{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:36AHU5TDTQQNVEWY5MJAS3BVP7","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":"7c5097ca059ad0bec0e82ac056e94c1cd788217ed47147f43f6f198527f7bfe3","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-03-19T00:38:40Z","title_canon_sha256":"f9b9ebae2a5dadbfb62bae0b641190054d7897c4568bac6e60f55397293d6c56"},"schema_version":"1.0","source":{"id":"1403.4655","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.4655","created_at":"2026-05-18T01:03:24Z"},{"alias_kind":"arxiv_version","alias_value":"1403.4655v1","created_at":"2026-05-18T01:03:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.4655","created_at":"2026-05-18T01:03:24Z"},{"alias_kind":"pith_short_12","alias_value":"36AHU5TDTQQN","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"36AHU5TDTQQNVEWY","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"36AHU5TD","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:7d821ed91da43a7437f05bba4c0255cc1040aa868dcdd5fc1e5fe50927697b7e","target":"graph","created_at":"2026-05-18T01:03:24Z","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":"Vector Fitting is a popular method of constructing rational approximants designed to fit given frequency response measurements. The original method, which we refer to as VF, is based on a least-squares fit to the measurements by a rational function, using an iterative reallocation of the poles of the approximant. We show that one can improve the performance of VF significantly, by using a particular choice of frequency sampling points and properly weighting their contribution based on quadrature rules that connect the least squares objective with an H2 error measure. Our modified approach, des","authors_text":"Christopher Beattie, Serkan Gugercin, Zlatko Drmac","cross_cats":["cs.SY"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-03-19T00:38:40Z","title":"Quadrature-Based Vector Fitting: Implications For H2 System Approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.4655","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:a5c74caf088b4e161760e70cd3f3fb6ac04649d4e62186f7dc8eb66d96d75a4d","target":"record","created_at":"2026-05-18T01:03:24Z","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":"7c5097ca059ad0bec0e82ac056e94c1cd788217ed47147f43f6f198527f7bfe3","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-03-19T00:38:40Z","title_canon_sha256":"f9b9ebae2a5dadbfb62bae0b641190054d7897c4568bac6e60f55397293d6c56"},"schema_version":"1.0","source":{"id":"1403.4655","kind":"arxiv","version":1}},"canonical_sha256":"df807a76639c20da92d8eb12096c357fcb75121db6402091a70cf7294b54087c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"df807a76639c20da92d8eb12096c357fcb75121db6402091a70cf7294b54087c","first_computed_at":"2026-05-18T01:03:24.272874Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:03:24.272874Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1iRrOoPwGi7ie9nKfeW3o0OQq79HhyRe5+hAIsMeCQMbFYYO4qB9SB5uU2x+lDjorGSPBvX55smZUg1Gol6VAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:03:24.273323Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.4655","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a5c74caf088b4e161760e70cd3f3fb6ac04649d4e62186f7dc8eb66d96d75a4d","sha256:7d821ed91da43a7437f05bba4c0255cc1040aa868dcdd5fc1e5fe50927697b7e"],"state_sha256":"4ddeef6a7e7d9dc715c8671dd28fa05e6403a14718ff2da1ea5cbb511f2c26b0"}