{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:CVFXVJMHIEICKULI5BCZTHR6FE","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":"51d0db929d73a2c8b7b0981d79cb606a310937cd7517489d980fc3fd10e22219","cross_cats_sorted":["cond-mat.other","cond-mat.quant-gas","cond-mat.stat-mech","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-02-17T14:09:00Z","title_canon_sha256":"8819e03996c652f5a23be526ffed7f26bf94aa30765e14bc411a7f09d8709bb7"},"schema_version":"1.0","source":{"id":"1402.4008","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.4008","created_at":"2026-05-18T01:44:37Z"},{"alias_kind":"arxiv_version","alias_value":"1402.4008v2","created_at":"2026-05-18T01:44:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.4008","created_at":"2026-05-18T01:44:37Z"},{"alias_kind":"pith_short_12","alias_value":"CVFXVJMHIEIC","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"CVFXVJMHIEICKULI","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"CVFXVJMH","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:8b29a8acecec92ae2cefbd50aaec32f36d5c961f80cd3bdcfd7f54f71a70c28a","target":"graph","created_at":"2026-05-18T01:44:37Z","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"},"paper":{"abstract_excerpt":"We study the spin-$1$ model in a triangular lattice in presence of a uniaxial anisotropy field using a Cluster Mean-Field approach (CMF). The interplay between antiferromagnetic exchange, lattice geometry and anisotropy forces Gutzwiller mean-field approaches to fail in a certain region of the phase diagram. There, the CMF yields two supersolid (SS) phases compatible with those present in the spin-$1/2$ XXZ model onto which the spin-$1$ system maps. Between these two SS phases, the three-sublattice order is broken and the results of the CMF depend heavily on the geometry and size of the cluste","authors_text":"A. Sanpera, G. De Chiara, H. Perrin, M. Moreno-Cardoner, S. Paganelli","cross_cats":["cond-mat.other","cond-mat.quant-gas","cond-mat.stat-mech","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-02-17T14:09:00Z","title":"A case study of spin-$1$ Heisenberg model in a triangular lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.4008","kind":"arxiv","version":2},"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:d9d238bbe041b7808e528f5efe9782087bc40d6cf8b236c0a8f5667ebd146908","target":"record","created_at":"2026-05-18T01:44:37Z","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":"51d0db929d73a2c8b7b0981d79cb606a310937cd7517489d980fc3fd10e22219","cross_cats_sorted":["cond-mat.other","cond-mat.quant-gas","cond-mat.stat-mech","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-02-17T14:09:00Z","title_canon_sha256":"8819e03996c652f5a23be526ffed7f26bf94aa30765e14bc411a7f09d8709bb7"},"schema_version":"1.0","source":{"id":"1402.4008","kind":"arxiv","version":2}},"canonical_sha256":"154b7aa5874110255168e845999e3e2919eeee3bda129be6575a941a9b671f88","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"154b7aa5874110255168e845999e3e2919eeee3bda129be6575a941a9b671f88","first_computed_at":"2026-05-18T01:44:37.319342Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:44:37.319342Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LJzuurZg9kobxQkZpsiQHVuN1kPYQhWvzQTlD7mtoB6aIK77CWOXQQXpRxWQzrCh139yBotkxSzp7bX/MazKBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:44:37.320017Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.4008","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d9d238bbe041b7808e528f5efe9782087bc40d6cf8b236c0a8f5667ebd146908","sha256:8b29a8acecec92ae2cefbd50aaec32f36d5c961f80cd3bdcfd7f54f71a70c28a"],"state_sha256":"1a1f52dc912ae6ff7b28d4411d6bf6cbf9b5f4563c72b6174b2f6cd61b139f47"}