{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:H6Z7K6IBNEFF7ABP7LLKLXVKLT","short_pith_number":"pith:H6Z7K6IB","canonical_record":{"source":{"id":"1811.07296","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2018-11-18T08:36:03Z","cross_cats_sorted":["cs.CV","stat.ML"],"title_canon_sha256":"f35bff44154de7e3fc50b3a84e5cf42aed6cde476cc3157d3103e6361ea3c59a","abstract_canon_sha256":"6d781900195ca914e276e7ec218812243d4d5d935828a115e5ec8949468b716c"},"schema_version":"1.0"},"canonical_sha256":"3fb3f57901690a5f802ffad6a5deaa5ced85836ab75df1dc44835d2ac014fd13","source":{"kind":"arxiv","id":"1811.07296","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.07296","created_at":"2026-05-17T23:58:13Z"},{"alias_kind":"arxiv_version","alias_value":"1811.07296v4","created_at":"2026-05-17T23:58:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.07296","created_at":"2026-05-17T23:58:13Z"},{"alias_kind":"pith_short_12","alias_value":"H6Z7K6IBNEFF","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"H6Z7K6IBNEFF7ABP","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"H6Z7K6IB","created_at":"2026-05-18T12:32:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:H6Z7K6IBNEFF7ABP7LLKLXVKLT","target":"record","payload":{"canonical_record":{"source":{"id":"1811.07296","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2018-11-18T08:36:03Z","cross_cats_sorted":["cs.CV","stat.ML"],"title_canon_sha256":"f35bff44154de7e3fc50b3a84e5cf42aed6cde476cc3157d3103e6361ea3c59a","abstract_canon_sha256":"6d781900195ca914e276e7ec218812243d4d5d935828a115e5ec8949468b716c"},"schema_version":"1.0"},"canonical_sha256":"3fb3f57901690a5f802ffad6a5deaa5ced85836ab75df1dc44835d2ac014fd13","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:58:13.423086Z","signature_b64":"Rq5JFWmlvp7WsF1gGSemNFJZNCI3fqLjyo8OV97TLxa2iWo8oQYFbizTuY1NuXhRVhDmBzrcYfWG8rp8Lo/cDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3fb3f57901690a5f802ffad6a5deaa5ced85836ab75df1dc44835d2ac014fd13","last_reissued_at":"2026-05-17T23:58:13.422667Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:58:13.422667Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.07296","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:58:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FoQi3bKbr4aoQMTji+v2jW31MpYGFD6Qhoe/7jJI2p5WARXnd8YukK85IHSxWND90jI+bJ4Eef9owhbjlXckBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T19:05:59.190190Z"},"content_sha256":"d698bf5fa213cb3b7e2a795049acff5880f5378f62a9b37a3f2a85334ab60e80","schema_version":"1.0","event_id":"sha256:d698bf5fa213cb3b7e2a795049acff5880f5378f62a9b37a3f2a85334ab60e80"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:H6Z7K6IBNEFF7ABP7LLKLXVKLT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"GAN-QP: A Novel GAN Framework without Gradient Vanishing and Lipschitz Constraint","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["cs.CV","stat.ML"],"primary_cat":"cs.LG","authors_text":"Jianlin Su","submitted_at":"2018-11-18T08:36:03Z","abstract_excerpt":"We know SGAN may have a risk of gradient vanishing. A significant improvement is WGAN, with the help of 1-Lipschitz constraint on discriminator to prevent from gradient vanishing. Is there any GAN having no gradient vanishing and no 1-Lipschitz constraint on discriminator? We do find one, called GAN-QP.\n  To construct a new framework of Generative Adversarial Network (GAN) usually includes three steps: 1. choose a probability divergence; 2. convert it into a dual form; 3. play a min-max game. In this articles, we demonstrate that the first step is not necessary. We can analyse the property of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.07296","kind":"arxiv","version":4},"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":"2026-05-17T23:58:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g+e5JG0i+FZb3Ok3D14cjlCL8r3ct0obUlfwqe7hv4NBgHb4pbfkRhD5cL8DQxkZflBA1ZC2IcbAvWgu2XdfBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T19:05:59.190956Z"},"content_sha256":"6a4f88474183a368450b67a13e4f298be0e999900f3c8c1b49bf1ba60d332b09","schema_version":"1.0","event_id":"sha256:6a4f88474183a368450b67a13e4f298be0e999900f3c8c1b49bf1ba60d332b09"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/H6Z7K6IBNEFF7ABP7LLKLXVKLT/bundle.json","state_url":"https://pith.science/pith/H6Z