{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:GPH62RDB35CHEWTDKCF6SHCL5I","short_pith_number":"pith:GPH62RDB","schema_version":"1.0","canonical_sha256":"33cfed4461df44725a63508be91c4bea3ae1b281740394ff8037c8ae1a95b154","source":{"kind":"arxiv","id":"1808.07948","version":1},"attestation_state":"computed","paper":{"title":"Statistical State Dynamics Based Study of the Role of Nonlinearity in the Maintenance of Turbulence in Couette Flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Brian F. Farrell, Marios-Andreas Nikolaidis, Petros J. Ioannou","submitted_at":"2018-08-23T21:05:30Z","abstract_excerpt":"While linear non-normality underlies the mechanism of energy transfer from the externally driven flow to the perturbation field that sustains turbulence, nonlinearity is also known to play an essential role. The goal of this study is to better understand the role of nonlinearity in sustaining turbulence. The method used in this study is implementation in Couette flow of a statistical state dynamics (SSD) closure at second order in a cumulant expansion of the Navier-Stokes equations in which the averaging operator is the streamwise mean. The perturbations are the deviations from the streamwise "},"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":"1808.07948","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-08-23T21:05:30Z","cross_cats_sorted":[],"title_canon_sha256":"e14d53f4652da72a5853d4284f8cd45c52e9a7eef98ea3058f7c46bc24aa4b1a","abstract_canon_sha256":"107780270414f18d10a83b2cfea2f1a00e548af0e42386e1b8a6230c4cfdf623"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:07:22.922279Z","signature_b64":"CmbXchrP5lgJjbJm/pZxwqn5bsww4OD+SCEuPzFpSMKLo7nyWIbgmRS9XPHL7RWrW0VAxenwBHyHK2S4WS2EAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"33cfed4461df44725a63508be91c4bea3ae1b281740394ff8037c8ae1a95b154","last_reissued_at":"2026-05-18T00:07:22.921561Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:07:22.921561Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Statistical State Dynamics Based Study of the Role of Nonlinearity in the Maintenance of Turbulence in Couette Flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Brian F. Farrell, Marios-Andreas Nikolaidis, Petros J. Ioannou","submitted_at":"2018-08-23T21:05:30Z","abstract_excerpt":"While linear non-normality underlies the mechanism of energy transfer from the externally driven flow to the perturbation field that sustains turbulence, nonlinearity is also known to play an essential role. The goal of this study is to better understand the role of nonlinearity in sustaining turbulence. The method used in this study is implementation in Couette flow of a statistical state dynamics (SSD) closure at second order in a cumulant expansion of the Navier-Stokes equations in which the averaging operator is the streamwise mean. The perturbations are the deviations from the streamwise "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.07948","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":"1808.07948","created_at":"2026-05-18T00:07:22.921692+00:00"},{"alias_kind":"arxiv_version","alias_value":"1808.07948v1","created_at":"2026-05-18T00:07:22.921692+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.07948","created_at":"2026-05-18T00:07:22.921692+00:00"},{"alias_kind":"pith_short_12","alias_value":"GPH62RDB35CH","created_at":"2026-05-18T12:32:25.280505+00:00"},{"alias_kind":"pith_short_16","alias_value":"GPH62RDB35CHEWTD","created_at":"2026-05-18T12:32:25.280505+00:00"},{"alias_kind":"pith_short_8","alias_value":"GPH62RDB","created_at":"2026-05-18T12:32:25.280505+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/GPH62RDB35CHEWTDKCF6SHCL5I","json":"https://pith.science/pith/GPH62RDB35CHEWTDKCF6SHCL5I.json","graph_json":"https://pith.science/api/pith-number/GPH62RDB35CHEWTDKCF6SHCL5I/graph.json","events_json":"https://pith.science/api/pith-number/GPH62RDB35CHEWTDKCF6SHCL5I/events.json","paper":"https://pith.science/paper/GPH62RDB"},"agent_actions":{"view_html":"https://pith.science/pith/GPH62RDB35CHEWTDKCF6SHCL5I","download_json":"https://pith.science/pith/GPH62RDB35CHEWTDKCF6SHCL5I.json","view_paper":"https://pith.science/paper/GPH62RDB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1808.07948&json=true","fetch_graph":"https://pith.science/api/pith-number/GPH62RDB35CHEWTDKCF6SHCL5I/graph.json","fetch_events":"https://pith.science/api/pith-number/GPH62RDB35CHEWTDKCF6SHCL5I/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GPH62RDB35CHEWTDKCF6SHCL5I/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GPH62RDB35CHEWTDKCF6SHCL5I/action/storage_attestation","attest_author":"https://pith.science/pith/GPH62RDB35CHEWTDKCF6SHCL5I/action/author_attestation","sign_citation":"https://pith.science/pith/GPH62RDB35CHEWTDKCF6SHCL5I/action/citation_signature","submit_replication":"https://pith.science/pith/GPH62RDB35CHEWTDKCF6SHCL5I/action/replication_record"}},"created_at":"2026-05-18T00:07:22.921692+00:00","updated_at":"2026-05-18T00:07:22.921692+00:00"}