{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:UVAGVHYVRPVNJ3DXEEHSCOJ4YO","short_pith_number":"pith:UVAGVHYV","canonical_record":{"source":{"id":"1706.03400","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-06-11T19:56:06Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"93273247e1c128e0c935c07118169a1a29b5f8aa1e67cf9ae487eccdca29a4c2","abstract_canon_sha256":"93f2322520f37022a357de087af2e4e4d8724eab653ea59d5f2d93c780dd3a27"},"schema_version":"1.0"},"canonical_sha256":"a5406a9f158bead4ec77210f21393cc3b6e31b017312c5ff8fabfb501acb57fa","source":{"kind":"arxiv","id":"1706.03400","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.03400","created_at":"2026-05-17T23:40:04Z"},{"alias_kind":"arxiv_version","alias_value":"1706.03400v2","created_at":"2026-05-17T23:40:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.03400","created_at":"2026-05-17T23:40:04Z"},{"alias_kind":"pith_short_12","alias_value":"UVAGVHYVRPVN","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"UVAGVHYVRPVNJ3DX","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"UVAGVHYV","created_at":"2026-05-18T12:31:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:UVAGVHYVRPVNJ3DXEEHSCOJ4YO","target":"record","payload":{"canonical_record":{"source":{"id":"1706.03400","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-06-11T19:56:06Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"93273247e1c128e0c935c07118169a1a29b5f8aa1e67cf9ae487eccdca29a4c2","abstract_canon_sha256":"93f2322520f37022a357de087af2e4e4d8724eab653ea59d5f2d93c780dd3a27"},"schema_version":"1.0"},"canonical_sha256":"a5406a9f158bead4ec77210f21393cc3b6e31b017312c5ff8fabfb501acb57fa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:40:04.817932Z","signature_b64":"1J3glNn86FhAWKAcMXiKsoJzhSs3EzsOvPKlABm9avYqHpANq6okNjo0Kt5T6Lyf146K4i4aYEqLQt7xRRdzAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a5406a9f158bead4ec77210f21393cc3b6e31b017312c5ff8fabfb501acb57fa","last_reissued_at":"2026-05-17T23:40:04.817364Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:40:04.817364Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.03400","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:40:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n/1tdTyXIgHxyv6w2sVRjN7xEcvKfKWgIDlDvruWG/jB5v2gE2R0k3zGwiivmXX3AAmcSEgfJ05swEvcgwDEDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T04:29:44.123992Z"},"content_sha256":"b5ad0ab4c8dc2f6fdbae3b8523e3c5dc1db6989db346f9866fc6eb360c0cdc2f","schema_version":"1.0","event_id":"sha256:b5ad0ab4c8dc2f6fdbae3b8523e3c5dc1db6989db346f9866fc6eb360c0cdc2f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:UVAGVHYVRPVNJ3DXEEHSCOJ4YO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Prototype Knockoff Filter for Group Selection with FDR Control","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"stat.ME","authors_text":"Anthony Hou, Jiajie Chen, Thomas Y. Hou","submitted_at":"2017-06-11T19:56:06Z","abstract_excerpt":"In many applications, we need to study a linear regression model that consists of a response variable and a large number of potential explanatory variables and determine which variables are truly associated with the response. In 2015, Barber and Candes introduced a new variable selection procedure called the knockoff filter to control the false discovery rate (FDR) and proved that this method achieves exact FDR control. In this paper, we propose a prototype knockoff filter for group selection by extending the Reid-Tibshirani prototype method. Our prototype knockoff filter improves the computat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.03400","kind":"arxiv","version":2},"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":"2026-05-17T23:40:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gLAPUqB17Xvy6cj4uKhV3DXDmmelds1zxlQLo0AyN+PChbVMAlIpCC1BVgMepLWnCrqx/VyfSGJjqsHxl2uCBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T04:29:44.124379Z"},"content_sha256":"67db9d54d17bd31defacc99bab84dafb6e68294a3f0fc44a84dd65f8cc4a28e9","schema_version":"1.0","event_id":"sha256:67db9d54d17bd31defacc99bab84dafb6e68294a3f0fc44a84dd65f8cc4a28e9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UVAGVHYVRPVNJ3DXEEHSCOJ4YO/bundle.json","state_url":"https