{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:T24SXM746IJ2NGVOGXVK3YT2DS","short_pith_number":"pith:T24SXM74","schema_version":"1.0","canonical_sha256":"9eb92bb3fcf213a69aae35eaade27a1c8c3b55216a83bfb88fa2c08c7eac96f6","source":{"kind":"arxiv","id":"1010.5609","version":2},"attestation_state":"computed","paper":{"title":"Coefficient estimates for close-to-convex functions with argument $\\beta$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Li-Mei Wang","submitted_at":"2010-10-27T08:57:27Z","abstract_excerpt":"This paper deals with coefficient estimates for close-to-convex functions with argument $\\beta$ ($-\\pi/2<\\beta<\\pi/2$). By using Herglotz representation formula, sharp bounds of coefficients are obtained. In particluar, we solve the problem posed by A. W. Goodman and E. B. Saff in $\\cite{GS}$. Finally some complicted computations yield the explicit estimate of the third coefficient."},"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":"1010.5609","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2010-10-27T08:57:27Z","cross_cats_sorted":[],"title_canon_sha256":"02d12fe83c0b758f468762e279f3f6278165cc3c925b798aaebfb19ef4b284f5","abstract_canon_sha256":"ba8a73a001e7c94d1df25d5518f200321b6af54385dd1df6237062da5a61a459"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:00:37.642051Z","signature_b64":"X0UIU1NPo8XkJToniNrQVmeKJaYVuZNIMggA8No20GQwFpNItxMD5lckGNVwVCzpXb+54K4TOzzs1J4xutP4BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9eb92bb3fcf213a69aae35eaade27a1c8c3b55216a83bfb88fa2c08c7eac96f6","last_reissued_at":"2026-05-18T03:00:37.641341Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:00:37.641341Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Coefficient estimates for close-to-convex functions with argument $\\beta$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Li-Mei Wang","submitted_at":"2010-10-27T08:57:27Z","abstract_excerpt":"This paper deals with coefficient estimates for close-to-convex functions with argument $\\beta$ ($-\\pi/2<\\beta<\\pi/2$). By using Herglotz representation formula, sharp bounds of coefficients are obtained. In particluar, we solve the problem posed by A. W. Goodman and E. B. Saff in $\\cite{GS}$. Finally some complicted computations yield the explicit estimate of the third coefficient."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.5609","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1010.5609","created_at":"2026-05-18T03:00:37.641460+00:00"},{"alias_kind":"arxiv_version","alias_value":"1010.5609v2","created_at":"2026-05-18T03:00:37.641460+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.5609","created_at":"2026-05-18T03:00:37.641460+00:00"},{"alias_kind":"pith_short_12","alias_value":"T24SXM746IJ2","created_at":"2026-05-18T12:26:13.927090+00:00"},{"alias_kind":"pith_short_16","alias_value":"T24SXM746IJ2NGVO","created_at":"2026-05-18T12:26:13.927090+00:00"},{"alias_kind":"pith_short_8","alias_value":"T24SXM74","created_at":"2026-05-18T12:26:13.927090+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/T24SXM746IJ2NGVOGXVK3YT2DS","json":"https://pith.science/pith/T24SXM746IJ2NGVOGXVK3YT2DS.json","graph_json":"https://pith.science/api/pith-number/T24SXM746IJ2NGVOGXVK3YT2DS/graph.json","events_json":"https://pith.science/api/pith-number/T24SXM746IJ2NGVOGXVK3YT2DS/events.json","paper":"https://pith.science/paper/T24SXM74"},"agent_actions":{"view_html":"https://pith.science/pith/T24SXM746IJ2NGVOGXVK3YT2DS","download_json":"https://pith.science/pith/T24SXM746IJ2NGVOGXVK3YT2DS.json","view_paper":"https://pith.science/paper/T24SXM74","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1010.5609&json=true","fetch_graph":"https://pith.science/api/pith-number/T24SXM746IJ2NGVOGXVK3YT2DS/graph.json","fetch_events":"https://pith.science/api/pith-number/T24SXM746IJ2NGVOGXVK3YT2DS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/T24SXM746IJ2NGVOGXVK3YT2DS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/T24SXM746IJ2NGVOGXVK3YT2DS/action/storage_attestation","attest_author":"https://pith.science/pith/T24SXM746IJ2NGVOGXVK3YT2DS/action/author_attestation","sign_citation":"https://pith.science/pith/T24SXM746IJ2NGVOGXVK3YT2DS/action/citation_signature","submit_replication":"https://pith.science/pith/T24SXM746IJ2NGVOGXVK3YT2DS/action/replication_record"}},"created_at":"2026-05-18T03:00:37.641460+00:00","updated_at":"2026-05-18T03:00:37.641460+00:00"}