{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:5R3DUWKTV3P3UUEHOSNDGCSZNK","short_pith_number":"pith:5R3DUWKT","schema_version":"1.0","canonical_sha256":"ec763a5953aedfba5087749a330a596aa75b83d96ad36dfb48d65c748286532b","source":{"kind":"arxiv","id":"1608.02464","version":1},"attestation_state":"computed","paper":{"title":"Restricted Euler dynamics along trajectories of small inertial particles in turbulence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Charles Meneveau, Perry L. Johnson","submitted_at":"2016-08-08T14:50:03Z","abstract_excerpt":"The fate of small particles in turbulent flows depends strongly on the surrounding fluid's velocity gradient properties such as rotation and strain-rates. For non-inertial (fluid) particles, the Restricted Euler model provides a simple, low-dimensional dynamical system representation of Lagrangian evolution of velocity gradients in fluid turbulence, at least for short times. Here we derive a new restricted Euler dynamical system for the velocity gradient evolution of inertial particles such as solid particles in a gas or droplets and bubbles in turbulent liquid flows. The model is derived in t"},"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":"1608.02464","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-08-08T14:50:03Z","cross_cats_sorted":[],"title_canon_sha256":"7a9618d3a86098124b7d069bf73eaab75730ee260a44c51ad7b687d584328315","abstract_canon_sha256":"86087fdaf0a49272b79fd28daeccec5740aac497595d6211f9572ecfc111651e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:47:13.493897Z","signature_b64":"CWqUMWpWZkkmjss7VjxxTH9hB2ALFSysUHay2JsXB1jeWWnXvpmIjXmkvFy6ltKJUNk2o82SSvkSfId4UtUNAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ec763a5953aedfba5087749a330a596aa75b83d96ad36dfb48d65c748286532b","last_reissued_at":"2026-05-18T00:47:13.493272Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:47:13.493272Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Restricted Euler dynamics along trajectories of small inertial particles in turbulence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Charles Meneveau, Perry L. Johnson","submitted_at":"2016-08-08T14:50:03Z","abstract_excerpt":"The fate of small particles in turbulent flows depends strongly on the surrounding fluid's velocity gradient properties such as rotation and strain-rates. For non-inertial (fluid) particles, the Restricted Euler model provides a simple, low-dimensional dynamical system representation of Lagrangian evolution of velocity gradients in fluid turbulence, at least for short times. Here we derive a new restricted Euler dynamical system for the velocity gradient evolution of inertial particles such as solid particles in a gas or droplets and bubbles in turbulent liquid flows. The model is derived in t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.02464","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":"1608.02464","created_at":"2026-05-18T00:47:13.493387+00:00"},{"alias_kind":"arxiv_version","alias_value":"1608.02464v1","created_at":"2026-05-18T00:47:13.493387+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.02464","created_at":"2026-05-18T00:47:13.493387+00:00"},{"alias_kind":"pith_short_12","alias_value":"5R3DUWKTV3P3","created_at":"2026-05-18T12:30:01.593930+00:00"},{"alias_kind":"pith_short_16","alias_value":"5R3DUWKTV3P3UUEH","created_at":"2026-05-18T12:30:01.593930+00:00"},{"alias_kind":"pith_short_8","alias_value":"5R3DUWKT","created_at":"2026-05-18T12:30:01.593930+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/5R3DUWKTV3P3UUEHOSNDGCSZNK","json":"https://pith.science/pith/5R3DUWKTV3P3UUEHOSNDGCSZNK.json","graph_json":"https://pith.science/api/pith-number/5R3DUWKTV3P3UUEHOSNDGCSZNK/graph.json","events_json":"https://pith.science/api/pith-number/5R3DUWKTV3P3UUEHOSNDGCSZNK/events.json","paper":"https://pith.science/paper/5R3DUWKT"},"agent_actions":{"view_html":"https://pith.science/pith/5R3DUWKTV3P3UUEHOSNDGCSZNK","download_json":"https://pith.science/pith/5R3DUWKTV3P3UUEHOSNDGCSZNK.json","view_paper":"https://pith.science/paper/5R3DUWKT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1608.02464&json=true","fetch_graph":"https://pith.science/api/pith-number/5R3DUWKTV3P3UUEHOSNDGCSZNK/graph.json","fetch_events":"https://pith.science/api/pith-number/5R3DUWKTV3P3UUEHOSNDGCSZNK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5R3DUWKTV3P3UUEHOSNDGCSZNK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5R3DUWKTV3P3UUEHOSNDGCSZNK/action/storage_attestation","attest_author":"https://pith.science/pith/5R3DUWKTV3P3UUEHOSNDGCSZNK/action/author_attestation","sign_citation":"https://pith.science/pith/5R3DUWKTV3P3UUEHOSNDGCSZNK/action/citation_signature","submit_replication":"https://pith.science/pith/5R3DUWKTV3P3UUEHOSNDGCSZNK/action/replication_record"}},"created_at":"2026-05-18T00:47:13.493387+00:00","updated_at":"2026-05-18T00:47:13.493387+00:00"}