{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:VPFJJPUAPWQHPZRSFVW7XR6HRF","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":"0c1ff5093ab3b7097775b960769b1259fed0d77c476b1f43777815c121133ddb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-06-24T14:38:23Z","title_canon_sha256":"b6056fd7b2314cd7944307caf17c24088da8bf9e545efb0e9df161dfc65b8dc1"},"schema_version":"1.0","source":{"id":"1406.6257","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.6257","created_at":"2026-05-18T02:49:03Z"},{"alias_kind":"arxiv_version","alias_value":"1406.6257v1","created_at":"2026-05-18T02:49:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.6257","created_at":"2026-05-18T02:49:03Z"},{"alias_kind":"pith_short_12","alias_value":"VPFJJPUAPWQH","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"VPFJJPUAPWQHPZRS","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"VPFJJPUA","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:311eb04653a21cb8cd63b770922a93d3b71518ef9c67942e97879dd97c7fc97b","target":"graph","created_at":"2026-05-18T02:49:03Z","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 provide a splitting method for finding a zero of the sum of a maximally monotone operator, a lipschitzian monotone operator, and a normal cone to a closed vectorial subspace of a real Hilbert space. The problem is characterized by a simpler monotone inclusion involving only two operators: the partial inverse of the maximally monotone operator with respect to the vectorial subspace and a suitable lipschitzian monotone operator. By applying the Tseng's method in this context we obtain a splitting algorithm that exploits the whole structure of the original problem and generalizes","authors_text":"Luis M. Brice\\~no-Arias","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-06-24T14:38:23Z","title":"Forward--partial inverse--forward splitting for solving monotone inclusions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.6257","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":"sha256:500ca569fe586406d6ea92fa2f247a61523af48b8e0d68337f28dd9d16b2b7eb","target":"record","created_at":"2026-05-18T02:49:03Z","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":"0c1ff5093ab3b7097775b960769b1259fed0d77c476b1f43777815c121133ddb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-06-24T14:38:23Z","title_canon_sha256":"b6056fd7b2314cd7944307caf17c24088da8bf9e545efb0e9df161dfc65b8dc1"},"schema_version":"1.0","source":{"id":"1406.6257","kind":"arxiv","version":1}},"canonical_sha256":"abca94be807da077e6322d6dfbc7c78960b72610cf28dd4bbdd0c601f8effcb0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"abca94be807da077e6322d6dfbc7c78960b72610cf28dd4bbdd0c601f8effcb0","first_computed_at":"2026-05-18T02:49:03.785567Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:49:03.785567Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+a0Sa7Fs131Xifx7lapGDxxF7XqYHsWW0S0R47QQF1TKNdJcdsmmo8huTrzNjzK0YKfD12RrNbd+U6XWBDXoCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:49:03.786020Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.6257","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:500ca569fe586406d6ea92fa2f247a61523af48b8e0d68337f28dd9d16b2b7eb","sha256:311eb04653a21cb8cd63b770922a93d3b71518ef9c67942e97879dd97c7fc97b"],"state_sha256":"7c51457ae62e8729d226306b365422e4d74d3a64d6dce51822879ad88a241f64"}