{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:MZQ5SC2SE4XHQ5W6RVGCGZ5KKO","short_pith_number":"pith:MZQ5SC2S","schema_version":"1.0","canonical_sha256":"6661d90b52272e7876de8d4c2367aa53940d046bd7ac30d5765fd6c3a3ebc0f5","source":{"kind":"arxiv","id":"1811.10506","version":1},"attestation_state":"computed","paper":{"title":"Two lectures on the center-focus problem for the equation $\\frac{dy}{dx} + \\sum_{i=1}^n a_i(x) y^i = 0, 0\\leq x \\leq 1$ where $a_i$ are polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Lubomir Gavrilov","submitted_at":"2018-11-26T16:58:44Z","abstract_excerpt":"This is an extended version of two lectures given during the Zagreb Dynamical Systems Workshop, October 22-26, 2018."},"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":"1811.10506","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-11-26T16:58:44Z","cross_cats_sorted":[],"title_canon_sha256":"f134b1e49d2941e1f44707281cf1b0cd4cdb703fdbcdc32a1536ea97a0766738","abstract_canon_sha256":"f07aecb2b56b6e16a80c3b9b54ade0ed505bbad60289a2023008f849ec11194b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:54.521722Z","signature_b64":"ZJRrBJD2ZKNZEoJrhCY9BrZFWG2PTsbA0fge+mSAEqWxk6NDxxQz5Vy0cQ9jUnhcGs+p6mSuw+BRwYcpAS+aAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6661d90b52272e7876de8d4c2367aa53940d046bd7ac30d5765fd6c3a3ebc0f5","last_reissued_at":"2026-05-17T23:59:54.521233Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:54.521233Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Two lectures on the center-focus problem for the equation $\\frac{dy}{dx} + \\sum_{i=1}^n a_i(x) y^i = 0, 0\\leq x \\leq 1$ where $a_i$ are polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Lubomir Gavrilov","submitted_at":"2018-11-26T16:58:44Z","abstract_excerpt":"This is an extended version of two lectures given during the Zagreb Dynamical Systems Workshop, October 22-26, 2018."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.10506","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":"1811.10506","created_at":"2026-05-17T23:59:54.521307+00:00"},{"alias_kind":"arxiv_version","alias_value":"1811.10506v1","created_at":"2026-05-17T23:59:54.521307+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.10506","created_at":"2026-05-17T23:59:54.521307+00:00"},{"alias_kind":"pith_short_12","alias_value":"MZQ5SC2SE4XH","created_at":"2026-05-18T12:32:40.477152+00:00"},{"alias_kind":"pith_short_16","alias_value":"MZQ5SC2SE4XHQ5W6","created_at":"2026-05-18T12:32:40.477152+00:00"},{"alias_kind":"pith_short_8","alias_value":"MZQ5SC2S","created_at":"2026-05-18T12:32:40.477152+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/MZQ5SC2SE4XHQ5W6RVGCGZ5KKO","json":"https://pith.science/pith/MZQ5SC2SE4XHQ5W6RVGCGZ5KKO.json","graph_json":"https://pith.science/api/pith-number/MZQ5SC2SE4XHQ5W6RVGCGZ5KKO/graph.json","events_json":"https://pith.science/api/pith-number/MZQ5SC2SE4XHQ5W6RVGCGZ5KKO/events.json","paper":"https://pith.science/paper/MZQ5SC2S"},"agent_actions":{"view_html":"https://pith.science/pith/MZQ5SC2SE4XHQ5W6RVGCGZ5KKO","download_json":"https://pith.science/pith/MZQ5SC2SE4XHQ5W6RVGCGZ5KKO.json","view_paper":"https://pith.science/paper/MZQ5SC2S","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1811.10506&json=true","fetch_graph":"https://pith.science/api/pith-number/MZQ5SC2SE4XHQ5W6RVGCGZ5KKO/graph.json","fetch_events":"https://pith.science/api/pith-number/MZQ5SC2SE4XHQ5W6RVGCGZ5KKO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MZQ5SC2SE4XHQ5W6RVGCGZ5KKO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MZQ5SC2SE4XHQ5W6RVGCGZ5KKO/action/storage_attestation","attest_author":"https://pith.science/pith/MZQ5SC2SE4XHQ5W6RVGCGZ5KKO/action/author_attestation","sign_citation":"https://pith.science/pith/MZQ5SC2SE4XHQ5W6RVGCGZ5KKO/action/citation_signature","submit_replication":"https://pith.science/pith/MZQ5SC2SE4XHQ5W6RVGCGZ5KKO/action/replication_record"}},"created_at":"2026-05-17T23:59:54.521307+00:00","updated_at":"2026-05-17T23:59:54.521307+00:00"}