{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:25LF6QUI5BQIEKBSWGDJVJGVC7","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":"a2d0a9204d2cbd4a2c439bb9e60902398b53f3565922e0b5a66fab14d4b4dd1e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-10-17T11:39:54Z","title_canon_sha256":"dfd7d23794d2367109fe1603826d49430725fffefa257d097c67447260da8376"},"schema_version":"1.0","source":{"id":"2010.08772","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.08772","created_at":"2026-07-05T03:24:55Z"},{"alias_kind":"arxiv_version","alias_value":"2010.08772v3","created_at":"2026-07-05T03:24:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.08772","created_at":"2026-07-05T03:24:55Z"},{"alias_kind":"pith_short_12","alias_value":"25LF6QUI5BQI","created_at":"2026-07-05T03:24:55Z"},{"alias_kind":"pith_short_16","alias_value":"25LF6QUI5BQIEKBS","created_at":"2026-07-05T03:24:55Z"},{"alias_kind":"pith_short_8","alias_value":"25LF6QUI","created_at":"2026-07-05T03:24:55Z"}],"graph_snapshots":[{"event_id":"sha256:daf0e28b0e1d6849d6f22b02c9ab5094f4c62b41432202341f1853327d2b24a8","target":"graph","created_at":"2026-07-05T03:24:55Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2010.08772/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we adopt the augmented Lagrangian method (ALM) to solve convex quadratic second-order cone programming problems (SOCPs). Fruitful results on the efficiency of the ALM have been established in the literature. Recently, it has been shown in [Cui, Sun, and Toh, {\\em Math. Program.}, 178 (2019), pp. 381--415] that if the quadratic growth condition holds at an optimal solution for the dual problem, then the KKT residual converges to zero R-superlinearly when the ALM is applied to the primal problem. Moreover, Cui, Ding, and Zhao [{\\em SIAM J. Optim.}, 27 (2017), pp. 2332-2355] provid","authors_text":"Defeng Sun, Kim-Chuan Toh, Ling Liang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-10-17T11:39:54Z","title":"An Inexact Augmented Lagrangian Method for Second-order Cone Programming with Applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.08772","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:b8878354befacae20927e51038e19aff1279503ae8a721c2f28f240c2fd33cd3","target":"record","created_at":"2026-07-05T03:24:55Z","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":"a2d0a9204d2cbd4a2c439bb9e60902398b53f3565922e0b5a66fab14d4b4dd1e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-10-17T11:39:54Z","title_canon_sha256":"dfd7d23794d2367109fe1603826d49430725fffefa257d097c67447260da8376"},"schema_version":"1.0","source":{"id":"2010.08772","kind":"arxiv","version":3}},"canonical_sha256":"d7565f4288e860822832b1869aa4d517df47a215483c0fc15f4b7f2a1b7c1490","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d7565f4288e860822832b1869aa4d517df47a215483c0fc15f4b7f2a1b7c1490","first_computed_at":"2026-07-05T03:24:55.381605Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:24:55.381605Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d3Z28yyAthrHsllUPno90XKtn030TUPOn+SvBRu3UOVUiFhaV4nagSxi7ynYQFaWwI+KF3Zamss0/AqzPMdZAA==","signature_status":"signed_v1","signed_at":"2026-07-05T03:24:55.382036Z","signed_message":"canonical_sha256_bytes"},"source_id":"2010.08772","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b8878354befacae20927e51038e19aff1279503ae8a721c2f28f240c2fd33cd3","sha256:daf0e28b0e1d6849d6f22b02c9ab5094f4c62b41432202341f1853327d2b24a8"],"state_sha256":"e37d701c776983f4cae90318d4eec9de0b9562c73dc560165997916e42550aa0"}