{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:DPSJUW42PKTMEXK7FT75YCZETQ","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":"d860f97cb872a1fb328375add24b79e48ed6a904d46f1e5748a094a6d03e8541","cross_cats_sorted":["cs.AI","cs.SY","eess.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-12-04T00:11:27Z","title_canon_sha256":"a10c41ac963bf57366d4c40faab8fe20bb5d901f4b46c5f47c8f37d3cc863858"},"schema_version":"1.0","source":{"id":"2312.01544","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.01544","created_at":"2026-07-05T10:21:16Z"},{"alias_kind":"arxiv_version","alias_value":"2312.01544v3","created_at":"2026-07-05T10:21:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.01544","created_at":"2026-07-05T10:21:16Z"},{"alias_kind":"pith_short_12","alias_value":"DPSJUW42PKTM","created_at":"2026-07-05T10:21:16Z"},{"alias_kind":"pith_short_16","alias_value":"DPSJUW42PKTMEXK7","created_at":"2026-07-05T10:21:16Z"},{"alias_kind":"pith_short_8","alias_value":"DPSJUW42","created_at":"2026-07-05T10:21:16Z"}],"graph_snapshots":[{"event_id":"sha256:33b9bf31a3d4487e64c9b23886bdb632d59d2836c78db0d0c8038d64cb82aa8d","target":"graph","created_at":"2026-07-05T10:21:16Z","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/2312.01544/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"An efficient way to control systems with unknown nonlinear dynamics is to find an appropriate embedding or representation for simplified approximation (e.g. linearization), which facilitates system identification and control synthesis. Nevertheless, there has been a lack of embedding methods that can guarantee (i) embedding the dynamical system comprehensively, including the vector fields (ODE form) of the dynamics, and (ii) preserving the consistency of control effect between the original and latent space. To address these challenges, we propose Koopman Embedded Equivariant Control (KEEC) to ","authors_text":"Wei Jiang, Xiaohang Tang, Xiaoyuan Cheng, Yiming Yang, Yukun Hu","cross_cats":["cs.AI","cs.SY","eess.SY"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-12-04T00:11:27Z","title":"KEEC: Koopman Embedded Equivariant Control"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.01544","kind":"arxiv","version":3},"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":"sha256:8a01b6318d781ba07d660947d6468dc8d9b9304ad8a5b55b340880a0d19db08d","target":"record","created_at":"2026-07-05T10:21:16Z","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":"d860f97cb872a1fb328375add24b79e48ed6a904d46f1e5748a094a6d03e8541","cross_cats_sorted":["cs.AI","cs.SY","eess.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-12-04T00:11:27Z","title_canon_sha256":"a10c41ac963bf57366d4c40faab8fe20bb5d901f4b46c5f47c8f37d3cc863858"},"schema_version":"1.0","source":{"id":"2312.01544","kind":"arxiv","version":3}},"canonical_sha256":"1be49a5b9a7aa6c25d5f2cffdc0b249c209f6b18db18236f2679b35a4e49b08d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1be49a5b9a7aa6c25d5f2cffdc0b249c209f6b18db18236f2679b35a4e49b08d","first_computed_at":"2026-07-05T10:21:16.803439Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:21:16.803439Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iKNcWGwxb3zGV3YHgNPGWq6kozlxhV/RSmnV/ewrwNuwdV9yJc50ST/AvEWNXnJv/JFsJc6m4gIuEtBPBb9VBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:21:16.803905Z","signed_message":"canonical_sha256_bytes"},"source_id":"2312.01544","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a01b6318d781ba07d660947d6468dc8d9b9304ad8a5b55b340880a0d19db08d","sha256:33b9bf31a3d4487e64c9b23886bdb632d59d2836c78db0d0c8038d64cb82aa8d"],"state_sha256":"6ad4b8d375a87012f407fb280fcd9390e816627d8e715be990118df2c826c5e2"}