{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:4BCGX2BRJ7DMH7L6LXIUUQQLPZ","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":"d54f800b8d8b38d34632ac5bcf76c3728a75b2681e847a2d1b607a44d9951191","cross_cats_sorted":["cs.LG","stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CV","submitted_at":"2023-05-31T15:33:16Z","title_canon_sha256":"29e6e70a26c461201525f4eb567be88ecb06639d11971bf49aae2868c15404fc"},"schema_version":"1.0","source":{"id":"2305.19947","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.19947","created_at":"2026-07-05T08:58:19Z"},{"alias_kind":"arxiv_version","alias_value":"2305.19947v3","created_at":"2026-07-05T08:58:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.19947","created_at":"2026-07-05T08:58:19Z"},{"alias_kind":"pith_short_12","alias_value":"4BCGX2BRJ7DM","created_at":"2026-07-05T08:58:19Z"},{"alias_kind":"pith_short_16","alias_value":"4BCGX2BRJ7DMH7L6","created_at":"2026-07-05T08:58:19Z"},{"alias_kind":"pith_short_8","alias_value":"4BCGX2BR","created_at":"2026-07-05T08:58:19Z"}],"graph_snapshots":[{"event_id":"sha256:837606b195f0c7c123ff602b2c5bdc83d5c19688cd94bb9c7afd4d9e39bcf709","target":"graph","created_at":"2026-07-05T08:58:19Z","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/2305.19947/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recent years have witnessed significant progress in developing effective training and fast sampling techniques for diffusion models. A remarkable advancement is the use of stochastic differential equations (SDEs) and their marginal-preserving ordinary differential equations (ODEs) to describe data perturbation and generative modeling in a unified framework. In this paper, we carefully inspect the ODE-based sampling of a popular variance-exploding SDE and reveal several intriguing structures of its sampling dynamics. We discover that the data distribution and the noise distribution are smoothly","authors_text":"Can Wang, Chun Chen, Chunhua Shen, Defang Chen, Jian-Ping Mei, Zhenyu Zhou","cross_cats":["cs.LG","stat.ML"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CV","submitted_at":"2023-05-31T15:33:16Z","title":"A Geometric Perspective on Diffusion Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.19947","kind":"arxiv","version":3},"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":"sha256:343730678f3947d8daa53c31e1589f093435673924a7732ab035714bf8987d2f","target":"record","created_at":"2026-07-05T08:58:19Z","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":"d54f800b8d8b38d34632ac5bcf76c3728a75b2681e847a2d1b607a44d9951191","cross_cats_sorted":["cs.LG","stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CV","submitted_at":"2023-05-31T15:33:16Z","title_canon_sha256":"29e6e70a26c461201525f4eb567be88ecb06639d11971bf49aae2868c15404fc"},"schema_version":"1.0","source":{"id":"2305.19947","kind":"arxiv","version":3}},"canonical_sha256":"e0446be8314fc6c3fd7e5dd14a420b7e7616825c06147208be39b5f7ef63789b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e0446be8314fc6c3fd7e5dd14a420b7e7616825c06147208be39b5f7ef63789b","first_computed_at":"2026-07-05T08:58:19.656704Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:58:19.656704Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2U85EasaemYXB+imvt85HV28F6g/X7HRGnB88kZlzqgbXKIjkwSA6huewODEucs4Ju6cBX3Gutdi0Iv6IqSfBw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:58:19.657241Z","signed_message":"canonical_sha256_bytes"},"source_id":"2305.19947","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:343730678f3947d8daa53c31e1589f093435673924a7732ab035714bf8987d2f","sha256:837606b195f0c7c123ff602b2c5bdc83d5c19688cd94bb9c7afd4d9e39bcf709"],"state_sha256":"e74ffcea000128f058f69ba49f7a94f219f5c1c5bdb28f9d3cb50c70b852414e"}