{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:OIWSXH5COVZD7M26PVO4HSGEQI","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":"d3260f5d60c7a187f7a850923633dd9b18846865893628bf1cdb9a2ef43f97df","cross_cats_sorted":["math.AG","math.QA","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2011-12-29T19:18:02Z","title_canon_sha256":"96d978e72b56a0a5eeb6db79e5d7cc372967e705099fdfcce6f16bddd82f50e6"},"schema_version":"1.0","source":{"id":"1112.6385","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.6385","created_at":"2026-05-18T04:05:28Z"},{"alias_kind":"arxiv_version","alias_value":"1112.6385v1","created_at":"2026-05-18T04:05:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.6385","created_at":"2026-05-18T04:05:28Z"},{"alias_kind":"pith_short_12","alias_value":"OIWSXH5COVZD","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"OIWSXH5COVZD7M26","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"OIWSXH5C","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:fa9ce4b6e93a1625c7db7e302af302dafea6b2add0e7fa4e3aee6a8e8ec5c413","target":"graph","created_at":"2026-05-18T04:05:28Z","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 study Poisson traces of the structure algebra A of an affine Poisson variety X defined over a field of characteristic p. According to arXiv:0908.3868v4, the dual space HP_0(A) to the space of Poisson traces arises as the space of coinvariants associated to a certain D-module M(X) on X. If X has finitely many symplectic leaves and the ground field has characteristic zero, then M(X) is holonomic, and thus HP_0(A) is finite dimensional. However, in characteristic p, the dimension of HP_0(A) is typically infinite.\n  Our main results are complete computations of HP_0(A) for sufficiently large p ","authors_text":"David Jordan, Michael Zhang, Pavel Etingof, Yongyi Chen","cross_cats":["math.AG","math.QA","math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2011-12-29T19:18:02Z","title":"Poisson traces in positive characteristic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.6385","kind":"arxiv","version":1},"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:d28a471b66b1748b5a94404bee3ddd28a05e08d424ea81bec3aecb3b7f41b2b6","target":"record","created_at":"2026-05-18T04:05:28Z","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":"d3260f5d60c7a187f7a850923633dd9b18846865893628bf1cdb9a2ef43f97df","cross_cats_sorted":["math.AG","math.QA","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2011-12-29T19:18:02Z","title_canon_sha256":"96d978e72b56a0a5eeb6db79e5d7cc372967e705099fdfcce6f16bddd82f50e6"},"schema_version":"1.0","source":{"id":"1112.6385","kind":"arxiv","version":1}},"canonical_sha256":"722d2b9fa275723fb35e7d5dc3c8c48225be5b74f0450ab366168460411354aa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"722d2b9fa275723fb35e7d5dc3c8c48225be5b74f0450ab366168460411354aa","first_computed_at":"2026-05-18T04:05:28.613417Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:28.613417Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EIG642UhJVs7i/dQKUdpwGa+SInV5Y/ZaSopJbG2JdYChRVRO+CuP67uULaoKWkeQmBsPuq0zSM3/x2loruvCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:28.614195Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.6385","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d28a471b66b1748b5a94404bee3ddd28a05e08d424ea81bec3aecb3b7f41b2b6","sha256:fa9ce4b6e93a1625c7db7e302af302dafea6b2add0e7fa4e3aee6a8e8ec5c413"],"state_sha256":"169b7eaa047945aa976fa2758cfa69956c0674b498ee6a62fe772f0ac0a2de04"}