{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:2ALHRP3L4CFGKXNOD6LDUBPNXX","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":"ca349d83b5aa683a229f2ba9e214388de18fd3ed3cb274157699ee5afa3900d7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-08-17T00:31:16Z","title_canon_sha256":"01af07170bae54b2ce97bf6b9d87ab36f0ba44dfd9a3b41da0eddfef9eca3e7b"},"schema_version":"1.0","source":{"id":"1808.05716","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.05716","created_at":"2026-05-18T00:07:52Z"},{"alias_kind":"arxiv_version","alias_value":"1808.05716v1","created_at":"2026-05-18T00:07:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.05716","created_at":"2026-05-18T00:07:52Z"},{"alias_kind":"pith_short_12","alias_value":"2ALHRP3L4CFG","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"2ALHRP3L4CFGKXNO","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"2ALHRP3L","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:e31745b41486ad769d6ce8e04b04093a73b610e4062421d4252db8ffba0a12ff","target":"graph","created_at":"2026-05-18T00:07:52Z","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":"Given a set of response observations for a parametrized dynamical system, we seek a parametrized dynamical model that will yield uniformly small response error over a range of parameter values yet has low order. Frequently, access to internal system dynamics or equivalently, to realizations of the original system is either not possible or not practical; only response observations over a range of parameter settings might be known. Respecting these typical operational constraints, we propose a two phase approach that first encodes the response data into a high fidelity intermediate model of mode","authors_text":"Alexander Grimm, Christopher Beattie, Serkan Gugercin, Zlatko Drma\\v{c}","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-08-17T00:31:16Z","title":"Empirical least-squares fitting of parametrized dynamical systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.05716","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":"sha256:72090ae3408a53f5e6efc03a4d0fd85cb0531f4c463834a9c6069a7f02092561","target":"record","created_at":"2026-05-18T00:07:52Z","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":"ca349d83b5aa683a229f2ba9e214388de18fd3ed3cb274157699ee5afa3900d7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-08-17T00:31:16Z","title_canon_sha256":"01af07170bae54b2ce97bf6b9d87ab36f0ba44dfd9a3b41da0eddfef9eca3e7b"},"schema_version":"1.0","source":{"id":"1808.05716","kind":"arxiv","version":1}},"canonical_sha256":"d01678bf6be08a655dae1f963a05edbdc0320a9fd7436c6dfed524d25c701c2c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d01678bf6be08a655dae1f963a05edbdc0320a9fd7436c6dfed524d25c701c2c","first_computed_at":"2026-05-18T00:07:52.395852Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:07:52.395852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pU7AhwhdS2BGE6NzXkYPF6LoSRKPqlw/JR8ysN4/uMGg19ReZaDQ7jjYwkOJqjHXrqafo1+Lklec8frQHiAODQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:07:52.396532Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.05716","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:72090ae3408a53f5e6efc03a4d0fd85cb0531f4c463834a9c6069a7f02092561","sha256:e31745b41486ad769d6ce8e04b04093a73b610e4062421d4252db8ffba0a12ff"],"state_sha256":"3ffb4e063fb5290f400e9982c38abbe8282725c3d60c3a9f87fb6e9ddcf8d85e"}