{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:XM76BJXBKQKZULYCXBROOAETBN","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":"17751fc9087d2afd6c46c56785b18a86837ac91bf0aeaf99bff9b5e365bf352a","cross_cats_sorted":["math.DG"],"license":"","primary_cat":"hep-th","submitted_at":"2001-07-24T12:36:06Z","title_canon_sha256":"edf50b2996e404d3069176243a9e4eca8ed5a14acc213012e07b5c1546e217e7"},"schema_version":"1.0","source":{"id":"hep-th/0107207","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0107207","created_at":"2026-07-04T15:18:28Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0107207v2","created_at":"2026-07-04T15:18:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0107207","created_at":"2026-07-04T15:18:28Z"},{"alias_kind":"pith_short_12","alias_value":"XM76BJXBKQKZ","created_at":"2026-07-04T15:18:28Z"},{"alias_kind":"pith_short_16","alias_value":"XM76BJXBKQKZULYC","created_at":"2026-07-04T15:18:28Z"},{"alias_kind":"pith_short_8","alias_value":"XM76BJXB","created_at":"2026-07-04T15:18:28Z"}],"graph_snapshots":[{"event_id":"sha256:7e1409130440b0eb1051bf196e0e1469f9409fcb8c30b7746dd9a0c501b54e13","target":"graph","created_at":"2026-07-04T15:18:28Z","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/hep-th/0107207/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We clarify the relation between the Dixmier-Douady class on the space of self adjoint Fredholm operators (`universal B-field') and the curvature of determinant bundles over infinite-dimensional Grassmannians. In particular, in the case of Dirac type operators on a three dimensional compact manifold we obtain a simple and explicit expression for both forms.","authors_text":"Alan L. Carey, Jouko Mickelsson","cross_cats":["math.DG"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2001-07-24T12:36:06Z","title":"The universal gerbe, Dixmier-Douady class, and gauge theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0107207","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:ec2de8cb2a7d55566287291dd6da1f5c8d789d47a9c8f26de18f3a317243bb3d","target":"record","created_at":"2026-07-04T15:18:28Z","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":"17751fc9087d2afd6c46c56785b18a86837ac91bf0aeaf99bff9b5e365bf352a","cross_cats_sorted":["math.DG"],"license":"","primary_cat":"hep-th","submitted_at":"2001-07-24T12:36:06Z","title_canon_sha256":"edf50b2996e404d3069176243a9e4eca8ed5a14acc213012e07b5c1546e217e7"},"schema_version":"1.0","source":{"id":"hep-th/0107207","kind":"arxiv","version":2}},"canonical_sha256":"bb3fe0a6e154159a2f02b862e700930b5433094ff28d7976cff0d0163bc3af81","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bb3fe0a6e154159a2f02b862e700930b5433094ff28d7976cff0d0163bc3af81","first_computed_at":"2026-07-04T15:18:28.043223Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:18:28.043223Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OQLHezpfpgExKBiSs84Jl9tWv6jttAeGyKwxx6WuKTs6N5wrXutluHlO0p92JpE2ZC9InRgA0ANXAjePJKIIAQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:18:28.043638Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0107207","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec2de8cb2a7d55566287291dd6da1f5c8d789d47a9c8f26de18f3a317243bb3d","sha256:7e1409130440b0eb1051bf196e0e1469f9409fcb8c30b7746dd9a0c501b54e13"],"state_sha256":"02adc50f8b2365f1b94ed9867c94fd90d8e41099c675d5018f122590d5440f5f"}