{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:DP3ENPBZM3CBUUBGZIP4YQN67I","short_pith_number":"pith:DP3ENPBZ","schema_version":"1.0","canonical_sha256":"1bf646bc3966c41a5026ca1fcc41befa1cce53dc7a3b7412ef7606a3142f3bef","source":{"kind":"arxiv","id":"2507.22976","version":2},"attestation_state":"computed","paper":{"title":"Non-Local Conserved Currents and Continuous Non-Invertible Symmetries","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Adar Sharon, Diego Delmastro, Yunqin Zheng","submitted_at":"2025-07-30T18:00:00Z","abstract_excerpt":"We embark on a systematic study of continuous non-invertible symmetries, focusing on 1+1d CFTs. We describe a generalized version of Noether's theorem, where continuous non-invertible symmetries are associated to $\\textit{non-local}$ conserved currents: point-like operators attached to extended topological defects. The generalized Noether's theorem unifies several constructions of continuous non-invertible symmetries in the literature, and allows us to exhibit many more examples in diverse theories of interest. We first review known examples which are non-intrinsic (i.e., invertible up to gaug"},"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":"2507.22976","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-07-30T18:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"86d3c67b438f3d660e7dcdc96356c7e4e7a92468608e3b3a192074b7adbe122c","abstract_canon_sha256":"ceb2534aa2be2bd770f1d3ab96bea3b6a7e8493b7f27575ca12b90558c7eeb87"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:54:31.675933Z","signature_b64":"YU7zl9f4EKXLwMgpTeUR92c4LDfoCG30HElSmRX9xY6+9yT+AWUy/3LQwOM68ZTJzNgoIo5BPw3626HAYfNqBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1bf646bc3966c41a5026ca1fcc41befa1cce53dc7a3b7412ef7606a3142f3bef","last_reissued_at":"2026-07-05T11:54:31.675211Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:54:31.675211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-Local Conserved Currents and Continuous Non-Invertible Symmetries","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Adar Sharon, Diego Delmastro, Yunqin Zheng","submitted_at":"2025-07-30T18:00:00Z","abstract_excerpt":"We embark on a systematic study of continuous non-invertible symmetries, focusing on 1+1d CFTs. We describe a generalized version of Noether's theorem, where continuous non-invertible symmetries are associated to $\\textit{non-local}$ conserved currents: point-like operators attached to extended topological defects. The generalized Noether's theorem unifies several constructions of continuous non-invertible symmetries in the literature, and allows us to exhibit many more examples in diverse theories of interest. We first review known examples which are non-intrinsic (i.e., invertible up to gaug"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.22976","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/2507.22976/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":"2507.22976","created_at":"2026-07-05T11:54:31.675365+00:00"},{"alias_kind":"arxiv_version","alias_value":"2507.22976v2","created_at":"2026-07-05T11:54:31.675365+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.22976","created_at":"2026-07-05T11:54:31.675365+00:00"},{"alias_kind":"pith_short_12","alias_value":"DP3ENPBZM3CB","created_at":"2026-07-05T11:54:31.675365+00:00"},{"alias_kind":"pith_short_16","alias_value":"DP3ENPBZM3CBUUBG","created_at":"2026-07-05T11:54:31.675365+00:00"},{"alias_kind":"pith_short_8","alias_value":"DP3ENPBZ","created_at":"2026-07-05T11:54:31.675365+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":6,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.07786","citing_title":"Chiral Tube Algebras I: Topological Defect Lines, Twisted Modules, and Finite Gauging","ref_index":64,"is_internal_anchor":true},{"citing_arxiv_id":"2606.05279","citing_title":"Hypergroup Symmetry in Relative Quantum Field Theories and Chiral Algebras","ref_index":150,"is_internal_anchor":false},{"citing_arxiv_id":"2605.28485","citing_title":"Hilbert Space and Defect Hilbert Spaces Associated with Categorical Symmetries","ref_index":20,"is_internal_anchor":false},{"citing_arxiv_id":"2605.19363","citing_title":"Non-invertible Symmetries in Weyl Fermions, and Applications to Fermion-Boundary Scattering Problem","ref_index":13,"is_internal_anchor":false},{"citing_arxiv_id":"2511.11059","citing_title":"Generalizing quantum dimensions: Symmetry-based classification of local pseudo-Hermitian systems and the corresponding domain walls","ref_index":107,"is_internal_anchor":false},{"citing_arxiv_id":"2604.25821","citing_title":"Categorical Symmetries via Operator Algebras","ref_index":47,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DP3ENPBZM3CBUUBGZIP4YQN67I","json":"https://pith.science/pith/DP3ENPBZM3CBUUBGZIP4YQN67I.json","graph_json":"https://pith.science/api/pith-number/DP3ENPBZM3CBUUBGZIP4YQN67I/graph.json","events_json":"https://pith.science/api/pith-number/DP3ENPBZM3CBUUBGZIP4YQN67I/events.json","paper":"https://pith.science/paper/DP3ENPBZ"},"agent_actions":{"view_html":"https://pith.science/pith/DP3ENPBZM3CBUUBGZIP4YQN67I","download_json":"https://pith.science/pith/DP3ENPBZM3CBUUBGZIP4YQN67I.json","view_paper":"https://pith.science/paper/DP3ENPBZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2507.22976&json=true","fetch_graph":"https://pith.science/api/pith-number/DP3ENPBZM3CBUUBGZIP4YQN67I/graph.json","fetch_events":"https://pith.science/api/pith-number/DP3ENPBZM3CBUUBGZIP4YQN67I/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DP3ENPBZM3CBUUBGZIP4YQN67I/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DP3ENPBZM3CBUUBGZIP4YQN67I/action/storage_attestation","attest_author":"https://pith.science/pith/DP3ENPBZM3CBUUBGZIP4YQN67I/action/author_attestation","sign_citation":"https://pith.science/pith/DP3ENPBZM3CBUUBGZIP4YQN67I/action/citation_signature","submit_replication":"https://pith.science/pith/DP3ENPBZM3CBUUBGZIP4YQN67I/action/replication_record"}},"created_at":"2026-07-05T11:54:31.675365+00:00","updated_at":"2026-07-05T11:54:31.675365+00:00"}