{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:KD5THICAFJGNEGXTFRVU3JLPKG","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":"8a507c1669e33762e0a6e351faab74cc73b7b76d3c37236c297d87ed8084ee50","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-02-02T22:35:57Z","title_canon_sha256":"2e6235dbac9ff34aabd5427413612e9cb1ed2c0943380689d4d98ba6079d82be"},"schema_version":"1.0","source":{"id":"1702.00857","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.00857","created_at":"2026-05-18T00:51:29Z"},{"alias_kind":"arxiv_version","alias_value":"1702.00857v1","created_at":"2026-05-18T00:51:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.00857","created_at":"2026-05-18T00:51:29Z"},{"alias_kind":"pith_short_12","alias_value":"KD5THICAFJGN","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"KD5THICAFJGNEGXT","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"KD5THICA","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:ad3b3dd0660976d0737d7b3a73c08ee589becc81e274388564237e90c79e4c4f","target":"graph","created_at":"2026-05-18T00:51:29Z","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":"This paper is devoted to a study of infinite horizon optimal control problems with time discounting and time averaging criteria in discrete time. We establish that these problems are related to certain infinite-dimensional linear programming (IDLP) problems. We also establish asymptotic relationships between the optimal values of problems with time discounting and long-run average criteria.","authors_text":"Alex Parkinson, I. Shvartsman, Vladimir Gaitsgory","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-02-02T22:35:57Z","title":"Linear Programming Formulations of Deterministic Infinite Horizon Optimal Control Problems in Discrete Time"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.00857","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:c331b7303197b78bd90c0325d4e20fd416e2859e90c8f3faf6a845daf597d670","target":"record","created_at":"2026-05-18T00:51:29Z","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":"8a507c1669e33762e0a6e351faab74cc73b7b76d3c37236c297d87ed8084ee50","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-02-02T22:35:57Z","title_canon_sha256":"2e6235dbac9ff34aabd5427413612e9cb1ed2c0943380689d4d98ba6079d82be"},"schema_version":"1.0","source":{"id":"1702.00857","kind":"arxiv","version":1}},"canonical_sha256":"50fb33a0402a4cd21af32c6b4da56f51bdf82a988175372eaeb80a18667f2d9d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"50fb33a0402a4cd21af32c6b4da56f51bdf82a988175372eaeb80a18667f2d9d","first_computed_at":"2026-05-18T00:51:29.576192Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:29.576192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IWLQp/7jTrmU0O1bHnxq86nJlPGZFqEEwzDarelpbf6T9Xg2vQ70ZEhZaAbqgFpk7fR+tnTM42cyxjghJWbCBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:29.576637Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.00857","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c331b7303197b78bd90c0325d4e20fd416e2859e90c8f3faf6a845daf597d670","sha256:ad3b3dd0660976d0737d7b3a73c08ee589becc81e274388564237e90c79e4c4f"],"state_sha256":"607834a3076463830ee4ed74ac95b21a3ab836e4d600f6c26a3f31e976a9d789"}