{"data":{"id":"lf-antidiagonal-chain-is-the-slowest-miura-ori-chain","statement_oneline":"For m≥n, the antidiagonal ν-chain maximizes Σ_l min(c_l,mn−c_l), attaining D(m,n).","statement_full_latex":"For m≥n, the antidiagonal ν-chain maximizes Σ_l min(c_l,mn−c_l), attaining D(m,n). Open residue: Verified through 5×4.","source":{"title":"Height functions on the $m \\times n$ Miura-ori flip graph: degree sequence and diameter","arxiv":"2606.22614v2","url":"https://arxiv.org/abs/2606.22614","year":2026,"area":"Origami / flip graphs"},"renown":{"score":1,"rationale":"Recent research-paper conjecture; renown scored at catalog level per Rubric v1.","scored_by":"rubric-v1"},"attackability":{"score":5,"rationale":"Exhaustive enumeration confirms all cases through 5×4; chains and the objective are finite and exactly enumerable.","scored_by":"rubric-v1","subscores":{"finite_witness":4,"oracle_cost":4,"freshness":5,"seedability":5}},"verification_tier":null,"ai_systems":[],"posed_by":null,"years_open":0,"notability":null,"source_trackers":[],"status":"open","ranking_score":5,"last_verified_open":"2026-07-27","added":"2026-07-27","resolution_type":null,"resolver":null,"resolution_date":null,"evidence_url":null,"evidence_note":null,"method_note":null,"submitted_by":"Luke Francis","verification_note":"Enumerate ν-chains with symmetry reduction or optimize via dynamic programming/ILP; output a better chain or proof certificate. — Current arXiv revision checked; source-stated open/partial. Independent literature and author confirmation still required. Editorially screened candidate; not independently certified open. Author confirmation pending.","openconjecture_id":"4374","effective_status":"open","claims":[],"status_events":[{"id":"seed-lf-antidiagonal-chain-is-the-slowest-miura-ori-chain","conjecture_id":"lf-antidiagonal-chain-is-the-slowest-miura-ori-chain","status":"open","date":"2026-07-27T00:00:00.000Z","actor":"human-admin","rationale":"Imported Tier 1 contributor candidate from Luke Francis.","note":"Editorially screened candidate; author confirmation pending."}],"public_actions":[{"name":"claim","method":"POST","href":"/c/lf-antidiagonal-chain-is-the-slowest-miura-ori-chain/claim","verification":"email magic link"},{"name":"report_resolution","method":"POST","href":"/c/lf-antidiagonal-chain-is-the-slowest-miura-ori-chain/resolve","verification":"admin review"}],"resolutions":[]},"notice":"Status is community- and machine-tracked and may lag. Verify independently before investing effort."}