{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:VN6XOSSMDIQANSB6ZQG4A2TSQB","short_pith_number":"pith:VN6XOSSM","schema_version":"1.0","canonical_sha256":"ab7d774a4c1a2006c83ecc0dc06a72806191489c456f78650115f69c17e54b3b","source":{"kind":"arxiv","id":"1812.05938","version":2},"attestation_state":"computed","paper":{"title":"Linear and weakly nonlinear global instability of a fluid flow through a collapsible channel","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Giuseppe Di Labbio, Mustapha Amaouche","submitted_at":"2018-12-14T14:00:42Z","abstract_excerpt":"Interactions between an internal flow and wall deformation occur in many biological systems. Such interactions can involve a complex and rich dynamical behavior and a number of peculiarities which depend on the flow parameter range. The aim of this paper is to present a variant (obtained via a weighted residual approach) of the averaged one-dimensional model derived by Stewart et al. \"Local and global instabilities of flow in a flexible-walled channel,\" Eur. J. Mech. B/Fluids 28, 541-557 (2009)]. The asymptotic expansions for small Reynolds numbers of these two models, compared to the exact so"},"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":"1812.05938","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-12-14T14:00:42Z","cross_cats_sorted":[],"title_canon_sha256":"d49496cb2393ea8131ae7c8c1521049dedb6ad346bbe621a93e531e422f1fead","abstract_canon_sha256":"eb6d395414c3e580216d30b07348810837b4c5861b9641650c49a35b273fe373"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:46.781797Z","signature_b64":"B4TaNjhH/lQXk58GLhP3LtuRnPW6R5MbCD34ubxLN/wbFPLIKSPFajA4n8iDeI9yTaz2tCXLktQ/BHwJpyYADw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ab7d774a4c1a2006c83ecc0dc06a72806191489c456f78650115f69c17e54b3b","last_reissued_at":"2026-05-17T23:51:46.781305Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:46.781305Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Linear and weakly nonlinear global instability of a fluid flow through a collapsible channel","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Giuseppe Di Labbio, Mustapha Amaouche","submitted_at":"2018-12-14T14:00:42Z","abstract_excerpt":"Interactions between an internal flow and wall deformation occur in many biological systems. Such interactions can involve a complex and rich dynamical behavior and a number of peculiarities which depend on the flow parameter range. The aim of this paper is to present a variant (obtained via a weighted residual approach) of the averaged one-dimensional model derived by Stewart et al. \"Local and global instabilities of flow in a flexible-walled channel,\" Eur. J. Mech. B/Fluids 28, 541-557 (2009)]. The asymptotic expansions for small Reynolds numbers of these two models, compared to the exact so"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.05938","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":"1812.05938","created_at":"2026-05-17T23:51:46.781390+00:00"},{"alias_kind":"arxiv_version","alias_value":"1812.05938v2","created_at":"2026-05-17T23:51:46.781390+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.05938","created_at":"2026-05-17T23:51:46.781390+00:00"},{"alias_kind":"pith_short_12","alias_value":"VN6XOSSMDIQA","created_at":"2026-05-18T12:32:59.047623+00:00"},{"alias_kind":"pith_short_16","alias_value":"VN6XOSSMDIQANSB6","created_at":"2026-05-18T12:32:59.047623+00:00"},{"alias_kind":"pith_short_8","alias_value":"VN6XOSSM","created_at":"2026-05-18T12:32:59.047623+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/VN6XOSSMDIQANSB6ZQG4A2TSQB","json":"https://pith.science/pith/VN6XOSSMDIQANSB6ZQG4A2TSQB.json","graph_json":"https://pith.science/api/pith-number/VN6XOSSMDIQANSB6ZQG4A2TSQB/graph.json","events_json":"https://pith.science/api/pith-number/VN6XOSSMDIQANSB6ZQG4A2TSQB/events.json","paper":"https://pith.science/paper/VN6XOSSM"},"agent_actions":{"view_html":"https://pith.science/pith/VN6XOSSMDIQANSB6ZQG4A2TSQB","download_json":"https://pith.science/pith/VN6XOSSMDIQANSB6ZQG4A2TSQB.json","view_paper":"https://pith.science/paper/VN6XOSSM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1812.05938&json=true","fetch_graph":"https://pith.science/api/pith-number/VN6XOSSMDIQANSB6ZQG4A2TSQB/graph.json","fetch_events":"https://pith.science/api/pith-number/VN6XOSSMDIQANSB6ZQG4A2TSQB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VN6XOSSMDIQANSB6ZQG4A2TSQB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VN6XOSSMDIQANSB6ZQG4A2TSQB/action/storage_attestation","attest_author":"https://pith.science/pith/VN6XOSSMDIQANSB6ZQG4A2TSQB/action/author_attestation","sign_citation":"https://pith.science/pith/VN6XOSSMDIQANSB6ZQG4A2TSQB/action/citation_signature","submit_replication":"https://pith.science/pith/VN6XOSSMDIQANSB6ZQG4A2TSQB/action/replication_record"}},"created_at":"2026-05-17T23:51:46.781390+00:00","updated_at":"2026-05-17T23:51:46.781390+00:00"}