{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:2GPELQ4FSEB2Z32DSSIK3LM6YK","short_pith_number":"pith:2GPELQ4F","schema_version":"1.0","canonical_sha256":"d19e45c3859103acef439490adad9ec29e2f10727637e74414802c04042c72a0","source":{"kind":"arxiv","id":"1602.06451","version":2},"attestation_state":"computed","paper":{"title":"Whittaker functions and Demazure characters","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.NT","authors_text":"Anna Pusk\\'as, Cristian Lenart, Dinakar Muthiah, Dongwen Liu, Kyu-Hwan Lee","submitted_at":"2016-02-20T20:25:17Z","abstract_excerpt":"In this paper, we consider how to express an Iwahori--Whittaker function through Demazure characters. Under some interesting combinatorial conditions, we obtain an explicit formula and thereby a generalization of the Casselman--Shalika formula. Under the same conditions, we compute the transition matrix between two natural bases for the space of Iwahori fixed vectors of an induced representation of a p-adic group; this generalizes a result of Bump--Nakasuji."},"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":"1602.06451","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-02-20T20:25:17Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"a08949240c1532862852085227861277c91f856cf6481343fb73ff572a02cf13","abstract_canon_sha256":"b778c8d61c778ed1d9c1f850d714453c4f8274dbf1b1501c475e6155ea006fe3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:56.951254Z","signature_b64":"8ixRnpEDezWRe+ZpBG2SXdsnongQB1v/kWz7pmt6wmNK8LUUjI5N2o8B/hxViK5TJ5333psUysd9G6zuy7jPDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d19e45c3859103acef439490adad9ec29e2f10727637e74414802c04042c72a0","last_reissued_at":"2026-05-18T01:18:56.950774Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:56.950774Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Whittaker functions and Demazure characters","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.NT","authors_text":"Anna Pusk\\'as, Cristian Lenart, Dinakar Muthiah, Dongwen Liu, Kyu-Hwan Lee","submitted_at":"2016-02-20T20:25:17Z","abstract_excerpt":"In this paper, we consider how to express an Iwahori--Whittaker function through Demazure characters. Under some interesting combinatorial conditions, we obtain an explicit formula and thereby a generalization of the Casselman--Shalika formula. Under the same conditions, we compute the transition matrix between two natural bases for the space of Iwahori fixed vectors of an induced representation of a p-adic group; this generalizes a result of Bump--Nakasuji."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.06451","kind":"arxiv","version":2},"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":"1602.06451","created_at":"2026-05-18T01:18:56.950850+00:00"},{"alias_kind":"arxiv_version","alias_value":"1602.06451v2","created_at":"2026-05-18T01:18:56.950850+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.06451","created_at":"2026-05-18T01:18:56.950850+00:00"},{"alias_kind":"pith_short_12","alias_value":"2GPELQ4FSEB2","created_at":"2026-05-18T12:29:55.572404+00:00"},{"alias_kind":"pith_short_16","alias_value":"2GPELQ4FSEB2Z32D","created_at":"2026-05-18T12:29:55.572404+00:00"},{"alias_kind":"pith_short_8","alias_value":"2GPELQ4F","created_at":"2026-05-18T12:29:55.572404+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/2GPELQ4FSEB2Z32DSSIK3LM6YK","json":"https://pith.science/pith/2GPELQ4FSEB2Z32DSSIK3LM6YK.json","graph_json":"https://pith.science/api/pith-number/2GPELQ4FSEB2Z32DSSIK3LM6YK/graph.json","events_json":"https://pith.science/api/pith-number/2GPELQ4FSEB2Z32DSSIK3LM6YK/events.json","paper":"https://pith.science/paper/2GPELQ4F"},"agent_actions":{"view_html":"https://pith.science/pith/2GPELQ4FSEB2Z32DSSIK3LM6YK","download_json":"https://pith.science/pith/2GPELQ4FSEB2Z32DSSIK3LM6YK.json","view_paper":"https://pith.science/paper/2GPELQ4F","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1602.06451&json=true","fetch_graph":"https://pith.science/api/pith-number/2GPELQ4FSEB2Z32DSSIK3LM6YK/graph.json","fetch_events":"https://pith.science/api/pith-number/2GPELQ4FSEB2Z32DSSIK3LM6YK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2GPELQ4FSEB2Z32DSSIK3LM6YK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2GPELQ4FSEB2Z32DSSIK3LM6YK/action/storage_attestation","attest_author":"https://pith.science/pith/2GPELQ4FSEB2Z32DSSIK3LM6YK/action/author_attestation","sign_citation":"https://pith.science/pith/2GPELQ4FSEB2Z32DSSIK3LM6YK/action/citation_signature","submit_replication":"https://pith.science/pith/2GPELQ4FSEB2Z32DSSIK3LM6YK/action/replication_record"}},"created_at":"2026-05-18T01:18:56.950850+00:00","updated_at":"2026-05-18T01:18:56.950850+00:00"}