{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:TN4AUVWMUOBFKA5NYKB3ZHO45G","short_pith_number":"pith:TN4AUVWM","canonical_record":{"source":{"id":"1609.04977","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-09-16T10:05:44Z","cross_cats_sorted":[],"title_canon_sha256":"6b18f2e5a9f368ba717c5e8eb1e2b953ec7daa2af2dcf00df8f358fbfbf2931d","abstract_canon_sha256":"4b76a8e4261db2780a96c5d131a824392cf6ba1baf2fd16bafb8a086345cdcc8"},"schema_version":"1.0"},"canonical_sha256":"9b780a56cca3825503adc283bc9ddce98f6716e200e38291f74a2757d6a8596c","source":{"kind":"arxiv","id":"1609.04977","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.04977","created_at":"2026-05-18T01:04:31Z"},{"alias_kind":"arxiv_version","alias_value":"1609.04977v1","created_at":"2026-05-18T01:04:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.04977","created_at":"2026-05-18T01:04:31Z"},{"alias_kind":"pith_short_12","alias_value":"TN4AUVWMUOBF","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"TN4AUVWMUOBFKA5N","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"TN4AUVWM","created_at":"2026-05-18T12:30:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:TN4AUVWMUOBFKA5NYKB3ZHO45G","target":"record","payload":{"canonical_record":{"source":{"id":"1609.04977","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-09-16T10:05:44Z","cross_cats_sorted":[],"title_canon_sha256":"6b18f2e5a9f368ba717c5e8eb1e2b953ec7daa2af2dcf00df8f358fbfbf2931d","abstract_canon_sha256":"4b76a8e4261db2780a96c5d131a824392cf6ba1baf2fd16bafb8a086345cdcc8"},"schema_version":"1.0"},"canonical_sha256":"9b780a56cca3825503adc283bc9ddce98f6716e200e38291f74a2757d6a8596c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:31.915339Z","signature_b64":"SYbTkDDvY9a22aONKC9upJi2KBDL9uodVF1hYUArrX6oGzl4QTSqsvJUIV39UVlOcYTtu+UIuWAspcBaXE0KDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9b780a56cca3825503adc283bc9ddce98f6716e200e38291f74a2757d6a8596c","last_reissued_at":"2026-05-18T01:04:31.914650Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:31.914650Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.04977","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":"2026-05-18T01:04:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t9PSiBe5HyMQgB1NScxA9KrZg1Juij3TsMUuPq2qiDEypvcE6U6xX9AeBau94YRG2isej6c/QgsZyKjxUw2aDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T21:02:04.841955Z"},"content_sha256":"34fbe8f93d64d4a4c842eaf7cade8f08b3687de85b9b7ca63599b63133d16c27","schema_version":"1.0","event_id":"sha256:34fbe8f93d64d4a4c842eaf7cade8f08b3687de85b9b7ca63599b63133d16c27"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:TN4AUVWMUOBFKA5NYKB3ZHO45G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Linear-quadratic optimal control under non-Markovian switching","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Fulvia Confortola, Gianmario Tessitore, Giuseppina Guatteri, Marco Fuhrman","submitted_at":"2016-09-16T10:05:44Z","abstract_excerpt":"We study a finite-dimensional continuous-time optimal control problem on finite horizon for a controlled diffusion driven by Brownian motion, in the linear-quadratic case. We admit stochastic coefficients, possibly depending on an underlying independent marked point process, so that our model is general enough to include controlled switching systems where the switching mechanism is not required to be Markovian. The problem is solved by means of a Riccati equation, which a backward stochastic differential equation driven by the Bronwian motion and by the random measure associated to the marked "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.04977","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":"2026-05-18T01:04:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Rfofpj2cC1aTa6VJ+7E0h8SyPgCJ9DbSWqU6tiOOxNCIRSfGwJHBLecTOASNFfafHa8a+UmK3W9jbmwzXHtsCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T21:02:04.842310Z"},"content_sha256":"3958e62b3de45c0ae549078a3fa7c943b4117c604258849f22adb7689bd97e4f","schema_version":"1.0","event_id":"sha256:3958e62b3de45c0ae549078a3fa7c943b4117c604258849f22adb7689bd97e4f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TN4AUVWMUOBFKA5NYKB3ZHO45G/bundle.json","state_url":