{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:BX6ZJKX4KTHN6CLWR4PIAKHGDP","short_pith_number":"pith:BX6ZJKX4","canonical_record":{"source":{"id":"1706.01807","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-06-06T15:03:15Z","cross_cats_sorted":[],"title_canon_sha256":"ab6ecb55ab19c06e78b013da1b2e65bb85a30dd2fa34989b3dd1c71b657260a3","abstract_canon_sha256":"22a085762540c78fa8f4bf4650a7f83bf990edeb4fd4a37c9b034e85ad95bd55"},"schema_version":"1.0"},"canonical_sha256":"0dfd94aafc54cedf09768f1e8028e61bf8ae6c1b241624bfe03920c570812599","source":{"kind":"arxiv","id":"1706.01807","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.01807","created_at":"2026-05-18T00:42:55Z"},{"alias_kind":"arxiv_version","alias_value":"1706.01807v1","created_at":"2026-05-18T00:42:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.01807","created_at":"2026-05-18T00:42:55Z"},{"alias_kind":"pith_short_12","alias_value":"BX6ZJKX4KTHN","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"BX6ZJKX4KTHN6CLW","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"BX6ZJKX4","created_at":"2026-05-18T12:31:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:BX6ZJKX4KTHN6CLWR4PIAKHGDP","target":"record","payload":{"canonical_record":{"source":{"id":"1706.01807","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-06-06T15:03:15Z","cross_cats_sorted":[],"title_canon_sha256":"ab6ecb55ab19c06e78b013da1b2e65bb85a30dd2fa34989b3dd1c71b657260a3","abstract_canon_sha256":"22a085762540c78fa8f4bf4650a7f83bf990edeb4fd4a37c9b034e85ad95bd55"},"schema_version":"1.0"},"canonical_sha256":"0dfd94aafc54cedf09768f1e8028e61bf8ae6c1b241624bfe03920c570812599","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:42:55.905325Z","signature_b64":"AzHCyOL202uDnBCTMZMusvWfXrM/O9RrUZblxUMCAfEKnNBRzJW23NglIMZrVov7d2zWoG1H8pB9kiQOh+Y1AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0dfd94aafc54cedf09768f1e8028e61bf8ae6c1b241624bfe03920c570812599","last_reissued_at":"2026-05-18T00:42:55.904626Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:42:55.904626Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.01807","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":"2026-05-18T00:42:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wXw7f+QPXdlVv7n93Xjqg5FSpapl7Qdj8bWiYNeHh/R2blEcXlF0/wHK4RV7gCOisMsaf4cSmcqCSus2PikkCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T16:24:59.044223Z"},"content_sha256":"3bf9875626dee7df81feef72eb4f84b3a6e60054ad22e9c29cbe5ecc35c9f35f","schema_version":"1.0","event_id":"sha256:3bf9875626dee7df81feef72eb4f84b3a6e60054ad22e9c29cbe5ecc35c9f35f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:BX6ZJKX4KTHN6CLWR4PIAKHGDP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"GAN and VAE from an Optimal Transport Point of View","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ML","authors_text":"Aude Genevay, Gabriel Peyr\\'e, Marco Cuturi","submitted_at":"2017-06-06T15:03:15Z","abstract_excerpt":"This short article revisits some of the ideas introduced in arXiv:1701.07875 and arXiv:1705.07642 in a simple setup. This sheds some lights on the connexions between Variational Autoencoders (VAE), Generative Adversarial Networks (GAN) and Minimum Kantorovitch Estimators (MKE)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.01807","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":"2026-05-18T00:42:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t6yDfqAjDNeSy8R4u5WE2jAYnMWGtQVKrQDkb3nM3+bweCLqsPjuOdm38PHGmsaVo9Ep+zDNC8BmXnMtwRdOAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T16:24:59.044952Z"},"content_sha256":"f3be3203b09b0e7d0317b010ef8d09258a4712082a644153f9397005ca963b95","schema_version":"1.0","event_id":"sha256:f3be3203b09b0e7d0317b010ef8d09258a4712082a644153f9397005ca963b95"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BX6ZJKX4KTHN6CLWR4PIAKHGDP/bundle.json","state_