{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:ASUC5U6U4JKD2WDSQGMK6IH22G","short_pith_number":"pith:ASUC5U6U","schema_version":"1.0","canonical_sha256":"04a82ed3d4e2543d58728198af20fad192e7b3043f8b85bc13d128353ec07f97","source":{"kind":"arxiv","id":"1410.0522","version":2},"attestation_state":"computed","paper":{"title":"Second-order sensitivity of parallel shear flows and optimal spanwise-periodic flow modifications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"A. Fani, E. Boujo, F. Gallaire","submitted_at":"2014-10-02T11:59:40Z","abstract_excerpt":"The question of optimal spanwise-periodic modification for the stabilisation of spanwise-invariant flows is addressed. A 2nd-order sensitivity analysis is conducted for the linear temporal stability of parallel flows U0 subject to small-amplitude spanwise-periodic modification e*U1, e<<1. Spanwise-periodic modifications have a quadratic effect on stability, i.e. the 1st-order eigenvalue variation is zero. A 2nd-order sensitivity operator is computed from a 1D calculation, allowing one to predict how eigenvalues are affected by any U1, without actually solving for modified eigenvalues/eigenmode"},"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":"1410.0522","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-10-02T11:59:40Z","cross_cats_sorted":[],"title_canon_sha256":"937d4f6094c24d3599dc42bc1e061da2e63559f4e96c4d60bda4acfcc12516a5","abstract_canon_sha256":"cbcaf5e33fb60309273c6dca76d77f365127b9c64638444015a60c3b140de743"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:29:05.033756Z","signature_b64":"6Ms8HilkpktHBVrqD24N1Iz9botx3feKX+LfzWD+5RQ7mC8TBaZVytDjsSv9qW/ENkNKoOMbJJsVMsGrzo8OAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"04a82ed3d4e2543d58728198af20fad192e7b3043f8b85bc13d128353ec07f97","last_reissued_at":"2026-05-18T01:29:05.033092Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:29:05.033092Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Second-order sensitivity of parallel shear flows and optimal spanwise-periodic flow modifications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"A. Fani, E. Boujo, F. Gallaire","submitted_at":"2014-10-02T11:59:40Z","abstract_excerpt":"The question of optimal spanwise-periodic modification for the stabilisation of spanwise-invariant flows is addressed. A 2nd-order sensitivity analysis is conducted for the linear temporal stability of parallel flows U0 subject to small-amplitude spanwise-periodic modification e*U1, e<<1. Spanwise-periodic modifications have a quadratic effect on stability, i.e. the 1st-order eigenvalue variation is zero. A 2nd-order sensitivity operator is computed from a 1D calculation, allowing one to predict how eigenvalues are affected by any U1, without actually solving for modified eigenvalues/eigenmode"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.0522","kind":"arxiv","version":2},"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":"1410.0522","created_at":"2026-05-18T01:29:05.033197+00:00"},{"alias_kind":"arxiv_version","alias_value":"1410.0522v2","created_at":"2026-05-18T01:29:05.033197+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.0522","created_at":"2026-05-18T01:29:05.033197+00:00"},{"alias_kind":"pith_short_12","alias_value":"ASUC5U6U4JKD","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_16","alias_value":"ASUC5U6U4JKD2WDS","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_8","alias_value":"ASUC5U6U","created_at":"2026-05-18T12:28:19.803747+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/ASUC5U6U4JKD2WDSQGMK6IH22G","json":"https://pith.science/pith/ASUC5U6U4JKD2WDSQGMK6IH22G.json","graph_json":"https://pith.science/api/pith-number/ASUC5U6U4JKD2WDSQGMK6IH22G/graph.json","events_json":"https://pith.science/api/pith-number/ASUC5U6U4JKD2WDSQGMK6IH22G/events.json","paper":"https://pith.science/paper/ASUC5U6U"},"agent_actions":{"view_html":"https://pith.science/pith/ASUC5U6U4JKD2WDSQGMK6IH22G","download_json":"https://pith.science/pith/ASUC5U6U4JKD2WDSQGMK6IH22G.json","view_paper":"https://pith.science/paper/ASUC5U6U","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1410.0522&json=true","fetch_graph":"https://pith.science/api/pith-number/ASUC5U6U4JKD2WDSQGMK6IH22G/graph.json","fetch_events":"https://pith.science/api/pith-number/ASUC5U6U4JKD2WDSQGMK6IH22G/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ASUC5U6U4JKD2WDSQGMK6IH22G/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ASUC5U6U4JKD2WDSQGMK6IH22G/action/storage_attestation","attest_author":"https://pith.science/pith/ASUC5U6U4JKD2WDSQGMK6IH22G/action/author_attestation","sign_citation":"https://pith.science/pith/ASUC5U6U4JKD2WDSQGMK6IH22G/action/citation_signature","submit_replication":"https://pith.science/pith/ASUC5U6U4JKD2WDSQGMK6IH22G/action/replication_record"}},"created_at":"2026-05-18T01:29:05.033197+00:00","updated_at":"2026-05-18T01:29:05.033197+00:00"}