{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ATUWZBDLFIJEG72RXJOEJ2S3R6","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":"3d59418c855e01dc6fd95db8f0675f9426b5b5fe55c437793eb6f86210a4ce10","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-01-15T19:23:06Z","title_canon_sha256":"fb8cf7f53e0df5f29a823f8012f2454c82ecbd5aa91447006812a2fb637cba05"},"schema_version":"1.0","source":{"id":"1701.04102","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.04102","created_at":"2026-05-18T00:20:49Z"},{"alias_kind":"arxiv_version","alias_value":"1701.04102v2","created_at":"2026-05-18T00:20:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.04102","created_at":"2026-05-18T00:20:49Z"},{"alias_kind":"pith_short_12","alias_value":"ATUWZBDLFIJE","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"ATUWZBDLFIJEG72R","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"ATUWZBDL","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:76e67aa3c60294ef8991039cb3ee6dd21e4af57ee3b21ff5c944a58a5ac976eb","target":"graph","created_at":"2026-05-18T00:20:49Z","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":"Multi-stage stochastic linear programs (MSLPs) are notoriously hard to solve in general. Linear decision rules (LDRs) yield an approximation of an MSLP by restricting the decisions at each stage to be an affine function of the observed uncertain parameters. Finding an optimal LDR is a static optimization problem that provides an upper bound on the optimal value of the MSLP, and, under certain assumptions, can be formulated as an explicit linear program. Similarly, as proposed by Kuhn, Wiesemann, and Georghiou (Math. Program., 130, 177-209, 2011) a lower bound for an MSLP can be obtained by res","authors_text":"James Luedtke, Merve Bodur","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-01-15T19:23:06Z","title":"Two-stage Linear Decision Rules for Multi-stage Stochastic Programming"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.04102","kind":"arxiv","version":2},"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:d3e7cf0518bd018832dadfd12ff76c74c53248c93e48cf0a7c4a8105ef304b1e","target":"record","created_at":"2026-05-18T00:20:49Z","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":"3d59418c855e01dc6fd95db8f0675f9426b5b5fe55c437793eb6f86210a4ce10","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-01-15T19:23:06Z","title_canon_sha256":"fb8cf7f53e0df5f29a823f8012f2454c82ecbd5aa91447006812a2fb637cba05"},"schema_version":"1.0","source":{"id":"1701.04102","kind":"arxiv","version":2}},"canonical_sha256":"04e96c846b2a12437f51ba5c44ea5b8fa9397ffb2b068c40114b5e7a4aee1a24","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"04e96c846b2a12437f51ba5c44ea5b8fa9397ffb2b068c40114b5e7a4aee1a24","first_computed_at":"2026-05-18T00:20:49.189470Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:49.189470Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8tobOAo65d5+BvGc34QN+uchi5KcwtGaCBjcU7Gm64dVfXp/6YH6skE6fvaQ7jYwKIrf7vHNRF/rvy7hNyAIBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:49.190052Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.04102","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d3e7cf0518bd018832dadfd12ff76c74c53248c93e48cf0a7c4a8105ef304b1e","sha256:76e67aa3c60294ef8991039cb3ee6dd21e4af57ee3b21ff5c944a58a5ac976eb"],"state_sha256":"9bd0c1753ea796722d94fb7e28aa1058df1906e3373619db22de50e455dfb42f"}