{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:UGMPXIQ62MMHFD2Y5ONI6HV34E","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"af03fd864f8dfdc160aaf80988903507c5298df4cd6816d2cafc4666243f519d","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-05-15T04:55:12Z","title_canon_sha256":"842d115d49d67c80a4f635bc4ef3b9461a21ea508e610a34d221ef6a3324530b"},"schema_version":"1.0","source":{"id":"1405.3740","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.3740","created_at":"2026-05-18T01:43:12Z"},{"alias_kind":"arxiv_version","alias_value":"1405.3740v1","created_at":"2026-05-18T01:43:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.3740","created_at":"2026-05-18T01:43:12Z"},{"alias_kind":"pith_short_12","alias_value":"UGMPXIQ62MMH","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"UGMPXIQ62MMHFD2Y","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"UGMPXIQ6","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:4a21f8f3932c5e7fc08b78c03b5d710f9b088496198409185eb09201996aedbe","target":"graph","created_at":"2026-05-18T01:43:12Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We present several novel examples of integrable quadratic vector fields for which Kahan's discretization method preserves integrability. Our examples include generalized Suslov and Ishii systems, Nambu systems, Riccati systems, and the first Painlev\\'e equation. We also discuss how Manin transformations arise in Kahan discretizations of certain vector fields.","authors_text":"Brynjulf Owren, David I McLaren, Elena Celledoni, G R W Quispel, Robert I McLachlan","cross_cats":["math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-05-15T04:55:12Z","title":"Integrability properties of Kahan's method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.3740","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:7b5e3c4be630be82158cd54f7fe59006866f8b4fc2cec8cf6dda5bdfd805ffaa","target":"record","created_at":"2026-05-18T01:43:12Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"af03fd864f8dfdc160aaf80988903507c5298df4cd6816d2cafc4666243f519d","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-05-15T04:55:12Z","title_canon_sha256":"842d115d49d67c80a4f635bc4ef3b9461a21ea508e610a34d221ef6a3324530b"},"schema_version":"1.0","source":{"id":"1405.3740","kind":"arxiv","version":1}},"canonical_sha256":"a198fba21ed318728f58eb9a8f1ebbe13054095ed9c304bf990d79b25c2b531a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a198fba21ed318728f58eb9a8f1ebbe13054095ed9c304bf990d79b25c2b531a","first_computed_at":"2026-05-18T01:43:12.185106Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:43:12.185106Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cgT5VH7OS0Yco05QpX6yZU9sXpoGQFwJ5WMyPkmzWPMOt2lkcA5Yr7GtLfWMAiYwlzSiep1WMPFEXkKonl/wAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:43:12.185875Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.3740","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7b5e3c4be630be82158cd54f7fe59006866f8b4fc2cec8cf6dda5bdfd805ffaa","sha256:4a21f8f3932c5e7fc08b78c03b5d710f9b088496198409185eb09201996aedbe"],"state_sha256":"49e830455e71250c0670c19880fddf7e169ba19d9166b29567a363648ebf48a9"}