{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:4UBJOBYXM6N47Z6FFKKWGHVI2T","short_pith_number":"pith:4UBJOBYX","canonical_record":{"source":{"id":"1601.00863","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-01-05T15:33:05Z","cross_cats_sorted":["cs.CE","cs.DC","math.NA","stat.ML"],"title_canon_sha256":"7a24eb4e0c6a558c7659f594430f8f7b9c1ee83d16bb305025b41ace87439837","abstract_canon_sha256":"76eec73fe83ffde5a852b2046559e28c522b157abd6e881d0e4a491bd8f5a36f"},"schema_version":"1.0"},"canonical_sha256":"e502970717679bcfe7c52a95631ea8d4e9afbc08a5988a1adfad0cf3d7ad98c1","source":{"kind":"arxiv","id":"1601.00863","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.00863","created_at":"2026-05-18T01:09:06Z"},{"alias_kind":"arxiv_version","alias_value":"1601.00863v3","created_at":"2026-05-18T01:09:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.00863","created_at":"2026-05-18T01:09:06Z"},{"alias_kind":"pith_short_12","alias_value":"4UBJOBYXM6N4","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"4UBJOBYXM6N47Z6F","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"4UBJOBYX","created_at":"2026-05-18T12:29:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:4UBJOBYXM6N47Z6FFKKWGHVI2T","target":"record","payload":{"canonical_record":{"source":{"id":"1601.00863","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-01-05T15:33:05Z","cross_cats_sorted":["cs.CE","cs.DC","math.NA","stat.ML"],"title_canon_sha256":"7a24eb4e0c6a558c7659f594430f8f7b9c1ee83d16bb305025b41ace87439837","abstract_canon_sha256":"76eec73fe83ffde5a852b2046559e28c522b157abd6e881d0e4a491bd8f5a36f"},"schema_version":"1.0"},"canonical_sha256":"e502970717679bcfe7c52a95631ea8d4e9afbc08a5988a1adfad0cf3d7ad98c1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:06.799550Z","signature_b64":"vjtCBMc3476jYRZ2xEnWb7vHObw/mkuOFA8JGBXTJYia1uDPn9h03qB1oeVjSv0tcx3wGiQvE8BjqFPsjfErAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e502970717679bcfe7c52a95631ea8d4e9afbc08a5988a1adfad0cf3d7ad98c1","last_reissued_at":"2026-05-18T01:09:06.799014Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:06.799014Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.00863","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":"2026-05-18T01:09:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WQdSjg77tPUpQ6vRo2hGGls8uLHVlsmUW1aFfu9iqwy9NEc1Z15uuXcJBWBtKT7sfDoA3inkeV+G5AjZETYOAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T00:05:17.420989Z"},"content_sha256":"c47a67f86c7f8cbd13f121278b492d255633d14bf4594bf8cbfd5eb6baa04ec8","schema_version":"1.0","event_id":"sha256:c47a67f86c7f8cbd13f121278b492d255633d14bf4594bf8cbfd5eb6baa04ec8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:4UBJOBYXM6N47Z6FFKKWGHVI2T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Coordinate Friendly Structures, Algorithms and Applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CE","cs.DC","math.NA","stat.ML"],"primary_cat":"math.OC","authors_text":"Ming Yan, Tianyu Wu, Wotao Yin, Yangyang Xu, Zhimin Peng","submitted_at":"2016-01-05T15:33:05Z","abstract_excerpt":"This paper focuses on coordinate update methods, which are useful for solving problems involving large or high-dimensional datasets. They decompose a problem into simple subproblems, where each updates one, or a small block of, variables while fixing others. These methods can deal with linear and nonlinear mappings, smooth and nonsmooth functions, as well as convex and nonconvex problems. In addition, they are easy to parallelize.\n  The great performance of coordinate update methods depends on solving simple sub-problems. To derive simple subproblems for several new classes of applications, th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.00863","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":"2026-05-18T01:09:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B9rSJNlL7HrvimCSUqL4p+XABg6QnZhK3ILwY+y8YICWrgFhsacH0fI4o9jFxtW//OyiHtrSlbD24SatiB63DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T00:05:17.421683Z"},"content_sha256":"8422598b2be47d67a6f9cdd352558ebb9a69acb3321405ec59cbbda6f9d8b700","schema_version":"1.0","event_id":"sha256:8422598b2be47d67a6f9cdd352558ebb9a69acb3321405ec59cbbda6f9d8b700"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4UBJOBYXM6N47Z6FFKKWGHVI2T/bundle.json","state_url":