{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:IHV3UJTBYCDMTI4SZBSZBJ7M7M","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":"8b512680696ec08de3ff88ca6d9d6c1f23bb127b59ca1bb7f12559ece05829a2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-09-03T09:37:37Z","title_canon_sha256":"2331e39603a7da5f6e99a2ce293a17afb327594ffd1284a333d1774e219e882f"},"schema_version":"1.0","source":{"id":"1109.0609","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.0609","created_at":"2026-05-18T03:49:45Z"},{"alias_kind":"arxiv_version","alias_value":"1109.0609v1","created_at":"2026-05-18T03:49:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.0609","created_at":"2026-05-18T03:49:45Z"},{"alias_kind":"pith_short_12","alias_value":"IHV3UJTBYCDM","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"IHV3UJTBYCDMTI4S","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"IHV3UJTB","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:d1746c995f9eae2b4dcb4ab52c03fbc8b09c6941811fb3d8ebf6d7177abc9016","target":"graph","created_at":"2026-05-18T03:49:45Z","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":"For an analytic function f(z)=z+\\sum_{n=2}^\\infty a_n z^n satisfying the inequality \\sum_{n=2}^\\infty n(n-1)|a_n|\\leq \\beta, sharp bound on $\\beta$ is determined so that $f$ is either starlike or convex of order $\\alpha$. Several other coefficient inequalities related to certain subclasses are also investigated.","authors_text":"Moradi Nargesi Mahnaz, Rosihan M. Ali, V. Ravichandran","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-09-03T09:37:37Z","title":"Coefficient Inequalities for Starlikeness and Convexity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.0609","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":"sha256:4d7a8e3a6d8676bb1c115ee974427b6d3fdd736f0d2b6210dfa23b2156e04ff3","target":"record","created_at":"2026-05-18T03:49:45Z","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":"8b512680696ec08de3ff88ca6d9d6c1f23bb127b59ca1bb7f12559ece05829a2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-09-03T09:37:37Z","title_canon_sha256":"2331e39603a7da5f6e99a2ce293a17afb327594ffd1284a333d1774e219e882f"},"schema_version":"1.0","source":{"id":"1109.0609","kind":"arxiv","version":1}},"canonical_sha256":"41ebba2661c086c9a392c86590a7ecfb2288b65d030b43b8a21ff6ae55d5462f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"41ebba2661c086c9a392c86590a7ecfb2288b65d030b43b8a21ff6ae55d5462f","first_computed_at":"2026-05-18T03:49:45.806075Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:49:45.806075Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l1cciCjDxIpjM8nS4ciFXJ/eoEi1yTS5zwAO0ZPMNAl4kqfO0IEY6lfBBMvjI+qI8D0yOdujrj4NbosKHovqAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:49:45.806625Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.0609","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4d7a8e3a6d8676bb1c115ee974427b6d3fdd736f0d2b6210dfa23b2156e04ff3","sha256:d1746c995f9eae2b4dcb4ab52c03fbc8b09c6941811fb3d8ebf6d7177abc9016"],"state_sha256":"a299ab1ce55ad1766ec4f12de2c1cd4902e00adde4f4e0cd06bebfe33b4bdf3d"}