{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:M3SPIKVT6VAIEPPILMFJQY2WSC","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":"2aca226339651cc9ca6a0a544952baf2b24203e199ab27e22e7b74b4cf1fac7d","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2024-10-03T14:53:10Z","title_canon_sha256":"fbfdf64f072e3f51329577635f11ede5db594314534444ee6b2a467d4730d5bd"},"schema_version":"1.0","source":{"id":"2410.02548","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.02548","created_at":"2026-06-23T02:13:13Z"},{"alias_kind":"arxiv_version","alias_value":"2410.02548v4","created_at":"2026-06-23T02:13:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.02548","created_at":"2026-06-23T02:13:13Z"},{"alias_kind":"pith_short_12","alias_value":"M3SPIKVT6VAI","created_at":"2026-06-23T02:13:13Z"},{"alias_kind":"pith_short_16","alias_value":"M3SPIKVT6VAIEPPI","created_at":"2026-06-23T02:13:13Z"},{"alias_kind":"pith_short_8","alias_value":"M3SPIKVT","created_at":"2026-06-23T02:13:13Z"}],"graph_snapshots":[{"event_id":"sha256:c9b48a603ed36da027144b7f81f41e0b94eb31e7971282584e5217c42f8957a2","target":"graph","created_at":"2026-06-23T02:13:13Z","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/2410.02548/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Flow Matching (FM) is a simulation-free method for learning a continuous, invertible flow that interpolates between two distributions, and in particular generates data from noise. Inspired by the variational nature of the diffusion process as a gradient flow, we introduce a stepwise FM model, Local Flow Matching (LFM), which sequentially learns a sequence of FM submodels, each matching a diffusion process up to the time-step size in the data-to-noise direction. In each step, the two distributions to be interpolated by the sub-flow model are closer than those in the full-flow matching model, wh","authors_text":"Chen Xu, Xiuyuan Cheng, Yao Xie","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2024-10-03T14:53:10Z","title":"Local Flow Matching Generative Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.02548","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":"sha256:79a1ffc3894ce5031b5f9cb47a53486ff7a1c34e0e5d4e16776438df90d769f3","target":"record","created_at":"2026-06-23T02:13:13Z","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":"2aca226339651cc9ca6a0a544952baf2b24203e199ab27e22e7b74b4cf1fac7d","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2024-10-03T14:53:10Z","title_canon_sha256":"fbfdf64f072e3f51329577635f11ede5db594314534444ee6b2a467d4730d5bd"},"schema_version":"1.0","source":{"id":"2410.02548","kind":"arxiv","version":4}},"canonical_sha256":"66e4f42ab3f540823de85b0a98635690b043eb863f60094a9af95b0ddabdd376","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"66e4f42ab3f540823de85b0a98635690b043eb863f60094a9af95b0ddabdd376","first_computed_at":"2026-06-23T02:13:13.186954Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-23T02:13:13.186954Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Cy0rF82dcVK+XxBgWp2E5TzqJN7NNqztahBwS64BWUXFFsjMSd8HnUCdonkQ8uMiXjmppBQO9715JOk5s9VLDw==","signature_status":"signed_v1","signed_at":"2026-06-23T02:13:13.187446Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.02548","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:79a1ffc3894ce5031b5f9cb47a53486ff7a1c34e0e5d4e16776438df90d769f3","sha256:c9b48a603ed36da027144b7f81f41e0b94eb31e7971282584e5217c42f8957a2"],"state_sha256":"3401d37edc920f1ab9fce2f9ce03ac47924d3c818a36a1692aa12a7e5e801eb6"}