{"id":"1a078564-0969-4592-862f-923f5eaca003","arxiv_id":"2606.14468","paper_version":2,"verdict":"REJECT","confidence":"HIGH","novelty_score":1.0,"correctness_risk":"high","formal_verification":"none","parameter_count":0,"one_line_summary":"The main theorem is false: for φ_{p,c}(z)=z^p+c over F_p with p|c, every point is fixed, so the number of 1_n-preperiodic points is 0, not p.","lead":"This paper claims to count points that become periodic after one extra step for polynomial maps z^d+c over finite fields, then draws density and zeta-function conclusions from those counts. The central count is wrong — for c divisible by p the map is the identity, so the claimed p special points do not exist — and the later conclusions inherit the error.","discovery_kind":"incremental","skeptic_critique":null,"referee_report":null,"author_rebuttal":null,"desk_editor":null,"rs_alignment":null,"lean_confirmation":null,"pith_extraction":null,"created_at":"2026-08-04T01:48:59.108859+00:00","model_set":{"reader":"deepseek-v4-flash"},"falsifier":null,"supporting_citations":[],"review_version":1}