{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:W6S64IC6Z7QZCZPHYCDXW6FHUM","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":"4c0ad8e36b295488bab15e14478b58746e35ad6df2250e753aebf21572e0456b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-01-30T14:01:39Z","title_canon_sha256":"4286ed981cf7407dbcf16cb0f1e52a4b3d99fb6f51013aae95fc20770220f5ba"},"schema_version":"1.0","source":{"id":"1501.07777","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.07777","created_at":"2026-05-18T02:28:06Z"},{"alias_kind":"arxiv_version","alias_value":"1501.07777v2","created_at":"2026-05-18T02:28:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.07777","created_at":"2026-05-18T02:28:06Z"},{"alias_kind":"pith_short_12","alias_value":"W6S64IC6Z7QZ","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"W6S64IC6Z7QZCZPH","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"W6S64IC6","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:e58e46599ab20279a9279d433feb81bbac5778c7d7903e1bddae7270d2278095","target":"graph","created_at":"2026-05-18T02:28:06Z","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":"In this work we investigate the Blume-Capel model with infinite-range ferromagnetic interactions and under the influence of a quenched disorder - a random crystal field. For a suitable choice of the random crystal field the model displays a wealth of multicritical behavior, continuous and first-order transition lines, as well as re-entrant behavior. The resulting phase diagrams show a variety of topologies as a function of the disorder parameter $\\textit{p}$. A comparison with recent results on the Blume-Capel model in random crystal field is discussed.","authors_text":"Francisco A. da Costa, Jo\\~ao M. de Ara\\'ujo, Priscila V. dos Santos","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-01-30T14:01:39Z","title":"Mean-field solution of the Blume-Capel model under a random crystal field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.07777","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":"sha256:1f41f04141e17f760cfb65f79ff83b95c497e519f27b6e613815c0c11f123dc1","target":"record","created_at":"2026-05-18T02:28:06Z","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":"4c0ad8e36b295488bab15e14478b58746e35ad6df2250e753aebf21572e0456b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-01-30T14:01:39Z","title_canon_sha256":"4286ed981cf7407dbcf16cb0f1e52a4b3d99fb6f51013aae95fc20770220f5ba"},"schema_version":"1.0","source":{"id":"1501.07777","kind":"arxiv","version":2}},"canonical_sha256":"b7a5ee205ecfe19165e7c0877b78a7a31b785180293b9223a6e97a8406910651","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b7a5ee205ecfe19165e7c0877b78a7a31b785180293b9223a6e97a8406910651","first_computed_at":"2026-05-18T02:28:06.570287Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:28:06.570287Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1XMuYie13HS7TK+RHvphgHKA4Lw3BWOifXsxowRI6ccZ3dRXeKdEk141V2qzI5VOS4hxpNbMnYD8cRKX/NrgCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:28:06.570666Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.07777","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f41f04141e17f760cfb65f79ff83b95c497e519f27b6e613815c0c11f123dc1","sha256:e58e46599ab20279a9279d433feb81bbac5778c7d7903e1bddae7270d2278095"],"state_sha256":"e740e5f5f33df689b0351ce9f39e63d5cdad63d5bb32612030fdf488a0377013"}