{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:BSBVLQIVEKPXEJKYDG4SAD4B4C","short_pith_number":"pith:BSBVLQIV","canonical_record":{"source":{"id":"1407.0217","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2014-07-01T12:46:31Z","cross_cats_sorted":[],"title_canon_sha256":"3a9818177031bb56468ed0afb7381729c1b490db9d413740c09df29de7a5e83c","abstract_canon_sha256":"36adaefd8e0fc3be845e13420d33f95bdb56f9985d2d375eedfccf7795fa9559"},"schema_version":"1.0"},"canonical_sha256":"0c8355c115229f72255819b9200f81e0939bd064c113f08fb602fafab71921ac","source":{"kind":"arxiv","id":"1407.0217","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.0217","created_at":"2026-05-18T01:15:53Z"},{"alias_kind":"arxiv_version","alias_value":"1407.0217v3","created_at":"2026-05-18T01:15:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.0217","created_at":"2026-05-18T01:15:53Z"},{"alias_kind":"pith_short_12","alias_value":"BSBVLQIVEKPX","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BSBVLQIVEKPXEJKY","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BSBVLQIV","created_at":"2026-05-18T12:28:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:BSBVLQIVEKPXEJKYDG4SAD4B4C","target":"record","payload":{"canonical_record":{"source":{"id":"1407.0217","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2014-07-01T12:46:31Z","cross_cats_sorted":[],"title_canon_sha256":"3a9818177031bb56468ed0afb7381729c1b490db9d413740c09df29de7a5e83c","abstract_canon_sha256":"36adaefd8e0fc3be845e13420d33f95bdb56f9985d2d375eedfccf7795fa9559"},"schema_version":"1.0"},"canonical_sha256":"0c8355c115229f72255819b9200f81e0939bd064c113f08fb602fafab71921ac","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:53.348780Z","signature_b64":"icOouywY2qwht49+LK2VQL77/2v44g3kB1FPRnCrhaW4xOV4iesHTtMxf5iena4/EIwHniVhdP+gxyuMQGPzBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0c8355c115229f72255819b9200f81e0939bd064c113f08fb602fafab71921ac","last_reissued_at":"2026-05-18T01:15:53.348321Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:53.348321Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.0217","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:15:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5ApdfmsSvxSPus+3CtHQaPExVG1BCzK+LHhbCPn4GaqUas4C/HH1hlnlURIXK3BWhSAqjY+O8pi603xw588dDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T05:23:37.792931Z"},"content_sha256":"1174ad5b50feb559f753f9c80a8f7e57261ac6a779a2fb92d7b925a38fc40779","schema_version":"1.0","event_id":"sha256:1174ad5b50feb559f753f9c80a8f7e57261ac6a779a2fb92d7b925a38fc40779"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:BSBVLQIVEKPXEJKYDG4SAD4B4C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Nevanlinna parametrization for $q$-Lommel polynomials in the indeterminate case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SP","authors_text":"F. \\v{S}tampach, P. \\v{S}\\v{t}ov\\'i\\v{c}ek","submitted_at":"2014-07-01T12:46:31Z","abstract_excerpt":"The Hamburger moment problem for the $q$-Lommel polynomials which are related to the Hahn-Exton $q$-Bessel function is known to be indeterminate for a certain range of parameters. In this paper, the Nevanlinna parametrization for the indeterminate case is provided in an explicit form. This makes it possible to describe all N-extremal measures of orthogonality. Moreover, a linear and quadratic recurrence relation are derived for the moment sequence, and the asymptotic behavior of the moments for large powers is obtained with the aid of appropriate estimates."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.0217","kind":"arxiv","version":3},"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":"2026-05-18T01:15:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LvyaH9HERFtK99BmaQNexRiM/TsywyhEBLgsw9LhjPyV1dvHj/J7GP+/tH6EsEcSl3tCMMAOkt10/CszJ3YaAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T05:23:37.793527Z"},"content_sha256":"b6416ca19e39dc3c85cfe0a32e6b9d0387c2290e2d9b0d444c46057211a8d49e","schema_version":"1.0","event_id":"sha256:b6416ca19e39dc3c85cfe0a32e6b9d0387c2290e2d9b0d444c46057211a8d49e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BSBVLQIVEKPXEJKYDG4SAD4B4C/bundle.json","state_url":"https://