{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:WLQ7JFZQ2OTN4CHQTO6XCUIDJF","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"7d394bf64cacb06748cc76a4f561b8be579a4d441a5a77f142d361058c769e20","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math-ph","math.MP","nlin.SI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2024-05-24T18:00:00Z","title_canon_sha256":"73776b3a612640a5d2fa832cee6548482d965c651c2db7252e5315231b8b03c8"},"schema_version":"1.0","source":{"id":"2405.15848","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.15848","created_at":"2026-07-05T10:55:21Z"},{"alias_kind":"arxiv_version","alias_value":"2405.15848v3","created_at":"2026-07-05T10:55:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.15848","created_at":"2026-07-05T10:55:21Z"},{"alias_kind":"pith_short_12","alias_value":"WLQ7JFZQ2OTN","created_at":"2026-07-05T10:55:21Z"},{"alias_kind":"pith_short_16","alias_value":"WLQ7JFZQ2OTN4CHQ","created_at":"2026-07-05T10:55:21Z"},{"alias_kind":"pith_short_8","alias_value":"WLQ7JFZQ","created_at":"2026-07-05T10:55:21Z"}],"graph_snapshots":[{"event_id":"sha256:d84f4a72c70fac4464501f631fa72c9e836c3594548a40e2c6c93d9443f7305d","target":"graph","created_at":"2026-07-05T10:55:21Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2405.15848/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We initiate a systematic study of integrable models for spin chains with constrained Hilbert spaces; we focus on spin-1/2 chains with the Rydberg constraint. We extend earlier results for medium-range spin chains to the constrained Hilbert space, and formulate an integrability condition. This enables us to construct new integrable models with fixed interaction ranges. We classify all time- and space-reflection symmetric integrable Rydberg-constrained Hamiltonians of range 3 and 4. At range 3, we find a single family of integrable Hamiltonians: the so-called RSOS quantum chains, which are relat","authors_text":"Bal\\'azs Pozsgay, Luke Corcoran, Marius de Leeuw","cross_cats":["cond-mat.stat-mech","hep-th","math-ph","math.MP","nlin.SI"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2024-05-24T18:00:00Z","title":"Integrable models on Rydberg atom chains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.15848","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:3430a1e54d3e78190acaa3a4abaacb80990b3e56f01d734c1ddb086475495be5","target":"record","created_at":"2026-07-05T10:55:21Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"7d394bf64cacb06748cc76a4f561b8be579a4d441a5a77f142d361058c769e20","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math-ph","math.MP","nlin.SI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2024-05-24T18:00:00Z","title_canon_sha256":"73776b3a612640a5d2fa832cee6548482d965c651c2db7252e5315231b8b03c8"},"schema_version":"1.0","source":{"id":"2405.15848","kind":"arxiv","version":3}},"canonical_sha256":"b2e1f49730d3a6de08f09bbd71510349456ac937d18b3c2f43cea3a6565febdd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b2e1f49730d3a6de08f09bbd71510349456ac937d18b3c2f43cea3a6565febdd","first_computed_at":"2026-07-05T10:55:21.175380Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:55:21.175380Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OMNCgDp2Yje/92aCnhWZUmKQ1KmEwxMdiKZuer5z7FUTUgjE6Qvq0F8VaVUxD4NRyKqHGIv226rNgy14s/BMCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:55:21.175891Z","signed_message":"canonical_sha256_bytes"},"source_id":"2405.15848","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3430a1e54d3e78190acaa3a4abaacb80990b3e56f01d734c1ddb086475495be5","sha256:d84f4a72c70fac4464501f631fa72c9e836c3594548a40e2c6c93d9443f7305d"],"state_sha256":"6062531e772eb7b2a5e2eb0baea571798012c80e33ed2aba3fcbb3756917a491"}