{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:65FJXTVMYUTAJB37WO7V3QLLEJ","short_pith_number":"pith:65FJXTVM","canonical_record":{"source":{"id":"1305.0938","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-05-04T17:14:46Z","cross_cats_sorted":[],"title_canon_sha256":"f3b1d9f3b8e1c4d9f38208833caf0f6e57048ca24e5cfd5734e87655249cc133","abstract_canon_sha256":"977a5f877c95467ae42cf70b939aa180191b9b60a94cb260dc5ac187df2af55a"},"schema_version":"1.0"},"canonical_sha256":"f74a9bceacc52604877fb3bf5dc16b226297145ef88a3064a22453ff433efa5c","source":{"kind":"arxiv","id":"1305.0938","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.0938","created_at":"2026-05-18T00:40:24Z"},{"alias_kind":"arxiv_version","alias_value":"1305.0938v2","created_at":"2026-05-18T00:40:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.0938","created_at":"2026-05-18T00:40:24Z"},{"alias_kind":"pith_short_12","alias_value":"65FJXTVMYUTA","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"65FJXTVMYUTAJB37","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"65FJXTVM","created_at":"2026-05-18T12:27:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:65FJXTVMYUTAJB37WO7V3QLLEJ","target":"record","payload":{"canonical_record":{"source":{"id":"1305.0938","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-05-04T17:14:46Z","cross_cats_sorted":[],"title_canon_sha256":"f3b1d9f3b8e1c4d9f38208833caf0f6e57048ca24e5cfd5734e87655249cc133","abstract_canon_sha256":"977a5f877c95467ae42cf70b939aa180191b9b60a94cb260dc5ac187df2af55a"},"schema_version":"1.0"},"canonical_sha256":"f74a9bceacc52604877fb3bf5dc16b226297145ef88a3064a22453ff433efa5c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:24.711482Z","signature_b64":"hF2zQ8V9mZhDQAULrEEcjTHCEDGUmiliETwCCq40whnomLyoLzTevC5oUAbSdrza9DBvbCSBxn2Su8TyWd38Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f74a9bceacc52604877fb3bf5dc16b226297145ef88a3064a22453ff433efa5c","last_reissued_at":"2026-05-18T00:40:24.710989Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:24.710989Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.0938","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:40:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pk3MQlNi9JhpURXBIR28/mEMVUIEuM+gItjM+OWRuPFyEMVzidK2WHo+ohZta1+QVIQVxjMU8OYBM8pkkevaAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T11:49:13.276035Z"},"content_sha256":"90808a1e8fb342e8a2b41985ced5a363bc04f5d9dc49164ba3d3488cb2c3420a","schema_version":"1.0","event_id":"sha256:90808a1e8fb342e8a2b41985ced5a363bc04f5d9dc49164ba3d3488cb2c3420a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:65FJXTVMYUTAJB37WO7V3QLLEJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tur\\'an type inequalities for generalized inverse trigonometric functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"\\'Arp\\'ad Baricz, Barkat Ali Bhayo, Matti Vuorinen","submitted_at":"2013-05-04T17:14:46Z","abstract_excerpt":"In this paper we study the inverse of the eigenfunction $\\sin_p$ of the one-dimensional $p$-Laplace operator and its dependence on the parameter $p$, and we present a Tur\\'an type inequality for this function. Similar inequalities are given also for other generalized inverse trigonometric and hyperbolic functions. In particular, we deduce a Tur\\'an type inequality for a series considered by Ramanujan, involving the digamma function."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.0938","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:40:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CHABgeerlo9EP+xl3Blf0OD+GkO+wKX/HiBYnDkEAQdvnQ5y13tmqrSMw81QbXcMHtZ6bE6FNLYqT+K6bURyCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T11:49:13.276405Z"},"content_sha256":"42f7e3b24c311977842ed1e33374ca5149e5de557a545aea9de20f050853902e","schema_version":"1.0","event_id":"sha256:42f7e3b24c311977842ed1e33374ca5149e5de557a545aea9de20f050853902e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/65FJXTVMYUTAJB37WO7V3QLLEJ/bundle.json","state_url":"https://pith.science