{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:VJ2Z6MO5HYTJKILRK4VD37A3F4","short_pith_number":"pith:VJ2Z6MO5","canonical_record":{"source":{"id":"1409.0293","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-09-01T05:25:33Z","cross_cats_sorted":[],"title_canon_sha256":"c472d2ef8d03267b90402846e60d0f9c776bf312ec1635b46eb92feae2c8489b","abstract_canon_sha256":"45b37ac4543c1075606b996ff14855573074604716aeaa897042aba61e075435"},"schema_version":"1.0"},"canonical_sha256":"aa759f31dd3e26952171572a3dfc1b2f385cf8dea6419f0c575527acfb6e96c8","source":{"kind":"arxiv","id":"1409.0293","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.0293","created_at":"2026-05-18T01:23:12Z"},{"alias_kind":"arxiv_version","alias_value":"1409.0293v1","created_at":"2026-05-18T01:23:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.0293","created_at":"2026-05-18T01:23:12Z"},{"alias_kind":"pith_short_12","alias_value":"VJ2Z6MO5HYTJ","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"VJ2Z6MO5HYTJKILR","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"VJ2Z6MO5","created_at":"2026-05-18T12:28:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:VJ2Z6MO5HYTJKILRK4VD37A3F4","target":"record","payload":{"canonical_record":{"source":{"id":"1409.0293","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-09-01T05:25:33Z","cross_cats_sorted":[],"title_canon_sha256":"c472d2ef8d03267b90402846e60d0f9c776bf312ec1635b46eb92feae2c8489b","abstract_canon_sha256":"45b37ac4543c1075606b996ff14855573074604716aeaa897042aba61e075435"},"schema_version":"1.0"},"canonical_sha256":"aa759f31dd3e26952171572a3dfc1b2f385cf8dea6419f0c575527acfb6e96c8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:12.588742Z","signature_b64":"IyE5ndcF+Xj0OlGx+eg/yS2EdYbAgPdKDEXRCNk7C1lsBqsNcb99OOYYQYAHPpbv9AqsaVb4MmzWF4+Y5yHSBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aa759f31dd3e26952171572a3dfc1b2f385cf8dea6419f0c575527acfb6e96c8","last_reissued_at":"2026-05-18T01:23:12.588045Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:12.588045Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.0293","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":"2026-05-18T01:23:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ViS8yK4fZZx5Dm6eAgn+r/KvGDejUarNLwiWbq3O8AxCzutsVOIkLPrrjURWSugADbM0Rij31Osr0EUbQrbPDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T02:12:36.046598Z"},"content_sha256":"f032e444bd9faa3f7a5874d04012a276af0745779297db7e9a819dfde3dfe1d5","schema_version":"1.0","event_id":"sha256:f032e444bd9faa3f7a5874d04012a276af0745779297db7e9a819dfde3dfe1d5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:VJ2Z6MO5HYTJKILRK4VD37A3F4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Radii of starlikeness and convexity of some $q$-Bessel functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"\\'Arp\\'ad Baricz, Dimitar K. Dimitrov, Istv\\'an Mez\\H{o}","submitted_at":"2014-09-01T05:25:33Z","abstract_excerpt":"Geometric properties of the Jackson and Hahn-Exton $q$-Bessel functions are studied. For each of them, three different normalizations are applied in such a way that the resulting functions are analytic in the unit disk of the complex plane. For each of the six functions we determine the radii of starlikeness and convexity precisely by using their Hadamard factorization. These are $q$-generalizations of some known results for Bessel functions of the first kind. The characterization of entire functions from the Laguerre-P\\'olya class via hyperbolic polynomials play an important role in this pape"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.0293","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":"2026-05-18T01:23:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vPI7H3WyLtJUMZF9HuIyqCP6UU9rYPXlv7BKeGe3ftAoWNm9OoIXHxiC2AXfuY2wz1djRmj+lSor1ijyYOutCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T02:12:36.047380Z"},"content_sha256":"5fc9315058919f6c263f1015fa23d2ff7e585751fa0278defd6d5d4e40ff79eb","schema_version":"1.0","event_id":"sha256:5fc9315058919f6c263f1015fa23d2ff7e585751fa0278defd6d5d4e40ff79eb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VJ2Z6MO5HYTJKILRK4VD37A3F4/bundle.json","state_url":"https