{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:5ROJKYTTBJOLJ73TIMPYDWUVE3","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":"7f591351269b70d5e878caf5205c8e67e1b9f05d7a784f2b61bcf8b2df34ae43","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-07-24T02:10:51Z","title_canon_sha256":"e45c54048709dcdec0963ed308ec8568d0b90d15ea341e56392d79b6c4e1016f"},"schema_version":"1.0","source":{"id":"1707.07378","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.07378","created_at":"2026-05-18T00:39:42Z"},{"alias_kind":"arxiv_version","alias_value":"1707.07378v1","created_at":"2026-05-18T00:39:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.07378","created_at":"2026-05-18T00:39:42Z"},{"alias_kind":"pith_short_12","alias_value":"5ROJKYTTBJOL","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"5ROJKYTTBJOLJ73T","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"5ROJKYTT","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:15006e050650ad026d5459e289955a999752235fbdd0e4be71e2a1c0c98cf9e9","target":"graph","created_at":"2026-05-18T00:39:42Z","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":"We consider a cantilevered (clamped-free) beam in an axial potential flow. Certain flow velocities may bring about a bounded-response instability in the structure, termed {\\em flutter}. As a preliminary analysis, we employ the theory of {\\em large deflections} and utilize a piston-theoretic approximation of the flow for appropriate parameters, yielding a nonlinear (Berger/Woinowsky-Krieger) beam equation with a non-dissipative RHS. As we obtain this structural model via a simplification, we arrive at a nonstandard nonlinear boundary condition that necessitates careful well-posedness analysis. ","authors_text":"Daniel Toundykov, Jason Howell, Justin T. Webster","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-07-24T02:10:51Z","title":"A Cantilevered Extensible Beam in Axial Flow: Semigroup Well-posedness and Post-flutter Regimes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.07378","kind":"arxiv","version":1},"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:c6865e0fb985920698543cd27e9f2db00eb0eb5ad670d458b33c761070038a55","target":"record","created_at":"2026-05-18T00:39:42Z","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":"7f591351269b70d5e878caf5205c8e67e1b9f05d7a784f2b61bcf8b2df34ae43","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-07-24T02:10:51Z","title_canon_sha256":"e45c54048709dcdec0963ed308ec8568d0b90d15ea341e56392d79b6c4e1016f"},"schema_version":"1.0","source":{"id":"1707.07378","kind":"arxiv","version":1}},"canonical_sha256":"ec5c9562730a5cb4ff73431f81da9526cb79f9a0597222c70cd8c4f8708ab70b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ec5c9562730a5cb4ff73431f81da9526cb79f9a0597222c70cd8c4f8708ab70b","first_computed_at":"2026-05-18T00:39:42.454889Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:39:42.454889Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nPvTk+DnZiGV6ekYOd/qVmhUCCerZrhtcprbqqIZbeweHm3EUtAO46VeTPkK1vj/iT2RBlPx5usWZ4+OuT2CBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:39:42.455584Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.07378","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c6865e0fb985920698543cd27e9f2db00eb0eb5ad670d458b33c761070038a55","sha256:15006e050650ad026d5459e289955a999752235fbdd0e4be71e2a1c0c98cf9e9"],"state_sha256":"c7db279d2b6b3e0af2e45d8bcaabd333ab4b1bfe6db2aae9836d8c5af525ba61"}