{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:ZMJ33EDQT5ZJ7S2CX5Y3YH47UN","short_pith_number":"pith:ZMJ33EDQ","canonical_record":{"source":{"id":"1208.3863","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-08-19T16:33:41Z","cross_cats_sorted":["math.AG","math.SG"],"title_canon_sha256":"f81ca5d425145da80ad381685f23f9732e07ff38f514375527d6f7f29c512f4a","abstract_canon_sha256":"7469ff2b0bdf0f8381fe0a14e4e7d2f24e8c9c95856a92eadb73f795ecf80631"},"schema_version":"1.0"},"canonical_sha256":"cb13bd90709f729fcb42bf71bc1f9fa368d9d6247107fd8aad0a2c43e1969798","source":{"kind":"arxiv","id":"1208.3863","version":6},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.3863","created_at":"2026-07-05T04:20:59Z"},{"alias_kind":"arxiv_version","alias_value":"1208.3863v6","created_at":"2026-07-05T04:20:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.3863","created_at":"2026-07-05T04:20:59Z"},{"alias_kind":"pith_short_12","alias_value":"ZMJ33EDQT5ZJ","created_at":"2026-07-05T04:20:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZMJ33EDQT5ZJ7S2C","created_at":"2026-07-05T04:20:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZMJ33EDQ","created_at":"2026-07-05T04:20:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:ZMJ33EDQT5ZJ7S2CX5Y3YH47UN","target":"record","payload":{"canonical_record":{"source":{"id":"1208.3863","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-08-19T16:33:41Z","cross_cats_sorted":["math.AG","math.SG"],"title_canon_sha256":"f81ca5d425145da80ad381685f23f9732e07ff38f514375527d6f7f29c512f4a","abstract_canon_sha256":"7469ff2b0bdf0f8381fe0a14e4e7d2f24e8c9c95856a92eadb73f795ecf80631"},"schema_version":"1.0"},"canonical_sha256":"cb13bd90709f729fcb42bf71bc1f9fa368d9d6247107fd8aad0a2c43e1969798","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:20:59.557936Z","signature_b64":"gpIX/9YMwnUE+pMxoIJ8ip+3tpxICGZGvEjCRYWA2iprJS++cA3tpLWMgEPax0oBSHaw/aCihFQVwk1sXbCpCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cb13bd90709f729fcb42bf71bc1f9fa368d9d6247107fd8aad0a2c43e1969798","last_reissued_at":"2026-07-05T04:20:59.557469Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:20:59.557469Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1208.3863","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":"2026-07-05T04:20:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3Q4IJvakTGbQoQyKPdtInINeaC3y5DckBJvEHOguBKblZYMl08pAxnk7A0eJgeOPdRKDeQsKDp6VYhd+Rb0vAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T19:55:16.096406Z"},"content_sha256":"c845962642592cd39d0acf6d9771a3358ea1a1da7ce0eb6265548f35208b3cb7","schema_version":"1.0","event_id":"sha256:c845962642592cd39d0acf6d9771a3358ea1a1da7ce0eb6265548f35208b3cb7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:ZMJ33EDQT5ZJ7S2CX5Y3YH47UN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantizations of conical symplectic resolutions I: local and global structure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.SG"],"primary_cat":"math.RT","authors_text":"Ben Webster, Nicholas Proudfoot, Tom Braden","submitted_at":"2012-08-19T16:33:41Z","abstract_excerpt":"We re-examine some topics in representation theory of Lie algebras and Springer theory in a more general context, viewing the universal enveloping algebra as an example of the section ring of a quantization of a conical symplectic resolution. While some modification from this classical context is necessary, many familiar features survive. These include a version of the Beilinson-Bernstein localization theorem, a theory of Harish-Chandra bimodules and their relationship to convolution operators on cohomology, and a discrete group action on the derived category of representations, generalizing t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.3863","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/1208.3863/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":"2026-07-05T04:20:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"obDlODesjdbf+N8sXz1BpwEzdoEODjZpAQRH61mZaGgdgrsckNptAuAzOdqrmfxH2bNpBUYrtavplaU+nlXyCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T19:55:16.096887Z"},"content_sha256":"b253883a57c879697d50b5ca1b8e2517b1969e422f1350ca5c1f454aad6f1810","schema_version":"1.0","event_id":"sha256:b253883a57c879697d50b5ca1b8e2517b1969e422f1350ca5c1f454aad6f1810"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZMJ33EDQT5ZJ7S2CX5Y3YH47UN/bundle.json","state_url":"https://pith