{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:NNUXWL2KIUEJL2YMBQPEHIOR3R","short_pith_number":"pith:NNUXWL2K","canonical_record":{"source":{"id":"1712.00484","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-12-01T20:33:36Z","cross_cats_sorted":[],"title_canon_sha256":"22d3628051c6ee8d5757962d66b63cad09b93e5fc4308f6b69b6495adb38756f","abstract_canon_sha256":"cd6023c59c2a817eb45b1bd5da64d36efd48d4599b763c929d77b862d63467ed"},"schema_version":"1.0"},"canonical_sha256":"6b697b2f4a450895eb0c0c1e43a1d1dc6445b3ebf3d1018c4469fa3234a7246b","source":{"kind":"arxiv","id":"1712.00484","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.00484","created_at":"2026-05-18T00:26:17Z"},{"alias_kind":"arxiv_version","alias_value":"1712.00484v4","created_at":"2026-05-18T00:26:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.00484","created_at":"2026-05-18T00:26:17Z"},{"alias_kind":"pith_short_12","alias_value":"NNUXWL2KIUEJ","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"NNUXWL2KIUEJL2YM","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"NNUXWL2K","created_at":"2026-05-18T12:31:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:NNUXWL2KIUEJL2YMBQPEHIOR3R","target":"record","payload":{"canonical_record":{"source":{"id":"1712.00484","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-12-01T20:33:36Z","cross_cats_sorted":[],"title_canon_sha256":"22d3628051c6ee8d5757962d66b63cad09b93e5fc4308f6b69b6495adb38756f","abstract_canon_sha256":"cd6023c59c2a817eb45b1bd5da64d36efd48d4599b763c929d77b862d63467ed"},"schema_version":"1.0"},"canonical_sha256":"6b697b2f4a450895eb0c0c1e43a1d1dc6445b3ebf3d1018c4469fa3234a7246b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:17.883662Z","signature_b64":"1p/+iAY3ireIXIKO0QY2/nhjsWXBXICXPneSy0KIW4J+KPpk8qvo+JQmrvgFodgtlEbORsjGfSnmHth4R08uBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6b697b2f4a450895eb0c0c1e43a1d1dc6445b3ebf3d1018c4469fa3234a7246b","last_reissued_at":"2026-05-18T00:26:17.883233Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:17.883233Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.00484","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:26:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p8+dSXBQTO/D1b/ph6+/Sq8zlOntL5IY2yG8fXX5Ct/GMyx3dUebgnQYwBgoJZRGi2Ff6WlL623f/Xdv1kOBAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T16:24:58.041034Z"},"content_sha256":"fbf83a3ddc7af80fb7b13728ee6a76af6ea4978e387e63c93b5dd473f42b003c","schema_version":"1.0","event_id":"sha256:fbf83a3ddc7af80fb7b13728ee6a76af6ea4978e387e63c93b5dd473f42b003c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:NNUXWL2KIUEJL2YMBQPEHIOR3R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Pliable Lasso","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Jerome Friedman, Robert Tibshirani","submitted_at":"2017-12-01T20:33:36Z","abstract_excerpt":"We propose a generalization of the lasso that allows the model coefficients to vary as a function of a general set of modifying variables. These modifiers might be variables such as gender, age or time. The paradigm is quite general, with each lasso coefficient modified by a sparse linear function of the modifying variables $Z$. The model is estimated in a hierarchical fashion to control the degrees of freedom and avoid overfitting. The modifying variables may be observed, observed only in the training set, or unobserved overall. There are connections of our proposal to varying coefficient mod"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.00484","kind":"arxiv","version":4},"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":"2026-05-18T00:26:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hiUylZOVh5+oTvCx3kowd3ww96u1oj9yywUPO5/5hW1yd28ixEur1bjJhfyqW4wYOAri9nnlCp4jFurWiFPPBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T16:24:58.041737Z"},"content_sha256":"425b4a0657f4070d32db91ebd7c67bd075eac58857c4d050361bc4244025a591","schema_version":"1.0","event_id":"sha256:425b4a0657f4070d32db91ebd7c67bd075eac58857c4d050361bc4244025a591"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NNUXWL2KIUEJL2YMBQPEHIOR3R/bundle.json","state_url":"https://