{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:J2NSAGEKN2EOMWLAHABIKLLDYH","short_pith_number":"pith:J2NSAGEK","canonical_record":{"source":{"id":"1107.2077","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-07-11T17:41:11Z","cross_cats_sorted":[],"title_canon_sha256":"cd17cd5256c6b00674b8a054f057e4fc6c1dd5edb19c5c69c5973b1bbd920e1a","abstract_canon_sha256":"b84a8e5bef1837408fb64bfdd2dd6eae236798f949959d762fbab5ac8d59ba45"},"schema_version":"1.0"},"canonical_sha256":"4e9b20188a6e88e659603802852d63c1eabc969f7438adcb2998aca532bd2f37","source":{"kind":"arxiv","id":"1107.2077","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.2077","created_at":"2026-05-18T04:04:53Z"},{"alias_kind":"arxiv_version","alias_value":"1107.2077v2","created_at":"2026-05-18T04:04:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.2077","created_at":"2026-05-18T04:04:53Z"},{"alias_kind":"pith_short_12","alias_value":"J2NSAGEKN2EO","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"J2NSAGEKN2EOMWLA","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"J2NSAGEK","created_at":"2026-05-18T12:26:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:J2NSAGEKN2EOMWLAHABIKLLDYH","target":"record","payload":{"canonical_record":{"source":{"id":"1107.2077","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-07-11T17:41:11Z","cross_cats_sorted":[],"title_canon_sha256":"cd17cd5256c6b00674b8a054f057e4fc6c1dd5edb19c5c69c5973b1bbd920e1a","abstract_canon_sha256":"b84a8e5bef1837408fb64bfdd2dd6eae236798f949959d762fbab5ac8d59ba45"},"schema_version":"1.0"},"canonical_sha256":"4e9b20188a6e88e659603802852d63c1eabc969f7438adcb2998aca532bd2f37","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:04:53.335839Z","signature_b64":"q52n+u66WaH+hEpZyzMv8GRWhE10KI1GNBeUNTPD0wDU/AAiDSVdkFJginxZVfBJDyiNYqvJ1hyRXEoCONnQDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4e9b20188a6e88e659603802852d63c1eabc969f7438adcb2998aca532bd2f37","last_reissued_at":"2026-05-18T04:04:53.335002Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:04:53.335002Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.2077","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:04:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HdMbywRr444qJUDpkqZM5G3U5gR+72hj6i50AZP+biWlcXBnpCLcaykEeDX8l627GvkdSCECsTIm51wVYI+yCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-20T14:54:48.343189Z"},"content_sha256":"60b407c56ce4a8f394d75b5769b77183e3188af588418caf51cadfaab095b2d5","schema_version":"1.0","event_id":"sha256:60b407c56ce4a8f394d75b5769b77183e3188af588418caf51cadfaab095b2d5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:J2NSAGEKN2EOMWLAHABIKLLDYH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lyapunov statistics and mixing rates for intermittent systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Alberto Saa, Carlos J. A. Pires, Roberto Venegeroles","submitted_at":"2011-07-11T17:41:11Z","abstract_excerpt":"We consider here a recent conjecture stating that correlation functions and tail probabilities of finite time Lyapunov exponents would have the same power law decay in weakly chaotic systems. We demonstrate that this conjecture fails for a generic class of maps of the Pomeau-Manneville type. We show further that, typically, the decay properties of such tail probabilities do not provide significant information on key aspects of weakly chaotic dynamics such as ergodicity and instability regimes. Our approaches are firmly based on rigorous results, particularly the Aaronson-Darling-Kac theorem, a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.2077","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:04:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+qxz+dtubhV9JgxITooTvyKKo4fvilNIH02KHvifSgten/myX6q/qwfDDOBrNlApZkrGYOX06yVaZekA9DAqDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-20T14:54:48.343531Z"},"content_sha256":"487f377f3e77db613ad4f36d8126235198ccf69f2606df704786d2a15b173c33","schema_version":"1.0","event_id":"sha256:487f377f3e77db613ad4f36d8126235198ccf69f2606df704786d2a15b173c33"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J2NSAGEKN2EOMWLAHABIKLLDYH/bundle.json","state_url":"https://pith.science/pith/J2NSAGEKN2EOMWLAHABIKLLDYH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J2NSAGEKN2EOMWLAHABIKLLDYH/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-20T14:54:48Z","links":{"resolver":"https://pith.science/pith/J2NSAGEKN2EOMWLAHABIKLLDYH","bundle":"https://pith.science/pith/J2NSAGEKN2EOMWLAHABIKLLDYH/bundle.json","state":"https://pith.science/pith/J2NSAGEKN2EOMWLAHABIKLLDYH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J2NSAGEKN2EOMWLAHABIKLLDYH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:J2NSAGEKN2EOMWLAHABIKLLDYH","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":"b84a8e5bef1837408fb64bfdd2dd6eae236798f949959d762fbab5ac8d59ba45","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-07-11T17:41:11Z","title_canon_sha256":"cd17cd5256c6b00674b8a054f057e4fc6c1dd5edb19c5c69c5973b1bbd920e1a"},"schema_version":"1.0","source":{"id":"1107.2077","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.2077","created_at":"2026-05-18T04:04:53Z"},{"alias_kind":"arxiv_version","alias_value":"1107.2077v2","created_at":"2026-05-18T04:04:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.2077","created_at":"2026-05-18T04:04:53Z"},{"alias_kind":"pith_short_12","alias_value":"J2NSAGEKN2EO","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"J2NSAGEKN2EOMWLA","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"J2NSAGEK","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:487f377f3e77db613ad4f36d8126235198ccf69f2606df704786d2a15b173c33","target":"graph","created_at":"2026-05-18T04:04:53Z","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":"We consider here a recent conjecture stating that correlation functions and tail probabilities of finite time Lyapunov exponents would have the same power law decay in weakly chaotic systems. We demonstrate that this conjecture fails for a generic class of maps of the Pomeau-Manneville type. We show further that, typically, the decay properties of such tail probabilities do not provide significant information on key aspects of weakly chaotic dynamics such as ergodicity and instability regimes. Our approaches are firmly based on rigorous results, particularly the Aaronson-Darling-Kac theorem, a","authors_text":"Alberto Saa, Carlos J. A. Pires, Roberto Venegeroles","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-07-11T17:41:11Z","title":"Lyapunov statistics and mixing rates for intermittent systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.2077","kind":"arxiv","version":2},"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":"sha256:60b407c56ce4a8f394d75b5769b77183e3188af588418caf51cadfaab095b2d5","target":"record","created_at":"2026-05-18T04:04:53Z","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":"b84a8e5bef1837408fb64bfdd2dd6eae236798f949959d762fbab5ac8d59ba45","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-07-11T17:41:11Z","title_canon_sha256":"cd17cd5256c6b00674b8a054f057e4fc6c1dd5edb19c5c69c5973b1bbd920e1a"},"schema_version":"1.0","source":{"id":"1107.2077","kind":"arxiv","version":2}},"canonical_sha256":"4e9b20188a6e88e659603802852d63c1eabc969f7438adcb2998aca532bd2f37","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4e9b20188a6e88e659603802852d63c1eabc969f7438adcb2998aca532bd2f37","first_computed_at":"2026-05-18T04:04:53.335002Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:04:53.335002Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q52n+u66WaH+hEpZyzMv8GRWhE10KI1GNBeUNTPD0wDU/AAiDSVdkFJginxZVfBJDyiNYqvJ1hyRXEoCONnQDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:04:53.335839Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.2077","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:60b407c56ce4a8f394d75b5769b77183e3188af588418caf51cadfaab095b2d5","sha256:487f377f3e77db613ad4f36d8126235198ccf69f2606df704786d2a15b173c33"],"state_sha256":"8ab0b1be307e1d06fd92324767ac173e99942c7f5833a9f4d71f5ad09636d562"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qpr+URUR+aXXbkgcx/t2lBxDrm/T4mcQPp2rHkCIdMed+pBcm1QFG/O+jL8DtFYU74fG7D7CVg9yrk0WTNm+AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-20T14:54:48.345770Z","bundle_sha256":"bd940920ce957f39d17a72a1947b01d1361ca54f4c68189bc46db4b1ebf96bb7"}}