{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:3RTULT3TOANKPTTNHA4PK5LDKO","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":"1234137782acd4c33f1fff937dd08968ed252ac9f780d032453447159956041f","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2023-09-19T01:21:36Z","title_canon_sha256":"66481b5a6bef4f6458eff67aaea024e73fd78720e72bcebcf07ba485f98abbd2"},"schema_version":"1.0","source":{"id":"2309.10237","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.10237","created_at":"2026-07-05T06:51:53Z"},{"alias_kind":"arxiv_version","alias_value":"2309.10237v1","created_at":"2026-07-05T06:51:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.10237","created_at":"2026-07-05T06:51:53Z"},{"alias_kind":"pith_short_12","alias_value":"3RTULT3TOANK","created_at":"2026-07-05T06:51:53Z"},{"alias_kind":"pith_short_16","alias_value":"3RTULT3TOANKPTTN","created_at":"2026-07-05T06:51:53Z"},{"alias_kind":"pith_short_8","alias_value":"3RTULT3T","created_at":"2026-07-05T06:51:53Z"}],"graph_snapshots":[{"event_id":"sha256:d7c4bd7fc23b6c93ce64fb76fa43394ca394b53f7eb0a1b3ba53d8110d6036dc","target":"graph","created_at":"2026-07-05T06:51:53Z","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/2309.10237/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a family of curvature-based regularization terms for deep generative model learning. Explicit coordinate-invariant formulas for both intrinsic and extrinsic curvature measures are derived for the case of arbitrary data manifolds embedded in higher-dimensional Euclidean space. Because computing the curvature is a highly computation-intensive process involving the evaluation of second-order derivatives, efficient formulas are derived for approximately evaluating intrinsic and extrinsic curvatures. Comparative studies are conducted that compare the relative efficacy of intrinsic versus","authors_text":"Frank Chongwoo Park, Yonghyeon Lee","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2023-09-19T01:21:36Z","title":"On Explicit Curvature Regularization in Deep Generative Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.10237","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":"sha256:5bca1a7f7fc3d168e3280a9677e5d12477fe08841348e19ccea887b738bbb559","target":"record","created_at":"2026-07-05T06:51:53Z","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":"1234137782acd4c33f1fff937dd08968ed252ac9f780d032453447159956041f","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2023-09-19T01:21:36Z","title_canon_sha256":"66481b5a6bef4f6458eff67aaea024e73fd78720e72bcebcf07ba485f98abbd2"},"schema_version":"1.0","source":{"id":"2309.10237","kind":"arxiv","version":1}},"canonical_sha256":"dc6745cf73701aa7ce6d3838f575635389027f8869da295f59667f17db7eb04e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dc6745cf73701aa7ce6d3838f575635389027f8869da295f59667f17db7eb04e","first_computed_at":"2026-07-05T06:51:53.546675Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:51:53.546675Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yxrh3iYGlMAupYAHq2y6SHBNR+wtuOJwALH4NkXsLhtmmi2UCSp/aruwM5cQFdnC5EEeO/B5/xqNaWTElm5EDg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:51:53.547190Z","signed_message":"canonical_sha256_bytes"},"source_id":"2309.10237","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5bca1a7f7fc3d168e3280a9677e5d12477fe08841348e19ccea887b738bbb559","sha256:d7c4bd7fc23b6c93ce64fb76fa43394ca394b53f7eb0a1b3ba53d8110d6036dc"],"state_sha256":"5ec7aa1a95a080431bfc7908cb44faab0c123fc565a38fa2bed14b5f3399f5d4"}