{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:BTZAJN6DGF4CT3L2INTXIAY555","short_pith_number":"pith:BTZAJN6D","canonical_record":{"source":{"id":"1901.08553","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-01-20T18:48:14Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"39ba236878f3c046ce07680c065f07cfcf497c8686c4d5369d5f50a4a4fe8a1e","abstract_canon_sha256":"b3b84d485d563e74e65d336b3f223a9ceff1e1f988f79c71c66c0a09d6814fe7"},"schema_version":"1.0"},"canonical_sha256":"0cf204b7c3317829ed7a436774031def5c2e8cd809b34316e7f7b51d2786a570","source":{"kind":"arxiv","id":"1901.08553","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.08553","created_at":"2026-05-17T23:55:35Z"},{"alias_kind":"arxiv_version","alias_value":"1901.08553v1","created_at":"2026-05-17T23:55:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.08553","created_at":"2026-05-17T23:55:35Z"},{"alias_kind":"pith_short_12","alias_value":"BTZAJN6DGF4C","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"BTZAJN6DGF4CT3L2","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"BTZAJN6D","created_at":"2026-05-18T12:33:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:BTZAJN6DGF4CT3L2INTXIAY555","target":"record","payload":{"canonical_record":{"source":{"id":"1901.08553","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-01-20T18:48:14Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"39ba236878f3c046ce07680c065f07cfcf497c8686c4d5369d5f50a4a4fe8a1e","abstract_canon_sha256":"b3b84d485d563e74e65d336b3f223a9ceff1e1f988f79c71c66c0a09d6814fe7"},"schema_version":"1.0"},"canonical_sha256":"0cf204b7c3317829ed7a436774031def5c2e8cd809b34316e7f7b51d2786a570","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:55:35.179761Z","signature_b64":"Ms+2Xl2bZ17IP+kIytpBhFlbYiegrt2BTEbbsr7I3WCe3c0CSHKvs1hDQTtVquPck0EQ+AHu5p9ehwI3YMW1AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0cf204b7c3317829ed7a436774031def5c2e8cd809b34316e7f7b51d2786a570","last_reissued_at":"2026-05-17T23:55:35.179198Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:55:35.179198Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1901.08553","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":"2026-05-17T23:55:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y5F8i6Gbqu2v82yXvA+cVKtGte1VhYB22SdaM/FmyU5CDLcU9Qf/sEF9v1dNstx7de8RxX1A96S6mCzTGP6OAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T13:39:08.304758Z"},"content_sha256":"1b32c09de369e8a396365ad630ab2057bfb3f755d7132ffd2115251b049a4f70","schema_version":"1.0","event_id":"sha256:1b32c09de369e8a396365ad630ab2057bfb3f755d7132ffd2115251b049a4f70"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:BTZAJN6DGF4CT3L2INTXIAY555","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Data Interpolations in Deep Generative Models under Non-Simply-Connected Manifold Topology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"cs.LG","authors_text":"Byoung-Tak Zhang, Jiseob Kim","submitted_at":"2019-01-20T18:48:14Z","abstract_excerpt":"Exploiting the deep generative model's remarkable ability of learning the data-manifold structure, some recent researches proposed a geometric data interpolation method based on the geodesic curves on the learned data-manifold. However, this interpolation method often gives poor results due to a topological difference between the model and the dataset. The model defines a family of simply-connected manifolds, whereas the dataset generally contains disconnected regions or holes that make them non-simply-connected. To compensate this difference, we propose a novel density regularizer that make