{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:IM2EXYGKMVAV5KXWZJ4DUDZ34Z","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":"f6bc9444e9e4388211d65c938f940743708c7b7d5548e7fde2369347a4d3b0ac","cross_cats_sorted":["math.PR","q-fin.MF"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-10-13T14:01:25Z","title_canon_sha256":"9fd0887e29a75d43e322115d0945022b5e60577160c8b0dceab64be1451c29c9"},"schema_version":"1.0","source":{"id":"1610.04085","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.04085","created_at":"2026-05-18T00:03:41Z"},{"alias_kind":"arxiv_version","alias_value":"1610.04085v6","created_at":"2026-05-18T00:03:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.04085","created_at":"2026-05-18T00:03:41Z"},{"alias_kind":"pith_short_12","alias_value":"IM2EXYGKMVAV","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"IM2EXYGKMVAV5KXW","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"IM2EXYGK","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:537ae082a917aaa8212a95b14a6d4774a4ba019e48649568c00a1f1ddaa644cb","target":"graph","created_at":"2026-05-18T00:03:41Z","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":"We provide a characterization in terms of Fatou closedness for weakly closed monotone convex sets in the space of $\\mathcal{P}$-quasisure bounded random variables, where $\\mathcal{P}$ is a (possibly non-dominated) class of probability measures. Applications of our results lie within robust versions the Fundamental Theorem of Asset Pricing or dual representation of convex risk measures.","authors_text":"Gregor Svindland, Marco Maggis, Thilo Meyer-Brandis","cross_cats":["math.PR","q-fin.MF"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-10-13T14:01:25Z","title":"The Fatou Closedness under Model Uncertainty"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.04085","kind":"arxiv","version":6},"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":"sha256:0f7fc6a7192015c93c8276a2726ae48d27e49b63488938374ca95e3eba3361e5","target":"record","created_at":"2026-05-18T00:03:41Z","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":"f6bc9444e9e4388211d65c938f940743708c7b7d5548e7fde2369347a4d3b0ac","cross_cats_sorted":["math.PR","q-fin.MF"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-10-13T14:01:25Z","title_canon_sha256":"9fd0887e29a75d43e322115d0945022b5e60577160c8b0dceab64be1451c29c9"},"schema_version":"1.0","source":{"id":"1610.04085","kind":"arxiv","version":6}},"canonical_sha256":"43344be0ca65415eaaf6ca783a0f3be673d0d91aa70c91a1295faf42fcf9743b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"43344be0ca65415eaaf6ca783a0f3be673d0d91aa70c91a1295faf42fcf9743b","first_computed_at":"2026-05-18T00:03:41.921867Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:41.921867Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xrGDhxrWj4jbTZ+3W6jlTYK2I8ItJxNvUxZ31AELdfIfzS2AzdPf4OumwyiwPDHtwpmLe17tiaZhYMmIktH8BA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:41.922293Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.04085","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f7fc6a7192015c93c8276a2726ae48d27e49b63488938374ca95e3eba3361e5","sha256:537ae082a917aaa8212a95b14a6d4774a4ba019e48649568c00a1f1ddaa644cb"],"state_sha256":"5d1835c0edb302f7f810f8c45741231f152c54a454344425a288d803a12b4fb4"}