{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:CCBEMBQXXABC5YM252G2T75UHO","short_pith_number":"pith:CCBEMBQX","schema_version":"1.0","canonical_sha256":"1082460617b8022ee19aee8da9ffb43bab3c565e7d1ffdceefb8ff6f4e4c1bee","source":{"kind":"arxiv","id":"1408.5453","version":3},"attestation_state":"computed","paper":{"title":"Limit Theorems for Fast-slow partially hyperbolic systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Carlangelo Liverani, Jacopo De Simoi","submitted_at":"2014-08-23T03:16:08Z","abstract_excerpt":"We prove several limit theorems for a simple class of partially hyperbolic fast-slow systems. We start with some well know results on averaging, then we give a substantial refinement of known large (and moderate) deviation results and conclude with a completely new result (a local limit theorem) on the distribution of the process determined by the fluctuations around the average. The method of proof is based on a mixture of standard pairs and Transfer Operators that we expect to be applicable in a much wider generality."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1408.5453","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-08-23T03:16:08Z","cross_cats_sorted":[],"title_canon_sha256":"42ae88154f750f889d9b003295e59832fb2d6792eef67f2e9cc25964defbf126","abstract_canon_sha256":"5e653884ac9cb16821270dc26d8c087796720b31569d107de5d49d470f0d1b69"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:31:29.198869Z","signature_b64":"SEDDppazK7GQZ9dfF53qhpzNwf1juX8iIXqZbtGq9l3TYE86/wBqReiIlgT/UJCwyMk8/6sHwotC6nfbaKdgAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1082460617b8022ee19aee8da9ffb43bab3c565e7d1ffdceefb8ff6f4e4c1bee","last_reissued_at":"2026-05-18T00:31:29.198328Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:31:29.198328Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Limit Theorems for Fast-slow partially hyperbolic systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Carlangelo Liverani, Jacopo De Simoi","submitted_at":"2014-08-23T03:16:08Z","abstract_excerpt":"We prove several limit theorems for a simple class of partially hyperbolic fast-slow systems. We start with some well know results on averaging, then we give a substantial refinement of known large (and moderate) deviation results and conclude with a completely new result (a local limit theorem) on the distribution of the process determined by the fluctuations around the average. The method of proof is based on a mixture of standard pairs and Transfer Operators that we expect to be applicable in a much wider generality."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.5453","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1408.5453","created_at":"2026-05-18T00:31:29.198419+00:00"},{"alias_kind":"arxiv_version","alias_value":"1408.5453v3","created_at":"2026-05-18T00:31:29.198419+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.5453","created_at":"2026-05-18T00:31:29.198419+00:00"},{"alias_kind":"pith_short_12","alias_value":"CCBEMBQXXABC","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_16","alias_value":"CCBEMBQXXABC5YM2","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_8","alias_value":"CCBEMBQX","created_at":"2026-05-18T12:28:22.404517+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CCBEMBQXXABC5YM252G2T75UHO","json":"https://pith.science/pith/CCBEMBQXXABC5YM252G2T75UHO.json","graph_json":"https://pith.science/api/pith-number/CCBEMBQXXABC5YM252G2T75UHO/graph.json","events_json":"https://pith.science/api/pith-number/CCBEMBQXXABC5YM252G2T75UHO/events.json","paper":"https://pith.science/paper/CCBEMBQX"},"agent_actions":{"view_html":"https://pith.science/pith/CCBEMBQXXABC5YM252G2T75UHO","download_json":"https://pith.science/pith/CCBEMBQXXABC5YM252G2T75UHO.json","view_paper":"https://pith.science/paper/CCBEMBQX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1408.5453&json=true","fetch_graph":"https://pith.science/api/pith-number/CCBEMBQXXABC5YM252G2T75UHO/graph.json","fetch_events":"https://pith.science/api/pith-number/CCBEMBQXXABC5YM252G2T75UHO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CCBEMBQXXABC5YM252G2T75UHO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CCBEMBQXXABC5YM252G2T75UHO/action/storage_attestation","attest_author":"https://pith.science/pith/CCBEMBQXXABC5YM252G2T75UHO/action/author_attestation","sign_citation":"https://pith.science/pith/CCBEMBQXXABC5YM252G2T75UHO/action/citation_signature","submit_replication":"https://pith.science/pith/CCBEMBQXXABC5YM252G2T75UHO/action/replication_record"}},"created_at":"2026-05-18T00:31:29.198419+00:00","updated_at":"2026-05-18T00:31:29.198419+00:00"}