{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:7A6Z25R5Z7CDNUOLJ6O4PHEKTY","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":"597fb740a0f714711804db0e6280ecbebe7e86bebeb96cbe52c4fe69834b0fc3","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2025-07-27T14:33:34Z","title_canon_sha256":"64cf237e3d6b741ebfda5bda58647dd0c811a3e7f8817d63d612a2cd3739be67"},"schema_version":"1.0","source":{"id":"2507.20299","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.20299","created_at":"2026-07-05T11:44:53Z"},{"alias_kind":"arxiv_version","alias_value":"2507.20299v1","created_at":"2026-07-05T11:44:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.20299","created_at":"2026-07-05T11:44:53Z"},{"alias_kind":"pith_short_12","alias_value":"7A6Z25R5Z7CD","created_at":"2026-07-05T11:44:53Z"},{"alias_kind":"pith_short_16","alias_value":"7A6Z25R5Z7CDNUOL","created_at":"2026-07-05T11:44:53Z"},{"alias_kind":"pith_short_8","alias_value":"7A6Z25R5","created_at":"2026-07-05T11:44:53Z"}],"graph_snapshots":[{"event_id":"sha256:a85c9439bf50e4842da6d281cba6060020a7a2ff0633f184544afffe81fc2ecb","target":"graph","created_at":"2026-07-05T11:44:53Z","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/2507.20299/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we consider the quantum XYZ open spin-1/2 chain with boundary fields. We focus on the particular case in which the six boundary parameters are related by a single constraint enabling us to describe part of the spectrum by standard Bethe equations. We derive for this model exact representations for a set of elementary blocks of correlation functions, hence generalising to XYZ the results obtained in the XXZ open case in arXiv:2208.10097. Our approach is also similar to the approach proposed in the XXZ case arXiv:2208.10097: we solve the model by Sklyanin's version of the quantum ","authors_text":"G. Niccoli, V. Terras","cross_cats":["cond-mat.stat-mech","hep-th","math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2025-07-27T14:33:34Z","title":"On correlation functions of the open XYZ spin 1/2 chain with boundary fields related by a constraint"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.20299","kind":"arxiv","version":1},"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":"sha256:05ea13ba9a77683167ab4f8dc6cab58a1ca2e9648fff1faa4be2336108f860f9","target":"record","created_at":"2026-07-05T11:44:53Z","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":"597fb740a0f714711804db0e6280ecbebe7e86bebeb96cbe52c4fe69834b0fc3","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2025-07-27T14:33:34Z","title_canon_sha256":"64cf237e3d6b741ebfda5bda58647dd0c811a3e7f8817d63d612a2cd3739be67"},"schema_version":"1.0","source":{"id":"2507.20299","kind":"arxiv","version":1}},"canonical_sha256":"f83d9d763dcfc436d1cb4f9dc79c8a9e3f5bbc5313d3164e03f63dc286239a1d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f83d9d763dcfc436d1cb4f9dc79c8a9e3f5bbc5313d3164e03f63dc286239a1d","first_computed_at":"2026-07-05T11:44:53.649650Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:44:53.649650Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h6aPBxnInMOB3jVUoZKMy/jc/04/WPqa0dLrBabwtvyWgob8XrI+Jrqslj9Es1xgWTw+LU8+HELGSHP8hckUDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:44:53.650259Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.20299","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:05ea13ba9a77683167ab4f8dc6cab58a1ca2e9648fff1faa4be2336108f860f9","sha256:a85c9439bf50e4842da6d281cba6060020a7a2ff0633f184544afffe81fc2ecb"],"state_sha256":"16d0e256878d738d6b914ffc1823e096dc7d326fa1514c789a413b255642827c"}