{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:LBNWN5DNGES3IWMBMU5OIEV6WC","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":"bd92ce8ca300e7d60987b05dbb929b66c9357c3885b4bdf87f1dee27b8853d39","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-10-08T05:02:35Z","title_canon_sha256":"d2209984646f835086f55caf136ccf382ad05c233a5e749ce7b979d11d6f773f"},"schema_version":"1.0","source":{"id":"1110.1697","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.1697","created_at":"2026-05-18T04:11:19Z"},{"alias_kind":"arxiv_version","alias_value":"1110.1697v1","created_at":"2026-05-18T04:11:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.1697","created_at":"2026-05-18T04:11:19Z"},{"alias_kind":"pith_short_12","alias_value":"LBNWN5DNGES3","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"LBNWN5DNGES3IWMB","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"LBNWN5DN","created_at":"2026-05-18T12:26:34Z"}],"graph_snapshots":[{"event_id":"sha256:1625cbd6349fc77f1afc2b16867adec804cf490b40caea99f3d59b447c44e7e0","target":"graph","created_at":"2026-05-18T04:11:19Z","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 consider the problem of solving dual monotone inclusions involving sums of composite parallel-sum type operators. A feature of this work is to exploit explicitly the cocoercivity of some of the operators appearing in the model. Several splitting algorithms recently proposed in the literature are recovered as special cases.","authors_text":"Bang Cong Vu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-10-08T05:02:35Z","title":"A splitting algorithm for dual monotone inclusions involving cocoercive operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.1697","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:a93b471c106121b5c6f7a639c82aef963c08e284026c0a08dde600b96dcbb23a","target":"record","created_at":"2026-05-18T04:11:19Z","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":"bd92ce8ca300e7d60987b05dbb929b66c9357c3885b4bdf87f1dee27b8853d39","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-10-08T05:02:35Z","title_canon_sha256":"d2209984646f835086f55caf136ccf382ad05c233a5e749ce7b979d11d6f773f"},"schema_version":"1.0","source":{"id":"1110.1697","kind":"arxiv","version":1}},"canonical_sha256":"585b66f46d3125b45981653ae412beb098db3b5bbbc6152e7cd7cfad1e7c6002","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"585b66f46d3125b45981653ae412beb098db3b5bbbc6152e7cd7cfad1e7c6002","first_computed_at":"2026-05-18T04:11:19.858856Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:11:19.858856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WOCeq1xl/aGNU8beXNKW/eOuGk2N7ZxFSTW5eXD2sf74L7owwnv8R0LhfGwYqlLB7WHC/gcyAftQhVMLrjm4Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:11:19.859364Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.1697","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a93b471c106121b5c6f7a639c82aef963c08e284026c0a08dde600b96dcbb23a","sha256:1625cbd6349fc77f1afc2b16867adec804cf490b40caea99f3d59b447c44e7e0"],"state_sha256":"8c2922e8216cc031d55e3631db06abcde94215e921732e2577b9467e9a174483"}