{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:4CFUOXNBBHWWPDW2KBIMOV3AF2","short_pith_number":"pith:4CFUOXNB","canonical_record":{"source":{"id":"1208.5584","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-08-28T08:06:06Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"189bfe070ca430204eb116b1ed20739ae89c3942cac4cf2017d5a66dcebfc5c3","abstract_canon_sha256":"a48549811b0c478468f6a66d5b23dce7fc30cabe74e8cb25cb46e31290331bff"},"schema_version":"1.0"},"canonical_sha256":"e08b475da109ed678eda5050c757602e9feae76e6151f459ff2072b1a921746f","source":{"kind":"arxiv","id":"1208.5584","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.5584","created_at":"2026-05-18T03:46:58Z"},{"alias_kind":"arxiv_version","alias_value":"1208.5584v1","created_at":"2026-05-18T03:46:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.5584","created_at":"2026-05-18T03:46:58Z"},{"alias_kind":"pith_short_12","alias_value":"4CFUOXNBBHWW","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4CFUOXNBBHWWPDW2","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4CFUOXNB","created_at":"2026-05-18T12:26:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:4CFUOXNBBHWWPDW2KBIMOV3AF2","target":"record","payload":{"canonical_record":{"source":{"id":"1208.5584","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-08-28T08:06:06Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"189bfe070ca430204eb116b1ed20739ae89c3942cac4cf2017d5a66dcebfc5c3","abstract_canon_sha256":"a48549811b0c478468f6a66d5b23dce7fc30cabe74e8cb25cb46e31290331bff"},"schema_version":"1.0"},"canonical_sha256":"e08b475da109ed678eda5050c757602e9feae76e6151f459ff2072b1a921746f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:46:58.301017Z","signature_b64":"vneIvrzRt0hjk9U7yHPNHnbd0x45pt2Lz4nkvpMbcDBYdRdJa12yIt7/egA6m81iL78Iiei1bF+sz6xXWJdcDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e08b475da109ed678eda5050c757602e9feae76e6151f459ff2072b1a921746f","last_reissued_at":"2026-05-18T03:46:58.300450Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:46:58.300450Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1208.5584","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":"2026-05-18T03:46:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tSBdXv1gQlzgQeZczlAHiI6uu075oFp2YAYTNsL1DXLHH8lTCdXfrGXGl4HhoQ3W/+i3rWcPVOqAXSeF8nPaBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T17:38:35.352385Z"},"content_sha256":"af2316090d8c328b6bede65ea2cc9fd83f3ccaa24adf9de8201dfbe28a069c29","schema_version":"1.0","event_id":"sha256:af2316090d8c328b6bede65ea2cc9fd83f3ccaa24adf9de8201dfbe28a069c29"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:4CFUOXNBBHWWPDW2KBIMOV3AF2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Preconditioning to comply with the Irrepresentable Condition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Jinzhu Jia, Karl Rohe","submitted_at":"2012-08-28T08:06:06Z","abstract_excerpt":"Preconditioning is a technique from numerical linear algebra that can accelerate algorithms to solve systems of equations. In this paper, we demonstrate how preconditioning can circumvent a stringent assumption for sign consistency in sparse linear regression. Given $X \\in R^{n \\times p}$ and $Y \\in R^n$ that satisfy the standard regression equation, this paper demonstrates that even if the design matrix $X$ does not satisfy the irrepresentable condition for the Lasso, the design matrix $F X$ often does, where $F \\in R^{n\\times n}$ is a preconditioning matrix defined in this paper. By computin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.5584","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":"2026-05-18T03:46:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Of/ErhmW1mb3rGJFsUIUr1YuHUec9Y3YzD8E+zfqxoePmDL81UypxXeIIB+0FDd+MGaR74nAh/fFqa+MHIbgBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T17:38:35.352742Z"},"content_sha256":"685f540753f9238219fdde5d47c60c6deee74195b769b2dab0828c5af5de5413","schema_version":"1.0","event_id":"sha256:685f540753f9238219fdde5d47c60c6deee74195b769b2dab0828c5af5de5413"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4CFUOXNBBHWWPDW2KBIMOV3AF2/bundle.json","state_url