{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:ATIT7HFPQ7ZPFL6F76BUGJQXJA","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":"9f5ae0182e1b85a1f0312e525d216f08dc48360cfee25a867cbf92097f8000e0","cross_cats_sorted":["cs.NA","nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-07-24T22:57:37Z","title_canon_sha256":"6e217750524a1a22e1165e59f7f2c71ce068afd3dd6352935a80a0123a659c2a"},"schema_version":"1.0","source":{"id":"1607.07702","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.07702","created_at":"2026-05-18T01:10:27Z"},{"alias_kind":"arxiv_version","alias_value":"1607.07702v1","created_at":"2026-05-18T01:10:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.07702","created_at":"2026-05-18T01:10:27Z"},{"alias_kind":"pith_short_12","alias_value":"ATIT7HFPQ7ZP","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"ATIT7HFPQ7ZPFL6F","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"ATIT7HFP","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:78eae24aeb55fe72d563a993986e06e8527ae7b66f0fbca407ae45e968db3380","target":"graph","created_at":"2026-05-18T01:10:27Z","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":"A genetic algorithm procedure is demonstrated that refines the selection of interpolation points of the discrete empirical interpolation method (DEIM) when used for constructing reduced order models for time dependent and/or parametrized nonlinear partial differential equations (PDEs) with proper orthogonal decomposition. The method achieves nearly optimal interpolation points with only a few generations of the search, making it potentially useful for {\\em online} refinement of the sparse sampling used to construct a projection of the nonlinear terms. With the genetic algorithm, points are opt","authors_text":"J. Nathan Kutz, Steven L. Brunton, Syuzanna Sargsyan","cross_cats":["cs.NA","nlin.PS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-07-24T22:57:37Z","title":"Online interpolation point refinement for reduced order models using a genetic algorithm"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.07702","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":"sha256:438c77fe3c6e956e30e8b6feca97a01834e312f4cd7f4b46d93a0955a8027d8f","target":"record","created_at":"2026-05-18T01:10:27Z","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":"9f5ae0182e1b85a1f0312e525d216f08dc48360cfee25a867cbf92097f8000e0","cross_cats_sorted":["cs.NA","nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-07-24T22:57:37Z","title_canon_sha256":"6e217750524a1a22e1165e59f7f2c71ce068afd3dd6352935a80a0123a659c2a"},"schema_version":"1.0","source":{"id":"1607.07702","kind":"arxiv","version":1}},"canonical_sha256":"04d13f9caf87f2f2afc5ff83432617483cb902f9d2a2f828d47dc874e1a4d6f5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"04d13f9caf87f2f2afc5ff83432617483cb902f9d2a2f828d47dc874e1a4d6f5","first_computed_at":"2026-05-18T01:10:27.932545Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:27.932545Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"A6bmKtajCK1tzpi1xrIoHUQbg5U8O6IllX2412ACR2a95yORzXKq2BdtoEy5s4589AnrF0stOeCGzZHunUQ1BA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:27.933052Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.07702","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:438c77fe3c6e956e30e8b6feca97a01834e312f4cd7f4b46d93a0955a8027d8f","sha256:78eae24aeb55fe72d563a993986e06e8527ae7b66f0fbca407ae45e968db3380"],"state_sha256":"3833b1e15a1a8a7ff7039a8bb357a9916be18bf8ca50e775c8a97a6d9480f923"}