{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:FFXREW6S3XYCNEQHQYU7E3MBKN","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":"678d5d2ce92f498f9f44d3a1bacf57bfa3a38576a8e8a41c1730bdb74a5975fb","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1998-03-18T22:38:09Z","title_canon_sha256":"87cb7bc04f35d1684f596ed0f5aaafb25cbcb970eabad2168c6be162054f0409"},"schema_version":"1.0","source":{"id":"cond-mat/9803229","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9803229","created_at":"2026-05-18T01:39:30Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9803229v1","created_at":"2026-05-18T01:39:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9803229","created_at":"2026-05-18T01:39:30Z"},{"alias_kind":"pith_short_12","alias_value":"FFXREW6S3XYC","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"FFXREW6S3XYCNEQH","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"FFXREW6S","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:05bf827633a2218a7f13e66ed3d9e8de1202fbbcac575b8569089a3ce2a20a12","target":"graph","created_at":"2026-05-18T01:39:30Z","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 field-dependent magnetization m(H,T) of 1- and 2-dimensional classical magnets described by the $D$-component vector model is calculated analytically in the whole range of temperature and magnetic fields with the help of the 1/D expansion. In the 1-st order in 1/D the theory reproduces with a good accuracy the temperature dependence of the zero-field susceptibility of antiferromagnets \\chi with the maximum at T \\lsim |J_0|/D (J_0 is the Fourier component of the exchange interaction) and describes for the first time the singular behavior of \\chi(H,T) at small temperatures and magnetic field","authors_text":"D. A. Garanin","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1998-03-18T22:38:09Z","title":"The 1/D Expansion for Classical Magnets: Low-Dimensional Models with Magnetic Field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9803229","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":"sha256:07eacdc8f2a54b6df4480a7d39c7e44e49cb18a28b8e01b5d80bacf3b1762ae9","target":"record","created_at":"2026-05-18T01:39:30Z","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":"678d5d2ce92f498f9f44d3a1bacf57bfa3a38576a8e8a41c1730bdb74a5975fb","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1998-03-18T22:38:09Z","title_canon_sha256":"87cb7bc04f35d1684f596ed0f5aaafb25cbcb970eabad2168c6be162054f0409"},"schema_version":"1.0","source":{"id":"cond-mat/9803229","kind":"arxiv","version":1}},"canonical_sha256":"296f125bd2ddf02692078629f26d81537f3c42179f14fc42edb1b68ca5c48392","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"296f125bd2ddf02692078629f26d81537f3c42179f14fc42edb1b68ca5c48392","first_computed_at":"2026-05-18T01:39:30.908772Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:30.908772Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TmmfBoQ8Suyz8K69vfGnGHH9WJ7Dlfjg2o9ozuyPZERbAl6rYYUmZ/oJ85Vjdsy612Nx8ajmx5jYFCwx5oWZAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:30.909466Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/9803229","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:07eacdc8f2a54b6df4480a7d39c7e44e49cb18a28b8e01b5d80bacf3b1762ae9","sha256:05bf827633a2218a7f13e66ed3d9e8de1202fbbcac575b8569089a3ce2a20a12"],"state_sha256":"1e1ef7790a03bab07b5672ccab48fdfe541ada37991860eaa7ef2301eec3c1e6"}