/pith/65FJXTVMYUTAJB37WO7V3QLLEJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/65FJXTVMYUTAJB37WO7V3QLLEJ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-21T11:49:13Z","links":{"resolver":"https://pith.science/pith/65FJXTVMYUTAJB37WO7V3QLLEJ","bundle":"https://pith.science/pith/65FJXTVMYUTAJB37WO7V3QLLEJ/bundle.json","state":"https://pith.science/pith/65FJXTVMYUTAJB37WO7V3QLLEJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/65FJXTVMYUTAJB37WO7V3QLLEJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:65FJXTVMYUTAJB37WO7V3QLLEJ","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":"977a5f877c95467ae42cf70b939aa180191b9b60a94cb260dc5ac187df2af55a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-05-04T17:14:46Z","title_canon_sha256":"f3b1d9f3b8e1c4d9f38208833caf0f6e57048ca24e5cfd5734e87655249cc133"},"schema_version":"1.0","source":{"id":"1305.0938","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.0938","created_at":"2026-05-18T00:40:24Z"},{"alias_kind":"arxiv_version","alias_value":"1305.0938v2","created_at":"2026-05-18T00:40:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.0938","created_at":"2026-05-18T00:40:24Z"},{"alias_kind":"pith_short_12","alias_value":"65FJXTVMYUTA","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"65FJXTVMYUTAJB37","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"65FJXTVM","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:42f7e3b24c311977842ed1e33374ca5149e5de557a545aea9de20f050853902e","target":"graph","created_at":"2026-05-18T00:40:24Z","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 study the inverse of the eigenfunction $\\sin_p$ of the one-dimensional $p$-Laplace operator and its dependence on the parameter $p$, and we present a Tur\\'an type inequality for this function. Similar inequalities are given also for other generalized inverse trigonometric and hyperbolic functions. In particular, we deduce a Tur\\'an type inequality for a series considered by Ramanujan, involving the digamma function.","authors_text":"\\'Arp\\'ad Baricz, Barkat Ali Bhayo, Matti Vuorinen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-05-04T17:14:46Z","title":"Tur\\'an type inequalities for generalized inverse trigonometric functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.0938","kind":"arxiv","version":2},"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":"sha256:90808a1e8fb342e8a2b41985ced5a363bc04f5d9dc49164ba3d3488cb2c3420a","target":"record","created_at":"2026-05-18T00:40:24Z","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":"977a5f877c95467ae42cf70b939aa180191b9b60a94cb260dc5ac187df2af55a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-05-04T17:14:46Z","title_canon_sha256":"f3b1d9f3b8e1c4d9f38208833caf0f6e57048ca24e5cfd5734e87655249cc133"},"schema_version":"1.0","source":{"id":"1305.0938","kind":"arxiv","version":2}},"canonical_sha256":"f74a9bceacc52604877fb3bf5dc16b226297145ef88a3064a22453ff433efa5c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f74a9bceacc52604877fb3bf5dc16b226297145ef88a3064a22453ff433efa5c","first_computed_at":"2026-05-18T00:40:24.710989Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:24.710989Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hF2zQ8V9mZhDQAULrEEcjTHCEDGUmiliETwCCq40whnomLyoLzTevC5oUAbSdrza9DBvbCSBxn2Su8TyWd38Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:24.711482Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.0938","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:90808a1e8fb342e8a2b41985ced5a363bc04f5d9dc49164ba3d3488cb2c3420a","sha256:42f7e3b24c311977842ed1e33374ca5149e5de557a545aea9de20f050853902e"],"state_sha256":"d23e17cae7a2ea618cc278b9fbaab2d8964cb912a5cabac5b85f426169764aff"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9eC06QsakNcatsM6L+T2hUK6ziLyQh2FfMgfmEe9iWrfpqC5y3PVeWcOkvlv8M1PhgY4CTsR4YPBc48x1/UlBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T11:49:13.278350Z","bundle_sha256":"f23175d9cb7d3ef813fd7b6b905b3860de5df05daec96c75546b3dc03ecddad6"}}