{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:IEQKSQWD7DLLNMIG4GI3EBJO7S","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":"229960a306ea9152a6faa1e6b36030591f6c0838c5f529716b85849476bb7ddb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-04-28T06:55:40Z","title_canon_sha256":"4a4057d9d2257b3d6f9a33e0d697551e8b58693b6ffc291225c4d32cee6aa270"},"schema_version":"1.0","source":{"id":"1404.6879","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.6879","created_at":"2026-05-18T01:33:49Z"},{"alias_kind":"arxiv_version","alias_value":"1404.6879v1","created_at":"2026-05-18T01:33:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.6879","created_at":"2026-05-18T01:33:49Z"},{"alias_kind":"pith_short_12","alias_value":"IEQKSQWD7DLL","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"IEQKSQWD7DLLNMIG","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"IEQKSQWD","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:74c337f43c4b8b4f67c5aea927cb2a9f03f0ed3f9474cfbe4de4664ece249bda","target":"graph","created_at":"2026-05-18T01:33:49Z","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":"Given a simple Lie algebra $\\mathfrak{g}$ and an element $\\mu\\in\\mathfrak{g}^*$, the corresponding shift of argument subalgebra of $\\text{S}(\\mathfrak{g})$ is Poisson commutative. In the case where $\\mu$ is regular, this subalgebra is known to admit a quantization, that is, it can be lifted to a commutative subalgebra of $\\text{U}(\\mathfrak{g})$. We show that if $\\mathfrak{g}$ is of type $A$, then this property extends to arbitrary $\\mu$, thus proving a conjecture of Feigin, Frenkel and Toledano Laredo. The proof relies on an explicit construction of generators of the center of the affine vert","authors_text":"Alexander Molev, Vyacheslav Futorny","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-04-28T06:55:40Z","title":"Quantization of the shift of argument subalgebras in type A"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.6879","kind":"arxiv","version":1},"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":"sha256:68dd8d89e914abb166ab899375755d4b7efede3a8fe05235ce122fefb250275a","target":"record","created_at":"2026-05-18T01:33:49Z","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":"229960a306ea9152a6faa1e6b36030591f6c0838c5f529716b85849476bb7ddb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-04-28T06:55:40Z","title_canon_sha256":"4a4057d9d2257b3d6f9a33e0d697551e8b58693b6ffc291225c4d32cee6aa270"},"schema_version":"1.0","source":{"id":"1404.6879","kind":"arxiv","version":1}},"canonical_sha256":"4120a942c3f8d6b6b106e191b2052efcbe6fb92809f473d6e1309b276ccb9a45","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4120a942c3f8d6b6b106e191b2052efcbe6fb92809f473d6e1309b276ccb9a45","first_computed_at":"2026-05-18T01:33:49.291071Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:33:49.291071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IHRaEdtU1s7syas9tlT1MSyZcL5DihWUaMECgrl6Vw3kycAN4fXEyw2iGvY79K6WtzG3xQ//3KNxq54uoRs4Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:33:49.291797Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.6879","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68dd8d89e914abb166ab899375755d4b7efede3a8fe05235ce122fefb250275a","sha256:74c337f43c4b8b4f67c5aea927cb2a9f03f0ed3f9474cfbe4de4664ece249bda"],"state_sha256":"ef21a3f1151f48693fb401e7bc36835cb1e4761627234db29ea3a96b383e881b"}