{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:IDSGJWVTQCVMNA5ALDLWUOMBQ5","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":"3ffb0f15f5f116e4dd4da5fc18efa079d09819643abbdbd388f92c0d0aaf5667","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-03-28T09:53:21Z","title_canon_sha256":"7b8720840354c0dc8fe1853730971677266c03324aabd644b3988bc2a5dee1dd"},"schema_version":"1.0","source":{"id":"1703.09485","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.09485","created_at":"2026-05-18T00:47:44Z"},{"alias_kind":"arxiv_version","alias_value":"1703.09485v1","created_at":"2026-05-18T00:47:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.09485","created_at":"2026-05-18T00:47:44Z"},{"alias_kind":"pith_short_12","alias_value":"IDSGJWVTQCVM","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IDSGJWVTQCVMNA5A","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IDSGJWVT","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:80ab27e50577c1a25ef54a2456921e3f00f853daa5175cdc4bb42af04e92dd24","target":"graph","created_at":"2026-05-18T00:47:44Z","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 obtain the upper bounds to the third Hankel determinants for starlike functions of order $\\alpha$, convex functions of order $\\alpha$ and bounded turning functions of order $\\alpha$. Furthermore, several relevant results on a new subclass of close-to-convex harmonic mappings are obtained. Connections of the results presented here to those that can be found in the literature are also discussed.","authors_text":"Antti Rasila, Yong Sun, Zhi-Gang Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-03-28T09:53:21Z","title":"On third Hankel determinants for subclasses of analytic functions and close-to-convex harmonic mappings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.09485","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":"sha256:5cdcef0f91b86fde5202c2c6259c361f980fe06b32d61bc3bf248c6702092d34","target":"record","created_at":"2026-05-18T00:47:44Z","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":"3ffb0f15f5f116e4dd4da5fc18efa079d09819643abbdbd388f92c0d0aaf5667","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-03-28T09:53:21Z","title_canon_sha256":"7b8720840354c0dc8fe1853730971677266c03324aabd644b3988bc2a5dee1dd"},"schema_version":"1.0","source":{"id":"1703.09485","kind":"arxiv","version":1}},"canonical_sha256":"40e464dab380aac683a058d76a39818754d9360975ccadda27463ea5f1dd50fa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"40e464dab380aac683a058d76a39818754d9360975ccadda27463ea5f1dd50fa","first_computed_at":"2026-05-18T00:47:44.425980Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:47:44.425980Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M5G7/6yDNi1w90Kiv+ULfax8jwvfQlqr8EJr8pknf7q74iyvdE8KABkdumhZGk0c6ZJSGyC+EAp0s3yFce4DCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:47:44.426721Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.09485","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5cdcef0f91b86fde5202c2c6259c361f980fe06b32d61bc3bf248c6702092d34","sha256:80ab27e50577c1a25ef54a2456921e3f00f853daa5175cdc4bb42af04e92dd24"],"state_sha256":"7807ed679d1114d357b09288c574162978e754fd8f19dee88a14b67af5e18090"}