{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:HFK5LAXUNHP4VDYC7AYG7LQQS2","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":"e57e586f82e0bc82707b1101d72150657a87a0d6a0e703fde414a95801328787","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-03-27T14:00:05Z","title_canon_sha256":"d25015c03dd0d71ed4c11ea7f83bd4362a327916133393350c14e4d16b43f98f"},"schema_version":"1.0","source":{"id":"1304.1140","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.1140","created_at":"2026-05-18T03:29:04Z"},{"alias_kind":"arxiv_version","alias_value":"1304.1140v1","created_at":"2026-05-18T03:29:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.1140","created_at":"2026-05-18T03:29:04Z"},{"alias_kind":"pith_short_12","alias_value":"HFK5LAXUNHP4","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"HFK5LAXUNHP4VDYC","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"HFK5LAXU","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:69b5e9f16df2f49fb3128c4d1cb934ded05c508fb6b92fd60864091d0982fb7d","target":"graph","created_at":"2026-05-18T03:29:04Z","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":"Many AI researchers argue that probability theory is only capable of dealing with uncertainty in situations where a full specification of a joint probability distribution is available, and conclude that it is not suitable for application in knowledge-based systems. Probability intervals, however, constitute a means for expressing incompleteness of information.  We present a method for computing such probability intervals for probabilities of interest from a partial specification of a joint probability distribution.  Our method improves on earlier approaches by allowing for independency relatio","authors_text":"Linda C. van der Gaag","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-03-27T14:00:05Z","title":"Computing Probability Intervals Under Independency Constraints"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.1140","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":"sha256:81ab8cc59ff67164ad1f3926c5540cc712c0ba7f23c3845d8985a50310773df3","target":"record","created_at":"2026-05-18T03:29:04Z","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":"e57e586f82e0bc82707b1101d72150657a87a0d6a0e703fde414a95801328787","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-03-27T14:00:05Z","title_canon_sha256":"d25015c03dd0d71ed4c11ea7f83bd4362a327916133393350c14e4d16b43f98f"},"schema_version":"1.0","source":{"id":"1304.1140","kind":"arxiv","version":1}},"canonical_sha256":"3955d582f469dfca8f02f8306fae1096a3834254b491bbeb4efd05a8ed7caa80","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3955d582f469dfca8f02f8306fae1096a3834254b491bbeb4efd05a8ed7caa80","first_computed_at":"2026-05-18T03:29:04.403547Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:29:04.403547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0f+xi8AEG6/G9obOPO+BNTppPCbRNpk+o81tvUBsX6jJnOQ5YFZ7TOLMvSRlfULLv2oW7ve1cGtAA21IZPtmAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:29:04.404021Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.1140","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:81ab8cc59ff67164ad1f3926c5540cc712c0ba7f23c3845d8985a50310773df3","sha256:69b5e9f16df2f49fb3128c4d1cb934ded05c508fb6b92fd60864091d0982fb7d"],"state_sha256":"e49d8d69c34275d67027db3a1294f41a6573eaac6e3c247961586e0b1d9ddaa2"}