{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:Y5JUVAWPAFDJWWQTEBSAX3OQR4","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":"dc0903ecca88a3541b660e8d1626baf9ff9b8be37973a62a1983bd3b1532376d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-09-01T14:06:14Z","title_canon_sha256":"ff662f20bf8ecbac78300a794bf98c52c0de781e1c765bf795e9064ae02d8b8e"},"schema_version":"1.0","source":{"id":"1509.00302","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.00302","created_at":"2026-05-18T00:43:39Z"},{"alias_kind":"arxiv_version","alias_value":"1509.00302v2","created_at":"2026-05-18T00:43:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.00302","created_at":"2026-05-18T00:43:39Z"},{"alias_kind":"pith_short_12","alias_value":"Y5JUVAWPAFDJ","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"Y5JUVAWPAFDJWWQT","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"Y5JUVAWP","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:054c84736b3e5cc1d88a0f5a2669405b3ef0fc3c48f02425986b0558cb3604c6","target":"graph","created_at":"2026-05-18T00:43:39Z","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 Turitsyn, Chertkov, Vucelja (2011) a non-reversible Markov Chain Monte Carlo (MCMC) method on an augmented state space was introduced, here referred to as Lifted Metropolis-Hastings (LMH). A scaling limit of the magnetization process in the Curie-Weiss model is derived for LMH, as well as for Metropolis-Hastings (MH). The required jump rate in the high (supercritical) temperature regime equals $n^{1/2}$ for LMH, which should be compared to $n$ for MH. At the critical temperature the required jump rate equals $n^{3/4}$ for LMH and $n^{3/2}$ for MH, in agreement with experimental results of T","authors_text":"Gareth Roberts, Joris Bierkens","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-09-01T14:06:14Z","title":"A piecewise deterministic scaling limit of Lifted Metropolis-Hastings in the Curie-Weiss model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.00302","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":"sha256:4024ed158dd70b7e6da9dbb0fa31c9bf2de9c32738c6d3a1b8916a65ba04e2f3","target":"record","created_at":"2026-05-18T00:43:39Z","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":"dc0903ecca88a3541b660e8d1626baf9ff9b8be37973a62a1983bd3b1532376d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-09-01T14:06:14Z","title_canon_sha256":"ff662f20bf8ecbac78300a794bf98c52c0de781e1c765bf795e9064ae02d8b8e"},"schema_version":"1.0","source":{"id":"1509.00302","kind":"arxiv","version":2}},"canonical_sha256":"c7534a82cf01469b5a1320640bedd08f29b2940fe955f342610c43f58d7d5a27","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c7534a82cf01469b5a1320640bedd08f29b2940fe955f342610c43f58d7d5a27","first_computed_at":"2026-05-18T00:43:39.867749Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:39.867749Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2qTQGVBrxoJ1JywP7Rt4LSHSTP5iyq47SDfvY6gfXQIzeB1BHi3A3QMJWFnH7GYU8VdepN4YQ8SfJ/Lu0c1wCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:39.868172Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.00302","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4024ed158dd70b7e6da9dbb0fa31c9bf2de9c32738c6d3a1b8916a65ba04e2f3","sha256:054c84736b3e5cc1d88a0f5a2669405b3ef0fc3c48f02425986b0558cb3604c6"],"state_sha256":"654934d19033cd46557ce9b0f40b585b27026e6a547da6e083962db21106c9d1"}