{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:2HYRSUP3DXXGVRSNHX7CL7CJSL","short_pith_number":"pith:2HYRSUP3","canonical_record":{"source":{"id":"1704.07948","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-04-26T02:33:26Z","cross_cats_sorted":[],"title_canon_sha256":"bb8592b1744e06591ae196a245510cb084ada2612a8662bae56381fb96e0408e","abstract_canon_sha256":"2f5f650cb01c4f9cd1e36524f76c597c82c900fe61af09428f19d93d9cef1ebc"},"schema_version":"1.0"},"canonical_sha256":"d1f11951fb1dee6ac64d3dfe25fc4992f0bf24c6a8a3332dbb5514a85b0394cb","source":{"kind":"arxiv","id":"1704.07948","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.07948","created_at":"2026-05-18T00:45:31Z"},{"alias_kind":"arxiv_version","alias_value":"1704.07948v1","created_at":"2026-05-18T00:45:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.07948","created_at":"2026-05-18T00:45:31Z"},{"alias_kind":"pith_short_12","alias_value":"2HYRSUP3DXXG","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2HYRSUP3DXXGVRSN","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2HYRSUP3","created_at":"2026-05-18T12:30:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:2HYRSUP3DXXGVRSNHX7CL7CJSL","target":"record","payload":{"canonical_record":{"source":{"id":"1704.07948","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-04-26T02:33:26Z","cross_cats_sorted":[],"title_canon_sha256":"bb8592b1744e06591ae196a245510cb084ada2612a8662bae56381fb96e0408e","abstract_canon_sha256":"2f5f650cb01c4f9cd1e36524f76c597c82c900fe61af09428f19d93d9cef1ebc"},"schema_version":"1.0"},"canonical_sha256":"d1f11951fb1dee6ac64d3dfe25fc4992f0bf24c6a8a3332dbb5514a85b0394cb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:31.447053Z","signature_b64":"U2Z550f7/lH4VrRoKQeGH+dEsacBZ+k3ftMCnyAiQRXDpM+wrHroFZlFckGRA7krFWKVNxeezDVxd+NY4fE6Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d1f11951fb1dee6ac64d3dfe25fc4992f0bf24c6a8a3332dbb5514a85b0394cb","last_reissued_at":"2026-05-18T00:45:31.446623Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:31.446623Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1704.07948","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:45:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G2uBbFGHiGfKa4HJvSO3gJ0qTA58KSOxbBEETvGLChJ2CskxME81v7nzLrWBNkm/3BWtWaIg3aH7rL7ix2eVDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T07:08:31.866638Z"},"content_sha256":"329b4f9be0880cb088f68fb2e92b612b9a7080bd428845b88d297e43f22cbafa","schema_version":"1.0","event_id":"sha256:329b4f9be0880cb088f68fb2e92b612b9a7080bd428845b88d297e43f22cbafa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:2HYRSUP3DXXGVRSNHX7CL7CJSL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Geometric properties of the shifted hypergeometric functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Li-Mei Wang, Toshiyuki Sugawa","submitted_at":"2017-04-26T02:33:26Z","abstract_excerpt":"We will provide sufficient conditions for the shifted hypergeometric function $z_2F_1(a,b;c;z)$ to be a member of a specific subclass of starlike functions in terms of the complex parameters $a,b$ and $c.$ For example, we study starlikeness of order $\\alpha,$ $\\lambda$-spirallikeness of order $\\alpha$ and strong starlikeness of order $\\alpha.$ In particular, those properties lead to univalence of the shifted hypergeometric functions on the unit disk."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.07948","kind":"arxiv","version":1},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:45:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"187e6bxeuf5RXpKloewSHDXqF5EJcivqsSC7aXZTtjI6RpJ207xH9FkPgMwG6jrSkCacvKVmMieDW1MPCwarBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T07:08:31.866975Z"},"content_sha256":"93de2c7ecbd4bb81b54b6ec85489ce2e8277ed9cbb2f19b0ea236366f6992891","schema_version":"1.0","event_id":"sha256:93de2c7ecbd4bb81b54b6ec85489ce2e8277ed9cbb2f19b0ea236366f6992891"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2HYRSUP3DXXGVRSNHX7CL7CJSL/bundle.json","state_url":