{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:4ZWOKKQ4W6WD3WQ36PI3SDHVMA","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":"cead219786409a4da8cd59b7983ff5d05941a0d10d3e39d3b0b245bcf8ec35f5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-05-22T04:31:51Z","title_canon_sha256":"6370b09a92e245c52cb929b55382133924ca766c8bb16b99a6b043fa2f09c5e6"},"schema_version":"1.0","source":{"id":"1805.08387","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.08387","created_at":"2026-05-18T00:03:16Z"},{"alias_kind":"arxiv_version","alias_value":"1805.08387v2","created_at":"2026-05-18T00:03:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.08387","created_at":"2026-05-18T00:03:16Z"},{"alias_kind":"pith_short_12","alias_value":"4ZWOKKQ4W6WD","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"4ZWOKKQ4W6WD3WQ3","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"4ZWOKKQ4","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:a9cbecdf267c0a0624633783784bc1e3de33dcd6606cf636256b1e6727368c7f","target":"graph","created_at":"2026-05-18T00:03:16Z","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 measurements of the magnetic and nematic correlation lengths in a generalization of the two dimensional XY model on the square lattice are presented using classical Monte Carlo simulation. The full phase diagram is re-examined based on these correlation lengths, demonstrating their power in studying generalized XY models. The ratio between the correlation length and the lattice size has distinctive behaviors which can be used to distinguish different types of phase transition. More importantly, the magnetic correlation length give more insights into the tricritical region where the paramag","authors_text":"Dao Xuan Viet, Duong Xuan Nui, Hung T. Dang, Le Tuan, Nguyen Duc Trung Kien, Pham Thanh Huy","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-05-22T04:31:51Z","title":"Correlation length in a generalized two-dimensional XY model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.08387","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":"sha256:439c37e2ded80e3b36bd2f13e0fec818d73c3d29e2912e6b4a2f932cb321e64a","target":"record","created_at":"2026-05-18T00:03:16Z","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":"cead219786409a4da8cd59b7983ff5d05941a0d10d3e39d3b0b245bcf8ec35f5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-05-22T04:31:51Z","title_canon_sha256":"6370b09a92e245c52cb929b55382133924ca766c8bb16b99a6b043fa2f09c5e6"},"schema_version":"1.0","source":{"id":"1805.08387","kind":"arxiv","version":2}},"canonical_sha256":"e66ce52a1cb7ac3dda1bf3d1b90cf5603bc521af5db5de5657092df6f361f144","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e66ce52a1cb7ac3dda1bf3d1b90cf5603bc521af5db5de5657092df6f361f144","first_computed_at":"2026-05-18T00:03:16.457037Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:16.457037Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"It0gbLWQCcargxMjLwqAWGvaQp2ollZA+RdwX6WKU+2PncTiHbWJuOfCFzU0PvQbh2EukWPxz67aosfiuD8KAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:16.457458Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.08387","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:439c37e2ded80e3b36bd2f13e0fec818d73c3d29e2912e6b4a2f932cb321e64a","sha256:a9cbecdf267c0a0624633783784bc1e3de33dcd6606cf636256b1e6727368c7f"],"state_sha256":"0171f704df33f09dbd1d179ca1d3a2a51fa05ebd1e897e1ecd6945205311f1a1"}