{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:NUQCJSJV7KHUEIZEWN6EUK5UTS","short_pith_number":"pith:NUQCJSJV","canonical_record":{"source":{"id":"2412.01591","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2024-12-02T15:08:55Z","cross_cats_sorted":["cs.LG","cs.RO","cs.SY","eess.SY","stat.ML"],"title_canon_sha256":"2665c117bb3619c9cda8409be69cc35cb08e27f8b7832b0875834d33b3c933bb","abstract_canon_sha256":"59261f0edadb370082d08d1dc8fc0c3528841864fcdda14b1d51c29498a0f762"},"schema_version":"1.0"},"canonical_sha256":"6d2024c935fa8f422324b37c4a2bb49c991556f0d61abd65a102f99c97f0c0d5","source":{"kind":"arxiv","id":"2412.01591","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.01591","created_at":"2026-07-05T10:53:49Z"},{"alias_kind":"arxiv_version","alias_value":"2412.01591v3","created_at":"2026-07-05T10:53:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.01591","created_at":"2026-07-05T10:53:49Z"},{"alias_kind":"pith_short_12","alias_value":"NUQCJSJV7KHU","created_at":"2026-07-05T10:53:49Z"},{"alias_kind":"pith_short_16","alias_value":"NUQCJSJV7KHUEIZE","created_at":"2026-07-05T10:53:49Z"},{"alias_kind":"pith_short_8","alias_value":"NUQCJSJV","created_at":"2026-07-05T10:53:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:NUQCJSJV7KHUEIZEWN6EUK5UTS","target":"record","payload":{"canonical_record":{"source":{"id":"2412.01591","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2024-12-02T15:08:55Z","cross_cats_sorted":["cs.LG","cs.RO","cs.SY","eess.SY","stat.ML"],"title_canon_sha256":"2665c117bb3619c9cda8409be69cc35cb08e27f8b7832b0875834d33b3c933bb","abstract_canon_sha256":"59261f0edadb370082d08d1dc8fc0c3528841864fcdda14b1d51c29498a0f762"},"schema_version":"1.0"},"canonical_sha256":"6d2024c935fa8f422324b37c4a2bb49c991556f0d61abd65a102f99c97f0c0d5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:53:49.739915Z","signature_b64":"HYqZ0WpFtBHWxq2jz03dktQ+N2PQqJUq2PB7FKD2AXqNpDaLzO2pymLrT6T4Bvup64VqEyFoUAt6tVvSfnTsBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6d2024c935fa8f422324b37c4a2bb49c991556f0d61abd65a102f99c97f0c0d5","last_reissued_at":"2026-07-05T10:53:49.739047Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:53:49.739047Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.01591","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:53:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DMyBz6XNdE3mpyaPO9ZGr1cbgJf9aMP5AgF8jpsu9CZ6+7iZ/or+L0rQWMtiWzYSNsZtBReGcG+SvHR0G0PpBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T17:25:43.962183Z"},"content_sha256":"449770959507bf2dd10039e942e0362e474961ac1c78d6023f79b19a54ee5d95","schema_version":"1.0","event_id":"sha256:449770959507bf2dd10039e942e0362e474961ac1c78d6023f79b19a54ee5d95"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:NUQCJSJV7KHUEIZEWN6EUK5UTS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Kernel-Based Optimal Control: An Infinitesimal Generator Approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","cs.RO","cs.SY","eess.SY","stat.ML"],"primary_cat":"math.OC","authors_text":"Boris Houska, Jan Br\\\"udigam, Nicolas Hoischen, Petar Bevanda, Sandra Hirche, Tobias Wittmann","submitted_at":"2024-12-02T15:08:55Z","abstract_excerpt":"This paper presents a novel operator-theoretic approach for optimal control of nonlinear stochastic systems within reproducing kernel Hilbert spaces. Our learning framework leverages data samples of system dynamics and stage cost functions, with only control penalties and constraints provided. The proposed method directly learns the infinitesimal generator of a controlled stochastic diffusion in an infinite-dimensional hypothesis space. We demonstrate that our approach seamlessly integrates with modern convex operator-theoretic Hamilton-Jacobi-Bellman recursions, enabling a data-driven solutio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.01591","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2412.01591/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:53:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pQ17sOV+C5I8/Z68nxztTWpfaeNuC2cNbGwseNXT7diNVtK0kPrz8YaJ3SzM7HMfazW0CjrFQ7O/7v73aAPhDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T17:25:43.962793Z"},"content_sha256":"b858986c13dd86b93627bf03ede79bfd8a1e838781338e38fd1b645c66cc9529","schema_version":"1.0","event_id":"sha256:b858986c13dd86b93627bf03ede79bfd8a1e838781338e38fd1b645c66cc9529"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NUQCJSJV7KHUEIZEWN6EUK5UTS/bundle.json","state_url":"https://pith.science/pith