{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:A4RFHZZIEWE3ACX3DZ3DK2E6UZ","short_pith_number":"pith:A4RFHZZI","canonical_record":{"source":{"id":"1902.05434","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-02-14T15:29:31Z","cross_cats_sorted":[],"title_canon_sha256":"b40a1f1c17e46a7f06103a5b018509de740b84ef7d45bddb48f518e8b7114a7b","abstract_canon_sha256":"d8085404950fcab73b4b8efba5ef7692e16100284c3d060a16a1ff6bf007e4c2"},"schema_version":"1.0"},"canonical_sha256":"072253e7282589b00afb1e7635689ea65ce4e9eb08550920c0549a86b8d06f6d","source":{"kind":"arxiv","id":"1902.05434","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.05434","created_at":"2026-05-17T23:43:32Z"},{"alias_kind":"arxiv_version","alias_value":"1902.05434v2","created_at":"2026-05-17T23:43:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.05434","created_at":"2026-05-17T23:43:32Z"},{"alias_kind":"pith_short_12","alias_value":"A4RFHZZIEWE3","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"A4RFHZZIEWE3ACX3","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"A4RFHZZI","created_at":"2026-05-18T12:33:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:A4RFHZZIEWE3ACX3DZ3DK2E6UZ","target":"record","payload":{"canonical_record":{"source":{"id":"1902.05434","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-02-14T15:29:31Z","cross_cats_sorted":[],"title_canon_sha256":"b40a1f1c17e46a7f06103a5b018509de740b84ef7d45bddb48f518e8b7114a7b","abstract_canon_sha256":"d8085404950fcab73b4b8efba5ef7692e16100284c3d060a16a1ff6bf007e4c2"},"schema_version":"1.0"},"canonical_sha256":"072253e7282589b00afb1e7635689ea65ce4e9eb08550920c0549a86b8d06f6d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:43:32.826066Z","signature_b64":"OwRq/T8j9JY5q2lnSAu/SpIBxEbrXMQYvyHnMr6Tep9v0UrGqRjG269cZ/Ywj8vIQpGOiPfGpU8PEoxBurTMDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"072253e7282589b00afb1e7635689ea65ce4e9eb08550920c0549a86b8d06f6d","last_reissued_at":"2026-05-17T23:43:32.825686Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:43:32.825686Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1902.05434","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":"2026-05-17T23:43:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bcACcqfgfhbVga16V/rzz7DxU/LtlS71kbC/xouEh224S0HMrathtT/w2jhsSVMI18DBwg5zk4UshDME6/LKBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T18:05:16.972201Z"},"content_sha256":"1f3e5bfcb7613b2d7ca7d5b9ff8538668a2db905f1dc994987732198e5213ae9","schema_version":"1.0","event_id":"sha256:1f3e5bfcb7613b2d7ca7d5b9ff8538668a2db905f1dc994987732198e5213ae9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:A4RFHZZIEWE3ACX3DZ3DK2E6UZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pathwise Stochastic Control with Applications to Robust Filtering","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Andrew L. Allan, Samuel N. Cohen","submitted_at":"2019-02-14T15:29:31Z","abstract_excerpt":"We study the problem of pathwise stochastic optimal control, where the optimization is performed for each fixed realisation of the driving noise, by phrasing the problem in terms of the optimal control of rough differential equations. We investigate the degeneracy phenomenon induced by directly controlling the coefficient of the noise term, and propose a simple procedure to resolve this degeneracy whilst retaining dynamic programming. As an application, we use pathwise stochastic control in the context of stochastic filtering to construct filters which are robust to parameter uncertainty, demo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.05434","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":""},"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":"2026-05-17T23:43:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bdVfAxbpZ8nKXOO4Yx4pqIG6E5SzAd3L7vmQSDArYC82lyWJxo7Z7+fXhVpXkFb3MBs2imwEY4bDgAiggdngDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T18:05:16.972916Z"},"content_sha256":"2232fac1272cee1eefa662257354f463f3292fa9b61f4ac1da8da9996c78271f","schema_version":"1.0","event_id":"sha256:2232fac1272cee1eefa662257354f463f3292fa9b61f4ac1da8da9996c78271f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A4RFHZZIEWE3ACX3DZ3DK2E6UZ/bundle.json","state_url":"https://pith.science/pith/A4RFHZZIEWE3ACX3DZ3DK2E6UZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A4RFHZZIEWE3ACX3DZ3DK2E6UZ/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":"2026-06-06T18:05:16Z","links":{"resolver":"https://pith.science/pith/A4RFHZZIEWE3ACX3DZ3DK2E6UZ","bundle":"https://pith.science/pith/A4RFHZZIEWE3ACX3DZ3DK2E6UZ/bundle.json","state":"https://pith.science/pith/A4RFHZZIEWE3ACX3DZ3DK2E6UZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A4RFHZZIEWE3ACX3DZ3DK2E6UZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:A4RFHZZIEWE3ACX3DZ3DK2E6UZ","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":"d8085404950fcab73b4b8efba5ef7692e16100284c3d060a16a1ff6bf007e4c2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-02-14T15:29:31Z","title_canon_sha256":"b40a1f1c17e46a7f06103a5b018509de740b84ef7d45bddb48f518e8b7114a7b"},"schema_version":"1.0","source":{"id":"1902.05434","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.05434","created_at":"2026-05-17T23:43:32Z"},{"alias_kind":"arxiv_version","alias_value":"1902.05434v2","created_at":"2026-05-17T23:43:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.05434","created_at":"2026-05-17T23:43:32Z"},{"alias_kind":"pith_short_12","alias_value":"A4RFHZZIEWE3","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"A4RFHZZIEWE3ACX3","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"A4RFHZZI","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:2232fac1272cee1eefa662257354f463f3292fa9b61f4ac1da8da9996c78271f","target":"graph","created_at":"2026-05-17T23:43:32Z","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 study the problem of pathwise stochastic optimal control, where the optimization is performed for each fixed realisation of the driving noise, by phrasing the problem in terms of the optimal control of rough differential equations. We investigate the degeneracy phenomenon induced by directly controlling the coefficient of the noise term, and propose a simple procedure to resolve this degeneracy whilst retaining dynamic programming. As an application, we use pathwise stochastic control in the context of stochastic filtering to construct filters which are robust to parameter uncertainty, demo","authors_text":"Andrew L. Allan, Samuel N. Cohen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-02-14T15:29:31Z","title":"Pathwise Stochastic Control with Applications to Robust Filtering"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.05434","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":"sha256:1f3e5bfcb7613b2d7ca7d5b9ff8538668a2db905f1dc994987732198e5213ae9","target":"record","created_at":"2026-05-17T23:43:32Z","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":"d8085404950fcab73b4b8efba5ef7692e16100284c3d060a16a1ff6bf007e4c2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-02-14T15:29:31Z","title_canon_sha256":"b40a1f1c17e46a7f06103a5b018509de740b84ef7d45bddb48f518e8b7114a7b"},"schema_version":"1.0","source":{"id":"1902.05434","kind":"arxiv","version":2}},"canonical_sha256":"072253e7282589b00afb1e7635689ea65ce4e9eb08550920c0549a86b8d06f6d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"072253e7282589b00afb1e7635689ea65ce4e9eb08550920c0549a86b8d06f6d","first_computed_at":"2026-05-17T23:43:32.825686Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:43:32.825686Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OwRq/T8j9JY5q2lnSAu/SpIBxEbrXMQYvyHnMr6Tep9v0UrGqRjG269cZ/Ywj8vIQpGOiPfGpU8PEoxBurTMDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:43:32.826066Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.05434","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f3e5bfcb7613b2d7ca7d5b9ff8538668a2db905f1dc994987732198e5213ae9","sha256:2232fac1272cee1eefa662257354f463f3292fa9b61f4ac1da8da9996c78271f"],"state_sha256":"480934a4f426f8ea48d294a3b0110c1fd93d7058d74aa3543444106a6adfc3d7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v5xZN/Z/BE5e9cppHmYxPxpLg14Uc/dBsZMsGBKsJBqW2VdoYudG1MGSUx7WNUeM4gFMZpFv2SfRqZhinxmADw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T18:05:16.976359Z","bundle_sha256":"ef79deb245d632ebab25d99a17cfb76c293b36bd221f266fee19f6c9ba6bce3f"}}