{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:EMDFIXXJJEBG2KNRLALDFYIVY6","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":"504c9fee24e4cb59c6fee2987e85feea1301b100c03a890f7f2b538ebcaef0c7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-07-21T04:52:09Z","title_canon_sha256":"88a6f063e953ea13e7aff8e70e74e35d3245f07cd452c4f146dbc6a20646e389"},"schema_version":"1.0","source":{"id":"1507.05708","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.05708","created_at":"2026-05-18T00:38:40Z"},{"alias_kind":"arxiv_version","alias_value":"1507.05708v1","created_at":"2026-05-18T00:38:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.05708","created_at":"2026-05-18T00:38:40Z"},{"alias_kind":"pith_short_12","alias_value":"EMDFIXXJJEBG","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"EMDFIXXJJEBG2KNR","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"EMDFIXXJ","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:27255809da45441591fc006b746afcb8a0db7a065c1812cc6c4bdb2e4490781c","target":"graph","created_at":"2026-05-18T00:38:40Z","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":"We consider in this paper a class of semi-continuous quadratic programming problems which arises in many real-world applications such as production planning, portfolio selection and subset selection in regression. We propose a lift-and-convexification approach to derive an equivalent reformulation of the original problem. This lift-and-convexification approach lifts the quadratic term involving $x$ only in the original objective function $f(x,y)$ to a quadratic function of both $x$ and $y$ and convexifies this equivalent objective function. While the continuous relaxation of our new reformulat","authors_text":"Baiyi Wu, Duan Li, Xiaojin Zheng, Xiaoling Sun","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-07-21T04:52:09Z","title":"Tight MIQP Reformulations for Semi-Continuous Quadratic Programming: Lift-and-Convexification Approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.05708","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":"sha256:5eece2a29c1b089f6f7a1c8728ba50a9faf678d910729695e27489c11970c06c","target":"record","created_at":"2026-05-18T00:38:40Z","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":"504c9fee24e4cb59c6fee2987e85feea1301b100c03a890f7f2b538ebcaef0c7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-07-21T04:52:09Z","title_canon_sha256":"88a6f063e953ea13e7aff8e70e74e35d3245f07cd452c4f146dbc6a20646e389"},"schema_version":"1.0","source":{"id":"1507.05708","kind":"arxiv","version":1}},"canonical_sha256":"2306545ee949026d29b1581632e115c783531949e7aa94eb3e9ac97a34dd9e42","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2306545ee949026d29b1581632e115c783531949e7aa94eb3e9ac97a34dd9e42","first_computed_at":"2026-05-18T00:38:40.167852Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:40.167852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zBMsf2GIQcyCFIyUBDfvtr9xDF0RvsY5Pi+L2Jh83Ygiw4g26QjShsY+Tlp/R6rHPY4ZlP4sWoHP+rSbTK2UAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:40.168492Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.05708","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5eece2a29c1b089f6f7a1c8728ba50a9faf678d910729695e27489c11970c06c","sha256:27255809da45441591fc006b746afcb8a0db7a065c1812cc6c4bdb2e4490781c"],"state_sha256":"84cf1fe32a337ee0a8e1eb6c6ff12bb07c03cb8dcf3ad28dd385012707990dfa"}