{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:OVKKF53CKZWN2F2D5T4N47WHER","short_pith_number":"pith:OVKKF53C","canonical_record":{"source":{"id":"1009.5177","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2010-09-27T07:41:59Z","cross_cats_sorted":["stat.AP"],"title_canon_sha256":"4629a4c97a2fd696318fb013814c8e169c0de449a32e8075e9ab1bee24bf8fba","abstract_canon_sha256":"360eb6ec7132f2adfa2bf37ee908db2dd71d4b5632dba64d684b525d62894749"},"schema_version":"1.0"},"canonical_sha256":"7554a2f762566cdd1743ecf8de7ec7245fe9d5e4dffb1baa45a1b590dc87ffc9","source":{"kind":"arxiv","id":"1009.5177","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.5177","created_at":"2026-05-18T03:57:12Z"},{"alias_kind":"arxiv_version","alias_value":"1009.5177v2","created_at":"2026-05-18T03:57:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.5177","created_at":"2026-05-18T03:57:12Z"},{"alias_kind":"pith_short_12","alias_value":"OVKKF53CKZWN","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"OVKKF53CKZWN2F2D","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"OVKKF53C","created_at":"2026-05-18T12:26:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:OVKKF53CKZWN2F2D5T4N47WHER","target":"record","payload":{"canonical_record":{"source":{"id":"1009.5177","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2010-09-27T07:41:59Z","cross_cats_sorted":["stat.AP"],"title_canon_sha256":"4629a4c97a2fd696318fb013814c8e169c0de449a32e8075e9ab1bee24bf8fba","abstract_canon_sha256":"360eb6ec7132f2adfa2bf37ee908db2dd71d4b5632dba64d684b525d62894749"},"schema_version":"1.0"},"canonical_sha256":"7554a2f762566cdd1743ecf8de7ec7245fe9d5e4dffb1baa45a1b590dc87ffc9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:57:12.985288Z","signature_b64":"pITE+tDa3rMjznwGKHJKjUhYyz6PRMS30xDcQCv2QZwWJxlmxUZ6gp/8ofTkXVTg0Ixw2JOYMwl8nphehtQXCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7554a2f762566cdd1743ecf8de7ec7245fe9d5e4dffb1baa45a1b590dc87ffc9","last_reissued_at":"2026-05-18T03:57:12.984540Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:57:12.984540Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1009.5177","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:57:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ED83F1gYmC9zaICb7GvgW3CqG2DCKjNCdT14oXPfM4PVC5YO7gT2W3sBgjzGosk5dFHcGVw936SHiMPhMmvwCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T17:15:37.319309Z"},"content_sha256":"bf1aa71bda0b1e44d94be114f4b3c7300fa14013dd09dc9d2510b98c48a8a24b","schema_version":"1.0","event_id":"sha256:bf1aa71bda0b1e44d94be114f4b3c7300fa14013dd09dc9d2510b98c48a8a24b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:OVKKF53CKZWN2F2D5T4N47WHER","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sequential design of computer experiments for the estimation of a probability of failure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.AP"],"primary_cat":"stat.CO","authors_text":"David Ginsbourger, Emmanuel Vazquez, Julien Bect, Ling Li, Victor Picheny","submitted_at":"2010-09-27T07:41:59Z","abstract_excerpt":"This paper deals with the problem of estimating the volume of the excursion set of a function $f:\\mathbb{R}^d \\to \\mathbb{R}$ above a given threshold, under a probability measure on $\\mathbb{R}^d$ that is assumed to be known. In the industrial world, this corresponds to the problem of estimating a probability of failure of a system. When only an expensive-to-simulate model of the system is available, the budget for simulations is usually severely limited and therefore classical Monte Carlo methods ought to be avoided. One of the main contributions of this article is to derive SUR (stepwise