pith.science/pith/BSBVLQIVEKPXEJKYDG4SAD4B4C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BSBVLQIVEKPXEJKYDG4SAD4B4C/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":"2026-05-31T05:23:37Z","links":{"resolver":"https://pith.science/pith/BSBVLQIVEKPXEJKYDG4SAD4B4C","bundle":"https://pith.science/pith/BSBVLQIVEKPXEJKYDG4SAD4B4C/bundle.json","state":"https://pith.science/pith/BSBVLQIVEKPXEJKYDG4SAD4B4C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BSBVLQIVEKPXEJKYDG4SAD4B4C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:BSBVLQIVEKPXEJKYDG4SAD4B4C","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":"36adaefd8e0fc3be845e13420d33f95bdb56f9985d2d375eedfccf7795fa9559","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2014-07-01T12:46:31Z","title_canon_sha256":"3a9818177031bb56468ed0afb7381729c1b490db9d413740c09df29de7a5e83c"},"schema_version":"1.0","source":{"id":"1407.0217","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.0217","created_at":"2026-05-18T01:15:53Z"},{"alias_kind":"arxiv_version","alias_value":"1407.0217v3","created_at":"2026-05-18T01:15:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.0217","created_at":"2026-05-18T01:15:53Z"},{"alias_kind":"pith_short_12","alias_value":"BSBVLQIVEKPX","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BSBVLQIVEKPXEJKY","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BSBVLQIV","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:b6416ca19e39dc3c85cfe0a32e6b9d0387c2290e2d9b0d444c46057211a8d49e","target":"graph","created_at":"2026-05-18T01:15:53Z","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 Hamburger moment problem for the $q$-Lommel polynomials which are related to the Hahn-Exton $q$-Bessel function is known to be indeterminate for a certain range of parameters. In this paper, the Nevanlinna parametrization for the indeterminate case is provided in an explicit form. This makes it possible to describe all N-extremal measures of orthogonality. Moreover, a linear and quadratic recurrence relation are derived for the moment sequence, and the asymptotic behavior of the moments for large powers is obtained with the aid of appropriate estimates.","authors_text":"F. \\v{S}tampach, P. \\v{S}\\v{t}ov\\'i\\v{c}ek","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2014-07-01T12:46:31Z","title":"The Nevanlinna parametrization for $q$-Lommel polynomials in the indeterminate case"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.0217","kind":"arxiv","version":3},"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":"sha256:1174ad5b50feb559f753f9c80a8f7e57261ac6a779a2fb92d7b925a38fc40779","target":"record","created_at":"2026-05-18T01:15:53Z","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":"36adaefd8e0fc3be845e13420d33f95bdb56f9985d2d375eedfccf7795fa9559","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2014-07-01T12:46:31Z","title_canon_sha256":"3a9818177031bb56468ed0afb7381729c1b490db9d413740c09df29de7a5e83c"},"schema_version":"1.0","source":{"id":"1407.0217","kind":"arxiv","version":3}},"canonical_sha256":"0c8355c115229f72255819b9200f81e0939bd064c113f08fb602fafab71921ac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0c8355c115229f72255819b9200f81e0939bd064c113f08fb602fafab71921ac","first_computed_at":"2026-05-18T01:15:53.348321Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:53.348321Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"icOouywY2qwht49+LK2VQL77/2v44g3kB1FPRnCrhaW4xOV4iesHTtMxf5iena4/EIwHniVhdP+gxyuMQGPzBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:53.348780Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.0217","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1174ad5b50feb559f753f9c80a8f7e57261ac6a779a2fb92d7b925a38fc40779","sha256:b6416ca19e39dc3c85cfe0a32e6b9d0387c2290e2d9b0d444c46057211a8d49e"],"state_sha256":"16be751a1d90585620344532728c551b8c4619e2a5789ec237210cd642fbb45d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GG3ohy3tk+MV9FTd3VbMkvCY5nhaW3by/ooyIOt1cOPFqlBoOEvkN/WPTC6c2HCLGxSD9/H/tFy+foRBC7CeCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T05:23:37.796700Z","bundle_sha256":"510226206b2215c5367b27f131fc6aeaaa0c5336f1dc0f44173317c1f525b391"}}