{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:U6OTO6MCI3B2PUUZLQS37VWULW","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":"b67dd7bddb8c723fc2e47f7c4038496435161db82e22e969d8a897065146c3f8","cross_cats_sorted":["math-ph","math.MP","math.RT","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-01T05:57:00Z","title_canon_sha256":"9ebe7c8a81ed448ee7ff05a9a1f7fbcf6a72815dbbc38b598837bb05424e62c9"},"schema_version":"1.0","source":{"id":"1705.00423","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.00423","created_at":"2026-05-18T00:30:45Z"},{"alias_kind":"arxiv_version","alias_value":"1705.00423v3","created_at":"2026-05-18T00:30:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.00423","created_at":"2026-05-18T00:30:45Z"},{"alias_kind":"pith_short_12","alias_value":"U6OTO6MCI3B2","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"U6OTO6MCI3B2PUUZ","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"U6OTO6MC","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:8b83a19faab19f531e6d508f1663da9984d484f7c9e6cf27f61f5a05dd66d66d","target":"graph","created_at":"2026-05-18T00:30:45Z","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 survey the theory of Poisson traces (or zeroth Poisson homology) developed by the authors in a series of recent papers. The goal is to understand this subtle invariant of (singular) Poisson varieties, conditions for it to be finite-dimensional, its relationship to the geometry and topology of symplectic resolutions, and its applications to quantizations. The main technique is the study of a canonical D-module on the variety. In the case the variety has finitely many symplectic leaves (such as for symplectic singularities and Hamiltonian reductions of symplectic vector spaces by reductive gr","authors_text":"Pavel Etingof, Travis Schedler","cross_cats":["math-ph","math.MP","math.RT","math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-01T05:57:00Z","title":"Poisson traces, D-modules, and symplectic resolutions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.00423","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:e39688c0d8b6d931fa5d3552e48d10619c8baed876f56042dc0bd72c30b9f0f5","target":"record","created_at":"2026-05-18T00:30:45Z","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":"b67dd7bddb8c723fc2e47f7c4038496435161db82e22e969d8a897065146c3f8","cross_cats_sorted":["math-ph","math.MP","math.RT","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-01T05:57:00Z","title_canon_sha256":"9ebe7c8a81ed448ee7ff05a9a1f7fbcf6a72815dbbc38b598837bb05424e62c9"},"schema_version":"1.0","source":{"id":"1705.00423","kind":"arxiv","version":3}},"canonical_sha256":"a79d37798246c3a7d2995c25bfd6d45d874cb2f7928d51b99ff8c6a5f3d52bbe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a79d37798246c3a7d2995c25bfd6d45d874cb2f7928d51b99ff8c6a5f3d52bbe","first_computed_at":"2026-05-18T00:30:45.054913Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:30:45.054913Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QRfFyz/n7NrOo/h6HPWlB6yqSm5YSJ4QZTvdeZd9Kn/1VdEwXQud3NmyQeOW+/cWd3A+suzk7wNBuDhhhpPLAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:30:45.055459Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.00423","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e39688c0d8b6d931fa5d3552e48d10619c8baed876f56042dc0bd72c30b9f0f5","sha256:8b83a19faab19f531e6d508f1663da9984d484f7c9e6cf27f61f5a05dd66d66d"],"state_sha256":"9d5fd3d5f4e9360e9fb87a45700b4dc057564b1776100b537727cd0e1ce2fd01"}