{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:CZU3SOYFQEGZJDNDOQPDAGU5TY","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":"078b7ffafad456d2d6ecce4be3bede817965605b7d9200a3cd5cc8601c5e96ca","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-06-03T11:05:24Z","title_canon_sha256":"7587748ff06778cacc9e482f5202cb80afce4f341c6157cae99e70dd1233a4fd"},"schema_version":"1.0","source":{"id":"1306.0352","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.0352","created_at":"2026-05-18T03:21:55Z"},{"alias_kind":"arxiv_version","alias_value":"1306.0352v1","created_at":"2026-05-18T03:21:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.0352","created_at":"2026-05-18T03:21:55Z"},{"alias_kind":"pith_short_12","alias_value":"CZU3SOYFQEGZ","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CZU3SOYFQEGZJDND","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CZU3SOYF","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:09c7665cf49cbfa4f92672984db4a181fe2355c33cf77e9e58950d17d8feabb1","target":"graph","created_at":"2026-05-18T03:21:55Z","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 deal with monotone inclusion problems of the form $0\\in Ax+Dx+N_C(x)$ in real Hilbert spaces, where $A$ is a maximally monotone operator, $D$ a cocoercive operator and $C$ the nonempty set of zeros of another cocoercive operator. We propose a forward-backward penalty algorithm for solving this problem which extends the one proposed by H. Attouch, M.-O. Czarnecki and J. Peypouquet in [3]. The condition which guarantees the weak ergodic convergence of the sequence of iterates generated by the proposed scheme is formulated by means of the Fitzpatrick function associated to the maximally monoto","authors_text":"Ern\\\"o Robert Csetnek, Radu Ioan Bot","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-06-03T11:05:24Z","title":"Forward-Backward and Tseng's Type Penalty Schemes for Monotone Inclusion Problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.0352","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":"sha256:775003e88a7a6d48c6479da798f8f7001547886c9df5948678c44673fdbd17ef","target":"record","created_at":"2026-05-18T03:21:55Z","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":"078b7ffafad456d2d6ecce4be3bede817965605b7d9200a3cd5cc8601c5e96ca","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-06-03T11:05:24Z","title_canon_sha256":"7587748ff06778cacc9e482f5202cb80afce4f341c6157cae99e70dd1233a4fd"},"schema_version":"1.0","source":{"id":"1306.0352","kind":"arxiv","version":1}},"canonical_sha256":"1669b93b05810d948da3741e301a9d9e3aef36b6a1e91576e6e5dd60f5e7bbdb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1669b93b05810d948da3741e301a9d9e3aef36b6a1e91576e6e5dd60f5e7bbdb","first_computed_at":"2026-05-18T03:21:55.448300Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:21:55.448300Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QTPESVIvkqBFx2sm3oqGlnSsKbU/HyKfWEOhQ2yLkeNZVkrf/tlTZkmnrBn2S88ztnD6fFQHrlFBiUSNghbLAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:21:55.448888Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.0352","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:775003e88a7a6d48c6479da798f8f7001547886c9df5948678c44673fdbd17ef","sha256:09c7665cf49cbfa4f92672984db4a181fe2355c33cf77e9e58950d17d8feabb1"],"state_sha256":"19462657e5d4f7873a2b2ebc5d6e0bb1136a84a3dffeac815131f65fca534493"}