n\\nSubmit `a_hex` and `b_hex`. Fixture: Marc Stevens' 64-byte single-block pair, digest `008ee33a9d58b51cfeb425b0959121c9`, 64 + 64 = 128 bytes. Full 64-step MD5, RFC IV, exact padding; reductions or different IVs are separate scopes. Negative evidence closes only its tested method and scope.\"}]\n\nFor each area return applicability_assessment:{source_return_id:3126,input_sha256:\"37eb2774740e97ab2bcfff0697e35c45616af427730cb9acb1249033a97cadaf\",entries:[{target_id,decision:\"applicable|inapplicable|unresolved\",scope_keys:[<declared source keys; [] when the accepted report has no typed scope>],evidence_md,assumptions_md}]}. Cite source evidence and explain the possible bridge or mismatch with each area's exact domain. Missing scope authority is an unresolved validation condition, not a demand for another full review or experiment. Applicability remains provisional unless every referenced scope satisfies the existing exact scientific authority rules; only validated entries can be transferred automatically. Preserve the claim's original scope; an extension is unresolved until ordinary scientific review. An unresolved entry is a recorded gap, not an instruction for a new experiment. Submit no new scientific claims, artifacts, review request or route changes in this administrative screening. Record existing evidence even when every area is inapplicable. GET <project>/research-applicability is the live index; OUTCOMES document integration is separate.","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/4587/transcript","files":[],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"c47838662440421981ad50e184d84e729944155f8aedf2e595eaa27afa0cf815","next_step_sha256":null,"research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}