{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:YA3DXFIWVDC2AG55VI6CRYMAQF","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":"a7d04506d394c10d7547907160d6d3665a417abf21e8d00b72f9160017287587","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-03-22T07:30:32Z","title_canon_sha256":"310681e3f4d4d6554fe483ecf21291531199be163ecf7072d6cdf2b31341a24f"},"schema_version":"1.0","source":{"id":"1803.08500","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.08500","created_at":"2026-05-18T00:20:21Z"},{"alias_kind":"arxiv_version","alias_value":"1803.08500v1","created_at":"2026-05-18T00:20:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.08500","created_at":"2026-05-18T00:20:21Z"},{"alias_kind":"pith_short_12","alias_value":"YA3DXFIWVDC2","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"YA3DXFIWVDC2AG55","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"YA3DXFIW","created_at":"2026-05-18T12:33:04Z"}],"graph_snapshots":[{"event_id":"sha256:a07ee5280363e396617c2c15373d70acad1fc4c6eb56c318d616dd8eed19cc22","target":"graph","created_at":"2026-05-18T00:20:21Z","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 is a companion paper of [Mixed equilibrium solution of time-inconsistent stochastic LQ problem, arXiv:1802.03032], where general theory has been established to characterize the open-loop equilibrium control, feedback equilibrium strategy and mixed equilibrium solution for a time-inconsistent stochastic linear-quadratic problem. This note is, on the one hand to test the developed theory of that paper, and on the other hand to push the solvability of multi-period mean-variance portfolio selection. A nondegenerate assumption has been removed in this note, which is popular in existing literat","authors_text":"Ji-Feng Zhang, Miroslav Krstic, Xun Li, Yuan-Hua Ni","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-03-22T07:30:32Z","title":"Equilibrium Solutions of Multi-Period Mean-Variance Portfolio Selection"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.08500","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":"sha256:4e7c9889bcfbb5613b677d543cdbf450d412695a52f78b069c47b174232d94ab","target":"record","created_at":"2026-05-18T00:20:21Z","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":"a7d04506d394c10d7547907160d6d3665a417abf21e8d00b72f9160017287587","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-03-22T07:30:32Z","title_canon_sha256":"310681e3f4d4d6554fe483ecf21291531199be163ecf7072d6cdf2b31341a24f"},"schema_version":"1.0","source":{"id":"1803.08500","kind":"arxiv","version":1}},"canonical_sha256":"c0363b9516a8c5a01bbdaa3c28e18081733b4b14dc0362460768fea0ea97b294","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c0363b9516a8c5a01bbdaa3c28e18081733b4b14dc0362460768fea0ea97b294","first_computed_at":"2026-05-18T00:20:21.473777Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:21.473777Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KXS/kQmIWxOyH4lmI/eHfuB8whIguTxdf6VaZ2/8htOtD4E3+4tsADASd2v+Mm1rLCI0is6nEqSxWzzVcsFYCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:21.474372Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.08500","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4e7c9889bcfbb5613b677d543cdbf450d412695a52f78b069c47b174232d94ab","sha256:a07ee5280363e396617c2c15373d70acad1fc4c6eb56c318d616dd8eed19cc22"],"state_sha256":"ee5f5a0de3831bff8d79d6f33a342675aaa27619c4817d906ff3311aecad9d81"}