{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:PKHFSI3PLLMHCBFDW67OCJBFJD","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":"85f701b9765a63170f318701a2bbe2401e2845cbc01bfe0d78ec77e7e0115e9a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-03-03T14:19:35Z","title_canon_sha256":"08f55d49f8cd7a33ee02b8e5563475bc38c14ec4120a9c83d9e016734c73a010"},"schema_version":"1.0","source":{"id":"1303.0501","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.0501","created_at":"2026-05-18T03:31:55Z"},{"alias_kind":"arxiv_version","alias_value":"1303.0501v1","created_at":"2026-05-18T03:31:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.0501","created_at":"2026-05-18T03:31:55Z"},{"alias_kind":"pith_short_12","alias_value":"PKHFSI3PLLMH","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"PKHFSI3PLLMHCBFD","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"PKHFSI3P","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:dd7c5ab9ae1727efc1783006e556c52c4cf6659f60b6b73c94657abd20b980fa","target":"graph","created_at":"2026-05-18T03:31:55Z","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":"There are many results for sufficient conditions of functions f(z) which are analytic in the open unit disc U to be starlike and convex in U. The object of the present paper is to derive some interesting sufficient conditions for f(z) to be starlike of order \\alpha\\ and convex of order \\alpha\\ in U concerned with Jack's lemma. Some examples for our results are also considered with the help of Mathematica 5.2.","authors_text":"Hitoshi Shiraishi, Shigeyoshi Owa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-03-03T14:19:35Z","title":"Starlikeness and convexity for analytic functions concerned with Jack's lemma"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.0501","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:f574fa3f1dc0fc3823b0d5582aaca00854bd920c868e54cb30f7c08a0912958a","target":"record","created_at":"2026-05-18T03:31:55Z","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":"85f701b9765a63170f318701a2bbe2401e2845cbc01bfe0d78ec77e7e0115e9a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-03-03T14:19:35Z","title_canon_sha256":"08f55d49f8cd7a33ee02b8e5563475bc38c14ec4120a9c83d9e016734c73a010"},"schema_version":"1.0","source":{"id":"1303.0501","kind":"arxiv","version":1}},"canonical_sha256":"7a8e59236f5ad87104a3b7bee1242548f9f8d7c0757fd47009ff2ff408b82b53","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7a8e59236f5ad87104a3b7bee1242548f9f8d7c0757fd47009ff2ff408b82b53","first_computed_at":"2026-05-18T03:31:55.751275Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:31:55.751275Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d4eidYoCrj6xY7R9czlSkG5YJjQk6lWGVPAefGtsHRw8L/q4fK2pOszcFzw2KPkWX9T352UDWDmj5SztIzHgCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:31:55.752028Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.0501","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f574fa3f1dc0fc3823b0d5582aaca00854bd920c868e54cb30f7c08a0912958a","sha256:dd7c5ab9ae1727efc1783006e556c52c4cf6659f60b6b73c94657abd20b980fa"],"state_sha256":"08b8786f12251ebb458f3796a5a70f623a77feec0bc2578a6473c80c1f00cc05"}