{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:DYBBFN7XKQMDVMRWPVTFYNJWDG","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":"62120bae9904f9415264e3a7a6e5ecacb2562a548adcc3603cc3400cadd5ae75","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-06-04T16:13:50Z","title_canon_sha256":"999e73a54de5bb48a500e038650f4588870382f669501122d9f7f6e97d72babf"},"schema_version":"1.0","source":{"id":"1806.01173","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.01173","created_at":"2026-05-18T00:14:17Z"},{"alias_kind":"arxiv_version","alias_value":"1806.01173v1","created_at":"2026-05-18T00:14:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.01173","created_at":"2026-05-18T00:14:17Z"},{"alias_kind":"pith_short_12","alias_value":"DYBBFN7XKQMD","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"DYBBFN7XKQMDVMRW","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"DYBBFN7X","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:81292cd60456af0d83c6a36b83cd8dc6bd0e2eb7bfa327d215527682418d243a","target":"graph","created_at":"2026-05-18T00:14:17Z","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":"The MaxCut SDP is one of the most well-known semidefinite programs, and it has many favorable properties. One of its nicest geometric/duality properties is the fact that the vertices of its feasible region correspond exactly to the cuts of a graph, as proved by Laurent and Poljak in 1995. Recall that a boundary point $x$ of a convex set $C$ is called a vertex of $C$ if the normal cone of $C$ at $x$ is full-dimensional.\n  We study how often strict complementarity holds or fails for the MaxCut SDP when a vertex of the feasible region is optimal, i.e., when the SDP relaxation is tight. While stri","authors_text":"Levent Tun\\c{c}el, Marcel K. de Carli Silva","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-06-04T16:13:50Z","title":"Strict Complementarity in MaxCut SDP"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.01173","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":"sha256:873025ecb4dcf110fdf3565e6cfdb36cc58c9db433aeba1b142b6947a5e5e6d1","target":"record","created_at":"2026-05-18T00:14:17Z","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":"62120bae9904f9415264e3a7a6e5ecacb2562a548adcc3603cc3400cadd5ae75","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-06-04T16:13:50Z","title_canon_sha256":"999e73a54de5bb48a500e038650f4588870382f669501122d9f7f6e97d72babf"},"schema_version":"1.0","source":{"id":"1806.01173","kind":"arxiv","version":1}},"canonical_sha256":"1e0212b7f754183ab2367d665c35361994b787d90d74fbdff008306699bff559","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1e0212b7f754183ab2367d665c35361994b787d90d74fbdff008306699bff559","first_computed_at":"2026-05-18T00:14:17.222129Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:17.222129Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cU8jLdbHYMx4zM0kOoLDR1CwXbaW6OCm9FxyAwXLvyATb/WaVCBLiKA4Jqo1jkhjXUUrPNVDBk+ZleHcsp9aCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:17.222640Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.01173","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:873025ecb4dcf110fdf3565e6cfdb36cc58c9db433aeba1b142b6947a5e5e6d1","sha256:81292cd60456af0d83c6a36b83cd8dc6bd0e2eb7bfa327d215527682418d243a"],"state_sha256":"313bd03890476e1527747731de8e3743d65deb3d0d333be2de738c97d70dd3d7"}