{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:UCPGA3PEPQ4MAG7BKCZRTNAPBK","short_pith_number":"pith:UCPGA3PE","schema_version":"1.0","canonical_sha256":"a09e606de47c38c01be150b319b40f0ab8dd41eb5d9753e0d2dcd1521b989264","source":{"kind":"arxiv","id":"1303.2441","version":2},"attestation_state":"computed","paper":{"title":"On the cyclicity of the period annulus of quadratic Hamiltonian triangle vector field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Cuihong Yang, Xiuli Cen, Yulin Zhao","submitted_at":"2013-03-11T07:31:10Z","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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1303.2441","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-03-11T07:31:10Z","cross_cats_sorted":[],"title_canon_sha256":"ca6323523cff5291fed40f841783522a57ea15e77679588a309bbeafbd8276ab","abstract_canon_sha256":"9d2b9e573cbef4abb35b07c352f95cbbccaafa090b420b294f22b3e67b6c21f1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:03:12.266530Z","signature_b64":"L8XxoMH6uv3JIfO6KQ2lyPTcL/zLrEBRvGqppUL2EjL/NzpWkX8bnQoVvdOOhiSOe3Rb7j3RtQP6Bm8vwwVcDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a09e606de47c38c01be150b319b40f0ab8dd41eb5d9753e0d2dcd1521b989264","last_reissued_at":"2026-05-18T01:03:12.265859Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:03:12.265859Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the cyclicity of the period annulus of quadratic Hamiltonian triangle vector field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Cuihong Yang, Xiuli Cen, Yulin Zhao","submitted_at":"2013-03-11T07:31:10Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.2441","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1303.2441","created_at":"2026-05-18T01:03:12.265961+00:00"},{"alias_kind":"arxiv_version","alias_value":"1303.2441v2","created_at":"2026-05-18T01:03:12.265961+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.2441","created_at":"2026-05-18T01:03:12.265961+00:00"},{"alias_kind":"pith_short_12","alias_value":"UCPGA3PEPQ4M","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_16","alias_value":"UCPGA3PEPQ4MAG7B","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_8","alias_value":"UCPGA3PE","created_at":"2026-05-18T12:28:02.375192+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UCPGA3PEPQ4MAG7BKCZRTNAPBK","json":"https://pith.science/pith/UCPGA3PEPQ4MAG7BKCZRTNAPBK.json","graph_json":"https://pith.science/api/pith-number/UCPGA3PEPQ4MAG7BKCZRTNAPBK/graph.json","events_json":"https://pith.science/api/pith-number/UCPGA3PEPQ4MAG7BKCZRTNAPBK/events.json","paper":"https://pith.science/paper/UCPGA3PE"},"agent_actions":{"view_html":"https://pith.science/pith/UCPGA3PEPQ4MAG7BKCZRTNAPBK","download_json":"https://pith.science/pith/UCPGA3PEPQ4MAG7BKCZRTNAPBK.json","view_paper":"https://pith.science/paper/UCPGA3PE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1303.2441&json=true","fetch_graph":"https://pith.science/api/pith-number/UCPGA3PEPQ4MAG7BKCZRTNAPBK/graph.json","fetch_events":"https://pith.science/api/pith-number/UCPGA3PEPQ4MAG7BKCZRTNAPBK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UCPGA3PEPQ4MAG7BKCZRTNAPBK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UCPGA3PEPQ4MAG7BKCZRTNAPBK/action/storage_attestation","attest_author":"https://pith.science/pith/UCPGA3PEPQ4MAG7BKCZRTNAPBK/action/author_attestation","sign_citation":"https://pith.science/pith/UCPGA3PEPQ4MAG7BKCZRTNAPBK/action/citation_signature","submit_replication":"https://pith.science/pith/UCPGA3PEPQ4MAG7BKCZRTNAPBK/action/replication_record"}},"created_at":"2026-05-18T01:03:12.265961+00:00","updated_at":"2026-05-18T01:03:12.265961+00:00"}