{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:UQBVGIESWFDHF7PZFJXON4NZUD","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":"7381d80f5c2900f917a3f1936df188d742fb9f367454c8a7bcd261d6933a4116","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-10-03T11:48:08Z","title_canon_sha256":"589236fbde5cbc15dc81f2d5214f0e30a9d61016eeefe38aea5e13a4be0bfc63"},"schema_version":"1.0","source":{"id":"1210.1074","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.1074","created_at":"2026-05-18T02:56:52Z"},{"alias_kind":"arxiv_version","alias_value":"1210.1074v3","created_at":"2026-05-18T02:56:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.1074","created_at":"2026-05-18T02:56:52Z"},{"alias_kind":"pith_short_12","alias_value":"UQBVGIESWFDH","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"UQBVGIESWFDHF7PZ","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"UQBVGIES","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:f6d4d91e43bc81c0e3bcffdf2db63f6526b4515f1c2de4cb09dd572b6199619f","target":"graph","created_at":"2026-05-18T02:56:52Z","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"},"paper":{"abstract_excerpt":"Sensitivity analysis of a numerical model, for instance simulating physical phenomena, is useful to quantify the influence of the inputs on the model responses. This paper proposes a new sensitivity index, based upon the modification of the probability density function (pdf) of the random inputs, when the quantity of interest is a failure probability (probability that a model output exceeds a given threshold). An input is considered influential if the input pdf modification leads to a broad change in the failure probability. These sensitivity indices can be computed using the sole set of simul","authors_text":"Aur\\'elie Arnaud (EDF R&D), Bertrand Iooss (EDF R&D, Ekatarina Sergienko (IFPEN, Fabrice Gamboa (IMT), IMT), INRIA Bordeaux - Sud-Ouest), Nicolas Bousquet (EDF R&D), Paul Lema\\^itre (EDF R&D","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-10-03T11:48:08Z","title":"Density modification based reliability sensitivity analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.1074","kind":"arxiv","version":3},"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:ac24ba2db356e13991dc638473b15a50d5f9e2130a1034f9106390b99ea3b40e","target":"record","created_at":"2026-05-18T02:56:52Z","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":"7381d80f5c2900f917a3f1936df188d742fb9f367454c8a7bcd261d6933a4116","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-10-03T11:48:08Z","title_canon_sha256":"589236fbde5cbc15dc81f2d5214f0e30a9d61016eeefe38aea5e13a4be0bfc63"},"schema_version":"1.0","source":{"id":"1210.1074","kind":"arxiv","version":3}},"canonical_sha256":"a403532092b14672fdf92a6ee6f1b9a0de7cd43dbbfa393722470849de08ee28","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a403532092b14672fdf92a6ee6f1b9a0de7cd43dbbfa393722470849de08ee28","first_computed_at":"2026-05-18T02:56:52.216401Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:56:52.216401Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8KPQITa+JBtYcfv/YuaogxbFZk6TNxC+uQ2bTcuV3+i+ikRq2lIEUnH+7q62Yrx4ySljVCbR5mkCDNZLf7GnDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:56:52.216902Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.1074","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ac24ba2db356e13991dc638473b15a50d5f9e2130a1034f9106390b99ea3b40e","sha256:f6d4d91e43bc81c0e3bcffdf2db63f6526b4515f1c2de4cb09dd572b6199619f"],"state_sha256":"198d9f347ec580b8cf0220a002c19660a18f533aac6881c942070f8259a15693"}