{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:LMAQIHUOTVCYVZZPDXTHA5CVYH","short_pith_number":"pith:LMAQIHUO","canonical_record":{"source":{"id":"1203.4287","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2012-03-19T23:37:07Z","cross_cats_sorted":[],"title_canon_sha256":"c8723ae3acb7c5303395777fead0fa81e54e15d588d2c2cbb3c22a1de2eb5838","abstract_canon_sha256":"16ce613a169ff1d2c788b8e3e3689f43501cde1b9167eb0235fd4f4ec4a4f2e5"},"schema_version":"1.0"},"canonical_sha256":"5b01041e8e9d458ae72f1de6707455c1cbd9e117bc3d6c7ce15156816f459fea","source":{"kind":"arxiv","id":"1203.4287","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.4287","created_at":"2026-05-18T03:59:39Z"},{"alias_kind":"arxiv_version","alias_value":"1203.4287v1","created_at":"2026-05-18T03:59:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.4287","created_at":"2026-05-18T03:59:39Z"},{"alias_kind":"pith_short_12","alias_value":"LMAQIHUOTVCY","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LMAQIHUOTVCYVZZP","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LMAQIHUO","created_at":"2026-05-18T12:27:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:LMAQIHUOTVCYVZZPDXTHA5CVYH","target":"record","payload":{"canonical_record":{"source":{"id":"1203.4287","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2012-03-19T23:37:07Z","cross_cats_sorted":[],"title_canon_sha256":"c8723ae3acb7c5303395777fead0fa81e54e15d588d2c2cbb3c22a1de2eb5838","abstract_canon_sha256":"16ce613a169ff1d2c788b8e3e3689f43501cde1b9167eb0235fd4f4ec4a4f2e5"},"schema_version":"1.0"},"canonical_sha256":"5b01041e8e9d458ae72f1de6707455c1cbd9e117bc3d6c7ce15156816f459fea","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:59:39.479397Z","signature_b64":"M3eK4lKxfeB5VqPbZT+6bJLXcdKi2Yz2CdFDJipKgzSFuQK4Z1h1T+Vlt9H4vl/XnlUYK+AbTkGsDmqmZL/7Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5b01041e8e9d458ae72f1de6707455c1cbd9e117bc3d6c7ce15156816f459fea","last_reissued_at":"2026-05-18T03:59:39.478777Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:59:39.478777Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.4287","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:59:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aWtPcYhvn9jVBVVNE13cwxEZ48yQ/mR5h5xTX9AZ0VQRvzeCckMjMwk9nQgjBPaSoCG1wGSg81QjoAvJHrD7DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T07:00:16.005083Z"},"content_sha256":"7e8fac016e8d308954417bddffb31c204dc7a7c1c48d994f00cbec2d49a06e29","schema_version":"1.0","event_id":"sha256:7e8fac016e8d308954417bddffb31c204dc7a7c1c48d994f00cbec2d49a06e29"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:LMAQIHUOTVCYVZZPDXTHA5CVYH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Parameter Learning in PRISM Programs with Continuous Random Variables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.AI","authors_text":"C. R. Ramakrishnan, I. V. Ramakrishnan, Muhammad Asiful Islam","submitted_at":"2012-03-19T23:37:07Z","abstract_excerpt":"Probabilistic Logic Programming (PLP), exemplified by Sato and Kameya's PRISM, Poole's ICL, De Raedt et al's ProbLog and Vennekens et al's LPAD, combines statistical and logical knowledge representation and inference. Inference in these languages is based on enumerative construction of proofs over logic programs. Consequently, these languages permit very limited use of random variables with continuous distributions. In this paper, we extend PRISM with Gaussian random variables and linear equality constraints, and consider the problem of parameter learning in the extended language. Many statist"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.4287","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:59:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r7iRQxu9mww5z99+r4zbvC1lnXmqTAHgIWRnJ/5mvJU0PbT6cKH7nfrYhjcQVuXT5M8wL2pkURnBpFI7wKoaBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T07:00:16.005455Z"},"content_sha256":"851a4f45698e1e72303cc405acd05cc623820d84cdc4b40ead538e21ceaf0d72","schema_version":"1.0","event_id":"sha256:851a4f45698e1e72303cc405acd05cc623820d84cdc4b40ead538e21ceaf0d72"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LMAQIHUOTVCYVZZPDXTHA5CVYH/bundle.json","state_url":"https