{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:F7PL7CEK553M4VDT7V2H7BZKD2","short_pith_number":"pith:F7PL7CEK","schema_version":"1.0","canonical_sha256":"2fdebf888aef76ce5473fd747f872a1e88fb90229e1a4bb5f8a63ba8a99b986d","source":{"kind":"arxiv","id":"math/0505202","version":1},"attestation_state":"computed","paper":{"title":"On Powers of a Hypergeometric Function","license":"","headline":"","cross_cats":["math-ph","math.CV","math.MP"],"primary_cat":"math.CA","authors_text":"Michael Milgram","submitted_at":"2005-05-11T02:38:01Z","abstract_excerpt":"A new expansion for integral powers of the hypergeometric function corresponding to a special case of the incomplete beta function is summarized, and consequences, including two new sums involving digamma (psi) functions are presented."},"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":"math/0505202","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.CA","submitted_at":"2005-05-11T02:38:01Z","cross_cats_sorted":["math-ph","math.CV","math.MP"],"title_canon_sha256":"6ba304e9c521ccf21fdb460f605a167eb81b59c2a29fe85bc72eea187fe0ab93","abstract_canon_sha256":"72abc077e123e03a835415d03bd4244c696da460c52e068ce94492345d5d6816"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:25:14.921934Z","signature_b64":"gi9qjtvbg4vW9fx7caspQgIdeTMILj3KsgB2OUG70I7wYHeSTqmoXVKYfXsRUjkDvpLnZAJ/F0a3qyvkWSBeAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2fdebf888aef76ce5473fd747f872a1e88fb90229e1a4bb5f8a63ba8a99b986d","last_reissued_at":"2026-05-18T03:25:14.921306Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:25:14.921306Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Powers of a Hypergeometric Function","license":"","headline":"","cross_cats":["math-ph","math.CV","math.MP"],"primary_cat":"math.CA","authors_text":"Michael Milgram","submitted_at":"2005-05-11T02:38:01Z","abstract_excerpt":"A new expansion for integral powers of the hypergeometric function corresponding to a special case of the incomplete beta function is summarized, and consequences, including two new sums involving digamma (psi) functions are presented."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0505202","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":"math/0505202","created_at":"2026-05-18T03:25:14.921440+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0505202v1","created_at":"2026-05-18T03:25:14.921440+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0505202","created_at":"2026-05-18T03:25:14.921440+00:00"},{"alias_kind":"pith_short_12","alias_value":"F7PL7CEK553M","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_16","alias_value":"F7PL7CEK553M4VDT","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_8","alias_value":"F7PL7CEK","created_at":"2026-05-18T12:25:53.335082+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/F7PL7CEK553M4VDT7V2H7BZKD2","json":"https://pith.science/pith/F7PL7CEK553M4VDT7V2H7BZKD2.json","graph_json":"https://pith.science/api/pith-number/F7PL7CEK553M4VDT7V2H7BZKD2/graph.json","events_json":"https://pith.science/api/pith-number/F7PL7CEK553M4VDT7V2H7BZKD2/events.json","paper":"https://pith.science/paper/F7PL7CEK"},"agent_actions":{"view_html":"https://pith.science/pith/F7PL7CEK553M4VDT7V2H7BZKD2","download_json":"https://pith.science/pith/F7PL7CEK553M4VDT7V2H7BZKD2.json","view_paper":"https://pith.science/paper/F7PL7CEK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0505202&json=true","fetch_graph":"https://pith.science/api/pith-number/F7PL7CEK553M4VDT7V2H7BZKD2/graph.json","fetch_events":"https://pith.science/api/pith-number/F7PL7CEK553M4VDT7V2H7BZKD2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/F7PL7CEK553M4VDT7V2H7BZKD2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/F7PL7CEK553M4VDT7V2H7BZKD2/action/storage_attestation","attest_author":"https://pith.science/pith/F7PL7CEK553M4VDT7V2H7BZKD2/action/author_attestation","sign_citation":"https://pith.science/pith/F7PL7CEK553M4VDT7V2H7BZKD2/action/citation_signature","submit_replication":"https://pith.science/pith/F7PL7CEK553M4VDT7V2H7BZKD2/action/replication_record"}},"created_at":"2026-05-18T03:25:14.921440+00:00","updated_at":"2026-05-18T03:25:14.921440+00:00"}