{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:WT4SY7U2ZGN4JX2H3WGYKFCTJ5","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":"c1fdc3d267ca73399b4796b5aa41aaba07aa66a227e277d749a0ed256302895d","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-06-16T08:23:48Z","title_canon_sha256":"1e2fab3372a73697ecd0d993fb8c9710043cdf73b17280df85a1baccfd898b80"},"schema_version":"1.0","source":{"id":"1706.05176","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.05176","created_at":"2026-05-17T23:42:35Z"},{"alias_kind":"arxiv_version","alias_value":"1706.05176v2","created_at":"2026-05-17T23:42:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.05176","created_at":"2026-05-17T23:42:35Z"},{"alias_kind":"pith_short_12","alias_value":"WT4SY7U2ZGN4","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WT4SY7U2ZGN4JX2H","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WT4SY7U2","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:dea5f7a9b1fa9435023c7113c2d3c57267b921b863605ed986c4061a7c9a5db8","target":"graph","created_at":"2026-05-17T23:42:35Z","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 the equivalence of two presentations of the Yangian $Y(\\mathfrak{g})$ of a simple Lie algebra $\\mathfrak{g}$ and we also show the equivalence with a third presentation when $\\mathfrak{g}$ is either an orthogonal or a symplectic Lie algebra. As an application, we obtain an explicit correspondence between two versions of the classification theorem of finite-dimensional irreducible modules for orthogonal and symplectic Yangians.","authors_text":"Curtis Wendlandt, Nicolas Guay, Vidas Regelskis","cross_cats":["math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-06-16T08:23:48Z","title":"Equivalences between three presentations of orthogonal and symplectic Yangians"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.05176","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":"sha256:63b0e53f71ea425a0b03e5ca307b7d456aed53bcad2b0c1a7be4068c17b4a88c","target":"record","created_at":"2026-05-17T23:42:35Z","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":"c1fdc3d267ca73399b4796b5aa41aaba07aa66a227e277d749a0ed256302895d","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-06-16T08:23:48Z","title_canon_sha256":"1e2fab3372a73697ecd0d993fb8c9710043cdf73b17280df85a1baccfd898b80"},"schema_version":"1.0","source":{"id":"1706.05176","kind":"arxiv","version":2}},"canonical_sha256":"b4f92c7e9ac99bc4df47dd8d8514534f67e04cb87175c993157ab516ad471cc5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b4f92c7e9ac99bc4df47dd8d8514534f67e04cb87175c993157ab516ad471cc5","first_computed_at":"2026-05-17T23:42:35.229690Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:35.229690Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hKqtSMyE7M57gbLoma0o2MXArhX0r0kyU9EbCOxYEhPQQy1fHQL9pH0gMJ3HYOk4WhVnQKW+qMFPlb2oKO6KDA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:35.230387Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.05176","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:63b0e53f71ea425a0b03e5ca307b7d456aed53bcad2b0c1a7be4068c17b4a88c","sha256:dea5f7a9b1fa9435023c7113c2d3c57267b921b863605ed986c4061a7c9a5db8"],"state_sha256":"7da5f094d5a4841a652a466a5f99278523202bb5e1a0fafcc65c7c3b7149ca0d"}