{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:XUXOJI4KQMML2E35QEU6S46ZUU","short_pith_number":"pith:XUXOJI4K","schema_version":"1.0","canonical_sha256":"bd2ee4a38a8318bd137d8129e973d9a50d0218f9e5e802599cb14895453ece18","source":{"kind":"arxiv","id":"1605.01560","version":1},"attestation_state":"computed","paper":{"title":"Generalized Weyl modules and nonsymmetric $q$-Whittaker functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO","math.QA"],"primary_cat":"math.RT","authors_text":"Daniel Orr, Evgeny Feigin, Ievgen Makedonskyi","submitted_at":"2016-05-05T11:46:48Z","abstract_excerpt":"We introduce generalized global Weyl modules and relate their graded characters to nonsymmetric Macdonald polynomials and nonsymmetric $q$-Whittaker functions. In particular, we show that the series part of the nonsymmetric $q$-Whittaker function is a generating function for the graded characters of generalized global Weyl modules."},"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":"1605.01560","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-05-05T11:46:48Z","cross_cats_sorted":["math.CO","math.QA"],"title_canon_sha256":"63986974ea8021d3425f3fcf4a307fa51effd840bd89aed9b39d25c9e1e2dd5d","abstract_canon_sha256":"5be3df801fe692c65e2e1f87376c259439f7e616556a265059a11df5d511bb6c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:33.348612Z","signature_b64":"Ts1L11QrRDBX3W/EYCzefQNGGLR4spODIdtZW49+LZtJYX2Rd2+jBHfG5KdKjt77A+hzHTJ3fxUeudNAyQ88Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bd2ee4a38a8318bd137d8129e973d9a50d0218f9e5e802599cb14895453ece18","last_reissued_at":"2026-05-18T01:15:33.347975Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:33.347975Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generalized Weyl modules and nonsymmetric $q$-Whittaker functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO","math.QA"],"primary_cat":"math.RT","authors_text":"Daniel Orr, Evgeny Feigin, Ievgen Makedonskyi","submitted_at":"2016-05-05T11:46:48Z","abstract_excerpt":"We introduce generalized global Weyl modules and relate their graded characters to nonsymmetric Macdonald polynomials and nonsymmetric $q$-Whittaker functions. In particular, we show that the series part of the nonsymmetric $q$-Whittaker function is a generating function for the graded characters of generalized global Weyl modules."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.01560","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":"1605.01560","created_at":"2026-05-18T01:15:33.348053+00:00"},{"alias_kind":"arxiv_version","alias_value":"1605.01560v1","created_at":"2026-05-18T01:15:33.348053+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.01560","created_at":"2026-05-18T01:15:33.348053+00:00"},{"alias_kind":"pith_short_12","alias_value":"XUXOJI4KQMML","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_16","alias_value":"XUXOJI4KQMML2E35","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_8","alias_value":"XUXOJI4K","created_at":"2026-05-18T12:30:51.357362+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/XUXOJI4KQMML2E35QEU6S46ZUU","json":"https://pith.science/pith/XUXOJI4KQMML2E35QEU6S46ZUU.json","graph_json":"https://pith.science/api/pith-number/XUXOJI4KQMML2E35QEU6S46ZUU/graph.json","events_json":"https://pith.science/api/pith-number/XUXOJI4KQMML2E35QEU6S46ZUU/events.json","paper":"https://pith.science/paper/XUXOJI4K"},"agent_actions":{"view_html":"https://pith.science/pith/XUXOJI4KQMML2E35QEU6S46ZUU","download_json":"https://pith.science/pith/XUXOJI4KQMML2E35QEU6S46ZUU.json","view_paper":"https://pith.science/paper/XUXOJI4K","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1605.01560&json=true","fetch_graph":"https://pith.science/api/pith-number/XUXOJI4KQMML2E35QEU6S46ZUU/graph.json","fetch_events":"https://pith.science/api/pith-number/XUXOJI4KQMML2E35QEU6S46ZUU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XUXOJI4KQMML2E35QEU6S46ZUU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XUXOJI4KQMML2E35QEU6S46ZUU/action/storage_attestation","attest_author":"https://pith.science/pith/XUXOJI4KQMML2E35QEU6S46ZUU/action/author_attestation","sign_citation":"https://pith.science/pith/XUXOJI4KQMML2E35QEU6S46ZUU/action/citation_signature","submit_replication":"https://pith.science/pith/XUXOJI4KQMML2E35QEU6S46ZUU/action/replication_record"}},"created_at":"2026-05-18T01:15:33.348053+00:00","updated_at":"2026-05-18T01:15:33.348053+00:00"}