{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:FCC6JQGUVPFHRDOUUYWF5QVN5H","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":"87ee42c99d4a4cca56f53b30bf44c824ec69903520e890ef212ced87c75d75d2","cross_cats_sorted":["cs.SY","eess.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2021-12-08T02:40:40Z","title_canon_sha256":"044b05422bd5e9b9a2e526dd93faddff86ca74ee53b5b7677da89d8e7d196285"},"schema_version":"1.0","source":{"id":"2112.04085","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.04085","created_at":"2026-07-05T04:27:09Z"},{"alias_kind":"arxiv_version","alias_value":"2112.04085v2","created_at":"2026-07-05T04:27:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.04085","created_at":"2026-07-05T04:27:09Z"},{"alias_kind":"pith_short_12","alias_value":"FCC6JQGUVPFH","created_at":"2026-07-05T04:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"FCC6JQGUVPFHRDOU","created_at":"2026-07-05T04:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"FCC6JQGU","created_at":"2026-07-05T04:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:d21621e903eca1610a9ce2bbcac10cd863bf425c8834e9152b7e49562af45eb1","target":"graph","created_at":"2026-07-05T04:27:09Z","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/2112.04085/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"System representations inspired by the infinite-dimensional Koopman operator (generator) are increasingly considered for predictive modeling. Due to the operator's linearity, a range of nonlinear systems admit linear predictor representations - allowing for simplified prediction, analysis and control. However, finding meaningful finite-dimensional representations for prediction is difficult as it involves determining features that are both Koopman-invariant (evolve linearly under the dynamics) as well as relevant (spanning the original state) - a generally unsupervised problem. In this work, w","authors_text":"Armin Lederer, Max Beier, Petar Bevanda, Sandra Hirche, Sebastian Kerz, Stefan Sosnowski","cross_cats":["cs.SY","eess.SY"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2021-12-08T02:40:40Z","title":"Diffeomorphically Learning Stable Koopman Operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.04085","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:f4aa7fdd67c415096d1f489588120085fdad5dbf0b838202b73e4e12a59261f8","target":"record","created_at":"2026-07-05T04:27:09Z","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":"87ee42c99d4a4cca56f53b30bf44c824ec69903520e890ef212ced87c75d75d2","cross_cats_sorted":["cs.SY","eess.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2021-12-08T02:40:40Z","title_canon_sha256":"044b05422bd5e9b9a2e526dd93faddff86ca74ee53b5b7677da89d8e7d196285"},"schema_version":"1.0","source":{"id":"2112.04085","kind":"arxiv","version":2}},"canonical_sha256":"2885e4c0d4abca788dd4a62c5ec2ade9cfdc159406ed4198283a19e3f5f588fc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2885e4c0d4abca788dd4a62c5ec2ade9cfdc159406ed4198283a19e3f5f588fc","first_computed_at":"2026-07-05T04:27:09.496501Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:27:09.496501Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5a2B6XmfN2aY1ZLmZ+8F+SQxclAIrgfa302VYnTh1ojFngQPSD8ynX1G5MPcPMxHb9nQmvAwS3kigxZYgsuMCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T04:27:09.496987Z","signed_message":"canonical_sha256_bytes"},"source_id":"2112.04085","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f4aa7fdd67c415096d1f489588120085fdad5dbf0b838202b73e4e12a59261f8","sha256:d21621e903eca1610a9ce2bbcac10cd863bf425c8834e9152b7e49562af45eb1"],"state_sha256":"50dbeed6734089fb175e20203faee27fdbb7ee19f7ec832351adfc063e2a7cbb"}