{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:J6FJQEA6WBFXKUYQR6VABPFMRR","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":"5ee1f99df968da202fa0db063a46537ec8d1ed50f8dbc97f87641da833e2d41b","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-05-19T08:56:30Z","title_canon_sha256":"fe6e8989cf038d296b5b2503e937162028c7a899b3307a5c67d897d8932f38e1"},"schema_version":"1.0","source":{"id":"1005.3384","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.3384","created_at":"2026-06-03T23:06:37Z"},{"alias_kind":"arxiv_version","alias_value":"1005.3384v1","created_at":"2026-06-03T23:06:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.3384","created_at":"2026-06-03T23:06:37Z"},{"alias_kind":"pith_short_12","alias_value":"J6FJQEA6WBFX","created_at":"2026-06-03T23:06:37Z"},{"alias_kind":"pith_short_16","alias_value":"J6FJQEA6WBFXKUYQ","created_at":"2026-06-03T23:06:37Z"},{"alias_kind":"pith_short_8","alias_value":"J6FJQEA6","created_at":"2026-06-03T23:06:37Z"}],"graph_snapshots":[{"event_id":"sha256:59669ae25a335b57196b392c385ea13a01eca39d148d04331323f9324105d294","target":"graph","created_at":"2026-06-03T23:06:37Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1005.3384/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a two-fold approach to model reduction of fluid-structure interaction. The state equations for the fluid are solved with reduced basis methods. These are model reduction methods for parametric partial differential equations using well-chosen snapshot solutions in order to build a set of global basis functions. The other reduction is in terms of the geometric complexity of the moving fluid-structure interface. We use free-form deformations to parameterize the perturbation of the flow channel at rest configuration. As a computational example we consider a steady fluid-structure intera","authors_text":"Gianluigi Rozza, Toni Lassila","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-05-19T08:56:30Z","title":"Reduced formulation of a steady fluid-structure interaction problem with parametric coupling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.3384","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:d63eb1cedf3cc472636051363eb4de5cd1d8f5623a554cd655e9749ff12f8054","target":"record","created_at":"2026-06-03T23:06:37Z","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":"5ee1f99df968da202fa0db063a46537ec8d1ed50f8dbc97f87641da833e2d41b","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-05-19T08:56:30Z","title_canon_sha256":"fe6e8989cf038d296b5b2503e937162028c7a899b3307a5c67d897d8932f38e1"},"schema_version":"1.0","source":{"id":"1005.3384","kind":"arxiv","version":1}},"canonical_sha256":"4f8a98101eb04b7553108faa00bcac8c6caf67f4383b9bcc13cac2982a32f1de","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4f8a98101eb04b7553108faa00bcac8c6caf67f4383b9bcc13cac2982a32f1de","first_computed_at":"2026-06-03T23:06:37.431218Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-03T23:06:37.431218Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xvsO8okiyMqAsa93vDPOmpwVxUNL+X8LGuZFyMcrTqpF690s+VJIZZ9Ho9XDd7bBM1QZahgQi3iX86jr71xzAw==","signature_status":"signed_v1","signed_at":"2026-06-03T23:06:37.431660Z","signed_message":"canonical_sha256_bytes"},"source_id":"1005.3384","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d63eb1cedf3cc472636051363eb4de5cd1d8f5623a554cd655e9749ff12f8054","sha256:59669ae25a335b57196b392c385ea13a01eca39d148d04331323f9324105d294"],"state_sha256":"69d8f6631d1aefd5003b3884994eb54ceffb6367487a58c466e1d5f97dbc71f6"}