{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:WQSSTU5BJQJHP2UH27L6WEG4VX","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":"df1684092ad839a8b243984f53e6f38cb6fe8725bc6f76f3182692f0dfe37547","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-04-28T18:00:01Z","title_canon_sha256":"0c6a49cda054ffd23d0d25c49113d210dbe97729358a157df7c1b27a6e1f24b5"},"schema_version":"1.0","source":{"id":"2204.13708","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2204.13708","created_at":"2026-07-05T04:54:57Z"},{"alias_kind":"arxiv_version","alias_value":"2204.13708v2","created_at":"2026-07-05T04:54:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2204.13708","created_at":"2026-07-05T04:54:57Z"},{"alias_kind":"pith_short_12","alias_value":"WQSSTU5BJQJH","created_at":"2026-07-05T04:54:57Z"},{"alias_kind":"pith_short_16","alias_value":"WQSSTU5BJQJHP2UH","created_at":"2026-07-05T04:54:57Z"},{"alias_kind":"pith_short_8","alias_value":"WQSSTU5B","created_at":"2026-07-05T04:54:57Z"}],"graph_snapshots":[{"event_id":"sha256:4384ba8c3b45020d124782021b07914895a94254b030b15c18fc0a2dbe74abf7","target":"graph","created_at":"2026-07-05T04:54:57Z","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/2204.13708/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we study three-dimensional orbifolds by 2-groups with a trivially-acting one-form symmetry group BK. These orbifolds have a global two-form symmetry, and so one expects that they decompose into (are equivalent to) a disjoint union of other three-dimensional theories, which we demonstrate. These theories can be interpreted as sigma models on 2-gerbes, whose formal structures reflect properties of the orbifold construction.","authors_text":"D. Robbins, E. Sharpe, T. Pantev, T. Vandermeulen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-04-28T18:00:01Z","title":"Orbifolds by 2-groups and decomposition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2204.13708","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:b173cd9e36e66690ed50df8d7259c67a5179816f459cf2beacf92841b8f861b2","target":"record","created_at":"2026-07-05T04:54:57Z","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":"df1684092ad839a8b243984f53e6f38cb6fe8725bc6f76f3182692f0dfe37547","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-04-28T18:00:01Z","title_canon_sha256":"0c6a49cda054ffd23d0d25c49113d210dbe97729358a157df7c1b27a6e1f24b5"},"schema_version":"1.0","source":{"id":"2204.13708","kind":"arxiv","version":2}},"canonical_sha256":"b42529d3a14c1277ea87d7d7eb10dcadf3732c1153bed29dfe7ab72a6c29510f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b42529d3a14c1277ea87d7d7eb10dcadf3732c1153bed29dfe7ab72a6c29510f","first_computed_at":"2026-07-05T04:54:57.046359Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:54:57.046359Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h9t1+I9Stngnq7elcTu8itPEwUxeuPHSFXDuOZtL1iS+alCRXJTnwH58yDuhFJ39GJSihJWLRn8U1uYW1R9PDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T04:54:57.046762Z","signed_message":"canonical_sha256_bytes"},"source_id":"2204.13708","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b173cd9e36e66690ed50df8d7259c67a5179816f459cf2beacf92841b8f861b2","sha256:4384ba8c3b45020d124782021b07914895a94254b030b15c18fc0a2dbe74abf7"],"state_sha256":"989739a467f2a032a58f481b3e709b8d15effac98508b7a73a017984a537c640"}