{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:S6S6IL7DQHCVP5ZWYAQGFC7V65","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":"9252d8b03eb7d34b7b47a569e60c0a4cd07776d301b549d6f203e58386c7bf34","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-06-30T18:11:26Z","title_canon_sha256":"922202b4842b732e2c04914c3c25d9930cf68a1e5eb32ea1649cce8d9a52276c"},"schema_version":"1.0","source":{"id":"1506.09185","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.09185","created_at":"2026-05-18T01:25:09Z"},{"alias_kind":"arxiv_version","alias_value":"1506.09185v2","created_at":"2026-05-18T01:25:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.09185","created_at":"2026-05-18T01:25:09Z"},{"alias_kind":"pith_short_12","alias_value":"S6S6IL7DQHCV","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"S6S6IL7DQHCVP5ZW","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"S6S6IL7D","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:f95ae768c2368068ccf6da6718a4d6eef5b7111614f42b9da5e7e876b1001412","target":"graph","created_at":"2026-05-18T01:25:09Z","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 show that the topological Kitaev spin liquid on the honeycomb lattice is extremely fragile against the second-neighbor Kitaev coupling $K_2$, which has recently been shown to be the dominant perturbation away from the nearest-neighbor model in iridate Na$_2$IrO$_3$, and may also play a role in $\\alpha$-RuCl$_3$ and Li$_2$IrO$_3$. This coupling naturally explains the zigzag ordering (without introducing unrealistically large longer-range Heisenberg exchange terms) and the special entanglement between real and spin space observed recently in Na$_2$IrO$_3$. Moreover, the minimal $K_1$-$K_2$ mo","authors_text":"Ioannis Rousochatzakis, Johannes Reuther, N. B. Perkins, Ronny Thomale, Stephan Rachel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-06-30T18:11:26Z","title":"Phase Diagram and Quantum Order by Disorder in the Kitaev $K_1$-$K_2$ Honeycomb Magnet"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.09185","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":"sha256:817abe26a7ff0018bc9fdd73ea04e6bf485335a5236e08eece26e98248f38496","target":"record","created_at":"2026-05-18T01:25:09Z","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":"9252d8b03eb7d34b7b47a569e60c0a4cd07776d301b549d6f203e58386c7bf34","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-06-30T18:11:26Z","title_canon_sha256":"922202b4842b732e2c04914c3c25d9930cf68a1e5eb32ea1649cce8d9a52276c"},"schema_version":"1.0","source":{"id":"1506.09185","kind":"arxiv","version":2}},"canonical_sha256":"97a5e42fe381c557f736c020628bf5f756073a2d2bdfef40785b4b6f2e25385d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"97a5e42fe381c557f736c020628bf5f756073a2d2bdfef40785b4b6f2e25385d","first_computed_at":"2026-05-18T01:25:09.365090Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:25:09.365090Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dH+lG04B4yjgiSOodRvV/IjtYNVD8cREifOyu3SEWX3KIJXzpb9AGlFVT9RIaqr/to670k4ao/FDHSKHbQJPCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:25:09.365783Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.09185","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:817abe26a7ff0018bc9fdd73ea04e6bf485335a5236e08eece26e98248f38496","sha256:f95ae768c2368068ccf6da6718a4d6eef5b7111614f42b9da5e7e876b1001412"],"state_sha256":"04919b5baa7dd389d7a15002c40508f67bc83b607fb75be796bef2c7b7419ff9"}