{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:EPMCZXFTU6OVO7WHL5QN2D4VSS","short_pith_number":"pith:EPMCZXFT","canonical_record":{"source":{"id":"1201.0306","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2011-12-31T19:30:44Z","cross_cats_sorted":[],"title_canon_sha256":"a294ce35464b4a76b7b10af9e0f6d4b8f54c3adab7b975abededc4463a4781a8","abstract_canon_sha256":"ff7147d0ce47dc188998367ca766739cb598e5f0d65818a2be69b5335f2fe5cb"},"schema_version":"1.0"},"canonical_sha256":"23d82cdcb3a79d577ec75f60dd0f9594b6d8a1cb5c0c0c623eea52e57c7f226e","source":{"kind":"arxiv","id":"1201.0306","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.0306","created_at":"2026-05-18T02:55:48Z"},{"alias_kind":"arxiv_version","alias_value":"1201.0306v3","created_at":"2026-05-18T02:55:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.0306","created_at":"2026-05-18T02:55:48Z"},{"alias_kind":"pith_short_12","alias_value":"EPMCZXFTU6OV","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"EPMCZXFTU6OVO7WH","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"EPMCZXFT","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:EPMCZXFTU6OVO7WHL5QN2D4VSS","target":"record","payload":{"canonical_record":{"source":{"id":"1201.0306","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2011-12-31T19:30:44Z","cross_cats_sorted":[],"title_canon_sha256":"a294ce35464b4a76b7b10af9e0f6d4b8f54c3adab7b975abededc4463a4781a8","abstract_canon_sha256":"ff7147d0ce47dc188998367ca766739cb598e5f0d65818a2be69b5335f2fe5cb"},"schema_version":"1.0"},"canonical_sha256":"23d82cdcb3a79d577ec75f60dd0f9594b6d8a1cb5c0c0c623eea52e57c7f226e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:55:48.723157Z","signature_b64":"qZNoNEk9hXbF1evjMD2jCmnDHxWcftyYLiTcfzdDKmWtIPanKB7YSxjUwGKug5Z33VfMi+3Clst8MFWtl0T6AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"23d82cdcb3a79d577ec75f60dd0f9594b6d8a1cb5c0c0c623eea52e57c7f226e","last_reissued_at":"2026-05-18T02:55:48.722352Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:55:48.722352Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1201.0306","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":"2026-05-18T02:55:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FGV8i5haB2w8tFPmt1MJkNMN2bdUuuwVvxpisr6Ok84rKuFp0kFlVZdP45qJ5AUmcMvAtWrkTw3cAqoMViflDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T20:06:57.572944Z"},"content_sha256":"0144468002e632d7e3f60e6fd8a5d81154820d5b351762ad8550eef7bdcfb603","schema_version":"1.0","event_id":"sha256:0144468002e632d7e3f60e6fd8a5d81154820d5b351762ad8550eef7bdcfb603"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:EPMCZXFTU6OVO7WHL5QN2D4VSS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Alternating Linearization for Structured Regularization Problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.CO","authors_text":"Andrzej Ruszczynski, Minh Pham, Xiaodong Lin","submitted_at":"2011-12-31T19:30:44Z","abstract_excerpt":"We adapt the alternating linearization method for proximal decomposition to structured regularization problems, in particular, to the generalized lasso problems. The method is related to two well-known operator splitting methods, the Douglas--Rachford and the Peaceman--Rachford method, but it has descent properties with respect to the objective function. This is achieved by employing a special update test, which decides whether it is beneficial to make a Peaceman--Rachford step, any of the two possible Douglas--Rachford steps, or none. The convergence mechanism of the method is related to that"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.0306","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":"2026-05-18T02:55:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ST0P6OEclMFhMlSY83szMu3dJs3q/XlZAW4AfX8up3yxYt8turF6fU+9Q1VpgA68Fs9Aj9kPpITpTJ6q2OOgAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T20:06:57.573606Z"},"content_sha256":"9933c74ae4ca36072744b9869abf4bfe8dc9da03e7d4df62fb8ddb44bd6e4193","schema_version":"1.0","event_id":"sha256:9933c74ae4ca36072744b9869abf4bfe8dc9da03e7d4df62fb8ddb44bd6e4193"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EPMCZXFTU6OVO7WHL5QN2D4VSS/bundle.json","state_url":"https