{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:534DUT5H5RD5V6H7Y7BZ5NH7A6","short_pith_number":"pith:534DUT5H","canonical_record":{"source":{"id":"2001.06937","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-01-20T01:52:05Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"bc0e4f065582c7691c4fa7afa9e1fee38184eb4fd8f19ec15e356541da7257bc","abstract_canon_sha256":"a3402a11209254aecfcf034eb0ad25363336f8361422dc84fbb7d1ada92515b8"},"schema_version":"1.0"},"canonical_sha256":"eef83a4fa7ec47daf8ffc7c39eb4ff07bf4d530058c65df04f7435db876b8032","source":{"kind":"arxiv","id":"2001.06937","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2001.06937","created_at":"2026-07-05T00:34:25Z"},{"alias_kind":"arxiv_version","alias_value":"2001.06937v1","created_at":"2026-07-05T00:34:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2001.06937","created_at":"2026-07-05T00:34:25Z"},{"alias_kind":"pith_short_12","alias_value":"534DUT5H5RD5","created_at":"2026-07-05T00:34:25Z"},{"alias_kind":"pith_short_16","alias_value":"534DUT5H5RD5V6H7","created_at":"2026-07-05T00:34:25Z"},{"alias_kind":"pith_short_8","alias_value":"534DUT5H","created_at":"2026-07-05T00:34:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:534DUT5H5RD5V6H7Y7BZ5NH7A6","target":"record","payload":{"canonical_record":{"source":{"id":"2001.06937","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-01-20T01:52:05Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"bc0e4f065582c7691c4fa7afa9e1fee38184eb4fd8f19ec15e356541da7257bc","abstract_canon_sha256":"a3402a11209254aecfcf034eb0ad25363336f8361422dc84fbb7d1ada92515b8"},"schema_version":"1.0"},"canonical_sha256":"eef83a4fa7ec47daf8ffc7c39eb4ff07bf4d530058c65df04f7435db876b8032","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:34:25.976885Z","signature_b64":"9EhtbGrcDrMfV7RjXhD8Dc4jTbpJ2VQ9mmZ2VU8dr2ExnkHngYlxH8IVu9jYOOduGiBDiej3TiC3u9Y/QtMGCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eef83a4fa7ec47daf8ffc7c39eb4ff07bf4d530058c65df04f7435db876b8032","last_reissued_at":"2026-07-05T00:34:25.976513Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:34:25.976513Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2001.06937","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":"2026-07-05T00:34:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gLsHv7HO2j/V+xD8UKOwySEawXv6Ynv1Ye08LoE1K61JtAcglsQFubH+OrOGQMJBesUumB54EoEQ4XZNDwbSBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T18:48:42.360182Z"},"content_sha256":"322fd8753061f2fc66377d815403272a7e324e5178b3916f427068302719cbc4","schema_version":"1.0","event_id":"sha256:322fd8753061f2fc66377d815403272a7e324e5178b3916f427068302719cbc4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:534DUT5H5RD5V6H7Y7BZ5NH7A6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Review on Generative Adversarial Networks: Algorithms, Theory, and Applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"cs.LG","authors_text":"Dacheng Tao, Jie Gui, Jieping Ye, Yonggang Wen, Zhenan Sun","submitted_at":"2020-01-20T01:52:05Z","abstract_excerpt":"Generative adversarial networks (GANs) are a hot research topic recently. GANs have been widely studied since 2014, and a large number of algorithms have been proposed. However, there is few comprehensive study explaining the connections among different GANs variants, and how they have evolved. In this paper, we attempt to provide a review on various GANs methods from the perspectives of algorithms, theory, and applications. Firstly, the motivations, mathematical representations, and structure of most GANs algorithms are introduced in details. Furthermore, GANs have been combined with other ma"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2001.06937","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2001.06937/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T00:34:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DlxWnx7D7KwssPHq30iqfYx4VLhEKe7Elap6/IiPoikLY4LevLP+Hn3UEp5Nn1Pfw9dR537tWibNpiNamFiJCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T18:48:42.360731Z"},"content_sha256":"67f17ff3d3457a8d367948535c35a93e24face2647cacbf6a866bb59486c9fe4","schema_version":"1.0","event_id":"sha256:67f17ff3d3457a8d367948535c35a93e24face2647cacbf6a866bb59486c9fe4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/534DUT5H5RD5V6H7Y7BZ5NH7A6/bundle.json","state_url":"https://pith.