{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:LL5VAXA2DAMEL4EOZVAIUR24DH","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":"2a2a23c81d612ee389fabb8d6daf545e818ab4e15fc1a1eb9562eff0580989b0","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-04-08T04:23:46Z","title_canon_sha256":"3417235ce87156851cde5d0fe06f026847e2d465444c3149e211024126c09f7a"},"schema_version":"1.0","source":{"id":"2304.03907","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2304.03907","created_at":"2026-07-05T11:59:02Z"},{"alias_kind":"arxiv_version","alias_value":"2304.03907v6","created_at":"2026-07-05T11:59:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.03907","created_at":"2026-07-05T11:59:02Z"},{"alias_kind":"pith_short_12","alias_value":"LL5VAXA2DAME","created_at":"2026-07-05T11:59:02Z"},{"alias_kind":"pith_short_16","alias_value":"LL5VAXA2DAMEL4EO","created_at":"2026-07-05T11:59:02Z"},{"alias_kind":"pith_short_8","alias_value":"LL5VAXA2","created_at":"2026-07-05T11:59:02Z"}],"graph_snapshots":[{"event_id":"sha256:00ca4ca5773a7ec023d43adeee7c9bc2e35a7a55ebdd9c759584dcd18fb0b858","target":"graph","created_at":"2026-07-05T11:59:02Z","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/2304.03907/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper proposes an approach, Spectral Dynamics Embedding Control (SDEC), to optimal control for nonlinear stochastic systems. This method reveals an infinite-dimensional feature representation induced by the system's nonlinear stochastic dynamics, enabling a linear representation of the state-action value function. For practical implementation, this representation is approximated using finite-dimensional truncations, specifically via two prominent kernel approximation methods: random feature truncation and Nystrom approximation. To characterize the effectiveness of these approximations, we","authors_text":"Bo Dai, Haitong Ma, Na Li, Tongzheng Ren, Zhaolin Ren","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-04-08T04:23:46Z","title":"Stochastic Nonlinear Control via Finite-dimensional Spectral Dynamic Embedding"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.03907","kind":"arxiv","version":6},"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":"sha256:81e9485f78135309aa75db1a5428b49905a42fa8932ff8c8a5272e2db3abe79d","target":"record","created_at":"2026-07-05T11:59:02Z","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":"2a2a23c81d612ee389fabb8d6daf545e818ab4e15fc1a1eb9562eff0580989b0","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-04-08T04:23:46Z","title_canon_sha256":"3417235ce87156851cde5d0fe06f026847e2d465444c3149e211024126c09f7a"},"schema_version":"1.0","source":{"id":"2304.03907","kind":"arxiv","version":6}},"canonical_sha256":"5afb505c1a181845f08ecd408a475c19d12ba8988030c7271ab00c6860954484","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5afb505c1a181845f08ecd408a475c19d12ba8988030c7271ab00c6860954484","first_computed_at":"2026-07-05T11:59:02.921110Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:59:02.921110Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Zo9C6ip1v0XpjaKMnYRfYJ4BKJVm8kFrp4iKpkVsxgbZ3h48lYTnnnLjD6UnyM9s7bRa1j7Qi04mHQnqmRKtBw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:59:02.921600Z","signed_message":"canonical_sha256_bytes"},"source_id":"2304.03907","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:81e9485f78135309aa75db1a5428b49905a42fa8932ff8c8a5272e2db3abe79d","sha256:00ca4ca5773a7ec023d43adeee7c9bc2e35a7a55ebdd9c759584dcd18fb0b858"],"state_sha256":"9f1dfba8c8e5c9bc0d047dd750400b52ab1cd335f281c3bcd1189054459adbcf"}