{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:GKIRD3A5SIA6KRLBSNHEHLYBPW","short_pith_number":"pith:GKIRD3A5","schema_version":"1.0","canonical_sha256":"329111ec1d9201e54561934e43af017dad549276bba12eb24aedf7f1d405d863","source":{"kind":"arxiv","id":"2408.14556","version":1},"attestation_state":"computed","paper":{"title":"Non-invertible defects on the worldsheet","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Konstantinos Roumpedakis, Pierluigi Niro, Sriram Bharadwaj","submitted_at":"2024-08-26T18:13:06Z","abstract_excerpt":"We consider codimension-one defects in the theory of $d$ compact scalars on a two-dimensional worldsheet, acting linearly by mixing the scalars and their duals. By requiring that the defects are topological, we find that they correspond to a non-Abelian zero-form symmetry acting on the fields as elements of $\\text{O}(d;\\mathbb{R}) \\times \\text{O}(d;\\mathbb{R})$, and on momentum and winding charges as elements of $\\text{O}(d,d;\\mathbb{R})$. When the latter action is rational, we prove that it can be realized by combining gauging of non-anomalous discrete subgroups of the momentum and winding $\\"},"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":"2408.14556","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-08-26T18:13:06Z","cross_cats_sorted":[],"title_canon_sha256":"03ea1f19895497c7538f8ccebad491c223ec28c1cf496aa047a9d03b959178bc","abstract_canon_sha256":"b988eea213a1a606fc826203d013127619a2e7f2c66f7e40982a44ad179f9dea"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:59:35.512219Z","signature_b64":"6TEx5swwUbxZ4YGkfIpDVyQ7A7Ih/8gbBxAkjOwiWI+ZQoMXtWq4Fm9IgKFpezfwk0NQBOMdvrQiyh7kKbyVAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"329111ec1d9201e54561934e43af017dad549276bba12eb24aedf7f1d405d863","last_reissued_at":"2026-07-05T08:59:35.511876Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:59:35.511876Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-invertible defects on the worldsheet","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Konstantinos Roumpedakis, Pierluigi Niro, Sriram Bharadwaj","submitted_at":"2024-08-26T18:13:06Z","abstract_excerpt":"We consider codimension-one defects in the theory of $d$ compact scalars on a two-dimensional worldsheet, acting linearly by mixing the scalars and their duals. By requiring that the defects are topological, we find that they correspond to a non-Abelian zero-form symmetry acting on the fields as elements of $\\text{O}(d;\\mathbb{R}) \\times \\text{O}(d;\\mathbb{R})$, and on momentum and winding charges as elements of $\\text{O}(d,d;\\mathbb{R})$. When the latter action is rational, we prove that it can be realized by combining gauging of non-anomalous discrete subgroups of the momentum and winding $\\"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.14556","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/2408.14556/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":"2408.14556","created_at":"2026-07-05T08:59:35.511931+00:00"},{"alias_kind":"arxiv_version","alias_value":"2408.14556v1","created_at":"2026-07-05T08:59:35.511931+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.14556","created_at":"2026-07-05T08:59:35.511931+00:00"},{"alias_kind":"pith_short_12","alias_value":"GKIRD3A5SIA6","created_at":"2026-07-05T08:59:35.511931+00:00"},{"alias_kind":"pith_short_16","alias_value":"GKIRD3A5SIA6KRLB","created_at":"2026-07-05T08:59:35.511931+00:00"},{"alias_kind":"pith_short_8","alias_value":"GKIRD3A5","created_at":"2026-07-05T08:59:35.511931+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":6,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.07924","citing_title":"2-Group global symmetry in the compactified M2-brane","ref_index":4,"is_internal_anchor":true},{"citing_arxiv_id":"2605.30418","citing_title":"Hodge Loci and Complex Multiplication via Generalized Symmetries in Calabi-Yau sigma models","ref_index":48,"is_internal_anchor":false},{"citing_arxiv_id":"2511.00386","citing_title":"Conformal Bootstrap with Duality-Inspired Fusion Rule","ref_index":82,"is_internal_anchor":false},{"citing_arxiv_id":"2605.19925","citing_title":"Stringy T-duality on the lattice and the twisted Villain model","ref_index":23,"is_internal_anchor":false},{"citing_arxiv_id":"2605.13952","citing_title":"Non-Invertible Symmetries and Boundaries for Two-Dimensional Fermions","ref_index":34,"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":24,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GKIRD3A5SIA6KRLBSNHEHLYBPW","json":"https://pith.science/pith/GKIRD3A5SIA6KRLBSNHEHLYBPW.json","graph_json":"https://pith.science/api/pith-number/GKIRD3A5SIA6KRLBSNHEHLYBPW/graph.json","events_json":"https://pith.science/api/pith-number/GKIRD3A5SIA6KRLBSNHEHLYBPW/events.json","paper":"https://pith.science/paper/GKIRD3A5"},"agent_actions":{"view_html":"https://pith.science/pith/GKIRD3A5SIA6KRLBSNHEHLYBPW","download_json":"https://pith.science/pith/GKIRD3A5SIA6KRLBSNHEHLYBPW.json","view_paper":"https://pith.science/paper/GKIRD3A5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2408.14556&json=true","fetch_graph":"https://pith.science/api/pith-number/GKIRD3A5SIA6KRLBSNHEHLYBPW/graph.json","fetch_events":"https://pith.science/api/pith-number/GKIRD3A5SIA6KRLBSNHEHLYBPW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GKIRD3A5SIA6KRLBSNHEHLYBPW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GKIRD3A5SIA6KRLBSNHEHLYBPW/action/storage_attestation","attest_author":"https://pith.science/pith/GKIRD3A5SIA6KRLBSNHEHLYBPW/action/author_attestation","sign_citation":"https://pith.science/pith/GKIRD3A5SIA6KRLBSNHEHLYBPW/action/citation_signature","submit_replication":"https://pith.science/pith/GKIRD3A5SIA6KRLBSNHEHLYBPW/action/replication_record"}},"created_at":"2026-07-05T08:59:35.511931+00:00","updated_at":"2026-07-05T08:59:35.511931+00:00"}