{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:OT7ZCUDGN2OBJZIDGPBVXFU2PY","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":"279bb9a450fbb49f28724b3c493c84be2d1536fbdd863d32ea98d6eca98b6cf3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-11-19T21:15:35Z","title_canon_sha256":"d70696fcc6f976d61ca1064a4d63dd4e1b2b40448f3f0f432d2846f24fbc127d"},"schema_version":"1.0","source":{"id":"1711.07082","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.07082","created_at":"2026-05-18T00:30:12Z"},{"alias_kind":"arxiv_version","alias_value":"1711.07082v1","created_at":"2026-05-18T00:30:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.07082","created_at":"2026-05-18T00:30:12Z"},{"alias_kind":"pith_short_12","alias_value":"OT7ZCUDGN2OB","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"OT7ZCUDGN2OBJZID","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"OT7ZCUDG","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:19137b6e0747b20fa0c857ac42c38a6ab401b6f8ba4a12dd63224dce79bdbab8","target":"graph","created_at":"2026-05-18T00:30:12Z","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 paper is devoted to the generalized differential study of the normal cone mappings associated with a large class of parametric constraint systems (PCS) that appear, in particular, in nonpolyhedral conic programming. Conducting a local second-order analysis of such systems, we focus on computing the (primal-dual) graphical derivative of the normal cone mapping under the $C^2$-cone reducibility of the constraint set together with the fairly weak metric subregularity constraint qualification and its uniform parametric counterpart known as Robinson stability. The obtained precise formulas for","authors_text":"Boris S. Mordukhovich, Helmut Gfrerer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-11-19T21:15:35Z","title":"Second-Order Variational Analysis of Parametric Constraint and Variational Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.07082","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:df210d36cf5ce1b4c4987d2d0d5c200e4e572a4c01d66f0bd0838ebb693f1557","target":"record","created_at":"2026-05-18T00:30:12Z","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":"279bb9a450fbb49f28724b3c493c84be2d1536fbdd863d32ea98d6eca98b6cf3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-11-19T21:15:35Z","title_canon_sha256":"d70696fcc6f976d61ca1064a4d63dd4e1b2b40448f3f0f432d2846f24fbc127d"},"schema_version":"1.0","source":{"id":"1711.07082","kind":"arxiv","version":1}},"canonical_sha256":"74ff9150666e9c14e50333c35b969a7e2760e559f76f81985e1728ae1042f789","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"74ff9150666e9c14e50333c35b969a7e2760e559f76f81985e1728ae1042f789","first_computed_at":"2026-05-18T00:30:12.325777Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:30:12.325777Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tAZYmQHm5Jb5HqbxVhsCuHwzQAYBf0r681iTF2QBi8gEQPL2U1VgS15CPTIGpw2mIwWQFFRo+uCznVbM3Sf2CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:30:12.326504Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.07082","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df210d36cf5ce1b4c4987d2d0d5c200e4e572a4c01d66f0bd0838ebb693f1557","sha256:19137b6e0747b20fa0c857ac42c38a6ab401b6f8ba4a12dd63224dce79bdbab8"],"state_sha256":"4a930c3ea2143b82e4e337971284753b401376198dd55be803f56821240d5868"}