{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:PN2PGUNGURTNSUBZTU2A2HPY5M","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":"75e89c75ee14222d7e6eae912fef91023a7b65ee44e4f437a02b9537e61cfd31","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-06-18T20:22:48Z","title_canon_sha256":"3276f07d5540c8257c94edf15865b08334ff7728c774d66ca9d1b7124a37eaed"},"schema_version":"1.0","source":{"id":"2506.15864","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.15864","created_at":"2026-06-30T01:18:17Z"},{"alias_kind":"arxiv_version","alias_value":"2506.15864v2","created_at":"2026-06-30T01:18:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.15864","created_at":"2026-06-30T01:18:17Z"},{"alias_kind":"pith_short_12","alias_value":"PN2PGUNGURTN","created_at":"2026-06-30T01:18:17Z"},{"alias_kind":"pith_short_16","alias_value":"PN2PGUNGURTNSUBZ","created_at":"2026-06-30T01:18:17Z"},{"alias_kind":"pith_short_8","alias_value":"PN2PGUNG","created_at":"2026-06-30T01:18:17Z"}],"graph_snapshots":[{"event_id":"sha256:b1103298135cede27c673326ddde985c8cd6743337d1191796ef27b5c38e8005","target":"graph","created_at":"2026-06-30T01:18:17Z","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/2506.15864/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Rectified Flow offers a simple and effective approach to high-quality generative modeling by learning a velocity field. However, we identify a limitation in directly modeling the velocity with an unconstrained neural network: the learned velocity often fails to satisfy certain boundary conditions, leading to inaccurate velocity field estimations that deviate from the desired ODE. This issue is particularly critical during stochastic sampling at inference, as the score function's errors are amplified near the boundary. To mitigate this, we propose a Boundary-enforced Rectified Flow Model (Bound","authors_text":"Bo Liu, Eugene Ie, Hongliang Fei, Keyang Xu, Qiang Liu, Runlong Liao, Xixi Hu, Yeqing Li","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-06-18T20:22:48Z","title":"Improving Rectified Flow with Boundary Conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.15864","kind":"arxiv","version":2},"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:d798dd5ce71c0c7740509b4a09115f8d626ce2fbe4f9fa388ebba08feca403e5","target":"record","created_at":"2026-06-30T01:18:17Z","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":"75e89c75ee14222d7e6eae912fef91023a7b65ee44e4f437a02b9537e61cfd31","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-06-18T20:22:48Z","title_canon_sha256":"3276f07d5540c8257c94edf15865b08334ff7728c774d66ca9d1b7124a37eaed"},"schema_version":"1.0","source":{"id":"2506.15864","kind":"arxiv","version":2}},"canonical_sha256":"7b74f351a6a466d950399d340d1df8eb1af78b9a9830b78483df7526b013d06d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7b74f351a6a466d950399d340d1df8eb1af78b9a9830b78483df7526b013d06d","first_computed_at":"2026-06-30T01:18:17.587284Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-30T01:18:17.587284Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PIK5eC9vw0yEFDjlFzP2uLSf37GrxV6jgQ6ZBo59muowqa62QNB1OpbXuHdsuhIIYx0ztYQWLy9R2d11b7RYAQ==","signature_status":"signed_v1","signed_at":"2026-06-30T01:18:17.587893Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.15864","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d798dd5ce71c0c7740509b4a09115f8d626ce2fbe4f9fa388ebba08feca403e5","sha256:b1103298135cede27c673326ddde985c8cd6743337d1191796ef27b5c38e8005"],"state_sha256":"b16b7c7b181b32837a4a4bf19f70a296fec5d1aa2f4ca3b0b992cf6e72880443"}