{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:WY74HDH5T3T4V3RSGDEJ7XE6PS","short_pith_number":"pith:WY74HDH5","canonical_record":{"source":{"id":"1507.03713","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-07-14T03:51:26Z","cross_cats_sorted":[],"title_canon_sha256":"26593fae047ace44503f033433d6e184b1488b14a682520ed467057532a9cb62","abstract_canon_sha256":"88a1cb19437c0502cdaad8baadb67ebbf7deef1e52acd1e752c39ac03db1490b"},"schema_version":"1.0"},"canonical_sha256":"b63fc38cfd9ee7caee3230c89fdc9e7c8bb93bec5211d529e19bafc4560d54ae","source":{"kind":"arxiv","id":"1507.03713","version":6},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.03713","created_at":"2026-05-18T00:22:33Z"},{"alias_kind":"arxiv_version","alias_value":"1507.03713v6","created_at":"2026-05-18T00:22:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.03713","created_at":"2026-05-18T00:22:33Z"},{"alias_kind":"pith_short_12","alias_value":"WY74HDH5T3T4","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WY74HDH5T3T4V3RS","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WY74HDH5","created_at":"2026-05-18T12:29:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:WY74HDH5T3T4V3RSGDEJ7XE6PS","target":"record","payload":{"canonical_record":{"source":{"id":"1507.03713","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-07-14T03:51:26Z","cross_cats_sorted":[],"title_canon_sha256":"26593fae047ace44503f033433d6e184b1488b14a682520ed467057532a9cb62","abstract_canon_sha256":"88a1cb19437c0502cdaad8baadb67ebbf7deef1e52acd1e752c39ac03db1490b"},"schema_version":"1.0"},"canonical_sha256":"b63fc38cfd9ee7caee3230c89fdc9e7c8bb93bec5211d529e19bafc4560d54ae","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:33.526836Z","signature_b64":"IOi3IlRshSQWm87Os9y5bvoH8L9PDwnXXt3mxp3lt5wUOgy55WL7iMkRkmt2wewUHavNUiNq4Y4PbQkDxg/nAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b63fc38cfd9ee7caee3230c89fdc9e7c8bb93bec5211d529e19bafc4560d54ae","last_reissued_at":"2026-05-18T00:22:33.526246Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:33.526246Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1507.03713","source_version":6,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:22:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cOiriQMk+JQ6pgXZvGuRIXE2Z4vHjS7yECunXzIKqALnmjh7nZt+d7D5568cnCR8jRM3wFj5NT+HYWSZ0m9iAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T08:02:02.526412Z"},"content_sha256":"d7ab9074264e68ff964895537956cf2fce77575de3d9077b64df442e0dde8c74","schema_version":"1.0","event_id":"sha256:d7ab9074264e68ff964895537956cf2fce77575de3d9077b64df442e0dde8c74"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:WY74HDH5T3T4V3RSGDEJ7XE6PS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Flexible Coordinate Descent Method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Kimon Fountoulakis, Rachael Tappenden","submitted_at":"2015-07-14T03:51:26Z","abstract_excerpt":"We present a novel randomized block coordinate descent method for the minimization of a convex composite objective function. The method uses (approximate) partial second-order (curvature) information, so that the algorithm performance is more robust when applied to highly nonseparable or ill conditioned problems. We call the method Flexible Coordinate Descent (FCD). At each iteration of FCD, a block of coordinates is sampled randomly, a quadratic model is formed about that block and the model is minimized \\emph{approximately/inexactly} to determine the search direction. An inexpensive line sea"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.03713","kind":"arxiv","version":6},"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":"2026-05-18T00:22:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4fdA/djZPk7s018W/OlHybBBpU2fRX3x+xPE0CSi5MEIHqZ00FdoLE3uBuVfQ3C4RLb0pRwi3QxIpV3yRFCZAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T08:02:02.526822Z"},"content_sha256":"52609fb088f63edb1cf6c5a42e8d3e53764afba7d518b294bc82d57c8996e337","schema_version":"1.0","event_id":"sha256:52609fb088f63edb1cf6c5a42e8d3e53764afba7d518b294bc82d57c8996e337"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WY74HDH5T3T4V3RSGDEJ7XE6PS/bundle.json","