{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:EXAEFRVDDXZFNM55KPOMVNA6WC","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":"d53a92302f64e4aed17f5006d9e2f868f8c782b9fcd9a37a45eab839f77e9d11","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2026-07-16T12:57:00Z","title_canon_sha256":"abdcbeeaf7d3bfd4f8efa1e47f131bc5b534d7132dea6b83f0799be689ce8854"},"schema_version":"1.0","source":{"id":"2607.14947","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.14947","created_at":"2026-07-17T01:22:00Z"},{"alias_kind":"arxiv_version","alias_value":"2607.14947v1","created_at":"2026-07-17T01:22:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.14947","created_at":"2026-07-17T01:22:00Z"},{"alias_kind":"pith_short_12","alias_value":"EXAEFRVDDXZF","created_at":"2026-07-17T01:22:00Z"},{"alias_kind":"pith_short_16","alias_value":"EXAEFRVDDXZFNM55","created_at":"2026-07-17T01:22:00Z"},{"alias_kind":"pith_short_8","alias_value":"EXAEFRVD","created_at":"2026-07-17T01:22:00Z"}],"graph_snapshots":[{"event_id":"sha256:a16c7af1ae35473510dbe5b5756fc17c74aab9d21dd5579f004715494394a08f","target":"graph","created_at":"2026-07-17T01:22:00Z","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/2607.14947/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Modern generative models are increasingly trained using model-generated signals, creating both opportunities for self-improvement and risks of collapse. We study optimal self-distillation (SD) for rectified flow (RF): given a suboptimal teacher velocity field, can a student trained on a mixture of true RF velocities and teacher velocities provably improve the teacher? For linear RF with ridge regularization on fixed interpolation pairs, we prove an exact affine path identity, derive the optimal mixing coefficient in closed form, and show strict improvement in integrated velocity risk whenever ","authors_text":"Debepsita Mukherjee, Pratik Patil, Saptarshi Roy","cross_cats":["cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2026-07-16T12:57:00Z","title":"Optimal Self-Distillation for Rectified Flow via Linear Probing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.14947","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:f624bf93e9a7b00527c4c0957e94534b40baa159da14fb15258b993e6244425d","target":"record","created_at":"2026-07-17T01:22:00Z","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":"d53a92302f64e4aed17f5006d9e2f868f8c782b9fcd9a37a45eab839f77e9d11","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2026-07-16T12:57:00Z","title_canon_sha256":"abdcbeeaf7d3bfd4f8efa1e47f131bc5b534d7132dea6b83f0799be689ce8854"},"schema_version":"1.0","source":{"id":"2607.14947","kind":"arxiv","version":1}},"canonical_sha256":"25c042c6a31df256b3bd53dccab41eb09ca1db46fc7981f06c6912b7601a04c2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"25c042c6a31df256b3bd53dccab41eb09ca1db46fc7981f06c6912b7601a04c2","first_computed_at":"2026-07-17T01:22:00.541520Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-17T01:22:00.541520Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oSv/llWt9IzLNJmZENBXDOcWbn5KBnBxkhYcmO3JzGs+2VI9Ba24IBgFNu/e8PsNXUiN/eaN0zySoAXb1LtGDg==","signature_status":"signed_v1","signed_at":"2026-07-17T01:22:00.542351Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.14947","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f624bf93e9a7b00527c4c0957e94534b40baa159da14fb15258b993e6244425d","sha256:a16c7af1ae35473510dbe5b5756fc17c74aab9d21dd5579f004715494394a08f"],"state_sha256":"61cde7f772fdb55b5b6d638853bf79c22e63ff76c2a0a52549f6738512b8ab97"}