{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:XT3TXDS7CFEZYPNIDMZBXMVBVH","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":"fdf4fe24d6d727a1bdcaac79f87d5b5ef890285642f82a930a4addbf6fdc795e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-06-24T20:47:29Z","title_canon_sha256":"bab0ce9525748b186b88768c4b9fbc591263704111f3fea06c5a4b10de50adb9"},"schema_version":"1.0","source":{"id":"1506.07555","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.07555","created_at":"2026-05-18T01:09:07Z"},{"alias_kind":"arxiv_version","alias_value":"1506.07555v2","created_at":"2026-05-18T01:09:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.07555","created_at":"2026-05-18T01:09:07Z"},{"alias_kind":"pith_short_12","alias_value":"XT3TXDS7CFEZ","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"XT3TXDS7CFEZYPNI","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"XT3TXDS7","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:a30171cb50b572757ec0d925b836ad91dc54400830dfff9bb7978ae26c163c08","target":"graph","created_at":"2026-05-18T01:09:07Z","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":"In this paper, we propose a new evolve-then-filter reduced order model (EF-ROM). This is a regularized ROM (Reg-ROM), which aims at the numerical stabilization of proper orthogonal decomposition (POD) ROMs for convection-dominated flows. We also consider the Leray ROM (L-ROM). These two Reg-ROMs use explicit ROM spatial filtering to smooth (regularize) various terms in the ROMs. Two spatial filters are used: a POD projection onto a POD subspace (Proj) and a new POD differential filter (DF). The four Reg-ROM/filter combinations are tested in the numerical simulation of the three-dimensional flo","authors_text":"David Wells, Traian Iliescu, Xuping Xie, Zhu Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-06-24T20:47:29Z","title":"An Evolve-Then-Filter Regularized Reduced Order Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.07555","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":"sha256:2461509833b2cbedd53da916c96bbe2dded1f4107cbf7b9e23b16f9a29988279","target":"record","created_at":"2026-05-18T01:09:07Z","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":"fdf4fe24d6d727a1bdcaac79f87d5b5ef890285642f82a930a4addbf6fdc795e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-06-24T20:47:29Z","title_canon_sha256":"bab0ce9525748b186b88768c4b9fbc591263704111f3fea06c5a4b10de50adb9"},"schema_version":"1.0","source":{"id":"1506.07555","kind":"arxiv","version":2}},"canonical_sha256":"bcf73b8e5f11499c3da81b321bb2a1a9feb22863514f14ab6c77eebc61c2a913","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bcf73b8e5f11499c3da81b321bb2a1a9feb22863514f14ab6c77eebc61c2a913","first_computed_at":"2026-05-18T01:09:07.027838Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:07.027838Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Eyu7PRYMtxbzvO0GTiCSSCXZG65VI0pwt71cRMdBc82NFwEZvF7CUL8E77O9bL0OxQ2p3wMPIP5s2JKOPXS2DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:07.028391Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.07555","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2461509833b2cbedd53da916c96bbe2dded1f4107cbf7b9e23b16f9a29988279","sha256:a30171cb50b572757ec0d925b836ad91dc54400830dfff9bb7978ae26c163c08"],"state_sha256":"114153efe483a5869f7c6c18ade6cbff96670658bdf0c1c8977ca459280605cc"}