url":"https://pith.science/pith/BX6ZJKX4KTHN6CLWR4PIAKHGDP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BX6ZJKX4KTHN6CLWR4PIAKHGDP/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":"2026-05-25T16:24:59Z","links":{"resolver":"https://pith.science/pith/BX6ZJKX4KTHN6CLWR4PIAKHGDP","bundle":"https://pith.science/pith/BX6ZJKX4KTHN6CLWR4PIAKHGDP/bundle.json","state":"https://pith.science/pith/BX6ZJKX4KTHN6CLWR4PIAKHGDP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BX6ZJKX4KTHN6CLWR4PIAKHGDP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:BX6ZJKX4KTHN6CLWR4PIAKHGDP","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":"22a085762540c78fa8f4bf4650a7f83bf990edeb4fd4a37c9b034e85ad95bd55","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-06-06T15:03:15Z","title_canon_sha256":"ab6ecb55ab19c06e78b013da1b2e65bb85a30dd2fa34989b3dd1c71b657260a3"},"schema_version":"1.0","source":{"id":"1706.01807","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.01807","created_at":"2026-05-18T00:42:55Z"},{"alias_kind":"arxiv_version","alias_value":"1706.01807v1","created_at":"2026-05-18T00:42:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.01807","created_at":"2026-05-18T00:42:55Z"},{"alias_kind":"pith_short_12","alias_value":"BX6ZJKX4KTHN","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"BX6ZJKX4KTHN6CLW","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"BX6ZJKX4","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:f3be3203b09b0e7d0317b010ef8d09258a4712082a644153f9397005ca963b95","target":"graph","created_at":"2026-05-18T00:42:55Z","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":"This short article revisits some of the ideas introduced in arXiv:1701.07875 and arXiv:1705.07642 in a simple setup. This sheds some lights on the connexions between Variational Autoencoders (VAE), Generative Adversarial Networks (GAN) and Minimum Kantorovitch Estimators (MKE).","authors_text":"Aude Genevay, Gabriel Peyr\\'e, Marco Cuturi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-06-06T15:03:15Z","title":"GAN and VAE from an Optimal Transport Point of View"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.01807","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":"sha256:3bf9875626dee7df81feef72eb4f84b3a6e60054ad22e9c29cbe5ecc35c9f35f","target":"record","created_at":"2026-05-18T00:42:55Z","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":"22a085762540c78fa8f4bf4650a7f83bf990edeb4fd4a37c9b034e85ad95bd55","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-06-06T15:03:15Z","title_canon_sha256":"ab6ecb55ab19c06e78b013da1b2e65bb85a30dd2fa34989b3dd1c71b657260a3"},"schema_version":"1.0","source":{"id":"1706.01807","kind":"arxiv","version":1}},"canonical_sha256":"0dfd94aafc54cedf09768f1e8028e61bf8ae6c1b241624bfe03920c570812599","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0dfd94aafc54cedf09768f1e8028e61bf8ae6c1b241624bfe03920c570812599","first_computed_at":"2026-05-18T00:42:55.904626Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:42:55.904626Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AzHCyOL202uDnBCTMZMusvWfXrM/O9RrUZblxUMCAfEKnNBRzJW23NglIMZrVov7d2zWoG1H8pB9kiQOh+Y1AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:42:55.905325Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.01807","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3bf9875626dee7df81feef72eb4f84b3a6e60054ad22e9c29cbe5ecc35c9f35f","sha256:f3be3203b09b0e7d0317b010ef8d09258a4712082a644153f9397005ca963b95"],"state_sha256":"205addeab904ed667a05d940d6815713c66ea8ca13511d8a5f8a21676c35e1c5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+krHnlour1E3MfRPf8D4OV9B8Jqu9v8pBAv3HJFdmTwj30sR+FmQOc43cvV1F9J/N3TR0LviIWf8TYC9TrxFBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T16:24:59.048961Z","bundle_sha256":"77978f1adb40b71a19c13fceb7912e67e1aedac7cb8090fcfc26a9f470956089"}}