{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:OJRXWLL6NRHHGY7OMM4AWVQXHD","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":"bd89b8c8ffb4d38a581d18a44d5c02f2495e36c06c2db692dc1ef92810e361e4","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-03-27T13:58:06Z","title_canon_sha256":"abda3f56f7d0de45587683b60f38b14a0664cdc5dda92ff880e78a02eeef98f0"},"schema_version":"1.0","source":{"id":"1304.1119","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.1119","created_at":"2026-05-18T03:29:04Z"},{"alias_kind":"arxiv_version","alias_value":"1304.1119v1","created_at":"2026-05-18T03:29:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.1119","created_at":"2026-05-18T03:29:04Z"},{"alias_kind":"pith_short_12","alias_value":"OJRXWLL6NRHH","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"OJRXWLL6NRHHGY7O","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"OJRXWLL6","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:c7a8209b2184d3e3741106ffae60cf8c2c3c4979f8c35a2e80a9c3fb1ef61740","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":"We define a new notion of conditional belief, which plays the same role for Dempster-Shafer belief functions as conditional probability does for probability functions.  Our definition is different from the standard definition given by Dempster, and avoids many of the well-known problems of that definition.  Just as the conditional probability Pr (lB) is a probability function which is the result of conditioning on B being true, so too our conditional belief function Bel (lB) is a belief function which is the result of conditioning on B being true.  We define the conditional belief as the lower","authors_text":"Joseph Y. Halpern, Ronald Fagin","cross_cats":["cs.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-03-27T13:58:06Z","title":"A New Approach to Updating Beliefs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.1119","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":"sha256:8e5d29101c8449c099c80cbecf307837b1a2e8c6e201ebfd96793daf25e9a1f7","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":"bd89b8c8ffb4d38a581d18a44d5c02f2495e36c06c2db692dc1ef92810e361e4","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-03-27T13:58:06Z","title_canon_sha256":"abda3f56f7d0de45587683b60f38b14a0664cdc5dda92ff880e78a02eeef98f0"},"schema_version":"1.0","source":{"id":"1304.1119","kind":"arxiv","version":1}},"canonical_sha256":"72637b2d7e6c4e7363ee63380b561738fa7591039377b7c9bfcdd4ccb290844b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"72637b2d7e6c4e7363ee63380b561738fa7591039377b7c9bfcdd4ccb290844b","first_computed_at":"2026-05-18T03:29:04.571171Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:29:04.571171Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Rz5s9V79ItBl24ChtJCzDU0V7QzfD/fKg+aMNbMjtP8A/yHpCMdB20WQ+DsePxh5glnHMruJ5E4u6IV/656gCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:29:04.571833Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.1119","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e5d29101c8449c099c80cbecf307837b1a2e8c6e201ebfd96793daf25e9a1f7","sha256:c7a8209b2184d3e3741106ffae60cf8c2c3c4979f8c35a2e80a9c3fb1ef61740"],"state_sha256":"69180fe2da5cff6fbac75b4be9d821b22fba4326746c59d62533808fa0b548bd"}