{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:EXCVGX5QH4PWWUEWQMRGRFF5ZE","short_pith_number":"pith:EXCVGX5Q","canonical_record":{"source":{"id":"1404.5100","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-04-21T03:33:16Z","cross_cats_sorted":["stat.CO"],"title_canon_sha256":"72b0fe6f22fa7bc04132330b854e5a3318891e7827a17754a8f46b31b61d2dc1","abstract_canon_sha256":"7614f84b5f76c5a326c4401271e495b6bc4e6dd0cc6d14ca5a6c4f4767c1ef9e"},"schema_version":"1.0"},"canonical_sha256":"25c5535fb03f1f6b509683226894bdc934b7d23722756744d0b6e56f79f9e380","source":{"kind":"arxiv","id":"1404.5100","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.5100","created_at":"2026-05-18T01:00:46Z"},{"alias_kind":"arxiv_version","alias_value":"1404.5100v3","created_at":"2026-05-18T01:00:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.5100","created_at":"2026-05-18T01:00:46Z"},{"alias_kind":"pith_short_12","alias_value":"EXCVGX5QH4PW","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"EXCVGX5QH4PWWUEW","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"EXCVGX5Q","created_at":"2026-05-18T12:28:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:EXCVGX5QH4PWWUEWQMRGRFF5ZE","target":"record","payload":{"canonical_record":{"source":{"id":"1404.5100","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-04-21T03:33:16Z","cross_cats_sorted":["stat.CO"],"title_canon_sha256":"72b0fe6f22fa7bc04132330b854e5a3318891e7827a17754a8f46b31b61d2dc1","abstract_canon_sha256":"7614f84b5f76c5a326c4401271e495b6bc4e6dd0cc6d14ca5a6c4f4767c1ef9e"},"schema_version":"1.0"},"canonical_sha256":"25c5535fb03f1f6b509683226894bdc934b7d23722756744d0b6e56f79f9e380","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:00:46.440581Z","signature_b64":"wVAmuUMyKBEnCfJ8fBK+YtmEcTTze4+aokJBJTjL9jcFaQMUywQ4oIdkVNnKDDOP2qzq4roJQAf1nAHQgoNOAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"25c5535fb03f1f6b509683226894bdc934b7d23722756744d0b6e56f79f9e380","last_reissued_at":"2026-05-18T01:00:46.440159Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:00:46.440159Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.5100","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":"2026-05-18T01:00:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vPWBkaH5spUdzuTscJcU2jbGdmX6Sycry70a7E3VTcRv1i3B0/l+LbCef+YjwyajQUYho95bvmcAZ3MrA7v4DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T15:06:17.485037Z"},"content_sha256":"a7028226845fb7722ffc37b52b634623225641bde9a02040e6f3dec19806e7f0","schema_version":"1.0","event_id":"sha256:a7028226845fb7722ffc37b52b634623225641bde9a02040e6f3dec19806e7f0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:EXCVGX5QH4PWWUEWQMRGRFF5ZE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Convergence of cyclic coordinatewise l1 minimization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.CO"],"primary_cat":"math.OC","authors_text":"Bala Rajaratnam, Kshitij Khare","submitted_at":"2014-04-21T03:33:16Z","abstract_excerpt":"We consider the general problem of minimizing an objective function which is the sum of a convex function (not strictly convex) and absolute values of a subset of variables (or equivalently the l1-norm of the variables). This problem appears exten- sively in modern statistical applications associated with high-dimensional data or \"big data\", and corresponds to optimizing l1-regularized likelihoods in the context of model selection. In such applications, cyclic coordinatewise minimization (CCM), where the objective function is sequentially minimized with respect to each individual coordi- nate,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.5100","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":""},"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":"2026-05-18T01:00:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9AYj4K7QCXVfDPJk5ZjaEb1GGA+KW4xY1FW3aXts01L+rnSEhIdkG+wIQx2/PB+1O2zMBt/IEFc+At3JyFiHBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T15:06:17.485389Z"},"content_sha256":"560811ee329239bb334b1ba670fcf6e9077b9d1ec9418ca0a6916cefdcd07610","schema_version":"1.0","event_id":"sha256:560811ee329239bb334b1ba670fcf6e9077b9d1ec9418ca0a6916cefdcd07610"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EXCVGX5QH4PWWUEWQMRGRFF5