{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:KOV2BAGRNOR4UBKS2KWXUHUKM4","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":"50eb0fc5047a644384774ece5744eb5bf852940929ae6b615439671b196e766c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"stat.CO","submitted_at":"2026-06-21T18:07:19Z","title_canon_sha256":"4c822a7db2e8e63c6898aa4260bcfaa76e4481aeeddc7ab6f6e33794f3b65cdc"},"schema_version":"1.0","source":{"id":"2606.22622","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.22622","created_at":"2026-06-23T02:13:43Z"},{"alias_kind":"arxiv_version","alias_value":"2606.22622v1","created_at":"2026-06-23T02:13:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.22622","created_at":"2026-06-23T02:13:43Z"},{"alias_kind":"pith_short_12","alias_value":"KOV2BAGRNOR4","created_at":"2026-06-23T02:13:43Z"},{"alias_kind":"pith_short_16","alias_value":"KOV2BAGRNOR4UBKS","created_at":"2026-06-23T02:13:43Z"},{"alias_kind":"pith_short_8","alias_value":"KOV2BAGR","created_at":"2026-06-23T02:13:43Z"}],"graph_snapshots":[{"event_id":"sha256:7ea50261d2e3892a2188a135490b65ebd6436a91eb37903d344ee3efb3beeb74","target":"graph","created_at":"2026-06-23T02:13:43Z","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/2606.22622/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We revisit the problem of approximating a bivariate distribution with finite support by another such distribution which is totally positive or order two (TP2). Approximation is meant in a maximum likelihood sense.","authors_text":"Lutz Duembgen, Philip Stange","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"stat.CO","submitted_at":"2026-06-21T18:07:19Z","title":"A New Algorithm for Totally Positive Approximations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.22622","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":"sha256:323b43b21de5575fcbbcc71b7ff1e57f61bdaa4c56b7d934ef5ce19390c4e97a","target":"record","created_at":"2026-06-23T02:13:43Z","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":"50eb0fc5047a644384774ece5744eb5bf852940929ae6b615439671b196e766c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"stat.CO","submitted_at":"2026-06-21T18:07:19Z","title_canon_sha256":"4c822a7db2e8e63c6898aa4260bcfaa76e4481aeeddc7ab6f6e33794f3b65cdc"},"schema_version":"1.0","source":{"id":"2606.22622","kind":"arxiv","version":1}},"canonical_sha256":"53aba080d16ba3ca0552d2ad7a1e8a67082cec03605e585ecc9a2e75599d066c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"53aba080d16ba3ca0552d2ad7a1e8a67082cec03605e585ecc9a2e75599d066c","first_computed_at":"2026-06-23T02:13:43.330949Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-23T02:13:43.330949Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BW7lxeDQGTtDZs+ugNXbi6k99u5GOQyYio8ShrR1lggjGg7VIMHmhl5o4WgXJ7mgVlPGYoGuE31Q3HFMVh3NCw==","signature_status":"signed_v1","signed_at":"2026-06-23T02:13:43.331361Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.22622","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:323b43b21de5575fcbbcc71b7ff1e57f61bdaa4c56b7d934ef5ce19390c4e97a","sha256:7ea50261d2e3892a2188a135490b65ebd6436a91eb37903d344ee3efb3beeb74"],"state_sha256":"853e4e22d328e84f1ce55bf2da6ebfeda13133636706078ff8b7e5ebb3843e7d"}