{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:L7HXRKSKSPUTKJIAGMPF7SVIHB","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":"100dfe52fa7e5409fe6c9df0045929e7d1be771a8380a75845b5aefac08785ad","cross_cats_sorted":["math.AG","math.CO","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-03-07T19:45:29Z","title_canon_sha256":"3b30e486e711084e1344144f2aaa6e8a1f5c8dae596f44224f94c96829bafe12"},"schema_version":"1.0","source":{"id":"1203.1583","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.1583","created_at":"2026-05-18T00:29:02Z"},{"alias_kind":"arxiv_version","alias_value":"1203.1583v6","created_at":"2026-05-18T00:29:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.1583","created_at":"2026-05-18T00:29:02Z"},{"alias_kind":"pith_short_12","alias_value":"L7HXRKSKSPUT","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"L7HXRKSKSPUTKJIA","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"L7HXRKSK","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:164330e60aa9b97d8f127a4c59dabfe87ffa80aa7670da5897f1d5fa3150deff","target":"graph","created_at":"2026-05-18T00:29:02Z","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":"Let G be a semi-simple simply connected group over complex numbers. In this paper we give a geometric definition of the (dual) Weyl modules over the group G[t] and show that their characters form an eigen-function of the lattice version of the q-Toda integrable integrable system (defined by means of the quantum group version of Kostant-Whittaker reduction due to Etingof and Sevostyanov). All the proofs are algebro-geometric and rely on our previous work which interprets the universal eigen-function of the q-Toda system in terms of rings of functions on the spaces of based quasi-maps from P^1 t","authors_text":"Alexander Braverman, Michael Finkelberg","cross_cats":["math.AG","math.CO","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-03-07T19:45:29Z","title":"Weyl modules and q-Whittaker functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.1583","kind":"arxiv","version":6},"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":"sha256:5b6f2441fcae2116bb55b17e303cdc6733b18966e9abb45fe52bcea9fa54069c","target":"record","created_at":"2026-05-18T00:29:02Z","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":"100dfe52fa7e5409fe6c9df0045929e7d1be771a8380a75845b5aefac08785ad","cross_cats_sorted":["math.AG","math.CO","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-03-07T19:45:29Z","title_canon_sha256":"3b30e486e711084e1344144f2aaa6e8a1f5c8dae596f44224f94c96829bafe12"},"schema_version":"1.0","source":{"id":"1203.1583","kind":"arxiv","version":6}},"canonical_sha256":"5fcf78aa4a93e9352500331e5fcaa83875b9ba6b9a8e2da9f5720f5ba6fb1608","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5fcf78aa4a93e9352500331e5fcaa83875b9ba6b9a8e2da9f5720f5ba6fb1608","first_computed_at":"2026-05-18T00:29:02.141711Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:02.141711Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"akPKwnTQ+QAVRY9yz3pV/jaBcAk43ZyXmd4pT0qQTOq0z2aljyuMh+nhOUoqF1ZvuylPPhF7x5Izhw89NQBdBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:02.142132Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.1583","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b6f2441fcae2116bb55b17e303cdc6733b18966e9abb45fe52bcea9fa54069c","sha256:164330e60aa9b97d8f127a4c59dabfe87ffa80aa7670da5897f1d5fa3150deff"],"state_sha256":"8a12d76bc7dd49d56fa69e6343d509e35ab9986571aa36eefab7d4312043b380"}