pith.science/pith/NNUXWL2KIUEJL2YMBQPEHIOR3R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NNUXWL2KIUEJL2YMBQPEHIOR3R/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":"2026-05-25T16:24:58Z","links":{"resolver":"https://pith.science/pith/NNUXWL2KIUEJL2YMBQPEHIOR3R","bundle":"https://pith.science/pith/NNUXWL2KIUEJL2YMBQPEHIOR3R/bundle.json","state":"https://pith.science/pith/NNUXWL2KIUEJL2YMBQPEHIOR3R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NNUXWL2KIUEJL2YMBQPEHIOR3R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:NNUXWL2KIUEJL2YMBQPEHIOR3R","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":"cd6023c59c2a817eb45b1bd5da64d36efd48d4599b763c929d77b862d63467ed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-12-01T20:33:36Z","title_canon_sha256":"22d3628051c6ee8d5757962d66b63cad09b93e5fc4308f6b69b6495adb38756f"},"schema_version":"1.0","source":{"id":"1712.00484","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.00484","created_at":"2026-05-18T00:26:17Z"},{"alias_kind":"arxiv_version","alias_value":"1712.00484v4","created_at":"2026-05-18T00:26:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.00484","created_at":"2026-05-18T00:26:17Z"},{"alias_kind":"pith_short_12","alias_value":"NNUXWL2KIUEJ","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"NNUXWL2KIUEJL2YM","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"NNUXWL2K","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:425b4a0657f4070d32db91ebd7c67bd075eac58857c4d050361bc4244025a591","target":"graph","created_at":"2026-05-18T00:26:17Z","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":"We propose a generalization of the lasso that allows the model coefficients to vary as a function of a general set of modifying variables. These modifiers might be variables such as gender, age or time. The paradigm is quite general, with each lasso coefficient modified by a sparse linear function of the modifying variables $Z$. The model is estimated in a hierarchical fashion to control the degrees of freedom and avoid overfitting. The modifying variables may be observed, observed only in the training set, or unobserved overall. There are connections of our proposal to varying coefficient mod","authors_text":"Jerome Friedman, Robert Tibshirani","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-12-01T20:33:36Z","title":"A Pliable Lasso"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.00484","kind":"arxiv","version":4},"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:fbf83a3ddc7af80fb7b13728ee6a76af6ea4978e387e63c93b5dd473f42b003c","target":"record","created_at":"2026-05-18T00:26:17Z","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":"cd6023c59c2a817eb45b1bd5da64d36efd48d4599b763c929d77b862d63467ed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-12-01T20:33:36Z","title_canon_sha256":"22d3628051c6ee8d5757962d66b63cad09b93e5fc4308f6b69b6495adb38756f"},"schema_version":"1.0","source":{"id":"1712.00484","kind":"arxiv","version":4}},"canonical_sha256":"6b697b2f4a450895eb0c0c1e43a1d1dc6445b3ebf3d1018c4469fa3234a7246b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6b697b2f4a450895eb0c0c1e43a1d1dc6445b3ebf3d1018c4469fa3234a7246b","first_computed_at":"2026-05-18T00:26:17.883233Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:17.883233Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1p/+iAY3ireIXIKO0QY2/nhjsWXBXICXPneSy0KIW4J+KPpk8qvo+JQmrvgFodgtlEbORsjGfSnmHth4R08uBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:17.883662Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.00484","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fbf83a3ddc7af80fb7b13728ee6a76af6ea4978e387e63c93b5dd473f42b003c","sha256:425b4a0657f4070d32db91ebd7c67bd075eac58857c4d050361bc4244025a591"],"state_sha256":"63ee10fc8dbd6e6326729f089875dd9a3ad37621e166dba8abd282c6df8a6d2f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zp/9ArfD3N/HM6np893tdfPTfYSSFRwk3KhIBMHWCJil+vraJTiMKnRF/Zv1RihynnPlzMPEmCmvc8qt4r+zDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T16:24:58.045653Z","bundle_sha256":"5dcac42e9ab3aac91c1797dbb457526c033c6e301cf2695e8398d259844d557a"}}