{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:QQOMGWMQQ3OEOMLPCE2YOMAFER","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":"19a547cafa2e757d9502cf44dbe0388ff8d38d814a4f576d451ceefc24d059bc","cross_cats_sorted":["math-ph","math.MP","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2015-07-22T18:06:40Z","title_canon_sha256":"3759173d754ea52a9a662675b48ca6f20266d73c1443271086ebd2fbfcdef6a2"},"schema_version":"1.0","source":{"id":"1507.06276","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.06276","created_at":"2026-05-18T01:21:40Z"},{"alias_kind":"arxiv_version","alias_value":"1507.06276v2","created_at":"2026-05-18T01:21:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.06276","created_at":"2026-05-18T01:21:40Z"},{"alias_kind":"pith_short_12","alias_value":"QQOMGWMQQ3OE","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"QQOMGWMQQ3OEOMLP","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"QQOMGWMQ","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:a2a27482c6694b324ba08190ddc424bb6d6f14f26ad4f060866196d1f1dc740e","target":"graph","created_at":"2026-05-18T01:21:40Z","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 $\\mathfrak{g}$ be a symmetrizable Kac-Moody algebra and let $U_q(\\mathfrak{g})$ denote the corresponding quantized enveloping algebra. In the present paper we show that quantum symmetric pair coideal subalgebras $B_{c,s}$ of $U_q(\\mathfrak{g})$ have a universal K-matrix if $\\mathfrak{g}$ is of finite type. By a universal K-matrix for $B_{c,s}$ we mean an element in a completion of $U_q(\\mathfrak{g})$ which commutes with $B_{c,s}$ and provides solutions of the reflection equation in all integrable $U_q(\\mathfrak{g})$-modules in category $\\mathcal{O}$. The construction of the universal K-mat","authors_text":"Martina Balagovic, Stefan Kolb","cross_cats":["math-ph","math.MP","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2015-07-22T18:06:40Z","title":"Universal K-matrix for quantum symmetric pairs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.06276","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:d58c61908d6a2dd9cd87ddcd9ee0b37c3de5f160b1b47d9ab9a5c69738f2b2bc","target":"record","created_at":"2026-05-18T01:21:40Z","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":"19a547cafa2e757d9502cf44dbe0388ff8d38d814a4f576d451ceefc24d059bc","cross_cats_sorted":["math-ph","math.MP","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2015-07-22T18:06:40Z","title_canon_sha256":"3759173d754ea52a9a662675b48ca6f20266d73c1443271086ebd2fbfcdef6a2"},"schema_version":"1.0","source":{"id":"1507.06276","kind":"arxiv","version":2}},"canonical_sha256":"841cc3599086dc47316f11358730052448e712978079de9b3f75f6ad1815e765","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"841cc3599086dc47316f11358730052448e712978079de9b3f75f6ad1815e765","first_computed_at":"2026-05-18T01:21:40.681503Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:40.681503Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ii6Ipk9MJNKJKWNfemZxkYpcfLLjykAraq8/iCEPe98BZDAs2XSV3uHgVAq+z/7KcWnw/MaRFZI/LA4iFUANCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:40.682111Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.06276","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d58c61908d6a2dd9cd87ddcd9ee0b37c3de5f160b1b47d9ab9a5c69738f2b2bc","sha256:a2a27482c6694b324ba08190ddc424bb6d6f14f26ad4f060866196d1f1dc740e"],"state_sha256":"3ef5eb8b069e23f35cdaded686261778aeb1b94a0bf9e83b5f1f3e7dd062819d"}