{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:E5LGCTVXK74B5NQ2RGPKKQHWS2","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":"fcd0d1b78e07a5ff34a72550be0a7b5ba460896be8dfc03f7cf2db6ba1c778f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-07-04T16:11:37Z","title_canon_sha256":"18f19ead1366c8a0186f6ba03531a709d090166b758375f7a1c803b1e01c40ea"},"schema_version":"1.0","source":{"id":"1107.0671","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.0671","created_at":"2026-05-18T04:18:53Z"},{"alias_kind":"arxiv_version","alias_value":"1107.0671v1","created_at":"2026-05-18T04:18:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.0671","created_at":"2026-05-18T04:18:53Z"},{"alias_kind":"pith_short_12","alias_value":"E5LGCTVXK74B","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"E5LGCTVXK74B5NQ2","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"E5LGCTVX","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:fe1f15987b79f3f1ffa07e5352f093195c095edf547cfef824198180915c48eb","target":"graph","created_at":"2026-05-18T04:18:53Z","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 the present paper we prove moderate deviations for a Curie-Weiss model with external magnetic field generated by a dynamical system, as introduced by Dombry and Guillotin-Plantard. The results extend those already obtained in the case of a constant external field by Eichelsbacher and L\\\"owe. The Curie-Weiss model with dynamic external field is related to the so called dynamic Z-random walks. We also prove a moderate deviation result for the dynamic Z-random walk, completing the list of limit theorems for this object.","authors_text":"Anselm Reichenbachs","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-07-04T16:11:37Z","title":"Moderate Deviations for a Curie-Weiss model with dynamical external field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.0671","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:adf1b2f88928bd1b45e5cf03c52f77370c78079feedb79a71ab71f09bd50b0b6","target":"record","created_at":"2026-05-18T04:18:53Z","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":"fcd0d1b78e07a5ff34a72550be0a7b5ba460896be8dfc03f7cf2db6ba1c778f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-07-04T16:11:37Z","title_canon_sha256":"18f19ead1366c8a0186f6ba03531a709d090166b758375f7a1c803b1e01c40ea"},"schema_version":"1.0","source":{"id":"1107.0671","kind":"arxiv","version":1}},"canonical_sha256":"2756614eb757f81eb61a899ea540f6969c2ac9d707658db0e7971d0a1dfb11ba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2756614eb757f81eb61a899ea540f6969c2ac9d707658db0e7971d0a1dfb11ba","first_computed_at":"2026-05-18T04:18:53.621112Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:18:53.621112Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KxLsPdfvSwFCWL9kEImCtDq0texmBlJQkhtV3JQ/dUQmdyJy2zeou6vjuQJwm4NXG/DskAypvjnjGdAf8WmQCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:18:53.621578Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.0671","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:adf1b2f88928bd1b45e5cf03c52f77370c78079feedb79a71ab71f09bd50b0b6","sha256:fe1f15987b79f3f1ffa07e5352f093195c095edf547cfef824198180915c48eb"],"state_sha256":"d0735a98629a1606be9b93184ded02947d2e23f1a642996f327529fea397d144"}