7K6IBNEFF7ABP7LLKLXVKLT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/H6Z7K6IBNEFF7ABP7LLKLXVKLT/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":"2026-06-09T19:05:59Z","links":{"resolver":"https://pith.science/pith/H6Z7K6IBNEFF7ABP7LLKLXVKLT","bundle":"https://pith.science/pith/H6Z7K6IBNEFF7ABP7LLKLXVKLT/bundle.json","state":"https://pith.science/pith/H6Z7K6IBNEFF7ABP7LLKLXVKLT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/H6Z7K6IBNEFF7ABP7LLKLXVKLT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:H6Z7K6IBNEFF7ABP7LLKLXVKLT","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":"6d781900195ca914e276e7ec218812243d4d5d935828a115e5ec8949468b716c","cross_cats_sorted":["cs.CV","stat.ML"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2018-11-18T08:36:03Z","title_canon_sha256":"f35bff44154de7e3fc50b3a84e5cf42aed6cde476cc3157d3103e6361ea3c59a"},"schema_version":"1.0","source":{"id":"1811.07296","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.07296","created_at":"2026-05-17T23:58:13Z"},{"alias_kind":"arxiv_version","alias_value":"1811.07296v4","created_at":"2026-05-17T23:58:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.07296","created_at":"2026-05-17T23:58:13Z"},{"alias_kind":"pith_short_12","alias_value":"H6Z7K6IBNEFF","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"H6Z7K6IBNEFF7ABP","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"H6Z7K6IB","created_at":"2026-05-18T12:32:28Z"}],"graph_snapshots":[{"event_id":"sha256:6a4f88474183a368450b67a13e4f298be0e999900f3c8c1b49bf1ba60d332b09","target":"graph","created_at":"2026-05-17T23:58:13Z","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":"We know SGAN may have a risk of gradient vanishing. A significant improvement is WGAN, with the help of 1-Lipschitz constraint on discriminator to prevent from gradient vanishing. Is there any GAN having no gradient vanishing and no 1-Lipschitz constraint on discriminator? We do find one, called GAN-QP.\n  To construct a new framework of Generative Adversarial Network (GAN) usually includes three steps: 1. choose a probability divergence; 2. convert it into a dual form; 3. play a min-max game. In this articles, we demonstrate that the first step is not necessary. We can analyse the property of ","authors_text":"Jianlin Su","cross_cats":["cs.CV","stat.ML"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2018-11-18T08:36:03Z","title":"GAN-QP: A Novel GAN Framework without Gradient Vanishing and Lipschitz Constraint"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.07296","kind":"arxiv","version":4},"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:d698bf5fa213cb3b7e2a795049acff5880f5378f62a9b37a3f2a85334ab60e80","target":"record","created_at":"2026-05-17T23:58:13Z","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":"6d781900195ca914e276e7ec218812243d4d5d935828a115e5ec8949468b716c","cross_cats_sorted":["cs.CV","stat.ML"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2018-11-18T08:36:03Z","title_canon_sha256":"f35bff44154de7e3fc50b3a84e5cf42aed6cde476cc3157d3103e6361ea3c59a"},"schema_version":"1.0","source":{"id":"1811.07296","kind":"arxiv","version":4}},"canonical_sha256":"3fb3f57901690a5f802ffad6a5deaa5ced85836ab75df1dc44835d2ac014fd13","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3fb3f57901690a5f802ffad6a5deaa5ced85836ab75df1dc44835d2ac014fd13","first_computed_at":"2026-05-17T23:58:13.422667Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:58:13.422667Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Rq5JFWmlvp7WsF1gGSemNFJZNCI3fqLjyo8OV97TLxa2iWo8oQYFbizTuY1NuXhRVhDmBzrcYfWG8rp8Lo/cDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:58:13.423086Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.07296","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d698bf5fa213cb3b7e2a795049acff5880f5378f62a9b37a3f2a85334ab60e80","sha256:6a4f88474183a368450b67a13e4f298be0e999900f3c8c1b49bf1ba60d332b09"],"state_sha256":"5b750497b138becf804dd1c7268579c2d03708db1a4107eaf9806edd1fcac9e6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"95A78OWtwiLXamNGN7yNq4LR1ImqH+o5OUHnqCizZTFL3aLVSApO3t7f8Nxx/UO/3yA4UROZKBAt2iABnKRCBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T19:05:59.195230Z","bundle_sha256":"4663b159b85235ce3108db16feb6edc82f373970ad41ea27cf03ec963aa3399d"}}