ZE/bundle.json","state_url":"https://pith.science/pith/EXCVGX5QH4PWWUEWQMRGRFF5ZE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EXCVGX5QH4PWWUEWQMRGRFF5ZE/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":"2026-06-27T15:06:17Z","links":{"resolver":"https://pith.science/pith/EXCVGX5QH4PWWUEWQMRGRFF5ZE","bundle":"https://pith.science/pith/EXCVGX5QH4PWWUEWQMRGRFF5ZE/bundle.json","state":"https://pith.science/pith/EXCVGX5QH4PWWUEWQMRGRFF5ZE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EXCVGX5QH4PWWUEWQMRGRFF5ZE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:EXCVGX5QH4PWWUEWQMRGRFF5ZE","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":"7614f84b5f76c5a326c4401271e495b6bc4e6dd0cc6d14ca5a6c4f4767c1ef9e","cross_cats_sorted":["stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-04-21T03:33:16Z","title_canon_sha256":"72b0fe6f22fa7bc04132330b854e5a3318891e7827a17754a8f46b31b61d2dc1"},"schema_version":"1.0","source":{"id":"1404.5100","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.5100","created_at":"2026-05-18T01:00:46Z"},{"alias_kind":"arxiv_version","alias_value":"1404.5100v3","created_at":"2026-05-18T01:00:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.5100","created_at":"2026-05-18T01:00:46Z"},{"alias_kind":"pith_short_12","alias_value":"EXCVGX5QH4PW","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"EXCVGX5QH4PWWUEW","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"EXCVGX5Q","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:560811ee329239bb334b1ba670fcf6e9077b9d1ec9418ca0a6916cefdcd07610","target":"graph","created_at":"2026-05-18T01:00:46Z","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 consider the general problem of minimizing an objective function which is the sum of a convex function (not strictly convex) and absolute values of a subset of variables (or equivalently the l1-norm of the variables). This problem appears exten- sively in modern statistical applications associated with high-dimensional data or \"big data\", and corresponds to optimizing l1-regularized likelihoods in the context of model selection. In such applications, cyclic coordinatewise minimization (CCM), where the objective function is sequentially minimized with respect to each individual coordi- nate,","authors_text":"Bala Rajaratnam, Kshitij Khare","cross_cats":["stat.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-04-21T03:33:16Z","title":"Convergence of cyclic coordinatewise l1 minimization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.5100","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:a7028226845fb7722ffc37b52b634623225641bde9a02040e6f3dec19806e7f0","target":"record","created_at":"2026-05-18T01:00:46Z","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":"7614f84b5f76c5a326c4401271e495b6bc4e6dd0cc6d14ca5a6c4f4767c1ef9e","cross_cats_sorted":["stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-04-21T03:33:16Z","title_canon_sha256":"72b0fe6f22fa7bc04132330b854e5a3318891e7827a17754a8f46b31b61d2dc1"},"schema_version":"1.0","source":{"id":"1404.5100","kind":"arxiv","version":3}},"canonical_sha256":"25c5535fb03f1f6b509683226894bdc934b7d23722756744d0b6e56f79f9e380","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"25c5535fb03f1f6b509683226894bdc934b7d23722756744d0b6e56f79f9e380","first_computed_at":"2026-05-18T01:00:46.440159Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:00:46.440159Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wVAmuUMyKBEnCfJ8fBK+YtmEcTTze4+aokJBJTjL9jcFaQMUywQ4oIdkVNnKDDOP2qzq4roJQAf1nAHQgoNOAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:00:46.440581Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.5100","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a7028226845fb7722ffc37b52b634623225641bde9a02040e6f3dec19806e7f0","sha256:560811ee329239bb334b1ba670fcf6e9077b9d1ec9418ca0a6916cefdcd07610"],"state_sha256":"2ebc8d89f7127b80a52ff30255555402a26b4f54682d7bf757da17b40fd473d7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XTK01YZ85IEgDJFUla/Q2eJ3gqqnliH7htNSXzrmLa9I+161EQ7N93rGpX7zzjzYxcrXUX+uw69scQtPpgrMBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T15:06:17.487304Z","bundle_sha256":"66bd733adaf91c8c1683454c8d9fcbaed8cb8fea988658d271a6275fd6f5d471"}}