{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:63NXVS6B2BSYKG7GNEY2Q4FAKT","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":"55026062f7340e6d65f46403ecc56c0b74aa198af1182770c1c7c21ab8909b3e","cross_cats_sorted":["math.QA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-03-07T00:35:45Z","title_canon_sha256":"d718d303801064e8db50d5c7356590c1183f83440a79b60fb57dc2aa8836d005"},"schema_version":"1.0","source":{"id":"1303.1578","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.1578","created_at":"2026-05-18T03:30:40Z"},{"alias_kind":"arxiv_version","alias_value":"1303.1578v2","created_at":"2026-05-18T03:30:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.1578","created_at":"2026-05-18T03:30:40Z"},{"alias_kind":"pith_short_12","alias_value":"63NXVS6B2BSY","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"63NXVS6B2BSYKG7G","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"63NXVS6B","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:7fcc51bdefda963ac344803c45048c08c2f4d3aa75454b27014290a155e5911a","target":"graph","created_at":"2026-05-18T03:30:40Z","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":"We consider a tensor product $V(b)= \\otimes_{i=1}^n\\C^N(b_i)$ of the Yangian $Y(gl_N)$ evaluation vector representations. We consider the action of the commutative Bethe subalgebra $B^q \\subset Y(gl_N)$ on a $gl_N$-weight subspace $V(b)_\\lambda \\subset V(b)$ of weight $\\lambda$. Here the Bethe algebra depends on the parameters $q=(q_1,...,q_N)$. We identify the $B^q$-module $V(b)_\\lambda$ with the regular representation of the algebra of functions on a fiber of a suitable discrete Wronski map. If $q=(1,...,1)$, we study the action of $B^{q=1}$ on a space $V(b)^{sing}_\\lambda$ of singular vecto","authors_text":"A. Varchenko, E. Mukhin, V. Tarasov","cross_cats":["math.QA","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-03-07T00:35:45Z","title":"Spaces of quasi-exponentials and representations of the Yangian Y(gl_N)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.1578","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:e699b1ca57dbbb43fe9131028f525cf99e8e027304c13ac493f1e27b01ef19d2","target":"record","created_at":"2026-05-18T03:30:40Z","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":"55026062f7340e6d65f46403ecc56c0b74aa198af1182770c1c7c21ab8909b3e","cross_cats_sorted":["math.QA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-03-07T00:35:45Z","title_canon_sha256":"d718d303801064e8db50d5c7356590c1183f83440a79b60fb57dc2aa8836d005"},"schema_version":"1.0","source":{"id":"1303.1578","kind":"arxiv","version":2}},"canonical_sha256":"f6db7acbc1d065851be66931a870a054df8e686f84d78da1734b1bee843ce446","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f6db7acbc1d065851be66931a870a054df8e686f84d78da1734b1bee843ce446","first_computed_at":"2026-05-18T03:30:40.713184Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:30:40.713184Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Lhs+gxeamlJ+dj0gQ/mqEvv5PnavZ/7EF/334qGTwvYF3sH7Rl9LRCgIyiOnKT2WSb8hHlGQnTYxxY0qJOQyAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:30:40.714117Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.1578","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e699b1ca57dbbb43fe9131028f525cf99e8e027304c13ac493f1e27b01ef19d2","sha256:7fcc51bdefda963ac344803c45048c08c2f4d3aa75454b27014290a155e5911a"],"state_sha256":"11a2f839e1840b507728d60de8003c1fbaca240e3c8662ba6451b8c1972ba4eb"}