{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:6UVVZED53F34WV3BSN7XK7ZGQH","short_pith_number":"pith:6UVVZED5","schema_version":"1.0","canonical_sha256":"f52b5c907dd977cb5761937f757f2681c5ad8f3c5bc2a1f7b6b98a491832e450","source":{"kind":"arxiv","id":"1511.09192","version":1},"attestation_state":"computed","paper":{"title":"Counting Points on Dwork Hypersurfaces and $p$-adic Gamma Function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Hasanur Rahman, Neelam Saikia, Rupam Barman","submitted_at":"2015-11-30T08:03:43Z","abstract_excerpt":"We express the number of points on the Dwork hypersurface $$X_{\\lambda}^d: x_1^d+x_2^d+\\cdots +x_d^d=d\\lambda x_1x_2\\cdots x_d$$ over a finite field of order $q \\not \\equiv 1 \\pmod{d}$ in terms of McCarthy's $p$-adic hypergeometric function for any odd prime $d$."},"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":"1511.09192","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-11-30T08:03:43Z","cross_cats_sorted":[],"title_canon_sha256":"7ae36d13f02d71bc13ca6e56a318a72c7d399a47c05f9a144f05ddbf796ac494","abstract_canon_sha256":"e90ef249c91796e5bc352ca617ccc736ccdcc5f01a4b47bf15b7a9649958388f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:13.503707Z","signature_b64":"dzVnxkGNzstdfh1XN0wF6ZYPa9ZEoHjgg5LD16D7IqVZUkgwFyZP1xvsk/ZgSACt8s5O5yZxr+clrZnwvK2DAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f52b5c907dd977cb5761937f757f2681c5ad8f3c5bc2a1f7b6b98a491832e450","last_reissued_at":"2026-05-17T23:53:13.503041Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:13.503041Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Counting Points on Dwork Hypersurfaces and $p$-adic Gamma Function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Hasanur Rahman, Neelam Saikia, Rupam Barman","submitted_at":"2015-11-30T08:03:43Z","abstract_excerpt":"We express the number of points on the Dwork hypersurface $$X_{\\lambda}^d: x_1^d+x_2^d+\\cdots +x_d^d=d\\lambda x_1x_2\\cdots x_d$$ over a finite field of order $q \\not \\equiv 1 \\pmod{d}$ in terms of McCarthy's $p$-adic hypergeometric function for any odd prime $d$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.09192","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":"1511.09192","created_at":"2026-05-17T23:53:13.503141+00:00"},{"alias_kind":"arxiv_version","alias_value":"1511.09192v1","created_at":"2026-05-17T23:53:13.503141+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.09192","created_at":"2026-05-17T23:53:13.503141+00:00"},{"alias_kind":"pith_short_12","alias_value":"6UVVZED53F34","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_16","alias_value":"6UVVZED53F34WV3B","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_8","alias_value":"6UVVZED5","created_at":"2026-05-18T12:29:07.941421+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/6UVVZED53F34WV3BSN7XK7ZGQH","json":"https://pith.science/pith/6UVVZED53F34WV3BSN7XK7ZGQH.json","graph_json":"https://pith.science/api/pith-number/6UVVZED53F34WV3BSN7XK7ZGQH/graph.json","events_json":"https://pith.science/api/pith-number/6UVVZED53F34WV3BSN7XK7ZGQH/events.json","paper":"https://pith.science/paper/6UVVZED5"},"agent_actions":{"view_html":"https://pith.science/pith/6UVVZED53F34WV3BSN7XK7ZGQH","download_json":"https://pith.science/pith/6UVVZED53F34WV3BSN7XK7ZGQH.json","view_paper":"https://pith.science/paper/6UVVZED5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1511.09192&json=true","fetch_graph":"https://pith.science/api/pith-number/6UVVZED53F34WV3BSN7XK7ZGQH/graph.json","fetch_events":"https://pith.science/api/pith-number/6UVVZED53F34WV3BSN7XK7ZGQH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6UVVZED53F34WV3BSN7XK7ZGQH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6UVVZED53F34WV3BSN7XK7ZGQH/action/storage_attestation","attest_author":"https://pith.science/pith/6UVVZED53F34WV3BSN7XK7ZGQH/action/author_attestation","sign_citation":"https://pith.science/pith/6UVVZED53F34WV3BSN7XK7ZGQH/action/citation_signature","submit_replication":"https://pith.science/pith/6UVVZED53F34WV3BSN7XK7ZGQH/action/replication_record"}},"created_at":"2026-05-17T23:53:13.503141+00:00","updated_at":"2026-05-17T23:53:13.503141+00:00"}