{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:QMDCFOKLO6ISON3N224XNQ2L3U","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":"7f9f369648ca251b24fd537af574af2df01e588ed567af6a677ffe2b9e834eb8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-08-13T08:04:02Z","title_canon_sha256":"558852f05190d3f8e79e2e375db70b78537ab0be820bf0d869cb84f8cf4fd9e4"},"schema_version":"1.0","source":{"id":"1308.2778","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.2778","created_at":"2026-05-18T03:16:05Z"},{"alias_kind":"arxiv_version","alias_value":"1308.2778v1","created_at":"2026-05-18T03:16:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.2778","created_at":"2026-05-18T03:16:05Z"},{"alias_kind":"pith_short_12","alias_value":"QMDCFOKLO6IS","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"QMDCFOKLO6ISON3N","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"QMDCFOKL","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:58f143a8e629de0c0d586ff614313b70caae2e9796b1249f411fb8f477095b94","target":"graph","created_at":"2026-05-18T03:16:05Z","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 propose a splitting algorithm for solving a system of composite monotone inclusions formulated in the form of the extended set of solutions in real Hilbert spaces. The resluting algorithm is a an extension of the algorithm in [4]. The weak convergence of the algorithm proposed is proved. Applications to minimization problems is demonstrated.","authors_text":"Bang Cong Vu, Dinh Dung","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-08-13T08:04:02Z","title":"A splitting algorithm for system of composite monotone inclusions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.2778","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":"sha256:43c17a3f3c908f5f2bc4344d91e9182ca4d5d290992d5a9dbee4534c90f1163a","target":"record","created_at":"2026-05-18T03:16:05Z","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":"7f9f369648ca251b24fd537af574af2df01e588ed567af6a677ffe2b9e834eb8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-08-13T08:04:02Z","title_canon_sha256":"558852f05190d3f8e79e2e375db70b78537ab0be820bf0d869cb84f8cf4fd9e4"},"schema_version":"1.0","source":{"id":"1308.2778","kind":"arxiv","version":1}},"canonical_sha256":"830622b94b779127376dd6b976c34bdd07ef448172cfa5e80290026ad6e2cf98","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"830622b94b779127376dd6b976c34bdd07ef448172cfa5e80290026ad6e2cf98","first_computed_at":"2026-05-18T03:16:05.266198Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:16:05.266198Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yfOq4GOqEzFmVOaCYHTVGu9dBAvmu3Qewdhf1Goa16/+riWyIiOtwgWNaosdjdezfniYsDD9rgXsA//xjzl0AA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:16:05.266802Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.2778","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:43c17a3f3c908f5f2bc4344d91e9182ca4d5d290992d5a9dbee4534c90f1163a","sha256:58f143a8e629de0c0d586ff614313b70caae2e9796b1249f411fb8f477095b94"],"state_sha256":"d8718f6a09793099b314842b4177b8113b25651553359417f0b9b44cfe0605ad"}