{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:FKH6BNLRJXHT7NLL6W3KIMCXRS","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":"be947a60f549e7b6c049b746b4112000a1b2cf50f8a0f0e71a9192888e8eb7d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-08-15T18:03:07Z","title_canon_sha256":"fcbc54942f1dbc5d226317fc57ccbd849db9bd2ded1e1e43260415f9c89275c7"},"schema_version":"1.0","source":{"id":"1908.05689","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.05689","created_at":"2026-07-04T23:57:52Z"},{"alias_kind":"arxiv_version","alias_value":"1908.05689v1","created_at":"2026-07-04T23:57:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.05689","created_at":"2026-07-04T23:57:52Z"},{"alias_kind":"pith_short_12","alias_value":"FKH6BNLRJXHT","created_at":"2026-07-04T23:57:52Z"},{"alias_kind":"pith_short_16","alias_value":"FKH6BNLRJXHT7NLL","created_at":"2026-07-04T23:57:52Z"},{"alias_kind":"pith_short_8","alias_value":"FKH6BNLR","created_at":"2026-07-04T23:57:52Z"}],"graph_snapshots":[{"event_id":"sha256:4927cba006b45e629934cba6289fbc5469b313771b610988ed5da2d7396c287b","target":"graph","created_at":"2026-07-04T23:57:52Z","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/1908.05689/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper studies stochastic optimization problems with polynomials. We propose an optimization model with sample averages and perturbations. The Lasserre type Moment-SOS relaxations are used to solve the sample average optimization. Properties of the optimization and its relaxations are studied. Numerical experiments are presented.","authors_text":"Jiawang Nie, Liu Yang, Suhan Zhong","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-08-15T18:03:07Z","title":"Stochastic Polynomial Optimization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.05689","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":"sha256:07b0e95e19126fcdb2e6ad9b9badbf696a4430b75bb7fb816164f20345851358","target":"record","created_at":"2026-07-04T23:57:52Z","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":"be947a60f549e7b6c049b746b4112000a1b2cf50f8a0f0e71a9192888e8eb7d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-08-15T18:03:07Z","title_canon_sha256":"fcbc54942f1dbc5d226317fc57ccbd849db9bd2ded1e1e43260415f9c89275c7"},"schema_version":"1.0","source":{"id":"1908.05689","kind":"arxiv","version":1}},"canonical_sha256":"2a8fe0b5714dcf3fb56bf5b6a430578cb19251699c36c1f7eca26ea589e42469","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2a8fe0b5714dcf3fb56bf5b6a430578cb19251699c36c1f7eca26ea589e42469","first_computed_at":"2026-07-04T23:57:52.408796Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T23:57:52.408796Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CnfdzvOushejBzNhNQomDtWMvh5zRd93zHaxOS+vpJRj10jDQ1ZMZNjzfKeQVX2BonHrfOzI6dq9SXyyJIS6Cw==","signature_status":"signed_v1","signed_at":"2026-07-04T23:57:52.409170Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.05689","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:07b0e95e19126fcdb2e6ad9b9badbf696a4430b75bb7fb816164f20345851358","sha256:4927cba006b45e629934cba6289fbc5469b313771b610988ed5da2d7396c287b"],"state_sha256":"49a7d0ba810af30090474aa66e357e3c2b64f4c4994cf09dae00f27a18924cf4"}