{"id":"f5b69989-d0b8-4a1d-9798-18fa966f68f9","arxiv_id":"1908.00383","paper_version":3,"verdict":"REJECT","confidence":"HIGH","novelty_score":5.0,"correctness_risk":"high","formal_verification":"none","parameter_count":0,"one_line_summary":"First-degree prime ideals of Z[alpha+beta] can be combined from those of Z[alpha] and Z[beta], but the claimed preservation of divisibility of principal ideals rests on a false intersection formula.","lead":"This paper tries to describe first-degree prime ideals of biquadratic number field orders in terms of those of two quadratic suborders, and claims the correspondence preserves divisibility of prescribed principal ideals. A central proposition in the divisibility part is false, so the main advertised result about divisibility is not established.","discovery_kind":"extension","skeptic_critique":null,"referee_report":null,"author_rebuttal":null,"desk_editor":null,"rs_alignment":null,"lean_confirmation":null,"pith_extraction":null,"created_at":"2026-08-14T16:04:43.114758+00:00","model_set":{"reader":"deepseek-v4-flash"},"falsifier":null,"supporting_citations":[],"review_version":1}