{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:GQTFAJQUEZOEX6CVMKBD75BYNP","short_pith_number":"pith:GQTFAJQU","schema_version":"1.0","canonical_sha256":"3426502614265c4bf85562823ff4386bd1f5efd846cfb1bd170dba3b9c709dd7","source":{"kind":"arxiv","id":"1511.08523","version":3},"attestation_state":"computed","paper":{"title":"CSOS models descending from chiral Potts models: Degeneracy of the eigenspace and loop algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.MP"],"primary_cat":"math-ph","authors_text":"Helen Au-Yang, Jacques H.H. Perk","submitted_at":"2015-11-26T22:30:27Z","abstract_excerpt":"Monodromy matrices of the $\\tau_2$ model are known to satisfy a Yang--Baxter equation with a six-vertex $R$-matrix as the intertwiner. The commutation relations of the elements of the monodromy matrices are completely determined by this $R$-matrix. We show the reason why in the superintegrable case the eigenspace is degenerate, but not in the general case. We then show that the eigenspaces of special CSOS models descending from the chiral Potts model are also degenerate. The existence of an $L({\\mathfrak{sl}}_2)$ quantum loop algebra (or subalgebra) in these models is established by showing th"},"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":"1511.08523","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-11-26T22:30:27Z","cross_cats_sorted":["cond-mat.stat-mech","math.MP"],"title_canon_sha256":"39d510e4d5358a911f18ab8f53194dc5e113ccb73741a973dd5ac213b63b009b","abstract_canon_sha256":"a48ce5fc7dcaa212ca615fd0308f90d86feb8a4b0d60fa8b2eb9b3b83ff792fe"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:36.740420Z","signature_b64":"ES/D/bPlMayqvP/IpmVJ+I4CZ9T3xbqj34EMDSLxQT/fkEBm6Pwl2IGbJGVoZnB8zkZrh3dvkkpB/wN0gmbYBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3426502614265c4bf85562823ff4386bd1f5efd846cfb1bd170dba3b9c709dd7","last_reissued_at":"2026-05-18T01:21:36.739819Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:36.739819Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"CSOS models descending from chiral Potts models: Degeneracy of the eigenspace and loop algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.MP"],"primary_cat":"math-ph","authors_text":"Helen Au-Yang, Jacques H.H. Perk","submitted_at":"2015-11-26T22:30:27Z","abstract_excerpt":"Monodromy matrices of the $\\tau_2$ model are known to satisfy a Yang--Baxter equation with a six-vertex $R$-matrix as the intertwiner. The commutation relations of the elements of the monodromy matrices are completely determined by this $R$-matrix. We show the reason why in the superintegrable case the eigenspace is degenerate, but not in the general case. We then show that the eigenspaces of special CSOS models descending from the chiral Potts model are also degenerate. The existence of an $L({\\mathfrak{sl}}_2)$ quantum loop algebra (or subalgebra) in these models is established by showing th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.08523","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":""},"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":"1511.08523","created_at":"2026-05-18T01:21:36.739954+00:00"},{"alias_kind":"arxiv_version","alias_value":"1511.08523v3","created_at":"2026-05-18T01:21:36.739954+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.08523","created_at":"2026-05-18T01:21:36.739954+00:00"},{"alias_kind":"pith_short_12","alias_value":"GQTFAJQUEZOE","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_16","alias_value":"GQTFAJQUEZOEX6CV","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_8","alias_value":"GQTFAJQU","created_at":"2026-05-18T12:29:22.688609+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GQTFAJQUEZOEX6CVMKBD75BYNP","json":"https://pith.science/pith/GQTFAJQUEZOEX6CVMKBD75BYNP.json","graph_json":"https://pith.science/api/pith-number/GQTFAJQUEZOEX6CVMKBD75BYNP/graph.json","events_json":"https://pith.science/api/pith-number/GQTFAJQUEZOEX6CVMKBD75BYNP/events.json","paper":"https://pith.science/paper/GQTFAJQU"},"agent_actions":{"view_html":"https://pith.science/pith/GQTFAJQUEZOEX6CVMKBD75BYNP","download_json":"https://pith.science/pith/GQTFAJQUEZOEX6CVMKBD75BYNP.json","view_paper":"https://pith.science/paper/GQTFAJQU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1511.08523&json=true","fetch_graph":"https://pith.science/api/pith-number/GQTFAJQUEZOEX6CVMKBD75BYNP/graph.json","fetch_events":"https://pith.science/api/pith-number/GQTFAJQUEZOEX6CVMKBD75BYNP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GQTFAJQUEZOEX6CVMKBD75BYNP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GQTFAJQUEZOEX6CVMKBD75BYNP/action/storage_attestation","attest_author":"https://pith.science/pith/GQTFAJQUEZOEX6CVMKBD75BYNP/action/author_attestation","sign_citation":"https://pith.science/pith/GQTFAJQUEZOEX6CVMKBD75BYNP/action/citation_signature","submit_replication":"https://pith.science/pith/GQTFAJQUEZOEX6CVMKBD75BYNP/action/replication_record"}},"created_at":"2026-05-18T01:21:36.739954+00:00","updated_at":"2026-05-18T01:21:36.739954+00:00"}