{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:PUV32HWLLXYUY5WEJBBD4NBAXM","short_pith_number":"pith:PUV32HWL","schema_version":"1.0","canonical_sha256":"7d2bbd1ecb5df14c76c448423e3420bb2ecd4bb1f437f25190a266c17b74b0d2","source":{"kind":"arxiv","id":"1602.00436","version":1},"attestation_state":"computed","paper":{"title":"On the Wilker and Huygens-type inequalities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"C.P Chen, R B Paris","submitted_at":"2016-02-01T09:19:15Z","abstract_excerpt":"Chen and Cheung [C.-P. Chen, W.-S. Cheung, Sharpness of Wilker and Huygens type inequalities, J. Inequal. Appl. 2012 (2012) 72, \\url{http://dx.doi.org/10.1186/1029-242X-2012-72}] established sharp Wilker and Huygens-type inequalities. These authors also proposed three conjectures on Wilker and Huygens-type inequalities. In this paper, we consider these conjectures. We also present sharp Wilker and Huygens-type inequalities."},"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":"1602.00436","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-02-01T09:19:15Z","cross_cats_sorted":[],"title_canon_sha256":"904ae6bed2ce8c164fd35e829065209f41b17a946d22dc15859e77a1679b3ec6","abstract_canon_sha256":"dd3c56bac947aa5e02f3a7573f4f39ebe6eaf11ed6db34bab119c2c83ffb561a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:35.377366Z","signature_b64":"g2I+ITsSFB6R/w2xRTSx40/pPY26ZDVYdyZKoPz8gqsXM8rFDJUKR6EiyZgMPNpHQghuLZh2+4qX/HyRNGI1AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7d2bbd1ecb5df14c76c448423e3420bb2ecd4bb1f437f25190a266c17b74b0d2","last_reissued_at":"2026-05-18T01:21:35.376675Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:35.376675Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Wilker and Huygens-type inequalities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"C.P Chen, R B Paris","submitted_at":"2016-02-01T09:19:15Z","abstract_excerpt":"Chen and Cheung [C.-P. Chen, W.-S. Cheung, Sharpness of Wilker and Huygens type inequalities, J. Inequal. Appl. 2012 (2012) 72, \\url{http://dx.doi.org/10.1186/1029-242X-2012-72}] established sharp Wilker and Huygens-type inequalities. These authors also proposed three conjectures on Wilker and Huygens-type inequalities. In this paper, we consider these conjectures. We also present sharp Wilker and Huygens-type inequalities."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.00436","kind":"arxiv","version":1},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1602.00436","created_at":"2026-05-18T01:21:35.376790+00:00"},{"alias_kind":"arxiv_version","alias_value":"1602.00436v1","created_at":"2026-05-18T01:21:35.376790+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.00436","created_at":"2026-05-18T01:21:35.376790+00:00"},{"alias_kind":"pith_short_12","alias_value":"PUV32HWLLXYU","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_16","alias_value":"PUV32HWLLXYUY5WE","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_8","alias_value":"PUV32HWL","created_at":"2026-05-18T12:30:39.010887+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/PUV32HWLLXYUY5WEJBBD4NBAXM","json":"https://pith.science/pith/PUV32HWLLXYUY5WEJBBD4NBAXM.json","graph_json":"https://pith.science/api/pith-number/PUV32HWLLXYUY5WEJBBD4NBAXM/graph.json","events_json":"https://pith.science/api/pith-number/PUV32HWLLXYUY5WEJBBD4NBAXM/events.json","paper":"https://pith.science/paper/PUV32HWL"},"agent_actions":{"view_html":"https://pith.science/pith/PUV32HWLLXYUY5WEJBBD4NBAXM","download_json":"https://pith.science/pith/PUV32HWLLXYUY5WEJBBD4NBAXM.json","view_paper":"https://pith.science/paper/PUV32HWL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1602.00436&json=true","fetch_graph":"https://pith.science/api/pith-number/PUV32HWLLXYUY5WEJBBD4NBAXM/graph.json","fetch_events":"https://pith.science/api/pith-number/PUV32HWLLXYUY5WEJBBD4NBAXM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PUV32HWLLXYUY5WEJBBD4NBAXM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PUV32HWLLXYUY5WEJBBD4NBAXM/action/storage_attestation","attest_author":"https://pith.science/pith/PUV32HWLLXYUY5WEJBBD4NBAXM/action/author_attestation","sign_citation":"https://pith.science/pith/PUV32HWLLXYUY5WEJBBD4NBAXM/action/citation_signature","submit_replication":"https://pith.science/pith/PUV32HWLLXYUY5WEJBBD4NBAXM/action/replication_record"}},"created_at":"2026-05-18T01:21:35.376790+00:00","updated_at":"2026-05-18T01:21:35.376790+00:00"}