{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:R6TLDTFAYSEU6KALYTCHRBPRM4","short_pith_number":"pith:R6TLDTFA","schema_version":"1.0","canonical_sha256":"8fa6b1cca0c4894f280bc4c47885f1670891407a182e9a1d86a32b9db068ade0","source":{"kind":"arxiv","id":"1007.1097","version":4},"attestation_state":"computed","paper":{"title":"Hagen-Poiseuille Flow Linear Stability Paradox Resolving and Viscous Dissipative Mechanism of the Turbulence Emergence in the Boundary Layer","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.class-ph"],"primary_cat":"physics.flu-dyn","authors_text":"Alexander G. Chefranov, Sergey G. Chefranov","submitted_at":"2010-07-07T10:23:12Z","abstract_excerpt":"In the linear theory of hydrodynamic stability up to now there exist examples of flows for which there is full quantitative distinction, as for cylindrical Hagen-Poiseuille (HP) flow in a pipe with round section, between theory conclusions and experimental data on the threshold Reynolds number Reth. In the present work, we show that to get a conclusion of linear instability of the HP flow for finite Reynolds numbers Re, it is necessary to abandon the use of traditional 'normal' form of disturbances which assumes an opportunity of separation of variables describing disturbances variability depe"},"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":"1007.1097","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2010-07-07T10:23:12Z","cross_cats_sorted":["physics.class-ph"],"title_canon_sha256":"1a0c74255d0ec4e48c5cd5849b1441e296a2a9eee4141bda22d597175c91cd14","abstract_canon_sha256":"93416d936913c8642adc2dd6e9d7a0bd95baf463f7e17290dd3e2ec4b2b8f907"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:08:08.531262Z","signature_b64":"Me5hQYOcC7GVrCZ/31yfzeXbEgl/nFe7PHJD45MKkEWTGUXd0Ea1Xk2J7TFynBPh+F1Pg+/pBnh5kzwwKuLTAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8fa6b1cca0c4894f280bc4c47885f1670891407a182e9a1d86a32b9db068ade0","last_reissued_at":"2026-07-05T10:08:08.530828Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:08:08.530828Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hagen-Poiseuille Flow Linear Stability Paradox Resolving and Viscous Dissipative Mechanism of the Turbulence Emergence in the Boundary Layer","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.class-ph"],"primary_cat":"physics.flu-dyn","authors_text":"Alexander G. Chefranov, Sergey G. Chefranov","submitted_at":"2010-07-07T10:23:12Z","abstract_excerpt":"In the linear theory of hydrodynamic stability up to now there exist examples of flows for which there is full quantitative distinction, as for cylindrical Hagen-Poiseuille (HP) flow in a pipe with round section, between theory conclusions and experimental data on the threshold Reynolds number Reth. In the present work, we show that to get a conclusion of linear instability of the HP flow for finite Reynolds numbers Re, it is necessary to abandon the use of traditional 'normal' form of disturbances which assumes an opportunity of separation of variables describing disturbances variability depe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.1097","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1007.1097/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1007.1097","created_at":"2026-07-05T10:08:08.530889+00:00"},{"alias_kind":"arxiv_version","alias_value":"1007.1097v4","created_at":"2026-07-05T10:08:08.530889+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.1097","created_at":"2026-07-05T10:08:08.530889+00:00"},{"alias_kind":"pith_short_12","alias_value":"R6TLDTFAYSEU","created_at":"2026-07-05T10:08:08.530889+00:00"},{"alias_kind":"pith_short_16","alias_value":"R6TLDTFAYSEU6KAL","created_at":"2026-07-05T10:08:08.530889+00:00"},{"alias_kind":"pith_short_8","alias_value":"R6TLDTFA","created_at":"2026-07-05T10:08:08.530889+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2506.04242","citing_title":"Linear instability of plane Couette and Poiseuille flows","ref_index":4,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/R6TLDTFAYSEU6KALYTCHRBPRM4","json":"https://pith.science/pith/R6TLDTFAYSEU6KALYTCHRBPRM4.json","graph_json":"https://pith.science/api/pith-number/R6TLDTFAYSEU6KALYTCHRBPRM4/graph.json","events_json":"https://pith.science/api/pith-number/R6TLDTFAYSEU6KALYTCHRBPRM4/events.json","paper":"https://pith.science/paper/R6TLDTFA"},"agent_actions":{"view_html":"https://pith.science/pith/R6TLDTFAYSEU6KALYTCHRBPRM4","download_json":"https://pith.science/pith/R6TLDTFAYSEU6KALYTCHRBPRM4.json","view_paper":"https://pith.science/paper/R6TLDTFA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1007.1097&json=true","fetch_graph":"https://pith.science/api/pith-number/R6TLDTFAYSEU6KALYTCHRBPRM4/graph.json","fetch_events":"https://pith.science/api/pith-number/R6TLDTFAYSEU6KALYTCHRBPRM4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/R6TLDTFAYSEU6KALYTCHRBPRM4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/R6TLDTFAYSEU6KALYTCHRBPRM4/action/storage_attestation","attest_author":"https://pith.science/pith/R6TLDTFAYSEU6KALYTCHRBPRM4/action/author_attestation","sign_citation":"https://pith.science/pith/R6TLDTFAYSEU6KALYTCHRBPRM4/action/citation_signature","submit_replication":"https://pith.science/pith/R6TLDTFAYSEU6KALYTCHRBPRM4/action/replication_record"}},"created_at":"2026-07-05T10:08:08.530889+00:00","updated_at":"2026-07-05T10:08:08.530889+00:00"}