{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:3YGH3SLVYH63DWDJCFV2FLYQNC","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":"6dc4be26ea203e3b9a7c037ef23bf97196396b162563bf4be3a72a065e47d0c9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2019-02-28T17:09:42Z","title_canon_sha256":"09b328713cc187630b3789f0d67a07e834122f6a9d2df97447987363da896c26"},"schema_version":"1.0","source":{"id":"1902.11225","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.11225","created_at":"2026-05-17T23:52:25Z"},{"alias_kind":"arxiv_version","alias_value":"1902.11225v1","created_at":"2026-05-17T23:52:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.11225","created_at":"2026-05-17T23:52:25Z"},{"alias_kind":"pith_short_12","alias_value":"3YGH3SLVYH63","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"3YGH3SLVYH63DWDJ","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"3YGH3SLV","created_at":"2026-05-18T12:33:10Z"}],"graph_snapshots":[{"event_id":"sha256:c6b2ed737b4c671b64d4f744222857628ad0d9133220646680206ca6f01feddf","target":"graph","created_at":"2026-05-17T23:52:25Z","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 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.","authors_text":"Asena \\c{C}etinkaya, Oya Mert, Ya\\c{s}ar Polato\\u{g}lu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2019-02-28T17:09:42Z","title":"On The Coefficient Conjecture of Clunie and Sheil-Small"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.11225","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":"sha256:5feeb1c0a8422d5e1b685f54ec75e3c5699e09e91e26e8a3a367d52d04a789c4","target":"record","created_at":"2026-05-17T23:52:25Z","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":"6dc4be26ea203e3b9a7c037ef23bf97196396b162563bf4be3a72a065e47d0c9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2019-02-28T17:09:42Z","title_canon_sha256":"09b328713cc187630b3789f0d67a07e834122f6a9d2df97447987363da896c26"},"schema_version":"1.0","source":{"id":"1902.11225","kind":"arxiv","version":1}},"canonical_sha256":"de0c7dc975c1fdb1d869116ba2af10689ecf9bb787c1d41fe86824f6ff58cbfd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"de0c7dc975c1fdb1d869116ba2af10689ecf9bb787c1d41fe86824f6ff58cbfd","first_computed_at":"2026-05-17T23:52:25.193699Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:25.193699Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Zy+ZCirdUYsBGUqVaHdMOcDG0Mg4muU/Z0Xv9nK4h9PNjt4LNYFrWO2kZG2DjPzRUHdnl1E1QEnZcOQ3entwAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:25.194302Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.11225","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5feeb1c0a8422d5e1b685f54ec75e3c5699e09e91e26e8a3a367d52d04a789c4","sha256:c6b2ed737b4c671b64d4f744222857628ad0d9133220646680206ca6f01feddf"],"state_sha256":"3fe7c539113a6a709f10cc34350000dc92281bfc3f3f8a4e356b718cb7f2d90e"}