{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:YRWYTK3GHO4UDTC5GB6PRG32WB","short_pith_number":"pith:YRWYTK3G","canonical_record":{"source":{"id":"1411.7717","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2014-11-27T23:02:41Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"96faa6e75d25e81d07a3527927eb02f03c5822dc8928941ad26f77ed09701297","abstract_canon_sha256":"e0224079944cfa8e979d8d6e41541552588638a4e4ba9ff2a6499cba2fbd73f9"},"schema_version":"1.0"},"canonical_sha256":"c46d89ab663bb941cc5d307cf89b7ab055c48218ea0696c19a6046d346fae162","source":{"kind":"arxiv","id":"1411.7717","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.7717","created_at":"2026-05-18T02:28:53Z"},{"alias_kind":"arxiv_version","alias_value":"1411.7717v3","created_at":"2026-05-18T02:28:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.7717","created_at":"2026-05-18T02:28:53Z"},{"alias_kind":"pith_short_12","alias_value":"YRWYTK3GHO4U","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YRWYTK3GHO4UDTC5","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YRWYTK3G","created_at":"2026-05-18T12:28:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:YRWYTK3GHO4UDTC5GB6PRG32WB","target":"record","payload":{"canonical_record":{"source":{"id":"1411.7717","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2014-11-27T23:02:41Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"96faa6e75d25e81d07a3527927eb02f03c5822dc8928941ad26f77ed09701297","abstract_canon_sha256":"e0224079944cfa8e979d8d6e41541552588638a4e4ba9ff2a6499cba2fbd73f9"},"schema_version":"1.0"},"canonical_sha256":"c46d89ab663bb941cc5d307cf89b7ab055c48218ea0696c19a6046d346fae162","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:28:53.718921Z","signature_b64":"JxQiUjj2PewfbK8w4ejWRufPklybdJvbRi7s7QdjCH5iKry51G/b5GaemoTABk5ojZpAtL5Bl/6KJDRJkUUfAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c46d89ab663bb941cc5d307cf89b7ab055c48218ea0696c19a6046d346fae162","last_reissued_at":"2026-05-18T02:28:53.718568Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:28:53.718568Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.7717","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:28:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i1mJMkLJg+mZ+lpCYCCU/b0uOEIZ05nGIGXD1rmtTES5/zZitlquQPhgS6J1FsfrHgYPhtpEhHKWATv8CnsOAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T08:03:30.202037Z"},"content_sha256":"c9a1c233a0d0f637252ff3d29fd85013b039610b40981a4edc3e223b6b0b6aae","schema_version":"1.0","event_id":"sha256:c9a1c233a0d0f637252ff3d29fd85013b039610b40981a4edc3e223b6b0b6aae"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:YRWYTK3GHO4UDTC5GB6PRG32WB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Expressive Efficiency of Sum Product Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"cs.LG","authors_text":"James Martens, Venkatesh Medabalimi","submitted_at":"2014-11-27T23:02:41Z","abstract_excerpt":"Sum Product Networks (SPNs) are a recently developed class of deep generative models which compute their associated unnormalized density functions using a special type of arithmetic circuit. When certain sufficient conditions, called the decomposability and completeness conditions (or \"D&C\" conditions), are imposed on the structure of these circuits, marginal densities and other useful quantities, which are typically intractable for other deep generative models, can be computed by what amounts to a single evaluation of the network (which is a property known as \"validity\"). However, the effect "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.7717","kind":"arxiv","version":3},"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":"2026-05-18T02:28:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OaVIoOfs3zzgskHaOI5Yy6JdpjwyoXh/V9CscE+JRw3+nrmt9gMQMqS7sMyvsiU3R+pN8B6SmKWFI7qSONfGDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T08:03:30.202776Z"},"content_sha256":"21fe2172e4245ecd909b0bf4124456517c34dc71e324ef9e36c06fc3d85510b0","schema_version":"1.0","event_id":"sha256:21fe2172e4245ecd909b0bf4124456517c34dc71e324ef9e36c06fc3d85510b0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YRWYTK3GHO4UDTC5GB6PRG32WB/bundle.json","state_url":