{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:2QYYP3B2GR54VZ3VFDL75NFBNC","short_pith_number":"pith:2QYYP3B2","canonical_record":{"source":{"id":"1404.3984","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2014-04-15T16:48:42Z","cross_cats_sorted":[],"title_canon_sha256":"0098fc988ad525901ffd47537179cec8ffe4e55a821bda241eb4ed684cba5ca5","abstract_canon_sha256":"1e45ce861e93dc17ec984c861285096568a24599483664ef15ae36a78a8aadea"},"schema_version":"1.0"},"canonical_sha256":"d43187ec3a347bcae77528d7feb4a168a4c2d3d2378bd4b2d9f27d36e75ef56e","source":{"kind":"arxiv","id":"1404.3984","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.3984","created_at":"2026-05-18T01:12:23Z"},{"alias_kind":"arxiv_version","alias_value":"1404.3984v4","created_at":"2026-05-18T01:12:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.3984","created_at":"2026-05-18T01:12:23Z"},{"alias_kind":"pith_short_12","alias_value":"2QYYP3B2GR54","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"2QYYP3B2GR54VZ3V","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"2QYYP3B2","created_at":"2026-05-18T12:28:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:2QYYP3B2GR54VZ3VFDL75NFBNC","target":"record","payload":{"canonical_record":{"source":{"id":"1404.3984","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2014-04-15T16:48:42Z","cross_cats_sorted":[],"title_canon_sha256":"0098fc988ad525901ffd47537179cec8ffe4e55a821bda241eb4ed684cba5ca5","abstract_canon_sha256":"1e45ce861e93dc17ec984c861285096568a24599483664ef15ae36a78a8aadea"},"schema_version":"1.0"},"canonical_sha256":"d43187ec3a347bcae77528d7feb4a168a4c2d3d2378bd4b2d9f27d36e75ef56e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:23.021121Z","signature_b64":"mBK+MQtj6VdyZNRHvjB9SBRiO+eJQ8Qvkgkj9154QsJ/qeZrQ/PsS8DNzuGBeBXZ0drji83u5b0DGTNWhDEIBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d43187ec3a347bcae77528d7feb4a168a4c2d3d2378bd4b2d9f27d36e75ef56e","last_reissued_at":"2026-05-18T01:12:23.020712Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:23.020712Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.3984","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:12:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y7PMHoLS5gZPWQWrJ2DLaxsctaFquL7lzd2mS8sjqyxR48NFQZZlx68huY2Y7VoFNC1D6cvjcBtqKd65KyarCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T05:19:53.136904Z"},"content_sha256":"e2891b4c84abb561f486c0ca31b778106fa55c85353bebed92590a4886b927cb","schema_version":"1.0","event_id":"sha256:e2891b4c84abb561f486c0ca31b778106fa55c85353bebed92590a4886b927cb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:2QYYP3B2GR54VZ3VFDL75NFBNC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonparametric Infinite Horizon Kullback-Leibler Stochastic Control","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.SY","authors_text":"Evangelos Theodorou, Yunpeng Pan","submitted_at":"2014-04-15T16:48:42Z","abstract_excerpt":"We present two nonparametric approaches to Kullback-Leibler (KL) control, or linearly-solvable Markov decision problem (LMDP) based on Gaussian processes (GP) and Nystr\\\"{o}m approximation. Compared to recently developed parametric methods, the proposed data-driven frameworks feature accurate function approximation and efficient on-line operations. Theoretically, we derive the mathematical connection of KL control based on dynamic programming with earlier work in control theory which relies on information theoretic dualities for the infinite time horizon case. Algorithmically, we give explicit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.3984","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T01:12:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cidqFYbqGJwm207r6YNrY41EmfU0T5JJbWAoUCivkOTFIO5HrKQ1vMKbZH6oONs+W0zUHWGrVGkn0Eq9lY5YDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T05:19:53.137483Z"},"content_sha256":"6cbc7eb72bdeae594837372e0c1705758ea528c9d21188c9d9b05565411a2a49","schema_version":"1.0","event_id":"sha256:6cbc7eb72bdeae594837372e0c1705758ea528c9d21188c9d9b05565411a2a49"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2QYYP3B2GR54VZ3VFDL75NFBNC/bundle.json","state_url":"https://pith.science/pith/2QYYP3B2GR54VZ3VFDL75NFBNC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2QYYP3B2GR54VZ3VFDL75NFBNC/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":"2026-05-30T05:19:53Z","links":{"resolver":"https://pith.science/pith/2QYYP3B2GR54VZ3VFDL75NFBNC","bundle":"https://pith.science/pith/2QYYP3B2GR54VZ3VFDL75NFBNC/bundle.json","state":"https://pith.science/pith/2QYYP3B2GR54VZ3VFDL75NFBNC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2QYYP3B2GR54VZ3VFDL75NFBNC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:2QYYP3B2GR54VZ3VFDL75NFBNC","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":"1e45ce861e93dc17ec984c861285096568a24599483664ef15ae36a78a8aadea","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2014-04-15T16:48:42Z","title_canon_sha256":"0098fc988ad525901ffd47537179cec8ffe4e55a821bda241eb4ed684cba5ca5"},"schema_version":"1.0","source":{"id":"1404.3984","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.3984","created_at":"2026-05-18T01:12:23Z"},{"alias_kind":"arxiv_version","alias_value":"1404.3984v4","created_at":"2026-05-18T01:12:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.3984","created_at":"2026-05-18T01:12:23Z"},{"alias_kind":"pith_short_12","alias_value":"2QYYP3B2GR54","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"2QYYP3B2GR54VZ3V","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"2QYYP3B2","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:6cbc7eb72bdeae594837372e0c1705758ea528c9d21188c9d9b05565411a2a49","target":"graph","created_at":"2026-05-18T01:12:23Z","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"},"paper":{"abstract_excerpt":"We present two nonparametric approaches to Kullback-Leibler (KL) control, or linearly-solvable Markov decision problem (LMDP) based on Gaussian processes (GP) and Nystr\\\"{o}m approximation. Compared to recently developed parametric methods, the proposed data-driven frameworks feature accurate function approximation and efficient on-line operations. Theoretically, we derive the mathematical connection of KL control based on dynamic programming with earlier work in control theory which relies on information theoretic dualities for the infinite time horizon case. Algorithmically, we give explicit","authors_text":"Evangelos Theodorou, Yunpeng Pan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2014-04-15T16:48:42Z","title":"Nonparametric Infinite Horizon Kullback-Leibler Stochastic Control"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.3984","kind":"arxiv","version":4},"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:e2891b4c84abb561f486c0ca31b778106fa55c85353bebed92590a4886b927cb","target":"record","created_at":"2026-05-18T01:12:23Z","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":"1e45ce861e93dc17ec984c861285096568a24599483664ef15ae36a78a8aadea","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2014-04-15T16:48:42Z","title_canon_sha256":"0098fc988ad525901ffd47537179cec8ffe4e55a821bda241eb4ed684cba5ca5"},"schema_version":"1.0","source":{"id":"1404.3984","kind":"arxiv","version":4}},"canonical_sha256":"d43187ec3a347bcae77528d7feb4a168a4c2d3d2378bd4b2d9f27d36e75ef56e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d43187ec3a347bcae77528d7feb4a168a4c2d3d2378bd4b2d9f27d36e75ef56e","first_computed_at":"2026-05-18T01:12:23.020712Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:23.020712Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mBK+MQtj6VdyZNRHvjB9SBRiO+eJQ8Qvkgkj9154QsJ/qeZrQ/PsS8DNzuGBeBXZ0drji83u5b0DGTNWhDEIBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:23.021121Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.3984","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e2891b4c84abb561f486c0ca31b778106fa55c85353bebed92590a4886b927cb","sha256:6cbc7eb72bdeae594837372e0c1705758ea528c9d21188c9d9b05565411a2a49"],"state_sha256":"b2d0001c9ccc8856bddc2c50cf6aaa2517c053083e23b4856b7a0d89ce2b9fc5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lav4+A6JE5Bj7jUoKSHCDGVDhRGzfir27HXzDWBVXAZjkFSbaofuyO2GZ09jXm0SnlFNqtY88ILEwjxqvWAsCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T05:19:53.140630Z","bundle_sha256":"82dc5f96f7628314f2c37df3b0f5a3b43ef799c9ea6f4dccbae09497e0adeb7a"}}