{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:GQ4T5BM22C6DXKKDJBIB4WPU7O","short_pith_number":"pith:GQ4T5BM2","schema_version":"1.0","canonical_sha256":"34393e859ad0bc3ba94348501e59f4fbaf35568bcc2967a4fa2cbba59c72899f","source":{"kind":"arxiv","id":"1504.01032","version":1},"attestation_state":"computed","paper":{"title":"A Three-Operator Splitting Scheme and its Optimization Applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Damek Davis, Wotao Yin","submitted_at":"2015-04-04T17:50:27Z","abstract_excerpt":"Operator splitting schemes have been successfully used in computational sciences to reduce complex problems into a series of simpler subproblems. Since 1950s, these schemes have been widely used to solve problems in PDE and control. Recently, large-scale optimization problems in machine learning, signal processing, and imaging have created a resurgence of interest in operator-splitting based algorithms because they often have simple descriptions, are easy to code, and have (nearly) state-of-the-art performance for large-scale optimization problems. Although operator splitting techniques were i"},"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":"1504.01032","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-04-04T17:50:27Z","cross_cats_sorted":[],"title_canon_sha256":"95428c11c871886d784e9ce54b298dac6154c0725cdc7a718a49af45cd236fbc","abstract_canon_sha256":"a2d477caea190a8adc3db1158f76f3162ea433619af2236b0613625d80a3b75a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:19:35.318149Z","signature_b64":"VNA71qQ5I2uxLPPRVTwJlFi/nv8jIe258+lJRUSTH/O5xvS9xG7rCBsTu3CdIDIg98trMQ/Ui104i6kJaQseCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"34393e859ad0bc3ba94348501e59f4fbaf35568bcc2967a4fa2cbba59c72899f","last_reissued_at":"2026-05-18T02:19:35.317752Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:19:35.317752Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Three-Operator Splitting Scheme and its Optimization Applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Damek Davis, Wotao Yin","submitted_at":"2015-04-04T17:50:27Z","abstract_excerpt":"Operator splitting schemes have been successfully used in computational sciences to reduce complex problems into a series of simpler subproblems. Since 1950s, these schemes have been widely used to solve problems in PDE and control. Recently, large-scale optimization problems in machine learning, signal processing, and imaging have created a resurgence of interest in operator-splitting based algorithms because they often have simple descriptions, are easy to code, and have (nearly) state-of-the-art performance for large-scale optimization problems. Although operator splitting techniques were i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.01032","kind":"arxiv","version":1},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1504.01032","created_at":"2026-05-18T02:19:35.317817+00:00"},{"alias_kind":"arxiv_version","alias_value":"1504.01032v1","created_at":"2026-05-18T02:19:35.317817+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.01032","created_at":"2026-05-18T02:19:35.317817+00:00"},{"alias_kind":"pith_short_12","alias_value":"GQ4T5BM22C6D","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_16","alias_value":"GQ4T5BM22C6DXKKD","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_8","alias_value":"GQ4T5BM2","created_at":"2026-05-18T12:29:22.688609+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GQ4T5BM22C6DXKKDJBIB4WPU7O","json":"https://pith.science/pith/GQ4T5BM22C6DXKKDJBIB4WPU7O.json","graph_json":"https://pith.science/api/pith-number/GQ4T5BM22C6DXKKDJBIB4WPU7O/graph.json","events_json":"https://pith.science/api/pith-number/GQ4T5BM22C6DXKKDJBIB4WPU7O/events.json","paper":"https://pith.science/paper/GQ4T5BM2"},"agent_actions":{"view_html":"https://pith.science/pith/GQ4T5BM22C6DXKKDJBIB4WPU7O","download_json":"https://pith.science/pith/GQ4T5BM22C6DXKKDJBIB4WPU7O.json","view_paper":"https://pith.science/paper/GQ4T5BM2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1504.01032&json=true","fetch_graph":"https://pith.science/api/pith-number/GQ4T5BM22C6DXKKDJBIB4WPU7O/graph.json","fetch_events":"https://pith.science/api/pith-number/GQ4T5BM22C6DXKKDJBIB4WPU7O/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GQ4T5BM22C6DXKKDJBIB4WPU7O/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GQ4T5BM22C6DXKKDJBIB4WPU7O/action/storage_attestation","attest_author":"https://pith.science/pith/GQ4T5BM22C6DXKKDJBIB4WPU7O/action/author_attestation","sign_citation":"https://pith.science/pith/GQ4T5BM22C6DXKKDJBIB4WPU7O/action/citation_signature","submit_replication":"https://pith.science/pith/GQ4T5BM22C6DXKKDJBIB4WPU7O/action/replication_record"}},"created_at":"2026-05-18T02:19:35.317817+00:00","updated_at":"2026-05-18T02:19:35.317817+00:00"}