{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:OS6BSGNTLIZWANE6QLVBHG6PF5","short_pith_number":"pith:OS6BSGNT","schema_version":"1.0","canonical_sha256":"74bc1919b35a3360349e82ea139bcf2f61f4ba5c5f8363c850945bda2d7ffdcb","source":{"kind":"arxiv","id":"2502.12997","version":2},"attestation_state":"computed","paper":{"title":"U(1) Gauging, Continuous TQFTs, and Higher Symmetry Structures","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Adrien Arbalestrier, Luigi Tizzano, Riccardo Argurio","submitted_at":"2025-02-18T16:18:37Z","abstract_excerpt":"Quantum field theories can exhibit various generalized symmetry structures, among which higher-group symmetries and non-invertible symmetry defects are particularly prominent. In this work, we explore a new general scenario in which these two structures are intertwined. This phenomenon arises in four dimensions when gauging one of multiple $U(1)$ 0-form symmetries in the presence of mixed 't Hooft anomalies. We illustrate this with two distinct models that flow to an IR gapless phase and a gapped phase, respectively, and examine how this symmetry structure manifests in each case. Additionally,"},"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":"2502.12997","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-02-18T16:18:37Z","cross_cats_sorted":[],"title_canon_sha256":"d203346c45ce80727346bc7e42fa26e4d5b3816d4fe874f2dace3f2497e5c59e","abstract_canon_sha256":"3e44953adf7b36d38f4a5346f083bbb6b853aaef89efca56906e20d770dba9be"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:52:47.007116Z","signature_b64":"a030DVUpFCpTmtkTMzRRD1swlHl5kAh5uidlqhOg7lmRd6uO4ZQ5OjKWo7r5ennjQpkRVTRKYo2wrm7p7yXoDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"74bc1919b35a3360349e82ea139bcf2f61f4ba5c5f8363c850945bda2d7ffdcb","last_reissued_at":"2026-07-05T11:52:47.006609Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:52:47.006609Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"U(1) Gauging, Continuous TQFTs, and Higher Symmetry Structures","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Adrien Arbalestrier, Luigi Tizzano, Riccardo Argurio","submitted_at":"2025-02-18T16:18:37Z","abstract_excerpt":"Quantum field theories can exhibit various generalized symmetry structures, among which higher-group symmetries and non-invertible symmetry defects are particularly prominent. In this work, we explore a new general scenario in which these two structures are intertwined. This phenomenon arises in four dimensions when gauging one of multiple $U(1)$ 0-form symmetries in the presence of mixed 't Hooft anomalies. We illustrate this with two distinct models that flow to an IR gapless phase and a gapped phase, respectively, and examine how this symmetry structure manifests in each case. Additionally,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.12997","kind":"arxiv","version":2},"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/2502.12997/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":"2502.12997","created_at":"2026-07-05T11:52:47.006663+00:00"},{"alias_kind":"arxiv_version","alias_value":"2502.12997v2","created_at":"2026-07-05T11:52:47.006663+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.12997","created_at":"2026-07-05T11:52:47.006663+00:00"},{"alias_kind":"pith_short_12","alias_value":"OS6BSGNTLIZW","created_at":"2026-07-05T11:52:47.006663+00:00"},{"alias_kind":"pith_short_16","alias_value":"OS6BSGNTLIZWANE6","created_at":"2026-07-05T11:52:47.006663+00:00"},{"alias_kind":"pith_short_8","alias_value":"OS6BSGNT","created_at":"2026-07-05T11:52:47.006663+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.12560","citing_title":"The state/defect correspondence","ref_index":41,"is_internal_anchor":false},{"citing_arxiv_id":"2605.06287","citing_title":"Half-Spacetime Gauging of 2-Group Symmetry in 3d","ref_index":33,"is_internal_anchor":false},{"citing_arxiv_id":"2605.06287","citing_title":"Half-Spacetime Gauging of 2-Group Symmetry in 3d","ref_index":29,"is_internal_anchor":false},{"citing_arxiv_id":"2604.09126","citing_title":"Lattice Realizations of Flat Gauging and T-duality Defects at Any Radius","ref_index":12,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OS6BSGNTLIZWANE6QLVBHG6PF5","json":"https://pith.science/pith/OS6BSGNTLIZWANE6QLVBHG6PF5.json","graph_json":"https://pith.science/api/pith-number/OS6BSGNTLIZWANE6QLVBHG6PF5/graph.json","events_json":"https://pith.science/api/pith-number/OS6BSGNTLIZWANE6QLVBHG6PF5/events.json","paper":"https://pith.science/paper/OS6BSGNT"},"agent_actions":{"view_html":"https://pith.science/pith/OS6BSGNTLIZWANE6QLVBHG6PF5","download_json":"https://pith.science/pith/OS6BSGNTLIZWANE6QLVBHG6PF5.json","view_paper":"https://pith.science/paper/OS6BSGNT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2502.12997&json=true","fetch_graph":"https://pith.science/api/pith-number/OS6BSGNTLIZWANE6QLVBHG6PF5/graph.json","fetch_events":"https://pith.science/api/pith-number/OS6BSGNTLIZWANE6QLVBHG6PF5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OS6BSGNTLIZWANE6QLVBHG6PF5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OS6BSGNTLIZWANE6QLVBHG6PF5/action/storage_attestation","attest_author":"https://pith.science/pith/OS6BSGNTLIZWANE6QLVBHG6PF5/action/author_attestation","sign_citation":"https://pith.science/pith/OS6BSGNTLIZWANE6QLVBHG6PF5/action/citation_signature","submit_replication":"https://pith.science/pith/OS6BSGNTLIZWANE6QLVBHG6PF5/action/replication_record"}},"created_at":"2026-07-05T11:52:47.006663+00:00","updated_at":"2026-07-05T11:52:47.006663+00:00"}