{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:BO644DG6YJHROYZIRDYOKA6NOS","short_pith_number":"pith:BO644DG6","canonical_record":{"source":{"id":"1602.00164","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-01-30T21:36:35Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"5e215d21a143267f3ee7780b87cf9234a4a690d07e16c31c0077bf140f6b28ae","abstract_canon_sha256":"6de5954cd04e033fdf1ff8bf58c28ed1477b3864f1ecc771c06ed57b2468582c"},"schema_version":"1.0"},"canonical_sha256":"0bbdce0cdec24f17632888f0e503cd7491dc131fb2158ed41ed4e62fe577e8ed","source":{"kind":"arxiv","id":"1602.00164","version":6},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.00164","created_at":"2026-07-05T08:44:42Z"},{"alias_kind":"arxiv_version","alias_value":"1602.00164v6","created_at":"2026-07-05T08:44:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.00164","created_at":"2026-07-05T08:44:42Z"},{"alias_kind":"pith_short_12","alias_value":"BO644DG6YJHR","created_at":"2026-07-05T08:44:42Z"},{"alias_kind":"pith_short_16","alias_value":"BO644DG6YJHROYZI","created_at":"2026-07-05T08:44:42Z"},{"alias_kind":"pith_short_8","alias_value":"BO644DG6","created_at":"2026-07-05T08:44:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:BO644DG6YJHROYZIRDYOKA6NOS","target":"record","payload":{"canonical_record":{"source":{"id":"1602.00164","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-01-30T21:36:35Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"5e215d21a143267f3ee7780b87cf9234a4a690d07e16c31c0077bf140f6b28ae","abstract_canon_sha256":"6de5954cd04e033fdf1ff8bf58c28ed1477b3864f1ecc771c06ed57b2468582c"},"schema_version":"1.0"},"canonical_sha256":"0bbdce0cdec24f17632888f0e503cd7491dc131fb2158ed41ed4e62fe577e8ed","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:44:42.967703Z","signature_b64":"jUkyqwfiHUajp6PTi6aeZlw5IA85OdXtt8jqg2Y5LIrtAkvfcJB8gIazjaXQuC+AwCdoQX4qur2wlBQ5U3EqAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0bbdce0cdec24f17632888f0e503cd7491dc131fb2158ed41ed4e62fe577e8ed","last_reissued_at":"2026-07-05T08:44:42.967231Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:44:42.967231Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.00164","source_version":6,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:44:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1f7ZUTkCtngZLqPeYq6iC/9EQq1qrZGaubTH5O3rH2Ku+bEHNg3tUzzsEwv8W5g+KrS8o+ekCkc8HOD1sh9tCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T13:36:25.778408Z"},"content_sha256":"9f41ce09de2e92796a0755e3a1fb50d0e1ae6f506fdc9a6dbeb1ac57215c2bdc","schema_version":"1.0","event_id":"sha256:9f41ce09de2e92796a0755e3a1fb50d0e1ae6f506fdc9a6dbeb1ac57215c2bdc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:BO644DG6YJHROYZIRDYOKA6NOS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Symplectic resolutions of quiver varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.AG","authors_text":"Gwyn Bellamy, Travis Schedler","submitted_at":"2016-01-30T21:36:35Z","abstract_excerpt":"In this article, we consider Nakajima quiver varieties from the point of view of symplectic algebraic geometry. We prove that they are all symplectic singularities in the sense of Beauville and completely classify which admit symplectic resolutions. Moreover we show that the smooth locus coincides with the locus of canonically $\\theta$-polystable points, generalizing a result of Le Bruyn; we study their \\'etale local structure and find their symplectic leaves. An interesting consequence of our results is that not all symplectic resolutions of quiver varieties appear to come from variation of G"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.00164","kind":"arxiv","version":6},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1602.00164/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:44:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QvonlzO9/mGwIzgOPHG9ySf9ozwb9gfKTjxxqt1NVrVmjpc5EvCTX+yGMj50XPDD4uJj7p2a/LHzzTMmIyCqBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T13:36:25.779212Z"},"content_sha256":"1d50db70b019d64884cf261ad0257c1bd9b73f18f91e32aea33002d8f74eb117","schema_version":"1.0","event_id":"sha256:1d50db70b019d64884cf261ad0257c1bd9b73f18f91e32aea33002d8f74eb117"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BO644DG6YJHROYZIRDYOKA6NOS/bundle.json","state_