{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:CFRHKM4SNEZNISH4NZ3XU5W4OB","short_pith_number":"pith:CFRHKM4S","schema_version":"1.0","canonical_sha256":"11627533926932d448fc6e777a76dc704d1689f20400ee9c06cad728d4fcc7e8","source":{"kind":"arxiv","id":"1008.1132","version":2},"attestation_state":"computed","paper":{"title":"Pre-unstable set of multiple transient three-dimensional perturbation waves and the associated turbulent state in a shear flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Daniela Tordella, Stefania Scarsoglio","submitted_at":"2010-08-06T08:17:05Z","abstract_excerpt":"In order to understand whether, and to what extent, spectral representation can effectively highlight the nonlinear interaction among different scales, it is necessary to consider the state that precedes the onset of instabilities and turbulence in flows. In this condition, a system is still stable, but is however subject to a swarming of arbitrary 3D small perturbations. These can arrive any instant, and then undergo a transient evolution which is ruled out by the initial-value problem associated to the Navier-Stokes linearized formulation. The set of 3D small perturbations constitutes a syst"},"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":"1008.1132","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2010-08-06T08:17:05Z","cross_cats_sorted":[],"title_canon_sha256":"7133c0324f3eb46e160ec1ce3e69a9f1b6908e2b83ae5a022a502d2fb638ea13","abstract_canon_sha256":"387513e673bc18744e3b13da4c2c072501de4b5b0a9c2b4122d991cf4c78d7ed"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:39:50.111128Z","signature_b64":"MNP4Gw7detUnwKBoCPNio3DuIjUhSEhQCf9wfReetvnEoNqWrUOeeTpB9WHXyAmLzkGW0HQ6RUxFYnnkkjQNCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"11627533926932d448fc6e777a76dc704d1689f20400ee9c06cad728d4fcc7e8","last_reissued_at":"2026-05-18T04:39:50.110385Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:39:50.110385Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Pre-unstable set of multiple transient three-dimensional perturbation waves and the associated turbulent state in a shear flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Daniela Tordella, Stefania Scarsoglio","submitted_at":"2010-08-06T08:17:05Z","abstract_excerpt":"In order to understand whether, and to what extent, spectral representation can effectively highlight the nonlinear interaction among different scales, it is necessary to consider the state that precedes the onset of instabilities and turbulence in flows. In this condition, a system is still stable, but is however subject to a swarming of arbitrary 3D small perturbations. These can arrive any instant, and then undergo a transient evolution which is ruled out by the initial-value problem associated to the Navier-Stokes linearized formulation. The set of 3D small perturbations constitutes a syst"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.1132","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":"1008.1132","created_at":"2026-05-18T04:39:50.110506+00:00"},{"alias_kind":"arxiv_version","alias_value":"1008.1132v2","created_at":"2026-05-18T04:39:50.110506+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.1132","created_at":"2026-05-18T04:39:50.110506+00:00"},{"alias_kind":"pith_short_12","alias_value":"CFRHKM4SNEZN","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_16","alias_value":"CFRHKM4SNEZNISH4","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_8","alias_value":"CFRHKM4S","created_at":"2026-05-18T12:26:05.355336+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/CFRHKM4SNEZNISH4NZ3XU5W4OB","json":"https://pith.science/pith/CFRHKM4SNEZNISH4NZ3XU5W4OB.json","graph_json":"https://pith.science/api/pith-number/CFRHKM4SNEZNISH4NZ3XU5W4OB/graph.json","events_json":"https://pith.science/api/pith-number/CFRHKM4SNEZNISH4NZ3XU5W4OB/events.json","paper":"https://pith.science/paper/CFRHKM4S"},"agent_actions":{"view_html":"https://pith.science/pith/CFRHKM4SNEZNISH4NZ3XU5W4OB","download_json":"https://pith.science/pith/CFRHKM4SNEZNISH4NZ3XU5W4OB.json","view_paper":"https://pith.science/paper/CFRHKM4S","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1008.1132&json=true","fetch_graph":"https://pith.science/api/pith-number/CFRHKM4SNEZNISH4NZ3XU5W4OB/graph.json","fetch_events":"https://pith.science/api/pith-number/CFRHKM4SNEZNISH4NZ3XU5W4OB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CFRHKM4SNEZNISH4NZ3XU5W4OB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CFRHKM4SNEZNISH4NZ3XU5W4OB/action/storage_attestation","attest_author":"https://pith.science/pith/CFRHKM4SNEZNISH4NZ3XU5W4OB/action/author_attestation","sign_citation":"https://pith.science/pith/CFRHKM4SNEZNISH4NZ3XU5W4OB/action/citation_signature","submit_replication":"https://pith.science/pith/CFRHKM4SNEZNISH4NZ3XU5W4OB/action/replication_record"}},"created_at":"2026-05-18T04:39:50.110506+00:00","updated_at":"2026-05-18T04:39:50.110506+00:00"}