{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:WB22U5A7L6TBDSCWZ5AWSRBWVC","short_pith_number":"pith:WB22U5A7","canonical_record":{"source":{"id":"1611.01828","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-11-06T19:31:14Z","cross_cats_sorted":[],"title_canon_sha256":"0d11b6631fdae3e354c89c2784433b3a52e0f04f591ac1895a6137fc6eb4ce1a","abstract_canon_sha256":"7d4d94aaaa9ee7bc5eea2f609b0c93ba36e9328bd7873cf68fe65e7d891e48a3"},"schema_version":"1.0"},"canonical_sha256":"b075aa741f5fa611c856cf41694436a889e1bc844705769fd3d0200be7bcfdb9","source":{"kind":"arxiv","id":"1611.01828","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.01828","created_at":"2026-05-18T00:28:27Z"},{"alias_kind":"arxiv_version","alias_value":"1611.01828v2","created_at":"2026-05-18T00:28:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.01828","created_at":"2026-05-18T00:28:27Z"},{"alias_kind":"pith_short_12","alias_value":"WB22U5A7L6TB","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"WB22U5A7L6TBDSCW","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"WB22U5A7","created_at":"2026-05-18T12:30:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:WB22U5A7L6TBDSCWZ5AWSRBWVC","target":"record","payload":{"canonical_record":{"source":{"id":"1611.01828","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-11-06T19:31:14Z","cross_cats_sorted":[],"title_canon_sha256":"0d11b6631fdae3e354c89c2784433b3a52e0f04f591ac1895a6137fc6eb4ce1a","abstract_canon_sha256":"7d4d94aaaa9ee7bc5eea2f609b0c93ba36e9328bd7873cf68fe65e7d891e48a3"},"schema_version":"1.0"},"canonical_sha256":"b075aa741f5fa611c856cf41694436a889e1bc844705769fd3d0200be7bcfdb9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:27.007014Z","signature_b64":"OuMc4nGgS+6Y+zKs1Dj3GcgT/qwdtg3tb/JGt4L/kSEsv9YAmDb9lOMFqOK4VKBF+7JqawEbk40/qY4my7lrAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b075aa741f5fa611c856cf41694436a889e1bc844705769fd3d0200be7bcfdb9","last_reissued_at":"2026-05-18T00:28:27.006403Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:27.006403Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.01828","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:28:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VHbmXJImgLDQbeGsfwrB7Q1/wNDG0JqusrNtyNx5CClGEG63qZ7YVijEpKIm4UQCxVt1+xiX6WgfndTfxqTnAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T13:55:49.373714Z"},"content_sha256":"51a959dd290794a18ac971799422b40ee99350c2dc9ef5d288db191400385fde","schema_version":"1.0","event_id":"sha256:51a959dd290794a18ac971799422b40ee99350c2dc9ef5d288db191400385fde"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:WB22U5A7L6TBDSCWZ5AWSRBWVC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fast ADMM for homogeneous self-dual embedding of sparse SDPs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Andrew Wynn, Antonis Papachristodoulou, Giovanni Fantuzzi, Paul Goulart, Yang Zheng","submitted_at":"2016-11-06T19:31:14Z","abstract_excerpt":"We propose an efficient first-order method, based on the alternating direction method of multipliers (ADMM), to solve the homogeneous self-dual embedding problem for a primal-dual pair of semidefinite programs (SDPs) with chordal sparsity. Using a series of block eliminations, the per-iteration cost of our method is the same as applying a splitting method to the primal or dual alone. Moreover, our approach is more efficient than other first-order methods for generic sparse conic programs since we work with smaller semidefinite cones. In contrast to previous first-order methods that exploit cho"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.01828","kind":"arxiv","version":2},"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":"2026-05-18T00:28:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yOBwlDePanmqkDLyXbb2adOYaOI/0ZQBZEHE9A/51nfs0vy1FX7ZSuRRrZJYM4U76upW4ZNtTya1JVZ5cVlyDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T13:55:49.374370Z"},"content_sha256":"750893cf43929e70be299a2d387983f6ae36112070980a07e06e53ce2c2b045c","schema_version":"1.0","event_id":"sha256:750893cf43929e70be299a2d387983f6ae36112070980a07e06e53ce2c2b045c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WB22U5A7L6TBDSCWZ5AWSRBWVC/bundle.json","state_url":"https://