"https://pith.science/pith/2HYRSUP3DXXGVRSNHX7CL7CJSL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2HYRSUP3DXXGVRSNHX7CL7CJSL/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-23T07:08:31Z","links":{"resolver":"https://pith.science/pith/2HYRSUP3DXXGVRSNHX7CL7CJSL","bundle":"https://pith.science/pith/2HYRSUP3DXXGVRSNHX7CL7CJSL/bundle.json","state":"https://pith.science/pith/2HYRSUP3DXXGVRSNHX7CL7CJSL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2HYRSUP3DXXGVRSNHX7CL7CJSL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:2HYRSUP3DXXGVRSNHX7CL7CJSL","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":"2f5f650cb01c4f9cd1e36524f76c597c82c900fe61af09428f19d93d9cef1ebc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-04-26T02:33:26Z","title_canon_sha256":"bb8592b1744e06591ae196a245510cb084ada2612a8662bae56381fb96e0408e"},"schema_version":"1.0","source":{"id":"1704.07948","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.07948","created_at":"2026-05-18T00:45:31Z"},{"alias_kind":"arxiv_version","alias_value":"1704.07948v1","created_at":"2026-05-18T00:45:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.07948","created_at":"2026-05-18T00:45:31Z"},{"alias_kind":"pith_short_12","alias_value":"2HYRSUP3DXXG","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2HYRSUP3DXXGVRSN","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2HYRSUP3","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:93de2c7ecbd4bb81b54b6ec85489ce2e8277ed9cbb2f19b0ea236366f6992891","target":"graph","created_at":"2026-05-18T00:45:31Z","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":"We will provide sufficient conditions for the shifted hypergeometric function $z_2F_1(a,b;c;z)$ to be a member of a specific subclass of starlike functions in terms of the complex parameters $a,b$ and $c.$ For example, we study starlikeness of order $\\alpha,$ $\\lambda$-spirallikeness of order $\\alpha$ and strong starlikeness of order $\\alpha.$ In particular, those properties lead to univalence of the shifted hypergeometric functions on the unit disk.","authors_text":"Li-Mei Wang, Toshiyuki Sugawa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-04-26T02:33:26Z","title":"Geometric properties of the shifted hypergeometric functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.07948","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":"sha256:329b4f9be0880cb088f68fb2e92b612b9a7080bd428845b88d297e43f22cbafa","target":"record","created_at":"2026-05-18T00:45:31Z","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":"2f5f650cb01c4f9cd1e36524f76c597c82c900fe61af09428f19d93d9cef1ebc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-04-26T02:33:26Z","title_canon_sha256":"bb8592b1744e06591ae196a245510cb084ada2612a8662bae56381fb96e0408e"},"schema_version":"1.0","source":{"id":"1704.07948","kind":"arxiv","version":1}},"canonical_sha256":"d1f11951fb1dee6ac64d3dfe25fc4992f0bf24c6a8a3332dbb5514a85b0394cb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d1f11951fb1dee6ac64d3dfe25fc4992f0bf24c6a8a3332dbb5514a85b0394cb","first_computed_at":"2026-05-18T00:45:31.446623Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:31.446623Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"U2Z550f7/lH4VrRoKQeGH+dEsacBZ+k3ftMCnyAiQRXDpM+wrHroFZlFckGRA7krFWKVNxeezDVxd+NY4fE6Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:31.447053Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.07948","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:329b4f9be0880cb088f68fb2e92b612b9a7080bd428845b88d297e43f22cbafa","sha256:93de2c7ecbd4bb81b54b6ec85489ce2e8277ed9cbb2f19b0ea236366f6992891"],"state_sha256":"849c8e93fff6333d429382f3e1728a1cfb15abb909921707eb6f8c423000b388"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/yByfJAr1fqtImht/PsTMQ6l4oUUqUwby1JSlKSGut68eV1CYNwut0BqmhVXqEy58XqFHPvNQbammfcJn7XlAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T07:08:31.868894Z","bundle_sha256":"0f13f9520ab06b1835967b201cd7ecacc760d24b5a29bb4113301ff00b3e3048"}}