":"https://pith.science/pith/4CFUOXNBBHWWPDW2KBIMOV3AF2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4CFUOXNBBHWWPDW2KBIMOV3AF2/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":"2026-05-19T17:38:35Z","links":{"resolver":"https://pith.science/pith/4CFUOXNBBHWWPDW2KBIMOV3AF2","bundle":"https://pith.science/pith/4CFUOXNBBHWWPDW2KBIMOV3AF2/bundle.json","state":"https://pith.science/pith/4CFUOXNBBHWWPDW2KBIMOV3AF2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4CFUOXNBBHWWPDW2KBIMOV3AF2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:4CFUOXNBBHWWPDW2KBIMOV3AF2","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":"a48549811b0c478468f6a66d5b23dce7fc30cabe74e8cb25cb46e31290331bff","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-08-28T08:06:06Z","title_canon_sha256":"189bfe070ca430204eb116b1ed20739ae89c3942cac4cf2017d5a66dcebfc5c3"},"schema_version":"1.0","source":{"id":"1208.5584","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.5584","created_at":"2026-05-18T03:46:58Z"},{"alias_kind":"arxiv_version","alias_value":"1208.5584v1","created_at":"2026-05-18T03:46:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.5584","created_at":"2026-05-18T03:46:58Z"},{"alias_kind":"pith_short_12","alias_value":"4CFUOXNBBHWW","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4CFUOXNBBHWWPDW2","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4CFUOXNB","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:685f540753f9238219fdde5d47c60c6deee74195b769b2dab0828c5af5de5413","target":"graph","created_at":"2026-05-18T03:46:58Z","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":"Preconditioning is a technique from numerical linear algebra that can accelerate algorithms to solve systems of equations. In this paper, we demonstrate how preconditioning can circumvent a stringent assumption for sign consistency in sparse linear regression. Given $X \\in R^{n \\times p}$ and $Y \\in R^n$ that satisfy the standard regression equation, this paper demonstrates that even if the design matrix $X$ does not satisfy the irrepresentable condition for the Lasso, the design matrix $F X$ often does, where $F \\in R^{n\\times n}$ is a preconditioning matrix defined in this paper. By computin","authors_text":"Jinzhu Jia, Karl Rohe","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-08-28T08:06:06Z","title":"Preconditioning to comply with the Irrepresentable Condition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.5584","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:af2316090d8c328b6bede65ea2cc9fd83f3ccaa24adf9de8201dfbe28a069c29","target":"record","created_at":"2026-05-18T03:46:58Z","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":"a48549811b0c478468f6a66d5b23dce7fc30cabe74e8cb25cb46e31290331bff","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-08-28T08:06:06Z","title_canon_sha256":"189bfe070ca430204eb116b1ed20739ae89c3942cac4cf2017d5a66dcebfc5c3"},"schema_version":"1.0","source":{"id":"1208.5584","kind":"arxiv","version":1}},"canonical_sha256":"e08b475da109ed678eda5050c757602e9feae76e6151f459ff2072b1a921746f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e08b475da109ed678eda5050c757602e9feae76e6151f459ff2072b1a921746f","first_computed_at":"2026-05-18T03:46:58.300450Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:46:58.300450Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vneIvrzRt0hjk9U7yHPNHnbd0x45pt2Lz4nkvpMbcDBYdRdJa12yIt7/egA6m81iL78Iiei1bF+sz6xXWJdcDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:46:58.301017Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.5584","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:af2316090d8c328b6bede65ea2cc9fd83f3ccaa24adf9de8201dfbe28a069c29","sha256:685f540753f9238219fdde5d47c60c6deee74195b769b2dab0828c5af5de5413"],"state_sha256":"c25a0f78e87907e81959a0a320100e6919fdd99271221400cb3369af96fb6bc7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rbGEwPf0GeD7k4RmLdT5MyV3YZRP5f2lUzGZDZwxy1OaBXUiNq2v16P9UpFUXLhoGFaeNU0duQAMy3sp+28oBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T17:38:35.355009Z","bundle_sha256":"96a80e58556be80ecd9d43b7715aceaa30cc5e5f71061dc116c93fcfdee0f29e"}}