{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:ZD7GSPRGGZTUNSZ6WZUPZHVTVJ","short_pith_number":"pith:ZD7GSPRG","canonical_record":{"source":{"id":"1804.10527","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2018-04-27T14:15:42Z","cross_cats_sorted":["stat.ME"],"title_canon_sha256":"1ff26440a3a711e3947228fb965cc1d1e821aac6019f86c82e1fedb7ef72f2a6","abstract_canon_sha256":"405474e028b2825f7775db9a1da03bdb2e5a49735b663d8aaca9fc08a2a36428"},"schema_version":"1.0"},"canonical_sha256":"c8fe693e26366746cb3eb668fc9eb3aa4755541ea294a4dcddf347fdde5f12f9","source":{"kind":"arxiv","id":"1804.10527","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.10527","created_at":"2026-05-18T00:17:20Z"},{"alias_kind":"arxiv_version","alias_value":"1804.10527v1","created_at":"2026-05-18T00:17:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.10527","created_at":"2026-05-18T00:17:20Z"},{"alias_kind":"pith_short_12","alias_value":"ZD7GSPRGGZTU","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"ZD7GSPRGGZTUNSZ6","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"ZD7GSPRG","created_at":"2026-05-18T12:33:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:ZD7GSPRGGZTUNSZ6WZUPZHVTVJ","target":"record","payload":{"canonical_record":{"source":{"id":"1804.10527","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2018-04-27T14:15:42Z","cross_cats_sorted":["stat.ME"],"title_canon_sha256":"1ff26440a3a711e3947228fb965cc1d1e821aac6019f86c82e1fedb7ef72f2a6","abstract_canon_sha256":"405474e028b2825f7775db9a1da03bdb2e5a49735b663d8aaca9fc08a2a36428"},"schema_version":"1.0"},"canonical_sha256":"c8fe693e26366746cb3eb668fc9eb3aa4755541ea294a4dcddf347fdde5f12f9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:17:20.504824Z","signature_b64":"QzP7Uaep3+/mEr7J0eG8O1c8oh0SaTdvbkwPnMQBxMwKy5m28zpvygRByZ+HVVHdbLEjGTxk2ZnBmFmbwJk8BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c8fe693e26366746cb3eb668fc9eb3aa4755541ea294a4dcddf347fdde5f12f9","last_reissued_at":"2026-05-18T00:17:20.504308Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:17:20.504308Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.10527","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:17:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bcNQV6KDT+jUzrHffO6wwWeUFXKVqpo/aaPDdmUIuWQzmZ1uBd2sCOgz959vTt5eaIK1NexS6NIRmpQoIcdFCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T11:04:56.818623Z"},"content_sha256":"bd12e2caee82c732cf25c32311387eb46f9bd44c1977aabb42469a4a24a15e31","schema_version":"1.0","event_id":"sha256:bd12e2caee82c732cf25c32311387eb46f9bd44c1977aabb42469a4a24a15e31"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:ZD7GSPRGGZTUNSZ6WZUPZHVTVJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Detecting and modeling worst-case dependence structures between random inputs of computational reliability models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ME"],"primary_cat":"stat.AP","authors_text":"Bertrand Michel (LMJL), D PRISME), EDF R, Nazih Benoumechiara (LPSM, Nicolas Bousquet (LPSM), Philippe Saint-Pierre (IMT)","submitted_at":"2018-04-27T14:15:42Z","abstract_excerpt":"Uncertain information on input parameters of reliability models is usually modeled by considering these parameters as random, and described by marginal distributions and a dependence structure of these variables. In numerous real-world applications, while information is mainly provided by marginal distributions, typically from samples , little is really known on the dependence structure itself. Faced with this problem of incomplete or missing information, risk studies are often conducted by considering independence of input variables, at the risk of including irrelevant situations. This approa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.10527","kind":"arxiv","version":1},"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":"2026-05-18T00:17:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XT/CNISJktRFjdzIkdbmrZfwun2q5XbiS7Vtt8r9g0YbyqpwysY+pqRqc2gdfxxbp4K0Bh5WDKdXhbuEORx7Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T11:04:56.818969Z"},"content_sha256":"7948a245eb9791745315ffba3839b359bd3ebec99cc7f86ed4185ad5aef5aa7b","schema_version":"1.0","event_id":"sha256:7948a245eb9791745315ffba3839b359bd3ebec99cc7f86ed4185ad5aef5aa7b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZD7GSPRGGZTUNSZ6WZUPZHVTVJ/bundle.json","state_url":"https://pith.science