://pith.science/pith/EPMCZXFTU6OVO7WHL5QN2D4VSS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EPMCZXFTU6OVO7WHL5QN2D4VSS/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":"2026-05-28T20:06:57Z","links":{"resolver":"https://pith.science/pith/EPMCZXFTU6OVO7WHL5QN2D4VSS","bundle":"https://pith.science/pith/EPMCZXFTU6OVO7WHL5QN2D4VSS/bundle.json","state":"https://pith.science/pith/EPMCZXFTU6OVO7WHL5QN2D4VSS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EPMCZXFTU6OVO7WHL5QN2D4VSS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:EPMCZXFTU6OVO7WHL5QN2D4VSS","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":"ff7147d0ce47dc188998367ca766739cb598e5f0d65818a2be69b5335f2fe5cb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2011-12-31T19:30:44Z","title_canon_sha256":"a294ce35464b4a76b7b10af9e0f6d4b8f54c3adab7b975abededc4463a4781a8"},"schema_version":"1.0","source":{"id":"1201.0306","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.0306","created_at":"2026-05-18T02:55:48Z"},{"alias_kind":"arxiv_version","alias_value":"1201.0306v3","created_at":"2026-05-18T02:55:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.0306","created_at":"2026-05-18T02:55:48Z"},{"alias_kind":"pith_short_12","alias_value":"EPMCZXFTU6OV","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"EPMCZXFTU6OVO7WH","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"EPMCZXFT","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:9933c74ae4ca36072744b9869abf4bfe8dc9da03e7d4df62fb8ddb44bd6e4193","target":"graph","created_at":"2026-05-18T02:55:48Z","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 adapt the alternating linearization method for proximal decomposition to structured regularization problems, in particular, to the generalized lasso problems. The method is related to two well-known operator splitting methods, the Douglas--Rachford and the Peaceman--Rachford method, but it has descent properties with respect to the objective function. This is achieved by employing a special update test, which decides whether it is beneficial to make a Peaceman--Rachford step, any of the two possible Douglas--Rachford steps, or none. The convergence mechanism of the method is related to that","authors_text":"Andrzej Ruszczynski, Minh Pham, Xiaodong Lin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2011-12-31T19:30:44Z","title":"Alternating Linearization for Structured Regularization Problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.0306","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":"sha256:0144468002e632d7e3f60e6fd8a5d81154820d5b351762ad8550eef7bdcfb603","target":"record","created_at":"2026-05-18T02:55:48Z","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":"ff7147d0ce47dc188998367ca766739cb598e5f0d65818a2be69b5335f2fe5cb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2011-12-31T19:30:44Z","title_canon_sha256":"a294ce35464b4a76b7b10af9e0f6d4b8f54c3adab7b975abededc4463a4781a8"},"schema_version":"1.0","source":{"id":"1201.0306","kind":"arxiv","version":3}},"canonical_sha256":"23d82cdcb3a79d577ec75f60dd0f9594b6d8a1cb5c0c0c623eea52e57c7f226e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"23d82cdcb3a79d577ec75f60dd0f9594b6d8a1cb5c0c0c623eea52e57c7f226e","first_computed_at":"2026-05-18T02:55:48.722352Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:55:48.722352Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qZNoNEk9hXbF1evjMD2jCmnDHxWcftyYLiTcfzdDKmWtIPanKB7YSxjUwGKug5Z33VfMi+3Clst8MFWtl0T6AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:55:48.723157Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.0306","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0144468002e632d7e3f60e6fd8a5d81154820d5b351762ad8550eef7bdcfb603","sha256:9933c74ae4ca36072744b9869abf4bfe8dc9da03e7d4df62fb8ddb44bd6e4193"],"state_sha256":"e0d434e05ec45e9d1ad0d3ebb45af0f67772a88a8d108ebcdf3cdca5d57e11ab"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l2xdF/l/i1+BN2t2iqJ7CDIDXUmTXb4XRmrPtFreYBqwRCKOn5GMcEFtp+Ll2veVB88nBgVHfQ5Kge4eKS2jAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T20:06:57.576820Z","bundle_sha256":"76fcfd7fd94b9e2937dfb67aeeba306ffe45999ed4668b9aff814cb07d60ba74"}}