{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:BW4TZRG4TPO6JKMXMA7RNE4LEW","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":"ca8c77be651ff2c969ea3d019a8f0373c017d9238417e1e9856f71a9ed43f1f8","cross_cats_sorted":["math-ph","math.CA","math.DS","math.MP"],"license":"","primary_cat":"nlin.SI","submitted_at":"2000-03-17T11:50:22Z","title_canon_sha256":"3757375153228cd097cd7044e1a5745044302d86ddd73965f3523277aa653b76"},"schema_version":"1.0","source":{"id":"nlin/0003039","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0003039","created_at":"2026-05-18T01:05:22Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0003039v3","created_at":"2026-05-18T01:05:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0003039","created_at":"2026-05-18T01:05:22Z"},{"alias_kind":"pith_short_12","alias_value":"BW4TZRG4TPO6","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"BW4TZRG4TPO6JKMX","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"BW4TZRG4","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:c7e82569f5ab573315b93d89ad3d14c493c6cb10a0f253d80395fad0f478a150","target":"graph","created_at":"2026-05-18T01:05:22Z","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":"The singularity analysis is carried out for a system of four first-order quadratic ODEs with a parameter, which was proposed recently by Golubchik and Sokolov. A transformation of dependent variables is revealed by the analysis, after which the transformed system possesses the Painlev\\'{e} property and does not contain the parameter.","authors_text":"Sergei Yu. Sakovich","cross_cats":["math-ph","math.CA","math.DS","math.MP"],"headline":"","license":"","primary_cat":"nlin.SI","submitted_at":"2000-03-17T11:50:22Z","title":"A system of four ODEs: the singularity analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0003039","kind":"arxiv","version":3},"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":"sha256:1171378b16536d58ca214a7637671917ef7adec7a4291a0b3b807eb6bfa8cfd4","target":"record","created_at":"2026-05-18T01:05:22Z","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":"ca8c77be651ff2c969ea3d019a8f0373c017d9238417e1e9856f71a9ed43f1f8","cross_cats_sorted":["math-ph","math.CA","math.DS","math.MP"],"license":"","primary_cat":"nlin.SI","submitted_at":"2000-03-17T11:50:22Z","title_canon_sha256":"3757375153228cd097cd7044e1a5745044302d86ddd73965f3523277aa653b76"},"schema_version":"1.0","source":{"id":"nlin/0003039","kind":"arxiv","version":3}},"canonical_sha256":"0db93cc4dc9bdde4a997603f16938b2591ced85d869c6be4bfe8fe03927ad668","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0db93cc4dc9bdde4a997603f16938b2591ced85d869c6be4bfe8fe03927ad668","first_computed_at":"2026-05-18T01:05:22.273801Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:22.273801Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WEnSZC5aVO2U383W8jDHh6oU4GC6CYtG8znOU+m1fe1sgrp4GF7jvApP7JG8/cHw3GtAzGAPrXahB2XxLCVWDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:22.274225Z","signed_message":"canonical_sha256_bytes"},"source_id":"nlin/0003039","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1171378b16536d58ca214a7637671917ef7adec7a4291a0b3b807eb6bfa8cfd4","sha256:c7e82569f5ab573315b93d89ad3d14c493c6cb10a0f253d80395fad0f478a150"],"state_sha256":"00b2ce8bfcae15520e00e7862c36aa8c0f9b16b8ffcab954e2159419e128388f"}