{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:BLJG4NPO76SUYSVAAZ3BVYZ34T","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":"ee26dd33a1fa544237eedcfe719b185c351f06aab2dd50c7daab0de1ceb88931","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-05-16T23:46:07Z","title_canon_sha256":"cb3c85ac63b87ebb39e857c927eb44a15eb83bb3c1c2962168f6b7894190d185"},"schema_version":"1.0","source":{"id":"1705.05958","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.05958","created_at":"2026-05-17T23:57:15Z"},{"alias_kind":"arxiv_version","alias_value":"1705.05958v2","created_at":"2026-05-17T23:57:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.05958","created_at":"2026-05-17T23:57:15Z"},{"alias_kind":"pith_short_12","alias_value":"BLJG4NPO76SU","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"BLJG4NPO76SUYSVA","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"BLJG4NPO","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:c913f7d89346d9dff95fb29045be042b68f455d181ef1b14649feef7f4a24538","target":"graph","created_at":"2026-05-17T23:57:15Z","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":"There is renewed interest in the coideal subalgebras used to form quantum symmetric pairs because of recent discoveries showing that they play a fundamental role in the representation theory of quantized enveloping algebras. However, there is still no general theory of finite-dimensional modules for these coideals. In this paper, we establish an important step in this direction: we show that every quantum symmetric pair coideal subalgebra admits a quantum Cartan subalgebra which is a polynomial ring that specializes to its classical counterpart. The construction builds on Kostant and Sugiura's","authors_text":"Gail Letzter","cross_cats":["math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-05-16T23:46:07Z","title":"Cartan Subalgebras for Quantum Symmetric Pair Coideals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.05958","kind":"arxiv","version":2},"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":"sha256:2b6ec4c7c0c3d2a66d14b78a22dc2df703b0ad2628c74ff37cf7b41d7c01efc7","target":"record","created_at":"2026-05-17T23:57:15Z","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":"ee26dd33a1fa544237eedcfe719b185c351f06aab2dd50c7daab0de1ceb88931","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-05-16T23:46:07Z","title_canon_sha256":"cb3c85ac63b87ebb39e857c927eb44a15eb83bb3c1c2962168f6b7894190d185"},"schema_version":"1.0","source":{"id":"1705.05958","kind":"arxiv","version":2}},"canonical_sha256":"0ad26e35eeffa54c4aa006761ae33be4d6baf45f6558b3c24e3740c60c3bbf81","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0ad26e35eeffa54c4aa006761ae33be4d6baf45f6558b3c24e3740c60c3bbf81","first_computed_at":"2026-05-17T23:57:15.783707Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:15.783707Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aGDtpkEcRxXJj4E8TaWGCPEJNGshNPX9vq/dfWUC0bLjB6O0OqEzp7wlc0bXzeGgGnzKgiRYz3DfBdoBxa+/Dg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:15.784127Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.05958","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2b6ec4c7c0c3d2a66d14b78a22dc2df703b0ad2628c74ff37cf7b41d7c01efc7","sha256:c913f7d89346d9dff95fb29045be042b68f455d181ef1b14649feef7f4a24538"],"state_sha256":"7e469d2b363530a5803998e455f789449c22d2ea67cc349f04a326a3a1460ed3"}