"https://pith.science/pith/YRWYTK3GHO4UDTC5GB6PRG32WB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YRWYTK3GHO4UDTC5GB6PRG32WB/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":"2026-06-09T08:03:30Z","links":{"resolver":"https://pith.science/pith/YRWYTK3GHO4UDTC5GB6PRG32WB","bundle":"https://pith.science/pith/YRWYTK3GHO4UDTC5GB6PRG32WB/bundle.json","state":"https://pith.science/pith/YRWYTK3GHO4UDTC5GB6PRG32WB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YRWYTK3GHO4UDTC5GB6PRG32WB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:YRWYTK3GHO4UDTC5GB6PRG32WB","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":"e0224079944cfa8e979d8d6e41541552588638a4e4ba9ff2a6499cba2fbd73f9","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2014-11-27T23:02:41Z","title_canon_sha256":"96faa6e75d25e81d07a3527927eb02f03c5822dc8928941ad26f77ed09701297"},"schema_version":"1.0","source":{"id":"1411.7717","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.7717","created_at":"2026-05-18T02:28:53Z"},{"alias_kind":"arxiv_version","alias_value":"1411.7717v3","created_at":"2026-05-18T02:28:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.7717","created_at":"2026-05-18T02:28:53Z"},{"alias_kind":"pith_short_12","alias_value":"YRWYTK3GHO4U","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YRWYTK3GHO4UDTC5","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YRWYTK3G","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:21fe2172e4245ecd909b0bf4124456517c34dc71e324ef9e36c06fc3d85510b0","target":"graph","created_at":"2026-05-18T02:28:53Z","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":"Sum Product Networks (SPNs) are a recently developed class of deep generative models which compute their associated unnormalized density functions using a special type of arithmetic circuit. When certain sufficient conditions, called the decomposability and completeness conditions (or \"D&C\" conditions), are imposed on the structure of these circuits, marginal densities and other useful quantities, which are typically intractable for other deep generative models, can be computed by what amounts to a single evaluation of the network (which is a property known as \"validity\"). However, the effect ","authors_text":"James Martens, Venkatesh Medabalimi","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2014-11-27T23:02:41Z","title":"On the Expressive Efficiency of Sum Product Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.7717","kind":"arxiv","version":3},"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:c9a1c233a0d0f637252ff3d29fd85013b039610b40981a4edc3e223b6b0b6aae","target":"record","created_at":"2026-05-18T02:28:53Z","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":"e0224079944cfa8e979d8d6e41541552588638a4e4ba9ff2a6499cba2fbd73f9","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2014-11-27T23:02:41Z","title_canon_sha256":"96faa6e75d25e81d07a3527927eb02f03c5822dc8928941ad26f77ed09701297"},"schema_version":"1.0","source":{"id":"1411.7717","kind":"arxiv","version":3}},"canonical_sha256":"c46d89ab663bb941cc5d307cf89b7ab055c48218ea0696c19a6046d346fae162","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c46d89ab663bb941cc5d307cf89b7ab055c48218ea0696c19a6046d346fae162","first_computed_at":"2026-05-18T02:28:53.718568Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:28:53.718568Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JxQiUjj2PewfbK8w4ejWRufPklybdJvbRi7s7QdjCH5iKry51G/b5GaemoTABk5ojZpAtL5Bl/6KJDRJkUUfAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:28:53.718921Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.7717","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c9a1c233a0d0f637252ff3d29fd85013b039610b40981a4edc3e223b6b0b6aae","sha256:21fe2172e4245ecd909b0bf4124456517c34dc71e324ef9e36c06fc3d85510b0"],"state_sha256":"c48d0ab119d48271617e0e8dc361ad069db101ffa94b388a2f25066b9f1b810b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sJmzE5e6vUpUThQadxgXMLIW/0BRvVJ0PgMX8vKWFlDe5G5UvQUC0ltkp2wyTnAnjfKRCdPijpnY+6GT9YxdAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T08:03:30.206891Z","bundle_sha256":"82790c40ffe753ed04cb9e53985e377dacda429fc50e740994bc9cad5ce01e9d"}}