{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:DUD5Q2FDETTARY4BJHJWZZPLJI","short_pith_number":"pith:DUD5Q2FD","canonical_record":{"source":{"id":"2202.03620","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2022-02-08T03:24:15Z","cross_cats_sorted":["cs.SY","eess.SY"],"title_canon_sha256":"336ddeb81eabc4645ca00ccb95b5919064c458cd6125cac7769de45b3a974c18","abstract_canon_sha256":"c2c45ed4e0349f08cc4733083533794f8ea334e6e5c6060675cdf8ff3b26bac1"},"schema_version":"1.0"},"canonical_sha256":"1d07d868a324e608e38149d36ce5eb4a2be5e692cc483e4bc658ca589920e730","source":{"kind":"arxiv","id":"2202.03620","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2202.03620","created_at":"2026-07-05T03:54:46Z"},{"alias_kind":"arxiv_version","alias_value":"2202.03620v1","created_at":"2026-07-05T03:54:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.03620","created_at":"2026-07-05T03:54:46Z"},{"alias_kind":"pith_short_12","alias_value":"DUD5Q2FDETTA","created_at":"2026-07-05T03:54:46Z"},{"alias_kind":"pith_short_16","alias_value":"DUD5Q2FDETTARY4B","created_at":"2026-07-05T03:54:46Z"},{"alias_kind":"pith_short_8","alias_value":"DUD5Q2FD","created_at":"2026-07-05T03:54:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:DUD5Q2FDETTARY4BJHJWZZPLJI","target":"record","payload":{"canonical_record":{"source":{"id":"2202.03620","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2022-02-08T03:24:15Z","cross_cats_sorted":["cs.SY","eess.SY"],"title_canon_sha256":"336ddeb81eabc4645ca00ccb95b5919064c458cd6125cac7769de45b3a974c18","abstract_canon_sha256":"c2c45ed4e0349f08cc4733083533794f8ea334e6e5c6060675cdf8ff3b26bac1"},"schema_version":"1.0"},"canonical_sha256":"1d07d868a324e608e38149d36ce5eb4a2be5e692cc483e4bc658ca589920e730","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:54:46.018086Z","signature_b64":"29iHuVXC/5RSBdEfJ2ZozzsWovx6Y+vX8e5G6JfADcw95yjNLf6JMfjTibHWWkkjzFfMbBt7M28w8o5tD305CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1d07d868a324e608e38149d36ce5eb4a2be5e692cc483e4bc658ca589920e730","last_reissued_at":"2026-07-05T03:54:46.017746Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:54:46.017746Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2202.03620","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":"2026-07-05T03:54:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XePpJMYiHSgqZhxqTbBlOtOF37xMgdUyd2RZBKFvQThyNVSL1vP1DA/qNh64iwBWqNOwwtot6q4pVwJBv9q9Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T15:03:02.827419Z"},"content_sha256":"530143d5ee37b0d7b028da4e5d4ded4e89e4858dcf1f778b2ad9eb97af34bb98","schema_version":"1.0","event_id":"sha256:530143d5ee37b0d7b028da4e5d4ded4e89e4858dcf1f778b2ad9eb97af34bb98"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:DUD5Q2FDETTARY4BJHJWZZPLJI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal Control with Learning on the Fly: System with Unknown Drift","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.SY","eess.SY"],"primary_cat":"math.OC","authors_text":"Charles L. Fefferman, Clarence W. Rowley, Daniel Gurevich, Debdipta Goswami","submitted_at":"2022-02-08T03:24:15Z","abstract_excerpt":"This paper derives an optimal control strategy for a simple stochastic dynamical system with constant drift and an additive control input. Motivated by the example of a physical system with an unexpected change in its dynamics, we take the drift parameter to be unknown, so that it must be learned while controlling the system. The state of the system is observed through a linear observation model with Gaussian noise. In contrast to most previous work, which focuses on a controller's asymptotic performance over an infinite time horizon, we minimize a quadratic cost function over a finite time ho"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.03620","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2202.03620/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":"2026-07-05T03:54:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U1j3WuxgX4J5+HY0PVVmeQjEI6rKHVMLsMQQjkrUjy8WpvzZKbCFWTfRgXB0fpVcGp2KaNZintLqfI2tIEfYDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T15:03:02.827972Z"},"content_sha256":"f8ae87fbefbb59bfc59a4c6386b7bef4b57cb8bcc5f781cc4269068f31df8fb7","schema_version":"1.0","event_id":"sha256:f8ae87fbefbb59bfc59a4c6386b7bef4b57cb8bcc5f781cc4269068f31df8fb7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DUD5Q2FDETTARY4BJHJWZZPLJI/bundle.json","state_url":"https://pith.science/pith/DUD5Q2FDETTARY4BJHJWZZPLJI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DUD5Q2FDETTARY4BJHJWZZPLJI/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":"2026-08-06T15:03:02Z","links":{"resolver":"https://pith.science/pith/DUD5Q2FDETTARY4BJHJWZZPLJI","bundle":"https://pith.science/pith/DUD5Q2FDETTARY4BJHJWZZPLJI/bundle.json","state":"https://pith.science/pith/DUD5Q2FDETTARY4BJHJWZZPLJI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DUD5Q2FDETTARY4BJHJWZZPLJI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:DUD5Q2FDETTARY4BJHJWZZPLJI","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":"c2c45ed4e0349f08cc4733083533794f8ea334e6e5c6060675cdf8ff3b26bac1","cross_cats_sorted":["cs.SY","eess.SY"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2022-02-08T03:24:15Z","title_canon_sha256":"336ddeb81eabc4645ca00ccb95b5919064c458cd6125cac7769de45b3a974c18"},"schema_version":"1.0","source":{"id":"2202.03620","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2202.03620","created_at":"2026-07-05T03:54:46Z"},{"alias_kind":"arxiv_version","alias_value":"2202.03620v1","created_at":"2026-07-05T03:54:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.03620","created_at":"2026-07-05T03:54:46Z"},{"alias_kind":"pith_short_12","alias_value":"DUD5Q2FDETTA","created_at":"2026-07-05T03:54:46Z"},{"alias_kind":"pith_short_16","alias_value":"DUD5Q2FDETTARY4B","created_at":"2026-07-05T03:54:46Z"},{"alias_kind":"pith_short_8","alias_value":"DUD5Q2FD","created_at":"2026-07-05T03:54:46Z"}],"graph_snapshots":[{"event_id":"sha256:f8ae87fbefbb59bfc59a4c6386b7bef4b57cb8bcc5f781cc4269068f31df8fb7","target":"graph","created_at":"2026-07-05T03:54:46Z","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/2202.03620/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper derives an optimal control strategy for a simple stochastic dynamical system with constant drift and an additive control input. Motivated by the example of a physical system with an unexpected change in its dynamics, we take the drift parameter to be unknown, so that it must be learned while controlling the system. The state of the system is observed through a linear observation model with Gaussian noise. In contrast to most previous work, which focuses on a controller's asymptotic performance over an infinite time horizon, we minimize a quadratic cost function over a finite time ho","authors_text":"Charles L. Fefferman, Clarence W. Rowley, Daniel Gurevich, Debdipta Goswami","cross_cats":["cs.SY","eess.SY"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2022-02-08T03:24:15Z","title":"Optimal Control with Learning on the Fly: System with Unknown Drift"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.03620","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":"sha256:530143d5ee37b0d7b028da4e5d4ded4e89e4858dcf1f778b2ad9eb97af34bb98","target":"record","created_at":"2026-07-05T03:54:46Z","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":"c2c45ed4e0349f08cc4733083533794f8ea334e6e5c6060675cdf8ff3b26bac1","cross_cats_sorted":["cs.SY","eess.SY"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2022-02-08T03:24:15Z","title_canon_sha256":"336ddeb81eabc4645ca00ccb95b5919064c458cd6125cac7769de45b3a974c18"},"schema_version":"1.0","source":{"id":"2202.03620","kind":"arxiv","version":1}},"canonical_sha256":"1d07d868a324e608e38149d36ce5eb4a2be5e692cc483e4bc658ca589920e730","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d07d868a324e608e38149d36ce5eb4a2be5e692cc483e4bc658ca589920e730","first_computed_at":"2026-07-05T03:54:46.017746Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:54:46.017746Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"29iHuVXC/5RSBdEfJ2ZozzsWovx6Y+vX8e5G6JfADcw95yjNLf6JMfjTibHWWkkjzFfMbBt7M28w8o5tD305CA==","signature_status":"signed_v1","signed_at":"2026-07-05T03:54:46.018086Z","signed_message":"canonical_sha256_bytes"},"source_id":"2202.03620","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:530143d5ee37b0d7b028da4e5d4ded4e89e4858dcf1f778b2ad9eb97af34bb98","sha256:f8ae87fbefbb59bfc59a4c6386b7bef4b57cb8bcc5f781cc4269068f31df8fb7"],"state_sha256":"e72b4a3dc4ec64947d18fadb7d1f0ee26cb40be17f2ebb5dfb6d84d37a085f70"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"llnYzB/tGNIa+EQNb88ZrpsnY2bnIX1bba2Jexd22vyy1fKHo9YUupVYWRKFTu7IJrT3hlx08YiqUyA1o45jDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T15:03:02.832547Z","bundle_sha256":"f3b3d77c9fa8e514b8d86f49523b2d067482a799c9183a9a8fc269129f29070c"}}