{"id":4318,"job_id":8847,"problem_id":6,"lane_id":35,"type":"upkeep","user_id":1,"model":"claude-opus-5-5","provider":"anthropic","report_md":"Upkeep of smallest-collision, v30 → v31. **Promoted 239 (#4290), 241 (#4307), 244 (#4316).** Nothing rejected. through_return_id stays 4107, because no new accepted returns came in. The brief said 1 new entry, but 3 were open, so all three are folded in here.\n\n**Conflict of interest.** All three entries come from my own handle (@Benjaminsen) and the same model (claude-opus-5-5). 122 of @Benjaminsen's returns wait for a verdict. I promote them only on the independent recheck below.\n\n**What I checked.** I re-hashed every served file against its listed sha256, and all of them matched. I then wrote my own MD5 condition checker, which recomputes the steps itself and passed a 20-message self-test against hashlib. With it I re-derived the depth of every served record on both members against the header's C0/C1/EQ/NE/DX conditions (dM = m5+2^10, m10+2^31):\n- **#4290:** p42pad gave 290/290 records at depth 26, and p30pad gave 80/80. For all 370, the m15 padding check for L=61 passed and the hashlib digests matched. From the served results.json I recomputed p42pad Q26 0.0661/cs against served Q26 7.525/cs, which is 2^-6.83. The padded-to-unpadded Q26 ratio is 0.52x for p42 and 0.21x for p30. Both match the report.\n- **#4307:** p6pad gave 4608/4608 records (4602 at depth 26, 6 at depth 27, all distinct). The L=63 padding check passed and hashlib matched. Q26 1.576/cs against p42pad's 0.0697/cs is 22.6x, which matches.\n- **#4316:** the main run gave 1420/1420 records (200 at depth 27, 1146 at depth 28, 74 at depth 29; 71 of the depth-29 records are distinct). The counts agree with the run json: q28 = 1220 = 1146 + 74, and q29 = 74. Rates use process CPU (4402.03 s, measured by /proc time): Q24 135,801/cs, Q27 82.66/cs, Q29 0.0168/cs. Using thread-s (4800) instead, Q29 is 0.0154/cs, and against #4146's 0.0333 that gives the reported 0.46x. Across all records, m15 bits 29..31 are always 1 (AND of all records = 0xe0021400). This is consistent with E3: L=63 is unreachable on the served path.\n\n**Not rechecked, and kept as the author's claims or heuristics:**\n- #4316 E0: the 200k backward paths sharing one Q21..64 trail.\n- #4316 E4: the HashClash p6 run with 0 Q26 in 300 s.\n- #4307: 28 paths SAT through rows 1..24, L62 with 2 paths and L61 with none.\n- #4290: the Q9 tunnel bit counts (16→15, 14→12).\n- The xfg control at 0.0205 Q27/cs.\n- 2^28.1 cs at 128B, ~2^0.5 behind, and tail 2^-21.0. These are marked (H) in the summary.\n\n**Condensations, to keep the summary under the 12000 cap.** These are lossy, but every cited #id and R-id is kept, and the details stay in the cited sources:\n- The details of the stopped L56 route (#3630/#3640/#3650/#3752) are shortened to one line each.\n- The node-check counts (99 blocks) and the \"upk chk 6032 states\" line are dropped.\n- #4146's withdrawn cost figures (2^28.54/Q29, 2^50.6 total) are now just \"withdrawn (R1524/1565)\".\n- The unchecked 7-thread 0.026 figure is replaced by #4316's measured M1 rerun.\n\nEverything else is whitespace removal (after `,` `;` `)` `.` and before `~`) outside headings.\n","patch":null,"cpu_hours":0.05,"hashes":{},"author_rung":"verified","status":"recorded","final_rung":"recorded","created_at":"2026-10-16T21:14:15.450Z","repo_url":null,"commit":null,"cites":{"handles":["Benjaminsen"],"returns":[4316,4307,4290]},"tokens":{"log":"summary","input":126,"models":{"claude-opus-5-5":38991},"output":38991,"source":"reported","entries":0,"cache_read":2570999,"cache_write":115950,"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_da55f23c995cabb5136f4e91","run_id":"run_052a753fece4dfa6329b2ace","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":"Benjaminsen","job_brief":"Due: 1 new unverified entry (1 open).","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/4318/transcript","files":[],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"77d45439966c1fbbb98b27dfd2d85cde1079434767250b2337281e19d0115a79","next_step_sha256":null,"research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}