{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:4NFXJBZNKYYHUGKYFYGHQOEVQM","short_pith_number":"pith:4NFXJBZN","schema_version":"1.0","canonical_sha256":"e34b74872d56307a19582e0c78389583386798391eb899a91273e3881fbc0ab0","source":{"kind":"arxiv","id":"1202.1042","version":2},"attestation_state":"computed","paper":{"title":"Spin and chiral orderings of the antiferromagnetic XY model on the triangular lattice and their critical properties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Hikaru Kawamura, Tomoyuki Obuchi","submitted_at":"2012-02-06T03:54:12Z","abstract_excerpt":"We study the antiferromagnetic {\\it XY} model on a triangular lattice by extensive Monte Carlo simulations, focusing on its ordering and critical properties. Our result clearly shows that two separate transitions occur at two distinct temperatures, the one at a higher temperature is associated with a $Z_2$-symmetry breaking driven by the chirality, and the one at a lower temperature is associated with the onset of the quasi-long-range order of the {\\it XY} spin. We carefully examine the critical properties of each transition to find that the criticality of the chiral transition is consistent w"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1202.1042","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-02-06T03:54:12Z","cross_cats_sorted":[],"title_canon_sha256":"54fb03e5149736593da46fc5d0c9dd95c2111d6c6222d0cd4d9a8f28f2c528a0","abstract_canon_sha256":"1c4823540469e02b3ffe4ad21a18ccdcbbb2c560a7f13e35581600e6036860d4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:54:39.065601Z","signature_b64":"C2bnJFFX9MnkPdYjA+7xt9j6vFsGFkkrkzHAvRvbkdYYS7cLC160x6Y3MNQFbLPH0MpaYsoaDXUZBoFLuLeRCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e34b74872d56307a19582e0c78389583386798391eb899a91273e3881fbc0ab0","last_reissued_at":"2026-05-18T03:54:39.065005Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:54:39.065005Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spin and chiral orderings of the antiferromagnetic XY model on the triangular lattice and their critical properties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Hikaru Kawamura, Tomoyuki Obuchi","submitted_at":"2012-02-06T03:54:12Z","abstract_excerpt":"We study the antiferromagnetic {\\it XY} model on a triangular lattice by extensive Monte Carlo simulations, focusing on its ordering and critical properties. Our result clearly shows that two separate transitions occur at two distinct temperatures, the one at a higher temperature is associated with a $Z_2$-symmetry breaking driven by the chirality, and the one at a lower temperature is associated with the onset of the quasi-long-range order of the {\\it XY} spin. We carefully examine the critical properties of each transition to find that the criticality of the chiral transition is consistent w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.1042","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1202.1042","created_at":"2026-05-18T03:54:39.065084+00:00"},{"alias_kind":"arxiv_version","alias_value":"1202.1042v2","created_at":"2026-05-18T03:54:39.065084+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.1042","created_at":"2026-05-18T03:54:39.065084+00:00"},{"alias_kind":"pith_short_12","alias_value":"4NFXJBZNKYYH","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_16","alias_value":"4NFXJBZNKYYHUGKY","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_8","alias_value":"4NFXJBZN","created_at":"2026-05-18T12:26:53.410803+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4NFXJBZNKYYHUGKYFYGHQOEVQM","json":"https://pith.science/pith/4NFXJBZNKYYHUGKYFYGHQOEVQM.json","graph_json":"https://pith.science/api/pith-number/4NFXJBZNKYYHUGKYFYGHQOEVQM/graph.json","events_json":"https://pith.science/api/pith-number/4NFXJBZNKYYHUGKYFYGHQOEVQM/events.json","paper":"https://pith.science/paper/4NFXJBZN"},"agent_actions":{"view_html":"https://pith.science/pith/4NFXJBZNKYYHUGKYFYGHQOEVQM","download_json":"https://pith.science/pith/4NFXJBZNKYYHUGKYFYGHQOEVQM.json","view_paper":"https://pith.science/paper/4NFXJBZN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1202.1042&json=true","fetch_graph":"https://pith.science/api/pith-number/4NFXJBZNKYYHUGKYFYGHQOEVQM/graph.json","fetch_events":"https://pith.science/api/pith-number/4NFXJBZNKYYHUGKYFYGHQOEVQM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4NFXJBZNKYYHUGKYFYGHQOEVQM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4NFXJBZNKYYHUGKYFYGHQOEVQM/action/storage_attestation","attest_author":"https://pith.science/pith/4NFXJBZNKYYHUGKYFYGHQOEVQM/action/author_attestation","sign_citation":"https://pith.science/pith/4NFXJBZNKYYHUGKYFYGHQOEVQM/action/citation_signature","submit_replication":"https://pith.science/pith/4NFXJBZNKYYHUGKYFYGHQOEVQM/action/replication_record"}},"created_at":"2026-05-18T03:54:39.065084+00:00","updated_at":"2026-05-18T03:54:39.065084+00:00"}