{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:XAO5XBP3PS4RDNMTVZ664VYLLS","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":"4dbad88c481f0b017472fe0f1c6f8780eae5a1bba055def7f1d9808c4caad56a","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2022-05-24T20:51:37Z","title_canon_sha256":"0a8385d222a1b66fff02d6e5ba27417eba8769283010c02987ec9b4ad392f058"},"schema_version":"1.0","source":{"id":"2205.12365","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2205.12365","created_at":"2026-07-05T04:57:46Z"},{"alias_kind":"arxiv_version","alias_value":"2205.12365v2","created_at":"2026-07-05T04:57:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.12365","created_at":"2026-07-05T04:57:46Z"},{"alias_kind":"pith_short_12","alias_value":"XAO5XBP3PS4R","created_at":"2026-07-05T04:57:46Z"},{"alias_kind":"pith_short_16","alias_value":"XAO5XBP3PS4RDNMT","created_at":"2026-07-05T04:57:46Z"},{"alias_kind":"pith_short_8","alias_value":"XAO5XBP3","created_at":"2026-07-05T04:57:46Z"}],"graph_snapshots":[{"event_id":"sha256:bac420d33b4739c5bcd152c1833ef3f444161b19cb6a32662580852499edd1d4","target":"graph","created_at":"2026-07-05T04:57:46Z","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/2205.12365/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The matching principles behind optimal transport (OT) play an increasingly important role in machine learning, a trend which can be observed when OT is used to disambiguate datasets in applications (e.g. single-cell genomics) or used to improve more complex methods (e.g. balanced attention in transformers or self-supervised learning). To scale to more challenging problems, there is a growing consensus that OT requires solvers that can operate on millions, not thousands, of points. The low-rank optimal transport (LOT) approach advocated in \\cite{scetbon2021lowrank} holds several promises in tha","authors_text":"Marco Cuturi, Meyer Scetbon","cross_cats":["cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2022-05-24T20:51:37Z","title":"Low-rank Optimal Transport: Approximation, Statistics and Debiasing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.12365","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:c85f1a09064676bdaa1ec28cfa6a6deb73f8a4ad77227e9e5d1b52b3eb5d909c","target":"record","created_at":"2026-07-05T04:57:46Z","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":"4dbad88c481f0b017472fe0f1c6f8780eae5a1bba055def7f1d9808c4caad56a","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2022-05-24T20:51:37Z","title_canon_sha256":"0a8385d222a1b66fff02d6e5ba27417eba8769283010c02987ec9b4ad392f058"},"schema_version":"1.0","source":{"id":"2205.12365","kind":"arxiv","version":2}},"canonical_sha256":"b81ddb85fb7cb911b593ae7dee570b5c90731fab4a308dcffeb36f2da24a9ac6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b81ddb85fb7cb911b593ae7dee570b5c90731fab4a308dcffeb36f2da24a9ac6","first_computed_at":"2026-07-05T04:57:46.608218Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:57:46.608218Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0HsjT4Eg98M/YYVcbkumyBEJlT0QzKAJ8paJNdjhRf+YQABVKd6+DiTsuXHg2J5HMj7d3Wnnuh/pZIVDQRAPCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T04:57:46.608713Z","signed_message":"canonical_sha256_bytes"},"source_id":"2205.12365","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c85f1a09064676bdaa1ec28cfa6a6deb73f8a4ad77227e9e5d1b52b3eb5d909c","sha256:bac420d33b4739c5bcd152c1833ef3f444161b19cb6a32662580852499edd1d4"],"state_sha256":"44da6acbe9a58d9b01e293701e8cd82005a3e4c8ad3a2ee82866b3a3d5166c18"}