{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:CKYZWRX5KOLAAYKZSGDHASWSOS","short_pith_number":"pith:CKYZWRX5","canonical_record":{"source":{"id":"1801.03300","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-01-10T10:47:36Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"b3022619eaefd795533e324a6477dc5fbcb067be988b9c14a088f9a8751aa2aa","abstract_canon_sha256":"718ba4fc3e6b54703101a1a6f50673bab0d6456402b1326052dc3048c3d91c51"},"schema_version":"1.0"},"canonical_sha256":"12b19b46fd53960061599186704ad274800460ab6e46d98ce5960299c69c5713","source":{"kind":"arxiv","id":"1801.03300","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.03300","created_at":"2026-05-18T00:26:17Z"},{"alias_kind":"arxiv_version","alias_value":"1801.03300v1","created_at":"2026-05-18T00:26:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.03300","created_at":"2026-05-18T00:26:17Z"},{"alias_kind":"pith_short_12","alias_value":"CKYZWRX5KOLA","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"CKYZWRX5KOLAAYKZ","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"CKYZWRX5","created_at":"2026-05-18T12:32:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:CKYZWRX5KOLAAYKZSGDHASWSOS","target":"record","payload":{"canonical_record":{"source":{"id":"1801.03300","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-01-10T10:47:36Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"b3022619eaefd795533e324a6477dc5fbcb067be988b9c14a088f9a8751aa2aa","abstract_canon_sha256":"718ba4fc3e6b54703101a1a6f50673bab0d6456402b1326052dc3048c3d91c51"},"schema_version":"1.0"},"canonical_sha256":"12b19b46fd53960061599186704ad274800460ab6e46d98ce5960299c69c5713","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:17.456100Z","signature_b64":"mdM6q6uEYP+Crx8h90WbI2yb1If8n1HKUJJE0LFd/1ve4SDHvO91FyC0F0XC8EppRKfyIqEy5dDpAzjS3GZ/BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"12b19b46fd53960061599186704ad274800460ab6e46d98ce5960299c69c5713","last_reissued_at":"2026-05-18T00:26:17.455512Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:17.455512Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.03300","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":"2026-05-18T00:26:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4TyQ9eBpv4GMP4dGhPFEJQKBHV3XmdL5SaZ6wkmIddG9/Wn3jF3AI0MFNyhZHka3XKqllT+J7q1LKRRqrF41CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T19:27:34.110184Z"},"content_sha256":"fc791fa556002a341c63b23da47aa51c4c666fa737034de74de8a957d921e4b1","schema_version":"1.0","event_id":"sha256:fc791fa556002a341c63b23da47aa51c4c666fa737034de74de8a957d921e4b1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:CKYZWRX5KOLAAYKZSGDHASWSOS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Shapley effects for sensitivity analysis with dependent inputs: bootstrap and kriging-based algorithms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"EDF R\\&D), Kevin Elie-Dit-Cosaque (ICJ), Nazih Benoumechiara (LPSM UMR 8001","submitted_at":"2018-01-10T10:47:36Z","abstract_excerpt":"In global sensitivity analysis, the well known Sobol' sensitivity indices aim to quantify how the variance in the output of a mathematical model can be apportioned to the different variances of its input random variables. These indices are based on the functional variance decomposition and their interpretation become difficult in the presence of statistical dependence between the inputs. However, as there is dependence in many application studies, that enhances the development of interpretable sensitivity indices. Recently, the Shapley values developed in the field of cooperative games theory "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.03300","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":"2026-05-18T00:26:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lgTaWIwkp1HWCepGynPIwB59R2W9OEdCbZrzWi+AyU1p1dFU6L2+VoJsRzr9ZqO/wDguppaam6tAYCw+/klsDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T19:27:34.110543Z"},"content_sha256":"f11cbea9732d4a117404585bc1a9395acbfacba0907669215650259525ec5bd7","schema_version":"1.0","event_id":"sha256:f11cbea9732d4a117404585bc1a9395acbfacba0907669215650259525ec5bd7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CKYZWRX5KOLAAYKZSGDHASWSOS/bundle.json","state_url":"https://