{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:ZVCKXVT7TEEIYP3T4U4FBYENZJ","short_pith_number":"pith:ZVCKXVT7","schema_version":"1.0","canonical_sha256":"cd44abd67f99088c3f73e53850e08dca4e5067c7d8d98837494938f789aa2c31","source":{"kind":"arxiv","id":"1208.0809","version":3},"attestation_state":"computed","paper":{"title":"On Affine Fusion and the Phase Model","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Mark A. Walton","submitted_at":"2012-08-03T18:22:57Z","abstract_excerpt":"A brief review is given of the integrable realization of affine fusion discovered recently by Korff and Stroppel. They showed that the affine fusion of the $su(n)$ Wess-Zumino-Novikov-Witten (WZNW) conformal field theories appears in a simple integrable system known as the phase model. The Yang-Baxter equation leads to the construction of commuting operators as Schur polynomials, with noncommuting hopping operators as arguments. The algebraic Bethe ansatz diagonalizes them, revealing a connection to the modular S matrix and fusion of the $su(n)$ WZNW model. The noncommutative Schur polynomials"},"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":"1208.0809","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"hep-th","submitted_at":"2012-08-03T18:22:57Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"0703a3dc064bca66e4c6fc7552cee41e39930150621dd7cae2c31633e483e4c1","abstract_canon_sha256":"230b69cdac0d9065c0118a5a01c9ecc4d44641c63e4579f5a78caff47265a7cd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:40:49.149229Z","signature_b64":"UUML7xJLBu2RlRLK2E+g7yrcU4PApcs8xOSOs6m6Ia8iol6Hzf3ODKxJEA1OYfE3I/QlWeO3auRUMiQaoAt8BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cd44abd67f99088c3f73e53850e08dca4e5067c7d8d98837494938f789aa2c31","last_reissued_at":"2026-05-18T03:40:49.148441Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:40:49.148441Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Affine Fusion and the Phase Model","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Mark A. Walton","submitted_at":"2012-08-03T18:22:57Z","abstract_excerpt":"A brief review is given of the integrable realization of affine fusion discovered recently by Korff and Stroppel. They showed that the affine fusion of the $su(n)$ Wess-Zumino-Novikov-Witten (WZNW) conformal field theories appears in a simple integrable system known as the phase model. The Yang-Baxter equation leads to the construction of commuting operators as Schur polynomials, with noncommuting hopping operators as arguments. The algebraic Bethe ansatz diagonalizes them, revealing a connection to the modular S matrix and fusion of the $su(n)$ WZNW model. The noncommutative Schur polynomials"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.0809","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":"1208.0809","created_at":"2026-05-18T03:40:49.148562+00:00"},{"alias_kind":"arxiv_version","alias_value":"1208.0809v3","created_at":"2026-05-18T03:40:49.148562+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.0809","created_at":"2026-05-18T03:40:49.148562+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZVCKXVT7TEEI","created_at":"2026-05-18T12:27:30.460161+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZVCKXVT7TEEIYP3T","created_at":"2026-05-18T12:27:30.460161+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZVCKXVT7","created_at":"2026-05-18T12:27:30.460161+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/ZVCKXVT7TEEIYP3T4U4FBYENZJ","json":"https://pith.science/pith/ZVCKXVT7TEEIYP3T4U4FBYENZJ.json","graph_json":"https://pith.science/api/pith-number/ZVCKXVT7TEEIYP3T4U4FBYENZJ/graph.json","events_json":"https://pith.science/api/pith-number/ZVCKXVT7TEEIYP3T4U4FBYENZJ/events.json","paper":"https://pith.science/paper/ZVCKXVT7"},"agent_actions":{"view_html":"https://pith.science/pith/ZVCKXVT7TEEIYP3T4U4FBYENZJ","download_json":"https://pith.science/pith/ZVCKXVT7TEEIYP3T4U4FBYENZJ.json","view_paper":"https://pith.science/paper/ZVCKXVT7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1208.0809&json=true","fetch_graph":"https://pith.science/api/pith-number/ZVCKXVT7TEEIYP3T4U4FBYENZJ/graph.json","fetch_events":"https://pith.science/api/pith-number/ZVCKXVT7TEEIYP3T4U4FBYENZJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZVCKXVT7TEEIYP3T4U4FBYENZJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZVCKXVT7TEEIYP3T4U4FBYENZJ/action/storage_attestation","attest_author":"https://pith.science/pith/ZVCKXVT7TEEIYP3T4U4FBYENZJ/action/author_attestation","sign_citation":"https://pith.science/pith/ZVCKXVT7TEEIYP3T4U4FBYENZJ/action/citation_signature","submit_replication":"https://pith.science/pith/ZVCKXVT7TEEIYP3T4U4FBYENZJ/action/replication_record"}},"created_at":"2026-05-18T03:40:49.148562+00:00","updated_at":"2026-05-18T03:40:49.148562+00:00"}