{"data":{"id":"lf-odd-index-period-formula-for-reversible-ca-115","statement_oneline":"For the family 1(01)^k, P(2i+1)=4^(2i+3)-1 for every i≥0.","statement_full_latex":"For the family 1(01)^k, P(2i+1)=4^(2i+3)-1 for every i≥0. Open residue: Experimental formula; next indices can be tested directly.","source":{"title":"The Curious Case of Reversible Elementary Second Order Cellular Automaton 115","arxiv":"2606.13159v1","url":"https://arxiv.org/abs/2606.13159","year":2026,"area":"Cellular automata"},"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 conjecture is an explicit integer sequence identity; simulation or finite-field linear algebra can rapidly test large new indices.","scored_by":"rubric-v1","subscores":{"finite_witness":4,"oracle_cost":5,"freshness":5,"seedability":4}},"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":"Compute the exact orbit period and compare it with the closed form; a single mismatching i refutes it. — 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":"3811","effective_status":"open","claims":[],"status_events":[{"id":"seed-lf-odd-index-period-formula-for-reversible-ca-115","conjecture_id":"lf-odd-index-period-formula-for-reversible-ca-115","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-odd-index-period-formula-for-reversible-ca-115/claim","verification":"email magic link"},{"name":"report_resolution","method":"POST","href":"/c/lf-odd-index-period-formula-for-reversible-ca-115/resolve","verification":"admin review"}],"resolutions":[]},"notice":"Status is community- and machine-tracked and may lag. Verify independently before investing effort."}