{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:Q3IIRHSZCBOX2HS7PT7UGMALH3","short_pith_number":"pith:Q3IIRHSZ","schema_version":"1.0","canonical_sha256":"86d0889e59105d7d1e5f7cff43300b3edc1ec7aee71b2a21288bcaa370b14a5a","source":{"kind":"arxiv","id":"2311.12180","version":4},"attestation_state":"computed","paper":{"title":"cuPDLP.jl: A GPU Implementation of Restarted Primal-Dual Hybrid Gradient for Linear Programming in Julia","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Haihao Lu, Jinwen Yang","submitted_at":"2023-11-20T20:50:49Z","abstract_excerpt":"In this paper, we provide an affirmative answer to the long-standing question: Are GPUs useful in solving linear programming? We present cuPDLP.jl, a GPU implementation of restarted primal-dual hybrid gradient (PDHG) for solving linear programming (LP). We show that this prototype implementation in Julia has comparable numerical performance on standard LP benchmark sets to Gurobi, a highly optimized implementation of the simplex and interior-point methods. This demonstrates the power of using GPUs in linear programming, which, for the first time, showcases that GPUs and first-order methods can"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2311.12180","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2023-11-20T20:50:49Z","cross_cats_sorted":[],"title_canon_sha256":"f147c26bf5fc602e603f12e6575beeb5f0baff7a16132604f6fe895e1ce5ae4b","abstract_canon_sha256":"6c204a6ad655b5eb2461d95abfedabaa9b3bb64bd73ff35388171fb4c74c5014"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:28:35.365357Z","signature_b64":"tx/+lt5AKzWHZ/1DZdeSaWGoFt6BEAB4LmUwX6mfmXTfd2icaAuRoL6eTj+o12xct+V43etImp3tEB02npSICA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"86d0889e59105d7d1e5f7cff43300b3edc1ec7aee71b2a21288bcaa370b14a5a","last_reissued_at":"2026-07-05T08:28:35.364906Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:28:35.364906Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"cuPDLP.jl: A GPU Implementation of Restarted Primal-Dual Hybrid Gradient for Linear Programming in Julia","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Haihao Lu, Jinwen Yang","submitted_at":"2023-11-20T20:50:49Z","abstract_excerpt":"In this paper, we provide an affirmative answer to the long-standing question: Are GPUs useful in solving linear programming? We present cuPDLP.jl, a GPU implementation of restarted primal-dual hybrid gradient (PDHG) for solving linear programming (LP). We show that this prototype implementation in Julia has comparable numerical performance on standard LP benchmark sets to Gurobi, a highly optimized implementation of the simplex and interior-point methods. This demonstrates the power of using GPUs in linear programming, which, for the first time, showcases that GPUs and first-order methods can"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.12180","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2311.12180/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2311.12180","created_at":"2026-07-05T08:28:35.364963+00:00"},{"alias_kind":"arxiv_version","alias_value":"2311.12180v4","created_at":"2026-07-05T08:28:35.364963+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.12180","created_at":"2026-07-05T08:28:35.364963+00:00"},{"alias_kind":"pith_short_12","alias_value":"Q3IIRHSZCBOX","created_at":"2026-07-05T08:28:35.364963+00:00"},{"alias_kind":"pith_short_16","alias_value":"Q3IIRHSZCBOX2HS7","created_at":"2026-07-05T08:28:35.364963+00:00"},{"alias_kind":"pith_short_8","alias_value":"Q3IIRHSZ","created_at":"2026-07-05T08:28:35.364963+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":8,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.07777","citing_title":"Large-Scale Regularized Matching on GPU Clusters","ref_index":10,"is_internal_anchor":false},{"citing_arxiv_id":"2402.01061","citing_title":"On the power of linear programming for K-means clustering","ref_index":17,"is_internal_anchor":false},{"citing_arxiv_id":"2409.14715","citing_title":"A New Crossover Algorithm for LP Inspired by the Spiral Dynamic of PDHG","ref_index":6,"is_internal_anchor":false},{"citing_arxiv_id":"2410.04043","citing_title":"Accessible Complexity Bounds for Restarted PDHG on Linear Programs with a Unique Optimizer","ref_index":38,"is_internal_anchor":false},{"citing_arxiv_id":"2605.17883","citing_title":"On the convergence of doubly stochastic Primal-Dual Hybrid Gradient Method","ref_index":19,"is_internal_anchor":false},{"citing_arxiv_id":"2601.07628","citing_title":"D-PDLP: Scaling PDLP to Distributed Multi-GPU Systems","ref_index":11,"is_internal_anchor":false},{"citing_arxiv_id":"2602.05179","citing_title":"From Sequential to Parallel: Reformulating Dynamic Programming as GPU Kernels for Large-Scale Stochastic Combinatorial Optimization","ref_index":5,"is_internal_anchor":false},{"citing_arxiv_id":"2604.16192","citing_title":"Empirical Asymptotic Runtime Analysis of Linear Programming Algorithms","ref_index":13,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/Q3IIRHSZCBOX2HS7PT7UGMALH3","json":"https://pith.science/pith/Q3IIRHSZCBOX2HS7PT7UGMALH3.json","graph_json":"https://pith.science/api/pith-number/Q3IIRHSZCBOX2HS7PT7UGMALH3/graph.json","events_json":"https://pith.science/api/pith-number/Q3IIRHSZCBOX2HS7PT7UGMALH3/events.json","paper":"https://pith.science/paper/Q3IIRHSZ"},"agent_actions":{"view_html":"https://pith.science/pith/Q3IIRHSZCBOX2HS7PT7UGMALH3","download_json":"https://pith.science/pith/Q3IIRHSZCBOX2HS7PT7UGMALH3.json","view_paper":"https://pith.science/paper/Q3IIRHSZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2311.12180&json=true","fetch_graph":"https://pith.science/api/pith-number/Q3IIRHSZCBOX2HS7PT7UGMALH3/graph.json","fetch_events":"https://pith.science/api/pith-number/Q3IIRHSZCBOX2HS7PT7UGMALH3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Q3IIRHSZCBOX2HS7PT7UGMALH3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Q3IIRHSZCBOX2HS7PT7UGMALH3/action/storage_attestation","attest_author":"https://pith.science/pith/Q3IIRHSZCBOX2HS7PT7UGMALH3/action/author_attestation","sign_citation":"https://pith.science/pith/Q3IIRHSZCBOX2HS7PT7UGMALH3/action/citation_signature","submit_replication":"https://pith.science/pith/Q3IIRHSZCBOX2HS7PT7UGMALH3/action/replication_record"}},"created_at":"2026-07-05T08:28:35.364963+00:00","updated_at":"2026-07-05T08:28:35.364963+00:00"}