{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:YNHACMR5WWCOPXSYDKT7XQ3AOU","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":"39570cc20cc2c953a32b3ae1d069420caefbcd3994251736a351a3c052882ad9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-09-26T10:26:46Z","title_canon_sha256":"6942f36baf7008c6f3253090b8841f22d233372130869cf75f3d131c05b7b7f9"},"schema_version":"1.0","source":{"id":"1209.5895","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.5895","created_at":"2026-05-18T01:18:49Z"},{"alias_kind":"arxiv_version","alias_value":"1209.5895v3","created_at":"2026-05-18T01:18:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.5895","created_at":"2026-05-18T01:18:49Z"},{"alias_kind":"pith_short_12","alias_value":"YNHACMR5WWCO","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"YNHACMR5WWCOPXSY","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"YNHACMR5","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:5e818081d6fa7861bb3e4bcfea8c40b145ca0ba1c9e1ce8db54d61304989fa1a","target":"graph","created_at":"2026-05-18T01:18:49Z","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":"The triangular-lattice Heisenberg antiferromagnet (HAF) is known to carry topological Z_2 vortex excitations which form a gas at finite temperatures. Here we show that the spin-orbit interaction, introduced via a Kitaev term in the exchange Hamiltonian, condenses these vortices into a triangular $Z_2$ vortex crystal at zero temperature. The cores of the Z_2 vortices show abrupt, soliton-like magnetization modulations and arise by a special intertwining of three honeycomb superstructures of ferromagnetic domains, one for each of the three sublattices of the 120-degree state of the pure HAF. Thi","authors_text":"Ioannis Rousochatzakis, Jeroen van den Brink, Maria Daghofer, Ulrich K. R\\\"ossler","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-09-26T10:26:46Z","title":"Z_2-vortex lattice in the ground state of the triangular Kitaev-Heisenberg model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.5895","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":"sha256:2a2365f1e529cd04f95f4582bc369e6ba3ea4cfb3dedfaec769b9c2b6d21f16b","target":"record","created_at":"2026-05-18T01:18:49Z","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":"39570cc20cc2c953a32b3ae1d069420caefbcd3994251736a351a3c052882ad9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-09-26T10:26:46Z","title_canon_sha256":"6942f36baf7008c6f3253090b8841f22d233372130869cf75f3d131c05b7b7f9"},"schema_version":"1.0","source":{"id":"1209.5895","kind":"arxiv","version":3}},"canonical_sha256":"c34e01323db584e7de581aa7fbc360752b7ed78be4a0e905936458403f374831","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c34e01323db584e7de581aa7fbc360752b7ed78be4a0e905936458403f374831","first_computed_at":"2026-05-18T01:18:49.714112Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:49.714112Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Nc2v1S1tI90c7HBSKQS1BwWubBTtcw+zQSxE+t3Gij3jb9hSPzeo7hMMHZUe6xUj2JIC4jfhv+wQ3t7xRXMbCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:49.714861Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.5895","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2a2365f1e529cd04f95f4582bc369e6ba3ea4cfb3dedfaec769b9c2b6d21f16b","sha256:5e818081d6fa7861bb3e4bcfea8c40b145ca0ba1c9e1ce8db54d61304989fa1a"],"state_sha256":"dc324a2d8d2ca3fdfbc4e68ed87a6ba8ce36bd8a15457570df3142cdd6132057"}