"https://pith.science/pith/4UBJOBYXM6N47Z6FFKKWGHVI2T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4UBJOBYXM6N47Z6FFKKWGHVI2T/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":"2026-05-30T00:05:17Z","links":{"resolver":"https://pith.science/pith/4UBJOBYXM6N47Z6FFKKWGHVI2T","bundle":"https://pith.science/pith/4UBJOBYXM6N47Z6FFKKWGHVI2T/bundle.json","state":"https://pith.science/pith/4UBJOBYXM6N47Z6FFKKWGHVI2T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4UBJOBYXM6N47Z6FFKKWGHVI2T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:4UBJOBYXM6N47Z6FFKKWGHVI2T","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":"76eec73fe83ffde5a852b2046559e28c522b157abd6e881d0e4a491bd8f5a36f","cross_cats_sorted":["cs.CE","cs.DC","math.NA","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-01-05T15:33:05Z","title_canon_sha256":"7a24eb4e0c6a558c7659f594430f8f7b9c1ee83d16bb305025b41ace87439837"},"schema_version":"1.0","source":{"id":"1601.00863","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.00863","created_at":"2026-05-18T01:09:06Z"},{"alias_kind":"arxiv_version","alias_value":"1601.00863v3","created_at":"2026-05-18T01:09:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.00863","created_at":"2026-05-18T01:09:06Z"},{"alias_kind":"pith_short_12","alias_value":"4UBJOBYXM6N4","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"4UBJOBYXM6N47Z6F","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"4UBJOBYX","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:8422598b2be47d67a6f9cdd352558ebb9a69acb3321405ec59cbbda6f9d8b700","target":"graph","created_at":"2026-05-18T01:09:06Z","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":"This paper focuses on coordinate update methods, which are useful for solving problems involving large or high-dimensional datasets. They decompose a problem into simple subproblems, where each updates one, or a small block of, variables while fixing others. These methods can deal with linear and nonlinear mappings, smooth and nonsmooth functions, as well as convex and nonconvex problems. In addition, they are easy to parallelize.\n  The great performance of coordinate update methods depends on solving simple sub-problems. To derive simple subproblems for several new classes of applications, th","authors_text":"Ming Yan, Tianyu Wu, Wotao Yin, Yangyang Xu, Zhimin Peng","cross_cats":["cs.CE","cs.DC","math.NA","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-01-05T15:33:05Z","title":"Coordinate Friendly Structures, Algorithms and Applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.00863","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:c47a67f86c7f8cbd13f121278b492d255633d14bf4594bf8cbfd5eb6baa04ec8","target":"record","created_at":"2026-05-18T01:09:06Z","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":"76eec73fe83ffde5a852b2046559e28c522b157abd6e881d0e4a491bd8f5a36f","cross_cats_sorted":["cs.CE","cs.DC","math.NA","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-01-05T15:33:05Z","title_canon_sha256":"7a24eb4e0c6a558c7659f594430f8f7b9c1ee83d16bb305025b41ace87439837"},"schema_version":"1.0","source":{"id":"1601.00863","kind":"arxiv","version":3}},"canonical_sha256":"e502970717679bcfe7c52a95631ea8d4e9afbc08a5988a1adfad0cf3d7ad98c1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e502970717679bcfe7c52a95631ea8d4e9afbc08a5988a1adfad0cf3d7ad98c1","first_computed_at":"2026-05-18T01:09:06.799014Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:06.799014Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vjtCBMc3476jYRZ2xEnWb7vHObw/mkuOFA8JGBXTJYia1uDPn9h03qB1oeVjSv0tcx3wGiQvE8BjqFPsjfErAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:06.799550Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.00863","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c47a67f86c7f8cbd13f121278b492d255633d14bf4594bf8cbfd5eb6baa04ec8","sha256:8422598b2be47d67a6f9cdd352558ebb9a69acb3321405ec59cbbda6f9d8b700"],"state_sha256":"47f796220637e70415b430450982b0a250e5f412267a4f5004b3ac669e1d31cd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ogLEPRyeNL8ZAKO0Yl7OtR2qurJn4sYnUcICu2BHG6KHSBdQhU5H1xg9TZlUdYqdBA/9D37+WXsRJObpB2cLDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T00:05:17.425767Z","bundle_sha256":"5eaa6ea4b2e9c7ab6747d642f96c36a6bcc827f3e696759142f992c1b1117da4"}}