{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:3YGH3SLVYH63DWDJCFV2FLYQNC","short_pith_number":"pith:3YGH3SLV","schema_version":"1.0","canonical_sha256":"de0c7dc975c1fdb1d869116ba2af10689ecf9bb787c1d41fe86824f6ff58cbfd","source":{"kind":"arxiv","id":"1902.11225","version":1},"attestation_state":"computed","paper":{"title":"On The Coefficient Conjecture of Clunie and Sheil-Small","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Asena \\c{C}etinkaya, Oya Mert, Ya\\c{s}ar Polato\\u{g}lu","submitted_at":"2019-02-28T17:09:42Z","abstract_excerpt":"In this paper, we first prove relation between analytic and co-analytic part of the class harmonic univalent functions S_H(S):={f = h+\\overline g|h is element of S} by means of second dilatation is constant. Next, we verify the coefficient conjecture of Clunie and Sheil-Small for class of harmonic univalent functions. Finally, we obtain distortion bounds of this class."},"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":"1902.11225","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2019-02-28T17:09:42Z","cross_cats_sorted":[],"title_canon_sha256":"09b328713cc187630b3789f0d67a07e834122f6a9d2df97447987363da896c26","abstract_canon_sha256":"6dc4be26ea203e3b9a7c037ef23bf97196396b162563bf4be3a72a065e47d0c9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:52:25.194302Z","signature_b64":"Zy+ZCirdUYsBGUqVaHdMOcDG0Mg4muU/Z0Xv9nK4h9PNjt4LNYFrWO2kZG2DjPzRUHdnl1E1QEnZcOQ3entwAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de0c7dc975c1fdb1d869116ba2af10689ecf9bb787c1d41fe86824f6ff58cbfd","last_reissued_at":"2026-05-17T23:52:25.193699Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:52:25.193699Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On The Coefficient Conjecture of Clunie and Sheil-Small","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Asena \\c{C}etinkaya, Oya Mert, Ya\\c{s}ar Polato\\u{g}lu","submitted_at":"2019-02-28T17:09:42Z","abstract_excerpt":"In this paper, we first prove relation between analytic and co-analytic part of the class harmonic univalent functions S_H(S):={f = h+\\overline g|h is element of S} by means of second dilatation is constant. Next, we verify the coefficient conjecture of Clunie and Sheil-Small for class of harmonic univalent functions. Finally, we obtain distortion bounds of this class."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.11225","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":"1902.11225","created_at":"2026-05-17T23:52:25.193788+00:00"},{"alias_kind":"arxiv_version","alias_value":"1902.11225v1","created_at":"2026-05-17T23:52:25.193788+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.11225","created_at":"2026-05-17T23:52:25.193788+00:00"},{"alias_kind":"pith_short_12","alias_value":"3YGH3SLVYH63","created_at":"2026-05-18T12:33:10.108867+00:00"},{"alias_kind":"pith_short_16","alias_value":"3YGH3SLVYH63DWDJ","created_at":"2026-05-18T12:33:10.108867+00:00"},{"alias_kind":"pith_short_8","alias_value":"3YGH3SLV","created_at":"2026-05-18T12:33:10.108867+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/3YGH3SLVYH63DWDJCFV2FLYQNC","json":"https://pith.science/pith/3YGH3SLVYH63DWDJCFV2FLYQNC.json","graph_json":"https://pith.science/api/pith-number/3YGH3SLVYH63DWDJCFV2FLYQNC/graph.json","events_json":"https://pith.science/api/pith-number/3YGH3SLVYH63DWDJCFV2FLYQNC/events.json","paper":"https://pith.science/paper/3YGH3SLV"},"agent_actions":{"view_html":"https://pith.science/pith/3YGH3SLVYH63DWDJCFV2FLYQNC","download_json":"https://pith.science/pith/3YGH3SLVYH63DWDJCFV2FLYQNC.json","view_paper":"https://pith.science/paper/3YGH3SLV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1902.11225&json=true","fetch_graph":"https://pith.science/api/pith-number/3YGH3SLVYH63DWDJCFV2FLYQNC/graph.json","fetch_events":"https://pith.science/api/pith-number/3YGH3SLVYH63DWDJCFV2FLYQNC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3YGH3SLVYH63DWDJCFV2FLYQNC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3YGH3SLVYH63DWDJCFV2FLYQNC/action/storage_attestation","attest_author":"https://pith.science/pith/3YGH3SLVYH63DWDJCFV2FLYQNC/action/author_attestation","sign_citation":"https://pith.science/pith/3YGH3SLVYH63DWDJCFV2FLYQNC/action/citation_signature","submit_replication":"https://pith.science/pith/3YGH3SLVYH63DWDJCFV2FLYQNC/action/replication_record"}},"created_at":"2026-05-17T23:52:25.193788+00:00","updated_at":"2026-05-17T23:52:25.193788+00:00"}