{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:O6ZKXG3HF3K6SJOWKPVQGVWUTV","short_pith_number":"pith:O6ZKXG3H","schema_version":"1.0","canonical_sha256":"77b2ab9b672ed5e925d653eb0356d49d63c71f75abf63d5fc2b721b4bfc7d560","source":{"kind":"arxiv","id":"1802.04790","version":1},"attestation_state":"computed","paper":{"title":"Exploring 2-Group Global Symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"hep-th","authors_text":"Clay Cordova, Kenneth Intriligator, Thomas T. Dumitrescu","submitted_at":"2018-02-13T18:48:25Z","abstract_excerpt":"We analyze four-dimensional quantum field theories with continuous 2-group global symmetries. At the level of their charges such symmetries are identical to a product of continuous flavor or spacetime symmetries with a 1-form global symmetry $U(1)^{(1)}_B$, which arises from a conserved 2-form current $J_B^{(2)}$. Rather, 2-group symmetries are characterized by deformed current algebras, with quantized structure constants, which allow two flavor currents or stress tensors to fuse into $J_B^{(2)}$. This leads to unconventional Ward identities, which constrain the allowed patterns of spontaneous"},"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":"1802.04790","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-02-13T18:48:25Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"f7c512156ea0f4bf6c1bb50440ad429bf467fb5b1458d7d58a7dfeaea82e1337","abstract_canon_sha256":"85b3b10986f3db4cf70de9152b09e73741e09acca0742b7200850259994e7e88"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:50:16.130097Z","signature_b64":"iXkNDFAb/dvI3cHrDlw7zVbd/ScI63Wwk8bTYhLt9DImv3JLUdGpQq/yGPSiKGPp9qlpoY0BBLGN1QF2uIFfBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"77b2ab9b672ed5e925d653eb0356d49d63c71f75abf63d5fc2b721b4bfc7d560","last_reissued_at":"2026-05-17T23:50:16.129358Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:50:16.129358Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exploring 2-Group Global Symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"hep-th","authors_text":"Clay Cordova, Kenneth Intriligator, Thomas T. Dumitrescu","submitted_at":"2018-02-13T18:48:25Z","abstract_excerpt":"We analyze four-dimensional quantum field theories with continuous 2-group global symmetries. At the level of their charges such symmetries are identical to a product of continuous flavor or spacetime symmetries with a 1-form global symmetry $U(1)^{(1)}_B$, which arises from a conserved 2-form current $J_B^{(2)}$. Rather, 2-group symmetries are characterized by deformed current algebras, with quantized structure constants, which allow two flavor currents or stress tensors to fuse into $J_B^{(2)}$. This leads to unconventional Ward identities, which constrain the allowed patterns of spontaneous"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.04790","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":""},"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":"1802.04790","created_at":"2026-05-17T23:50:16.129473+00:00"},{"alias_kind":"arxiv_version","alias_value":"1802.04790v1","created_at":"2026-05-17T23:50:16.129473+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.04790","created_at":"2026-05-17T23:50:16.129473+00:00"},{"alias_kind":"pith_short_12","alias_value":"O6ZKXG3HF3K6","created_at":"2026-05-18T12:32:43.782077+00:00"},{"alias_kind":"pith_short_16","alias_value":"O6ZKXG3HF3K6SJOW","created_at":"2026-05-18T12:32:43.782077+00:00"},{"alias_kind":"pith_short_8","alias_value":"O6ZKXG3H","created_at":"2026-05-18T12:32:43.782077+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":17,"internal_anchor_count":13,"sample":[{"citing_arxiv_id":"2111.01139","citing_title":"Non-Invertible Duality Defects in 3+1 Dimensions","ref_index":3,"is_internal_anchor":true},{"citing_arxiv_id":"2112.02092","citing_title":"Symmetry