{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:UY2FLTWS46FKOKOBUJTT6NHCMV","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":"68780d7c0e6a86ab33d9e5c18b155d030ed037f4a5f96f1256806889cc9d52d0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-03-12T19:03:31Z","title_canon_sha256":"887db5afc08ae5d9864c9e49347981d7beee999096a2d2b8f0be7967773e7157"},"schema_version":"1.0","source":{"id":"1903.05151","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.05151","created_at":"2026-05-17T23:51:25Z"},{"alias_kind":"arxiv_version","alias_value":"1903.05151v1","created_at":"2026-05-17T23:51:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.05151","created_at":"2026-05-17T23:51:25Z"},{"alias_kind":"pith_short_12","alias_value":"UY2FLTWS46FK","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"UY2FLTWS46FKOKOB","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"UY2FLTWS","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:b9392cb47885330186d5f0e67b3b083957b6d7c3e3423a29444c367a3b0c1582","target":"graph","created_at":"2026-05-17T23:51:25Z","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":"The purpose of this paper is to provide a set of sufficient conditions so that the normalized form of the Fox-Wright functions have certain geometric properties like close-to-convexity, univalency, convexity and starlikeness inside the unit disc. In particular, we study some geometric properties for some class of functions related to the generalized hypergeometric functions.","authors_text":"Khaled Mehrez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-03-12T19:03:31Z","title":"Geometric properties of a certain class of functions related to the Fox-Wright functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.05151","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":"sha256:3641294180204387c2fc77cfbdf1b8b0de4b15f43dd752f9dc309272905b27e7","target":"record","created_at":"2026-05-17T23:51:25Z","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":"68780d7c0e6a86ab33d9e5c18b155d030ed037f4a5f96f1256806889cc9d52d0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-03-12T19:03:31Z","title_canon_sha256":"887db5afc08ae5d9864c9e49347981d7beee999096a2d2b8f0be7967773e7157"},"schema_version":"1.0","source":{"id":"1903.05151","kind":"arxiv","version":1}},"canonical_sha256":"a63455ced2e78aa729c1a2673f34e2657a8b77e250c1b83c27b2172818db6048","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a63455ced2e78aa729c1a2673f34e2657a8b77e250c1b83c27b2172818db6048","first_computed_at":"2026-05-17T23:51:25.304815Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:25.304815Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LvxLqAeH481PrCzazvsQNN3w4lAt62kyqW2kNPJUKcoGpe8opPfu4soeAJyIBx4hvyNyZxecDsFMqoxVy8+MDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:25.305374Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.05151","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3641294180204387c2fc77cfbdf1b8b0de4b15f43dd752f9dc309272905b27e7","sha256:b9392cb47885330186d5f0e67b3b083957b6d7c3e3423a29444c367a3b0c1582"],"state_sha256":"9d8b43e75d29ed78e01e53d3abdc48be8d57522e29d421be9e892679ec049d63"}