{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:SMOZBFXS6DA6VAID5LC5F6SBDK","short_pith_number":"pith:SMOZBFXS","schema_version":"1.0","canonical_sha256":"931d9096f2f0c1ea8103eac5d2fa411ab5ccc13ec9833d73184cb7d135fd1882","source":{"kind":"arxiv","id":"1211.6978","version":2},"attestation_state":"computed","paper":{"title":"Extended Fermionic p-Adic q-Integrals On Zp In Connection With Applications Of Umbral Calculus","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Erdo\\u{g}an \\c{S}en, Mehmet Acikgoz, Serkan Araci","submitted_at":"2012-11-29T16:48:50Z","abstract_excerpt":"The purpose of this paper is to derive some applications of umbral calculus by using extended fermionic p-adic q-integral on Zp. From those applications, we derive some new interesting properties on the new family of Euler numbers and polynomials. That is, a systemic study of the class of Sheffer sequences in connection with generating function of the weighted Euler polynomials are given in the present paper."},"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":"1211.6978","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.NT","submitted_at":"2012-11-29T16:48:50Z","cross_cats_sorted":[],"title_canon_sha256":"33220e214d6f5a425af86b84f8f39fe749fee923e6cbe81b57a5b98dc7e78b1a","abstract_canon_sha256":"d84c3e063f19aa61b796dbc7813eb6b24b273a704ae4eae20436d86f68a2eb68"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:12:48.458550Z","signature_b64":"SVX10bZDSScGp3PsFx9kLattqAVDbVwg8w4q1YgV7AS8pQCXKoGvfuQ//tLpX5ijY4E3V3Qm1ExVWTTkBdrZBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"931d9096f2f0c1ea8103eac5d2fa411ab5ccc13ec9833d73184cb7d135fd1882","last_reissued_at":"2026-05-18T03:12:48.458066Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:12:48.458066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Extended Fermionic p-Adic q-Integrals On Zp In Connection With Applications Of Umbral Calculus","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Erdo\\u{g}an \\c{S}en, Mehmet Acikgoz, Serkan Araci","submitted_at":"2012-11-29T16:48:50Z","abstract_excerpt":"The purpose of this paper is to derive some applications of umbral calculus by using extended fermionic p-adic q-integral on Zp. From those applications, we derive some new interesting properties on the new family of Euler numbers and polynomials. That is, a systemic study of the class of Sheffer sequences in connection with generating function of the weighted Euler polynomials are given in the present paper."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.6978","kind":"arxiv","version":2},"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":"1211.6978","created_at":"2026-05-18T03:12:48.458137+00:00"},{"alias_kind":"arxiv_version","alias_value":"1211.6978v2","created_at":"2026-05-18T03:12:48.458137+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.6978","created_at":"2026-05-18T03:12:48.458137+00:00"},{"alias_kind":"pith_short_12","alias_value":"SMOZBFXS6DA6","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_16","alias_value":"SMOZBFXS6DA6VAID","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_8","alias_value":"SMOZBFXS","created_at":"2026-05-18T12:27:20.899486+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/SMOZBFXS6DA6VAID5LC5F6SBDK","json":"https://pith.science/pith/SMOZBFXS6DA6VAID5LC5F6SBDK.json","graph_json":"https://pith.science/api/pith-number/SMOZBFXS6DA6VAID5LC5F6SBDK/graph.json","events_json":"https://pith.science/api/pith-number/SMOZBFXS6DA6VAID5LC5F6SBDK/events.json","paper":"https://pith.science/paper/SMOZBFXS"},"agent_actions":{"view_html":"https://pith.science/pith/SMOZBFXS6DA6VAID5LC5F6SBDK","download_json":"https://pith.science/pith/SMOZBFXS6DA6VAID5LC5F6SBDK.json","view_paper":"https://pith.science/paper/SMOZBFXS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1211.6978&json=true","fetch_graph":"https://pith.science/api/pith-number/SMOZBFXS6DA6VAID5LC5F6SBDK/graph.json","fetch_events":"https://pith.science/api/pith-number/SMOZBFXS6DA6VAID5LC5F6SBDK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SMOZBFXS6DA6VAID5LC5F6SBDK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SMOZBFXS6DA6VAID5LC5F6SBDK/action/storage_attestation","attest_author":"https://pith.science/pith/SMOZBFXS6DA6VAID5LC5F6SBDK/action/author_attestation","sign_citation":"https://pith.science/pith/SMOZBFXS6DA6VAID5LC5F6SBDK/action/citation_signature","submit_replication":"https://pith.science/pith/SMOZBFXS6DA6VAID5LC5F6SBDK/action/replication_record"}},"created_at":"2026-05-18T03:12:48.458137+00:00","updated_at":"2026-05-18T03:12:48.458137+00:00"}