{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:2ITVD7MIPR3HAFCBHOKVKGEUKZ","short_pith_number":"pith:2ITVD7MI","canonical_record":{"source":{"id":"1312.7180","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-12-27T03:36:08Z","cross_cats_sorted":["math.QA","math.RT"],"title_canon_sha256":"c8d71f14d74c2ee8c7e979ee0e213e0937b4461ef2cd46ed6ea1de65a2a2cf6a","abstract_canon_sha256":"2021a73e8b97a7f15b67c90ca73c2aebb37abb0417d7faa05aa9124a5f8fbd4d"},"schema_version":"1.0"},"canonical_sha256":"d22751fd887c767014413b95551894567d9c92209628046398280369113699cf","source":{"kind":"arxiv","id":"1312.7180","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.7180","created_at":"2026-05-18T00:50:23Z"},{"alias_kind":"arxiv_version","alias_value":"1312.7180v2","created_at":"2026-05-18T00:50:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.7180","created_at":"2026-05-18T00:50:23Z"},{"alias_kind":"pith_short_12","alias_value":"2ITVD7MIPR3H","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"2ITVD7MIPR3HAFCB","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"2ITVD7MI","created_at":"2026-05-18T12:27:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:2ITVD7MIPR3HAFCBHOKVKGEUKZ","target":"record","payload":{"canonical_record":{"source":{"id":"1312.7180","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-12-27T03:36:08Z","cross_cats_sorted":["math.QA","math.RT"],"title_canon_sha256":"c8d71f14d74c2ee8c7e979ee0e213e0937b4461ef2cd46ed6ea1de65a2a2cf6a","abstract_canon_sha256":"2021a73e8b97a7f15b67c90ca73c2aebb37abb0417d7faa05aa9124a5f8fbd4d"},"schema_version":"1.0"},"canonical_sha256":"d22751fd887c767014413b95551894567d9c92209628046398280369113699cf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:23.603738Z","signature_b64":"OD/y+YUGmP4NK6/dgclIb2i/GfxQWhv2m8azzxRXKSRh2f9Crb8IpvnaJiECpgeVD0Ih9OlspdeB34KMIL5OAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d22751fd887c767014413b95551894567d9c92209628046398280369113699cf","last_reissued_at":"2026-05-18T00:50:23.602937Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:23.602937Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.7180","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:50:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pqYHalmAdCwiyzAXwcT78itq2EJX0chfKmo0LB6CwTt4YzdSycOtEL1kesmiLfMgmIXuSFG+gmvgAjs2tiaGCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T08:34:27.681376Z"},"content_sha256":"8829f6f8e3b8b9221fd81685891b85a001219143483aa9d3f23850410330f048","schema_version":"1.0","event_id":"sha256:8829f6f8e3b8b9221fd81685891b85a001219143483aa9d3f23850410330f048"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:2ITVD7MIPR3HAFCBHOKVKGEUKZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Compatibility of t-structures for quantum symplectic resolutions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA","math.RT"],"primary_cat":"math.AG","authors_text":"Kevin McGerty, Thomas Nevins","submitted_at":"2013-12-27T03:36:08Z","abstract_excerpt":"Let W be a smooth complex quasiprojective variety with the action of a connected reductive group G. Adapting the stratification approach of Teleman to a microlocal context, we prove a vanishing theorem for the functor of G-invariant sections---i.e., of quantum Hamiltonian reduction---for G-equivariant twisted D-modules on W. As a consequence, when W is affine we establish an effective combinatorial criterion for exactness of the global sections functors of microlocalization theory. When combined with our earlier derived equivalence results, this gives precise criteria for \"microlocalization of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.7180","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T00:50:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hKKMwigb5FxtEp8WRSSPSKyjlNk0M/hVVx4oy4tkIHpOp7nCZq6oBnJKjYqojXNwgqzSGSlqYPxP513yJ3MDBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T08:34:27.682027Z"},"content_sha256":"722e01b36de708b284bcc64804a1bf005b871e13b390fc33f99d3dea880d746d","schema_version":"1.0","event_id":"sha256:722e01b36de708b284bcc64804a1bf005b871e13b390fc33f99d3dea880d746d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2ITVD7MIPR3HAFCBHOKVKGEUKZ/bundle.json","state_url":"https://pith.science/pith/2ITVD7MIPR3HAFCBHOKVKGEUKZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2ITVD7MIPR3HAFCBHOKVKGEUKZ/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":"2026-05-26T08:34:27Z","links":{"resolver":"https://pith.science/pith/2ITVD7MIPR3HAFCBHOKVKGEUKZ","bundle":"https://pith.science/pith/2ITVD7MIPR3HAFCBHOKVKGEUKZ/bundle.json","state":"https://pith.science/pith/2ITVD7MIPR3HAFCBHOKVKGEUKZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2ITVD7MIPR3HAFCBHOKVKGEUKZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:2ITVD7MIPR3HAFCBHOKVKGEUKZ","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":"2021a73e8b97a7f15b67c90ca73c2aebb37abb0417d7faa05aa9124a5f8fbd4d","cross_cats_sorted":["math.QA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-12-27T03:36:08Z","title_canon_sha256":"c8d71f14d74c2ee8c7e979ee0e213e0937b4461ef2cd46ed6ea1de65a2a2cf6a"},"schema_version":"1.0","source":{"id":"1312.7180","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.7180","created_at":"2026-05-18T00:50:23Z"},{"alias_kind":"arxiv_version","alias_value":"1312.7180v2","created_at":"2026-05-18T00:50:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.7180","created_at":"2026-05-18T00:50:23Z"},{"alias_kind":"pith_short_12","alias_value":"2ITVD7MIPR3H","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"2ITVD7MIPR3HAFCB","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"2ITVD7MI","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:722e01b36de708b284bcc64804a1bf005b871e13b390fc33f99d3dea880d746d","target":"graph","created_at":"2026-05-18T00:50:23Z","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":"Let W be a smooth complex quasiprojective variety with the action of a connected reductive group G. Adapting the stratification approach of Teleman to a microlocal context, we prove a vanishing theorem for the functor of G-invariant sections---i.e., of quantum Hamiltonian reduction---for G-equivariant twisted D-modules on W. As a consequence, when W is affine we establish an effective combinatorial criterion for exactness of the global sections functors of microlocalization theory. When combined with our earlier derived equivalence results, this gives precise criteria for \"microlocalization of","authors_text":"Kevin McGerty, Thomas Nevins","cross_cats":["math.QA","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-12-27T03:36:08Z","title":"Compatibility of t-structures for quantum symplectic resolutions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.7180","kind":"arxiv","version":2},"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":"sha256:8829f6f8e3b8b9221fd81685891b85a001219143483aa9d3f23850410330f048","target":"record","created_at":"2026-05-18T00:50:23Z","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":"2021a73e8b97a7f15b67c90ca73c2aebb37abb0417d7faa05aa9124a5f8fbd4d","cross_cats_sorted":["math.QA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-12-27T03:36:08Z","title_canon_sha256":"c8d71f14d74c2ee8c7e979ee0e213e0937b4461ef2cd46ed6ea1de65a2a2cf6a"},"schema_version":"1.0","source":{"id":"1312.7180","kind":"arxiv","version":2}},"canonical_sha256":"d22751fd887c767014413b95551894567d9c92209628046398280369113699cf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d22751fd887c767014413b95551894567d9c92209628046398280369113699cf","first_computed_at":"2026-05-18T00:50:23.602937Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:23.602937Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OD/y+YUGmP4NK6/dgclIb2i/GfxQWhv2m8azzxRXKSRh2f9Crb8IpvnaJiECpgeVD0Ih9OlspdeB34KMIL5OAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:23.603738Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.7180","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8829f6f8e3b8b9221fd81685891b85a001219143483aa9d3f23850410330f048","sha256:722e01b36de708b284bcc64804a1bf005b871e13b390fc33f99d3dea880d746d"],"state_sha256":"916d7a2d12ff9f96f0f946880e67cc27a601470806cf5964f7d99ad9eae37da2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xXBwj7hFRrD+R9Trf65BOygXx3iwFSCQTXTkAH3cGIkIqIKf4w77m66wSArg8xRSyyRSWNwqJzF4Xro+ghnFDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T08:34:27.685184Z","bundle_sha256":"dde05e97401ab49fd63dac503877f763691accae3029965e5ec55fc1d4114f29"}}