{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:VC63XXA4Z6RECOKH75PJ5PFEMW","short_pith_number":"pith:VC63XXA4","schema_version":"1.0","canonical_sha256":"a8bdbbdc1ccfa2413947ff5e9ebca4659dab897c915b72e3d7b696c83d1e296a","source":{"kind":"arxiv","id":"1401.4210","version":1},"attestation_state":"computed","paper":{"title":"Lagrangian Cascade in Three-Dimensional Homogeneous and Isotropic Turbulence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Francois G. Schmitt, Y.X. Huang","submitted_at":"2014-01-17T00:20:01Z","abstract_excerpt":"In this work, the scaling statistics of the dissipation along Lagrangian trajectories are investigated  by using fluid tracer particles obtained from a high resolution direct numerical simulation with $Re_{\\lambda}=400$. Both the energy dissipation rate $\\epsilon$ and the local time averaged $\\epsilon_{\\tau}$ agree rather well with the lognormal distribution hypothesis. Several statistics are then examined. It is found that the autocorrelation function $\\rho(\\tau)$ of $\\ln(\\epsilon(t))$ and variance $\\sigma^2(\\tau)$ of $\\ln(\\epsilon_{\\tau}(t))$ obey a log-law with scaling exponent $\\beta'=\\bet"},"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":"1401.4210","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-01-17T00:20:01Z","cross_cats_sorted":[],"title_canon_sha256":"b043fddf7c4679e82dcbbf51a769960c35c2b9fe4d6c447103454679cd55aade","abstract_canon_sha256":"29cc1f1d92920d019cdabb62ace517217016d4c9c7a0f350546b636d09785c16"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:45:19.814290Z","signature_b64":"NOV9gLo0NVxROA5KO+dBc6LO7jwGVgDnlIrUsOKOfRlVbidbmQs/Qr1jDQjggPoEMPWtQJ4Mh+ncjveZLcEGDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a8bdbbdc1ccfa2413947ff5e9ebca4659dab897c915b72e3d7b696c83d1e296a","last_reissued_at":"2026-05-18T01:45:19.813817Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:45:19.813817Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lagrangian Cascade in Three-Dimensional Homogeneous and Isotropic Turbulence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Francois G. Schmitt, Y.X. Huang","submitted_at":"2014-01-17T00:20:01Z","abstract_excerpt":"In this work, the scaling statistics of the dissipation along Lagrangian trajectories are investigated  by using fluid tracer particles obtained from a high resolution direct numerical simulation with $Re_{\\lambda}=400$. Both the energy dissipation rate $\\epsilon$ and the local time averaged $\\epsilon_{\\tau}$ agree rather well with the lognormal distribution hypothesis. Several statistics are then examined. It is found that the autocorrelation function $\\rho(\\tau)$ of $\\ln(\\epsilon(t))$ and variance $\\sigma^2(\\tau)$ of $\\ln(\\epsilon_{\\tau}(t))$ obey a log-law with scaling exponent $\\beta'=\\bet"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.4210","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":"1401.4210","created_at":"2026-05-18T01:45:19.813889+00:00"},{"alias_kind":"arxiv_version","alias_value":"1401.4210v1","created_at":"2026-05-18T01:45:19.813889+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.4210","created_at":"2026-05-18T01:45:19.813889+00:00"},{"alias_kind":"pith_short_12","alias_value":"VC63XXA4Z6RE","created_at":"2026-05-18T12:28:52.271510+00:00"},{"alias_kind":"pith_short_16","alias_value":"VC63XXA4Z6RECOKH","created_at":"2026-05-18T12:28:52.271510+00:00"},{"alias_kind":"pith_short_8","alias_value":"VC63XXA4","created_at":"2026-05-18T12:28:52.271510+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/VC63XXA4Z6RECOKH75PJ5PFEMW","json":"https://pith.science/pith/VC63XXA4Z6RECOKH75PJ5PFEMW.json","graph_json":"https://pith.science/api/pith-number/VC63XXA4Z6RECOKH75PJ5PFEMW/graph.json","events_json":"https://pith.science/api/pith-number/VC63XXA4Z6RECOKH75PJ5PFEMW/events.json","paper":"https://pith.science/paper/VC63XXA4"},"agent_actions":{"view_html":"https://pith.science/pith/VC63XXA4Z6RECOKH75PJ5PFEMW","download_json":"https://pith.science/pith/VC63XXA4Z6RECOKH75PJ5PFEMW.json","view_paper":"https://pith.science/paper/VC63XXA4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1401.4210&json=true","fetch_graph":"https://pith.science/api/pith-number/VC63XXA4Z6RECOKH75PJ5PFEMW/graph.json","fetch_events":"https://pith.science/api/pith-number/VC63XXA4Z6RECOKH75PJ5PFEMW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VC63XXA4Z6RECOKH75PJ5PFEMW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VC63XXA4Z6RECOKH75PJ5PFEMW/action/storage_attestation","attest_author":"https://pith.science/pith/VC63XXA4Z6RECOKH75PJ5PFEMW/action/author_attestation","sign_citation":"https://pith.science/pith/VC63XXA4Z6RECOKH75PJ5PFEMW/action/citation_signature","submit_replication":"https://pith.science/pith/VC63XXA4Z6RECOKH75PJ5PFEMW/action/replication_record"}},"created_at":"2026-05-18T01:45:19.813889+00:00","updated_at":"2026-05-18T01:45:19.813889+00:00"}