{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:6FCEWZ7Z7KIAD56O4ILQITY3AJ","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":"86429e8f2862edfa9f50b1e85c7b5f637ed05f0cfe8200b6d343480f14944644","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-02-05T12:58:29Z","title_canon_sha256":"a040d434b09d6f333e8ef8277b40577a08b66baf7df00c8ab31aa16fdc4d606a"},"schema_version":"1.0","source":{"id":"2402.02977","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.02977","created_at":"2026-07-05T08:51:46Z"},{"alias_kind":"arxiv_version","alias_value":"2402.02977v4","created_at":"2026-07-05T08:51:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.02977","created_at":"2026-07-05T08:51:46Z"},{"alias_kind":"pith_short_12","alias_value":"6FCEWZ7Z7KIA","created_at":"2026-07-05T08:51:46Z"},{"alias_kind":"pith_short_16","alias_value":"6FCEWZ7Z7KIAD56O","created_at":"2026-07-05T08:51:46Z"},{"alias_kind":"pith_short_8","alias_value":"6FCEWZ7Z","created_at":"2026-07-05T08:51:46Z"}],"graph_snapshots":[{"event_id":"sha256:a7deeb226aef04de83a328c56fe2c998550d12796b183a84470f4c65f19804fe","target":"graph","created_at":"2026-07-05T08:51:46Z","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/2402.02977/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a systematic training-free method to transform the probability flow of a \"linear\" stochastic process characterized by the equation X_{t}=a_{t}X_{0}+\\sigma_{t}X_{1} into a straight constant-speed (SC) flow, reminiscent of Rectified Flow. This transformation facilitates fast sampling along the original probability flow via the Euler method without training a new model of the SC flow. The flexibility of our approach allows us to extend our transformation to inter-convert two posterior flows of two distinct linear stochastic processes. Moreover, we can easily integrate high-order numeri","authors_text":"Dang Nguyen, Duc Kieu, Dung Nguyen, Hung Le, Kien Do, Thin Nguyen, Toan Nguyen","cross_cats":["cs.AI"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-02-05T12:58:29Z","title":"Variational Flow Models: Flowing in Your Style"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.02977","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":"sha256:31b14c8e38fb66d542d538af82b5234956a748efc7a7e23e0d806abd1477195b","target":"record","created_at":"2026-07-05T08:51:46Z","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":"86429e8f2862edfa9f50b1e85c7b5f637ed05f0cfe8200b6d343480f14944644","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-02-05T12:58:29Z","title_canon_sha256":"a040d434b09d6f333e8ef8277b40577a08b66baf7df00c8ab31aa16fdc4d606a"},"schema_version":"1.0","source":{"id":"2402.02977","kind":"arxiv","version":4}},"canonical_sha256":"f1444b67f9fa9001f7cee217044f1b026cf45118a7f42283e5d5c86a1e2aae35","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f1444b67f9fa9001f7cee217044f1b026cf45118a7f42283e5d5c86a1e2aae35","first_computed_at":"2026-07-05T08:51:46.703348Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:51:46.703348Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2dyTDGUsT+zY9H5jn+/rQ9oI3x1fgACNhPbsc7ZvuqQpgYBrBs5mwvYo0Y6MByMk3r7P4niZS90soPeyMAa4Cg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:51:46.703826Z","signed_message":"canonical_sha256_bytes"},"source_id":"2402.02977","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:31b14c8e38fb66d542d538af82b5234956a748efc7a7e23e0d806abd1477195b","sha256:a7deeb226aef04de83a328c56fe2c998550d12796b183a84470f4c65f19804fe"],"state_sha256":"0f2b3778afa8d30a50ef261da5a45afeac5ec4c070dc7b1e49a6574a0ee645b9"}