{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:OPXPCQNDXJVUQUDRCRSFP7QWKM","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":"67568b86839e782feb656b3ed98995484a318bd317b8b38ae2717d4e430e6285","cross_cats_sorted":["math.DS","physics.app-ph","physics.comp-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-06-05T02:50:27Z","title_canon_sha256":"54ac364ce1232dbfc3a3e1dcb1cfe1d59e253a290ef1905b643c77871c8b6921"},"schema_version":"1.0","source":{"id":"2406.02875","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.02875","created_at":"2026-07-05T08:54:36Z"},{"alias_kind":"arxiv_version","alias_value":"2406.02875v3","created_at":"2026-07-05T08:54:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.02875","created_at":"2026-07-05T08:54:36Z"},{"alias_kind":"pith_short_12","alias_value":"OPXPCQNDXJVU","created_at":"2026-07-05T08:54:36Z"},{"alias_kind":"pith_short_16","alias_value":"OPXPCQNDXJVUQUDR","created_at":"2026-07-05T08:54:36Z"},{"alias_kind":"pith_short_8","alias_value":"OPXPCQND","created_at":"2026-07-05T08:54:36Z"}],"graph_snapshots":[{"event_id":"sha256:fc6288280a0c4e6f32c025afd3ffac883a343d40efb00dadfab85ea4de771f1a","target":"graph","created_at":"2026-07-05T08:54:36Z","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/2406.02875/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Multi-layer perceptrons (MLP's) have been extensively utilized in discovering Deep Koopman operators for linearizing nonlinear dynamics. With the emergence of Kolmogorov-Arnold Networks (KANs) as a more efficient and accurate alternative to the MLP Neural Network, we propose a comparison of the performance of each network type in the context of learning Koopman operators with control. In this work, we propose a KANs-based deep Koopman framework with applications to an orbital Two-Body Problem (2BP) and the pendulum for data-driven discovery of linear system dynamics. KANs were found to be supe","authors_text":"George Nehma, Madhur Tiwari","cross_cats":["math.DS","physics.app-ph","physics.comp-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-06-05T02:50:27Z","title":"Leveraging KANs For Enhanced Deep Koopman Operator Discovery"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.02875","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:b650bded542474906ba2ad82e7510833e5aeea8021dc7c234c94f2e788e43e34","target":"record","created_at":"2026-07-05T08:54:36Z","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":"67568b86839e782feb656b3ed98995484a318bd317b8b38ae2717d4e430e6285","cross_cats_sorted":["math.DS","physics.app-ph","physics.comp-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-06-05T02:50:27Z","title_canon_sha256":"54ac364ce1232dbfc3a3e1dcb1cfe1d59e253a290ef1905b643c77871c8b6921"},"schema_version":"1.0","source":{"id":"2406.02875","kind":"arxiv","version":3}},"canonical_sha256":"73eef141a3ba6b485071146457fe16530723d2c2bdf60abe3257414439bdc369","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73eef141a3ba6b485071146457fe16530723d2c2bdf60abe3257414439bdc369","first_computed_at":"2026-07-05T08:54:36.432743Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:54:36.432743Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2ufgQaasjKlewp+XGhjMcsKGrtyoDrFuOMtPq9cvrMINbeWaTPVXxu1BE4rwrmAJL+GVD2Xjw6TouUl85UcgBg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:54:36.433159Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.02875","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b650bded542474906ba2ad82e7510833e5aeea8021dc7c234c94f2e788e43e34","sha256:fc6288280a0c4e6f32c025afd3ffac883a343d40efb00dadfab85ea4de771f1a"],"state_sha256":"c6ee74b570ca1b8caa0aa0299b9fea50214fb4c6ce8d8a20714aa4eef3db6922"}