{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:E4BQIDHJM23VZRNX3SFTRLRVEF","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":"b8ca099f7712a96d2ba628126c26e91e05877f6be583f9a2857e75ee92d9317b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2021-12-10T14:39:06Z","title_canon_sha256":"1cec4af43e4bc6c6de662f5a26e9b8da14d4b84de8d0b8b3d7a8c4609da03e7f"},"schema_version":"1.0","source":{"id":"2112.05571","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.05571","created_at":"2026-07-05T03:39:49Z"},{"alias_kind":"arxiv_version","alias_value":"2112.05571v1","created_at":"2026-07-05T03:39:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.05571","created_at":"2026-07-05T03:39:49Z"},{"alias_kind":"pith_short_12","alias_value":"E4BQIDHJM23V","created_at":"2026-07-05T03:39:49Z"},{"alias_kind":"pith_short_16","alias_value":"E4BQIDHJM23VZRNX","created_at":"2026-07-05T03:39:49Z"},{"alias_kind":"pith_short_8","alias_value":"E4BQIDHJ","created_at":"2026-07-05T03:39:49Z"}],"graph_snapshots":[{"event_id":"sha256:496711ac4c7a2400c208d9e01db8a83fce4c685a80f9bf253929edb4472c7f6e","target":"graph","created_at":"2026-07-05T03:39:49Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2112.05571/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper conducts sensitivity analysis of random constraint and variational systems related to stochastic optimization and variational inequalities. We establish efficient conditions for well-posedness, in the sense of robust Lipschitzian stability and/or metric regularity, of such systems by employing and developing coderivative characterizations of well-posedness properties for random multifunctions and efficiently evaluating coderivatives of special classes of random integral set-valued mappings that naturally emerge in stochastic programming and stochastic variational inequalities.","authors_text":"Boris S. Mordukhovich, Pedro P\\'erez-Aros","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2021-12-10T14:39:06Z","title":"Sensitivity Analysis of Stochastic Constraint and Variational Systems via Generalized Differentiation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.05571","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:a5bb52110bf0d70d3a5ffd9abe0ea180d5c71d1cd020212a7d62056701420910","target":"record","created_at":"2026-07-05T03:39:49Z","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":"b8ca099f7712a96d2ba628126c26e91e05877f6be583f9a2857e75ee92d9317b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2021-12-10T14:39:06Z","title_canon_sha256":"1cec4af43e4bc6c6de662f5a26e9b8da14d4b84de8d0b8b3d7a8c4609da03e7f"},"schema_version":"1.0","source":{"id":"2112.05571","kind":"arxiv","version":1}},"canonical_sha256":"2703040ce966b75cc5b7dc8b38ae35216886a4459a054ab1c0b22c3f0428b52b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2703040ce966b75cc5b7dc8b38ae35216886a4459a054ab1c0b22c3f0428b52b","first_computed_at":"2026-07-05T03:39:49.769374Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:39:49.769374Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oisejlQETqBqWGuKqexVtDf768b7jqxme3aQYSG2yCUvxObQxCjKg2UjRbPQh9roFjQgve/2EH78FyCe8Ee/Dw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:39:49.769769Z","signed_message":"canonical_sha256_bytes"},"source_id":"2112.05571","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a5bb52110bf0d70d3a5ffd9abe0ea180d5c71d1cd020212a7d62056701420910","sha256:496711ac4c7a2400c208d9e01db8a83fce4c685a80f9bf253929edb4472c7f6e"],"state_sha256":"c3795948f925b5763d57bfb0d61e229985ef64171a00117f03e7f58c66054862"}