state_url":"https://pith.science/pith/WY74HDH5T3T4V3RSGDEJ7XE6PS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WY74HDH5T3T4V3RSGDEJ7XE6PS/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":"2026-06-03T08:02:02Z","links":{"resolver":"https://pith.science/pith/WY74HDH5T3T4V3RSGDEJ7XE6PS","bundle":"https://pith.science/pith/WY74HDH5T3T4V3RSGDEJ7XE6PS/bundle.json","state":"https://pith.science/pith/WY74HDH5T3T4V3RSGDEJ7XE6PS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WY74HDH5T3T4V3RSGDEJ7XE6PS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:WY74HDH5T3T4V3RSGDEJ7XE6PS","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":"88a1cb19437c0502cdaad8baadb67ebbf7deef1e52acd1e752c39ac03db1490b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-07-14T03:51:26Z","title_canon_sha256":"26593fae047ace44503f033433d6e184b1488b14a682520ed467057532a9cb62"},"schema_version":"1.0","source":{"id":"1507.03713","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.03713","created_at":"2026-05-18T00:22:33Z"},{"alias_kind":"arxiv_version","alias_value":"1507.03713v6","created_at":"2026-05-18T00:22:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.03713","created_at":"2026-05-18T00:22:33Z"},{"alias_kind":"pith_short_12","alias_value":"WY74HDH5T3T4","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WY74HDH5T3T4V3RS","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WY74HDH5","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:52609fb088f63edb1cf6c5a42e8d3e53764afba7d518b294bc82d57c8996e337","target":"graph","created_at":"2026-05-18T00:22:33Z","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 present a novel randomized block coordinate descent method for the minimization of a convex composite objective function. The method uses (approximate) partial second-order (curvature) information, so that the algorithm performance is more robust when applied to highly nonseparable or ill conditioned problems. We call the method Flexible Coordinate Descent (FCD). At each iteration of FCD, a block of coordinates is sampled randomly, a quadratic model is formed about that block and the model is minimized \\emph{approximately/inexactly} to determine the search direction. An inexpensive line sea","authors_text":"Kimon Fountoulakis, Rachael Tappenden","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-07-14T03:51:26Z","title":"A Flexible Coordinate Descent Method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.03713","kind":"arxiv","version":6},"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:d7ab9074264e68ff964895537956cf2fce77575de3d9077b64df442e0dde8c74","target":"record","created_at":"2026-05-18T00:22:33Z","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":"88a1cb19437c0502cdaad8baadb67ebbf7deef1e52acd1e752c39ac03db1490b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-07-14T03:51:26Z","title_canon_sha256":"26593fae047ace44503f033433d6e184b1488b14a682520ed467057532a9cb62"},"schema_version":"1.0","source":{"id":"1507.03713","kind":"arxiv","version":6}},"canonical_sha256":"b63fc38cfd9ee7caee3230c89fdc9e7c8bb93bec5211d529e19bafc4560d54ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b63fc38cfd9ee7caee3230c89fdc9e7c8bb93bec5211d529e19bafc4560d54ae","first_computed_at":"2026-05-18T00:22:33.526246Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:33.526246Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IOi3IlRshSQWm87Os9y5bvoH8L9PDwnXXt3mxp3lt5wUOgy55WL7iMkRkmt2wewUHavNUiNq4Y4PbQkDxg/nAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:33.526836Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.03713","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d7ab9074264e68ff964895537956cf2fce77575de3d9077b64df442e0dde8c74","sha256:52609fb088f63edb1cf6c5a42e8d3e53764afba7d518b294bc82d57c8996e337"],"state_sha256":"606aa25cf75b9a1c25bcd2d258dd4ec8fc4b4ce93995c7b0d9f4839ac071ae24"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"navZUwNFq64rUVywz0LXGharDFHeAYBId2vmugjCRaM+iHH8H/oS/jHRaYXKKAw+D1vMwTf60d6sIyydZdEIDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T08:02:02.528812Z","bundle_sha256":"0cf315710e8479e2eed51f0e210266bea2e545ad815ada4f41077b6390d4bef5"}}