{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:O7CBNTTUHA3QWEX2R4QRBG4CLP","short_pith_number":"pith:O7CBNTTU","canonical_record":{"source":{"id":"1009.5861","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2010-09-29T12:24:10Z","cross_cats_sorted":[],"title_canon_sha256":"352ec2f878f8fbcd2da7d5ae397ad3d4d8430ccb0bb419017a01be0fc53c9151","abstract_canon_sha256":"e5f2f15132b4e51268e7fed8df45ed48593ef96ab44764b5a331c62a819c0600"},"schema_version":"1.0"},"canonical_sha256":"77c416ce7438370b12fa8f21109b825bfcaca998fdefd4bc4fc1af21823c69e2","source":{"kind":"arxiv","id":"1009.5861","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.5861","created_at":"2026-05-18T04:40:08Z"},{"alias_kind":"arxiv_version","alias_value":"1009.5861v1","created_at":"2026-05-18T04:40:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.5861","created_at":"2026-05-18T04:40:08Z"},{"alias_kind":"pith_short_12","alias_value":"O7CBNTTUHA3Q","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"O7CBNTTUHA3QWEX2","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"O7CBNTTU","created_at":"2026-05-18T12:26:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:O7CBNTTUHA3QWEX2R4QRBG4CLP","target":"record","payload":{"canonical_record":{"source":{"id":"1009.5861","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2010-09-29T12:24:10Z","cross_cats_sorted":[],"title_canon_sha256":"352ec2f878f8fbcd2da7d5ae397ad3d4d8430ccb0bb419017a01be0fc53c9151","abstract_canon_sha256":"e5f2f15132b4e51268e7fed8df45ed48593ef96ab44764b5a331c62a819c0600"},"schema_version":"1.0"},"canonical_sha256":"77c416ce7438370b12fa8f21109b825bfcaca998fdefd4bc4fc1af21823c69e2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:40:08.734067Z","signature_b64":"KDyJgtzXcn9jcc+NQvgRjh11PNiYkQhaa+ZdK4w3KZ33LuV+ADJK09KFzLZ+brUIcyCNJ65Ce2l9zE4CYhEDCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"77c416ce7438370b12fa8f21109b825bfcaca998fdefd4bc4fc1af21823c69e2","last_reissued_at":"2026-05-18T04:40:08.733593Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:40:08.733593Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1009.5861","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:40:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z0C2+Tq0YQOR3OSrprO8nq5cOostCSwB57OxQYoGYkI3pTM4UAM11slwgPlwiKryaJ/9RIZXbuYZGVg/FV1sAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T13:42:12.870767Z"},"content_sha256":"6055401950ef245dda3c8703d4efd04b4ed5347332e5addb8bd8122e85df7079","schema_version":"1.0","event_id":"sha256:6055401950ef245dda3c8703d4efd04b4ed5347332e5addb8bd8122e85df7079"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:O7CBNTTUHA3QWEX2R4QRBG4CLP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Inference on low-rank data matrices with applications to microarray data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.AP","authors_text":"Xingdong Feng, Xuming He","submitted_at":"2010-09-29T12:24:10Z","abstract_excerpt":"Probe-level microarray data are usually stored in matrices, where the row and column correspond to array and probe, respectively. Scientists routinely summarize each array by a single index as the expression level of each probe set (gene). We examine the adequacy of a unidimensional summary for characterizing the data matrix of each probe set. To do so, we propose a low-rank matrix model for the probe-level intensities, and develop a useful framework for testing the adequacy of unidimensionality against targeted alternatives. This is an interesting statistical problem where inference has to be"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.5861","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:40:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QCiiuKyTy8UrDholkCthHg8ignyI2Njo9XqEFvM293qFgFmtsDYFbyf7vHoGx+c81U9yyp1LRLVzDykoOe6xAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T13:42:12.871115Z"},"content_sha256":"e01d18267ed2602f4053ebb702a70f13b98c437ed8045fd09326074c7b2e3a20","schema_version":"1.0","event_id":"sha256:e01d18267ed2602f4053ebb702a70f13b98c437ed8045fd09326074c7b2e3a20"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/O7CBNTTUHA3QWEX2R4QRBG4CLP/bundle.json","state_url":"https://