{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:CYOAXFEF4NEM6MRIO3MU4DSEG4","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"6c99a647a5c55b0beef238af1767bdf9985254269cb807f3c4324e1fc1e6c215","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2010-03-31T11:12:34Z","title_canon_sha256":"4d293b105f4105ef61d8d2a3cd8f73632b750f7ca9910ab05376b201755eba43"},"schema_version":"1.0","source":{"id":"1003.6020","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.6020","created_at":"2026-05-18T04:11:28Z"},{"alias_kind":"arxiv_version","alias_value":"1003.6020v3","created_at":"2026-05-18T04:11:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.6020","created_at":"2026-05-18T04:11:28Z"},{"alias_kind":"pith_short_12","alias_value":"CYOAXFEF4NEM","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"CYOAXFEF4NEM6MRI","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"CYOAXFEF","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:2b7ea1abc0761723cb305fbe737976aae11535d19ed2c44cb5f213176561e40d","target":"graph","created_at":"2026-05-18T04:11:28Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"A series transformation idea inspired by a formula of R. W. Gosper and some asymptotic expansions for the central binomial coefficients leads us to new accurate approximations for the Gamma function.","authors_text":"Gerg\\H{o} Nemes","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2010-03-31T11:12:34Z","title":"More accurate approximations for the Gamma function"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.6020","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:72ddc3b7a112a1fd8c3c645e18fc61d81fb6b6fb50055cc08604f9a0a3250ef2","target":"record","created_at":"2026-05-18T04:11:28Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"6c99a647a5c55b0beef238af1767bdf9985254269cb807f3c4324e1fc1e6c215","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2010-03-31T11:12:34Z","title_canon_sha256":"4d293b105f4105ef61d8d2a3cd8f73632b750f7ca9910ab05376b201755eba43"},"schema_version":"1.0","source":{"id":"1003.6020","kind":"arxiv","version":3}},"canonical_sha256":"161c0b9485e348cf322876d94e0e443732df19efc60a28566f93123668889d9c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"161c0b9485e348cf322876d94e0e443732df19efc60a28566f93123668889d9c","first_computed_at":"2026-05-18T04:11:28.996465Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:11:28.996465Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pKox8mu99OucZjYhZ9TcUhTw4jFpVlbQXnFKiPR0/oIRpRsz+klK9NIK383sgvTM5zLTKL4wcJTWJnzX7wnKCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:11:28.996967Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.6020","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:72ddc3b7a112a1fd8c3c645e18fc61d81fb6b6fb50055cc08604f9a0a3250ef2","sha256:2b7ea1abc0761723cb305fbe737976aae11535d19ed2c44cb5f213176561e40d"],"state_sha256":"00b067d99c4e8f30824610e11a647e51acd75ca7a8e6ff125112734cd0bedd2e"}