{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:3YEMAPZIVWAMMUXXA3JOJQJXBI","short_pith_number":"pith:3YEMAPZI","canonical_record":{"source":{"id":"1512.02266","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2015-12-07T22:24:31Z","cross_cats_sorted":[],"title_canon_sha256":"69df1d68cfa8ec0b2a3518f368176982b10391dc4cc1d132e751c09235100b11","abstract_canon_sha256":"dd894884d9ea1451caa19fcb82b602a084783b6a2af557182cc9295db489918a"},"schema_version":"1.0"},"canonical_sha256":"de08c03f28ad80c652f706d2e4c1370a2d0b7d7054387f3870c059fe9689bc65","source":{"kind":"arxiv","id":"1512.02266","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.02266","created_at":"2026-05-18T01:11:35Z"},{"alias_kind":"arxiv_version","alias_value":"1512.02266v2","created_at":"2026-05-18T01:11:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.02266","created_at":"2026-05-18T01:11:35Z"},{"alias_kind":"pith_short_12","alias_value":"3YEMAPZIVWAM","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3YEMAPZIVWAMMUXX","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3YEMAPZI","created_at":"2026-05-18T12:29:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:3YEMAPZIVWAMMUXXA3JOJQJXBI","target":"record","payload":{"canonical_record":{"source":{"id":"1512.02266","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2015-12-07T22:24:31Z","cross_cats_sorted":[],"title_canon_sha256":"69df1d68cfa8ec0b2a3518f368176982b10391dc4cc1d132e751c09235100b11","abstract_canon_sha256":"dd894884d9ea1451caa19fcb82b602a084783b6a2af557182cc9295db489918a"},"schema_version":"1.0"},"canonical_sha256":"de08c03f28ad80c652f706d2e4c1370a2d0b7d7054387f3870c059fe9689bc65","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:35.150507Z","signature_b64":"27fznQUDt23wmtCY2y3k9C+b+5vN0UzWDIv7WtLhlI1iANv+f0DWVM1cgqoLTHdn42Vw7tCCIN+Lee+UBSHoBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de08c03f28ad80c652f706d2e4c1370a2d0b7d7054387f3870c059fe9689bc65","last_reissued_at":"2026-05-18T01:11:35.150075Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:35.150075Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1512.02266","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":"2026-05-18T01:11:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vYD8cIm/xQ+xJ9NrDRmq3nH4dmfUooMYKNZskBVQZckdJ5HYD7ICyHg5qaReuWtLlN8Ux+5F11BhI7nCOpZkDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T03:46:53.970517Z"},"content_sha256":"bbedbb82662de93f6e69df9032c883a29217ed9e33bc4833f2ff41f9f2b5021f","schema_version":"1.0","event_id":"sha256:bbedbb82662de93f6e69df9032c883a29217ed9e33bc4833f2ff41f9f2b5021f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:3YEMAPZIVWAMMUXXA3JOJQJXBI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sensitivity analysis, multilinearity and beyond","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.AI","authors_text":"Christiane G\\\"orgen, Jim Q. Smith, Manuele Leonelli","submitted_at":"2015-12-07T22:24:31Z","abstract_excerpt":"Sensitivity methods for the analysis of the outputs of discrete Bayesian networks have been extensively studied and implemented in different software packages. These methods usually focus on the study of sensitivity functions and on the impact of a parameter change to the Chan-Darwiche distance. Although not fully recognized, the majority of these results heavily rely on the multilinear structure of atomic probabilities in terms of the conditional probability parameters associated with this type of network. By defining a statistical model through the polynomial expression of its associated