{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:MRIOSACHNPCUVFFADD7AOZQSXS","short_pith_number":"pith:MRIOSACH","schema_version":"1.0","canonical_sha256":"6450e900476bc54a94a018fe076612bcad2c3f8cff922b538cdf2aef34c17216","source":{"kind":"arxiv","id":"1104.3918","version":3},"attestation_state":"computed","paper":{"title":"One-dimensional nil-DAHA and Whittaker functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.QA","authors_text":"Daniel Orr, Ivan Cherednik","submitted_at":"2011-04-20T01:58:43Z","abstract_excerpt":"This work, to be published in Transformation Groups in two parts, is devoted to the theory of nil-DAHA for the root system A_1 and its applications to symmetric and nonsymmetric (spinor) global q-Whittaker functions. These functions integrate the q-Toda eigenvalue problem and its Dunkl-type nonsymmetric version.\n  The global symmetric function can be interpreted as the generating function of the Demazure characters for dominant weights, which describe the algebraic-geometric properties of the corresponding affine Schubert varieties. Its Harish-Chandra-type asymptotic expansion appeared directl"},"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":"1104.3918","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2011-04-20T01:58:43Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"2f2d57d305b82f8a88e5c5e08551f787188fdc9424871e1d2d5592653f7c8935","abstract_canon_sha256":"c20deca41fe5b46e14594103ac00a9146138ec7f5f55c934012ef76d74d74c2a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:43:07.707547Z","signature_b64":"Z4033R3SIW9Tdt51TBAOXua6GZLsMBzWONZQ4zf2eCUAe2gC+AM0lm9zDO0bm1kz00HLE2YPU04crFkXSf4vAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6450e900476bc54a94a018fe076612bcad2c3f8cff922b538cdf2aef34c17216","last_reissued_at":"2026-05-18T03:43:07.706815Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:43:07.706815Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"One-dimensional nil-DAHA and Whittaker functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.QA","authors_text":"Daniel Orr, Ivan Cherednik","submitted_at":"2011-04-20T01:58:43Z","abstract_excerpt":"This work, to be published in Transformation Groups in two parts, is devoted to the theory of nil-DAHA for the root system A_1 and its applications to symmetric and nonsymmetric (spinor) global q-Whittaker functions. These functions integrate the q-Toda eigenvalue problem and its Dunkl-type nonsymmetric version.\n  The global symmetric function can be interpreted as the generating function of the Demazure characters for dominant weights, which describe the algebraic-geometric properties of the corresponding affine Schubert varieties. Its Harish-Chandra-type asymptotic expansion appeared directl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.3918","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":"1104.3918","created_at":"2026-05-18T03:43:07.706936+00:00"},{"alias_kind":"arxiv_version","alias_value":"1104.3918v3","created_at":"2026-05-18T03:43:07.706936+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.3918","created_at":"2026-05-18T03:43:07.706936+00:00"},{"alias_kind":"pith_short_12","alias_value":"MRIOSACHNPCU","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_16","alias_value":"MRIOSACHNPCUVFFA","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_8","alias_value":"MRIOSACH","created_at":"2026-05-18T12:26:34.985390+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/MRIOSACHNPCUVFFADD7AOZQSXS","json":"https://pith.science/pith/MRIOSACHNPCUVFFADD7AOZQSXS.json","graph_json":"https://pith.science/api/pith-number/MRIOSACHNPCUVFFADD7AOZQSXS/graph.json","events_json":"https://pith.science/api/pith-number/MRIOSACHNPCUVFFADD7AOZQSXS/events.json","paper":"https://pith.science/paper/MRIOSACH"},"agent_actions":{"view_html":"https://pith.science/pith/MRIOSACHNPCUVFFADD7AOZQSXS","download_json":"https://pith.science/pith/MRIOSACHNPCUVFFADD7AOZQSXS.json","view_paper":"https://pith.science/paper/MRIOSACH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1104.3918&json=true","fetch_graph":"https://pith.science/api/pith-number/MRIOSACHNPCUVFFADD7AOZQSXS/graph.json","fetch_events":"https://pith.science/api/pith-number/MRIOSACHNPCUVFFADD7AOZQSXS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MRIOSACHNPCUVFFADD7AOZQSXS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MRIOSACHNPCUVFFADD7AOZQSXS/action/storage_attestation","attest_author":"https://pith.science/pith/MRIOSACHNPCUVFFADD7AOZQSXS/action/author_attestation","sign_citation":"https://pith.science/pith/MRIOSACHNPCUVFFADD7AOZQSXS/action/citation_signature","submit_replication":"https://pith.science/pith/MRIOSACHNPCUVFFADD7AOZQSXS/action/replication_record"}},"created_at":"2026-05-18T03:43:07.706936+00:00","updated_at":"2026-05-18T03:43:07.706936+00:00"}