{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:LZY43TGCILM4MWA4LHQR3MYGZI","short_pith_number":"pith:LZY43TGC","schema_version":"1.0","canonical_sha256":"5e71cdccc242d9c6581c59e11db306ca2d740e4087d9ae8c12c3063479471300","source":{"kind":"arxiv","id":"2608.00978","version":1},"attestation_state":"computed","paper":{"title":"One-Sided Quantile Coupling for Flow Matching","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI","cs.CV"],"primary_cat":"cs.LG","authors_text":"Hyun-Gyoon Kim, Jin-Young Kim, So-Yoon Cho","submitted_at":"2026-08-02T04:03:59Z","abstract_excerpt":"Flow Matching trains continuous-time generative models by regressing the velocity field of a probability path between a simple source distribution and a target data distribution. The coupling that pairs source and target samples strongly affects optimization and sample quality, but structured couplings typically rely on mini-batch transport or assignment procedures whose cost grows at least quadratically in batch size. We propose Quantile Coupling Flow Matching (QC-FM), a lightweight one-sided coupling: rather than matching two pre-sampled batches, it samples only the data batch and constructs"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2608.00978","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-08-02T04:03:59Z","cross_cats_sorted":["cs.AI","cs.CV"],"title_canon_sha256":"15ccdb864c2e5ee3df473cecb0f0559eebe0e1ed427e6385bf794f17549e2172","abstract_canon_sha256":"125a2c9e354074c5587ab08a3c6a28bfd3e4fbbaddac4dbc0746e93b59fece3c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-04T01:56:09.433238Z","signature_b64":"VjTDH4Swn4JEY+nU6eRYQQDTgIWUb1XmMNNKPefH98JhByDvATMLTOt715alEFdidT4ko6u1vxG4YOd8m0PuCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5e71cdccc242d9c6581c59e11db306ca2d740e4087d9ae8c12c3063479471300","last_reissued_at":"2026-08-04T01:56:09.431760Z","signature_status":"signed_v1","first_computed_at":"2026-08-04T01:56:09.431760Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"One-Sided Quantile Coupling for Flow Matching","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI","cs.CV"],"primary_cat":"cs.LG","authors_text":"Hyun-Gyoon Kim, Jin-Young Kim, So-Yoon Cho","submitted_at":"2026-08-02T04:03:59Z","abstract_excerpt":"Flow Matching trains continuous-time generative models by regressing the velocity field of a probability path between a simple source distribution and a target data distribution. The coupling that pairs source and target samples strongly affects optimization and sample quality, but structured couplings typically rely on mini-batch transport or assignment procedures whose cost grows at least quadratically in batch size. We propose Quantile Coupling Flow Matching (QC-FM), a lightweight one-sided coupling: rather than matching two pre-sampled batches, it samples only the data batch and constructs"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.00978","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2608.00978/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2608.00978","created_at":"2026-08-04T01:56:09.433059+00:00"},{"alias_kind":"arxiv_version","alias_value":"2608.00978v1","created_at":"2026-08-04T01:56:09.433059+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.00978","created_at":"2026-08-04T01:56:09.433059+00:00"},{"alias_kind":"pith_short_12","alias_value":"LZY43TGCILM4","created_at":"2026-08-04T01:56:09.433059+00:00"},{"alias_kind":"pith_short_16","alias_value":"LZY43TGCILM4MWA4","created_at":"2026-08-04T01:56:09.433059+00:00"},{"alias_kind":"pith_short_8","alias_value":"LZY43TGC","created_at":"2026-08-04T01:56:09.433059+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/LZY43TGCILM4MWA4LHQR3MYGZI","json":"https://pith.science/pith/LZY43TGCILM4MWA4LHQR3MYGZI.json","graph_json":"https://pith.science/api/pith-number/LZY43TGCILM4MWA4LHQR3MYGZI/graph.json","events_json":"https://pith.science/api/pith-number/LZY43TGCILM4MWA4LHQR3MYGZI/events.json","paper":"https://pith.science/paper/LZY43TGC"},"agent_actions":{"view_html":"https://pith.science/pith/LZY43TGCILM4MWA4LHQR3MYGZI","download_json":"https://pith.science/pith/LZY43TGCILM4MWA4LHQR3MYGZI.json","view_paper":"https://pith.science/paper/LZY43TGC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2608.00978&json=true","fetch_graph":"https://pith.science/api/pith-number/LZY43TGCILM4MWA4LHQR3MYGZI/graph.json","fetch_events":"https://pith.science/api/pith-number/LZY43TGCILM4MWA4LHQR3MYGZI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LZY43TGCILM4MWA4LHQR3MYGZI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LZY43TGCILM4MWA4LHQR3MYGZI/action/storage_attestation","attest_author":"https://pith.science/pith/LZY43TGCILM4MWA4LHQR3MYGZI/action/author_attestation","sign_citation":"https://pith.science/pith/LZY43TGCILM4MWA4LHQR3MYGZI/action/citation_signature","submit_replication":"https://pith.science/pith/LZY43TGCILM4MWA4LHQR3MYGZI/action/replication_record"}},"created_at":"2026-08-04T01:56:09.433059+00:00","updated_at":"2026-08-04T01:56:09.433059+00:00"}