://pith.science/pith/LMAQIHUOTVCYVZZPDXTHA5CVYH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LMAQIHUOTVCYVZZPDXTHA5CVYH/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-30T07:00:16Z","links":{"resolver":"https://pith.science/pith/LMAQIHUOTVCYVZZPDXTHA5CVYH","bundle":"https://pith.science/pith/LMAQIHUOTVCYVZZPDXTHA5CVYH/bundle.json","state":"https://pith.science/pith/LMAQIHUOTVCYVZZPDXTHA5CVYH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LMAQIHUOTVCYVZZPDXTHA5CVYH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:LMAQIHUOTVCYVZZPDXTHA5CVYH","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":"16ce613a169ff1d2c788b8e3e3689f43501cde1b9167eb0235fd4f4ec4a4f2e5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2012-03-19T23:37:07Z","title_canon_sha256":"c8723ae3acb7c5303395777fead0fa81e54e15d588d2c2cbb3c22a1de2eb5838"},"schema_version":"1.0","source":{"id":"1203.4287","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.4287","created_at":"2026-05-18T03:59:39Z"},{"alias_kind":"arxiv_version","alias_value":"1203.4287v1","created_at":"2026-05-18T03:59:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.4287","created_at":"2026-05-18T03:59:39Z"},{"alias_kind":"pith_short_12","alias_value":"LMAQIHUOTVCY","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LMAQIHUOTVCYVZZP","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LMAQIHUO","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:851a4f45698e1e72303cc405acd05cc623820d84cdc4b40ead538e21ceaf0d72","target":"graph","created_at":"2026-05-18T03:59:39Z","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":"Probabilistic Logic Programming (PLP), exemplified by Sato and Kameya's PRISM, Poole's ICL, De Raedt et al's ProbLog and Vennekens et al's LPAD, combines statistical and logical knowledge representation and inference. Inference in these languages is based on enumerative construction of proofs over logic programs. Consequently, these languages permit very limited use of random variables with continuous distributions. In this paper, we extend PRISM with Gaussian random variables and linear equality constraints, and consider the problem of parameter learning in the extended language. Many statist","authors_text":"C. R. Ramakrishnan, I. V. Ramakrishnan, Muhammad Asiful Islam","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2012-03-19T23:37:07Z","title":"Parameter Learning in PRISM Programs with Continuous Random Variables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.4287","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":"sha256:7e8fac016e8d308954417bddffb31c204dc7a7c1c48d994f00cbec2d49a06e29","target":"record","created_at":"2026-05-18T03:59:39Z","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":"16ce613a169ff1d2c788b8e3e3689f43501cde1b9167eb0235fd4f4ec4a4f2e5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2012-03-19T23:37:07Z","title_canon_sha256":"c8723ae3acb7c5303395777fead0fa81e54e15d588d2c2cbb3c22a1de2eb5838"},"schema_version":"1.0","source":{"id":"1203.4287","kind":"arxiv","version":1}},"canonical_sha256":"5b01041e8e9d458ae72f1de6707455c1cbd9e117bc3d6c7ce15156816f459fea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b01041e8e9d458ae72f1de6707455c1cbd9e117bc3d6c7ce15156816f459fea","first_computed_at":"2026-05-18T03:59:39.478777Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:59:39.478777Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M3eK4lKxfeB5VqPbZT+6bJLXcdKi2Yz2CdFDJipKgzSFuQK4Z1h1T+Vlt9H4vl/XnlUYK+AbTkGsDmqmZL/7Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:59:39.479397Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.4287","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7e8fac016e8d308954417bddffb31c204dc7a7c1c48d994f00cbec2d49a06e29","sha256:851a4f45698e1e72303cc405acd05cc623820d84cdc4b40ead538e21ceaf0d72"],"state_sha256":"e24cb1ecc55ceab99eb13d64cfcd85bd8c3f006ec7acff833ecbafe8bf3bbdd2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hmTNS2f/sgEij7qJxzQh+R3uolUXZU3MsiqmVf2HGXxlWKlJmVH7jSY78Xn8NIlmXAXLB/dkovKi57MLvuRuAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T07:00:16.007439Z","bundle_sha256":"2cd3f698c17a7b04a710594e156253149345ed127a094c87cd4538c9a3a61362"}}