{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:LL32MIMTMPL6G5AIYJNLNE6TPV","short_pith_number":"pith:LL32MIMT","schema_version":"1.0","canonical_sha256":"5af7a6219363d7e37408c25ab693d37d6645b78a228a3d8c4634071edbc11e4f","source":{"kind":"arxiv","id":"2306.01414","version":2},"attestation_state":"computed","paper":{"title":"When $\\mathbb{Z}_2$ one-form symmetry leads to non-invertible axial symmetries","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Riccardo Argurio, Romain Vandepopeliere","submitted_at":"2023-06-02T10:04:56Z","abstract_excerpt":"We study non-abelian gauge theories with fermions in a representation such that the surviving electric 1-form symmetry is $\\mathbb{Z}_2$. This includes $SU(N)$ gauge theories with matter in the (anti)symmetric and $N$ even, and $USp(2N)$ with a Weyl fermion in the adjoint, i.e. ${\\cal N}=1$ SYM. We study the mixed 't Hooft anomaly between the discrete axial symmetry and the 1-form symmetry and show that when it is non-trivial, it leads to non-invertible symmetries upon gauging the $\\mathbb{Z}_2$. The TQFT dressing the non-invertible symmetry defects is universal to all the cases we study, name"},"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":"2306.01414","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-06-02T10:04:56Z","cross_cats_sorted":[],"title_canon_sha256":"669bdf9d1ea86c9dbb0bcc5e64386b581b4599b83827b7a6ae0934b84393d5b0","abstract_canon_sha256":"f8106f14efa4f178dcde4aa79fe611406a6f5d5aed3467fa91104cb6d3d47ae4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:50:55.658557Z","signature_b64":"1o41xkM9j+02g4YD8dac/+9RiMzWQzpJ07zJHypYT7LuW3qsmMUxoqG9sXLH+aC3A4wYxxHheJxon3zLv7oyCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5af7a6219363d7e37408c25ab693d37d6645b78a228a3d8c4634071edbc11e4f","last_reissued_at":"2026-07-05T06:50:55.658066Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:50:55.658066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"When $\\mathbb{Z}_2$ one-form symmetry leads to non-invertible axial symmetries","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Riccardo Argurio, Romain Vandepopeliere","submitted_at":"2023-06-02T10:04:56Z","abstract_excerpt":"We study non-abelian gauge theories with fermions in a representation such that the surviving electric 1-form symmetry is $\\mathbb{Z}_2$. This includes $SU(N)$ gauge theories with matter in the (anti)symmetric and $N$ even, and $USp(2N)$ with a Weyl fermion in the adjoint, i.e. ${\\cal N}=1$ SYM. We study the mixed 't Hooft anomaly between the discrete axial symmetry and the 1-form symmetry and show that when it is non-trivial, it leads to non-invertible symmetries upon gauging the $\\mathbb{Z}_2$. The TQFT dressing the non-invertible symmetry defects is universal to all the cases we study, name"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.01414","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/2306.01414/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":"2306.01414","created_at":"2026-07-05T06:50:55.658123+00:00"},{"alias_kind":"arxiv_version","alias_value":"2306.01414v2","created_at":"2026-07-05T06:50:55.658123+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.01414","created_at":"2026-07-05T06:50:55.658123+00:00"},{"alias_kind":"pith_short_12","alias_value":"LL32MIMTMPL6","created_at":"2026-07-05T06:50:55.658123+00:00"},{"alias_kind":"pith_short_16","alias_value":"LL32MIMTMPL6G5AI","created_at":"2026-07-05T06:50:55.658123+00:00"},{"alias_kind":"pith_short_8","alias_value":"LL32MIMT","created_at":"2026-07-05T06:50:55.658123+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2308.00747","citing_title":"What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries","ref_index":126,"is_internal_anchor":false},{"citing_arxiv_id":"2604.18702","citing_title":"Confinement in a finite duality cascade","ref_index":24,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/LL32MIMTMPL6G5AIYJNLNE6TPV","json":"https://pith.science/pith/LL32MIMTMPL6G5AIYJNLNE6TPV.json","graph_json":"https://pith.science/api/pith-number/LL32MIMTMPL6G5AIYJNLNE6TPV/graph.json","events_json":"https://pith.science/api/pith-number/LL32MIMTMPL6G5AIYJNLNE6TPV/events.json","paper":"https://pith.science/paper/LL32MIMT"},"agent_actions":{"view_html":"https://pith.science/pith/LL32MIMTMPL6G5AIYJNLNE6TPV","download_json":"https://pith.science/pith/LL32MIMTMPL6G5AIYJNLNE6TPV.json","view_paper":"https://pith.science/paper/LL32MIMT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2306.01414&json=true","fetch_graph":"https://pith.science/api/pith-number/LL32MIMTMPL6G5AIYJNLNE6TPV/graph.json","fetch_events":"https://pith.science/api/pith-number/LL32MIMTMPL6G5AIYJNLNE6TPV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LL32MIMTMPL6G5AIYJNLNE6TPV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LL32MIMTMPL6G5AIYJNLNE6TPV/action/storage_attestation","attest_author":"https://pith.science/pith/LL32MIMTMPL6G5AIYJNLNE6TPV/action/author_attestation","sign_citation":"https://pith.science/pith/LL32MIMTMPL6G5AIYJNLNE6TPV/action/citation_signature","submit_replication":"https://pith.science/pith/LL32MIMTMPL6G5AIYJNLNE6TPV/action/replication_record"}},"created_at":"2026-07-05T06:50:55.658123+00:00","updated_at":"2026-07-05T06:50:55.658123+00:00"}