{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:JND6TNQVVO2Y2TNKJPPLWBV6DN","short_pith_number":"pith:JND6TNQV","canonical_record":{"source":{"id":"1402.2763","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-02-12T08:51:52Z","cross_cats_sorted":[],"title_canon_sha256":"ecd8b7655c2f5351beb77fb42fd0a3a3b78132328c70643fedcda9d771834637","abstract_canon_sha256":"1f671dd7125c4dc86671046f00c098c11b426e09154c00b65993e89817d7382a"},"schema_version":"1.0"},"canonical_sha256":"4b47e9b615abb58d4daa4bdebb06be1b544e0031c378dac28195c539d9d51a89","source":{"kind":"arxiv","id":"1402.2763","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.2763","created_at":"2026-05-18T02:59:17Z"},{"alias_kind":"arxiv_version","alias_value":"1402.2763v1","created_at":"2026-05-18T02:59:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.2763","created_at":"2026-05-18T02:59:17Z"},{"alias_kind":"pith_short_12","alias_value":"JND6TNQVVO2Y","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"JND6TNQVVO2Y2TNK","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"JND6TNQV","created_at":"2026-05-18T12:28:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:JND6TNQVVO2Y2TNKJPPLWBV6DN","target":"record","payload":{"canonical_record":{"source":{"id":"1402.2763","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-02-12T08:51:52Z","cross_cats_sorted":[],"title_canon_sha256":"ecd8b7655c2f5351beb77fb42fd0a3a3b78132328c70643fedcda9d771834637","abstract_canon_sha256":"1f671dd7125c4dc86671046f00c098c11b426e09154c00b65993e89817d7382a"},"schema_version":"1.0"},"canonical_sha256":"4b47e9b615abb58d4daa4bdebb06be1b544e0031c378dac28195c539d9d51a89","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:59:17.355702Z","signature_b64":"2gwKLRz+ZIsGWlOd9nBfkErjoHYF5Dx98qfAeTzpCnZ7hsr3ydWWhqOw3XfsE9qfv2txWLOA2b3opDsxrEVMBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4b47e9b615abb58d4daa4bdebb06be1b544e0031c378dac28195c539d9d51a89","last_reissued_at":"2026-05-18T02:59:17.354926Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:59:17.354926Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.2763","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:59:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tv+MkYcJDXZImlm4GfKQMKKjl7Xiwsb8pbcroLoYt111aCFnyvaPdXR1nmwX9bPQTodAVun03cIotACJj1K6Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T13:18:45.489054Z"},"content_sha256":"1cbcc2e6f0a605e3a13e1ff0aec98f8ab1038253d3f51709009621caadcd74a7","schema_version":"1.0","event_id":"sha256:1cbcc2e6f0a605e3a13e1ff0aec98f8ab1038253d3f51709009621caadcd74a7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:JND6TNQVVO2Y2TNKJPPLWBV6DN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Semidefinite Relaxations for Stochastic Optimal Control Policies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Joel W. Burdick, Matanya B. Horowitz","submitted_at":"2014-02-12T08:51:52Z","abstract_excerpt":"Recent results in the study of the Hamilton Jacobi Bellman (HJB) equation have led to the discovery of a formulation of the value function as a linear Partial Differential Equation (PDE) for stochastic nonlinear systems with a mild constraint on their disturbances. This has yielded promising directions for research in the planning and control of nonlinear systems. This work proposes a new method obtaining approximate solutions to these linear stochastic optimal control (SOC) problems. A candidate polynomial with variable coefficients is proposed as the solution to the SOC problem. A Sum of Squ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.2763","kind":"arxiv","version":1},"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":"2026-05-18T02:59:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zT6QOwEma1cJh9NEtjsEL3e1GdN9KOzWxvCuqn3ouY2UOjdqqaas2JRvwfErceaYOv68+lUG21XYEpHxxeFRCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T13:18:45.489435Z"},"content_sha256":"5af08a73ebdbd6d8677575138109cb5a30861f3ff9b93cedefbad3a6eca4400d","schema_version":"1.0","event_id":"sha256:5af08a73ebdbd6d8677575138109cb5a30861f3ff9b93cedefbad3a6eca4400d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JND6TNQVVO2Y2TNKJPPLWBV6DN/bundle.json","state_url":"https://pith