unc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.5177","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:57:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wlXEeaQ1HZaH4lOkXaJUB2wyJytlCkJOCgrOeFxAzo7wj6Gukii+phz/7niBt2nKmdLlNP7sJJMZ5u0vsI0zDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T17:15:37.320054Z"},"content_sha256":"96204b151fddbd951ea4a0e8b54224e792aa5b1f6446eeaff711d428d831692c","schema_version":"1.0","event_id":"sha256:96204b151fddbd951ea4a0e8b54224e792aa5b1f6446eeaff711d428d831692c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OVKKF53CKZWN2F2D5T4N47WHER/bundle.json","state_url":"https://pith.science/pith/OVKKF53CKZWN2F2D5T4N47WHER/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OVKKF53CKZWN2F2D5T4N47WHER/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-24T17:15:37Z","links":{"resolver":"https://pith.science/pith/OVKKF53CKZWN2F2D5T4N47WHER","bundle":"https://pith.science/pith/OVKKF53CKZWN2F2D5T4N47WHER/bundle.json","state":"https://pith.science/pith/OVKKF53CKZWN2F2D5T4N47WHER/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OVKKF53CKZWN2F2D5T4N47WHER/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:OVKKF53CKZWN2F2D5T4N47WHER","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":"360eb6ec7132f2adfa2bf37ee908db2dd71d4b5632dba64d684b525d62894749","cross_cats_sorted":["stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2010-09-27T07:41:59Z","title_canon_sha256":"4629a4c97a2fd696318fb013814c8e169c0de449a32e8075e9ab1bee24bf8fba"},"schema_version":"1.0","source":{"id":"1009.5177","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.5177","created_at":"2026-05-18T03:57:12Z"},{"alias_kind":"arxiv_version","alias_value":"1009.5177v2","created_at":"2026-05-18T03:57:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.5177","created_at":"2026-05-18T03:57:12Z"},{"alias_kind":"pith_short_12","alias_value":"OVKKF53CKZWN","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"OVKKF53CKZWN2F2D","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"OVKKF53C","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:96204b151fddbd951ea4a0e8b54224e792aa5b1f6446eeaff711d428d831692c","target":"graph","created_at":"2026-05-18T03:57:12Z","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":"This paper deals with the problem of estimating the volume of the excursion set of a function $f:\\mathbb{R}^d \\to \\mathbb{R}$ above a given threshold, under a probability measure on $\\mathbb{R}^d$ that is assumed to be known. In the industrial world, this corresponds to the problem of estimating a probability of failure of a system. When only an expensive-to-simulate model of the system is available, the budget for simulations is usually severely limited and therefore classical Monte Carlo methods ought to be avoided. One of the main contributions of this article is to derive SUR (stepwise unc","authors_text":"David Ginsbourger, Emmanuel Vazquez, Julien Bect, Ling Li, Victor Picheny","cross_cats":["stat.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2010-09-27T07:41:59Z","title":"Sequential design of computer experiments for the estimation of a probability of failure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.5177","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:bf1aa71bda0b1e44d94be114f4b3c7300fa14013dd09dc9d2510b98c48a8a24b","target":"record","created_at":"2026-05-18T03:57:12Z","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":"360eb6ec7132f2adfa2bf37ee908db2dd71d4b5632dba64d684b525d62894749","cross_cats_sorted":["stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2010-09-27T07:41:59Z","title_canon_sha256":"4629a4c97a2fd696318fb013814c8e169c0de449a32e8075e9ab1bee24bf8fba"},"schema_version":"1.0","source":{"id":"1009.5177","kind":"arxiv","version":2}},"canonical_sha256":"7554a2f762566cdd1743ecf8de7ec7245fe9d5e4dffb1baa45a1b590dc87ffc9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7554a2f762566cdd1743ecf8de7ec7245fe9d5e4dffb1baa45a1b590dc87ffc9","first_computed_at":"2026-05-18T03:57:12.984540Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:57:12.984540Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pITE+tDa3rMjznwGKHJKjUhYyz6PRMS30xDcQCv2QZwWJxlmxUZ6gp/8ofTkXVTg0Ixw2JOYMwl8nphehtQXCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:57:12.985288Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.5177","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf1aa71bda0b1e44d94be114f4b3c7300fa14013dd09dc9d2510b98c48a8a24b","sha256:96204b151fddbd951ea4a0e8b54224e792aa5b1f6446eeaff711d428d831692c"],"state_sha256":"afd9d8e40daf0fc2ac52f555d81f228e7514c6a928db70c80512e991ea1f1547"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h17hmq/Gzmn6LMH6XaU+YAO7C1O2FVczhqzn0Evb6Kyx88TjS/VPin/VWPea3y/9wNe6eX6l8HpDP06XARuSBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T17:15:37.323829Z","bundle_sha256":"d5a88f3850a7bfc20dc7c5d9e75c5929683d32768d124cb90e6130e86f1dcfaa"}}