{"data":{"id":"lf-prefix-identity-for-almost-golomb-sequences","statement_oneline":"For every r≥3, a_r(r)=G(r−1).","statement_full_latex":"For every r≥3, a_r(r)=G(r−1). Open residue: Verified for all r≤200.","source":{"title":"Almost Golomb Sequences","arxiv":"2604.02404v1","url":"https://arxiv.org/abs/2604.02404","year":2026,"area":"Combinatorial sequences"},"renown":{"score":1,"rationale":"Recent research-paper conjecture; renown scored at catalog level per Rubric v1.","scored_by":"rubric-v1"},"attackability":{"score":5,"rationale":"The identity has been checked through r=200; the recurrence is deterministic and a counterexample is a single integer mismatch.","scored_by":"rubric-v1","subscores":{"finite_witness":4,"oracle_cost":5,"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":"Generate both sequences exactly with independent implementations and compare; preserve derivation traces. — 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":"1689","effective_status":"open","claims":[],"status_events":[{"id":"seed-lf-prefix-identity-for-almost-golomb-sequences","conjecture_id":"lf-prefix-identity-for-almost-golomb-sequences","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-prefix-identity-for-almost-golomb-sequences/claim","verification":"email magic link"},{"name":"report_resolution","method":"POST","href":"/c/lf-prefix-identity-for-almost-golomb-sequences/resolve","verification":"admin review"}],"resolutions":[]},"notice":"Status is community- and machine-tracked and may lag. Verify independently before investing effort."}