{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:NI5IAS2YKKARYB3OLWNH2DNJU4","short_pith_number":"pith:NI5IAS2Y","schema_version":"1.0","canonical_sha256":"6a3a804b5852811c076e5d9a7d0da9a72b77eec5faca79a199b7061683d1db5c","source":{"kind":"arxiv","id":"2405.05331","version":3},"attestation_state":"computed","paper":{"title":"Quantum Phases and Transitions in Spin Chains with Non-Invertible Symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.str-el","authors_text":"Arkya Chatterjee, \\\"Omer M. Aksoy, Xiao-Gang Wen","submitted_at":"2024-05-08T18:04:10Z","abstract_excerpt":"Generalized symmetries often appear in the form of emergent symmetries in low energy effective descriptions of quantum many-body systems. Non-invertible symmetries are a particularly exotic class of generalized symmetries, in that they are implemented by transformations that do not form a group. Such symmetries appear in large families of gapless states of quantum matter and constrain their low-energy dynamics. To provide a UV-complete description of such symmetries, it is useful to construct lattice models that respect these symmetries exactly. In this paper, we discuss two families of one-di"},"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":"2405.05331","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2024-05-08T18:04:10Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"9cadff634dc39135810646f9d7dd555f44df42e524fe72990cb4155fb6c24c9d","abstract_canon_sha256":"171db5ca69675a2f2f64d49d4a57dffbdd4e97a3bf9c7c911d180070a9aa33d1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:20:43.163146Z","signature_b64":"EAMucWPWp2SrPedcrkHEEesDtf6ZAJGeI176QFCdNrnPpmB+z4KJQsk5V4nEc4I0lvGnmc1pmYmn6l/KtpILDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6a3a804b5852811c076e5d9a7d0da9a72b77eec5faca79a199b7061683d1db5c","last_reissued_at":"2026-07-05T09:20:43.162692Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:20:43.162692Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum Phases and Transitions in Spin Chains with Non-Invertible Symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.str-el","authors_text":"Arkya Chatterjee, \\\"Omer M. Aksoy, Xiao-Gang Wen","submitted_at":"2024-05-08T18:04:10Z","abstract_excerpt":"Generalized symmetries often appear in the form of emergent symmetries in low energy effective descriptions of quantum many-body systems. Non-invertible symmetries are a particularly exotic class of generalized symmetries, in that they are implemented by transformations that do not form a group. Such symmetries appear in large families of gapless states of quantum matter and constrain their low-energy dynamics. To provide a UV-complete description of such symmetries, it is useful to construct lattice models that respect these symmetries exactly. In this paper, we discuss two families of one-di"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.05331","kind":"arxiv","version":3},"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/2405.05331/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":"2405.05331","created_at":"2026-07-05T09:20:43.162752+00:00"},{"alias_kind":"arxiv_version","alias_value":"2405.05331v3","created_at":"2026-07-05T09:20:43.162752+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.05331","created_at":"2026-07-05T09:20:43.162752+00:00"},{"alias_kind":"pith_short_12","alias_value":"NI5IAS2YKKAR","created_at":"2026-07-05T09:20:43.162752+00:00"},{"alias_kind":"pith_short_16","alias_value":"NI5IAS2YKKARYB3O","created_at":"2026-07-05T09:20:43.162752+00:00"},{"alias_kind":"pith_short_8","alias_value":"NI5IAS2Y","created_at":"2026-07-05T09:20:43.162752+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":9,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.11527","citing_title":"Invariants of Sequential Circuits and Generalized Non-Abelian Statistics","ref_index":93,"is_internal_anchor":false},{"citing_arxiv_id":"2605.07734","citing_title":"Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries","ref_index":180,"is_internal_anchor":false},{"citing_arxiv_id":"2605.31601","citing_title":"Twin Phases: Intrinsic Deconfined Quantum Criticality","ref_index":16,"is_internal_anchor":false},{"citing_arxiv_id":"2605.31602","citing_title":"Twin Algebras: Condensable Algebras beyond Anyons","ref_index":31,"is_internal_anchor":false},{"citing_arxiv_id":"2405.05964","citing_title":"Lattice Models for Phases and Transitions with Non-Invertible Symmetries","ref_index":77,"is_internal_anchor":false},{"citing_arxiv_id":"2508.08639","citing_title":"Extending fusion rules with finite subgroups: A general construction of $Z_{N}$ extended conformal field theories and their orbifoldings","ref_index":232,"is_internal_anchor":false},{"citing_arxiv_id":"2605.07734","citing_title":"Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries","ref_index":186,"is_internal_anchor":false},{"citing_arxiv_id":"2604.20201","citing_title":"Symmetry breaking phases and transitions in an Ising fusion category lattice model","ref_index":38,"is_internal_anchor":false},{"citing_arxiv_id":"2605.07734","citing_title":"Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries","ref_index":183,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/NI5IAS2YKKARYB3OLWNH2DNJU4","json":"https://pith.science/pith/NI5IAS2YKKARYB3OLWNH2DNJU4.json","graph_json":"https://pith.science/api/pith-number/NI5IAS2YKKARYB3OLWNH2DNJU4/graph.json","events_json":"https://pith.science/api/pith-number/NI5IAS2YKKARYB3OLWNH2DNJU4/events.json","paper":"https://pith.science/paper/NI5IAS2Y"},"agent_actions":{"view_html":"https://pith.science/pith/NI5IAS2YKKARYB3OLWNH2DNJU4","download_json":"https://pith.science/pith/NI5IAS2YKKARYB3OLWNH2DNJU4.json","view_paper":"https://pith.science/paper/NI5IAS2Y","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2405.05331&json=true","fetch_graph":"https://pith.science/api/pith-number/NI5IAS2YKKARYB3OLWNH2DNJU4/graph.json","fetch_events":"https://pith.science/api/pith-number/NI5IAS2YKKARYB3OLWNH2DNJU4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NI5IAS2YKKARYB3OLWNH2DNJU4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NI5IAS2YKKARYB3OLWNH2DNJU4/action/storage_attestation","attest_author":"https://pith.science/pith/NI5IAS2YKKARYB3OLWNH2DNJU4/action/author_attestation","sign_citation":"https://pith.science/pith/NI5IAS2YKKARYB3OLWNH2DNJU4/action/citation_signature","submit_replication":"https://pith.science/pith/NI5IAS2YKKARYB3OLWNH2DNJU4/action/replication_record"}},"created_at":"2026-07-05T09:20:43.162752+00:00","updated_at":"2026-07-05T09:20:43.162752+00:00"}