def"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.02266","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":"2026-05-18T01:11:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+POSUlF5Kqtp7YZbkgu4jH5sb0/3ddVCoFn44Wi8U/dqi3PfZ4w6hzolBIX/hLhUM5HVD9PQ2qnoenszT68ECw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T03:46:53.970866Z"},"content_sha256":"05c7fdafa40e78f0533905a0fe8b685e421bf19d0107e0872b0f4d1f5ecf619a","schema_version":"1.0","event_id":"sha256:05c7fdafa40e78f0533905a0fe8b685e421bf19d0107e0872b0f4d1f5ecf619a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3YEMAPZIVWAMMUXXA3JOJQJXBI/bundle.json","state_url":"https://pith.science/pith/3YEMAPZIVWAMMUXXA3JOJQJXBI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3YEMAPZIVWAMMUXXA3JOJQJXBI/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":"2026-06-04T03:46:53Z","links":{"resolver":"https://pith.science/pith/3YEMAPZIVWAMMUXXA3JOJQJXBI","bundle":"https://pith.science/pith/3YEMAPZIVWAMMUXXA3JOJQJXBI/bundle.json","state":"https://pith.science/pith/3YEMAPZIVWAMMUXXA3JOJQJXBI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3YEMAPZIVWAMMUXXA3JOJQJXBI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:3YEMAPZIVWAMMUXXA3JOJQJXBI","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":"dd894884d9ea1451caa19fcb82b602a084783b6a2af557182cc9295db489918a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2015-12-07T22:24:31Z","title_canon_sha256":"69df1d68cfa8ec0b2a3518f368176982b10391dc4cc1d132e751c09235100b11"},"schema_version":"1.0","source":{"id":"1512.02266","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.02266","created_at":"2026-05-18T01:11:35Z"},{"alias_kind":"arxiv_version","alias_value":"1512.02266v2","created_at":"2026-05-18T01:11:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.02266","created_at":"2026-05-18T01:11:35Z"},{"alias_kind":"pith_short_12","alias_value":"3YEMAPZIVWAM","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3YEMAPZIVWAMMUXX","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3YEMAPZI","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:05c7fdafa40e78f0533905a0fe8b685e421bf19d0107e0872b0f4d1f5ecf619a","target":"graph","created_at":"2026-05-18T01:11:35Z","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 methods for the analysis of the outputs of discrete Bayesian networks have been extensively studied and implemented in different software packages. These methods usually focus on the study of sensitivity functions and on the impact of a parameter change to the Chan-Darwiche distance. Although not fully recognized, the majority of these results heavily rely on the multilinear structure of atomic probabilities in terms of the conditional probability parameters associated with this type of network. By defining a statistical model through the polynomial expression of its associated def","authors_text":"Christiane G\\\"orgen, Jim Q. Smith, Manuele Leonelli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2015-12-07T22:24:31Z","title":"Sensitivity analysis, multilinearity and beyond"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.02266","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:bbedbb82662de93f6e69df9032c883a29217ed9e33bc4833f2ff41f9f2b5021f","target":"record","created_at":"2026-05-18T01:11:35Z","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":"dd894884d9ea1451caa19fcb82b602a084783b6a2af557182cc9295db489918a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2015-12-07T22:24:31Z","title_canon_sha256":"69df1d68cfa8ec0b2a3518f368176982b10391dc4cc1d132e751c09235100b11"},"schema_version":"1.0","source":{"id":"1512.02266","kind":"arxiv","version":2}},"canonical_sha256":"de08c03f28ad80c652f706d2e4c1370a2d0b7d7054387f3870c059fe9689bc65","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"de08c03f28ad80c652f706d2e4c1370a2d0b7d7054387f3870c059fe9689bc65","first_computed_at":"2026-05-18T01:11:35.150075Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:35.150075Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"27fznQUDt23wmtCY2y3k9C+b+5vN0UzWDIv7WtLhlI1iANv+f0DWVM1cgqoLTHdn42Vw7tCCIN+Lee+UBSHoBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:35.150507Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.02266","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bbedbb82662de93f6e69df9032c883a29217ed9e33bc4833f2ff41f9f2b5021f","sha256:05c7fdafa40e78f0533905a0fe8b685e421bf19d0107e0872b0f4d1f5ecf619a"],"state_sha256":"735bc3827ea537f21665c4dbb5cc6e17ca47102af4a007b1bf01911ea83ace98"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G9dFzV9KZ2qVaGZdaxz2lRVdyQ/GN+NoBOEgvTF3YuKZE/+2uoxHjUaxuUtEkd1dvJlAjPhFI7ngyTGf2jFxCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T03:46:53.972802Z","bundle_sha256":"2215cfd044fc69505881efa6fc80746d998bd429bae5cd8b42891a5674601110"}}