{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:W66YUFDUALEL3IPR23742GII2Y","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":"bcfac394ddc1f9d611b5098170e787ebaee0829533ad6c90158718e7f5dcf063","cross_cats_sorted":["stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2023-10-09T07:10:09Z","title_canon_sha256":"ca6ac96b5d86594ea81f1f8e12de2513286981bac619e57851e2f7ed6d321f4b"},"schema_version":"1.0","source":{"id":"2310.05461","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.05461","created_at":"2026-07-05T07:54:04Z"},{"alias_kind":"arxiv_version","alias_value":"2310.05461v2","created_at":"2026-07-05T07:54:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.05461","created_at":"2026-07-05T07:54:04Z"},{"alias_kind":"pith_short_12","alias_value":"W66YUFDUALEL","created_at":"2026-07-05T07:54:04Z"},{"alias_kind":"pith_short_16","alias_value":"W66YUFDUALEL3IPR","created_at":"2026-07-05T07:54:04Z"},{"alias_kind":"pith_short_8","alias_value":"W66YUFDU","created_at":"2026-07-05T07:54:04Z"}],"graph_snapshots":[{"event_id":"sha256:deb024e489a0c2787af51ba1e4ae243f0fb727cb0104e0173b29f58cb8868087","target":"graph","created_at":"2026-07-05T07:54:04Z","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/2310.05461/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Optimal Transport is a useful metric to compare probability distributions and to compute a pairing given a ground cost. Its entropic regularization variant (eOT) is crucial to have fast algorithms and reflect fuzzy/noisy matchings. This work focuses on Inverse Optimal Transport (iOT), the problem of inferring the ground cost from samples drawn from a coupling that solves an eOT problem. It is a relevant problem that can be used to infer unobserved/missing links, and to obtain meaningful information about the structure of the ground cost yielding the pairing. On one side, iOT benefits from conv","authors_text":"Clarice Poon, Francisco Andrade, Gabriel Peyre","cross_cats":["stat.TH"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2023-10-09T07:10:09Z","title":"Sparsistency for Inverse Optimal Transport"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.05461","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":"sha256:6dccf8f25deb0dbccaadb2e2521b6bc9d4be71641899408a86eb4e59c5cf0c45","target":"record","created_at":"2026-07-05T07:54:04Z","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":"bcfac394ddc1f9d611b5098170e787ebaee0829533ad6c90158718e7f5dcf063","cross_cats_sorted":["stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2023-10-09T07:10:09Z","title_canon_sha256":"ca6ac96b5d86594ea81f1f8e12de2513286981bac619e57851e2f7ed6d321f4b"},"schema_version":"1.0","source":{"id":"2310.05461","kind":"arxiv","version":2}},"canonical_sha256":"b7bd8a147402c8bda1f1d6ffcd1908d630913035363db2a1befbb9ff38cbd6fc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b7bd8a147402c8bda1f1d6ffcd1908d630913035363db2a1befbb9ff38cbd6fc","first_computed_at":"2026-07-05T07:54:04.659932Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:54:04.659932Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oiEW1Buj6XJYj1hDuFdTeHivbhmEqp4nteZlORn+3Tl0zgQzuafURyq6cnxonu8Ox+ho4BUwY3WGSzQsKF51Bg==","signature_status":"signed_v1","signed_at":"2026-07-05T07:54:04.660396Z","signed_message":"canonical_sha256_bytes"},"source_id":"2310.05461","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6dccf8f25deb0dbccaadb2e2521b6bc9d4be71641899408a86eb4e59c5cf0c45","sha256:deb024e489a0c2787af51ba1e4ae243f0fb727cb0104e0173b29f58cb8868087"],"state_sha256":"81b6a520e3dd5a6ac5c61b4c33c754318ba137e5aea41500a030227257b8af75"}