{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:7TOULSV7SK5E63PN5AYHNPOZUP","short_pith_number":"pith:7TOULSV7","canonical_record":{"source":{"id":"2207.01876","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2022-07-05T08:15:33Z","cross_cats_sorted":["cs.NA","math.NA"],"title_canon_sha256":"0f335537e1d8e99f5136842a70a5ca7e81bb3603fde5f36b2c1662a399b6370d","abstract_canon_sha256":"fdead537de23fc24b042c0aa4d77dfad06523822a7eccf6ebd18c69d4de49872"},"schema_version":"1.0"},"canonical_sha256":"fcdd45cabf92ba4f6dede83076bdd9a3e8f5fe20e8c90b258975703a6f60a843","source":{"kind":"arxiv","id":"2207.01876","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.01876","created_at":"2026-07-05T11:35:47Z"},{"alias_kind":"arxiv_version","alias_value":"2207.01876v2","created_at":"2026-07-05T11:35:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.01876","created_at":"2026-07-05T11:35:47Z"},{"alias_kind":"pith_short_12","alias_value":"7TOULSV7SK5E","created_at":"2026-07-05T11:35:47Z"},{"alias_kind":"pith_short_16","alias_value":"7TOULSV7SK5E63PN","created_at":"2026-07-05T11:35:47Z"},{"alias_kind":"pith_short_8","alias_value":"7TOULSV7","created_at":"2026-07-05T11:35:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:7TOULSV7SK5E63PN5AYHNPOZUP","target":"record","payload":{"canonical_record":{"source":{"id":"2207.01876","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2022-07-05T08:15:33Z","cross_cats_sorted":["cs.NA","math.NA"],"title_canon_sha256":"0f335537e1d8e99f5136842a70a5ca7e81bb3603fde5f36b2c1662a399b6370d","abstract_canon_sha256":"fdead537de23fc24b042c0aa4d77dfad06523822a7eccf6ebd18c69d4de49872"},"schema_version":"1.0"},"canonical_sha256":"fcdd45cabf92ba4f6dede83076bdd9a3e8f5fe20e8c90b258975703a6f60a843","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:35:47.256677Z","signature_b64":"lt27l8DVpFym7vOzQ+LWa31qGHFYCmoPdF/yg+Nlv24nEzgAE6RO5yOD8BjB8Jer+8X7XRggNPk7xmULDIIuAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fcdd45cabf92ba4f6dede83076bdd9a3e8f5fe20e8c90b258975703a6f60a843","last_reissued_at":"2026-07-05T11:35:47.256274Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:35:47.256274Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2207.01876","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:35:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Np/g/jK+N/kRGJtJMlycbeLIOSUb9KTbpNp+sqWBjE9nU4ZslA1nfm+5Zp+f13aluwkEL00wG//gCWZOUZvnAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T11:45:45.600387Z"},"content_sha256":"bd426467ca3c1dda8baa67971a1c1d92a21d53883fd8137021f9e221580a49cc","schema_version":"1.0","event_id":"sha256:bd426467ca3c1dda8baa67971a1c1d92a21d53883fd8137021f9e221580a49cc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:7TOULSV7SK5E63PN5AYHNPOZUP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Global Convergence of Successive Approximations for Non-convex Stochastic Optimal Control Problems","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.NA","math.NA"],"primary_cat":"math.OC","authors_text":"Rundong Xu, Shaolin Ji","submitted_at":"2022-07-05T08:15:33Z","abstract_excerpt":"This paper focuses on finding approximate solutions to stochastic optimal control problems with control domains being not necessarily convex, where the state trajectory is subject to controlled stochastic differential equations. The control-dependent diffusions make the traditional method of successive approximations (MSA) insufficient to reduce the value of cost functional in each iteration. Without adding extra terms over which to perform the Hamiltonian minimization, the MSA becomes sufficient by our novel error estimate involving a higher order backward adjoint equation. Under certain conv"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.01876","kind":"arxiv","version":2},"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/2207.01876/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":"2026-07-05T11:35:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B1rmfpya02gCSdRAFQCeOpgfQ2nxdGG5kc02NsSYHoAx82nON2pd78Jplg2Qt58Nj4+sAECwiahy1uVdMM59BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T11:45:45.601158Z"},"content_sha256":"8987548a1ad15f1375517836ead14bbacadc406402145a259b5b2ef17ca89d95","schema_version":"1.0","event_id":"sha256:8987548a1ad15f1375517836ead14bbacadc406402145a259b5b2ef17ca89d95"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7TOULSV7SK5E63PN5AYHNPOZUP/bundle.json","