{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:ASHIZNXI5LOBDXZOKKYICF7AFB","short_pith_number":"pith:ASHIZNXI","canonical_record":{"source":{"id":"1410.0630","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2014-10-02T18:09:42Z","cross_cats_sorted":["cs.LG","cs.NE"],"title_canon_sha256":"92427fafcf312870eececb664f3e6747d68cecd34d66c805405b141adcaa36cc","abstract_canon_sha256":"d640ca66b0fcea77d4507f83280d4dea9749c6ba4ad0f36e3e8bd9619d51c6c7"},"schema_version":"1.0"},"canonical_sha256":"048e8cb6e8eadc11df2e52b08117e02876ae1d4ee4c13671c093c1167b9b3233","source":{"kind":"arxiv","id":"1410.0630","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.0630","created_at":"2026-05-18T02:41:10Z"},{"alias_kind":"arxiv_version","alias_value":"1410.0630v1","created_at":"2026-05-18T02:41:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.0630","created_at":"2026-05-18T02:41:10Z"},{"alias_kind":"pith_short_12","alias_value":"ASHIZNXI5LOB","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"ASHIZNXI5LOBDXZO","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"ASHIZNXI","created_at":"2026-05-18T12:28:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:ASHIZNXI5LOBDXZOKKYICF7AFB","target":"record","payload":{"canonical_record":{"source":{"id":"1410.0630","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2014-10-02T18:09:42Z","cross_cats_sorted":["cs.LG","cs.NE"],"title_canon_sha256":"92427fafcf312870eececb664f3e6747d68cecd34d66c805405b141adcaa36cc","abstract_canon_sha256":"d640ca66b0fcea77d4507f83280d4dea9749c6ba4ad0f36e3e8bd9619d51c6c7"},"schema_version":"1.0"},"canonical_sha256":"048e8cb6e8eadc11df2e52b08117e02876ae1d4ee4c13671c093c1167b9b3233","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:41:10.586870Z","signature_b64":"qzO1Nz0WyCrFd/fhbhsxV3ePPUs0c0VPlea82BsHkKdWE42H46z9hY2SzBUxpxb6bbyeMC51BHLO2RPrNOmWDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"048e8cb6e8eadc11df2e52b08117e02876ae1d4ee4c13671c093c1167b9b3233","last_reissued_at":"2026-05-18T02:41:10.586384Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:41:10.586384Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1410.0630","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":"2026-05-18T02:41:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vMGaKnD4DWC4sC39SD9ng6CbmVlb5It8cLRrAE5WT/PG8PxAJFlfANls+NqSkowJO5V7g5vFVehPDdivrX/JBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T08:47:36.081376Z"},"content_sha256":"dff7a8080c95d6de26cf6a6cb48f01e8be6429310f6008aa82aaf21f9ddc76e1","schema_version":"1.0","event_id":"sha256:dff7a8080c95d6de26cf6a6cb48f01e8be6429310f6008aa82aaf21f9ddc76e1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:ASHIZNXI5LOBDXZOKKYICF7AFB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Deep Directed Generative Autoencoders","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","cs.NE"],"primary_cat":"stat.ML","authors_text":"Sherjil Ozair, Yoshua Bengio","submitted_at":"2014-10-02T18:09:42Z","abstract_excerpt":"For discrete data, the likelihood $P(x)$ can be rewritten exactly and parametrized into $P(X = x) = P(X = x | H = f(x)) P(H = f(x))$ if $P(X | H)$ has enough capacity to put no probability mass on any $x'$ for which $f(x')\\neq f(x)$, where $f(\\cdot)$ is a deterministic discrete function. The log of the first factor gives rise to the log-likelihood reconstruction error of an autoencoder with $f(\\cdot)$ as the encoder and $P(X|H)$ as the (probabilistic) decoder. The log of the second term can be seen as a regularizer on the encoded activations $h=f(x)$, e.g., as in sparse autoencoders. Both enco"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.0630","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":"2026-05-18T02:41:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6uRj5i+7br5972KcwuLvz9uzRn2h21tDFZms9+eu9bGHSJx9s86eRVyWxDMklBR30uZ9Ti81eIN+TRaHvkkCCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T08:47:36.081731Z"},"content_sha256":"b7c9e41475e8c1337e4d8ad358b342e4bf985786e502bf05874f5cb69ee6c9f3","schema_version":"1.0","event_id":"sha256:b7c9e41475e8c1337e4d8ad358b342e4bf985786e502bf05874f5cb69ee6c9f3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ASHIZNXI5LOBDXZOKKYICF7AFB/bundle.json","state_url":"https