pith.science/pith/CKYZWRX5KOLAAYKZSGDHASWSOS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CKYZWRX5KOLAAYKZSGDHASWSOS/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":"2026-06-29T19:27:34Z","links":{"resolver":"https://pith.science/pith/CKYZWRX5KOLAAYKZSGDHASWSOS","bundle":"https://pith.science/pith/CKYZWRX5KOLAAYKZSGDHASWSOS/bundle.json","state":"https://pith.science/pith/CKYZWRX5KOLAAYKZSGDHASWSOS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CKYZWRX5KOLAAYKZSGDHASWSOS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:CKYZWRX5KOLAAYKZSGDHASWSOS","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":"718ba4fc3e6b54703101a1a6f50673bab0d6456402b1326052dc3048c3d91c51","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-01-10T10:47:36Z","title_canon_sha256":"b3022619eaefd795533e324a6477dc5fbcb067be988b9c14a088f9a8751aa2aa"},"schema_version":"1.0","source":{"id":"1801.03300","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.03300","created_at":"2026-05-18T00:26:17Z"},{"alias_kind":"arxiv_version","alias_value":"1801.03300v1","created_at":"2026-05-18T00:26:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.03300","created_at":"2026-05-18T00:26:17Z"},{"alias_kind":"pith_short_12","alias_value":"CKYZWRX5KOLA","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"CKYZWRX5KOLAAYKZ","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"CKYZWRX5","created_at":"2026-05-18T12:32:16Z"}],"graph_snapshots":[{"event_id":"sha256:f11cbea9732d4a117404585bc1a9395acbfacba0907669215650259525ec5bd7","target":"graph","created_at":"2026-05-18T00:26:17Z","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":"In global sensitivity analysis, the well known Sobol' sensitivity indices aim to quantify how the variance in the output of a mathematical model can be apportioned to the different variances of its input random variables. These indices are based on the functional variance decomposition and their interpretation become difficult in the presence of statistical dependence between the inputs. However, as there is dependence in many application studies, that enhances the development of interpretable sensitivity indices. Recently, the Shapley values developed in the field of cooperative games theory ","authors_text":"EDF R\\&D), Kevin Elie-Dit-Cosaque (ICJ), Nazih Benoumechiara (LPSM UMR 8001","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-01-10T10:47:36Z","title":"Shapley effects for sensitivity analysis with dependent inputs: bootstrap and kriging-based algorithms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.03300","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:fc791fa556002a341c63b23da47aa51c4c666fa737034de74de8a957d921e4b1","target":"record","created_at":"2026-05-18T00:26:17Z","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":"718ba4fc3e6b54703101a1a6f50673bab0d6456402b1326052dc3048c3d91c51","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-01-10T10:47:36Z","title_canon_sha256":"b3022619eaefd795533e324a6477dc5fbcb067be988b9c14a088f9a8751aa2aa"},"schema_version":"1.0","source":{"id":"1801.03300","kind":"arxiv","version":1}},"canonical_sha256":"12b19b46fd53960061599186704ad274800460ab6e46d98ce5960299c69c5713","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"12b19b46fd53960061599186704ad274800460ab6e46d98ce5960299c69c5713","first_computed_at":"2026-05-18T00:26:17.455512Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:17.455512Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mdM6q6uEYP+Crx8h90WbI2yb1If8n1HKUJJE0LFd/1ve4SDHvO91FyC0F0XC8EppRKfyIqEy5dDpAzjS3GZ/BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:17.456100Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.03300","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fc791fa556002a341c63b23da47aa51c4c666fa737034de74de8a957d921e4b1","sha256:f11cbea9732d4a117404585bc1a9395acbfacba0907669215650259525ec5bd7"],"state_sha256":"129f366ff5005c242704554c1d1da70fa0547d6e87c46193faa5fe9c0fb65f1f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KTwpjKFbJrz3FpcwdVi3i+jYvUaYQD/Eue049ycsjGZwyLtyPLlgMh1K1bQoO7fPSruVzUPbRjShNFSUhl8YAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T19:27:34.112398Z","bundle_sha256":"12a6e451706825ca3d930655803eca12ef6d250ff9f665421a44619b2d97648b"}}