{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:GPHL3XT6NLSIXUN32JBB4NP2R3","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":"37b1b10e70e6779239e57d9af9cdce6cd189515ce5504bb7d7a92c04326c471a","cross_cats_sorted":["stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-03T23:01:13Z","title_canon_sha256":"3f7e2fa77d2c3794f36ef49e2359a40d431cf0a4d0e810d249b15736e73bcd87"},"schema_version":"1.0","source":{"id":"2607.03626","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.03626","created_at":"2026-07-07T02:17:58Z"},{"alias_kind":"arxiv_version","alias_value":"2607.03626v1","created_at":"2026-07-07T02:17:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.03626","created_at":"2026-07-07T02:17:58Z"},{"alias_kind":"pith_short_12","alias_value":"GPHL3XT6NLSI","created_at":"2026-07-07T02:17:58Z"},{"alias_kind":"pith_short_16","alias_value":"GPHL3XT6NLSIXUN3","created_at":"2026-07-07T02:17:58Z"},{"alias_kind":"pith_short_8","alias_value":"GPHL3XT6","created_at":"2026-07-07T02:17:58Z"}],"graph_snapshots":[{"event_id":"sha256:d2c0729b30c38967ebdbda06ac61e2fcb073ed4c718fe518aaf5e6fa6c5d4fd0","target":"graph","created_at":"2026-07-07T02:17:58Z","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/2607.03626/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recent advances in generative modeling have enabled the efficient computation of Schr\\\"odinger bridges (SB) in high-dimensional settings by leveraging partially simulation-free training methods inspired by flow matching. However, these have not covered SBs with reflecting dynamics, a useful model choice with built-in guarantees that generated samples stay in the data domain. Existing alternatives for reflected SBs instead rely on more complex training based on forward--backward SDE theory, requiring expensive higher-order derivatives and sampling entire paths during training. In this article, ","authors_text":"Joakim And\\'en, Marcus H\\\"aggbom, Pierre Nyquist, Viktor Nilsson","cross_cats":["stat.ML"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-03T23:01:13Z","title":"Reflected Schr\\\"odinger Bridge Matching"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.03626","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":"sha256:3b9c031edd558cb4bbe71ea08bf941a59276a0c03d7586e95b7b7a2535ace16a","target":"record","created_at":"2026-07-07T02:17:58Z","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":"37b1b10e70e6779239e57d9af9cdce6cd189515ce5504bb7d7a92c04326c471a","cross_cats_sorted":["stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-03T23:01:13Z","title_canon_sha256":"3f7e2fa77d2c3794f36ef49e2359a40d431cf0a4d0e810d249b15736e73bcd87"},"schema_version":"1.0","source":{"id":"2607.03626","kind":"arxiv","version":1}},"canonical_sha256":"33cebdde7e6ae48bd1bbd2421e35fa8eece07b4ac35255308c38823a99ff0b95","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"33cebdde7e6ae48bd1bbd2421e35fa8eece07b4ac35255308c38823a99ff0b95","first_computed_at":"2026-07-07T02:17:58.087943Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-07T02:17:58.087943Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JtAPCyIJcwZw4rIi+Q933VIit2RaqgP/Gi4whg5W3ZuhLyt9Q41H7/CUdFTiL/BmYMkztW+qFUyVEzlPo9wMDA==","signature_status":"signed_v1","signed_at":"2026-07-07T02:17:58.088697Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.03626","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3b9c031edd558cb4bbe71ea08bf941a59276a0c03d7586e95b7b7a2535ace16a","sha256:d2c0729b30c38967ebdbda06ac61e2fcb073ed4c718fe518aaf5e6fa6c5d4fd0"],"state_sha256":"ab6b70340d50526eb8814294f082d5a1323ac15ff5aadc47ba1d7be720ee3e54"}