{"paper":{"title":"On the algebraic non-integrability of the Halphen system","license":"","headline":"","cross_cats":["nlin.SI"],"primary_cat":"solv-int","authors_text":"76821 Mont Saint Aignan Cedex, 87-100 Toru\\'n, Andrzej J.~Maciejewski (Institute of Astronomy, Chopina 12-18, France, Jean-Marie Strelcyn (D\\'epartement de Math\\'ematiques, N. Copernicus University, Poland), Universit\\'e de Rouen, URA CNRS 1378)","submitted_at":"1995-05-12T16:17:23Z","abstract_excerpt":"It is proved that the Halphen system of ordinary differential equations has no non-trivial rational first integrals."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"solv-int/9505002","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}