{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:OFBZP2TRGMYMJRWMF2W3VXHRAM","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":"d8d20ef4159b72a143c087c7692b0a1da4d257f60abe00835e1f603a3600e7f4","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2016-07-04T14:51:16Z","title_canon_sha256":"b30b6e9b22097eceab665ff8f9779958031b17d6fe1a5c947f28cf6732aac3a1"},"schema_version":"1.0","source":{"id":"1607.00917","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.00917","created_at":"2026-05-18T00:42:44Z"},{"alias_kind":"arxiv_version","alias_value":"1607.00917v3","created_at":"2026-05-18T00:42:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.00917","created_at":"2026-05-18T00:42:44Z"},{"alias_kind":"pith_short_12","alias_value":"OFBZP2TRGMYM","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"OFBZP2TRGMYMJRWM","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"OFBZP2TR","created_at":"2026-05-18T12:30:36Z"}],"graph_snapshots":[{"event_id":"sha256:0ff983766e86a34a93aeeb161617775472d0bb0610a6b07ce49a3a5c5a4debae","target":"graph","created_at":"2026-05-18T00:42:44Z","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 $\\mathfrak g$ be a finite dimensional Lie algebra over a field $\\mathbf k$, $U\\mathfrak g$ be its enveloping algebra and $S\\mathfrak g$ be the symmetric algebra on $\\mathfrak g$. Extending the work of Braverman and Gaitsgory on the deformation of Koszul algebras and the Poincar{\\'e}-Birkhoff-Witt theorem we obtain a generalized Duflo isomorphism which is valid also over fields of finite characteristic: $H_{\\text{Lie}}^n(\\mathfrak g, S\\mathfrak g) \\cong H_{\\text{Hoch}}^n(U\\mathfrak g,U\\mathfrak g)$ for all $n < \\operatorname{char}\\mathbf k$. This implies, in particular, that Duflo's classic","authors_text":"Murray Gerstenhaber","cross_cats":["math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2016-07-04T14:51:16Z","title":"Deformation of Koszul algebras and the Duflo Isomorphism theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.00917","kind":"arxiv","version":3},"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":"sha256:891d614a7fe3fdfb2ca0becfb0b937907065f368ba39652152c3bbdbe194030b","target":"record","created_at":"2026-05-18T00:42:44Z","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":"d8d20ef4159b72a143c087c7692b0a1da4d257f60abe00835e1f603a3600e7f4","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2016-07-04T14:51:16Z","title_canon_sha256":"b30b6e9b22097eceab665ff8f9779958031b17d6fe1a5c947f28cf6732aac3a1"},"schema_version":"1.0","source":{"id":"1607.00917","kind":"arxiv","version":3}},"canonical_sha256":"714397ea713330c4c6cc2eadbadcf10300b8851e488cb2b263437478ba3d8cf2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"714397ea713330c4c6cc2eadbadcf10300b8851e488cb2b263437478ba3d8cf2","first_computed_at":"2026-05-18T00:42:44.314727Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:42:44.314727Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jYprVVeQFp2DOjrqnnpqRyRmml/SWnqR8Blj6xk5TVJolriQXYwrU8XvXiH5XY0vwykgKnjnI+8viDZxQ/B6Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:42:44.315338Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.00917","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:891d614a7fe3fdfb2ca0becfb0b937907065f368ba39652152c3bbdbe194030b","sha256:0ff983766e86a34a93aeeb161617775472d0bb0610a6b07ce49a3a5c5a4debae"],"state_sha256":"34add649adee1ce07684c8c4db1a0e249083a668eb411db77c80e1a7133e8269"}