{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:SFT6EGGQQNUPNEIQ2AJGQX4QOS","short_pith_number":"pith:SFT6EGGQ","schema_version":"1.0","canonical_sha256":"9167e218d08368f69110d012685f907487de01d17ab16fdec3b6e5676d797104","source":{"kind":"arxiv","id":"1011.5675","version":1},"attestation_state":"computed","paper":{"title":"Amplification and Nonlinear Mechanisms in Plane Couette Flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Antonis Papachristodoulou, Bassam Bamieh, Beverley J. McKeon, Dennice F. Gayme, John C. Doyle","submitted_at":"2010-11-25T19:27:42Z","abstract_excerpt":"We study the input-output response of a streamwise constant projection of the Navier-Stokes equations for plane Couette flow, the so-called 2D/3C model. Study of a streamwise constant model is motivated by numerical and experimental observations that suggest the prevalence and importance of streamwise and quasi-streamwise elongated structures. Periodic spanwise/wall-normal (z-y) plane stream functions are used as input to develop a forced 2D/3C streamwise velocity field that is qualitatively similar to a fully turbulent spatial field of DNS data. The input-output response associated with the 2"},"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":"1011.5675","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2010-11-25T19:27:42Z","cross_cats_sorted":[],"title_canon_sha256":"9a6b5ed7a99f66f9b06dad9d55d98764aa315a0524cc64a21acb1359ddecd959","abstract_canon_sha256":"a494d702210b70ca76159c565ac8900877006b89b3c2748ce2fa6f6ccb61a49d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:04:38.876366Z","signature_b64":"OtLb/x/Cjj3B2e78Cvu+udC4S9ia03T5YaFpqJt9YHKB9rnqNH6M0CO9ZReTc0coE/lb1YLWMgb2KHOhw+7pCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9167e218d08368f69110d012685f907487de01d17ab16fdec3b6e5676d797104","last_reissued_at":"2026-05-18T02:04:38.875613Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:04:38.875613Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Amplification and Nonlinear Mechanisms in Plane Couette Flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Antonis Papachristodoulou, Bassam Bamieh, Beverley J. McKeon, Dennice F. Gayme, John C. Doyle","submitted_at":"2010-11-25T19:27:42Z","abstract_excerpt":"We study the input-output response of a streamwise constant projection of the Navier-Stokes equations for plane Couette flow, the so-called 2D/3C model. Study of a streamwise constant model is motivated by numerical and experimental observations that suggest the prevalence and importance of streamwise and quasi-streamwise elongated structures. Periodic spanwise/wall-normal (z-y) plane stream functions are used as input to develop a forced 2D/3C streamwise velocity field that is qualitatively similar to a fully turbulent spatial field of DNS data. The input-output response associated with the 2"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.5675","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":"1011.5675","created_at":"2026-05-18T02:04:38.875733+00:00"},{"alias_kind":"arxiv_version","alias_value":"1011.5675v1","created_at":"2026-05-18T02:04:38.875733+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.5675","created_at":"2026-05-18T02:04:38.875733+00:00"},{"alias_kind":"pith_short_12","alias_value":"SFT6EGGQQNUP","created_at":"2026-05-18T12:26:13.927090+00:00"},{"alias_kind":"pith_short_16","alias_value":"SFT6EGGQQNUPNEIQ","created_at":"2026-05-18T12:26:13.927090+00:00"},{"alias_kind":"pith_short_8","alias_value":"SFT6EGGQ","created_at":"2026-05-18T12:26:13.927090+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/SFT6EGGQQNUPNEIQ2AJGQX4QOS","json":"https://pith.science/pith/SFT6EGGQQNUPNEIQ2AJGQX4QOS.json","graph_json":"https://pith.science/api/pith-number/SFT6EGGQQNUPNEIQ2AJGQX4QOS/graph.json","events_json":"https://pith.science/api/pith-number/SFT6EGGQQNUPNEIQ2AJGQX4QOS/events.json","paper":"https://pith.science/paper/SFT6EGGQ"},"agent_actions":{"view_html":"https://pith.science/pith/SFT6EGGQQNUPNEIQ2AJGQX4QOS","download_json":"https://pith.science/pith/SFT6EGGQQNUPNEIQ2AJGQX4QOS.json","view_paper":"https://pith.science/paper/SFT6EGGQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1011.5675&json=true","fetch_graph":"https://pith.science/api/pith-number/SFT6EGGQQNUPNEIQ2AJGQX4QOS/graph.json","fetch_events":"https://pith.science/api/pith-number/SFT6EGGQQNUPNEIQ2AJGQX4QOS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SFT6EGGQQNUPNEIQ2AJGQX4QOS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SFT6EGGQQNUPNEIQ2AJGQX4QOS/action/storage_attestation","attest_author":"https://pith.science/pith/SFT6EGGQQNUPNEIQ2AJGQX4QOS/action/author_attestation","sign_citation":"https://pith.science/pith/SFT6EGGQQNUPNEIQ2AJGQX4QOS/action/citation_signature","submit_replication":"https://pith.science/pith/SFT6EGGQQNUPNEIQ2AJGQX4QOS/action/replication_record"}},"created_at":"2026-05-18T02:04:38.875733+00:00","updated_at":"2026-05-18T02:04:38.875733+00:00"}