{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:TEMUDGTIX6CIXDXL7YAWSAJ67F","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":"6d3a0a751264026fc848a5ca84b54cd31dd0cbd301305c39b1c2a432c17f7c77","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-11-10T18:21:45Z","title_canon_sha256":"6d5879993693bb5e717f115e30f3af5e9582b1d4727fa7c6fa52dc797f7edba7"},"schema_version":"1.0","source":{"id":"1611.03436","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.03436","created_at":"2026-05-18T00:45:47Z"},{"alias_kind":"arxiv_version","alias_value":"1611.03436v1","created_at":"2026-05-18T00:45:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.03436","created_at":"2026-05-18T00:45:47Z"},{"alias_kind":"pith_short_12","alias_value":"TEMUDGTIX6CI","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"TEMUDGTIX6CIXDXL","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"TEMUDGTI","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:1a867175b07ba54e959d612d8dc863b56537016c535233a029b6fd733a4a2011","target":"graph","created_at":"2026-05-18T00:45:47Z","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 present a theoretical study of field-induced magnetic phases in the honeycomb Kitaev-Heisenberg model, which is believed to describe the essential physics of Mott insulators with strong spin-orbit coupling such as $A_2$IrO$_3$ and $\\alpha$-RuCl$_3$. We obtain a finite temperature phase diagram based on extensive Monte Carlo simulations and analytical calculations. We show that, while Zeeman coupling favors a symmetric non-coplanar magnetic order, thermal fluctuations enhances the stability of a collinear zigzag phase that breaks the rotational symmetry of the lattice. Our large-scale simula","authors_text":"Craig Price, Gia-Wei Chern, Natalia B. Perkins, Yuriy Sizyuk","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-11-10T18:21:45Z","title":"Kitaev-Heisenberg model in a magnetic field: order-by-disorder and commensurate-incommensurate transitions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.03436","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":"sha256:99c76c62876cfe59e55ae76ee8b1739c144f37d84e81d12d5aeeffbf448bf309","target":"record","created_at":"2026-05-18T00:45:47Z","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":"6d3a0a751264026fc848a5ca84b54cd31dd0cbd301305c39b1c2a432c17f7c77","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-11-10T18:21:45Z","title_canon_sha256":"6d5879993693bb5e717f115e30f3af5e9582b1d4727fa7c6fa52dc797f7edba7"},"schema_version":"1.0","source":{"id":"1611.03436","kind":"arxiv","version":1}},"canonical_sha256":"9919419a68bf848b8eebfe0169013ef967c9f67269563a39bd962ae3d5c93f0b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9919419a68bf848b8eebfe0169013ef967c9f67269563a39bd962ae3d5c93f0b","first_computed_at":"2026-05-18T00:45:47.471038Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:47.471038Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LDJ2Vdz4rCfEx3FH0gioTSeZPzdo9ZhZd7H/LgQStV41prtfBysKi+zWlhgmn1LhUts1OAam0Bs9Q03DgYUKBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:47.471543Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.03436","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:99c76c62876cfe59e55ae76ee8b1739c144f37d84e81d12d5aeeffbf448bf309","sha256:1a867175b07ba54e959d612d8dc863b56537016c535233a029b6fd733a4a2011"],"state_sha256":"9d13be596fa678f7a1eae8ba5e20aeb2a1ed868f495a2f30677352a8b48f4636"}