{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:S5T7QHM2J2QVPF4RIBJCAEN6XJ","short_pith_number":"pith:S5T7QHM2","schema_version":"1.0","canonical_sha256":"9767f81d9a4ea157979140522011beba7a20921ffb222295ab5b84e71bbaaa94","source":{"kind":"arxiv","id":"1703.05349","version":1},"attestation_state":"computed","paper":{"title":"Gamma and Factorial in the Monthly","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.HO","authors_text":"Jonathan M. Borwein, Robert M. Corless","submitted_at":"2017-03-15T18:52:31Z","abstract_excerpt":"The Monthly has published roughly fifty papers on the $\\Gamma$ function or Stirling's formula. We survey those papers (discussing only our favourites in any detail) and place them in the context of the larger mathematical literature on $\\Gamma$."},"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":"1703.05349","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2017-03-15T18:52:31Z","cross_cats_sorted":[],"title_canon_sha256":"7ff7fd7e8b374ea9954671b3dd18930cc2c245b624c31ddfc5eb253bb010640e","abstract_canon_sha256":"2bd62f4ddf40c1836fcb1ff42fcd4293c7ac65ebe558416b059a384e8dff881d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:34.533282Z","signature_b64":"kVCk1tvq8TF1IwzAJHcsw2P21ImJj/rH/N7lEy2t9jPePqXmArgn38hu9ThtdodPenyZBW+jEv9blw+Xe1neCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9767f81d9a4ea157979140522011beba7a20921ffb222295ab5b84e71bbaaa94","last_reissued_at":"2026-05-18T00:48:34.532749Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:34.532749Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gamma and Factorial in the Monthly","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.HO","authors_text":"Jonathan M. Borwein, Robert M. Corless","submitted_at":"2017-03-15T18:52:31Z","abstract_excerpt":"The Monthly has published roughly fifty papers on the $\\Gamma$ function or Stirling's formula. We survey those papers (discussing only our favourites in any detail) and place them in the context of the larger mathematical literature on $\\Gamma$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.05349","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":"1703.05349","created_at":"2026-05-18T00:48:34.532824+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.05349v1","created_at":"2026-05-18T00:48:34.532824+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.05349","created_at":"2026-05-18T00:48:34.532824+00:00"},{"alias_kind":"pith_short_12","alias_value":"S5T7QHM2J2QV","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_16","alias_value":"S5T7QHM2J2QVPF4R","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_8","alias_value":"S5T7QHM2","created_at":"2026-05-18T12:31:43.269735+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/S5T7QHM2J2QVPF4RIBJCAEN6XJ","json":"https://pith.science/pith/S5T7QHM2J2QVPF4RIBJCAEN6XJ.json","graph_json":"https://pith.science/api/pith-number/S5T7QHM2J2QVPF4RIBJCAEN6XJ/graph.json","events_json":"https://pith.science/api/pith-number/S5T7QHM2J2QVPF4RIBJCAEN6XJ/events.json","paper":"https://pith.science/paper/S5T7QHM2"},"agent_actions":{"view_html":"https://pith.science/pith/S5T7QHM2J2QVPF4RIBJCAEN6XJ","download_json":"https://pith.science/pith/S5T7QHM2J2QVPF4RIBJCAEN6XJ.json","view_paper":"https://pith.science/paper/S5T7QHM2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.05349&json=true","fetch_graph":"https://pith.science/api/pith-number/S5T7QHM2J2QVPF4RIBJCAEN6XJ/graph.json","fetch_events":"https://pith.science/api/pith-number/S5T7QHM2J2QVPF4RIBJCAEN6XJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/S5T7QHM2J2QVPF4RIBJCAEN6XJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/S5T7QHM2J2QVPF4RIBJCAEN6XJ/action/storage_attestation","attest_author":"https://pith.science/pith/S5T7QHM2J2QVPF4RIBJCAEN6XJ/action/author_attestation","sign_citation":"https://pith.science/pith/S5T7QHM2J2QVPF4RIBJCAEN6XJ/action/citation_signature","submit_replication":"https://pith.science/pith/S5T7QHM2J2QVPF4RIBJCAEN6XJ/action/replication_record"}},"created_at":"2026-05-18T00:48:34.532824+00:00","updated_at":"2026-05-18T00:48:34.532824+00:00"}