{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:OWNG55DFGBDX6YDQJQTT5OJLXO","short_pith_number":"pith:OWNG55DF","schema_version":"1.0","canonical_sha256":"759a6ef46530477f60704c273eb92bbbab4b70cd4ad2ba8a0e98489cb40a8908","source":{"kind":"arxiv","id":"1010.2875","version":1},"attestation_state":"computed","paper":{"title":"Discrete series Whittaker functions on $Spin(2n,2)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Kenji Taniguchi","submitted_at":"2010-10-14T10:42:18Z","abstract_excerpt":"Discrete series Whittaker functions on $Spin(2n, 2)$ are studied. The dimensions of the space of both algebraic and continuous Whittaker models are explicitly determined. They are described by a sum of dimensions of irreducible representations of $Spin(2n-3, 2)$. Also obtained are the Mellin-Barnes type integral formulas of the Whittaker functions associated with minimal $K$-type vectors."},"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":"1010.2875","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2010-10-14T10:42:18Z","cross_cats_sorted":[],"title_canon_sha256":"28c5971e7562603c1e22cbd12761c565c1a004d709fafa7efd0d46a9d43fa3d8","abstract_canon_sha256":"2f4bd480e66bc4dcd51c97a38dd30b3d5a931d323497968eb5ee89cd980b830a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:47:16.426186Z","signature_b64":"7rM6BFTFkKbU6N0WSB1ThK3dDTIUhuq7W5yF43ISfzo8uh5Z4YzW+4rRyxNF5W1HJhp2YI01gfq8l6luzTrsAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"759a6ef46530477f60704c273eb92bbbab4b70cd4ad2ba8a0e98489cb40a8908","last_reissued_at":"2026-05-18T02:47:16.425521Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:47:16.425521Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Discrete series Whittaker functions on $Spin(2n,2)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Kenji Taniguchi","submitted_at":"2010-10-14T10:42:18Z","abstract_excerpt":"Discrete series Whittaker functions on $Spin(2n, 2)$ are studied. The dimensions of the space of both algebraic and continuous Whittaker models are explicitly determined. They are described by a sum of dimensions of irreducible representations of $Spin(2n-3, 2)$. Also obtained are the Mellin-Barnes type integral formulas of the Whittaker functions associated with minimal $K$-type vectors."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.2875","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1010.2875","created_at":"2026-05-18T02:47:16.425631+00:00"},{"alias_kind":"arxiv_version","alias_value":"1010.2875v1","created_at":"2026-05-18T02:47:16.425631+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.2875","created_at":"2026-05-18T02:47:16.425631+00:00"},{"alias_kind":"pith_short_12","alias_value":"OWNG55DFGBDX","created_at":"2026-05-18T12:26:12.377268+00:00"},{"alias_kind":"pith_short_16","alias_value":"OWNG55DFGBDX6YDQ","created_at":"2026-05-18T12:26:12.377268+00:00"},{"alias_kind":"pith_short_8","alias_value":"OWNG55DF","created_at":"2026-05-18T12:26:12.377268+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/OWNG55DFGBDX6YDQJQTT5OJLXO","json":"https://pith.science/pith/OWNG55DFGBDX6YDQJQTT5OJLXO.json","graph_json":"https://pith.science/api/pith-number/OWNG55DFGBDX6YDQJQTT5OJLXO/graph.json","events_json":"https://pith.science/api/pith-number/OWNG55DFGBDX6YDQJQTT5OJLXO/events.json","paper":"https://pith.science/paper/OWNG55DF"},"agent_actions":{"view_html":"https://pith.science/pith/OWNG55DFGBDX6YDQJQTT5OJLXO","download_json":"https://pith.science/pith/OWNG55DFGBDX6YDQJQTT5OJLXO.json","view_paper":"https://pith.science/paper/OWNG55DF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1010.2875&json=true","fetch_graph":"https://pith.science/api/pith-number/OWNG55DFGBDX6YDQJQTT5OJLXO/graph.json","fetch_events":"https://pith.science/api/pith-number/OWNG55DFGBDX6YDQJQTT5OJLXO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OWNG55DFGBDX6YDQJQTT5OJLXO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OWNG55DFGBDX6YDQJQTT5OJLXO/action/storage_attestation","attest_author":"https://pith.science/pith/OWNG55DFGBDX6YDQJQTT5OJLXO/action/author_attestation","sign_citation":"https://pith.science/pith/OWNG55DFGBDX6YDQJQTT5OJLXO/action/citation_signature","submit_replication":"https://pith.science/pith/OWNG55DFGBDX6YDQJQTT5OJLXO/action/replication_record"}},"created_at":"2026-05-18T02:47:16.425631+00:00","updated_at":"2026-05-18T02:47:16.425631+00:00"}