{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:2GFT4IZEUS7ERBN5O37UBQKNKJ","short_pith_number":"pith:2GFT4IZE","schema_version":"1.0","canonical_sha256":"d18b3e2324a4be4885bd76ff40c14d526447a7bfcd1649b8abaa23087cba8e73","source":{"kind":"arxiv","id":"2605.28946","version":1},"attestation_state":"computed","paper":{"title":"Constrained integrability and anyonic chains","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","math-ph","math.MP","nlin.SI"],"primary_cat":"hep-th","authors_text":"Luke Corcoran, Marius de Leeuw, Matthew Blakeney","submitted_at":"2026-05-27T18:00:05Z","abstract_excerpt":"We review the notion of Yang-Baxter integrability for spin chains that have Hilbert spaces with constraints, such as a Rydberg blockade. We focus on anyonic chains, whose constraints arise from the fusion rules of the fusion categories on which they are based. We discuss the emergence of Temperley-Lieb algebras and present a new result on which types of anyonic chains exhibit them. We then give an overview of known results for integrable anyonic chains and extend them to several fusion categories up to rank $7$. Using a modification of the boost operator formalism, we find several new integrab"},"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":"2605.28946","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-05-27T18:00:05Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","math-ph","math.MP","nlin.SI"],"title_canon_sha256":"a39960f0c0aa50113278bba0ec01fa8726925152d005aff8e8350964e0cde49e","abstract_canon_sha256":"ec2620656c239969138685a9b5aef0127a4a8bb250f30e22bc83392ccaf8116c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-29T00:04:17.581784Z","signature_b64":"R3dFxf2fCb07d02FVwIjbpKQOUbb+o9/8VmAMkr0drGrqgq4V5dT+S5vJGtDTzxUnvs14sf2wYG+G4Z6/2JhCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d18b3e2324a4be4885bd76ff40c14d526447a7bfcd1649b8abaa23087cba8e73","last_reissued_at":"2026-05-29T00:04:17.581267Z","signature_status":"signed_v1","first_computed_at":"2026-05-29T00:04:17.581267Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Constrained integrability and anyonic chains","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","math-ph","math.MP","nlin.SI"],"primary_cat":"hep-th","authors_text":"Luke Corcoran, Marius de Leeuw, Matthew Blakeney","submitted_at":"2026-05-27T18:00:05Z","abstract_excerpt":"We review the notion of Yang-Baxter integrability for spin chains that have Hilbert spaces with constraints, such as a Rydberg blockade. We focus on anyonic chains, whose constraints arise from the fusion rules of the fusion categories on which they are based. We discuss the emergence of Temperley-Lieb algebras and present a new result on which types of anyonic chains exhibit them. We then give an overview of known results for integrable anyonic chains and extend them to several fusion categories up to rank $7$. Using a modification of the boost operator formalism, we find several new integrab"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.28946","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/2605.28946/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":"2605.28946","created_at":"2026-05-29T00:04:17.581352+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.28946v1","created_at":"2026-05-29T00:04:17.581352+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.28946","created_at":"2026-05-29T00:04:17.581352+00:00"},{"alias_kind":"pith_short_12","alias_value":"2GFT4IZEUS7E","created_at":"2026-05-29T00:04:17.581352+00:00"},{"alias_kind":"pith_short_16","alias_value":"2GFT4IZEUS7ERBN5","created_at":"2026-05-29T00:04:17.581352+00:00"},{"alias_kind":"pith_short_8","alias_value":"2GFT4IZE","created_at":"2026-05-29T00:04:17.581352+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/2GFT4IZEUS7ERBN5O37UBQKNKJ","json":"https://pith.science/pith/2GFT4IZEUS7ERBN5O37UBQKNKJ.json","graph_json":"https://pith.science/api/pith-number/2GFT4IZEUS7ERBN5O37UBQKNKJ/graph.json","events_json":"https://pith.science/api/pith-number/2GFT4IZEUS7ERBN5O37UBQKNKJ/events.json","paper":"https://pith.science/paper/2GFT4IZE"},"agent_actions":{"view_html":"https://pith.science/pith/2GFT4IZEUS7ERBN5O37UBQKNKJ","download_json":"https://pith.science/pith/2GFT4IZEUS7ERBN5O37UBQKNKJ.json","view_paper":"https://pith.science/paper/2GFT4IZE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.28946&json=true","fetch_graph":"https://pith.science/api/pith-number/2GFT4IZEUS7ERBN5O37UBQKNKJ/graph.json","fetch_events":"https://pith.science/api/pith-number/2GFT4IZEUS7ERBN5O37UBQKNKJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2GFT4IZEUS7ERBN5O37UBQKNKJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2GFT4IZEUS7ERBN5O37UBQKNKJ/action/storage_attestation","attest_author":"https://pith.science/pith/2GFT4IZEUS7ERBN5O37UBQKNKJ/action/author_attestation","sign_citation":"https://pith.science/pith/2GFT4IZEUS7ERBN5O37UBQKNKJ/action/citation_signature","submit_replication":"https://pith.science/pith/2GFT4IZEUS7ERBN5O37UBQKNKJ/action/replication_record"}},"created_at":"2026-05-29T00:04:17.581352+00:00","updated_at":"2026-05-29T00:04:17.581352+00:00"}