{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:BBATTKZ6TPEQDLSVIMYCMZHK25","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":"57497e2d64754dc9ea2f9d59486c7873c631f3753f9713b5144ce96cfc5a4664","cross_cats_sorted":["cs.CE","cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-09-04T13:22:58Z","title_canon_sha256":"b815633f9281c0257007dee7e9585062063f0d5e134ec71b96e90ac553a44414"},"schema_version":"1.0","source":{"id":"2009.02176","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2009.02176","created_at":"2026-07-05T02:52:13Z"},{"alias_kind":"arxiv_version","alias_value":"2009.02176v2","created_at":"2026-07-05T02:52:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2009.02176","created_at":"2026-07-05T02:52:13Z"},{"alias_kind":"pith_short_12","alias_value":"BBATTKZ6TPEQ","created_at":"2026-07-05T02:52:13Z"},{"alias_kind":"pith_short_16","alias_value":"BBATTKZ6TPEQDLSV","created_at":"2026-07-05T02:52:13Z"},{"alias_kind":"pith_short_8","alias_value":"BBATTKZ6","created_at":"2026-07-05T02:52:13Z"}],"graph_snapshots":[{"event_id":"sha256:497619bd211b7f3e0fdebd4ca504c1561ae1b9c2b00ef070c982964c3d214c42","target":"graph","created_at":"2026-07-05T02:52:13Z","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/2009.02176/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Reduced order models (ROM) are commonly employed to solve parametric problems and to devise inexpensive response surfaces to evaluate quantities of interest in real-time. There are many families of ROMs in the literature and choosing among them is not always a trivial task. This work presents a comparison of the performance of a priori and a posteriori proper generalised decomposition (PGD) algorithms for an incompressible Stokes flow problem in a geometrically parametrised domain. This problem is particularly challenging as the geometric parameters affect both the solution manifold and the co","authors_text":"Antonio Huerta, Luca Borchini, Matteo Giacomini, Ruben Sevilla","cross_cats":["cs.CE","cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-09-04T13:22:58Z","title":"Separated response surfaces for flows in parametrised domains: comparison of a priori and a posteriori PGD algorithms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2009.02176","kind":"arxiv","version":2},"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":"sha256:2db7634a1de5078e73151983f3b3bd887179c05dc19581e0936da42425908fb7","target":"record","created_at":"2026-07-05T02:52:13Z","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":"57497e2d64754dc9ea2f9d59486c7873c631f3753f9713b5144ce96cfc5a4664","cross_cats_sorted":["cs.CE","cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-09-04T13:22:58Z","title_canon_sha256":"b815633f9281c0257007dee7e9585062063f0d5e134ec71b96e90ac553a44414"},"schema_version":"1.0","source":{"id":"2009.02176","kind":"arxiv","version":2}},"canonical_sha256":"084139ab3e9bc901ae5543302664ead76d0a9ab9cd8f63496b1c4bfd9c3c9184","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"084139ab3e9bc901ae5543302664ead76d0a9ab9cd8f63496b1c4bfd9c3c9184","first_computed_at":"2026-07-05T02:52:13.740702Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:52:13.740702Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TFAFPt+zcp4R5hduNDyJfcEolRXL2B93KN6e2JJ31FiDDdmePexSW8raS223+U4LLma0NH84p3y7D/9G874bAA==","signature_status":"signed_v1","signed_at":"2026-07-05T02:52:13.741271Z","signed_message":"canonical_sha256_bytes"},"source_id":"2009.02176","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2db7634a1de5078e73151983f3b3bd887179c05dc19581e0936da42425908fb7","sha256:497619bd211b7f3e0fdebd4ca504c1561ae1b9c2b00ef070c982964c3d214c42"],"state_sha256":"de826546e8d700a592d265c9d089f9adb28f4fcc319c082d4feae28042122cd6"}