{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:RS5I5QBE4TRMVZPZBNZSN53YUY","short_pith_number":"pith:RS5I5QBE","schema_version":"1.0","canonical_sha256":"8cba8ec024e4e2cae5f90b7326f778a6168fb2a7b899e65ffd22be82d1803b66","source":{"kind":"arxiv","id":"1908.01571","version":5},"attestation_state":"computed","paper":{"title":"Euler and the Gammafunction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.HO","authors_text":"Alexander Aycock","submitted_at":"2019-08-05T12:03:46Z","abstract_excerpt":"We review Euler's idea on the Gammafunction. We will explain, how Euler obtained them and how Euler's ideas anticipate more modern approaches and theories. Furthermore, some questions asked by Euler are answered."},"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":"1908.01571","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2019-08-05T12:03:46Z","cross_cats_sorted":[],"title_canon_sha256":"b386b3c38f759f82a26e4c3b842d03f5519a2f57ab524b88131da7a90dd0b30c","abstract_canon_sha256":"d24287f9d0ac991ca79b5a3bb8fcd9bf0ad43b7369693b9e8d5beddb0145ebd0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:59:53.402905Z","signature_b64":"di+VTQPU4RH9wKSwSNvovUHuy+046lafGscwSJfDHbYw9WdNLLA0BwFzpZrxa+ypH5nKVCsOb2aAsteOnvhGBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8cba8ec024e4e2cae5f90b7326f778a6168fb2a7b899e65ffd22be82d1803b66","last_reissued_at":"2026-07-05T00:59:53.402436Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:59:53.402436Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Euler and the Gammafunction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.HO","authors_text":"Alexander Aycock","submitted_at":"2019-08-05T12:03:46Z","abstract_excerpt":"We review Euler's idea on the Gammafunction. We will explain, how Euler obtained them and how Euler's ideas anticipate more modern approaches and theories. Furthermore, some questions asked by Euler are answered."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.01571","kind":"arxiv","version":5},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.01571/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1908.01571","created_at":"2026-07-05T00:59:53.402492+00:00"},{"alias_kind":"arxiv_version","alias_value":"1908.01571v5","created_at":"2026-07-05T00:59:53.402492+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.01571","created_at":"2026-07-05T00:59:53.402492+00:00"},{"alias_kind":"pith_short_12","alias_value":"RS5I5QBE4TRM","created_at":"2026-07-05T00:59:53.402492+00:00"},{"alias_kind":"pith_short_16","alias_value":"RS5I5QBE4TRMVZPZ","created_at":"2026-07-05T00:59:53.402492+00:00"},{"alias_kind":"pith_short_8","alias_value":"RS5I5QBE","created_at":"2026-07-05T00:59:53.402492+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/RS5I5QBE4TRMVZPZBNZSN53YUY","json":"https://pith.science/pith/RS5I5QBE4TRMVZPZBNZSN53YUY.json","graph_json":"https://pith.science/api/pith-number/RS5I5QBE4TRMVZPZBNZSN53YUY/graph.json","events_json":"https://pith.science/api/pith-number/RS5I5QBE4TRMVZPZBNZSN53YUY/events.json","paper":"https://pith.science/paper/RS5I5QBE"},"agent_actions":{"view_html":"https://pith.science/pith/RS5I5QBE4TRMVZPZBNZSN53YUY","download_json":"https://pith.science/pith/RS5I5QBE4TRMVZPZBNZSN53YUY.json","view_paper":"https://pith.science/paper/RS5I5QBE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1908.01571&json=true","fetch_graph":"https://pith.science/api/pith-number/RS5I5QBE4TRMVZPZBNZSN53YUY/graph.json","fetch_events":"https://pith.science/api/pith-number/RS5I5QBE4TRMVZPZBNZSN53YUY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RS5I5QBE4TRMVZPZBNZSN53YUY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RS5I5QBE4TRMVZPZBNZSN53YUY/action/storage_attestation","attest_author":"https://pith.science/pith/RS5I5QBE4TRMVZPZBNZSN53YUY/action/author_attestation","sign_citation":"https://pith.science/pith/RS5I5QBE4TRMVZPZBNZSN53YUY/action/citation_signature","submit_replication":"https://pith.science/pith/RS5I5QBE4TRMVZPZBNZSN53YUY/action/replication_record"}},"created_at":"2026-07-05T00:59:53.402492+00:00","updated_at":"2026-07-05T00:59:53.402492+00:00"}