{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:GDCTNWGN7OUG25UW32ZAN7HN3W","short_pith_number":"pith:GDCTNWGN","schema_version":"1.0","canonical_sha256":"30c536d8cdfba86d7696deb206fceddd912fbbfbf82ac3f632522d102ace8814","source":{"kind":"arxiv","id":"2206.01287","version":1},"attestation_state":"computed","paper":{"title":"Disconnected 0-Form and 2-Group Symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Dewi S.W. Gould, Lakshya Bhardwaj","submitted_at":"2022-06-02T20:19:37Z","abstract_excerpt":"Quantum field theories can have both continuous and finite 0-form symmetries. We study global symmetry structures that arise when both kinds of 0-form symmetries are present. The global structure associated to continuous 0-form symmetries is described by a connected Lie group, which captures the possible backgrounds of the continuous 0-form symmetries the theory can be coupled to. Finite 0-form symmetries can act as outer-automorphisms of this connected Lie group. Consequently, possible background couplings to both continuous and finite 0-form symmetries are described by a disconnected Lie gro"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2206.01287","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-06-02T20:19:37Z","cross_cats_sorted":[],"title_canon_sha256":"1187b39a354188ddf7c01c5e512703a5abad28aa4cdff64667ca552f778f155f","abstract_canon_sha256":"977ca6feb2db3ae7a14b37b08f5e8c95281562492dcb7d94aaffcba51cbd407f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:36:21.566628Z","signature_b64":"M1lnWa9hdzKURMus6fbI0md3uRtPBc7W5kRo+YreiRbmEYK2gMIKy0AzX7mkSUG6B0hhV+WZIlM9tDzhI6UHAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"30c536d8cdfba86d7696deb206fceddd912fbbfbf82ac3f632522d102ace8814","last_reissued_at":"2026-07-05T06:36:21.566119Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:36:21.566119Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Disconnected 0-Form and 2-Group Symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Dewi S.W. Gould, Lakshya Bhardwaj","submitted_at":"2022-06-02T20:19:37Z","abstract_excerpt":"Quantum field theories can have both continuous and finite 0-form symmetries. We study global symmetry structures that arise when both kinds of 0-form symmetries are present. The global structure associated to continuous 0-form symmetries is described by a connected Lie group, which captures the possible backgrounds of the continuous 0-form symmetries the theory can be coupled to. Finite 0-form symmetries can act as outer-automorphisms of this connected Lie group. Consequently, possible background couplings to both continuous and finite 0-form symmetries are described by a disconnected Lie gro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.01287","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2206.01287/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2206.01287","created_at":"2026-07-05T06:36:21.566180+00:00"},{"alias_kind":"arxiv_version","alias_value":"2206.01287v1","created_at":"2026-07-05T06:36:21.566180+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.01287","created_at":"2026-07-05T06:36:21.566180+00:00"},{"alias_kind":"pith_short_12","alias_value":"GDCTNWGN7OUG","created_at":"2026-07-05T06:36:21.566180+00:00"},{"alias_kind":"pith_short_16","alias_value":"GDCTNWGN7OUG25UW","created_at":"2026-07-05T06:36:21.566180+00:00"},{"alias_kind":"pith_short_8","alias_value":"GDCTNWGN","created_at":"2026-07-05T06:36:21.566180+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2307.07547","citing_title":"Lectures on Generalized Symmetries","ref_index":198,"is_internal_anchor":false},{"citing_arxiv_id":"2305.18296","citing_title":"ICTP Lectures on (Non-)Invertible Generalized Symmetries","ref_index":149,"is_internal_anchor":false},{"citing_arxiv_id":"2605.06653","citing_title":"From Baby Universes to Narain Moduli: Topological Boundary Averaging in SymTFTs","ref_index":234,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GDCTNWGN7OUG25UW32ZAN7HN3W","json":"https://pith.science/pith/GDCTNWGN7OUG25UW32ZAN7HN3W.json","graph_json":"https://pith.science/api/pith-number/GDCTNWGN7OUG25UW32ZAN7HN3W/graph.json","events_json":"https://pith.science/api/pith-number/GDCTNWGN7OUG25UW32ZAN7HN3W/events.json","paper":"https://pith.science/paper/GDCTNWGN"},"agent_actions":{"view_html":"https://pith.science/pith/GDCTNWGN7OUG25UW32ZAN7HN3W","download_json":"https://pith.science/pith/GDCTNWGN7OUG25UW32ZAN7HN3W.json","view_paper":"https://pith.science/paper/GDCTNWGN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2206.01287&json=true","fetch_graph":"https://pith.science/api/pith-number/GDCTNWGN7OUG25UW32ZAN7HN3W/graph.json","fetch_events":"https://pith.science/api/pith-number/GDCTNWGN7OUG25UW32ZAN7HN3W/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GDCTNWGN7OUG25UW32ZAN7HN3W/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GDCTNWGN7OUG25UW32ZAN7HN3W/action/storage_attestation","attest_author":"https://pith.science/pith/GDCTNWGN7OUG25UW32ZAN7HN3W/action/author_attestation","sign_citation":"https://pith.science/pith/GDCTNWGN7OUG25UW32ZAN7HN3W/action/citation_signature","submit_replication":"https://pith.science/pith/GDCTNWGN7OUG25UW32ZAN7HN3W/action/replication_record"}},"created_at":"2026-07-05T06:36:21.566180+00:00","updated_at":"2026-07-05T06:36:21.566180+00:00"}