{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:YFGJRMSUOPXP5QDII4VM3JS42V","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":"c4af9b9d1026d3cb4e28007be80da3868cc840d0a372789bcc7121b62a7d435f","cross_cats_sorted":["cs.NA","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-08-28T16:12:36Z","title_canon_sha256":"1dc320698701bb6c898e012f8e996deea03f3d9fbcaa478a2cfde1295557048b"},"schema_version":"1.0","source":{"id":"2408.15900","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.15900","created_at":"2026-07-05T09:00:19Z"},{"alias_kind":"arxiv_version","alias_value":"2408.15900v1","created_at":"2026-07-05T09:00:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.15900","created_at":"2026-07-05T09:00:19Z"},{"alias_kind":"pith_short_12","alias_value":"YFGJRMSUOPXP","created_at":"2026-07-05T09:00:19Z"},{"alias_kind":"pith_short_16","alias_value":"YFGJRMSUOPXP5QDI","created_at":"2026-07-05T09:00:19Z"},{"alias_kind":"pith_short_8","alias_value":"YFGJRMSU","created_at":"2026-07-05T09:00:19Z"}],"graph_snapshots":[{"event_id":"sha256:833a31f46a27447172e27a1c739af88cae4039659e4b381b3c13415b7f824733","target":"graph","created_at":"2026-07-05T09:00:19Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2408.15900/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this contribution we develop an efficient reduced order model for solving parametrized linear-quadratic optimal control problems with linear time-varying state system. The fully reduced model combines reduced basis approximations of the system dynamics and of the manifold of optimal final time adjoint states to achieve a computational complexity independent of the original state space. Such a combination is particularly beneficial in the case where a deviation in a low-dimensional output is penalized. In addition, an offline-online decomposed a posteriori error estimator bounding the error ","authors_text":"Hendrik Kleikamp, Lukas Renelt","cross_cats":["cs.NA","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-08-28T16:12:36Z","title":"Two-stage model reduction approaches for the efficient and certified solution of parametrized optimal control problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.15900","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:a87ccd6741f9ddeb74ee05d33380c829794509b7100dfcec4aada135c3ee2406","target":"record","created_at":"2026-07-05T09:00:19Z","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":"c4af9b9d1026d3cb4e28007be80da3868cc840d0a372789bcc7121b62a7d435f","cross_cats_sorted":["cs.NA","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-08-28T16:12:36Z","title_canon_sha256":"1dc320698701bb6c898e012f8e996deea03f3d9fbcaa478a2cfde1295557048b"},"schema_version":"1.0","source":{"id":"2408.15900","kind":"arxiv","version":1}},"canonical_sha256":"c14c98b25473eefec068472acda65cd54e56b480f179191c37181725f4df7b79","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c14c98b25473eefec068472acda65cd54e56b480f179191c37181725f4df7b79","first_computed_at":"2026-07-05T09:00:19.123526Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:00:19.123526Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GjuIvrwoHjZqm7930rGRMGdgmI7raU2m5scAj6GaVWxpJzArpeCPYhjOYQLtU0EOCFzFOMawM0gHqRDsqpAjAA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:00:19.124022Z","signed_message":"canonical_sha256_bytes"},"source_id":"2408.15900","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a87ccd6741f9ddeb74ee05d33380c829794509b7100dfcec4aada135c3ee2406","sha256:833a31f46a27447172e27a1c739af88cae4039659e4b381b3c13415b7f824733"],"state_sha256":"d402d77aa2c8a8d8a12a5b6570016e1e45fb701a26c41922c81000350b41345e"}