url":"https://pith.science/pith/BO644DG6YJHROYZIRDYOKA6NOS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BO644DG6YJHROYZIRDYOKA6NOS/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-08T13:36:25Z","links":{"resolver":"https://pith.science/pith/BO644DG6YJHROYZIRDYOKA6NOS","bundle":"https://pith.science/pith/BO644DG6YJHROYZIRDYOKA6NOS/bundle.json","state":"https://pith.science/pith/BO644DG6YJHROYZIRDYOKA6NOS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BO644DG6YJHROYZIRDYOKA6NOS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:BO644DG6YJHROYZIRDYOKA6NOS","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":"6de5954cd04e033fdf1ff8bf58c28ed1477b3864f1ecc771c06ed57b2468582c","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-01-30T21:36:35Z","title_canon_sha256":"5e215d21a143267f3ee7780b87cf9234a4a690d07e16c31c0077bf140f6b28ae"},"schema_version":"1.0","source":{"id":"1602.00164","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.00164","created_at":"2026-07-05T08:44:42Z"},{"alias_kind":"arxiv_version","alias_value":"1602.00164v6","created_at":"2026-07-05T08:44:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.00164","created_at":"2026-07-05T08:44:42Z"},{"alias_kind":"pith_short_12","alias_value":"BO644DG6YJHR","created_at":"2026-07-05T08:44:42Z"},{"alias_kind":"pith_short_16","alias_value":"BO644DG6YJHROYZI","created_at":"2026-07-05T08:44:42Z"},{"alias_kind":"pith_short_8","alias_value":"BO644DG6","created_at":"2026-07-05T08:44:42Z"}],"graph_snapshots":[{"event_id":"sha256:1d50db70b019d64884cf261ad0257c1bd9b73f18f91e32aea33002d8f74eb117","target":"graph","created_at":"2026-07-05T08:44:42Z","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/1602.00164/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this article, we consider Nakajima quiver varieties from the point of view of symplectic algebraic geometry. We prove that they are all symplectic singularities in the sense of Beauville and completely classify which admit symplectic resolutions. Moreover we show that the smooth locus coincides with the locus of canonically $\\theta$-polystable points, generalizing a result of Le Bruyn; we study their \\'etale local structure and find their symplectic leaves. An interesting consequence of our results is that not all symplectic resolutions of quiver varieties appear to come from variation of G","authors_text":"Gwyn Bellamy, Travis Schedler","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-01-30T21:36:35Z","title":"Symplectic resolutions of quiver varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.00164","kind":"arxiv","version":6},"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":"sha256:9f41ce09de2e92796a0755e3a1fb50d0e1ae6f506fdc9a6dbeb1ac57215c2bdc","target":"record","created_at":"2026-07-05T08:44:42Z","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":"6de5954cd04e033fdf1ff8bf58c28ed1477b3864f1ecc771c06ed57b2468582c","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-01-30T21:36:35Z","title_canon_sha256":"5e215d21a143267f3ee7780b87cf9234a4a690d07e16c31c0077bf140f6b28ae"},"schema_version":"1.0","source":{"id":"1602.00164","kind":"arxiv","version":6}},"canonical_sha256":"0bbdce0cdec24f17632888f0e503cd7491dc131fb2158ed41ed4e62fe577e8ed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0bbdce0cdec24f17632888f0e503cd7491dc131fb2158ed41ed4e62fe577e8ed","first_computed_at":"2026-07-05T08:44:42.967231Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:44:42.967231Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jUkyqwfiHUajp6PTi6aeZlw5IA85OdXtt8jqg2Y5LIrtAkvfcJB8gIazjaXQuC+AwCdoQX4qur2wlBQ5U3EqAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:44:42.967703Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.00164","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9f41ce09de2e92796a0755e3a1fb50d0e1ae6f506fdc9a6dbeb1ac57215c2bdc","sha256:1d50db70b019d64884cf261ad0257c1bd9b73f18f91e32aea33002d8f74eb117"],"state_sha256":"4294f4682fa725505a2706e8c5f16cb8f08843d6595fba69d5e4d53734e29128"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xnYOcFyccems9lfNRyweuxOL9812uwHUn8RYziE9wCqIzdFWaguW1k/KcM0qx5au+QGLC/tnTUXSst9oSorwAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T13:36:25.784959Z","bundle_sha256":"aac447193184caeca8bd84a0702f13a2e07e8cdb81bbda6ddf27ded29a2a778c"}}