{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:GMMK2OCHCEQIRS7ZNHQ3NSZM6U","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":"5bfbca40347ae53370dae74077ed7ac40ae5a30c0eca7d2650763aec8572701f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-04-09T13:48:10Z","title_canon_sha256":"f25cf451d87148282d6559bf9db0519348831b50e1e1bdc86ba5cb8dc463369d"},"schema_version":"1.0","source":{"id":"1904.04674","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.04674","created_at":"2026-05-17T23:48:58Z"},{"alias_kind":"arxiv_version","alias_value":"1904.04674v1","created_at":"2026-05-17T23:48:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.04674","created_at":"2026-05-17T23:48:58Z"},{"alias_kind":"pith_short_12","alias_value":"GMMK2OCHCEQI","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"GMMK2OCHCEQIRS7Z","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"GMMK2OCH","created_at":"2026-05-18T12:33:18Z"}],"graph_snapshots":[{"event_id":"sha256:a13b862fe8f34f7a4b2659bb32cc974034911aaebfa4ffaaad0f9ba0d51571b6","target":"graph","created_at":"2026-05-17T23:48:58Z","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":"Peng, S. (\\cite{P08b}) proved the law of large numbers under a sublinear expectation. In this paper, we give its error estimates by Stein's method.","authors_text":"Yongsheng Song","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-04-09T13:48:10Z","title":"Stein's Method for Law of Large Numbers under Sublinear Expectations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.04674","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":"sha256:7ba410e737fc919db8774ebe34b79f5981735e4323b56a89a02d710da3bf4275","target":"record","created_at":"2026-05-17T23:48:58Z","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":"5bfbca40347ae53370dae74077ed7ac40ae5a30c0eca7d2650763aec8572701f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-04-09T13:48:10Z","title_canon_sha256":"f25cf451d87148282d6559bf9db0519348831b50e1e1bdc86ba5cb8dc463369d"},"schema_version":"1.0","source":{"id":"1904.04674","kind":"arxiv","version":1}},"canonical_sha256":"3318ad3847112088cbf969e1b6cb2cf50450b5700d83d23b33513f68974afb60","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3318ad3847112088cbf969e1b6cb2cf50450b5700d83d23b33513f68974afb60","first_computed_at":"2026-05-17T23:48:58.454246Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:58.454246Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PGxhWTh5jryKFRt9t1F3eIij7lRr4grzv1ICQ0kUZJiWDibohbPBwMKcKTZV/cwxUJGsvZ5AaxInqY9hTGycCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:58.454654Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.04674","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7ba410e737fc919db8774ebe34b79f5981735e4323b56a89a02d710da3bf4275","sha256:a13b862fe8f34f7a4b2659bb32cc974034911aaebfa4ffaaad0f9ba0d51571b6"],"state_sha256":"ce8b6b73cc5cf49b39a0fd37ccf324bf38773c1b91de9eb08b9f75812e55c7b1"}