{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:VWY247QTTYIGZAFRPAZSO2MFYX","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":"4f4cfcb904bc778818943852924299ab140d0faf4e36408e921ec314da34772d","cross_cats_sorted":["math.DS","stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2011-11-17T17:20:29Z","title_canon_sha256":"2641bb78e123c0996f8f7ee9d31dd4089056bbfa82b442289dd004cf04267d54"},"schema_version":"1.0","source":{"id":"1111.4157","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.4157","created_at":"2026-05-18T02:21:29Z"},{"alias_kind":"arxiv_version","alias_value":"1111.4157v2","created_at":"2026-05-18T02:21:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.4157","created_at":"2026-05-18T02:21:29Z"},{"alias_kind":"pith_short_12","alias_value":"VWY247QTTYIG","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"VWY247QTTYIGZAFR","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"VWY247QT","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:34f8a78044b29e08ab542b56c02e53056f20d08f81b30e2d3582a1c62b9f652b","target":"graph","created_at":"2026-05-18T02:21:29Z","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":"Uncertainty quantification (UQ) techniques are frequently used to ascertain output variability in systems with parametric uncertainty. Traditional algorithms for UQ are either system-agnostic and slow (such as Monte Carlo) or fast with stringent assumptions on smoothness (such as polynomial chaos and Quasi-Monte Carlo). In this work, we develop a fast UQ approach for hybrid dynamical systems by extending the polynomial chaos methodology to these systems. To capture discontinuities, we use a wavelet-based Wiener-Haar expansion. We develop a boundary layer approach to propagate uncertainty throu","authors_text":"Jose Miguel Pasini, Tuhin Sahai","cross_cats":["math.DS","stat.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2011-11-17T17:20:29Z","title":"Uncertainty Quantification in Hybrid Dynamical Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.4157","kind":"arxiv","version":2},"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:db4ab7b51f67f5bc94094272f2aca0fbc73aa82ade911453da6ecf69ea2b19fd","target":"record","created_at":"2026-05-18T02:21:29Z","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":"4f4cfcb904bc778818943852924299ab140d0faf4e36408e921ec314da34772d","cross_cats_sorted":["math.DS","stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2011-11-17T17:20:29Z","title_canon_sha256":"2641bb78e123c0996f8f7ee9d31dd4089056bbfa82b442289dd004cf04267d54"},"schema_version":"1.0","source":{"id":"1111.4157","kind":"arxiv","version":2}},"canonical_sha256":"adb1ae7e139e106c80b17833276985c5d512fca83aa351cecc1979d5431ee280","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"adb1ae7e139e106c80b17833276985c5d512fca83aa351cecc1979d5431ee280","first_computed_at":"2026-05-18T02:21:29.071394Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:21:29.071394Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z9zESCXAKWaAdezZMLPVNYZUDnN0/mQAjipGy9K30xYc8P4TKxDC0CWpBEaS9qNMHvIZaTXhGxrB1xc2N8y1DA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:21:29.072130Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.4157","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:db4ab7b51f67f5bc94094272f2aca0fbc73aa82ade911453da6ecf69ea2b19fd","sha256:34f8a78044b29e08ab542b56c02e53056f20d08f81b30e2d3582a1c62b9f652b"],"state_sha256":"e3f435a0e0c69a060c6f3658b4dfda7a1d5acd8bca957403f1ba546963e257d2"}