t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.08553","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":"2026-05-17T23:55:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oU9gwNLsR+6UzmxrWyukXLe6ZArFHtHKBH6s05BmA5WNtfHcX6CtSAxPfjXQ5ND17elOtIF3i0SkanrZTtIoBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T13:39:08.305304Z"},"content_sha256":"11bfd43464f206f3c5aa56d79387dc6ef1ad6127d65720b3173da6b1fe0f6e0a","schema_version":"1.0","event_id":"sha256:11bfd43464f206f3c5aa56d79387dc6ef1ad6127d65720b3173da6b1fe0f6e0a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BTZAJN6DGF4CT3L2INTXIAY555/bundle.json","state_url":"https://pith.science/pith/BTZAJN6DGF4CT3L2INTXIAY555/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BTZAJN6DGF4CT3L2INTXIAY555/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":"2026-06-08T13:39:08Z","links":{"resolver":"https://pith.science/pith/BTZAJN6DGF4CT3L2INTXIAY555","bundle":"https://pith.science/pith/BTZAJN6DGF4CT3L2INTXIAY555/bundle.json","state":"https://pith.science/pith/BTZAJN6DGF4CT3L2INTXIAY555/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BTZAJN6DGF4CT3L2INTXIAY555/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:BTZAJN6DGF4CT3L2INTXIAY555","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":"b3b84d485d563e74e65d336b3f223a9ceff1e1f988f79c71c66c0a09d6814fe7","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-01-20T18:48:14Z","title_canon_sha256":"39ba236878f3c046ce07680c065f07cfcf497c8686c4d5369d5f50a4a4fe8a1e"},"schema_version":"1.0","source":{"id":"1901.08553","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.08553","created_at":"2026-05-17T23:55:35Z"},{"alias_kind":"arxiv_version","alias_value":"1901.08553v1","created_at":"2026-05-17T23:55:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.08553","created_at":"2026-05-17T23:55:35Z"},{"alias_kind":"pith_short_12","alias_value":"BTZAJN6DGF4C","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"BTZAJN6DGF4CT3L2","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"BTZAJN6D","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:11bfd43464f206f3c5aa56d79387dc6ef1ad6127d65720b3173da6b1fe0f6e0a","target":"graph","created_at":"2026-05-17T23:55:35Z","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":"Exploiting the deep generative model's remarkable ability of learning the data-manifold structure, some recent researches proposed a geometric data interpolation method based on the geodesic curves on the learned data-manifold. However, this interpolation method often gives poor results due to a topological difference between the model and the dataset. The model defines a family of simply-connected manifolds, whereas the dataset generally contains disconnected regions or holes that make them non-simply-connected. To compensate this difference, we propose a novel density regularizer that make t","authors_text":"Byoung-Tak Zhang, Jiseob Kim","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-01-20T18:48:14Z","title":"Data Interpolations in Deep Generative Models under Non-Simply-Connected Manifold Topology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.08553","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":"sha256:1b32c09de369e8a396365ad630ab2057bfb3f755d7132ffd2115251b049a4f70","target":"record","created_at":"2026-05-17T23:55:35Z","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":"b3b84d485d563e74e65d336b3f223a9ceff1e1f988f79c71c66c0a09d6814fe7","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-01-20T18:48:14Z","title_canon_sha256":"39ba236878f3c046ce07680c065f07cfcf497c8686c4d5369d5f50a4a4fe8a1e"},"schema_version":"1.0","source":{"id":"1901.08553","kind":"arxiv","version":1}},"canonical_sha256":"0cf204b7c3317829ed7a436774031def5c2e8cd809b34316e7f7b51d2786a570","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0cf204b7c3317829ed7a436774031def5c2e8cd809b34316e7f7b51d2786a570","first_computed_at":"2026-05-17T23:55:35.179198Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:35.179198Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ms+2Xl2bZ17IP+kIytpBhFlbYiegrt2BTEbbsr7I3WCe3c0CSHKvs1hDQTtVquPck0EQ+AHu5p9ehwI3YMW1AA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:35.179761Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.08553","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1b32c09de369e8a396365ad630ab2057bfb3f755d7132ffd2115251b049a4f70","sha256:11bfd43464f206f3c5aa56d79387dc6ef1ad6127d65720b3173da6b1fe0f6e0a"],"state_sha256":"ed635aae99bef2011a997b78d4d151aaa4871cdaa2d7f265f4e5be37e374d662"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dZa9weCy/Ij11AYgF2kLCePZANcwXgJs+VVxFhf7SnS7PU/ZDgwXXPWqR/MuG3OMfZNvpQjTJBwvhm8lemUcDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T13:39:08.308033Z","bundle_sha256":"fe1a9cbe024afb635e4e60d00c8d3cdd5f8ffbd0da1451d93cd23e2354f2e998"}}