{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:TM27NILZN3HWCP666BRUSZLBBF","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":"4323414dd668775dccc6a28f62be1cee09db6c80c3f1ee370099ed47bccbb241","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-11-30T18:17:19Z","title_canon_sha256":"1d25ad811777a093919cc297c980697166f3356bc3c676fb9b7eb92dfc8d43b0"},"schema_version":"1.0","source":{"id":"1711.11551","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.11551","created_at":"2026-05-18T00:29:11Z"},{"alias_kind":"arxiv_version","alias_value":"1711.11551v1","created_at":"2026-05-18T00:29:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.11551","created_at":"2026-05-18T00:29:11Z"},{"alias_kind":"pith_short_12","alias_value":"TM27NILZN3HW","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"TM27NILZN3HWCP66","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"TM27NILZ","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:97aad7b6a65853c35dd984704e665466604c7d8d6739825870c0d7033b82478c","target":"graph","created_at":"2026-05-18T00:29:11Z","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":"In this paper, we propose and study the iteration complexity of an inexact Douglas-Rachford splitting (DRS) method and a Douglas-Rachford-Tseng's forward-backward (F-B) splitting method for solving two-operator and four-operator monotone inclusions, respectively. The former method (although based on a slightly different mechanism of iteration) is motivated by the recent work of J. Eckstein and W. Yao, in which an inexact DRS method is derived from a special instance of the hybrid proximal extragradient (HPE) method of Solodov and Svaiter, while the latter one combines the proposed inexact DRS ","authors_text":"M. Geremia, M. Marques Alves","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-11-30T18:17:19Z","title":"Iteration complexity of an inexact Douglas-Rachford method and of a Douglas-Rachford-Tseng's F-B four-operator splitting method for solving monotone inclusions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.11551","kind":"arxiv","version":1},"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":"sha256:58766d8c515e27f6cb6f8167b29ae9eba51e6e406678ff49480f1c03cd9e39e8","target":"record","created_at":"2026-05-18T00:29:11Z","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":"4323414dd668775dccc6a28f62be1cee09db6c80c3f1ee370099ed47bccbb241","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-11-30T18:17:19Z","title_canon_sha256":"1d25ad811777a093919cc297c980697166f3356bc3c676fb9b7eb92dfc8d43b0"},"schema_version":"1.0","source":{"id":"1711.11551","kind":"arxiv","version":1}},"canonical_sha256":"9b35f6a1796ecf613fdef063496561095e3e15533759001349313cb02fe1caa9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9b35f6a1796ecf613fdef063496561095e3e15533759001349313cb02fe1caa9","first_computed_at":"2026-05-18T00:29:11.301164Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:11.301164Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iCOLsw9IvoWd9rhaIfGzvxb4HdmAr26D5hQ3NRbhs07P2atyNmhU4bCuozJd9pjhaLJpdQsP1hauUB1m3lw1Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:11.301800Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.11551","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:58766d8c515e27f6cb6f8167b29ae9eba51e6e406678ff49480f1c03cd9e39e8","sha256:97aad7b6a65853c35dd984704e665466604c7d8d6739825870c0d7033b82478c"],"state_sha256":"6b3462ce8dee4b893fc343afbb03e374d2764958fb1da2f104be3135d03c4152"}