{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:2BN24CP3QHXQRV234DJ4PDVC5K","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":"f1e6b51459a58b3b83e9d563cd720095df83e33ff70804a1944c6a55b0d8fbaf","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-02-20T21:38:15Z","title_canon_sha256":"caccd1d106e64e0de4e5e2039609a076c92cf6fa1572fac06985f434fef34832"},"schema_version":"1.0","source":{"id":"1702.06886","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.06886","created_at":"2026-05-18T00:50:10Z"},{"alias_kind":"arxiv_version","alias_value":"1702.06886v1","created_at":"2026-05-18T00:50:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.06886","created_at":"2026-05-18T00:50:10Z"},{"alias_kind":"pith_short_12","alias_value":"2BN24CP3QHXQ","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2BN24CP3QHXQRV23","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2BN24CP3","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:6776c1074ac7c880be9e09f0e95c1bd53bd5cbbd84a87a4d57cdd70df3b3bed1","target":"graph","created_at":"2026-05-18T00:50:10Z","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 propose a calibrated filtered reduced order model (CF-ROM) framework for the numerical simulation of general nonlinear PDEs that are amenable to reduced order modeling. The novel CF-ROM framework consists of two steps: (i) In the first step, we use explicit ROM spatial filtering of the nonlinear PDE to construct a filtered ROM. This filtered ROM is low-dimensional, but is not closed (because of the nonlinearity in the given PDE). (ii) In the second step, we use a calibration procedure to close the filtered ROM, i.e., to model the interaction between the resolved and unresolved modes. To thi","authors_text":"L. G. Rebholz, M. Mohebujjaman, T. Iliescu, x. Xie","cross_cats":["physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-02-20T21:38:15Z","title":"Calibrated Filtered Reduced Order Modeling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.06886","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":"sha256:7bc65e8007e85cea9c5dfa10b696ba1474b5b08d5dbbfa280ab4c06945950e75","target":"record","created_at":"2026-05-18T00:50:10Z","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":"f1e6b51459a58b3b83e9d563cd720095df83e33ff70804a1944c6a55b0d8fbaf","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-02-20T21:38:15Z","title_canon_sha256":"caccd1d106e64e0de4e5e2039609a076c92cf6fa1572fac06985f434fef34832"},"schema_version":"1.0","source":{"id":"1702.06886","kind":"arxiv","version":1}},"canonical_sha256":"d05bae09fb81ef08d75be0d3c78ea2ea97766194908b14b7acb82404679f90df","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d05bae09fb81ef08d75be0d3c78ea2ea97766194908b14b7acb82404679f90df","first_computed_at":"2026-05-18T00:50:10.204400Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:10.204400Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qhS/CPVxuryhE5tCHVfaeJQYYfff1q6mVHplHtzUWWmLRI1v2gLEAk2H0xK24kg/coH7hx+i9aOaGl66cqHJCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:10.204974Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.06886","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7bc65e8007e85cea9c5dfa10b696ba1474b5b08d5dbbfa280ab4c06945950e75","sha256:6776c1074ac7c880be9e09f0e95c1bd53bd5cbbd84a87a4d57cdd70df3b3bed1"],"state_sha256":"348c402419d955922f6a6ea81c701d8c5306a98ad27ffbb267a4ceb91ead15fa"}