{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:KHYFHPV7T2F5XJMAB2PI5GJZDW","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":"43fc267cd5bb30b665c19ab0f0dfa879f0fee099389158cff7f3efb993ed2505","cross_cats_sorted":["cs.AI","cs.PL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2013-08-03T12:28:23Z","title_canon_sha256":"55124569e5b1128c1e833eb16b09f184d4f0e87f48399f2dad33fceeb04c903a"},"schema_version":"1.0","source":{"id":"1308.0689","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.0689","created_at":"2026-05-18T01:37:37Z"},{"alias_kind":"arxiv_version","alias_value":"1308.0689v4","created_at":"2026-05-18T01:37:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.0689","created_at":"2026-05-18T01:37:37Z"},{"alias_kind":"pith_short_12","alias_value":"KHYFHPV7T2F5","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"KHYFHPV7T2F5XJMA","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"KHYFHPV7","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:640dc74dae641c0f1401d817d325520b2818dfa725bbdb224b5fda69b88608d1","target":"graph","created_at":"2026-05-18T01:37:37Z","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":"The Bayesian approach to machine learning amounts to computing posterior distributions of random variables from a probabilistic model of how the variables are related (that is, a prior distribution) and a set of observations of variables. There is a trend in machine learning towards expressing Bayesian models as probabilistic programs. As a foundation for this kind of programming, we propose a core functional calculus with primitives for sampling prior distributions and observing variables. We define measure-transformer combinators inspired by theorems in measure theory, and use these to give ","authors_text":"Andrew D Gordon (Microsoft Research, Cambridge, James Margetson (Microsoft Research, Johannes Borgstr\\\"om (Uppsala University, Jurgen Van Gael (Microsoft FUSE Labs, Michael Greenberg (University of Pennsylvania, PA, Philadelphia, Sweden), UK), Uppsala, USA)","cross_cats":["cs.AI","cs.PL"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2013-08-03T12:28:23Z","title":"Measure Transformer Semantics for Bayesian Machine Learning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.0689","kind":"arxiv","version":4},"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":"sha256:103ce6e4ffa5647fd1d75d3d3e1780ceb251f8e8667bd4a3d4352cb84d527fe9","target":"record","created_at":"2026-05-18T01:37:37Z","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":"43fc267cd5bb30b665c19ab0f0dfa879f0fee099389158cff7f3efb993ed2505","cross_cats_sorted":["cs.AI","cs.PL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2013-08-03T12:28:23Z","title_canon_sha256":"55124569e5b1128c1e833eb16b09f184d4f0e87f48399f2dad33fceeb04c903a"},"schema_version":"1.0","source":{"id":"1308.0689","kind":"arxiv","version":4}},"canonical_sha256":"51f053bebf9e8bdba5800e9e8e99391db2a14afa695ecae9ac15cf7060073e37","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"51f053bebf9e8bdba5800e9e8e99391db2a14afa695ecae9ac15cf7060073e37","first_computed_at":"2026-05-18T01:37:37.962193Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:37.962193Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XPOR0Ap9tVmOpChfcPwH5Sti0GIkOGuzLKSHRUkjH7FHvfh23zpz/YdvklPoCN2FVxWJV6EUnlFPUHovk/1YDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:37.962610Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.0689","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:103ce6e4ffa5647fd1d75d3d3e1780ceb251f8e8667bd4a3d4352cb84d527fe9","sha256:640dc74dae641c0f1401d817d325520b2818dfa725bbdb224b5fda69b88608d1"],"state_sha256":"b1b85d019a4bf82484105a7117f29f0ac6b359600b5cfbac0898283c5d9bd551"}