{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:FGFWFLVBKHRFBLYXH5IHNEGF4S","short_pith_number":"pith:FGFWFLVB","canonical_record":{"source":{"id":"1304.1505","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-03-27T19:38:11Z","cross_cats_sorted":[],"title_canon_sha256":"a1c6cd735601049053be7d5b6595f3734dfe8eca112ed923bd42504c45e11bb0","abstract_canon_sha256":"b7ff593cb5f97132c4f2f3f264ae5dded2a74ef51180a90e586ad2ecbea13ac8"},"schema_version":"1.0"},"canonical_sha256":"298b62aea151e250af173f507690c5e48c085f3763dc2dc6478184fdd43c3360","source":{"kind":"arxiv","id":"1304.1505","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.1505","created_at":"2026-05-18T03:28:55Z"},{"alias_kind":"arxiv_version","alias_value":"1304.1505v1","created_at":"2026-05-18T03:28:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.1505","created_at":"2026-05-18T03:28:55Z"},{"alias_kind":"pith_short_12","alias_value":"FGFWFLVBKHRF","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FGFWFLVBKHRFBLYX","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FGFWFLVB","created_at":"2026-05-18T12:27:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:FGFWFLVBKHRFBLYXH5IHNEGF4S","target":"record","payload":{"canonical_record":{"source":{"id":"1304.1505","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-03-27T19:38:11Z","cross_cats_sorted":[],"title_canon_sha256":"a1c6cd735601049053be7d5b6595f3734dfe8eca112ed923bd42504c45e11bb0","abstract_canon_sha256":"b7ff593cb5f97132c4f2f3f264ae5dded2a74ef51180a90e586ad2ecbea13ac8"},"schema_version":"1.0"},"canonical_sha256":"298b62aea151e250af173f507690c5e48c085f3763dc2dc6478184fdd43c3360","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:28:55.654931Z","signature_b64":"ZbwdQHBg3QBk0qkSysDP7AiWRTATReFNeeMyuVTbv07gSi2xQtw0b2YqtIuIvf10h1WxCAM3gifKkcP/UjilAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"298b62aea151e250af173f507690c5e48c085f3763dc2dc6478184fdd43c3360","last_reissued_at":"2026-05-18T03:28:55.654151Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:28:55.654151Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1304.1505","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":"2026-05-18T03:28:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6xswi9ZWKFLzryno4pby1Dcz6qGUzROt8H3sXDFVIZpZ7p9ozsfYH8fc7EZuvSa/qCjfUAFkz34iS2ijdJ9IAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:38:02.896548Z"},"content_sha256":"a2695bc7899ab6b3c5fe59395706ab721da2f1d8ff39bbd0a8b4db892ade424c","schema_version":"1.0","event_id":"sha256:a2695bc7899ab6b3c5fe59395706ab721da2f1d8ff39bbd0a8b4db892ade424c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:FGFWFLVBKHRFBLYXH5IHNEGF4S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"d-Separation: From Theorems to Algorithms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.AI","authors_text":"Dan Geiger, Judea Pearl, Tom S. Verma","submitted_at":"2013-03-27T19:38:11Z","abstract_excerpt":"An efficient algorithm is developed that identifies all independencies implied by the topology of a Bayesian network.  Its correctness and maximality stems from the soundness and completeness of d-separation with respect to probability theory.  The algorithm runs in time O (l E l) where E is the number of edges in the network."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.1505","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":"2026-05-18T03:28:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vweCZPedQTphYXUH3WdKSlpAM73JgOGRFSljSFGE4FBmdEAXnY/+Xa43n5SVC0CEEv8GiVtlBlss9aOn4FudDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:38:02.896905Z"},"content_sha256":"5c918473dbcb8e4a5a27e12b73ac1357320c0b0f31feb12244e8531900880674","schema_version":"1.0","event_id":"sha256:5c918473dbcb8e4a5a27e12b73ac1357320c0b0f31feb12244e8531900880674"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FGFWFLVBKHRFBLYXH5IHNEGF4S/bundle.json","state