{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:CCHY27GID7NOTCGZJFUHMFNM6X","short_pith_number":"pith:CCHY27GI","schema_version":"1.0","canonical_sha256":"108f8d7cc81fdae988d949687615acf5c9858d0d95ac8b9c656125e6dbfd1751","source":{"kind":"arxiv","id":"cond-mat/0701259","version":1},"attestation_state":"computed","paper":{"title":"Enlarged symmetry algebras of spin chains, loop models, and S-matrices","license":"","headline":"","cross_cats":["cond-mat.str-el","hep-th","math.QA"],"primary_cat":"cond-mat.stat-mech","authors_text":"H. Saleur, N. Read","submitted_at":"2007-01-11T21:30:43Z","abstract_excerpt":"The symmetry algebras of certain families of quantum spin chains are considered in detail. The simplest examples possess m states per site (m\\geq2), with nearest-neighbor interactions with U(m) symmetry, under which the sites transform alternately along the chain in the fundamental m and its conjugate representation \\bar{m}. We find that these spin chains, even with {\\em arbitrary} coefficients of these interactions, have a symmetry algebra A_m much larger than U(m), which implies that the energy eigenstates fall into sectors that for open chains (i.e., free boundary conditions) can be labeled"},"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":"cond-mat/0701259","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2007-01-11T21:30:43Z","cross_cats_sorted":["cond-mat.str-el","hep-th","math.QA"],"title_canon_sha256":"f11873216aff69e5237661a39720ad1c83f8448b88431867332cb33d4aaca055","abstract_canon_sha256":"cae29b93ec405df6118971511575dc2328c871036a85de4568abb3aa52a57918"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:18:48.862723Z","signature_b64":"SGmNaw5f1bh2oYOFNzyFvvN2VZYP6h1obaSMQaKvCB9i8MvAjeYh6Zgmoq38SM4J7fPT/BCwGBb66M0VmAWQAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"108f8d7cc81fdae988d949687615acf5c9858d0d95ac8b9c656125e6dbfd1751","last_reissued_at":"2026-07-04T15:18:48.862222Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:18:48.862222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Enlarged symmetry algebras of spin chains, loop models, and S-matrices","license":"","headline":"","cross_cats":["cond-mat.str-el","hep-th","math.QA"],"primary_cat":"cond-mat.stat-mech","authors_text":"H. Saleur, N. Read","submitted_at":"2007-01-11T21:30:43Z","abstract_excerpt":"The symmetry algebras of certain families of quantum spin chains are considered in detail. The simplest examples possess m states per site (m\\geq2), with nearest-neighbor interactions with U(m) symmetry, under which the sites transform alternately along the chain in the fundamental m and its conjugate representation \\bar{m}. We find that these spin chains, even with {\\em arbitrary} coefficients of these interactions, have a symmetry algebra A_m much larger than U(m), which implies that the energy eigenstates fall into sectors that for open chains (i.e., free boundary conditions) can be labeled"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0701259","kind":"arxiv","version":1},"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/cond-mat/0701259/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":"cond-mat/0701259","created_at":"2026-07-04T15:18:48.862285+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0701259v1","created_at":"2026-07-04T15:18:48.862285+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0701259","created_at":"2026-07-04T15:18:48.862285+00:00"},{"alias_kind":"pith_short_12","alias_value":"CCHY27GID7NO","created_at":"2026-07-04T15:18:48.862285+00:00"},{"alias_kind":"pith_short_16","alias_value":"CCHY27GID7NOTCGZ","created_at":"2026-07-04T15:18:48.862285+00:00"},{"alias_kind":"pith_short_8","alias_value":"CCHY27GI","created_at":"2026-07-04T15:18:48.862285+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2412.13951","citing_title":"Weak ergodicity breaking with isolated integrable sectors","ref_index":24,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CCHY27GID7NOTCGZJFUHMFNM6X","json":"https://pith.science/pith/CCHY27GID7NOTCGZJFUHMFNM6X.json","graph_json":"https://pith.science/api/pith-number/CCHY27GID7NOTCGZJFUHMFNM6X/graph.json","events_json":"https://pith.science/api/pith-number/CCHY27GID7NOTCGZJFUHMFNM6X/events.json","paper":"https://pith.science/paper/CCHY27GI"},"agent_actions":{"view_html":"https://pith.science/pith/CCHY27GID7NOTCGZJFUHMFNM6X","download_json":"https://pith.science/pith/CCHY27GID7NOTCGZJFUHMFNM6X.json","view_paper":"https://pith.science/paper/CCHY27GI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0701259&json=true","fetch_graph":"https://pith.science/api/pith-number/CCHY27GID7NOTCGZJFUHMFNM6X/graph.json","fetch_events":"https://pith.science/api/pith-number/CCHY27GID7NOTCGZJFUHMFNM6X/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CCHY27GID7NOTCGZJFUHMFNM6X/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CCHY27GID7NOTCGZJFUHMFNM6X/action/storage_attestation","attest_author":"https://pith.science/pith/CCHY27GID7NOTCGZJFUHMFNM6X/action/author_attestation","sign_citation":"https://pith.science/pith/CCHY27GID7NOTCGZJFUHMFNM6X/action/citation_signature","submit_replication":"https://pith.science/pith/CCHY27GID7NOTCGZJFUHMFNM6X/action/replication_record"}},"created_at":"2026-07-04T15:18:48.862285+00:00","updated_at":"2026-07-04T15:18:48.862285+00:00"}