science/pith/534DUT5H5RD5V6H7Y7BZ5NH7A6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/534DUT5H5RD5V6H7Y7BZ5NH7A6/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":"2026-08-10T18:48:42Z","links":{"resolver":"https://pith.science/pith/534DUT5H5RD5V6H7Y7BZ5NH7A6","bundle":"https://pith.science/pith/534DUT5H5RD5V6H7Y7BZ5NH7A6/bundle.json","state":"https://pith.science/pith/534DUT5H5RD5V6H7Y7BZ5NH7A6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/534DUT5H5RD5V6H7Y7BZ5NH7A6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:534DUT5H5RD5V6H7Y7BZ5NH7A6","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":"a3402a11209254aecfcf034eb0ad25363336f8361422dc84fbb7d1ada92515b8","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-01-20T01:52:05Z","title_canon_sha256":"bc0e4f065582c7691c4fa7afa9e1fee38184eb4fd8f19ec15e356541da7257bc"},"schema_version":"1.0","source":{"id":"2001.06937","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2001.06937","created_at":"2026-07-05T00:34:25Z"},{"alias_kind":"arxiv_version","alias_value":"2001.06937v1","created_at":"2026-07-05T00:34:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2001.06937","created_at":"2026-07-05T00:34:25Z"},{"alias_kind":"pith_short_12","alias_value":"534DUT5H5RD5","created_at":"2026-07-05T00:34:25Z"},{"alias_kind":"pith_short_16","alias_value":"534DUT5H5RD5V6H7","created_at":"2026-07-05T00:34:25Z"},{"alias_kind":"pith_short_8","alias_value":"534DUT5H","created_at":"2026-07-05T00:34:25Z"}],"graph_snapshots":[{"event_id":"sha256:67f17ff3d3457a8d367948535c35a93e24face2647cacbf6a866bb59486c9fe4","target":"graph","created_at":"2026-07-05T00:34:25Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2001.06937/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Generative adversarial networks (GANs) are a hot research topic recently. GANs have been widely studied since 2014, and a large number of algorithms have been proposed. However, there is few comprehensive study explaining the connections among different GANs variants, and how they have evolved. In this paper, we attempt to provide a review on various GANs methods from the perspectives of algorithms, theory, and applications. Firstly, the motivations, mathematical representations, and structure of most GANs algorithms are introduced in details. Furthermore, GANs have been combined with other ma","authors_text":"Dacheng Tao, Jie Gui, Jieping Ye, Yonggang Wen, Zhenan Sun","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-01-20T01:52:05Z","title":"A Review on Generative Adversarial Networks: Algorithms, Theory, and Applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2001.06937","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":"sha256:322fd8753061f2fc66377d815403272a7e324e5178b3916f427068302719cbc4","target":"record","created_at":"2026-07-05T00:34:25Z","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":"a3402a11209254aecfcf034eb0ad25363336f8361422dc84fbb7d1ada92515b8","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-01-20T01:52:05Z","title_canon_sha256":"bc0e4f065582c7691c4fa7afa9e1fee38184eb4fd8f19ec15e356541da7257bc"},"schema_version":"1.0","source":{"id":"2001.06937","kind":"arxiv","version":1}},"canonical_sha256":"eef83a4fa7ec47daf8ffc7c39eb4ff07bf4d530058c65df04f7435db876b8032","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eef83a4fa7ec47daf8ffc7c39eb4ff07bf4d530058c65df04f7435db876b8032","first_computed_at":"2026-07-05T00:34:25.976513Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:34:25.976513Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9EhtbGrcDrMfV7RjXhD8Dc4jTbpJ2VQ9mmZ2VU8dr2ExnkHngYlxH8IVu9jYOOduGiBDiej3TiC3u9Y/QtMGCw==","signature_status":"signed_v1","signed_at":"2026-07-05T00:34:25.976885Z","signed_message":"canonical_sha256_bytes"},"source_id":"2001.06937","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:322fd8753061f2fc66377d815403272a7e324e5178b3916f427068302719cbc4","sha256:67f17ff3d3457a8d367948535c35a93e24face2647cacbf6a866bb59486c9fe4"],"state_sha256":"dc065b327bf806ca3435d9d629bf57bdb261cab8b16af6913aad4a8e5fb4a710"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ENclSv18fwfyIEt706WsVdANCLdASamW5oB0IzFofKlKGICaa+5VCjuHgcqOyjcvPC4/RuHohBxsDLoCzB6YBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T18:48:42.366464Z","bundle_sha256":"95407e6c3218fbb1807b3f7c075aa2c915a1717e6ab3f236b0634d4ca2d515c7"}}