{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:XSMQJTURWFD3PQP5T3Q3MZOCDZ","short_pith_number":"pith:XSMQJTUR","schema_version":"1.0","canonical_sha256":"bc9904ce91b147b7c1fd9ee1b665c21e647932cbaf7ba17f43d88bcb019ba3f0","source":{"kind":"arxiv","id":"1509.00375","version":1},"attestation_state":"computed","paper":{"title":"A hybrid symbolic-numerical approach to the center-focus problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Adam Mahdi, Claudio Pessoa, Jonathan D. Hauenstein","submitted_at":"2015-09-01T16:17:27Z","abstract_excerpt":"We propose a new hybrid symbolic-numerical approach to the center-focus problem. The method allowed us to obtain center conditions for a three-dimensional system of differential equations, which was previously not possible using traditional, purely symbolic computational techniques."},"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":"1509.00375","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-09-01T16:17:27Z","cross_cats_sorted":[],"title_canon_sha256":"ab4c59ee36a513fb54c19c6c5268efa7ae48969be26a9d840001abbd92003e48","abstract_canon_sha256":"6aa34eddf1c08e81cd250dadc3f08a54ce8bef78f26dbb7ba6cf454570c7725c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:14.259122Z","signature_b64":"SWO0DQltVrjqQ9dVA3gqkFgNafzKdBJBH0HoJulNmevX6l3/pyC/YcHOhu8mJP6cz4to3o2QSVQsfophfu41CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bc9904ce91b147b7c1fd9ee1b665c21e647932cbaf7ba17f43d88bcb019ba3f0","last_reissued_at":"2026-05-18T01:34:14.258125Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:14.258125Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A hybrid symbolic-numerical approach to the center-focus problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Adam Mahdi, Claudio Pessoa, Jonathan D. Hauenstein","submitted_at":"2015-09-01T16:17:27Z","abstract_excerpt":"We propose a new hybrid symbolic-numerical approach to the center-focus problem. The method allowed us to obtain center conditions for a three-dimensional system of differential equations, which was previously not possible using traditional, purely symbolic computational techniques."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.00375","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":"1509.00375","created_at":"2026-05-18T01:34:14.258298+00:00"},{"alias_kind":"arxiv_version","alias_value":"1509.00375v1","created_at":"2026-05-18T01:34:14.258298+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.00375","created_at":"2026-05-18T01:34:14.258298+00:00"},{"alias_kind":"pith_short_12","alias_value":"XSMQJTURWFD3","created_at":"2026-05-18T12:29:50.041715+00:00"},{"alias_kind":"pith_short_16","alias_value":"XSMQJTURWFD3PQP5","created_at":"2026-05-18T12:29:50.041715+00:00"},{"alias_kind":"pith_short_8","alias_value":"XSMQJTUR","created_at":"2026-05-18T12:29:50.041715+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/XSMQJTURWFD3PQP5T3Q3MZOCDZ","json":"https://pith.science/pith/XSMQJTURWFD3PQP5T3Q3MZOCDZ.json","graph_json":"https://pith.science/api/pith-number/XSMQJTURWFD3PQP5T3Q3MZOCDZ/graph.json","events_json":"https://pith.science/api/pith-number/XSMQJTURWFD3PQP5T3Q3MZOCDZ/events.json","paper":"https://pith.science/paper/XSMQJTUR"},"agent_actions":{"view_html":"https://pith.science/pith/XSMQJTURWFD3PQP5T3Q3MZOCDZ","download_json":"https://pith.science/pith/XSMQJTURWFD3PQP5T3Q3MZOCDZ.json","view_paper":"https://pith.science/paper/XSMQJTUR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1509.00375&json=true","fetch_graph":"https://pith.science/api/pith-number/XSMQJTURWFD3PQP5T3Q3MZOCDZ/graph.json","fetch_events":"https://pith.science/api/pith-number/XSMQJTURWFD3PQP5T3Q3MZOCDZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XSMQJTURWFD3PQP5T3Q3MZOCDZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XSMQJTURWFD3PQP5T3Q3MZOCDZ/action/storage_attestation","attest_author":"https://pith.science/pith/XSMQJTURWFD3PQP5T3Q3MZOCDZ/action/author_attestation","sign_citation":"https://pith.science/pith/XSMQJTURWFD3PQP5T3Q3MZOCDZ/action/citation_signature","submit_replication":"https://pith.science/pith/XSMQJTURWFD3PQP5T3Q3MZOCDZ/action/replication_record"}},"created_at":"2026-05-18T01:34:14.258298+00:00","updated_at":"2026-05-18T01:34:14.258298+00:00"}