/NUQCJSJV7KHUEIZEWN6EUK5UTS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NUQCJSJV7KHUEIZEWN6EUK5UTS/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-12T17:25:44Z","links":{"resolver":"https://pith.science/pith/NUQCJSJV7KHUEIZEWN6EUK5UTS","bundle":"https://pith.science/pith/NUQCJSJV7KHUEIZEWN6EUK5UTS/bundle.json","state":"https://pith.science/pith/NUQCJSJV7KHUEIZEWN6EUK5UTS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NUQCJSJV7KHUEIZEWN6EUK5UTS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:NUQCJSJV7KHUEIZEWN6EUK5UTS","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":"59261f0edadb370082d08d1dc8fc0c3528841864fcdda14b1d51c29498a0f762","cross_cats_sorted":["cs.LG","cs.RO","cs.SY","eess.SY","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2024-12-02T15:08:55Z","title_canon_sha256":"2665c117bb3619c9cda8409be69cc35cb08e27f8b7832b0875834d33b3c933bb"},"schema_version":"1.0","source":{"id":"2412.01591","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.01591","created_at":"2026-07-05T10:53:49Z"},{"alias_kind":"arxiv_version","alias_value":"2412.01591v3","created_at":"2026-07-05T10:53:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.01591","created_at":"2026-07-05T10:53:49Z"},{"alias_kind":"pith_short_12","alias_value":"NUQCJSJV7KHU","created_at":"2026-07-05T10:53:49Z"},{"alias_kind":"pith_short_16","alias_value":"NUQCJSJV7KHUEIZE","created_at":"2026-07-05T10:53:49Z"},{"alias_kind":"pith_short_8","alias_value":"NUQCJSJV","created_at":"2026-07-05T10:53:49Z"}],"graph_snapshots":[{"event_id":"sha256:b858986c13dd86b93627bf03ede79bfd8a1e838781338e38fd1b645c66cc9529","target":"graph","created_at":"2026-07-05T10:53:49Z","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/2412.01591/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper presents a novel operator-theoretic approach for optimal control of nonlinear stochastic systems within reproducing kernel Hilbert spaces. Our learning framework leverages data samples of system dynamics and stage cost functions, with only control penalties and constraints provided. The proposed method directly learns the infinitesimal generator of a controlled stochastic diffusion in an infinite-dimensional hypothesis space. We demonstrate that our approach seamlessly integrates with modern convex operator-theoretic Hamilton-Jacobi-Bellman recursions, enabling a data-driven solutio","authors_text":"Boris Houska, Jan Br\\\"udigam, Nicolas Hoischen, Petar Bevanda, Sandra Hirche, Tobias Wittmann","cross_cats":["cs.LG","cs.RO","cs.SY","eess.SY","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2024-12-02T15:08:55Z","title":"Kernel-Based Optimal Control: An Infinitesimal Generator Approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.01591","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":"sha256:449770959507bf2dd10039e942e0362e474961ac1c78d6023f79b19a54ee5d95","target":"record","created_at":"2026-07-05T10:53:49Z","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":"59261f0edadb370082d08d1dc8fc0c3528841864fcdda14b1d51c29498a0f762","cross_cats_sorted":["cs.LG","cs.RO","cs.SY","eess.SY","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2024-12-02T15:08:55Z","title_canon_sha256":"2665c117bb3619c9cda8409be69cc35cb08e27f8b7832b0875834d33b3c933bb"},"schema_version":"1.0","source":{"id":"2412.01591","kind":"arxiv","version":3}},"canonical_sha256":"6d2024c935fa8f422324b37c4a2bb49c991556f0d61abd65a102f99c97f0c0d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6d2024c935fa8f422324b37c4a2bb49c991556f0d61abd65a102f99c97f0c0d5","first_computed_at":"2026-07-05T10:53:49.739047Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:53:49.739047Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HYqZ0WpFtBHWxq2jz03dktQ+N2PQqJUq2PB7FKD2AXqNpDaLzO2pymLrT6T4Bvup64VqEyFoUAt6tVvSfnTsBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:53:49.739915Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.01591","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:449770959507bf2dd10039e942e0362e474961ac1c78d6023f79b19a54ee5d95","sha256:b858986c13dd86b93627bf03ede79bfd8a1e838781338e38fd1b645c66cc9529"],"state_sha256":"e6e80186e38774ef1154cc6a826239aff00086debbccf8ddbd86895d9bda3a20"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b/d5KWei0ugmKWi6kpZFYSHbmc/8g8OiJJ5Ckq/0QHuw7o3MlZcNO5fdET+rtE73rGJwpmEnDWxAMmmNW55zBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T17:25:44.032247Z","bundle_sha256":"d476255abd3b883b1acc435eaaa58999ffe66476fa58b722a9cbe2d8c922da7f"}}