/pith/ZD7GSPRGGZTUNSZ6WZUPZHVTVJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZD7GSPRGGZTUNSZ6WZUPZHVTVJ/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":"2026-05-30T11:04:56Z","links":{"resolver":"https://pith.science/pith/ZD7GSPRGGZTUNSZ6WZUPZHVTVJ","bundle":"https://pith.science/pith/ZD7GSPRGGZTUNSZ6WZUPZHVTVJ/bundle.json","state":"https://pith.science/pith/ZD7GSPRGGZTUNSZ6WZUPZHVTVJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZD7GSPRGGZTUNSZ6WZUPZHVTVJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ZD7GSPRGGZTUNSZ6WZUPZHVTVJ","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":"405474e028b2825f7775db9a1da03bdb2e5a49735b663d8aaca9fc08a2a36428","cross_cats_sorted":["stat.ME"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2018-04-27T14:15:42Z","title_canon_sha256":"1ff26440a3a711e3947228fb965cc1d1e821aac6019f86c82e1fedb7ef72f2a6"},"schema_version":"1.0","source":{"id":"1804.10527","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.10527","created_at":"2026-05-18T00:17:20Z"},{"alias_kind":"arxiv_version","alias_value":"1804.10527v1","created_at":"2026-05-18T00:17:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.10527","created_at":"2026-05-18T00:17:20Z"},{"alias_kind":"pith_short_12","alias_value":"ZD7GSPRGGZTU","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"ZD7GSPRGGZTUNSZ6","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"ZD7GSPRG","created_at":"2026-05-18T12:33:04Z"}],"graph_snapshots":[{"event_id":"sha256:7948a245eb9791745315ffba3839b359bd3ebec99cc7f86ed4185ad5aef5aa7b","target":"graph","created_at":"2026-05-18T00:17:20Z","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":"Uncertain information on input parameters of reliability models is usually modeled by considering these parameters as random, and described by marginal distributions and a dependence structure of these variables. In numerous real-world applications, while information is mainly provided by marginal distributions, typically from samples , little is really known on the dependence structure itself. Faced with this problem of incomplete or missing information, risk studies are often conducted by considering independence of input variables, at the risk of including irrelevant situations. This approa","authors_text":"Bertrand Michel (LMJL), D PRISME), EDF R, Nazih Benoumechiara (LPSM, Nicolas Bousquet (LPSM), Philippe Saint-Pierre (IMT)","cross_cats":["stat.ME"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2018-04-27T14:15:42Z","title":"Detecting and modeling worst-case dependence structures between random inputs of computational reliability models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.10527","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:bd12e2caee82c732cf25c32311387eb46f9bd44c1977aabb42469a4a24a15e31","target":"record","created_at":"2026-05-18T00:17:20Z","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":"405474e028b2825f7775db9a1da03bdb2e5a49735b663d8aaca9fc08a2a36428","cross_cats_sorted":["stat.ME"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2018-04-27T14:15:42Z","title_canon_sha256":"1ff26440a3a711e3947228fb965cc1d1e821aac6019f86c82e1fedb7ef72f2a6"},"schema_version":"1.0","source":{"id":"1804.10527","kind":"arxiv","version":1}},"canonical_sha256":"c8fe693e26366746cb3eb668fc9eb3aa4755541ea294a4dcddf347fdde5f12f9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c8fe693e26366746cb3eb668fc9eb3aa4755541ea294a4dcddf347fdde5f12f9","first_computed_at":"2026-05-18T00:17:20.504308Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:17:20.504308Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QzP7Uaep3+/mEr7J0eG8O1c8oh0SaTdvbkwPnMQBxMwKy5m28zpvygRByZ+HVVHdbLEjGTxk2ZnBmFmbwJk8BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:17:20.504824Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.10527","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd12e2caee82c732cf25c32311387eb46f9bd44c1977aabb42469a4a24a15e31","sha256:7948a245eb9791745315ffba3839b359bd3ebec99cc7f86ed4185ad5aef5aa7b"],"state_sha256":"5c8b25abcc1353058ab4268e88b07985d5ca5094f190f3a6262d41f1875bf2cf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mSqALq2FBM1Tkv4dsjZA8fUwi5H4fzwm16venzdALA0x2B7QYv8uscV1lGCRuaGJmoRkyYEejUPJOqibXv8jCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T11:04:56.822133Z","bundle_sha256":"a585755a44a75bfcf5ae85dc5ccc1dbcf2ae353d405581d392e91c17acc099fe"}}