{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:E3ID7ONPAJN2ZKKRYYRX27KBAN","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":"51884ebb173ead9425b07a55f2a929b7bdc2c2eb84f35afc5e6301ad795bd903","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2009-03-06T09:12:54Z","title_canon_sha256":"afd166b4a25832e2b4a0957282e36b04bb942bea87aa90eccb37df7dd6abb19b"},"schema_version":"1.0","source":{"id":"0903.1174","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0903.1174","created_at":"2026-05-18T03:48:34Z"},{"alias_kind":"arxiv_version","alias_value":"0903.1174v1","created_at":"2026-05-18T03:48:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.1174","created_at":"2026-05-18T03:48:34Z"},{"alias_kind":"pith_short_12","alias_value":"E3ID7ONPAJN2","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"E3ID7ONPAJN2ZKKR","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"E3ID7ONP","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:48e458f3d6720fd2c2c61e997ae6caec261362d9a203bec99fdd3ead669a8c44","target":"graph","created_at":"2026-05-18T03:48:34Z","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":"In the present note, an alternative proof is supplied for Theorem~1 in [N. Elezovi\\'c, C. Giordano and J. Pe\\v{c}ari\\'c, \\textit{The best bounds in Gautschi's inequality}, Math. Inequal. Appl. \\textbf{3} (2000), 239\\nobreakdash--252.].","authors_text":"Bai-Ni Guo, Feng Qi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2009-03-06T09:12:54Z","title":"An alternative proof of Elezovi\\'c-Giordano-Pe\\v{c}ari\\'c's theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.1174","kind":"arxiv","version":1},"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":"sha256:290fe3014e2b9b867296c98cec330f632643c2d20164e68a5526a7f7067c6a4f","target":"record","created_at":"2026-05-18T03:48:34Z","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":"51884ebb173ead9425b07a55f2a929b7bdc2c2eb84f35afc5e6301ad795bd903","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2009-03-06T09:12:54Z","title_canon_sha256":"afd166b4a25832e2b4a0957282e36b04bb942bea87aa90eccb37df7dd6abb19b"},"schema_version":"1.0","source":{"id":"0903.1174","kind":"arxiv","version":1}},"canonical_sha256":"26d03fb9af025baca951c6237d7d41034ce7c6c43b051b6892c87241b341793f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"26d03fb9af025baca951c6237d7d41034ce7c6c43b051b6892c87241b341793f","first_computed_at":"2026-05-18T03:48:34.637887Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:48:34.637887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LXGAs0+Zu4rofdy81GLXeTnuJESDlMHvKxgqJ7xuO5NTHkFEHh/AQJph3c5zu17Vnou8YI5v3FA1Oxy7G4dZDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:48:34.638412Z","signed_message":"canonical_sha256_bytes"},"source_id":"0903.1174","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:290fe3014e2b9b867296c98cec330f632643c2d20164e68a5526a7f7067c6a4f","sha256:48e458f3d6720fd2c2c61e997ae6caec261362d9a203bec99fdd3ead669a8c44"],"state_sha256":"6e94cc44153a0f1f52f4bfff5a7a727d53d1229dd59b31c7aaf0b7892c9c82cc"}