{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:WRA5ZJ5FRMHL5QAPU6WRYLWGA7","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":"b92cf2ad2e2fb4ba17cf176eefa6dd778b8a84b94d49342c6be039416886538a","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-07-16T08:59:47Z","title_canon_sha256":"ac6a5b5d6146e7f2e69d389ca32e0e1572c5564e16a8446ac3b4feed25e8dab1"},"schema_version":"1.0","source":{"id":"1907.06895","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.06895","created_at":"2026-05-17T23:40:28Z"},{"alias_kind":"arxiv_version","alias_value":"1907.06895v1","created_at":"2026-05-17T23:40:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.06895","created_at":"2026-05-17T23:40:28Z"},{"alias_kind":"pith_short_12","alias_value":"WRA5ZJ5FRMHL","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"WRA5ZJ5FRMHL5QAP","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"WRA5ZJ5F","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:329fa4ea8a1a5492cddbce757e2b4109570089451c0f17e0bf211470e87e24b1","target":"graph","created_at":"2026-05-17T23:40:28Z","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 Riccati equation method is used to establish some global solvability criteria for some classes of second order nonlinear ordinary differential equations. Two oscillation theorems are proved. The results are applied to the Emden - Fowler equation and to the Van der Pol type equation.","authors_text":"G. A. Grigorian","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-07-16T08:59:47Z","title":"Global solvability criteria for some classes of nonlinear second order ordinary differential equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.06895","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":"sha256:9ea16123f4c9a01a59fb38f7f4a9b75fc57080b63c42c05c36630c52effbc05f","target":"record","created_at":"2026-05-17T23:40:28Z","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":"b92cf2ad2e2fb4ba17cf176eefa6dd778b8a84b94d49342c6be039416886538a","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-07-16T08:59:47Z","title_canon_sha256":"ac6a5b5d6146e7f2e69d389ca32e0e1572c5564e16a8446ac3b4feed25e8dab1"},"schema_version":"1.0","source":{"id":"1907.06895","kind":"arxiv","version":1}},"canonical_sha256":"b441dca7a58b0ebec00fa7ad1c2ec607f896cc13f5315814dc2c3ec8b1dceee0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b441dca7a58b0ebec00fa7ad1c2ec607f896cc13f5315814dc2c3ec8b1dceee0","first_computed_at":"2026-05-17T23:40:28.763403Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:40:28.763403Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+7XDRpysr2owcBbHOycYnlPSGgZSd5qwlC3tjZBRPWLWiXVX0piFVpn+97+simN98hIOmrN5MPgK2m8JEU4oDA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:40:28.764078Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.06895","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9ea16123f4c9a01a59fb38f7f4a9b75fc57080b63c42c05c36630c52effbc05f","sha256:329fa4ea8a1a5492cddbce757e2b4109570089451c0f17e0bf211470e87e24b1"],"state_sha256":"d0fec4277f85511b27a700499dc545c7c56ed820bc6d88af0f9dee10a40a9b50"}