{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:GH4EDVIF3YNQPP26QMJN6V6RXI","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":"5d3245e7e00cb33e9467da3665ee371d6b1b9c08b282d4b2eb9ac763f01acd67","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-12-18T12:59:59Z","title_canon_sha256":"6f25947ba96b992ee0d4b633947aa1569e310b68d7e8dcd65d5ec9244e8d0ccd"},"schema_version":"1.0","source":{"id":"1812.07340","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.07340","created_at":"2026-05-17T23:58:00Z"},{"alias_kind":"arxiv_version","alias_value":"1812.07340v1","created_at":"2026-05-17T23:58:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.07340","created_at":"2026-05-17T23:58:00Z"},{"alias_kind":"pith_short_12","alias_value":"GH4EDVIF3YNQ","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GH4EDVIF3YNQPP26","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GH4EDVIF","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:c519f28331d51a8b1cc926786603fc3a8e189a7590f01937a24d49f8aebd2160","target":"graph","created_at":"2026-05-17T23:58:00Z","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 extend the recent spectral approach for quenched limit theorems developed for piecewise expanding dynamics under general random driving [DrFrGTVa18] to quenched random piecewise hyperbolic dynamics including some classes of billiards. For general ergodic sequences of maps in a neighbourhood of a hyperbolic map we prove a quenched large deviations principle (LDP), central limit theorem (CLT), and local central limit theorem (LCLT).","authors_text":"C. Gonz\\'alez-Tokman, D. Dragi\\v{c}evi\\'c, G. Froyland, S. Vaienti","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-12-18T12:59:59Z","title":"A spectral approach for quenched limit theorems for random hyperbolic dynamical systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.07340","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":"sha256:977fd7d2d699ff6ecc53db1b4b0baf8abcb7441cf1d49d5667a58ce480610d73","target":"record","created_at":"2026-05-17T23:58:00Z","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":"5d3245e7e00cb33e9467da3665ee371d6b1b9c08b282d4b2eb9ac763f01acd67","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-12-18T12:59:59Z","title_canon_sha256":"6f25947ba96b992ee0d4b633947aa1569e310b68d7e8dcd65d5ec9244e8d0ccd"},"schema_version":"1.0","source":{"id":"1812.07340","kind":"arxiv","version":1}},"canonical_sha256":"31f841d505de1b07bf5e8312df57d1ba1d2d7aeb26ce9cb5ba42250ceb49dc25","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"31f841d505de1b07bf5e8312df57d1ba1d2d7aeb26ce9cb5ba42250ceb49dc25","first_computed_at":"2026-05-17T23:58:00.758875Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:58:00.758875Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oHXzFJob8dvXeu+aqhYHZ6DAcSfVXDhqHUz1+WUGGp+U6uvZJVUvQaaXQzRYlVM1jTTbXeXE3O0IoSJ2VHMkCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:58:00.759574Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.07340","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:977fd7d2d699ff6ecc53db1b4b0baf8abcb7441cf1d49d5667a58ce480610d73","sha256:c519f28331d51a8b1cc926786603fc3a8e189a7590f01937a24d49f8aebd2160"],"state_sha256":"8452416c95aedb312ae2d462e1935f7f48ab7fb4aa42aa11e3af759d31511cf2"}