{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:PVTRADLIBXQE5U4227J5K3BOTB","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":"47f23e988ddb171dea76784539a16222c95ee100e41afe40c51ed3a4674dd264","cross_cats_sorted":["math.AP","nlin.CD","physics.ao-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2019-08-13T19:42:20Z","title_canon_sha256":"5786db8ec6688423e3e65a5b5d709a5a6d6be70e348f858e764277c6434edce5"},"schema_version":"1.0","source":{"id":"1908.04838","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.04838","created_at":"2026-07-05T01:55:42Z"},{"alias_kind":"arxiv_version","alias_value":"1908.04838v1","created_at":"2026-07-05T01:55:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.04838","created_at":"2026-07-05T01:55:42Z"},{"alias_kind":"pith_short_12","alias_value":"PVTRADLIBXQE","created_at":"2026-07-05T01:55:42Z"},{"alias_kind":"pith_short_16","alias_value":"PVTRADLIBXQE5U42","created_at":"2026-07-05T01:55:42Z"},{"alias_kind":"pith_short_8","alias_value":"PVTRADLI","created_at":"2026-07-05T01:55:42Z"}],"graph_snapshots":[{"event_id":"sha256:184ee87c50c59bf66e4650bc18151363868310b2363769cc07b8c877e72d4d33","target":"graph","created_at":"2026-07-05T01:55:42Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.04838/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Ruelle predicted that the maximal amplification of perturbations in homogeneous isotropic turbulence is exponential $e^{\\sigma \\sqrt{Re} t}$ (where $\\sigma \\sqrt{Re}$ is the maximal Liapunov exponent). In our earlier works, we predicted that the maximal amplification of perturbations in fully developed turbulence is faster than exponential $e^{\\sigma \\sqrt{Re} \\sqrt{t} +\\sigma_1 t}$. That is, we predicted superfast initial amplification of perturbations. Built upon our earlier numerical verification of our prediction, here we conduct a large numerical verification with resolution up to $2048^3","authors_text":"Arjun Berera, Richard D. J. G. Ho, Y. Charles Li, Z. C. Feng","cross_cats":["math.AP","nlin.CD","physics.ao-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2019-08-13T19:42:20Z","title":"Superfast amplification and superfast nonlinear saturation of perturbations as the mechanism of turbulence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.04838","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":"sha256:73a575cdb5c55b83fca586aeec28de71cb7c9c618e148e9b525100c8004bafbf","target":"record","created_at":"2026-07-05T01:55:42Z","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":"47f23e988ddb171dea76784539a16222c95ee100e41afe40c51ed3a4674dd264","cross_cats_sorted":["math.AP","nlin.CD","physics.ao-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2019-08-13T19:42:20Z","title_canon_sha256":"5786db8ec6688423e3e65a5b5d709a5a6d6be70e348f858e764277c6434edce5"},"schema_version":"1.0","source":{"id":"1908.04838","kind":"arxiv","version":1}},"canonical_sha256":"7d67100d680de04ed39ad7d3d56c2e9852de4ed0d4f33faa2e7333b4de9def1d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7d67100d680de04ed39ad7d3d56c2e9852de4ed0d4f33faa2e7333b4de9def1d","first_computed_at":"2026-07-05T01:55:42.580414Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:55:42.580414Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"b10HfQDhosKKx4x8OLdLlY4xG4MsiWBuRwtsjOr4ZwTmj9i9q7lEn2U0+XGWixBu2Kgq5CUeNN4ZOnmbdo0rDg==","signature_status":"signed_v1","signed_at":"2026-07-05T01:55:42.580957Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.04838","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:73a575cdb5c55b83fca586aeec28de71cb7c9c618e148e9b525100c8004bafbf","sha256:184ee87c50c59bf66e4650bc18151363868310b2363769cc07b8c877e72d4d33"],"state_sha256":"543d8414a3eda25b78fd58c70286dbcdc73eba170e4a82188679ed53b8adc81d"}