TFTs from String Theory","ref_index":4,"is_internal_anchor":true},{"citing_arxiv_id":"2209.07471","citing_title":"Topological symmetry in quantum field theory","ref_index":20,"is_internal_anchor":true},{"citing_arxiv_id":"2308.00747","citing_title":"What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries","ref_index":208,"is_internal_anchor":true},{"citing_arxiv_id":"2205.09545","citing_title":"Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond","ref_index":58,"is_internal_anchor":true},{"citing_arxiv_id":"2602.12648","citing_title":"3-Crossed Module Structure in the Five-Dimensional Topological Axion Electrodynamics","ref_index":18,"is_internal_anchor":true},{"citing_arxiv_id":"2605.18952","citing_title":"A missing link: Brane networks and the Cobordism Conjecture","ref_index":64,"is_internal_anchor":true},{"citing_arxiv_id":"2510.18689","citing_title":"Modulated symmetries from generalized Lieb-Schultz-Mattis anomalies","ref_index":59,"is_internal_anchor":true},{"citing_arxiv_id":"2511.15783","citing_title":"Automorphism in Gauge Theories: Higher Symmetries and Transversal Non-Clifford Logical Gates","ref_index":32,"is_internal_anchor":true},{"citing_arxiv_id":"2307.07547","citing_title":"Lectures on Generalized Symmetries","ref_index":183,"is_internal_anchor":true},{"citing_arxiv_id":"2305.18296","citing_title":"ICTP Lectures on (Non-)Invertible Generalized Symmetries","ref_index":94,"is_internal_anchor":true},{"citing_arxiv_id":"2602.09105","citing_title":"Generalized Families of QFTs","ref_index":96,"is_internal_anchor":true},{"citing_arxiv_id":"2605.12601","citing_title":"Lattice Gauging Interfaces and Noninvertible Defects in Higher Dimensions","ref_index":4,"is_internal_anchor":true},{"citing_arxiv_id":"2604.02856","citing_title":"Type-IV 't Hooft Anomalies on the Lattice: Emergent Higher-Categorical Symmetries and Applications to LSM Systems","ref_index":9,"is_internal_anchor":false},{"citing_arxiv_id":"2604.25821","citing_title":"Categorical Symmetries via Operator Algebras","ref_index":125,"is_internal_anchor":false},{"citing_arxiv_id":"2605.06287","citing_title":"Half-Spacetime Gauging of 2-Group Symmetry in 3d","ref_index":24,"is_internal_anchor":false},{"citing_arxiv_id":"2604.06307","citing_title":"Lattice chiral symmetry from bosons in 3+1d","ref_index":42,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/O6ZKXG3HF3K6SJOWKPVQGVWUTV","json":"https://pith.science/pith/O6ZKXG3HF3K6SJOWKPVQGVWUTV.json","graph_json":"https://pith.science/api/pith-number/O6ZKXG3HF3K6SJOWKPVQGVWUTV/graph.json","events_json":"https://pith.science/api/pith-number/O6ZKXG3HF3K6SJOWKPVQGVWUTV/events.json","paper":"https://pith.science/paper/O6ZKXG3H"},"agent_actions":{"view_html":"https://pith.science/pith/O6ZKXG3HF3K6SJOWKPVQGVWUTV","download_json":"https://pith.science/pith/O6ZKXG3HF3K6SJOWKPVQGVWUTV.json","view_paper":"https://pith.science/paper/O6ZKXG3H","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1802.04790&json=true","fetch_graph":"https://pith.science/api/pith-number/O6ZKXG3HF3K6SJOWKPVQGVWUTV/graph.json","fetch_events":"https://pith.science/api/pith-number/O6ZKXG3HF3K6SJOWKPVQGVWUTV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/O6ZKXG3HF3K6SJOWKPVQGVWUTV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/O6ZKXG3HF3K6SJOWKPVQGVWUTV/action/storage_attestation","attest_author":"https://pith.science/pith/O6ZKXG3HF3K6SJOWKPVQGVWUTV/action/author_attestation","sign_citation":"https://pith.science/pith/O6ZKXG3HF3K6SJOWKPVQGVWUTV/action/citation_signature","submit_replication":"https://pith.science/pith/O6ZKXG3HF3K6SJOWKPVQGVWUTV/action/replication_record"}},"created_at":"2026-05-17T23:50:16.129473+00:00","updated_at":"2026-05-17T23:50:16.129473+00:00"}