{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:IJQYCRHITTWD2H74T3NMTBVH3B","short_pith_number":"pith:IJQYCRHI","schema_version":"1.0","canonical_sha256":"42618144e89cec3d1ffc9edac986a7d84e33db697430d109ad701261308cd883","source":{"kind":"arxiv","id":"2104.06269","version":2},"attestation_state":"computed","paper":{"title":"Density matrices in integrable face models","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Daniel Westerfeld, Holger Frahm","submitted_at":"2021-04-13T15:01:25Z","abstract_excerpt":"Using the properties of the local Boltzmann weights of integrable interaction-round-a-face (IRF or face) models we express local operators in terms of generalized transfer matrices. This allows for the derivation of discrete functional equations for the reduced density matrices in inhomogeneous generalizations of these models. We apply these equations to study the density matrices for IRF models of various solid-on-solid type and quantum chains of non-Abelian $\\bm{su(2)_3}$ or Fibonacci anyons. Similar as in the six vertex model we find that reduced density matrices for a sequence of consecuti"},"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":"2104.06269","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2021-04-13T15:01:25Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"b69a897e28df438d9238e18a475fd878ae550c0d1a52f43767a31c5c885a05a2","abstract_canon_sha256":"9a341c2ff7393b0678da491f2cbe98d9d9aa15ad51ffe9448dff0cc8cc9c48bc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:14:13.903613Z","signature_b64":"OBj4gzIeGRbVR7Jp41ObQwcx/es6kKt9EZA9l6jZx3vLAf+euf23AS+AdBSEIV0EGzqCWZZzlV3riIf/JQH1Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42618144e89cec3d1ffc9edac986a7d84e33db697430d109ad701261308cd883","last_reissued_at":"2026-07-05T03:14:13.903170Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:14:13.903170Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Density matrices in integrable face models","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Daniel Westerfeld, Holger Frahm","submitted_at":"2021-04-13T15:01:25Z","abstract_excerpt":"Using the properties of the local Boltzmann weights of integrable interaction-round-a-face (IRF or face) models we express local operators in terms of generalized transfer matrices. This allows for the derivation of discrete functional equations for the reduced density matrices in inhomogeneous generalizations of these models. We apply these equations to study the density matrices for IRF models of various solid-on-solid type and quantum chains of non-Abelian $\\bm{su(2)_3}$ or Fibonacci anyons. Similar as in the six vertex model we find that reduced density matrices for a sequence of consecuti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.06269","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/2104.06269/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":"2104.06269","created_at":"2026-07-05T03:14:13.903228+00:00"},{"alias_kind":"arxiv_version","alias_value":"2104.06269v2","created_at":"2026-07-05T03:14:13.903228+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.06269","created_at":"2026-07-05T03:14:13.903228+00:00"},{"alias_kind":"pith_short_12","alias_value":"IJQYCRHITTWD","created_at":"2026-07-05T03:14:13.903228+00:00"},{"alias_kind":"pith_short_16","alias_value":"IJQYCRHITTWD2H74","created_at":"2026-07-05T03:14:13.903228+00:00"},{"alias_kind":"pith_short_8","alias_value":"IJQYCRHI","created_at":"2026-07-05T03:14:13.903228+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2509.04257","citing_title":"Integrability and lattice discretizations of all Topological Defect Lines in minimal CFTs","ref_index":35,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IJQYCRHITTWD2H74T3NMTBVH3B","json":"https://pith.science/pith/IJQYCRHITTWD2H74T3NMTBVH3B.json","graph_json":"https://pith.science/api/pith-number/IJQYCRHITTWD2H74T3NMTBVH3B/graph.json","events_json":"https://pith.science/api/pith-number/IJQYCRHITTWD2H74T3NMTBVH3B/events.json","paper":"https://pith.science/paper/IJQYCRHI"},"agent_actions":{"view_html":"https://pith.science/pith/IJQYCRHITTWD2H74T3NMTBVH3B","download_json":"https://pith.science/pith/IJQYCRHITTWD2H74T3NMTBVH3B.json","view_paper":"https://pith.science/paper/IJQYCRHI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2104.06269&json=true","fetch_graph":"https://pith.science/api/pith-number/IJQYCRHITTWD2H74T3NMTBVH3B/graph.json","fetch_events":"https://pith.science/api/pith-number/IJQYCRHITTWD2H74T3NMTBVH3B/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IJQYCRHITTWD2H74T3NMTBVH3B/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IJQYCRHITTWD2H74T3NMTBVH3B/action/storage_attestation","attest_author":"https://pith.science/pith/IJQYCRHITTWD2H74T3NMTBVH3B/action/author_attestation","sign_citation":"https://pith.science/pith/IJQYCRHITTWD2H74T3NMTBVH3B/action/citation_signature","submit_replication":"https://pith.science/pith/IJQYCRHITTWD2H74T3NMTBVH3B/action/replication_record"}},"created_at":"2026-07-05T03:14:13.903228+00:00","updated_at":"2026-07-05T03:14:13.903228+00:00"}