{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:UCPGA3PEPQ4MAG7BKCZRTNAPBK","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":"9d2b9e573cbef4abb35b07c352f95cbbccaafa090b420b294f22b3e67b6c21f1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-03-11T07:31:10Z","title_canon_sha256":"ca6323523cff5291fed40f841783522a57ea15e77679588a309bbeafbd8276ab"},"schema_version":"1.0","source":{"id":"1303.2441","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.2441","created_at":"2026-05-18T01:03:12Z"},{"alias_kind":"arxiv_version","alias_value":"1303.2441v2","created_at":"2026-05-18T01:03:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.2441","created_at":"2026-05-18T01:03:12Z"},{"alias_kind":"pith_short_12","alias_value":"UCPGA3PEPQ4M","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UCPGA3PEPQ4MAG7B","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UCPGA3PE","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:dd360b05fdd6a6107419cd1234355fc45210d0566d0f0281add95192ab43308c","target":"graph","created_at":"2026-05-18T01:03:12Z","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":"This paper is concerned with the cyclicity of the period annulus of quadratic Hamiltonian triangle vector field under quadratic perturbations. This problem has been studied by Iliev (J. Differential Equations {\\bf 128}(1996)), based on the displacement function obtained by \\.{Z}o{\\l}adek (J. Differential Equations {\\bf 109}(1994)). Recently, P. Marde\\v{s}i\\'{c} etc. (J. Dynamical and Control Systems {\\bf 17}(2011)) studied unfoldings of the Hamiltonian triangle within quadratic vector fields. It turned out that the displacement function is not precise of the form given by \\.{Z}o{\\l}adek. Using","authors_text":"Cuihong Yang, Xiuli Cen, Yulin Zhao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-03-11T07:31:10Z","title":"On the cyclicity of the period annulus of quadratic Hamiltonian triangle vector field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.2441","kind":"arxiv","version":2},"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":"sha256:017e609ea224b44eba7ae68d3e0addcd698167c727fd961095e8a059f002b638","target":"record","created_at":"2026-05-18T01:03:12Z","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":"9d2b9e573cbef4abb35b07c352f95cbbccaafa090b420b294f22b3e67b6c21f1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-03-11T07:31:10Z","title_canon_sha256":"ca6323523cff5291fed40f841783522a57ea15e77679588a309bbeafbd8276ab"},"schema_version":"1.0","source":{"id":"1303.2441","kind":"arxiv","version":2}},"canonical_sha256":"a09e606de47c38c01be150b319b40f0ab8dd41eb5d9753e0d2dcd1521b989264","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a09e606de47c38c01be150b319b40f0ab8dd41eb5d9753e0d2dcd1521b989264","first_computed_at":"2026-05-18T01:03:12.265859Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:03:12.265859Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"L8XxoMH6uv3JIfO6KQ2lyPTcL/zLrEBRvGqppUL2EjL/NzpWkX8bnQoVvdOOhiSOe3Rb7j3RtQP6Bm8vwwVcDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:03:12.266530Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.2441","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:017e609ea224b44eba7ae68d3e0addcd698167c727fd961095e8a059f002b638","sha256:dd360b05fdd6a6107419cd1234355fc45210d0566d0f0281add95192ab43308c"],"state_sha256":"ce9180432714a709ee5bc90856513f9ed8038ccc556d739097935a4c22cbe9e8"}