{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:3XQTM7XL2EWEWG7ENVWWOO53QO","short_pith_number":"pith:3XQTM7XL","schema_version":"1.0","canonical_sha256":"dde1367eebd12c4b1be46d6d673bbb839ce883945b635929c5e1fd72ce4f6599","source":{"kind":"arxiv","id":"1701.02674","version":1},"attestation_state":"computed","paper":{"title":"Some new formulas for Appell series over finite fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Long Li, Rui Mao, Xin Li","submitted_at":"2017-01-03T10:03:56Z","abstract_excerpt":"In 1987 Greene introduced the notion of the finite field analogue of hypergeometric series. In this paper we give a finite field analogue of Appell series and obtain some transformation and reduction formulas. We also establish the generating functions for Appell series over finite fields."},"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":"1701.02674","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-01-03T10:03:56Z","cross_cats_sorted":[],"title_canon_sha256":"4a39350f85d054697ffe62429c46623da86b081407cbba32909c3e0183f5cbc0","abstract_canon_sha256":"f36dc99d6e233b59a2ac3a8b2301b3cf32b684e70f542e486208f0f02e263bb6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:53:03.696486Z","signature_b64":"EPDVDc8MLqgpS3zyFiL+SJcpQmvX7OzCf8A/Iwm42XFSFLPUkJAdTqe+vWmezvrkoZihEjQq1BOOTQtsRAsUDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dde1367eebd12c4b1be46d6d673bbb839ce883945b635929c5e1fd72ce4f6599","last_reissued_at":"2026-05-18T00:53:03.695746Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:53:03.695746Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Some new formulas for Appell series over finite fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Long Li, Rui Mao, Xin Li","submitted_at":"2017-01-03T10:03:56Z","abstract_excerpt":"In 1987 Greene introduced the notion of the finite field analogue of hypergeometric series. In this paper we give a finite field analogue of Appell series and obtain some transformation and reduction formulas. We also establish the generating functions for Appell series over finite fields."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.02674","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":"1701.02674","created_at":"2026-05-18T00:53:03.695873+00:00"},{"alias_kind":"arxiv_version","alias_value":"1701.02674v1","created_at":"2026-05-18T00:53:03.695873+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.02674","created_at":"2026-05-18T00:53:03.695873+00:00"},{"alias_kind":"pith_short_12","alias_value":"3XQTM7XL2EWE","created_at":"2026-05-18T12:30:58.224056+00:00"},{"alias_kind":"pith_short_16","alias_value":"3XQTM7XL2EWEWG7E","created_at":"2026-05-18T12:30:58.224056+00:00"},{"alias_kind":"pith_short_8","alias_value":"3XQTM7XL","created_at":"2026-05-18T12:30:58.224056+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.02723","citing_title":"Explicit hypergeometric modularity of certain weight two and four Hecke eigenforms","ref_index":28,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3XQTM7XL2EWEWG7ENVWWOO53QO","json":"https://pith.science/pith/3XQTM7XL2EWEWG7ENVWWOO53QO.json","graph_json":"https://pith.science/api/pith-number/3XQTM7XL2EWEWG7ENVWWOO53QO/graph.json","events_json":"https://pith.science/api/pith-number/3XQTM7XL2EWEWG7ENVWWOO53QO/events.json","paper":"https://pith.science/paper/3XQTM7XL"},"agent_actions":{"view_html":"https://pith.science/pith/3XQTM7XL2EWEWG7ENVWWOO53QO","download_json":"https://pith.science/pith/3XQTM7XL2EWEWG7ENVWWOO53QO.json","view_paper":"https://pith.science/paper/3XQTM7XL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1701.02674&json=true","fetch_graph":"https://pith.science/api/pith-number/3XQTM7XL2EWEWG7ENVWWOO53QO/graph.json","fetch_events":"https://pith.science/api/pith-number/3XQTM7XL2EWEWG7ENVWWOO53QO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3XQTM7XL2EWEWG7ENVWWOO53QO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3XQTM7XL2EWEWG7ENVWWOO53QO/action/storage_attestation","attest_author":"https://pith.science/pith/3XQTM7XL2EWEWG7ENVWWOO53QO/action/author_attestation","sign_citation":"https://pith.science/pith/3XQTM7XL2EWEWG7ENVWWOO53QO/action/citation_signature","submit_replication":"https://pith.science/pith/3XQTM7XL2EWEWG7ENVWWOO53QO/action/replication_record"}},"created_at":"2026-05-18T00:53:03.695873+00:00","updated_at":"2026-05-18T00:53:03.695873+00:00"}