{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:VU2DJHIBXLTPW4KJWN32C24IX6","short_pith_number":"pith:VU2DJHIB","schema_version":"1.0","canonical_sha256":"ad34349d01bae6fb7149b377a16b88bfb5be628a9945bbd99a33f83519b7f8f6","source":{"kind":"arxiv","id":"1411.6710","version":3},"attestation_state":"computed","paper":{"title":"Theory of Bessel Functions of High Rank - II: Hankel Transforms and Fundamental Bessel Kernels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.NT","authors_text":"Zhi Qi","submitted_at":"2014-11-25T03:01:26Z","abstract_excerpt":"In this article we shall study the analytic theory and the representation theoretic interpretations of Hankel transforms and fundamental Bessel kernels of an arbitrary rank over an archimedean field."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1411.6710","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-11-25T03:01:26Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"e82fba7f1c92e66844a36cb773dafb53ae3111bc5ebbf3be5d5df51fc4b8dbf6","abstract_canon_sha256":"113af469d15f367b344a30171a6d5c053d34577d841d24836fdd7e78928d58ec"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:58.465295Z","signature_b64":"X8Uw2JKVXq+GdMfBs+9z4AdMuQ/oAGwCBdS47LUBRtj1zek7iHCKib+YeTTCwMOPUsoUAeHXmnvGToE6Ln6RDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ad34349d01bae6fb7149b377a16b88bfb5be628a9945bbd99a33f83519b7f8f6","last_reissued_at":"2026-05-18T00:51:58.464836Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:58.464836Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Theory of Bessel Functions of High Rank - II: Hankel Transforms and Fundamental Bessel Kernels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.NT","authors_text":"Zhi Qi","submitted_at":"2014-11-25T03:01:26Z","abstract_excerpt":"In this article we shall study the analytic theory and the representation theoretic interpretations of Hankel transforms and fundamental Bessel kernels of an arbitrary rank over an archimedean field."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.6710","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1411.6710","created_at":"2026-05-18T00:51:58.464908+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.6710v3","created_at":"2026-05-18T00:51:58.464908+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.6710","created_at":"2026-05-18T00:51:58.464908+00:00"},{"alias_kind":"pith_short_12","alias_value":"VU2DJHIBXLTP","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_16","alias_value":"VU2DJHIBXLTPW4KJ","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_8","alias_value":"VU2DJHIB","created_at":"2026-05-18T12:28:54.890064+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VU2DJHIBXLTPW4KJWN32C24IX6","json":"https://pith.science/pith/VU2DJHIBXLTPW4KJWN32C24IX6.json","graph_json":"https://pith.science/api/pith-number/VU2DJHIBXLTPW4KJWN32C24IX6/graph.json","events_json":"https://pith.science/api/pith-number/VU2DJHIBXLTPW4KJWN32C24IX6/events.json","paper":"https://pith.science/paper/VU2DJHIB"},"agent_actions":{"view_html":"https://pith.science/pith/VU2DJHIBXLTPW4KJWN32C24IX6","download_json":"https://pith.science/pith/VU2DJHIBXLTPW4KJWN32C24IX6.json","view_paper":"https://pith.science/paper/VU2DJHIB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.6710&json=true","fetch_graph":"https://pith.science/api/pith-number/VU2DJHIBXLTPW4KJWN32C24IX6/graph.json","fetch_events":"https://pith.science/api/pith-number/VU2DJHIBXLTPW4KJWN32C24IX6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VU2DJHIBXLTPW4KJWN32C24IX6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VU2DJHIBXLTPW4KJWN32C24IX6/action/storage_attestation","attest_author":"https://pith.science/pith/VU2DJHIBXLTPW4KJWN32C24IX6/action/author_attestation","sign_citation":"https://pith.science/pith/VU2DJHIBXLTPW4KJWN32C24IX6/action/citation_signature","submit_replication":"https://pith.science/pith/VU2DJHIBXLTPW4KJWN32C24IX6/action/replication_record"}},"created_at":"2026-05-18T00:51:58.464908+00:00","updated_at":"2026-05-18T00:51:58.464908+00:00"}