{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:LLVHYLZU33UTL2CFICCNZMKPMD","short_pith_number":"pith:LLVHYLZU","canonical_record":{"source":{"id":"2207.07020","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2022-07-14T15:53:44Z","cross_cats_sorted":[],"title_canon_sha256":"718ec84c89e3bf43997355a65190e940eeedc3cd959bc27a84e33eb09abd813a","abstract_canon_sha256":"da8d692c4c33645522543214f1f8f53839a043d5b8cc4a020ac01589cdd8f385"},"schema_version":"1.0"},"canonical_sha256":"5aea7c2f34dee935e8454084dcb14f60ce55c5a97994c75cd43d47202ae93498","source":{"kind":"arxiv","id":"2207.07020","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.07020","created_at":"2026-07-05T08:00:58Z"},{"alias_kind":"arxiv_version","alias_value":"2207.07020v3","created_at":"2026-07-05T08:00:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.07020","created_at":"2026-07-05T08:00:58Z"},{"alias_kind":"pith_short_12","alias_value":"LLVHYLZU33UT","created_at":"2026-07-05T08:00:58Z"},{"alias_kind":"pith_short_16","alias_value":"LLVHYLZU33UTL2CF","created_at":"2026-07-05T08:00:58Z"},{"alias_kind":"pith_short_8","alias_value":"LLVHYLZU","created_at":"2026-07-05T08:00:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:LLVHYLZU33UTL2CFICCNZMKPMD","target":"record","payload":{"canonical_record":{"source":{"id":"2207.07020","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2022-07-14T15:53:44Z","cross_cats_sorted":[],"title_canon_sha256":"718ec84c89e3bf43997355a65190e940eeedc3cd959bc27a84e33eb09abd813a","abstract_canon_sha256":"da8d692c4c33645522543214f1f8f53839a043d5b8cc4a020ac01589cdd8f385"},"schema_version":"1.0"},"canonical_sha256":"5aea7c2f34dee935e8454084dcb14f60ce55c5a97994c75cd43d47202ae93498","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:00:58.074387Z","signature_b64":"c/8hm3Tf7XBfHAYbPTBqMvVsdRFbBdm3QDyIeqzY8SlBG5q9khe7Y/q0uCcxUNqdWN0vhdhvqjxmTZyygbE4CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5aea7c2f34dee935e8454084dcb14f60ce55c5a97994c75cd43d47202ae93498","last_reissued_at":"2026-07-05T08:00:58.073898Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:00:58.073898Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2207.07020","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:00:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wDgFKB4D2mhJNZBpXg24x8LBDIOyVgqL45SxXR4B0DGv5bl8v0faxAM0gqwfphhLl/yRmyMB2jFj8Jvu/Cs7Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T04:53:13.946878Z"},"content_sha256":"7c558e7a8c3433bdb0f5bf90eaaad1437ed0b13918a935272cf114e016a6c02b","schema_version":"1.0","event_id":"sha256:7c558e7a8c3433bdb0f5bf90eaaad1437ed0b13918a935272cf114e016a6c02b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:LLVHYLZU33UTL2CFICCNZMKPMD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Estimating sparse direct effects in multivariate regression with the spike-and-slab LASSO","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Claudia Sol\\'is-Lemus, Sameer K. Deshpande, Yunyi Shen","submitted_at":"2022-07-14T15:53:44Z","abstract_excerpt":"The multivariate regression interpretation of the Gaussian chain graph model simultaneously parametrizes (i) the direct effects of $p$ predictors on $q$ outcomes and (ii) the residual partial covariances between pairs of outcomes. We introduce a new method for fitting sparse Gaussian chain graph models with spike-and-slab LASSO (SSL) priors. We develop an Expectation Conditional Maximization algorithm to obtain sparse estimates of the $p \\times q$ matrix of direct effects and the $q \\times q$ residual precision matrix. Our algorithm iteratively solves a sequence of penalized maximum likelihood"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.07020","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2207.07020/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T08:00:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6kBvI16jOdcVllCVWrI9vuiKYU6sS0uVbcfpGoN6a28O/rlxiadBeSgd1nYZWSu85onE0PktYf/oDC3CNCDpCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T04:53:13.947273Z"},"content_sha256":"b50af50cb756e13fab5845550ed127b2b85dcdb0f2029739667913f7cb0712d2","schema_version":"1.0","event_id":"sha256:b50af50cb756e13fab5845550ed127b2b85dcdb0f2029739667913f7cb0712d2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LLVHYLZU33UTL2CFICCNZMKPMD/bundle.json","state_url":"https://pith.science/pith/LLVHYLZU33UTL2CFICCNZMKPMD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LLVHYLZU33UTL2CFICCNZMKPMD/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":"2026-07-07T04:53:13Z","links":{"resolver":"https://pith.science/pith/LLVHYLZU33UTL2CFICCNZMKPMD","bundle":"https://pith.science/pith/LLVHYLZU33UTL2CFICCNZMKPMD/bundle.json","state":"https://pith.science/pith/LLVHYLZU33UTL2CFICCNZMKPMD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LLVHYLZU33UTL2CFICCNZMKPMD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:LLVHYLZU33UTL2CFICCNZMKPMD","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":"da8d692c4c33645522543214f1f8f53839a043d5b8cc4a020ac01589cdd8f385","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2022-07-14T15:53:44Z","title_canon_sha256":"718ec84c89e3bf43997355a65190e940eeedc3cd959bc27a84e33eb09abd813a"},"schema_version":"1.0","source":{"id":"2207.07020","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.07020","created_at":"2026-07-05T08:00:58Z"},{"alias_kind":"arxiv_version","alias_value":"2207.07020v3","created_at":"2026-07-05T08:00:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.07020","created_at":"2026-07-05T08:00:58Z"},{"alias_kind":"pith_short_12","alias_value":"LLVHYLZU33UT","created_at":"2026-07-05T08:00:58Z"},{"alias_kind":"pith_short_16","alias_value":"LLVHYLZU33UTL2CF","created_at":"2026-07-05T08:00:58Z"},{"alias_kind":"pith_short_8","alias_value":"LLVHYLZU","created_at":"2026-07-05T08:00:58Z"}],"graph_snapshots":[{"event_id":"sha256:b50af50cb756e13fab5845550ed127b2b85dcdb0f2029739667913f7cb0712d2","target":"graph","created_at":"2026-07-05T08:00:58Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2207.07020/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The multivariate regression interpretation of the Gaussian chain graph model simultaneously parametrizes (i) the direct effects of $p$ predictors on $q$ outcomes and (ii) the residual partial covariances between pairs of outcomes. We introduce a new method for fitting sparse Gaussian chain graph models with spike-and-slab LASSO (SSL) priors. We develop an Expectation Conditional Maximization algorithm to obtain sparse estimates of the $p \\times q$ matrix of direct effects and the $q \\times q$ residual precision matrix. Our algorithm iteratively solves a sequence of penalized maximum likelihood","authors_text":"Claudia Sol\\'is-Lemus, Sameer K. Deshpande, Yunyi Shen","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2022-07-14T15:53:44Z","title":"Estimating sparse direct effects in multivariate regression with the spike-and-slab LASSO"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.07020","kind":"arxiv","version":3},"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":"sha256:7c558e7a8c3433bdb0f5bf90eaaad1437ed0b13918a935272cf114e016a6c02b","target":"record","created_at":"2026-07-05T08:00:58Z","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":"da8d692c4c33645522543214f1f8f53839a043d5b8cc4a020ac01589cdd8f385","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2022-07-14T15:53:44Z","title_canon_sha256":"718ec84c89e3bf43997355a65190e940eeedc3cd959bc27a84e33eb09abd813a"},"schema_version":"1.0","source":{"id":"2207.07020","kind":"arxiv","version":3}},"canonical_sha256":"5aea7c2f34dee935e8454084dcb14f60ce55c5a97994c75cd43d47202ae93498","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5aea7c2f34dee935e8454084dcb14f60ce55c5a97994c75cd43d47202ae93498","first_computed_at":"2026-07-05T08:00:58.073898Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:00:58.073898Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c/8hm3Tf7XBfHAYbPTBqMvVsdRFbBdm3QDyIeqzY8SlBG5q9khe7Y/q0uCcxUNqdWN0vhdhvqjxmTZyygbE4CQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:00:58.074387Z","signed_message":"canonical_sha256_bytes"},"source_id":"2207.07020","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7c558e7a8c3433bdb0f5bf90eaaad1437ed0b13918a935272cf114e016a6c02b","sha256:b50af50cb756e13fab5845550ed127b2b85dcdb0f2029739667913f7cb0712d2"],"state_sha256":"7dcf4eee84f17c542b02ace38c75f4dfed33b597004df37decf92d276c9ce202"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a9C0Fir1ZTlfuYNXBNkXTGmr5wlPFx6BsHIqe5PJs3Swp3Ij7nYgl7z6EiQV5gci3r26mHOSn+2FNawNlOghCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T04:53:13.949537Z","bundle_sha256":"b17817c770adf2feda45d9be73eab95593a1423eeb4ed6a9f45da8b905f1b9f3"}}