state_url":"https://pith.science/pith/7TOULSV7SK5E63PN5AYHNPOZUP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7TOULSV7SK5E63PN5AYHNPOZUP/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":"2026-08-05T11:45:45Z","links":{"resolver":"https://pith.science/pith/7TOULSV7SK5E63PN5AYHNPOZUP","bundle":"https://pith.science/pith/7TOULSV7SK5E63PN5AYHNPOZUP/bundle.json","state":"https://pith.science/pith/7TOULSV7SK5E63PN5AYHNPOZUP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7TOULSV7SK5E63PN5AYHNPOZUP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:7TOULSV7SK5E63PN5AYHNPOZUP","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":"fdead537de23fc24b042c0aa4d77dfad06523822a7eccf6ebd18c69d4de49872","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2022-07-05T08:15:33Z","title_canon_sha256":"0f335537e1d8e99f5136842a70a5ca7e81bb3603fde5f36b2c1662a399b6370d"},"schema_version":"1.0","source":{"id":"2207.01876","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.01876","created_at":"2026-07-05T11:35:47Z"},{"alias_kind":"arxiv_version","alias_value":"2207.01876v2","created_at":"2026-07-05T11:35:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.01876","created_at":"2026-07-05T11:35:47Z"},{"alias_kind":"pith_short_12","alias_value":"7TOULSV7SK5E","created_at":"2026-07-05T11:35:47Z"},{"alias_kind":"pith_short_16","alias_value":"7TOULSV7SK5E63PN","created_at":"2026-07-05T11:35:47Z"},{"alias_kind":"pith_short_8","alias_value":"7TOULSV7","created_at":"2026-07-05T11:35:47Z"}],"graph_snapshots":[{"event_id":"sha256:8987548a1ad15f1375517836ead14bbacadc406402145a259b5b2ef17ca89d95","target":"graph","created_at":"2026-07-05T11:35:47Z","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/2207.01876/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper focuses on finding approximate solutions to stochastic optimal control problems with control domains being not necessarily convex, where the state trajectory is subject to controlled stochastic differential equations. The control-dependent diffusions make the traditional method of successive approximations (MSA) insufficient to reduce the value of cost functional in each iteration. Without adding extra terms over which to perform the Hamiltonian minimization, the MSA becomes sufficient by our novel error estimate involving a higher order backward adjoint equation. Under certain conv","authors_text":"Rundong Xu, Shaolin Ji","cross_cats":["cs.NA","math.NA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2022-07-05T08:15:33Z","title":"Global Convergence of Successive Approximations for Non-convex Stochastic Optimal Control Problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.01876","kind":"arxiv","version":2},"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:bd426467ca3c1dda8baa67971a1c1d92a21d53883fd8137021f9e221580a49cc","target":"record","created_at":"2026-07-05T11:35:47Z","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":"fdead537de23fc24b042c0aa4d77dfad06523822a7eccf6ebd18c69d4de49872","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2022-07-05T08:15:33Z","title_canon_sha256":"0f335537e1d8e99f5136842a70a5ca7e81bb3603fde5f36b2c1662a399b6370d"},"schema_version":"1.0","source":{"id":"2207.01876","kind":"arxiv","version":2}},"canonical_sha256":"fcdd45cabf92ba4f6dede83076bdd9a3e8f5fe20e8c90b258975703a6f60a843","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fcdd45cabf92ba4f6dede83076bdd9a3e8f5fe20e8c90b258975703a6f60a843","first_computed_at":"2026-07-05T11:35:47.256274Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:35:47.256274Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lt27l8DVpFym7vOzQ+LWa31qGHFYCmoPdF/yg+Nlv24nEzgAE6RO5yOD8BjB8Jer+8X7XRggNPk7xmULDIIuAw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:35:47.256677Z","signed_message":"canonical_sha256_bytes"},"source_id":"2207.01876","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd426467ca3c1dda8baa67971a1c1d92a21d53883fd8137021f9e221580a49cc","sha256:8987548a1ad15f1375517836ead14bbacadc406402145a259b5b2ef17ca89d95"],"state_sha256":"a16072ffa2d83fe8aa7a5de773b935ef9f95907f053f446cee66b2b07f8968a9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"goycL/F5x+5ZTCQ/jfa/vC99fNJJYiZyREGoZfiMqz2k/OK7xxL1U2RA5XwiTdrkvz7tat0m10ePzNYOIWKLCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T11:45:45.609711Z","bundle_sha256":"32e46fce2251ece70f7f5509bc5094bbd589dd9d9f3b5eecae399dce3fc4a7bc"}}