{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:CFWXQSMC47U4B6QOGBADOGUEWI","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":"a8f02c5f158cfa80842fcd9078721261900f5df93d7893ae8c96e0708f63fe03","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2019-06-13T08:34:41Z","title_canon_sha256":"db16bc78aaf89e4353042926ec6b801879ad5da2fddfc0792e447ea3c8b9b3d0"},"schema_version":"1.0","source":{"id":"1906.05547","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.05547","created_at":"2026-05-17T23:43:24Z"},{"alias_kind":"arxiv_version","alias_value":"1906.05547v1","created_at":"2026-05-17T23:43:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.05547","created_at":"2026-05-17T23:43:24Z"},{"alias_kind":"pith_short_12","alias_value":"CFWXQSMC47U4","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"CFWXQSMC47U4B6QO","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"CFWXQSMC","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:506374377f5033f78b25eae2ac238a16266ef37a1e637615a826a037036394d9","target":"graph","created_at":"2026-05-17T23:43:24Z","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 radii of starlikeness and convexity associated with lemniscate of Bernoulli and the Janowski function, $(1+Az)/(1+Bz)$ for $-1\\leq B<A\\leq 1$, have been determined for normalizations of $q$-Bessel function, Bessel function of first kind of order $\\nu$, Lommel function of first kind and Legendre polynomial of odd degree.","authors_text":"Ajay Kumar, Vibha Madaan, V. Ravichandran","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2019-06-13T08:34:41Z","title":"Radii of Starlikeness and Convexity of Bessel Functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.05547","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":"sha256:23e179495ed636e81ebf6291dbf76867f30ed627ac89587033f8e6ff7bcb4755","target":"record","created_at":"2026-05-17T23:43:24Z","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":"a8f02c5f158cfa80842fcd9078721261900f5df93d7893ae8c96e0708f63fe03","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2019-06-13T08:34:41Z","title_canon_sha256":"db16bc78aaf89e4353042926ec6b801879ad5da2fddfc0792e447ea3c8b9b3d0"},"schema_version":"1.0","source":{"id":"1906.05547","kind":"arxiv","version":1}},"canonical_sha256":"116d784982e7e9c0fa0e3040371a84b22eb1ba9fa6867e0c33fec026eb13055f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"116d784982e7e9c0fa0e3040371a84b22eb1ba9fa6867e0c33fec026eb13055f","first_computed_at":"2026-05-17T23:43:24.990386Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:43:24.990386Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0tNCFiGGCUsLJmsyBlOEdQIwfakPDJhUjQhH4kuey3xOXnnYpyQr4/Tif/JL/jc2zhrpWDvaLIN9NylrTyCZCQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:43:24.990781Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.05547","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:23e179495ed636e81ebf6291dbf76867f30ed627ac89587033f8e6ff7bcb4755","sha256:506374377f5033f78b25eae2ac238a16266ef37a1e637615a826a037036394d9"],"state_sha256":"8be8fa8168d335cbcb35de409979b4a2efa12d3655ee905d8029834a82a95b5e"}