://pith.science/pith/VJ2Z6MO5HYTJKILRK4VD37A3F4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VJ2Z6MO5HYTJKILRK4VD37A3F4/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":"2026-06-01T02:12:36Z","links":{"resolver":"https://pith.science/pith/VJ2Z6MO5HYTJKILRK4VD37A3F4","bundle":"https://pith.science/pith/VJ2Z6MO5HYTJKILRK4VD37A3F4/bundle.json","state":"https://pith.science/pith/VJ2Z6MO5HYTJKILRK4VD37A3F4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VJ2Z6MO5HYTJKILRK4VD37A3F4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:VJ2Z6MO5HYTJKILRK4VD37A3F4","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":"45b37ac4543c1075606b996ff14855573074604716aeaa897042aba61e075435","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-09-01T05:25:33Z","title_canon_sha256":"c472d2ef8d03267b90402846e60d0f9c776bf312ec1635b46eb92feae2c8489b"},"schema_version":"1.0","source":{"id":"1409.0293","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.0293","created_at":"2026-05-18T01:23:12Z"},{"alias_kind":"arxiv_version","alias_value":"1409.0293v1","created_at":"2026-05-18T01:23:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.0293","created_at":"2026-05-18T01:23:12Z"},{"alias_kind":"pith_short_12","alias_value":"VJ2Z6MO5HYTJ","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"VJ2Z6MO5HYTJKILR","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"VJ2Z6MO5","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:5fc9315058919f6c263f1015fa23d2ff7e585751fa0278defd6d5d4e40ff79eb","target":"graph","created_at":"2026-05-18T01:23:12Z","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":"Geometric properties of the Jackson and Hahn-Exton $q$-Bessel functions are studied. For each of them, three different normalizations are applied in such a way that the resulting functions are analytic in the unit disk of the complex plane. For each of the six functions we determine the radii of starlikeness and convexity precisely by using their Hadamard factorization. These are $q$-generalizations of some known results for Bessel functions of the first kind. The characterization of entire functions from the Laguerre-P\\'olya class via hyperbolic polynomials play an important role in this pape","authors_text":"\\'Arp\\'ad Baricz, Dimitar K. Dimitrov, Istv\\'an Mez\\H{o}","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-09-01T05:25:33Z","title":"Radii of starlikeness and convexity of some $q$-Bessel functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.0293","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:f032e444bd9faa3f7a5874d04012a276af0745779297db7e9a819dfde3dfe1d5","target":"record","created_at":"2026-05-18T01:23:12Z","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":"45b37ac4543c1075606b996ff14855573074604716aeaa897042aba61e075435","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-09-01T05:25:33Z","title_canon_sha256":"c472d2ef8d03267b90402846e60d0f9c776bf312ec1635b46eb92feae2c8489b"},"schema_version":"1.0","source":{"id":"1409.0293","kind":"arxiv","version":1}},"canonical_sha256":"aa759f31dd3e26952171572a3dfc1b2f385cf8dea6419f0c575527acfb6e96c8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aa759f31dd3e26952171572a3dfc1b2f385cf8dea6419f0c575527acfb6e96c8","first_computed_at":"2026-05-18T01:23:12.588045Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:12.588045Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IyE5ndcF+Xj0OlGx+eg/yS2EdYbAgPdKDEXRCNk7C1lsBqsNcb99OOYYQYAHPpbv9AqsaVb4MmzWF4+Y5yHSBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:12.588742Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.0293","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f032e444bd9faa3f7a5874d04012a276af0745779297db7e9a819dfde3dfe1d5","sha256:5fc9315058919f6c263f1015fa23d2ff7e585751fa0278defd6d5d4e40ff79eb"],"state_sha256":"070409663211894762bbda48d17bc9018a5adb5c7de0f761993f32b0602638b2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qmphy+/xs21ClKGZbHKEF7z+tv8eK7ymb4QqpuhZRl5Zay2IugxveqeLbHXThA9s0aG3M9kWMo0KL0frnsPrBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T02:12:36.051847Z","bundle_sha256":"5c644bd5b822ed455db3dcdbcb842a9f17b732d18369155297266d64dc84b98c"}}