{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:YA52L7OOMQ3FET3PPVTXUCLVNX","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":"773f1ec4df85f9dad4dc8d72154738357af760f93c6aa73c8a5b7d3da384efbd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-06-28T11:49:26Z","title_canon_sha256":"79ee3f7315fbc59699556f354f9e3e8e0f31c8edb0ef26251f037dfa39ab3d3e"},"schema_version":"1.0","source":{"id":"1006.5328","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.5328","created_at":"2026-05-18T02:06:34Z"},{"alias_kind":"arxiv_version","alias_value":"1006.5328v1","created_at":"2026-05-18T02:06:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.5328","created_at":"2026-05-18T02:06:34Z"},{"alias_kind":"pith_short_12","alias_value":"YA52L7OOMQ3F","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"YA52L7OOMQ3FET3P","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"YA52L7OO","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:dc22a33ba321529f424e91350dc8c7e7ce3b8178ea6860423bebdb7a53985b82","target":"graph","created_at":"2026-05-18T02:06:34Z","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 spin-1 Heisenberg antiferromagnet on a triangular lattice with the nearest- and next-nearest-neighbor couplings, $J_1=(1-p)J$ and $J_2=pJ$, $J>0$, is studied in the entire range of the parameter $p$. Mori's projection operator technique is used as a method which retains the rotation symmetry of spin components and does not anticipate any magnetic ordering. For zero temperature four second-order phase transitions are observed. At $p\\approx 0.038$ the ground state is transformed from the long-range ordered $120^\\circ$ spin structure into a state with short-range ordering, which in its turn i","authors_text":"A. Sherman, M. Schreiber, P. Rubin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-06-28T11:49:26Z","title":"The spin-1 two-dimensional J1-J2 Heisenberg antiferromagnet on a triangular lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.5328","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":"sha256:26136813aaa090232fb9832d3c9d0ae0d8fa03fe1106c28acdecbd6572ae1bbc","target":"record","created_at":"2026-05-18T02:06:34Z","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":"773f1ec4df85f9dad4dc8d72154738357af760f93c6aa73c8a5b7d3da384efbd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-06-28T11:49:26Z","title_canon_sha256":"79ee3f7315fbc59699556f354f9e3e8e0f31c8edb0ef26251f037dfa39ab3d3e"},"schema_version":"1.0","source":{"id":"1006.5328","kind":"arxiv","version":1}},"canonical_sha256":"c03ba5fdce6436524f6f7d677a09756de32016f200d0fa5d6543131cf23c2c12","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c03ba5fdce6436524f6f7d677a09756de32016f200d0fa5d6543131cf23c2c12","first_computed_at":"2026-05-18T02:06:34.934397Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:06:34.934397Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uHk63zzcDnOXefCszVibQ93QYWvNUu1kM6xwc3/5TL27To9TACqyNzBKeAoW6cxxsL/RkL3cp/qEPJvFu2AqAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:06:34.935106Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.5328","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:26136813aaa090232fb9832d3c9d0ae0d8fa03fe1106c28acdecbd6572ae1bbc","sha256:dc22a33ba321529f424e91350dc8c7e7ce3b8178ea6860423bebdb7a53985b82"],"state_sha256":"5ae44c325cdd08f60b6cb6a0d6a9a5ce57329852eaa984811d5fff3c047a4eae"}