{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:WDUEB5ILQWDEQNQ5QSPJH5GMOS","short_pith_number":"pith:WDUEB5IL","schema_version":"1.0","canonical_sha256":"b0e840f50b858648361d849e93f4cc7491d435b2a32d473d89ae98bbeeeeb5b1","source":{"kind":"arxiv","id":"1907.07814","version":1},"attestation_state":"computed","paper":{"title":"Gon\\v{c}arov Polynomials in Partition Lattices and Exponential Families","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Ayomikun Adeniran, Catherine Yan","submitted_at":"2019-07-17T23:44:58Z","abstract_excerpt":"Classical Gon\\v{c}arov polynomials arose in numerical analysis as a basis for the solutions of the Gon\\v{c}arov interpolation problem. These polynomials provide a natural algebraic tool in the enumerative theory of parking functions. By replacing the differentiation operator with a delta operator and using the theory of finite operator calculus, Lorentz, Tringali and Yan introduced the sequence of generalized Gon\\v{c}arov polynomials associated to a pair $(\\Delta, Z)$ of a delta operator $\\Delta$ and an interpolation grid $Z$. Generalized Gon\\v{c}arov polynomials share many nice algebraic prop"},"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":"1907.07814","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-07-17T23:44:58Z","cross_cats_sorted":[],"title_canon_sha256":"6793b43e6b00b9c15c5466dd3f0595fe6ca9161c6924c4f24c2cb63a5bee6076","abstract_canon_sha256":"d229d72f5c54810836d2f6113fc8a6b8322fc211f788c342d1d056164445fea5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:40:16.205672Z","signature_b64":"5lz2yhZgKpkC1sNcnNGR7pInQYC8Ib4N+ii3PBvYUik7Eain9v5D/fXPuCXmZJHT1v24gT+YbttsIdV8hQwNBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b0e840f50b858648361d849e93f4cc7491d435b2a32d473d89ae98bbeeeeb5b1","last_reissued_at":"2026-05-17T23:40:16.204920Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:40:16.204920Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gon\\v{c}arov Polynomials in Partition Lattices and Exponential Families","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Ayomikun Adeniran, Catherine Yan","submitted_at":"2019-07-17T23:44:58Z","abstract_excerpt":"Classical Gon\\v{c}arov polynomials arose in numerical analysis as a basis for the solutions of the Gon\\v{c}arov interpolation problem. These polynomials provide a natural algebraic tool in the enumerative theory of parking functions. By replacing the differentiation operator with a delta operator and using the theory of finite operator calculus, Lorentz, Tringali and Yan introduced the sequence of generalized Gon\\v{c}arov polynomials associated to a pair $(\\Delta, Z)$ of a delta operator $\\Delta$ and an interpolation grid $Z$. Generalized Gon\\v{c}arov polynomials share many nice algebraic prop"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.07814","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":"1907.07814","created_at":"2026-05-17T23:40:16.205035+00:00"},{"alias_kind":"arxiv_version","alias_value":"1907.07814v1","created_at":"2026-05-17T23:40:16.205035+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.07814","created_at":"2026-05-17T23:40:16.205035+00:00"},{"alias_kind":"pith_short_12","alias_value":"WDUEB5ILQWDE","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_16","alias_value":"WDUEB5ILQWDEQNQ5","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_8","alias_value":"WDUEB5IL","created_at":"2026-05-18T12:33:30.264802+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/WDUEB5ILQWDEQNQ5QSPJH5GMOS","json":"https://pith.science/pith/WDUEB5ILQWDEQNQ5QSPJH5GMOS.json","graph_json":"https://pith.science/api/pith-number/WDUEB5ILQWDEQNQ5QSPJH5GMOS/graph.json","events_json":"https://pith.science/api/pith-number/WDUEB5ILQWDEQNQ5QSPJH5GMOS/events.json","paper":"https://pith.science/paper/WDUEB5IL"},"agent_actions":{"view_html":"https://pith.science/pith/WDUEB5ILQWDEQNQ5QSPJH5GMOS","download_json":"https://pith.science/pith/WDUEB5ILQWDEQNQ5QSPJH5GMOS.json","view_paper":"https://pith.science/paper/WDUEB5IL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1907.07814&json=true","fetch_graph":"https://pith.science/api/pith-number/WDUEB5ILQWDEQNQ5QSPJH5GMOS/graph.json","fetch_events":"https://pith.science/api/pith-number/WDUEB5ILQWDEQNQ5QSPJH5GMOS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WDUEB5ILQWDEQNQ5QSPJH5GMOS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WDUEB5ILQWDEQNQ5QSPJH5GMOS/action/storage_attestation","attest_author":"https://pith.science/pith/WDUEB5ILQWDEQNQ5QSPJH5GMOS/action/author_attestation","sign_citation":"https://pith.science/pith/WDUEB5ILQWDEQNQ5QSPJH5GMOS/action/citation_signature","submit_replication":"https://pith.science/pith/WDUEB5ILQWDEQNQ5QSPJH5GMOS/action/replication_record"}},"created_at":"2026-05-17T23:40:16.205035+00:00","updated_at":"2026-05-17T23:40:16.205035+00:00"}