{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:IJLLODKLO2HRT5MPJZHNKLKKAC","short_pith_number":"pith:IJLLODKL","schema_version":"1.0","canonical_sha256":"4256b70d4b768f19f58f4e4ed52d4a008e7e82ef23251dca40dffa23b4860516","source":{"kind":"arxiv","id":"1702.03574","version":1},"attestation_state":"computed","paper":{"title":"Hyperbolic Anosov C-systems. Exponential Decay of Correlation Functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP","nlin.CD"],"primary_cat":"math-ph","authors_text":"George Savvidy, Konstantin Savvidy","submitted_at":"2017-02-12T21:01:48Z","abstract_excerpt":"The uniformly hyperbolic Anosov C-systems defined on a torus have exponential instability of their trajectories, and as such C-systems have mixing of all orders and nonzero Kolmogorov entropy. The mixing property of all orders means that all its correlation functions tend to zero and the question of a fundamental interest is a speed at which they tend to zero. It was proven that the speed of decay in the C-systems is exponential, that is, the observables on the phase space become independent and uncorrelated exponentially fast. It is important to specify the properties of the C-system which qu"},"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":"1702.03574","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-02-12T21:01:48Z","cross_cats_sorted":["hep-th","math.MP","nlin.CD"],"title_canon_sha256":"b2906507f77dc0579770e993f2d0e711f688d891c28cff97f54cfa0a1b757229","abstract_canon_sha256":"aa5dff24fdcddd5c8672c2ccaf6bebe9d59e2ef65a6bd86dd2cbaba174c22eac"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:53.488508Z","signature_b64":"olfwGCnDGrEf9van5/W6cWuNFEpPTjONmIBoj7va0Z2DCLLxCCaeZFq2D5la/r7BVP5FWTRYMrzna9tgq1PmDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4256b70d4b768f19f58f4e4ed52d4a008e7e82ef23251dca40dffa23b4860516","last_reissued_at":"2026-05-18T00:50:53.487994Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:53.487994Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hyperbolic Anosov C-systems. Exponential Decay of Correlation Functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP","nlin.CD"],"primary_cat":"math-ph","authors_text":"George Savvidy, Konstantin Savvidy","submitted_at":"2017-02-12T21:01:48Z","abstract_excerpt":"The uniformly hyperbolic Anosov C-systems defined on a torus have exponential instability of their trajectories, and as such C-systems have mixing of all orders and nonzero Kolmogorov entropy. The mixing property of all orders means that all its correlation functions tend to zero and the question of a fundamental interest is a speed at which they tend to zero. It was proven that the speed of decay in the C-systems is exponential, that is, the observables on the phase space become independent and uncorrelated exponentially fast. It is important to specify the properties of the C-system which qu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.03574","kind":"arxiv","version":1},"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":"1702.03574","created_at":"2026-05-18T00:50:53.488067+00:00"},{"alias_kind":"arxiv_version","alias_value":"1702.03574v1","created_at":"2026-05-18T00:50:53.488067+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.03574","created_at":"2026-05-18T00:50:53.488067+00:00"},{"alias_kind":"pith_short_12","alias_value":"IJLLODKLO2HR","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_16","alias_value":"IJLLODKLO2HRT5MP","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_8","alias_value":"IJLLODKL","created_at":"2026-05-18T12:31:21.493067+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/IJLLODKLO2HRT5MPJZHNKLKKAC","json":"https://pith.science/pith/IJLLODKLO2HRT5MPJZHNKLKKAC.json","graph_json":"https://pith.science/api/pith-number/IJLLODKLO2HRT5MPJZHNKLKKAC/graph.json","events_json":"https://pith.science/api/pith-number/IJLLODKLO2HRT5MPJZHNKLKKAC/events.json","paper":"https://pith.science/paper/IJLLODKL"},"agent_actions":{"view_html":"https://pith.science/pith/IJLLODKLO2HRT5MPJZHNKLKKAC","download_json":"https://pith.science/pith/IJLLODKLO2HRT5MPJZHNKLKKAC.json","view_paper":"https://pith.science/paper/IJLLODKL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1702.03574&json=true","fetch_graph":"https://pith.science/api/pith-number/IJLLODKLO2HRT5MPJZHNKLKKAC/graph.json","fetch_events":"https://pith.science/api/pith-number/IJLLODKLO2HRT5MPJZHNKLKKAC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IJLLODKLO2HRT5MPJZHNKLKKAC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IJLLODKLO2HRT5MPJZHNKLKKAC/action/storage_attestation","attest_author":"https://pith.science/pith/IJLLODKLO2HRT5MPJZHNKLKKAC/action/author_attestation","sign_citation":"https://pith.science/pith/IJLLODKLO2HRT5MPJZHNKLKKAC/action/citation_signature","submit_replication":"https://pith.science/pith/IJLLODKLO2HRT5MPJZHNKLKKAC/action/replication_record"}},"created_at":"2026-05-18T00:50:53.488067+00:00","updated_at":"2026-05-18T00:50:53.488067+00:00"}