{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:VK7HXMVYVW6YNXESERQCHX64VD","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":"cc7bc61cdc249f63a07b4f7258deec8e8f54933b240623cb6c715f2caebda184","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2010-10-19T01:31:14Z","title_canon_sha256":"7105e2fc4ef183a380b9dd197b207a6f728c741feca779419e623e84007e7463"},"schema_version":"1.0","source":{"id":"1010.3776","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.3776","created_at":"2026-05-18T04:39:07Z"},{"alias_kind":"arxiv_version","alias_value":"1010.3776v1","created_at":"2026-05-18T04:39:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.3776","created_at":"2026-05-18T04:39:07Z"},{"alias_kind":"pith_short_12","alias_value":"VK7HXMVYVW6Y","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"VK7HXMVYVW6YNXES","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"VK7HXMVY","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:0fb474737a1d412e4398f2049a22cb3556243f6700e71177218147992fa16b53","target":"graph","created_at":"2026-05-18T04:39:07Z","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":"A module M over a vertex algebra V is half-integrable if a_n act locally nilpotently on M for all a in V, m in M, n>0. We study half-integrable modules over sheaves of twisted chiral differential operators (TCDO) on a smooth variety X. We prove an equivalence between certain categories of half-integrable modules over TCDO and categories of (twisted) D-modules on X.","authors_text":"Dmytro Chebotarov","cross_cats":["math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2010-10-19T01:31:14Z","title":"Half-integrable modules over algebras of twisted chiral differential operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.3776","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":"sha256:267e37105d2dbc1ba6b68364110cd3eb8b0b7ca0c4f34c4807d093e09088ddca","target":"record","created_at":"2026-05-18T04:39:07Z","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":"cc7bc61cdc249f63a07b4f7258deec8e8f54933b240623cb6c715f2caebda184","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2010-10-19T01:31:14Z","title_canon_sha256":"7105e2fc4ef183a380b9dd197b207a6f728c741feca779419e623e84007e7463"},"schema_version":"1.0","source":{"id":"1010.3776","kind":"arxiv","version":1}},"canonical_sha256":"aabe7bb2b8adbd86dc92246023dfdca8c1eaa133139f250ee3cbdac9ab56c809","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aabe7bb2b8adbd86dc92246023dfdca8c1eaa133139f250ee3cbdac9ab56c809","first_computed_at":"2026-05-18T04:39:07.616045Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:39:07.616045Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UlXNQaU2gRnINQX5cdte2OUcRZWS8lrMpHnCSjMi1Rb9+RZHTVs+F3PMIhiD1Vr7MmG4nZFjkhEklpCrpPt/BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:39:07.616544Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.3776","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:267e37105d2dbc1ba6b68364110cd3eb8b0b7ca0c4f34c4807d093e09088ddca","sha256:0fb474737a1d412e4398f2049a22cb3556243f6700e71177218147992fa16b53"],"state_sha256":"43743829443db7d632f5d6320ffaba424e42e7f93ad4f8f645602496b0a3dfb8"}