{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:I2TR7ONPIASY37G52QMWVN4W66","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":"e4bc1d4df14ad2e4765cbba3898a77cc92a44301e2f2bf8386ff453c9fd7f67d","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-04-12T08:39:02Z","title_canon_sha256":"fa4d66587364c3be1621be1e30137564d61e39137ba1570c4695aa78f9663110"},"schema_version":"1.0","source":{"id":"1804.04375","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.04375","created_at":"2026-05-18T00:18:37Z"},{"alias_kind":"arxiv_version","alias_value":"1804.04375v1","created_at":"2026-05-18T00:18:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.04375","created_at":"2026-05-18T00:18:37Z"},{"alias_kind":"pith_short_12","alias_value":"I2TR7ONPIASY","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"I2TR7ONPIASY37G5","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"I2TR7ONP","created_at":"2026-05-18T12:32:28Z"}],"graph_snapshots":[{"event_id":"sha256:9207afc4d853e2d0cc0d303ac521f5abef89a590b3621b920ffc2d2856eee483","target":"graph","created_at":"2026-05-18T00:18:37Z","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":"We prove that the Yangian associated to an untwisted symmetric affine Kac-Moody Lie algebra is isomorphic to the Drinfeld double of a shuffle algebra. The latter is constructed by the authors in arXiv:1407.7994 as an algebraic formalism of the cohomological Hall algebras. As a consequence, we obtain the Poincare-Birkhoff-Witt (PBW) theorem for this class of affine Yangians. Another independent proof of the PBW theorem is given recently by Guay-Regelskis-Wendlandt.","authors_text":"Gufang Zhao, Yaping Yang","cross_cats":["math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-04-12T08:39:02Z","title":"The PBW theorem for the affine Yangians"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.04375","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:ff0b3691f0116cb8886023a692e057d6ebb72f2ff21be9b9cbc205e2184c1654","target":"record","created_at":"2026-05-18T00:18:37Z","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":"e4bc1d4df14ad2e4765cbba3898a77cc92a44301e2f2bf8386ff453c9fd7f67d","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-04-12T08:39:02Z","title_canon_sha256":"fa4d66587364c3be1621be1e30137564d61e39137ba1570c4695aa78f9663110"},"schema_version":"1.0","source":{"id":"1804.04375","kind":"arxiv","version":1}},"canonical_sha256":"46a71fb9af40258dfcddd4196ab796f79e5f7814ecedc9ee3f9580c9c74d74aa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"46a71fb9af40258dfcddd4196ab796f79e5f7814ecedc9ee3f9580c9c74d74aa","first_computed_at":"2026-05-18T00:18:37.745510Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:37.745510Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VlUcDINS5gnNfQlM/A59LXXFNQeyUtpYEbxhXvC3k+WrVi7qeCZ01QafU3AAWIji330FG3XHGs2GTlViTLY4BA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:37.746078Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.04375","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ff0b3691f0116cb8886023a692e057d6ebb72f2ff21be9b9cbc205e2184c1654","sha256:9207afc4d853e2d0cc0d303ac521f5abef89a590b3621b920ffc2d2856eee483"],"state_sha256":"2b80aef07e9b619dedc17b4d8b4a0a5b0bdf6a1d25b21219af4d1ece9bcf292a"}