://pith.science/pith/UVAGVHYVRPVNJ3DXEEHSCOJ4YO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UVAGVHYVRPVNJ3DXEEHSCOJ4YO/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":"2026-05-26T04:29:44Z","links":{"resolver":"https://pith.science/pith/UVAGVHYVRPVNJ3DXEEHSCOJ4YO","bundle":"https://pith.science/pith/UVAGVHYVRPVNJ3DXEEHSCOJ4YO/bundle.json","state":"https://pith.science/pith/UVAGVHYVRPVNJ3DXEEHSCOJ4YO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UVAGVHYVRPVNJ3DXEEHSCOJ4YO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:UVAGVHYVRPVNJ3DXEEHSCOJ4YO","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":"93f2322520f37022a357de087af2e4e4d8724eab653ea59d5f2d93c780dd3a27","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-06-11T19:56:06Z","title_canon_sha256":"93273247e1c128e0c935c07118169a1a29b5f8aa1e67cf9ae487eccdca29a4c2"},"schema_version":"1.0","source":{"id":"1706.03400","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.03400","created_at":"2026-05-17T23:40:04Z"},{"alias_kind":"arxiv_version","alias_value":"1706.03400v2","created_at":"2026-05-17T23:40:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.03400","created_at":"2026-05-17T23:40:04Z"},{"alias_kind":"pith_short_12","alias_value":"UVAGVHYVRPVN","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"UVAGVHYVRPVNJ3DX","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"UVAGVHYV","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:67db9d54d17bd31defacc99bab84dafb6e68294a3f0fc44a84dd65f8cc4a28e9","target":"graph","created_at":"2026-05-17T23:40:04Z","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"},"paper":{"abstract_excerpt":"In many applications, we need to study a linear regression model that consists of a response variable and a large number of potential explanatory variables and determine which variables are truly associated with the response. In 2015, Barber and Candes introduced a new variable selection procedure called the knockoff filter to control the false discovery rate (FDR) and proved that this method achieves exact FDR control. In this paper, we propose a prototype knockoff filter for group selection by extending the Reid-Tibshirani prototype method. Our prototype knockoff filter improves the computat","authors_text":"Anthony Hou, Jiajie Chen, Thomas Y. Hou","cross_cats":["math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-06-11T19:56:06Z","title":"A Prototype Knockoff Filter for Group Selection with FDR Control"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.03400","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:b5ad0ab4c8dc2f6fdbae3b8523e3c5dc1db6989db346f9866fc6eb360c0cdc2f","target":"record","created_at":"2026-05-17T23:40:04Z","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":"93f2322520f37022a357de087af2e4e4d8724eab653ea59d5f2d93c780dd3a27","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-06-11T19:56:06Z","title_canon_sha256":"93273247e1c128e0c935c07118169a1a29b5f8aa1e67cf9ae487eccdca29a4c2"},"schema_version":"1.0","source":{"id":"1706.03400","kind":"arxiv","version":2}},"canonical_sha256":"a5406a9f158bead4ec77210f21393cc3b6e31b017312c5ff8fabfb501acb57fa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a5406a9f158bead4ec77210f21393cc3b6e31b017312c5ff8fabfb501acb57fa","first_computed_at":"2026-05-17T23:40:04.817364Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:40:04.817364Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1J3glNn86FhAWKAcMXiKsoJzhSs3EzsOvPKlABm9avYqHpANq6okNjo0Kt5T6Lyf146K4i4aYEqLQt7xRRdzAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:40:04.817932Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.03400","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b5ad0ab4c8dc2f6fdbae3b8523e3c5dc1db6989db346f9866fc6eb360c0cdc2f","sha256:67db9d54d17bd31defacc99bab84dafb6e68294a3f0fc44a84dd65f8cc4a28e9"],"state_sha256":"bc1292d8d80545b2fec9fafea4b1cdf4cb477beecb289f811011a804e195a221"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k8nm6Sday/82v921+DNmvA4v2L/I7Vr62+idua5mHyVxzEItqH2i4rq1+sCSSmYrNRct/P5r3N8tPfpmm/i+Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T04:29:44.127174Z","bundle_sha256":"567e6d879d305c71a08cf4c90178a4053b4698b43d5afefb8a44b59ee9f633ca"}}