{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:EJIEXZ7V2H5OTMLB2GPFPRAXVW","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":"51c47e6515d7621d67adb7f5b7b8ac367b4cdd1d1cc6c45e01eb95ffcc8f2915","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-12-08T16:16:51Z","title_canon_sha256":"6da79f525dff8660b760367a0d00ce67ecfffc5c0fa575602586dee9bc461b45"},"schema_version":"1.0","source":{"id":"1412.2644","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.2644","created_at":"2026-05-18T02:31:49Z"},{"alias_kind":"arxiv_version","alias_value":"1412.2644v1","created_at":"2026-05-18T02:31:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.2644","created_at":"2026-05-18T02:31:49Z"},{"alias_kind":"pith_short_12","alias_value":"EJIEXZ7V2H5O","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"EJIEXZ7V2H5OTMLB","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"EJIEXZ7V","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:7c692fea5817e5ee87d9dc6a7cd8d489cb93a0eb9129c2cf3ad190365bf59f02","target":"graph","created_at":"2026-05-18T02:31:49Z","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 study the real valued process $ \\{X_t, t\\in {\\mathbb N}\\} $ defined by $X_{t+2} = \\varphi(X_t,X_{t+1})$, where the $X_t$ are bounded. We aim at proving the decay of correlations for this model, under regularity assumptions on the transformation $\\varphi$.","authors_text":"Alain Ninet, Jules Maes, Lisette Jager","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-12-08T16:16:51Z","title":"Exponential decay of correlations for a real valued dynamical system embedded in $\\mathbb R^2$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.2644","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:f3a1e1a9cd8946874fde670c071ede882175f1546752c84e9a92a261fe20990d","target":"record","created_at":"2026-05-18T02:31:49Z","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":"51c47e6515d7621d67adb7f5b7b8ac367b4cdd1d1cc6c45e01eb95ffcc8f2915","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-12-08T16:16:51Z","title_canon_sha256":"6da79f525dff8660b760367a0d00ce67ecfffc5c0fa575602586dee9bc461b45"},"schema_version":"1.0","source":{"id":"1412.2644","kind":"arxiv","version":1}},"canonical_sha256":"22504be7f5d1fae9b161d19e57c417ad88633a74aba96084e69f111f5ff1e13a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"22504be7f5d1fae9b161d19e57c417ad88633a74aba96084e69f111f5ff1e13a","first_computed_at":"2026-05-18T02:31:49.122045Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:31:49.122045Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZnVrNgPXhMRDPDfmi4OUukgZ9Lt2yiD4WdBQCbZEP1Yvzg9116a1u0ggXsU5XwIjfieEmly1s69bUg54QRmsBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:31:49.122824Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.2644","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f3a1e1a9cd8946874fde670c071ede882175f1546752c84e9a92a261fe20990d","sha256:7c692fea5817e5ee87d9dc6a7cd8d489cb93a0eb9129c2cf3ad190365bf59f02"],"state_sha256":"5ba5d52f4fa0154e63daba67795bf1ef45075c50f1ba9a3cd1a849f691293cc1"}