{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:N2YE47MJ64VB3TTNF56YMWHJVG","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":"f7cde0bb94de2bdc6ad222215401b1a8cfa37b4d867b0aacc842ee13ceb30fb2","cross_cats_sorted":["math.AG"],"license":"","primary_cat":"math.RT","submitted_at":"2006-03-23T12:02:48Z","title_canon_sha256":"e7ab4b979798dac1cf93ab26ff121e220e68d142414fa4c43cfd0cd8431f06cf"},"schema_version":"1.0","source":{"id":"math/0603562","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0603562","created_at":"2026-07-04T14:54:00Z"},{"alias_kind":"arxiv_version","alias_value":"math/0603562v1","created_at":"2026-07-04T14:54:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0603562","created_at":"2026-07-04T14:54:00Z"},{"alias_kind":"pith_short_12","alias_value":"N2YE47MJ64VB","created_at":"2026-07-04T14:54:00Z"},{"alias_kind":"pith_short_16","alias_value":"N2YE47MJ64VB3TTN","created_at":"2026-07-04T14:54:00Z"},{"alias_kind":"pith_short_8","alias_value":"N2YE47MJ","created_at":"2026-07-04T14:54:00Z"}],"graph_snapshots":[{"event_id":"sha256:adc945a19932a917957b274e679d39491f8654451158a75168c091f732004155","target":"graph","created_at":"2026-07-04T14:54:00Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/math/0603562/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the Poisson geometry of the Marsden-Weinstein reductions of the moment map associated to the cotangent bundle of the space of representations of a quiver. We show that the stratification by representation type equals the stratification by symplectic leaves. The deformed symplectic quotient singularities - spectra of centres of symplectic reflection algebras associated to a wreath product - are shown to be isomorphic to reductions of a certain quiver. This establishes a method to calculate when these deformations are smooth. Furthermore, the isomorphism identifies symplectic leav","authors_text":"Maurizio Martino","cross_cats":["math.AG"],"headline":"","license":"","primary_cat":"math.RT","submitted_at":"2006-03-23T12:02:48Z","title":"Stratifications of Marsden-Weinstein reductions for representations of quivers and deformations of symplectic quotient singularities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0603562","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":"sha256:2031956b65994bc775ad25ee41c4c6b9fea6589fa5cc9d7b383477a8c37ea77e","target":"record","created_at":"2026-07-04T14:54:00Z","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":"f7cde0bb94de2bdc6ad222215401b1a8cfa37b4d867b0aacc842ee13ceb30fb2","cross_cats_sorted":["math.AG"],"license":"","primary_cat":"math.RT","submitted_at":"2006-03-23T12:02:48Z","title_canon_sha256":"e7ab4b979798dac1cf93ab26ff121e220e68d142414fa4c43cfd0cd8431f06cf"},"schema_version":"1.0","source":{"id":"math/0603562","kind":"arxiv","version":1}},"canonical_sha256":"6eb04e7d89f72a1dce6d2f7d8658e9a9b9bcbe0122dd90d7ad1d0a26715ee8b2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6eb04e7d89f72a1dce6d2f7d8658e9a9b9bcbe0122dd90d7ad1d0a26715ee8b2","first_computed_at":"2026-07-04T14:54:00.598566Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:54:00.598566Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ss3VawhQT0G9wKerYlBIj+l8M+nzj9kStsz6RDa24Tea/q/+OFqwuKsaoZTvZ6tVqkvMsoI1j30IDWwB9F2YAg==","signature_status":"signed_v1","signed_at":"2026-07-04T14:54:00.598909Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0603562","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2031956b65994bc775ad25ee41c4c6b9fea6589fa5cc9d7b383477a8c37ea77e","sha256:adc945a19932a917957b274e679d39491f8654451158a75168c091f732004155"],"state_sha256":"36d36388a109f027b4e9da6805b82e13858b0c86bb022d73cc9a176085ec6f9d"}