{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ZG6L4JHUE6ZSJNXLX27BXIXNC6","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":"1381341249069ecc3c340274bf6b2c0478ad1c9bc55a30ebe83386b4f7e5206c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-03-06T16:04:21Z","title_canon_sha256":"a0cbc0ef2c14b6a2d6c19152bc9a620012c467a6e0c7db970aba9b98487ddb3d"},"schema_version":"1.0","source":{"id":"1703.01942","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.01942","created_at":"2026-05-18T00:49:29Z"},{"alias_kind":"arxiv_version","alias_value":"1703.01942v1","created_at":"2026-05-18T00:49:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.01942","created_at":"2026-05-18T00:49:29Z"},{"alias_kind":"pith_short_12","alias_value":"ZG6L4JHUE6ZS","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZG6L4JHUE6ZSJNXL","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZG6L4JHU","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:934f305bb0a76e5c634b9b622cb2142e34c26e1e244d622bddc056e3f4a57f8e","target":"graph","created_at":"2026-05-18T00:49:29Z","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":"In this paper, we investigate a class of time-inconsistent discrete-time stochastic linear-quadratic optimal control problems, whose time-consistent solutions consist of an open-loop equilibrium control and a linear feedback equilibrium strategy. The open-loop equilibrium control is defined for a given initial pair, while the linear feedback equilibrium strategy is defined for all the initial pairs. Maximum-principle-type necessary and sufficient conditions containing stationary and convexity are derived for the existence of these two time-consistent solutions, respectively. Furthermore, for t","authors_text":"Ji-Feng Zhang, Xun Li, Yuan-Hua Ni","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-03-06T16:04:21Z","title":"On Time-Consistent Solution to Time-Inconsistent Linear-Quadratic Optimal Control of Discrete-Time Stochastic Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.01942","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:ff1f1f369031e0f9e0f924bd307d3f797a826df2c5ff5c8d7d87767364ae236a","target":"record","created_at":"2026-05-18T00:49:29Z","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":"1381341249069ecc3c340274bf6b2c0478ad1c9bc55a30ebe83386b4f7e5206c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-03-06T16:04:21Z","title_canon_sha256":"a0cbc0ef2c14b6a2d6c19152bc9a620012c467a6e0c7db970aba9b98487ddb3d"},"schema_version":"1.0","source":{"id":"1703.01942","kind":"arxiv","version":1}},"canonical_sha256":"c9bcbe24f427b324b6ebbebe1ba2ed178083916730aac068767ffbb72d03bfe6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c9bcbe24f427b324b6ebbebe1ba2ed178083916730aac068767ffbb72d03bfe6","first_computed_at":"2026-05-18T00:49:29.192613Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:29.192613Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MiXtDb4InG09ecDrnPZgRxoBjF5SZLajis7wVYo/K5x6D3FEhbnt3mxdexSv7dB1Fy4tsFwA9n3dx9BClZbaAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:29.193297Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.01942","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ff1f1f369031e0f9e0f924bd307d3f797a826df2c5ff5c8d7d87767364ae236a","sha256:934f305bb0a76e5c634b9b622cb2142e34c26e1e244d622bddc056e3f4a57f8e"],"state_sha256":"0836981fe398a6373ea8a47b5f065a2a10a4f704eaba2edcae2e7f080d21ebb7"}