{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:E2JG3GTHCQ3PDBWW4Z3EENAJVD","short_pith_number":"pith:E2JG3GTH","schema_version":"1.0","canonical_sha256":"26926d9a671436f186d6e676423409a8f89aa1fc0f97e753be5fb3c5204e5803","source":{"kind":"arxiv","id":"math-ph/0503036","version":3},"attestation_state":"computed","paper":{"title":"A new (in)finite dimensional algebra for quantum integrable models","license":"","headline":"","cross_cats":["cond-mat.stat-mech","hep-th","math.MP","math.QA","nlin.SI"],"primary_cat":"math-ph","authors_text":"K. Koizumi, P. Baseilhac","submitted_at":"2005-03-14T16:46:09Z","abstract_excerpt":"A new (in)finite dimensional algebra which is a fundamental dynamical symmetry of a large class of (continuum or lattice) quantum integrable models is introduced and studied in details. Finite dimensional representations are constructed and mutually commuting quantities - which ensure the integrability of the system - are written in terms of the fundamental generators of the new algebra. Relation with the deformed Dolan-Grady integrable structure recently discovered by one of the authors and Terwilliger's tridiagonal algebras is described. Remarkably, this (in)finite dimensional algebra is a `"},"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":"math-ph/0503036","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2005-03-14T16:46:09Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP","math.QA","nlin.SI"],"title_canon_sha256":"ce3c95228ccf79555213a619095b4882446f6cf8756983322c6e7c66f940502e","abstract_canon_sha256":"658f007e6d63452c5a84c461835f329d48c6f62b9b31de252e58ef8fb65ebf10"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:35:38.708722Z","signature_b64":"ZUTk6jOtAVcRtiTB6I+zlGzo5RknJpAad/uwEM7yVPUs96lqe7ZEC5ZTj1KnJtbHhCXSY+8x2EEFW5gs5gUCAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"26926d9a671436f186d6e676423409a8f89aa1fc0f97e753be5fb3c5204e5803","last_reissued_at":"2026-05-18T02:35:38.708131Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:35:38.708131Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A new (in)finite dimensional algebra for quantum integrable models","license":"","headline":"","cross_cats":["cond-mat.stat-mech","hep-th","math.MP","math.QA","nlin.SI"],"primary_cat":"math-ph","authors_text":"K. Koizumi, P. Baseilhac","submitted_at":"2005-03-14T16:46:09Z","abstract_excerpt":"A new (in)finite dimensional algebra which is a fundamental dynamical symmetry of a large class of (continuum or lattice) quantum integrable models is introduced and studied in details. Finite dimensional representations are constructed and mutually commuting quantities - which ensure the integrability of the system - are written in terms of the fundamental generators of the new algebra. Relation with the deformed Dolan-Grady integrable structure recently discovered by one of the authors and Terwilliger's tridiagonal algebras is described. Remarkably, this (in)finite dimensional algebra is a `"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0503036","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":"math-ph/0503036","created_at":"2026-05-18T02:35:38.708223+00:00"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0503036v3","created_at":"2026-05-18T02:35:38.708223+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0503036","created_at":"2026-05-18T02:35:38.708223+00:00"},{"alias_kind":"pith_short_12","alias_value":"E2JG3GTHCQ3P","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_16","alias_value":"E2JG3GTHCQ3PDBWW","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_8","alias_value":"E2JG3GTH","created_at":"2026-05-18T12:25:53.335082+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"1907.09872","citing_title":"The alternating central extension for the positive part of $U_q(\\widehat{\\mathfrak{sl}}_2)$","ref_index":6,"is_internal_anchor":true},{"citing_arxiv_id":"2511.15876","citing_title":"Universal TT- and TQ-relations via centrally extended q-Onsager algebra","ref_index":12,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/E2JG3GTHCQ3PDBWW4Z3EENAJVD","json":"https://pith.science/pith/E2JG3GTHCQ3PDBWW4Z3EENAJVD.json","graph_json":"https://pith.science/api/pith-number/E2JG3GTHCQ3PDBWW4Z3EENAJVD/graph.json","events_json":"https://pith.science/api/pith-number/E2JG3GTHCQ3PDBWW4Z3EENAJVD/events.json","paper":"https://pith.science/paper/E2JG3GTH"},"agent_actions":{"view_html":"https://pith.science/pith/E2JG3GTHCQ3PDBWW4Z3EENAJVD","download_json":"https://pith.science/pith/E2JG3GTHCQ3PDBWW4Z3EENAJVD.json","view_paper":"https://pith.science/paper/E2JG3GTH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math-ph/0503036&json=true","fetch_graph":"https://pith.science/api/pith-number/E2JG3GTHCQ3PDBWW4Z3EENAJVD/graph.json","fetch_events":"https://pith.science/api/pith-number/E2JG3GTHCQ3PDBWW4Z3EENAJVD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/E2JG3GTHCQ3PDBWW4Z3EENAJVD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/E2JG3GTHCQ3PDBWW4Z3EENAJVD/action/storage_attestation","attest_author":"https://pith.science/pith/E2JG3GTHCQ3PDBWW4Z3EENAJVD/action/author_attestation","sign_citation":"https://pith.science/pith/E2JG3GTHCQ3PDBWW4Z3EENAJVD/action/citation_signature","submit_replication":"https://pith.science/pith/E2JG3GTHCQ3PDBWW4Z3EENAJVD/action/replication_record"}},"created_at":"2026-05-18T02:35:38.708223+00:00","updated_at":"2026-05-18T02:35:38.708223+00:00"}