://pith.science/pith/ASHIZNXI5LOBDXZOKKYICF7AFB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ASHIZNXI5LOBDXZOKKYICF7AFB/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":"2026-06-04T08:47:36Z","links":{"resolver":"https://pith.science/pith/ASHIZNXI5LOBDXZOKKYICF7AFB","bundle":"https://pith.science/pith/ASHIZNXI5LOBDXZOKKYICF7AFB/bundle.json","state":"https://pith.science/pith/ASHIZNXI5LOBDXZOKKYICF7AFB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ASHIZNXI5LOBDXZOKKYICF7AFB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ASHIZNXI5LOBDXZOKKYICF7AFB","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":"d640ca66b0fcea77d4507f83280d4dea9749c6ba4ad0f36e3e8bd9619d51c6c7","cross_cats_sorted":["cs.LG","cs.NE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2014-10-02T18:09:42Z","title_canon_sha256":"92427fafcf312870eececb664f3e6747d68cecd34d66c805405b141adcaa36cc"},"schema_version":"1.0","source":{"id":"1410.0630","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.0630","created_at":"2026-05-18T02:41:10Z"},{"alias_kind":"arxiv_version","alias_value":"1410.0630v1","created_at":"2026-05-18T02:41:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.0630","created_at":"2026-05-18T02:41:10Z"},{"alias_kind":"pith_short_12","alias_value":"ASHIZNXI5LOB","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"ASHIZNXI5LOBDXZO","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"ASHIZNXI","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:b7c9e41475e8c1337e4d8ad358b342e4bf985786e502bf05874f5cb69ee6c9f3","target":"graph","created_at":"2026-05-18T02:41:10Z","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":"For discrete data, the likelihood $P(x)$ can be rewritten exactly and parametrized into $P(X = x) = P(X = x | H = f(x)) P(H = f(x))$ if $P(X | H)$ has enough capacity to put no probability mass on any $x'$ for which $f(x')\\neq f(x)$, where $f(\\cdot)$ is a deterministic discrete function. The log of the first factor gives rise to the log-likelihood reconstruction error of an autoencoder with $f(\\cdot)$ as the encoder and $P(X|H)$ as the (probabilistic) decoder. The log of the second term can be seen as a regularizer on the encoded activations $h=f(x)$, e.g., as in sparse autoencoders. Both enco","authors_text":"Sherjil Ozair, Yoshua Bengio","cross_cats":["cs.LG","cs.NE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2014-10-02T18:09:42Z","title":"Deep Directed Generative Autoencoders"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.0630","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:dff7a8080c95d6de26cf6a6cb48f01e8be6429310f6008aa82aaf21f9ddc76e1","target":"record","created_at":"2026-05-18T02:41:10Z","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":"d640ca66b0fcea77d4507f83280d4dea9749c6ba4ad0f36e3e8bd9619d51c6c7","cross_cats_sorted":["cs.LG","cs.NE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2014-10-02T18:09:42Z","title_canon_sha256":"92427fafcf312870eececb664f3e6747d68cecd34d66c805405b141adcaa36cc"},"schema_version":"1.0","source":{"id":"1410.0630","kind":"arxiv","version":1}},"canonical_sha256":"048e8cb6e8eadc11df2e52b08117e02876ae1d4ee4c13671c093c1167b9b3233","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"048e8cb6e8eadc11df2e52b08117e02876ae1d4ee4c13671c093c1167b9b3233","first_computed_at":"2026-05-18T02:41:10.586384Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:10.586384Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qzO1Nz0WyCrFd/fhbhsxV3ePPUs0c0VPlea82BsHkKdWE42H46z9hY2SzBUxpxb6bbyeMC51BHLO2RPrNOmWDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:10.586870Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.0630","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dff7a8080c95d6de26cf6a6cb48f01e8be6429310f6008aa82aaf21f9ddc76e1","sha256:b7c9e41475e8c1337e4d8ad358b342e4bf985786e502bf05874f5cb69ee6c9f3"],"state_sha256":"cbc6c6e7c53abc079baab4080acbc0e914bda988df829645695f31149f5c5dfd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ODkIXsxvPMygFwKPGoa+dd0NfeffP44VdeEm5JeFW+66cDr30fLcgf2Eaypr9wHTBSAYrofNISumxqvD0HzPCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T08:47:36.083729Z","bundle_sha256":"eff726968177e67d382ce2800ce70546d722a132a3676c1228f8c2765f3fe485"}}