{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:KLESAA3HD5DJFP4H7P456HVM7O","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":"57ea1bdc4e1e1012bf27e6d5a584105705179ed84dfb6a3aa4f2a7aecf9f477a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-03-20T15:30:27Z","title_canon_sha256":"221a9c69fd3e0e8dff405eaa4b2b896eb29fd60c060dfe51320de441830099d0"},"schema_version":"1.0","source":{"id":"1303.5715","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.5715","created_at":"2026-05-18T03:30:01Z"},{"alias_kind":"arxiv_version","alias_value":"1303.5715v1","created_at":"2026-05-18T03:30:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.5715","created_at":"2026-05-18T03:30:01Z"},{"alias_kind":"pith_short_12","alias_value":"KLESAA3HD5DJ","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"KLESAA3HD5DJFP4H","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"KLESAA3H","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:8689db3943d1e64252d3aef246602b14250668f4e30ef71a0dbe24d330e59904","target":"graph","created_at":"2026-05-18T03:30:01Z","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 present a generalization of the local expression language used in the Symbolic Probabilistic Inference (SPI) approach to inference in belief nets [1l, [8].  The local expression language in SPI is the language in which the dependence of a node on its antecedents is described.  The original language represented the dependence as a single monolithic conditional probability distribution.  The extended language provides a set of operators (*, +, and -) which can be used to specify methods for combining partial conditional distributions.  As one instance of the utility of this extension, we show","authors_text":"Bruce D'Ambrosio","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-03-20T15:30:27Z","title":"Local Expression Languages for Probabilistic Dependence: a Preliminary Report"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.5715","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:dfdeb56ca6fcc951a0e6a517ab7f2ada1d7801e8af63677d30b8d0f93eb8c121","target":"record","created_at":"2026-05-18T03:30:01Z","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":"57ea1bdc4e1e1012bf27e6d5a584105705179ed84dfb6a3aa4f2a7aecf9f477a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-03-20T15:30:27Z","title_canon_sha256":"221a9c69fd3e0e8dff405eaa4b2b896eb29fd60c060dfe51320de441830099d0"},"schema_version":"1.0","source":{"id":"1303.5715","kind":"arxiv","version":1}},"canonical_sha256":"52c92003671f4692bf87fbf9df1eacfb97d5e3ebc30309a73670b9d7aa16e125","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"52c92003671f4692bf87fbf9df1eacfb97d5e3ebc30309a73670b9d7aa16e125","first_computed_at":"2026-05-18T03:30:01.664362Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:30:01.664362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9MGzAcFQak8MvJU4sE3/H3tzG7zmplPltw5VOUzs1RAEC4W8M7hyjLZeIuEqwF0QUJdjBe3xPPqB+DQXEwGTBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:30:01.665254Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.5715","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dfdeb56ca6fcc951a0e6a517ab7f2ada1d7801e8af63677d30b8d0f93eb8c121","sha256:8689db3943d1e64252d3aef246602b14250668f4e30ef71a0dbe24d330e59904"],"state_sha256":"502fbad8622cc5315de4f70ee64ada036ad69a50f716e6b9ceb651c7acd116cf"}