{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:DBWEHRL5ZFWL3MM3RZF4AGTNOM","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":"bb94e3ca0615d8629d91ad94c026e5a0b369812349c8d2373ca275d9553028ad","cross_cats_sorted":["math.AP","math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-08-05T17:44:25Z","title_canon_sha256":"978270797c0a6e49d3bd5f1846ede6c9ea5636640d6ee155b82bb425cca909f7"},"schema_version":"1.0","source":{"id":"1908.01747","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.01747","created_at":"2026-07-04T23:51:33Z"},{"alias_kind":"arxiv_version","alias_value":"1908.01747v1","created_at":"2026-07-04T23:51:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.01747","created_at":"2026-07-04T23:51:33Z"},{"alias_kind":"pith_short_12","alias_value":"DBWEHRL5ZFWL","created_at":"2026-07-04T23:51:33Z"},{"alias_kind":"pith_short_16","alias_value":"DBWEHRL5ZFWL3MM3","created_at":"2026-07-04T23:51:33Z"},{"alias_kind":"pith_short_8","alias_value":"DBWEHRL5","created_at":"2026-07-04T23:51:33Z"}],"graph_snapshots":[{"event_id":"sha256:74d8403051901cedd173c8c79da82403f02e5393b399fd3db5ea4ae4c2e8582a","target":"graph","created_at":"2026-07-04T23:51:33Z","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/1908.01747/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider a Bolza-type optimal control problem for a dynamical system described by a fractional differential equation with the Caputo derivative of an order $\\alpha \\in (0, 1)$. The value of this problem is introduced as a functional in a suitable space of histories of motions. We prove that this functional satisfies the dynamic programming principle. Based on a new notion of coinvariant derivatives of the order $\\alpha$, we associate the considered optimal control problem with a Hamilton-Jacobi-Bellman equation. Under certain smoothness assumptions, we establish a connection between the val","authors_text":"Mikhail I. Gomoyunov","cross_cats":["math.AP","math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-08-05T17:44:25Z","title":"Dynamic programming principle and Hamilton-Jacobi-Bellman equations for fractional-order systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.01747","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:cc495227d1f52e371c49a277db34494f2b56d8bb4e6fcd82d31cfaa0d403ca10","target":"record","created_at":"2026-07-04T23:51:33Z","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":"bb94e3ca0615d8629d91ad94c026e5a0b369812349c8d2373ca275d9553028ad","cross_cats_sorted":["math.AP","math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-08-05T17:44:25Z","title_canon_sha256":"978270797c0a6e49d3bd5f1846ede6c9ea5636640d6ee155b82bb425cca909f7"},"schema_version":"1.0","source":{"id":"1908.01747","kind":"arxiv","version":1}},"canonical_sha256":"186c43c57dc96cbdb19b8e4bc01a6d7315b85cbda50f58c5d7397cc08584332d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"186c43c57dc96cbdb19b8e4bc01a6d7315b85cbda50f58c5d7397cc08584332d","first_computed_at":"2026-07-04T23:51:33.012761Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T23:51:33.012761Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bbY+XmE3X67AaAk9tjYRFiW0DmQgM1IyQJjromaOO10oIz+hoxx5EtJJKgygSMa1oq7kxflgDb1uKvdOJ2q3CQ==","signature_status":"signed_v1","signed_at":"2026-07-04T23:51:33.013170Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.01747","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc495227d1f52e371c49a277db34494f2b56d8bb4e6fcd82d31cfaa0d403ca10","sha256:74d8403051901cedd173c8c79da82403f02e5393b399fd3db5ea4ae4c2e8582a"],"state_sha256":"1052dcd29448cabf9ce5ec26afa4724fcf8234b21b7f7766d76500528f066d84"}