{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:FS7YBQTBFL6ZSBK2QPWO7V6Y5G","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":"0c5478e5a0650cb152e0af7af04016f2135f34ad64fa37317b8944cc8f99b735","cross_cats_sorted":["math.AG","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-10-28T05:56:01Z","title_canon_sha256":"0a493adc619c21938e6098a7c08e6533a03ba8506ccf2e52b04affedac28b525"},"schema_version":"1.0","source":{"id":"1310.7318","kind":"arxiv","version":7}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.7318","created_at":"2026-05-18T01:16:03Z"},{"alias_kind":"arxiv_version","alias_value":"1310.7318v7","created_at":"2026-05-18T01:16:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.7318","created_at":"2026-05-18T01:16:03Z"},{"alias_kind":"pith_short_12","alias_value":"FS7YBQTBFL6Z","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FS7YBQTBFL6ZSBK2","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FS7YBQTB","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:b4d40a6b7e1537977bae5d5566662e407b4dfef3f2737d8765620e7bbc17552d","target":"graph","created_at":"2026-05-18T01:16:03Z","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 complex, semisimple Lie algebra, and Y_h(g) and U_q(Lg) the Yangian and quantum loop algebra of g. Assuming that h is not a rational number and that q=exp(i \\pi h), we construct an equivalence between the finite-dimensional representations of U_q(Lg) and an explicit subcategory of those of Y_h(g) defined by choosing a branch of the logarithm. This equivalence is governed by the monodromy of the abelian additive difference equations defined by the commuting fields of Y_h(g). Our results are compatible with q-characters, and apply more generally to a symmetrisable Kac-Moody algebra g,","authors_text":"S. Gautam, V. Toledano-Laredo","cross_cats":["math.AG","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-10-28T05:56:01Z","title":"Yangians, quantum loop algebras and abelian difference equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.7318","kind":"arxiv","version":7},"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":"sha256:0b892e3f0ecf4a94800884624bd078f31931691724a9046bee2c9dca256bbda5","target":"record","created_at":"2026-05-18T01:16:03Z","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":"0c5478e5a0650cb152e0af7af04016f2135f34ad64fa37317b8944cc8f99b735","cross_cats_sorted":["math.AG","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-10-28T05:56:01Z","title_canon_sha256":"0a493adc619c21938e6098a7c08e6533a03ba8506ccf2e52b04affedac28b525"},"schema_version":"1.0","source":{"id":"1310.7318","kind":"arxiv","version":7}},"canonical_sha256":"2cbf80c2612afd99055a83ecefd7d8e98fb63ce16fd4f502e68bdc049719a9ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2cbf80c2612afd99055a83ecefd7d8e98fb63ce16fd4f502e68bdc049719a9ee","first_computed_at":"2026-05-18T01:16:03.065735Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:03.065735Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3bpeTSr5DnARRV2wo9Q1oavSpHzmM5kMYGzfUDuZF/kaIpKrkqomJpNViv/nYdYIU6aIPGsQtGvAaqy7Pp0ACg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:03.066411Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.7318","source_kind":"arxiv","source_version":7}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b892e3f0ecf4a94800884624bd078f31931691724a9046bee2c9dca256bbda5","sha256:b4d40a6b7e1537977bae5d5566662e407b4dfef3f2737d8765620e7bbc17552d"],"state_sha256":"5593e7d4592b91ccc762397d5f76fcd5144e233f87d4d27e1ab914c57ff8fb1a"}