{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:7EOOZO3NV2DEDKOCASI55TZB5R","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":"f06b36b3691c91299fbe8782f103387b3b9f96ea68b8f4a240aa3cfda707164d","cross_cats_sorted":["math-ph","math.MP","math.QA","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-07-12T12:16:24Z","title_canon_sha256":"2a392aa0e3702f8691acb1677588d1127f7a3d1bfb24a2766915e5a04df36769"},"schema_version":"1.0","source":{"id":"1707.03669","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.03669","created_at":"2026-05-18T00:05:24Z"},{"alias_kind":"arxiv_version","alias_value":"1707.03669v2","created_at":"2026-05-18T00:05:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.03669","created_at":"2026-05-18T00:05:24Z"},{"alias_kind":"pith_short_12","alias_value":"7EOOZO3NV2DE","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"7EOOZO3NV2DEDKOC","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"7EOOZO3N","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:7eb6f273c4f047fecfed109da7e35ff35c9c92d3968ce6367876440f6f604b78","target":"graph","created_at":"2026-05-18T00:05:24Z","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":"For a reductive Lie algebra g, its nilpotent element f and its faithful finite dimensional representation, we construct a Lax operator L(z) with coefficients in the quantum finite W-algebra W(g,f). We show that for the classical linear Lie algebras gl_N, sl_N, so_N and sp_N, the operator L(z) satisfies a generalized Yangian identity. The operator L(z) is a quantum finite analogue of the operator of generalized Adler type which we recently introduced in the classical affine setup. As in the latter case, L(z) is obtained as a generalized quasideterminant.","authors_text":"Alberto De Sole, Daniele Valeri, Victor Kac","cross_cats":["math-ph","math.MP","math.QA","math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-07-12T12:16:24Z","title":"A Lax type operator for quantum finite W-algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.03669","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:dc397de55172a44280014e4f2dfb380ab4c774f6d4e1db21e797a4ed68932c7e","target":"record","created_at":"2026-05-18T00:05:24Z","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":"f06b36b3691c91299fbe8782f103387b3b9f96ea68b8f4a240aa3cfda707164d","cross_cats_sorted":["math-ph","math.MP","math.QA","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-07-12T12:16:24Z","title_canon_sha256":"2a392aa0e3702f8691acb1677588d1127f7a3d1bfb24a2766915e5a04df36769"},"schema_version":"1.0","source":{"id":"1707.03669","kind":"arxiv","version":2}},"canonical_sha256":"f91cecbb6dae8641a9c20491decf21ec46d34691ba59cdaf8bf81f8612c586d8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f91cecbb6dae8641a9c20491decf21ec46d34691ba59cdaf8bf81f8612c586d8","first_computed_at":"2026-05-18T00:05:24.103829Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:05:24.103829Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HDi+1NBX2ODJsav4HVNhAp0c+62qHz1lCsNaTZi21EP0tcNHdK2fg0MaZwAO9LUJonFOFPJf0fUpNLgTTAwlCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:05:24.104563Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.03669","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dc397de55172a44280014e4f2dfb380ab4c774f6d4e1db21e797a4ed68932c7e","sha256:7eb6f273c4f047fecfed109da7e35ff35c9c92d3968ce6367876440f6f604b78"],"state_sha256":"f1e40ff393d86248af7c1a6708c7c44927b1f965f3c3c156b532fabafbf270f6"}