{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:ERXK6QMOZTQODB6Y6LYJ75OS5A","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":"ae5e21b9e801f0cf741ce7ce7ea307be7f7be06f953c005ab01e60bc78cc2d53","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-05-28T13:30:01Z","title_canon_sha256":"9eb08d1e62000dd59a42c97a9b3d1f335d4e688236dcea8ca66c92a9d9e38d00"},"schema_version":"1.0","source":{"id":"1905.11802","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.11802","created_at":"2026-05-17T23:44:52Z"},{"alias_kind":"arxiv_version","alias_value":"1905.11802v1","created_at":"2026-05-17T23:44:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.11802","created_at":"2026-05-17T23:44:52Z"},{"alias_kind":"pith_short_12","alias_value":"ERXK6QMOZTQO","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"ERXK6QMOZTQODB6Y","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"ERXK6QMO","created_at":"2026-05-18T12:33:15Z"}],"graph_snapshots":[{"event_id":"sha256:81a9e18153df2dd98c0c282b22deb7240032ace5678ac38d5abd6c4bf74a72d0","target":"graph","created_at":"2026-05-17T23:44:52Z","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 this paper, we investigate the monotonicity and inequalities for some functions involving the arc lemniscate and the hyperbolic arc lemniscate functions. In particular, sharp Shafer-Fink type inequalities for the arc lemniscate and the hyperbolic arc lemniscate functions are proved.","authors_text":"Gendi Wang, Minjie Wei, Yue He","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-05-28T13:30:01Z","title":"Shafer-Fink type inequalities for arc lemniscate functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.11802","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:c986cf56de5190d6c16f596516d5c022902b25b32c9b49de41d8a46e83618838","target":"record","created_at":"2026-05-17T23:44:52Z","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":"ae5e21b9e801f0cf741ce7ce7ea307be7f7be06f953c005ab01e60bc78cc2d53","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-05-28T13:30:01Z","title_canon_sha256":"9eb08d1e62000dd59a42c97a9b3d1f335d4e688236dcea8ca66c92a9d9e38d00"},"schema_version":"1.0","source":{"id":"1905.11802","kind":"arxiv","version":1}},"canonical_sha256":"246eaf418ecce0e187d8f2f09ff5d2e81184280e2464c32901c12928aa120976","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"246eaf418ecce0e187d8f2f09ff5d2e81184280e2464c32901c12928aa120976","first_computed_at":"2026-05-17T23:44:52.221740Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:52.221740Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zu2Sji2/F7Zqi1DFWG/milxI12605JHj3swaKcf/rRidPNgIC3N+xF8njUTSDUvGtmk13C6Rj0XH6Civ3b8LAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:52.222416Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.11802","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c986cf56de5190d6c16f596516d5c022902b25b32c9b49de41d8a46e83618838","sha256:81a9e18153df2dd98c0c282b22deb7240032ace5678ac38d5abd6c4bf74a72d0"],"state_sha256":"094002a621f0cfd97c27750ebef6f368b618e739bf220f73b6c95fd1698295c3"}