{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:YKPXTGLLVFWAP4POLGPBUYCNLT","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":"6a8cc82d596be8e11c1ff3158f19b77f3344a34c3aafe58fa00253d2f3c3fabe","cross_cats_sorted":["cs.AI","cs.IR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-08-11T16:56:50Z","title_canon_sha256":"bb292efc63540a581d33f8cb053a16a6f8e3637df9a2d4a6bde747fa15126344"},"schema_version":"1.0","source":{"id":"1408.2467","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.2467","created_at":"2026-05-18T00:23:09Z"},{"alias_kind":"arxiv_version","alias_value":"1408.2467v2","created_at":"2026-05-18T00:23:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.2467","created_at":"2026-05-18T00:23:09Z"},{"alias_kind":"pith_short_12","alias_value":"YKPXTGLLVFWA","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YKPXTGLLVFWAP4PO","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YKPXTGLL","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:73cda6ffb9edea54fbf3affa5c00cb70bacbaf55783ba6ec2fb31e1e2c972821","target":"graph","created_at":"2026-05-18T00:23:09Z","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"},"paper":{"abstract_excerpt":"Matrix completion under interval uncertainty can be cast as matrix completion with element-wise box constraints. We present an efficient alternating-direction parallel coordinate-descent method for the problem. We show that the method outperforms any other known method on a benchmark in image in-painting in terms of signal-to-noise ratio, and that it provides high-quality solutions for an instance of collaborative filtering with 100,198,805 recommendations within 5 minutes.","authors_text":"Jakub Marecek, Martin Takac, Peter Richtarik","cross_cats":["cs.AI","cs.IR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-08-11T16:56:50Z","title":"Matrix Completion under Interval Uncertainty"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.2467","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":"sha256:59903b74038031c4041d49c2451a835ce8921990ff2b8a2dc4ed66d4325343a7","target":"record","created_at":"2026-05-18T00:23:09Z","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":"6a8cc82d596be8e11c1ff3158f19b77f3344a34c3aafe58fa00253d2f3c3fabe","cross_cats_sorted":["cs.AI","cs.IR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-08-11T16:56:50Z","title_canon_sha256":"bb292efc63540a581d33f8cb053a16a6f8e3637df9a2d4a6bde747fa15126344"},"schema_version":"1.0","source":{"id":"1408.2467","kind":"arxiv","version":2}},"canonical_sha256":"c29f79996ba96c07f1ee599e1a604d5ce5c7b7b4d30ab269bbb5502ea61d0f80","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c29f79996ba96c07f1ee599e1a604d5ce5c7b7b4d30ab269bbb5502ea61d0f80","first_computed_at":"2026-05-18T00:23:09.830045Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:09.830045Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TgimwgAz8Dw1r/fwxeUPPJh2axVLbljkd1HK6P9Kwqgidu+tCscqGjPjsEqNCBtwrP4poUnDM8vL+YW3vjdXDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:09.830555Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.2467","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:59903b74038031c4041d49c2451a835ce8921990ff2b8a2dc4ed66d4325343a7","sha256:73cda6ffb9edea54fbf3affa5c00cb70bacbaf55783ba6ec2fb31e1e2c972821"],"state_sha256":"5ad892ba4f96705f37f2812cf007d5d877fb821c0080e0e56d4c129b8f0e28d3"}