.science/pith/ZMJ33EDQT5ZJ7S2CX5Y3YH47UN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZMJ33EDQT5ZJ7S2CX5Y3YH47UN/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":"2026-08-09T19:55:16Z","links":{"resolver":"https://pith.science/pith/ZMJ33EDQT5ZJ7S2CX5Y3YH47UN","bundle":"https://pith.science/pith/ZMJ33EDQT5ZJ7S2CX5Y3YH47UN/bundle.json","state":"https://pith.science/pith/ZMJ33EDQT5ZJ7S2CX5Y3YH47UN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZMJ33EDQT5ZJ7S2CX5Y3YH47UN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ZMJ33EDQT5ZJ7S2CX5Y3YH47UN","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":"7469ff2b0bdf0f8381fe0a14e4e7d2f24e8c9c95856a92eadb73f795ecf80631","cross_cats_sorted":["math.AG","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-08-19T16:33:41Z","title_canon_sha256":"f81ca5d425145da80ad381685f23f9732e07ff38f514375527d6f7f29c512f4a"},"schema_version":"1.0","source":{"id":"1208.3863","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.3863","created_at":"2026-07-05T04:20:59Z"},{"alias_kind":"arxiv_version","alias_value":"1208.3863v6","created_at":"2026-07-05T04:20:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.3863","created_at":"2026-07-05T04:20:59Z"},{"alias_kind":"pith_short_12","alias_value":"ZMJ33EDQT5ZJ","created_at":"2026-07-05T04:20:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZMJ33EDQT5ZJ7S2C","created_at":"2026-07-05T04:20:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZMJ33EDQ","created_at":"2026-07-05T04:20:59Z"}],"graph_snapshots":[{"event_id":"sha256:b253883a57c879697d50b5ca1b8e2517b1969e422f1350ca5c1f454aad6f1810","target":"graph","created_at":"2026-07-05T04:20:59Z","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/1208.3863/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We re-examine some topics in representation theory of Lie algebras and Springer theory in a more general context, viewing the universal enveloping algebra as an example of the section ring of a quantization of a conical symplectic resolution. While some modification from this classical context is necessary, many familiar features survive. These include a version of the Beilinson-Bernstein localization theorem, a theory of Harish-Chandra bimodules and their relationship to convolution operators on cohomology, and a discrete group action on the derived category of representations, generalizing t","authors_text":"Ben Webster, Nicholas Proudfoot, Tom Braden","cross_cats":["math.AG","math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-08-19T16:33:41Z","title":"Quantizations of conical symplectic resolutions I: local and global structure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.3863","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:c845962642592cd39d0acf6d9771a3358ea1a1da7ce0eb6265548f35208b3cb7","target":"record","created_at":"2026-07-05T04:20:59Z","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":"7469ff2b0bdf0f8381fe0a14e4e7d2f24e8c9c95856a92eadb73f795ecf80631","cross_cats_sorted":["math.AG","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-08-19T16:33:41Z","title_canon_sha256":"f81ca5d425145da80ad381685f23f9732e07ff38f514375527d6f7f29c512f4a"},"schema_version":"1.0","source":{"id":"1208.3863","kind":"arxiv","version":6}},"canonical_sha256":"cb13bd90709f729fcb42bf71bc1f9fa368d9d6247107fd8aad0a2c43e1969798","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cb13bd90709f729fcb42bf71bc1f9fa368d9d6247107fd8aad0a2c43e1969798","first_computed_at":"2026-07-05T04:20:59.557469Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:20:59.557469Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gpIX/9YMwnUE+pMxoIJ8ip+3tpxICGZGvEjCRYWA2iprJS++cA3tpLWMgEPax0oBSHaw/aCihFQVwk1sXbCpCw==","signature_status":"signed_v1","signed_at":"2026-07-05T04:20:59.557936Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.3863","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c845962642592cd39d0acf6d9771a3358ea1a1da7ce0eb6265548f35208b3cb7","sha256:b253883a57c879697d50b5ca1b8e2517b1969e422f1350ca5c1f454aad6f1810"],"state_sha256":"e68b377bc04e0c774b58689f8a2703e9720004e6c7bba5ae54f2096480de6bd5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JWyHqOUr8hVm0VQGHTu5SmsIjObquz8O4VXS2TJrrWSEipuGIjbi/YNASpLp4/EWGf9zH4XPOsORZXiMmTg1Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T19:55:16.100338Z","bundle_sha256":"62978ab6b822a9d21c98b767d6d6db6773997955cb3e3b2356ac78aeb191a5cd"}}