{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ASUC5U6U4JKD2WDSQGMK6IH22G","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"cbcaf5e33fb60309273c6dca76d77f365127b9c64638444015a60c3b140de743","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-10-02T11:59:40Z","title_canon_sha256":"937d4f6094c24d3599dc42bc1e061da2e63559f4e96c4d60bda4acfcc12516a5"},"schema_version":"1.0","source":{"id":"1410.0522","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.0522","created_at":"2026-05-18T01:29:05Z"},{"alias_kind":"arxiv_version","alias_value":"1410.0522v2","created_at":"2026-05-18T01:29:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.0522","created_at":"2026-05-18T01:29:05Z"},{"alias_kind":"pith_short_12","alias_value":"ASUC5U6U4JKD","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"ASUC5U6U4JKD2WDS","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"ASUC5U6U","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:38f0269b2c4da8fc86cbf5e38680486e8b8120deff5c9f53dffb5ec8c28572a9","target":"graph","created_at":"2026-05-18T01:29:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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","authors_text":"A. Fani, E. Boujo, F. Gallaire","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-10-02T11:59:40Z","title":"Second-order sensitivity of parallel shear flows and optimal spanwise-periodic flow modifications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.0522","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:8b3ea7429475dc799841c3551c91368364bed958d1ad0fbbafb3c9db1bc9ab1f","target":"record","created_at":"2026-05-18T01:29:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"cbcaf5e33fb60309273c6dca76d77f365127b9c64638444015a60c3b140de743","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-10-02T11:59:40Z","title_canon_sha256":"937d4f6094c24d3599dc42bc1e061da2e63559f4e96c4d60bda4acfcc12516a5"},"schema_version":"1.0","source":{"id":"1410.0522","kind":"arxiv","version":2}},"canonical_sha256":"04a82ed3d4e2543d58728198af20fad192e7b3043f8b85bc13d128353ec07f97","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"04a82ed3d4e2543d58728198af20fad192e7b3043f8b85bc13d128353ec07f97","first_computed_at":"2026-05-18T01:29:05.033092Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:29:05.033092Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6Ms8HilkpktHBVrqD24N1Iz9botx3feKX+LfzWD+5RQ7mC8TBaZVytDjsSv9qW/ENkNKoOMbJJsVMsGrzo8OAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:29:05.033756Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.0522","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8b3ea7429475dc799841c3551c91368364bed958d1ad0fbbafb3c9db1bc9ab1f","sha256:38f0269b2c4da8fc86cbf5e38680486e8b8120deff5c9f53dffb5ec8c28572a9"],"state_sha256":"ba375335e96319d038e715dcb04a99d568d34d6bb59709ed46fa9e8fd70583ab"}