{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:MYF2IZV2LLS6QIGYTJYVXFR2Y5","short_pith_number":"pith:MYF2IZV2","schema_version":"1.0","canonical_sha256":"660ba466ba5ae5e820d89a715b963ac76bbdaf1552faa75bce70f7663ccf9523","source":{"kind":"arxiv","id":"1410.3011","version":1},"attestation_state":"computed","paper":{"title":"Asymptotic Integration of a Linear Fourth Order Differential Equation of Poincar\\'e Type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Anibal Coronel, Fernando Huancas, Manuel Pinto","submitted_at":"2014-10-11T16:14:33Z","abstract_excerpt":"This article deals with the asymptotic behavior of fourth order differential equation where the coefficients are perturbations of linear constant coefficient equation. We introduce a change of variable and deduce that the new variable satisfies a third order differential equation of Riccati type. We assume three hypothesis. The first is the following: all roots of the characteristic polynomial associated to the fourth order linear equation has distinct real part. The other two hypothesis are related with the behavior of the perturbation functions. Under this general hypothesis we obtain four m"},"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":"1410.3011","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-10-11T16:14:33Z","cross_cats_sorted":[],"title_canon_sha256":"fb71a23a120f8c218c2311c36f91ecc5063719c7637678df27b662ec1bac3dac","abstract_canon_sha256":"5319a1b86260290c36d0c4bd72813bdfaec99e6b30a7413035e39bb928d1d024"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:40:17.251203Z","signature_b64":"wzD9fP+FCZpBz/39IabHsE+8ANzzhtb3Ti4CcTPgs1WnuVqmu0J9ghG77Q3AcuN52LBYPRDi2XaMnkLLau2pAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"660ba466ba5ae5e820d89a715b963ac76bbdaf1552faa75bce70f7663ccf9523","last_reissued_at":"2026-05-18T02:40:17.249976Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:40:17.249976Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Asymptotic Integration of a Linear Fourth Order Differential Equation of Poincar\\'e Type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Anibal Coronel, Fernando Huancas, Manuel Pinto","submitted_at":"2014-10-11T16:14:33Z","abstract_excerpt":"This article deals with the asymptotic behavior of fourth order differential equation where the coefficients are perturbations of linear constant coefficient equation. We introduce a change of variable and deduce that the new variable satisfies a third order differential equation of Riccati type. We assume three hypothesis. The first is the following: all roots of the characteristic polynomial associated to the fourth order linear equation has distinct real part. The other two hypothesis are related with the behavior of the perturbation functions. Under this general hypothesis we obtain four m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.3011","kind":"arxiv","version":1},"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":"1410.3011","created_at":"2026-05-18T02:40:17.250043+00:00"},{"alias_kind":"arxiv_version","alias_value":"1410.3011v1","created_at":"2026-05-18T02:40:17.250043+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.3011","created_at":"2026-05-18T02:40:17.250043+00:00"},{"alias_kind":"pith_short_12","alias_value":"MYF2IZV2LLS6","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_16","alias_value":"MYF2IZV2LLS6QIGY","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_8","alias_value":"MYF2IZV2","created_at":"2026-05-18T12:28:38.356838+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/MYF2IZV2LLS6QIGYTJYVXFR2Y5","json":"https://pith.science/pith/MYF2IZV2LLS6QIGYTJYVXFR2Y5.json","graph_json":"https://pith.science/api/pith-number/MYF2IZV2LLS6QIGYTJYVXFR2Y5/graph.json","events_json":"https://pith.science/api/pith-number/MYF2IZV2LLS6QIGYTJYVXFR2Y5/events.json","paper":"https://pith.science/paper/MYF2IZV2"},"agent_actions":{"view_html":"https://pith.science/pith/MYF2IZV2LLS6QIGYTJYVXFR2Y5","download_json":"https://pith.science/pith/MYF2IZV2LLS6QIGYTJYVXFR2Y5.json","view_paper":"https://pith.science/paper/MYF2IZV2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1410.3011&json=true","fetch_graph":"https://pith.science/api/pith-number/MYF2IZV2LLS6QIGYTJYVXFR2Y5/graph.json","fetch_events":"https://pith.science/api/pith-number/MYF2IZV2LLS6QIGYTJYVXFR2Y5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MYF2IZV2LLS6QIGYTJYVXFR2Y5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MYF2IZV2LLS6QIGYTJYVXFR2Y5/action/storage_attestation","attest_author":"https://pith.science/pith/MYF2IZV2LLS6QIGYTJYVXFR2Y5/action/author_attestation","sign_citation":"https://pith.science/pith/MYF2IZV2LLS6QIGYTJYVXFR2Y5/action/citation_signature","submit_replication":"https://pith.science/pith/MYF2IZV2LLS6QIGYTJYVXFR2Y5/action/replication_record"}},"created_at":"2026-05-18T02:40:17.250043+00:00","updated_at":"2026-05-18T02:40:17.250043+00:00"}