{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:JRPWBQMK6TCJYNAFO7PKTQHI3C","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":"f2aeb48b99a672f41642e0c2ccc3730a3570430955717356d6da73f5fdfa151e","cross_cats_sorted":["hep-th","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2020-02-27T18:57:28Z","title_canon_sha256":"bd0e664c5c519d00fb77dc2a3605d605dee9512119a403daa4a796fa77d85d6e"},"schema_version":"1.0","source":{"id":"2002.12341","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2002.12341","created_at":"2026-07-05T02:31:37Z"},{"alias_kind":"arxiv_version","alias_value":"2002.12341v2","created_at":"2026-07-05T02:31:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2002.12341","created_at":"2026-07-05T02:31:37Z"},{"alias_kind":"pith_short_12","alias_value":"JRPWBQMK6TCJ","created_at":"2026-07-05T02:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"JRPWBQMK6TCJYNAF","created_at":"2026-07-05T02:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"JRPWBQMK","created_at":"2026-07-05T02:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:dc6e09e7c91724f4845594c9831704be97e8dd1552c6cacd84db13aabef6bbcb","target":"graph","created_at":"2026-07-05T02:31:37Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2002.12341/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a way to separate variables in a rational integrable $\\mathfrak{gl}(n)$ spin chain with an arbitrary finite-dimensional irreducible representation at each site and with generic twisted periodic boundary conditions. Firstly, we construct a basis that diagonalises a higher-rank version of the Sklyanin B-operator; the construction is based on recursive usage of an embedding of a $\\mathfrak{gl}(k)$ spin chain into a $\\mathfrak{gl}(k+1)$ spin chain which is induced from a Yangian homomorphism and controlled by dual diagonals of Gelfand-Tsetlin patterns. Then, we show that the same basis ","authors_text":"Dmytro Volin, Paul Ryan","cross_cats":["hep-th","math.MP","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2020-02-27T18:57:28Z","title":"Separation of variables for rational gl(n) spin chains in any compact representation, via fusion, embedding morphism and Backlund flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2002.12341","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":"sha256:02e63d4f2c889300d8c657efacc37464e7523969f23d53115e6dd042207c4e74","target":"record","created_at":"2026-07-05T02:31:37Z","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":"f2aeb48b99a672f41642e0c2ccc3730a3570430955717356d6da73f5fdfa151e","cross_cats_sorted":["hep-th","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2020-02-27T18:57:28Z","title_canon_sha256":"bd0e664c5c519d00fb77dc2a3605d605dee9512119a403daa4a796fa77d85d6e"},"schema_version":"1.0","source":{"id":"2002.12341","kind":"arxiv","version":2}},"canonical_sha256":"4c5f60c18af4c49c340577dea9c0e8d8a28490106cf4338a2adc7ac2489ebee1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4c5f60c18af4c49c340577dea9c0e8d8a28490106cf4338a2adc7ac2489ebee1","first_computed_at":"2026-07-05T02:31:37.864031Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:31:37.864031Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s1w787+6fry0St/1E7/aLY4YBK20u95/lBzBIhrdyW5R0LSUs8xA2oyF4CiqE78tkgWvLCWylgIrHzwVxpZCBA==","signature_status":"signed_v1","signed_at":"2026-07-05T02:31:37.864484Z","signed_message":"canonical_sha256_bytes"},"source_id":"2002.12341","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:02e63d4f2c889300d8c657efacc37464e7523969f23d53115e6dd042207c4e74","sha256:dc6e09e7c91724f4845594c9831704be97e8dd1552c6cacd84db13aabef6bbcb"],"state_sha256":"1dce0798a26649b69bc97d5e688f2171facbf0409dd6031781e57e42e418cbbb"}