.science/pith/JND6TNQVVO2Y2TNKJPPLWBV6DN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JND6TNQVVO2Y2TNKJPPLWBV6DN/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":"2026-05-30T13:18:45Z","links":{"resolver":"https://pith.science/pith/JND6TNQVVO2Y2TNKJPPLWBV6DN","bundle":"https://pith.science/pith/JND6TNQVVO2Y2TNKJPPLWBV6DN/bundle.json","state":"https://pith.science/pith/JND6TNQVVO2Y2TNKJPPLWBV6DN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JND6TNQVVO2Y2TNKJPPLWBV6DN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:JND6TNQVVO2Y2TNKJPPLWBV6DN","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":"1f671dd7125c4dc86671046f00c098c11b426e09154c00b65993e89817d7382a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-02-12T08:51:52Z","title_canon_sha256":"ecd8b7655c2f5351beb77fb42fd0a3a3b78132328c70643fedcda9d771834637"},"schema_version":"1.0","source":{"id":"1402.2763","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.2763","created_at":"2026-05-18T02:59:17Z"},{"alias_kind":"arxiv_version","alias_value":"1402.2763v1","created_at":"2026-05-18T02:59:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.2763","created_at":"2026-05-18T02:59:17Z"},{"alias_kind":"pith_short_12","alias_value":"JND6TNQVVO2Y","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"JND6TNQVVO2Y2TNK","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"JND6TNQV","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:5af08a73ebdbd6d8677575138109cb5a30861f3ff9b93cedefbad3a6eca4400d","target":"graph","created_at":"2026-05-18T02:59:17Z","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":"Recent results in the study of the Hamilton Jacobi Bellman (HJB) equation have led to the discovery of a formulation of the value function as a linear Partial Differential Equation (PDE) for stochastic nonlinear systems with a mild constraint on their disturbances. This has yielded promising directions for research in the planning and control of nonlinear systems. This work proposes a new method obtaining approximate solutions to these linear stochastic optimal control (SOC) problems. A candidate polynomial with variable coefficients is proposed as the solution to the SOC problem. A Sum of Squ","authors_text":"Joel W. Burdick, Matanya B. Horowitz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-02-12T08:51:52Z","title":"Semidefinite Relaxations for Stochastic Optimal Control Policies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.2763","kind":"arxiv","version":1},"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":"sha256:1cbcc2e6f0a605e3a13e1ff0aec98f8ab1038253d3f51709009621caadcd74a7","target":"record","created_at":"2026-05-18T02:59:17Z","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":"1f671dd7125c4dc86671046f00c098c11b426e09154c00b65993e89817d7382a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-02-12T08:51:52Z","title_canon_sha256":"ecd8b7655c2f5351beb77fb42fd0a3a3b78132328c70643fedcda9d771834637"},"schema_version":"1.0","source":{"id":"1402.2763","kind":"arxiv","version":1}},"canonical_sha256":"4b47e9b615abb58d4daa4bdebb06be1b544e0031c378dac28195c539d9d51a89","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4b47e9b615abb58d4daa4bdebb06be1b544e0031c378dac28195c539d9d51a89","first_computed_at":"2026-05-18T02:59:17.354926Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:59:17.354926Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2gwKLRz+ZIsGWlOd9nBfkErjoHYF5Dx98qfAeTzpCnZ7hsr3ydWWhqOw3XfsE9qfv2txWLOA2b3opDsxrEVMBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:59:17.355702Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.2763","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1cbcc2e6f0a605e3a13e1ff0aec98f8ab1038253d3f51709009621caadcd74a7","sha256:5af08a73ebdbd6d8677575138109cb5a30861f3ff9b93cedefbad3a6eca4400d"],"state_sha256":"107e45bce4bbacca95f75029cd5591aaf2b98b8c00c6a56adc4d4e1e58db28ce"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jRSCX7jTU1K4ATa3nOUfrsc9H/HOKfUF1e+ShKkWujfGPjvJJdruePmmFCO7q9SP5pjh1EsL0SdpS+5ofDAbDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T13:18:45.491409Z","bundle_sha256":"a025bc92d7d26ec6818bbd397d6a13277ab77438d0085db386fe432c30fe570e"}}