{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:MRIOSACHNPCUVFFADD7AOZQSXS","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"c20deca41fe5b46e14594103ac00a9146138ec7f5f55c934012ef76d74d74c2a","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2011-04-20T01:58:43Z","title_canon_sha256":"2f2d57d305b82f8a88e5c5e08551f787188fdc9424871e1d2d5592653f7c8935"},"schema_version":"1.0","source":{"id":"1104.3918","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.3918","created_at":"2026-05-18T03:43:07Z"},{"alias_kind":"arxiv_version","alias_value":"1104.3918v3","created_at":"2026-05-18T03:43:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.3918","created_at":"2026-05-18T03:43:07Z"},{"alias_kind":"pith_short_12","alias_value":"MRIOSACHNPCU","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"MRIOSACHNPCUVFFA","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"MRIOSACH","created_at":"2026-05-18T12:26:34Z"}],"graph_snapshots":[{"event_id":"sha256:3ed7b92b2dcfa6b0a6f346ca054b8d50386c84de557563e48c0e27d446741537","target":"graph","created_at":"2026-05-18T03:43:07Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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","authors_text":"Daniel Orr, Ivan Cherednik","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2011-04-20T01:58:43Z","title":"One-dimensional nil-DAHA and Whittaker functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.3918","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:66a8aff96cc6c11db577227f59a86a23d5fcc2332e279ffaa2e265fc901b8272","target":"record","created_at":"2026-05-18T03:43:07Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"c20deca41fe5b46e14594103ac00a9146138ec7f5f55c934012ef76d74d74c2a","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2011-04-20T01:58:43Z","title_canon_sha256":"2f2d57d305b82f8a88e5c5e08551f787188fdc9424871e1d2d5592653f7c8935"},"schema_version":"1.0","source":{"id":"1104.3918","kind":"arxiv","version":3}},"canonical_sha256":"6450e900476bc54a94a018fe076612bcad2c3f8cff922b538cdf2aef34c17216","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6450e900476bc54a94a018fe076612bcad2c3f8cff922b538cdf2aef34c17216","first_computed_at":"2026-05-18T03:43:07.706815Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:43:07.706815Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z4033R3SIW9Tdt51TBAOXua6GZLsMBzWONZQ4zf2eCUAe2gC+AM0lm9zDO0bm1kz00HLE2YPU04crFkXSf4vAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:43:07.707547Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.3918","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:66a8aff96cc6c11db577227f59a86a23d5fcc2332e279ffaa2e265fc901b8272","sha256:3ed7b92b2dcfa6b0a6f346ca054b8d50386c84de557563e48c0e27d446741537"],"state_sha256":"06cc4d1c2d2551b8fbb11c052e5ae516f8137abbea781602dafbd156a3a46bc6"}