pith.science/pith/WB22U5A7L6TBDSCWZ5AWSRBWVC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WB22U5A7L6TBDSCWZ5AWSRBWVC/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":"2026-05-26T13:55:49Z","links":{"resolver":"https://pith.science/pith/WB22U5A7L6TBDSCWZ5AWSRBWVC","bundle":"https://pith.science/pith/WB22U5A7L6TBDSCWZ5AWSRBWVC/bundle.json","state":"https://pith.science/pith/WB22U5A7L6TBDSCWZ5AWSRBWVC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WB22U5A7L6TBDSCWZ5AWSRBWVC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:WB22U5A7L6TBDSCWZ5AWSRBWVC","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":"7d4d94aaaa9ee7bc5eea2f609b0c93ba36e9328bd7873cf68fe65e7d891e48a3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-11-06T19:31:14Z","title_canon_sha256":"0d11b6631fdae3e354c89c2784433b3a52e0f04f591ac1895a6137fc6eb4ce1a"},"schema_version":"1.0","source":{"id":"1611.01828","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.01828","created_at":"2026-05-18T00:28:27Z"},{"alias_kind":"arxiv_version","alias_value":"1611.01828v2","created_at":"2026-05-18T00:28:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.01828","created_at":"2026-05-18T00:28:27Z"},{"alias_kind":"pith_short_12","alias_value":"WB22U5A7L6TB","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"WB22U5A7L6TBDSCW","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"WB22U5A7","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:750893cf43929e70be299a2d387983f6ae36112070980a07e06e53ce2c2b045c","target":"graph","created_at":"2026-05-18T00:28:27Z","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 an efficient first-order method, based on the alternating direction method of multipliers (ADMM), to solve the homogeneous self-dual embedding problem for a primal-dual pair of semidefinite programs (SDPs) with chordal sparsity. Using a series of block eliminations, the per-iteration cost of our method is the same as applying a splitting method to the primal or dual alone. Moreover, our approach is more efficient than other first-order methods for generic sparse conic programs since we work with smaller semidefinite cones. In contrast to previous first-order methods that exploit cho","authors_text":"Andrew Wynn, Antonis Papachristodoulou, Giovanni Fantuzzi, Paul Goulart, Yang Zheng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-11-06T19:31:14Z","title":"Fast ADMM for homogeneous self-dual embedding of sparse SDPs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.01828","kind":"arxiv","version":2},"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":"sha256:51a959dd290794a18ac971799422b40ee99350c2dc9ef5d288db191400385fde","target":"record","created_at":"2026-05-18T00:28:27Z","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":"7d4d94aaaa9ee7bc5eea2f609b0c93ba36e9328bd7873cf68fe65e7d891e48a3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-11-06T19:31:14Z","title_canon_sha256":"0d11b6631fdae3e354c89c2784433b3a52e0f04f591ac1895a6137fc6eb4ce1a"},"schema_version":"1.0","source":{"id":"1611.01828","kind":"arxiv","version":2}},"canonical_sha256":"b075aa741f5fa611c856cf41694436a889e1bc844705769fd3d0200be7bcfdb9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b075aa741f5fa611c856cf41694436a889e1bc844705769fd3d0200be7bcfdb9","first_computed_at":"2026-05-18T00:28:27.006403Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:28:27.006403Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OuMc4nGgS+6Y+zKs1Dj3GcgT/qwdtg3tb/JGt4L/kSEsv9YAmDb9lOMFqOK4VKBF+7JqawEbk40/qY4my7lrAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:28:27.007014Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.01828","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51a959dd290794a18ac971799422b40ee99350c2dc9ef5d288db191400385fde","sha256:750893cf43929e70be299a2d387983f6ae36112070980a07e06e53ce2c2b045c"],"state_sha256":"d7e817b69ce5d36da23ff2fb01cede998c6233d194629e702eff7a42e164b0b2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YmEISsyvOAq0LvQ/BEy6Y3ygupmGV4ERSEb7pwcj5UhdT7rpN6wBUnrWAVg7HD5xvg0MTrc/IubgNkP4mTGcBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T13:55:49.377840Z","bundle_sha256":"6cdd8e96bd3fc84c022df38a99637f0f5afd3bb682e4d75c5df8c7d728d0e2a9"}}