{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:2KTMRIVYSS4GXSKMZYSIG6L6BN","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":"829db44215b2a77a5911df4ae330e41a326b81357380c39f8f684aaa3dc894e8","cross_cats_sorted":["cs.SY","math.DS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2025-10-24T16:43:09Z","title_canon_sha256":"d1f45e3783fc805ed39d4608141c7c9d0903c173d4ba84f3b86023e17fa1703f"},"schema_version":"1.0","source":{"id":"2511.03734","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2511.03734","created_at":"2026-06-02T02:04:48Z"},{"alias_kind":"arxiv_version","alias_value":"2511.03734v2","created_at":"2026-06-02T02:04:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2511.03734","created_at":"2026-06-02T02:04:48Z"},{"alias_kind":"pith_short_12","alias_value":"2KTMRIVYSS4G","created_at":"2026-06-02T02:04:48Z"},{"alias_kind":"pith_short_16","alias_value":"2KTMRIVYSS4GXSKM","created_at":"2026-06-02T02:04:48Z"},{"alias_kind":"pith_short_8","alias_value":"2KTMRIVY","created_at":"2026-06-02T02:04:48Z"}],"graph_snapshots":[{"event_id":"sha256:b2c809c2e1a704e3b7708a343d971e2a1cb06d95b73f87ab67779907664f7d09","target":"graph","created_at":"2026-06-02T02:04:48Z","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/2511.03734/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Koopman operator and extended dynamic mode decomposition (EDMD) as a data-driven technique for its approximation have attracted considerable attention as a key tool for modeling, analysis, and control of complex dynamical systems. However, extensions towards control-affine systems resulting in bilinear surrogate models are prone to demanding data requirements rendering their applicability intricate. In this paper, we propose a framework for data-fitting of control-affine mappings to increase the robustness margin in the associated system identification problem and, thus, to provide reliabl","authors_text":"Friedrich M. Philipp, Henrik Ebel, Karl Worthmann, Lea Bold, Mario Rosenfelder, Peter Eberhard, Philipp Schmitz","cross_cats":["cs.SY","math.DS"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2025-10-24T16:43:09Z","title":"Excitation of control-affine systems and Koopman error bounds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2511.03734","kind":"arxiv","version":2},"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:e1782dc7ee14e51e6cc8268fbc93012032b3d07dc59a7582a108ac45ace7df82","target":"record","created_at":"2026-06-02T02:04:48Z","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":"829db44215b2a77a5911df4ae330e41a326b81357380c39f8f684aaa3dc894e8","cross_cats_sorted":["cs.SY","math.DS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2025-10-24T16:43:09Z","title_canon_sha256":"d1f45e3783fc805ed39d4608141c7c9d0903c173d4ba84f3b86023e17fa1703f"},"schema_version":"1.0","source":{"id":"2511.03734","kind":"arxiv","version":2}},"canonical_sha256":"d2a6c8a2b894b86bc94cce2483797e0b5171b6ee9c21cd9cd4f882c9c174700d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d2a6c8a2b894b86bc94cce2483797e0b5171b6ee9c21cd9cd4f882c9c174700d","first_computed_at":"2026-06-02T02:04:48.768118Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-02T02:04:48.768118Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9bQS0n42u/8UMTxAQDK22sDQoidxL1+7gr5n6a4Wva0GE2pVm/e7J9F/BaNpo/I6EUk824DWsrl/TDhT9NFMCw==","signature_status":"signed_v1","signed_at":"2026-06-02T02:04:48.768597Z","signed_message":"canonical_sha256_bytes"},"source_id":"2511.03734","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e1782dc7ee14e51e6cc8268fbc93012032b3d07dc59a7582a108ac45ace7df82","sha256:b2c809c2e1a704e3b7708a343d971e2a1cb06d95b73f87ab67779907664f7d09"],"state_sha256":"8d493a388796dae8d2f7bb36acb71ac3ede33759779ba0f58dfd4ee4ee269db1"}