{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:ASZB6YJ6PTBXOX6BUOY6RLA2FZ","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":"f9e773f2151b124c89f26958ecab7522d0b8b295c3bbeaeb2c8a4b087b924bf7","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"1998-10-31T18:04:42Z","title_canon_sha256":"d678d0f06ebdb65ccb5ab75776e6c2f8c374fa8db7436397b280da2cceab512a"},"schema_version":"1.0","source":{"id":"cond-mat/9811003","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9811003","created_at":"2026-05-18T04:17:04Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9811003v1","created_at":"2026-05-18T04:17:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9811003","created_at":"2026-05-18T04:17:04Z"},{"alias_kind":"pith_short_12","alias_value":"ASZB6YJ6PTBX","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"ASZB6YJ6PTBXOX6B","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"ASZB6YJ6","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:ad92760f208008dacfaa00a15580df16502867f1cff45701ab9901d5829e8eb5","target":"graph","created_at":"2026-05-18T04:17:04Z","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 two-dimensional (2D) Heisenberg magnet with a weak easy-plane anisotropy is considered. A renormalization group (RG) analysis in this model is performed for both quantum and classical cases. A crossover from the Heisenberg to 2D XY model is discussed. The magnetic transition owing to the interlayer coupling is considered. Analytical results for the Kosterlitz-Thouless and Curie (Neel) temperatures are derived with account of two-loop corrections. The results are compared with experimental data, e.g. on K2CuF4, and turn out to provide a quantitative description, unlike the standard one-loop","authors_text":"A.A.Katanin, V.Yu.Irkhin","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat","submitted_at":"1998-10-31T18:04:42Z","title":"The Kosterlitz-Thouless and magnetic transition temperatures in layered magnets with a weak easy-plane anisotropy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9811003","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":"sha256:16120f5b4e74306dc6bac6d7fd427820e985b567f6f1251d1b1ee9ca4d7d0775","target":"record","created_at":"2026-05-18T04:17:04Z","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":"f9e773f2151b124c89f26958ecab7522d0b8b295c3bbeaeb2c8a4b087b924bf7","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"1998-10-31T18:04:42Z","title_canon_sha256":"d678d0f06ebdb65ccb5ab75776e6c2f8c374fa8db7436397b280da2cceab512a"},"schema_version":"1.0","source":{"id":"cond-mat/9811003","kind":"arxiv","version":1}},"canonical_sha256":"04b21f613e7cc3775fc1a3b1e8ac1a2e7cb56486aaee04ce8c3173e48226cdc3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"04b21f613e7cc3775fc1a3b1e8ac1a2e7cb56486aaee04ce8c3173e48226cdc3","first_computed_at":"2026-05-18T04:17:04.889687Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:17:04.889687Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LCn4MWT0MqE0jCAvujR0IjNDdQsgi8W/mdLP7SHcmjWBHqTzahC1sN2vLvWNxq5kLxrS6jDlAt5g2RNrc4j3BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:17:04.890125Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/9811003","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:16120f5b4e74306dc6bac6d7fd427820e985b567f6f1251d1b1ee9ca4d7d0775","sha256:ad92760f208008dacfaa00a15580df16502867f1cff45701ab9901d5829e8eb5"],"state_sha256":"882837bba3333086618a89dc61abb67feff557bd505914e4ff374a097deaf656"}