{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:POVADQJNV6572FJCKIBNUH6QM5","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":"56d7a5dc3a2b5db70fae8586fd8c40c78202f80bc97bcf6c35e4a5359a32bb13","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-03-27T13:59:32Z","title_canon_sha256":"bb3a239ed3aeb49e094da8906f6a98e007e61d71e4453f5f05cacbabf745dc25"},"schema_version":"1.0","source":{"id":"1304.1134","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.1134","created_at":"2026-05-18T03:29:04Z"},{"alias_kind":"arxiv_version","alias_value":"1304.1134v1","created_at":"2026-05-18T03:29:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.1134","created_at":"2026-05-18T03:29:04Z"},{"alias_kind":"pith_short_12","alias_value":"POVADQJNV657","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"POVADQJNV6572FJC","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"POVADQJN","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:5a4de872a4df4953e1d0fd3bc154cc164392cc613f7829675e4cd4d5ead6c452","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":"This paper describes a natural framework for rules, based on belief functions, which includes a repre- sentation of numerical rules, default rules and rules allowing and rules not allowing contraposition. In particular it justifies the use of the Dempster-Shafer Theory for representing a particular class of rules, Belief calculated being a lower probability given certain independence assumptions on an underlying space. It shows how a belief function framework can be generalised to other logics, including a general Monte-Carlo algorithm for calculating belief, and how a version of Reiter's Defa","authors_text":"Nic Wilson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-03-27T13:59:32Z","title":"Rules, Belief Functions and Default Logic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.1134","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":"sha256:1b995e2db86bdb24535e387ed56e1d48ae8590a2ee49e8ea754e75ee3b880c1b","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":"56d7a5dc3a2b5db70fae8586fd8c40c78202f80bc97bcf6c35e4a5359a32bb13","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-03-27T13:59:32Z","title_canon_sha256":"bb3a239ed3aeb49e094da8906f6a98e007e61d71e4453f5f05cacbabf745dc25"},"schema_version":"1.0","source":{"id":"1304.1134","kind":"arxiv","version":1}},"canonical_sha256":"7baa01c12dafbbfd15225202da1fd0676d572efbd9a5c28c9f99a4757b6e4467","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7baa01c12dafbbfd15225202da1fd0676d572efbd9a5c28c9f99a4757b6e4467","first_computed_at":"2026-05-18T03:29:04.445459Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:29:04.445459Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KBAnLOw4PFOI63L9kMcalgjs4LuN2T03OTM4bTcxpWrQydO8p/+Bgyo9hC4jv7zzx5NU6xSnpWchBUAJUXCTAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:29:04.446462Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.1134","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1b995e2db86bdb24535e387ed56e1d48ae8590a2ee49e8ea754e75ee3b880c1b","sha256:5a4de872a4df4953e1d0fd3bc154cc164392cc613f7829675e4cd4d5ead6c452"],"state_sha256":"a1161df96979d60b1bccb6fb1ff60ea2a03d36056a920efbc6b9bfa472d6b04e"}