_url":"https://pith.science/pith/FGFWFLVBKHRFBLYXH5IHNEGF4S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FGFWFLVBKHRFBLYXH5IHNEGF4S/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":"2026-05-31T12:38:02Z","links":{"resolver":"https://pith.science/pith/FGFWFLVBKHRFBLYXH5IHNEGF4S","bundle":"https://pith.science/pith/FGFWFLVBKHRFBLYXH5IHNEGF4S/bundle.json","state":"https://pith.science/pith/FGFWFLVBKHRFBLYXH5IHNEGF4S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FGFWFLVBKHRFBLYXH5IHNEGF4S/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:FGFWFLVBKHRFBLYXH5IHNEGF4S","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":"b7ff593cb5f97132c4f2f3f264ae5dded2a74ef51180a90e586ad2ecbea13ac8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-03-27T19:38:11Z","title_canon_sha256":"a1c6cd735601049053be7d5b6595f3734dfe8eca112ed923bd42504c45e11bb0"},"schema_version":"1.0","source":{"id":"1304.1505","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.1505","created_at":"2026-05-18T03:28:55Z"},{"alias_kind":"arxiv_version","alias_value":"1304.1505v1","created_at":"2026-05-18T03:28:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.1505","created_at":"2026-05-18T03:28:55Z"},{"alias_kind":"pith_short_12","alias_value":"FGFWFLVBKHRF","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FGFWFLVBKHRFBLYX","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FGFWFLVB","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:5c918473dbcb8e4a5a27e12b73ac1357320c0b0f31feb12244e8531900880674","target":"graph","created_at":"2026-05-18T03:28:55Z","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":"An efficient algorithm is developed that identifies all independencies implied by the topology of a Bayesian network.  Its correctness and maximality stems from the soundness and completeness of d-separation with respect to probability theory.  The algorithm runs in time O (l E l) where E is the number of edges in the network.","authors_text":"Dan Geiger, Judea Pearl, Tom S. Verma","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-03-27T19:38:11Z","title":"d-Separation: From Theorems to Algorithms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.1505","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:a2695bc7899ab6b3c5fe59395706ab721da2f1d8ff39bbd0a8b4db892ade424c","target":"record","created_at":"2026-05-18T03:28:55Z","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":"b7ff593cb5f97132c4f2f3f264ae5dded2a74ef51180a90e586ad2ecbea13ac8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-03-27T19:38:11Z","title_canon_sha256":"a1c6cd735601049053be7d5b6595f3734dfe8eca112ed923bd42504c45e11bb0"},"schema_version":"1.0","source":{"id":"1304.1505","kind":"arxiv","version":1}},"canonical_sha256":"298b62aea151e250af173f507690c5e48c085f3763dc2dc6478184fdd43c3360","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"298b62aea151e250af173f507690c5e48c085f3763dc2dc6478184fdd43c3360","first_computed_at":"2026-05-18T03:28:55.654151Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:28:55.654151Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZbwdQHBg3QBk0qkSysDP7AiWRTATReFNeeMyuVTbv07gSi2xQtw0b2YqtIuIvf10h1WxCAM3gifKkcP/UjilAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:28:55.654931Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.1505","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a2695bc7899ab6b3c5fe59395706ab721da2f1d8ff39bbd0a8b4db892ade424c","sha256:5c918473dbcb8e4a5a27e12b73ac1357320c0b0f31feb12244e8531900880674"],"state_sha256":"49be543e997d4b16979f9ca1d0c49a05e053327e00c400c0eee21731aaa8cb1c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZENQjCUckTTRMiIULhMc86yiDRmSAPTKgz6xJ+DYcVCuRa3PaTGzdEHcugt5C2MbtSSAXVVASP+N0FQRT9+rAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T12:38:02.899471Z","bundle_sha256":"9697e1e2b6a2c9e4a32e9648ab5000d01b52e96364a5ef16c961c8e88500ead0"}}