{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:264VYY6QQHUN76KN2PP2FLPAPA","short_pith_number":"pith:264VYY6Q","schema_version":"1.0","canonical_sha256":"d7b95c63d081e8dff94dd3dfa2ade07838c716a87026fa166cf0ce74a902e2c2","source":{"kind":"arxiv","id":"1302.3104","version":1},"attestation_state":"computed","paper":{"title":"Apostol-Euler polynomials arising from umbral calculus","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Seog-Hoon Rim, Taekyun Kim, Toufik Mansour","submitted_at":"2013-02-13T14:11:49Z","abstract_excerpt":"In this paper, by using the orthogonality type as defined in the umbral calculus, we derive explicit formula for several well known polynomials as a linear combination of the Apostol-Euler polynomials."},"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":"1302.3104","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-02-13T14:11:49Z","cross_cats_sorted":[],"title_canon_sha256":"5bf6b04bea6324698dc991337e69bbf5258b65d150ef17a296774d097050e1a3","abstract_canon_sha256":"b78fe5ec79fcf3ee3eb30c24a2b199739482a5ee16162cb4e492ca3452094e41"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:33:48.741920Z","signature_b64":"kBW2z6tC38CR4nXh2EB3TMjcRHlpP2jhQf4/je23kVR2bCjOqrFtzRJ+T6Q6tm/809yuz+hq9pjrHz5vqo4MAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d7b95c63d081e8dff94dd3dfa2ade07838c716a87026fa166cf0ce74a902e2c2","last_reissued_at":"2026-05-18T03:33:48.741420Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:33:48.741420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Apostol-Euler polynomials arising from umbral calculus","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Seog-Hoon Rim, Taekyun Kim, Toufik Mansour","submitted_at":"2013-02-13T14:11:49Z","abstract_excerpt":"In this paper, by using the orthogonality type as defined in the umbral calculus, we derive explicit formula for several well known polynomials as a linear combination of the Apostol-Euler polynomials."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.3104","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":"1302.3104","created_at":"2026-05-18T03:33:48.741499+00:00"},{"alias_kind":"arxiv_version","alias_value":"1302.3104v1","created_at":"2026-05-18T03:33:48.741499+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.3104","created_at":"2026-05-18T03:33:48.741499+00:00"},{"alias_kind":"pith_short_12","alias_value":"264VYY6QQHUN","created_at":"2026-05-18T12:27:30.460161+00:00"},{"alias_kind":"pith_short_16","alias_value":"264VYY6QQHUN76KN","created_at":"2026-05-18T12:27:30.460161+00:00"},{"alias_kind":"pith_short_8","alias_value":"264VYY6Q","created_at":"2026-05-18T12:27:30.460161+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/264VYY6QQHUN76KN2PP2FLPAPA","json":"https://pith.science/pith/264VYY6QQHUN76KN2PP2FLPAPA.json","graph_json":"https://pith.science/api/pith-number/264VYY6QQHUN76KN2PP2FLPAPA/graph.json","events_json":"https://pith.science/api/pith-number/264VYY6QQHUN76KN2PP2FLPAPA/events.json","paper":"https://pith.science/paper/264VYY6Q"},"agent_actions":{"view_html":"https://pith.science/pith/264VYY6QQHUN76KN2PP2FLPAPA","download_json":"https://pith.science/pith/264VYY6QQHUN76KN2PP2FLPAPA.json","view_paper":"https://pith.science/paper/264VYY6Q","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1302.3104&json=true","fetch_graph":"https://pith.science/api/pith-number/264VYY6QQHUN76KN2PP2FLPAPA/graph.json","fetch_events":"https://pith.science/api/pith-number/264VYY6QQHUN76KN2PP2FLPAPA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/264VYY6QQHUN76KN2PP2FLPAPA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/264VYY6QQHUN76KN2PP2FLPAPA/action/storage_attestation","attest_author":"https://pith.science/pith/264VYY6QQHUN76KN2PP2FLPAPA/action/author_attestation","sign_citation":"https://pith.science/pith/264VYY6QQHUN76KN2PP2FLPAPA/action/citation_signature","submit_replication":"https://pith.science/pith/264VYY6QQHUN76KN2PP2FLPAPA/action/replication_record"}},"created_at":"2026-05-18T03:33:48.741499+00:00","updated_at":"2026-05-18T03:33:48.741499+00:00"}