"https://pith.science/pith/TN4AUVWMUOBFKA5NYKB3ZHO45G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TN4AUVWMUOBFKA5NYKB3ZHO45G/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":"2026-05-29T21:02:04Z","links":{"resolver":"https://pith.science/pith/TN4AUVWMUOBFKA5NYKB3ZHO45G","bundle":"https://pith.science/pith/TN4AUVWMUOBFKA5NYKB3ZHO45G/bundle.json","state":"https://pith.science/pith/TN4AUVWMUOBFKA5NYKB3ZHO45G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TN4AUVWMUOBFKA5NYKB3ZHO45G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:TN4AUVWMUOBFKA5NYKB3ZHO45G","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":"4b76a8e4261db2780a96c5d131a824392cf6ba1baf2fd16bafb8a086345cdcc8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-09-16T10:05:44Z","title_canon_sha256":"6b18f2e5a9f368ba717c5e8eb1e2b953ec7daa2af2dcf00df8f358fbfbf2931d"},"schema_version":"1.0","source":{"id":"1609.04977","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.04977","created_at":"2026-05-18T01:04:31Z"},{"alias_kind":"arxiv_version","alias_value":"1609.04977v1","created_at":"2026-05-18T01:04:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.04977","created_at":"2026-05-18T01:04:31Z"},{"alias_kind":"pith_short_12","alias_value":"TN4AUVWMUOBF","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"TN4AUVWMUOBFKA5N","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"TN4AUVWM","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:3958e62b3de45c0ae549078a3fa7c943b4117c604258849f22adb7689bd97e4f","target":"graph","created_at":"2026-05-18T01:04:31Z","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 a finite-dimensional continuous-time optimal control problem on finite horizon for a controlled diffusion driven by Brownian motion, in the linear-quadratic case. We admit stochastic coefficients, possibly depending on an underlying independent marked point process, so that our model is general enough to include controlled switching systems where the switching mechanism is not required to be Markovian. The problem is solved by means of a Riccati equation, which a backward stochastic differential equation driven by the Bronwian motion and by the random measure associated to the marked ","authors_text":"Fulvia Confortola, Gianmario Tessitore, Giuseppina Guatteri, Marco Fuhrman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-09-16T10:05:44Z","title":"Linear-quadratic optimal control under non-Markovian switching"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.04977","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":"sha256:34fbe8f93d64d4a4c842eaf7cade8f08b3687de85b9b7ca63599b63133d16c27","target":"record","created_at":"2026-05-18T01:04:31Z","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":"4b76a8e4261db2780a96c5d131a824392cf6ba1baf2fd16bafb8a086345cdcc8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-09-16T10:05:44Z","title_canon_sha256":"6b18f2e5a9f368ba717c5e8eb1e2b953ec7daa2af2dcf00df8f358fbfbf2931d"},"schema_version":"1.0","source":{"id":"1609.04977","kind":"arxiv","version":1}},"canonical_sha256":"9b780a56cca3825503adc283bc9ddce98f6716e200e38291f74a2757d6a8596c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9b780a56cca3825503adc283bc9ddce98f6716e200e38291f74a2757d6a8596c","first_computed_at":"2026-05-18T01:04:31.914650Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:04:31.914650Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SYbTkDDvY9a22aONKC9upJi2KBDL9uodVF1hYUArrX6oGzl4QTSqsvJUIV39UVlOcYTtu+UIuWAspcBaXE0KDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:04:31.915339Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.04977","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:34fbe8f93d64d4a4c842eaf7cade8f08b3687de85b9b7ca63599b63133d16c27","sha256:3958e62b3de45c0ae549078a3fa7c943b4117c604258849f22adb7689bd97e4f"],"state_sha256":"25bd0441e8f181a63fa41fb8fd594f25ec39cd3b436ea19af54f4726c843839f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rpkPe6noSojwYyuObUrhx2KcI70ElIp1Mzgb/VJ4CwxNkpyHRDUHDndXx2Yy9Ag3CpmzsKt/bzFhLH4+2bvTAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T21:02:04.844430Z","bundle_sha256":"0e0750ecc39e8da618f785c4b8609be56b2a77e26d00d36c6b3c299b4a9a5f0b"}}