{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:EMZODUPV4DGXXRHYVSKEMWGFBZ","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":"26959a63c3270c039fad5b93808393d6f63226f6feadd8ebb8ffcd9e416c22bb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-05-10T15:16:05Z","title_canon_sha256":"30aa450dc54bffc958f83946ff4c9de75d1d936f960573431180f89f70f7f443"},"schema_version":"1.0","source":{"id":"1805.04019","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.04019","created_at":"2026-05-17T23:58:41Z"},{"alias_kind":"arxiv_version","alias_value":"1805.04019v4","created_at":"2026-05-17T23:58:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.04019","created_at":"2026-05-17T23:58:41Z"},{"alias_kind":"pith_short_12","alias_value":"EMZODUPV4DGX","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"EMZODUPV4DGXXRHY","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"EMZODUPV","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:03c00723b33fa9d56c8a83d5c20e51626d70a5af9dc3d840855a11a1a17dd87c","target":"graph","created_at":"2026-05-17T23:58:41Z","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":"We introduce a natural way to extend celebrated spin-cluster Monte Carlo algorithms for fast thermal lattice simulations at criticality, like Wolff, to systems in arbitrary fields, be they linear magnetic vector fields or nonlinear anisotropic ones. By generalizing the 'ghost spin' representation to one with a 'ghost transformation,' global invariance to spin symmetry transformations is restored at the cost of an extra degree of freedom which lives in the space of symmetry transformations. The ordinary cluster-building process can then be run on the new representation. We show that this extens","authors_text":"James P Sethna, Jaron Kent-Dobias","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-05-10T15:16:05Z","title":"Cluster representations and the Wolff algorithm in arbitrary external fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.04019","kind":"arxiv","version":4},"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:a5d2a8bd6002a41f30e028bd7d45bca4020b0d7f1ed23cbb936a91d9b272fa7d","target":"record","created_at":"2026-05-17T23:58:41Z","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":"26959a63c3270c039fad5b93808393d6f63226f6feadd8ebb8ffcd9e416c22bb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-05-10T15:16:05Z","title_canon_sha256":"30aa450dc54bffc958f83946ff4c9de75d1d936f960573431180f89f70f7f443"},"schema_version":"1.0","source":{"id":"1805.04019","kind":"arxiv","version":4}},"canonical_sha256":"2332e1d1f5e0cd7bc4f8ac944658c50e51257e2a3031e9bccb1fb9f82b3b1ee2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2332e1d1f5e0cd7bc4f8ac944658c50e51257e2a3031e9bccb1fb9f82b3b1ee2","first_computed_at":"2026-05-17T23:58:41.477473Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:58:41.477473Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vF/USN3dk87IQrLKWWsBkfNgpl3Ev++QIkJ3jcqnLZR7LyvYDMJynEsqRgh0vMKmziDaw/lWe3mc/v1xViAkDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:58:41.478206Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.04019","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a5d2a8bd6002a41f30e028bd7d45bca4020b0d7f1ed23cbb936a91d9b272fa7d","sha256:03c00723b33fa9d56c8a83d5c20e51626d70a5af9dc3d840855a11a1a17dd87c"],"state_sha256":"ebb673b4824e004a4c72fd73e73acf4c73e129df0cb8663d9c85b2fefb435c05"}