{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:DFSWM5U424IBRG7P7WQVTWFRJD","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":"5d8eef42a28730ae22ce0f79c61903637ff631ac0a0d5066069553e8d75509f1","cross_cats_sorted":["cs.AI","cs.SD"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-05T13:46:37Z","title_canon_sha256":"9b40171ab80bfbdbde2b223f797e6a23e3daa12bc7da56ae24175ca25b223f32"},"schema_version":"1.0","source":{"id":"2606.07271","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.07271","created_at":"2026-06-08T01:05:16Z"},{"alias_kind":"arxiv_version","alias_value":"2606.07271v1","created_at":"2026-06-08T01:05:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.07271","created_at":"2026-06-08T01:05:16Z"},{"alias_kind":"pith_short_12","alias_value":"DFSWM5U424IB","created_at":"2026-06-08T01:05:16Z"},{"alias_kind":"pith_short_16","alias_value":"DFSWM5U424IBRG7P","created_at":"2026-06-08T01:05:16Z"},{"alias_kind":"pith_short_8","alias_value":"DFSWM5U4","created_at":"2026-06-08T01:05:16Z"}],"graph_snapshots":[{"event_id":"sha256:f19de76299109b31e37c7ccc8cf9d37bc4ca3291aac9ce2988468807961b1a2e","target":"graph","created_at":"2026-06-08T01:05:16Z","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/2606.07271/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Understanding what generative models retain from training data remains challenging, with implications for copyright and privacy. Beyond verbatim reproduction, models can encode subtler traces of their training data that never surface in their outputs yet remain exploitable. We study this regime for Rectified Flows, which are increasingly used in deployed generative systems. We analyse the interpolation path $X_\\lambda = (1-\\lambda)X_0 + \\lambda X_1$ that defines the Rectified Flow training. We show that a gap exists between the reconstruction of train and test data that follows a bell-shaped c","authors_text":"Gabriel Meseguer-Brocal, Geoffroy Peeters, Thomas Sesmat","cross_cats":["cs.AI","cs.SD"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-05T13:46:37Z","title":"Where Rectified Flows Leak: Characterising Membership Signals Along the Interpolation Path"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.07271","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:ef80cad7970afe9ba629c4df47de78b570f0bb69a4c11a6b981ce2a0371ebeb8","target":"record","created_at":"2026-06-08T01:05:16Z","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":"5d8eef42a28730ae22ce0f79c61903637ff631ac0a0d5066069553e8d75509f1","cross_cats_sorted":["cs.AI","cs.SD"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-05T13:46:37Z","title_canon_sha256":"9b40171ab80bfbdbde2b223f797e6a23e3daa12bc7da56ae24175ca25b223f32"},"schema_version":"1.0","source":{"id":"2606.07271","kind":"arxiv","version":1}},"canonical_sha256":"196566769cd710189beffda159d8b148d6c2e7e23997dea8d61393eececc4c5c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"196566769cd710189beffda159d8b148d6c2e7e23997dea8d61393eececc4c5c","first_computed_at":"2026-06-08T01:05:16.887859Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-08T01:05:16.887859Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JZvkQMiy8OC5Icf8dAqYvpMBZHnfzQrGoyd8nNqLC1mwPgcPHC0Yq4siFyAQfhlA8wbuYd/4O/jN4Czgw2etCg==","signature_status":"signed_v1","signed_at":"2026-06-08T01:05:16.888621Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.07271","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ef80cad7970afe9ba629c4df47de78b570f0bb69a4c11a6b981ce2a0371ebeb8","sha256:f19de76299109b31e37c7ccc8cf9d37bc4ca3291aac9ce2988468807961b1a2e"],"state_sha256":"de11ccfadf2766f8d4f0c7fbae529b0b92617e7ba587a9d002975b16e4b0421c"}