{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:3OBCFSBZ2EDQEQMADNPKVBJFKP","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":"526853c94e589126d438c3bab6788faa7ced549f5e2f356287057393f56bdfaa","cross_cats_sorted":["math-ph","math.AT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-11-24T18:57:22Z","title_canon_sha256":"170361a9e5b1d92723bb0d1c43266204b987a1b99623c8d3bb1c15aa9dae057a"},"schema_version":"1.0","source":{"id":"2311.14666","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.14666","created_at":"2026-07-05T07:16:51Z"},{"alias_kind":"arxiv_version","alias_value":"2311.14666v2","created_at":"2026-07-05T07:16:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.14666","created_at":"2026-07-05T07:16:51Z"},{"alias_kind":"pith_short_12","alias_value":"3OBCFSBZ2EDQ","created_at":"2026-07-05T07:16:51Z"},{"alias_kind":"pith_short_16","alias_value":"3OBCFSBZ2EDQEQMA","created_at":"2026-07-05T07:16:51Z"},{"alias_kind":"pith_short_8","alias_value":"3OBCFSBZ","created_at":"2026-07-05T07:16:51Z"}],"graph_snapshots":[{"event_id":"sha256:660c4a2ad6bc490cfd73c8871a312191e5b97fc819274c00206e2732bff49e6c","target":"graph","created_at":"2026-07-05T07:16:51Z","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/2311.14666/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the smooth $2$-group structure arising in the presence of quantum field theory with one-form symmetry. We acquire $2$-group structures obtained by a central extension of the zero-form symmetry by the one-form symmetry. We determine that the existence of a $2$-group structure is guaranteed by Chern--Simons levels. We further verify how we will be able to provide a fix to the current $2$-group problems by using the bibundle model. We outline the principal $2$-connection theory with respect to such $2$-group and compare it with the ansatz obtained from the Green--Schwarz mechanism. We fu","authors_text":"Monica Jinwoo Kang, Sungkyung Kang","cross_cats":["math-ph","math.AT","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-11-24T18:57:22Z","title":"Central extensions of higher groups: Green-Schwarz mechanism and 2-connections"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.14666","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":"sha256:0953d13fffef528c64a3f0050551249b43bfd1831e323754676ccf6e2420ccec","target":"record","created_at":"2026-07-05T07:16:51Z","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":"526853c94e589126d438c3bab6788faa7ced549f5e2f356287057393f56bdfaa","cross_cats_sorted":["math-ph","math.AT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-11-24T18:57:22Z","title_canon_sha256":"170361a9e5b1d92723bb0d1c43266204b987a1b99623c8d3bb1c15aa9dae057a"},"schema_version":"1.0","source":{"id":"2311.14666","kind":"arxiv","version":2}},"canonical_sha256":"db8222c839d1070241801b5eaa852553fb2a65b12c02bce330b966beba03b875","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"db8222c839d1070241801b5eaa852553fb2a65b12c02bce330b966beba03b875","first_computed_at":"2026-07-05T07:16:51.202685Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:16:51.202685Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cRdSKTmhCsD5gUGbxn48ZgxZOwjta2xrPeFp4TwANr69VAhs8wPIMCRgkmyOyLnbbM3OmnJzlhSlfnZXPwwZAg==","signature_status":"signed_v1","signed_at":"2026-07-05T07:16:51.203089Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.14666","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0953d13fffef528c64a3f0050551249b43bfd1831e323754676ccf6e2420ccec","sha256:660c4a2ad6bc490cfd73c8871a312191e5b97fc819274c00206e2732bff49e6c"],"state_sha256":"368f692ba5c55f2f6aba7c67c1ecf3809cbebf89d5bcd4412c24e1cc2abbb6f5"}