pith.science/pith/O7CBNTTUHA3QWEX2R4QRBG4CLP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/O7CBNTTUHA3QWEX2R4QRBG4CLP/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-01T13:42:12Z","links":{"resolver":"https://pith.science/pith/O7CBNTTUHA3QWEX2R4QRBG4CLP","bundle":"https://pith.science/pith/O7CBNTTUHA3QWEX2R4QRBG4CLP/bundle.json","state":"https://pith.science/pith/O7CBNTTUHA3QWEX2R4QRBG4CLP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/O7CBNTTUHA3QWEX2R4QRBG4CLP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:O7CBNTTUHA3QWEX2R4QRBG4CLP","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":"e5f2f15132b4e51268e7fed8df45ed48593ef96ab44764b5a331c62a819c0600","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2010-09-29T12:24:10Z","title_canon_sha256":"352ec2f878f8fbcd2da7d5ae397ad3d4d8430ccb0bb419017a01be0fc53c9151"},"schema_version":"1.0","source":{"id":"1009.5861","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.5861","created_at":"2026-05-18T04:40:08Z"},{"alias_kind":"arxiv_version","alias_value":"1009.5861v1","created_at":"2026-05-18T04:40:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.5861","created_at":"2026-05-18T04:40:08Z"},{"alias_kind":"pith_short_12","alias_value":"O7CBNTTUHA3Q","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"O7CBNTTUHA3QWEX2","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"O7CBNTTU","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:e01d18267ed2602f4053ebb702a70f13b98c437ed8045fd09326074c7b2e3a20","target":"graph","created_at":"2026-05-18T04:40:08Z","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":"Probe-level microarray data are usually stored in matrices, where the row and column correspond to array and probe, respectively. Scientists routinely summarize each array by a single index as the expression level of each probe set (gene). We examine the adequacy of a unidimensional summary for characterizing the data matrix of each probe set. To do so, we propose a low-rank matrix model for the probe-level intensities, and develop a useful framework for testing the adequacy of unidimensionality against targeted alternatives. This is an interesting statistical problem where inference has to be","authors_text":"Xingdong Feng, Xuming He","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2010-09-29T12:24:10Z","title":"Inference on low-rank data matrices with applications to microarray data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.5861","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":"sha256:6055401950ef245dda3c8703d4efd04b4ed5347332e5addb8bd8122e85df7079","target":"record","created_at":"2026-05-18T04:40:08Z","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":"e5f2f15132b4e51268e7fed8df45ed48593ef96ab44764b5a331c62a819c0600","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2010-09-29T12:24:10Z","title_canon_sha256":"352ec2f878f8fbcd2da7d5ae397ad3d4d8430ccb0bb419017a01be0fc53c9151"},"schema_version":"1.0","source":{"id":"1009.5861","kind":"arxiv","version":1}},"canonical_sha256":"77c416ce7438370b12fa8f21109b825bfcaca998fdefd4bc4fc1af21823c69e2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"77c416ce7438370b12fa8f21109b825bfcaca998fdefd4bc4fc1af21823c69e2","first_computed_at":"2026-05-18T04:40:08.733593Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:40:08.733593Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KDyJgtzXcn9jcc+NQvgRjh11PNiYkQhaa+ZdK4w3KZ33LuV+ADJK09KFzLZ+brUIcyCNJ65Ce2l9zE4CYhEDCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:40:08.734067Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.5861","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6055401950ef245dda3c8703d4efd04b4ed5347332e5addb8bd8122e85df7079","sha256:e01d18267ed2602f4053ebb702a70f13b98c437ed8045fd09326074c7b2e3a20"],"state_sha256":"8c2adcbf2f8e3c2d6d31cc83ce3e98d2f123dd38ca13b92b50cebf0bdd74f701"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3t6LPTyPzovlMGwF0RqX+4uswt0Ju5XaQugteKDQ4gLHCbK9b7+NXp4Ox1XKMhcFLVCVeyEdh09NjW8fW/JmBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T13:42:12.873050Z","bundle_sha256":"a466aa71535d8d4eae33647b392b45e54ba8ee5e87df1f8dfb8af749abf5ff97"}}