{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:F4XL67RX4R6KCZIYQBQ4WU6SCL","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":"2d5118949be7e6c15737d078a3fd4c3cc7be03503f95158158d681bf1ba77193","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2022-07-07T00:35:04Z","title_canon_sha256":"7b0f7d2d383fe590b28af4aef2cf4a113f1166cc9d60f038c6250351a4448e0b"},"schema_version":"1.0","source":{"id":"2207.03024","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.03024","created_at":"2026-07-05T04:38:18Z"},{"alias_kind":"arxiv_version","alias_value":"2207.03024v1","created_at":"2026-07-05T04:38:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.03024","created_at":"2026-07-05T04:38:18Z"},{"alias_kind":"pith_short_12","alias_value":"F4XL67RX4R6K","created_at":"2026-07-05T04:38:18Z"},{"alias_kind":"pith_short_16","alias_value":"F4XL67RX4R6KCZIY","created_at":"2026-07-05T04:38:18Z"},{"alias_kind":"pith_short_8","alias_value":"F4XL67RX","created_at":"2026-07-05T04:38:18Z"}],"graph_snapshots":[{"event_id":"sha256:1b01adefc5a27f6fdb30a79e473d4c62f0379afc88f8628903bb994bede0a17f","target":"graph","created_at":"2026-07-05T04:38:18Z","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/2207.03024/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Score-based generative models exhibit state of the art performance on density estimation and generative modeling tasks. These models typically assume that the data geometry is flat, yet recent extensions have been developed to synthesize data living on Riemannian manifolds. Existing methods to accelerate sampling of diffusion models are typically not applicable in the Riemannian setting and Riemannian score-based methods have not yet been adapted to the important task of interpolation of datasets. To overcome these issues, we introduce \\emph{Riemannian Diffusion Schr\\\"odinger Bridge}. Our prop","authors_text":"Arnaud Doucet, Emile Mathieu, James Thornton, Michael Hutchinson, Valentin De Bortoli, Yee Whye Teh","cross_cats":["cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2022-07-07T00:35:04Z","title":"Riemannian Diffusion Schr\\\"odinger Bridge"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.03024","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":"sha256:2ff7823564a032f6659e87294dfc75a1c7017760b955053f189e521bf0f7e236","target":"record","created_at":"2026-07-05T04:38:18Z","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":"2d5118949be7e6c15737d078a3fd4c3cc7be03503f95158158d681bf1ba77193","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2022-07-07T00:35:04Z","title_canon_sha256":"7b0f7d2d383fe590b28af4aef2cf4a113f1166cc9d60f038c6250351a4448e0b"},"schema_version":"1.0","source":{"id":"2207.03024","kind":"arxiv","version":1}},"canonical_sha256":"2f2ebf7e37e47ca165188061cb53d212c97caaac264529bf78e4ad2bf9b52a33","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2f2ebf7e37e47ca165188061cb53d212c97caaac264529bf78e4ad2bf9b52a33","first_computed_at":"2026-07-05T04:38:18.091172Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:38:18.091172Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dHPKLWuzxj0DWjfCzJNyWvpe2Ouu6O4DxlEgRqES0ULZ96cce4Fw7stEDO9PA/Vt/WbfhuLRs8i3ahmYGAI7BA==","signature_status":"signed_v1","signed_at":"2026-07-05T04:38:18.091596Z","signed_message":"canonical_sha256_bytes"},"source_id":"2207.03024","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2ff7823564a032f6659e87294dfc75a1c7017760b955053f189e521bf0f7e236","sha256:1b01adefc5a27f6fdb30a79e473d4c62f0379afc88f8628903bb994bede0a17f"],"state_sha256":"2d92040914731240ac3982f446f13e894bf64fcdf79f79bc69daa99710217351"}