{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:6IKKDDJHBH637YXIALCIRLKIK6","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":"5a8bb3fcd28ee449425737ddc8d356814933e12c85f3c26f8213ac44b601f067","cross_cats_sorted":["math.NA","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-07-01T12:36:17Z","title_canon_sha256":"9241a56a8410cdac9235281e6eb685e023f0ce6f22783496629a3b8983e85beb"},"schema_version":"1.0","source":{"id":"1407.0214","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.0214","created_at":"2026-05-18T02:48:34Z"},{"alias_kind":"arxiv_version","alias_value":"1407.0214v1","created_at":"2026-05-18T02:48:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.0214","created_at":"2026-05-18T02:48:34Z"},{"alias_kind":"pith_short_12","alias_value":"6IKKDDJHBH63","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6IKKDDJHBH637YXI","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6IKKDDJH","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:6d9250ca8beb11c4858653f55432b631cd8f7888a4ba9bc121f2fd5ddb818270","target":"graph","created_at":"2026-05-18T02:48:34Z","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 incorporate inertial terms in the hybrid proximal-extragradient algorithm and investigate the convergence properties of the resulting iterative scheme designed for finding the zeros of a maximally monotone operator in real Hilbert spaces. The convergence analysis relies on extended Fej\\'er monotonicity techniques combined with the celebrated Opial Lemma. We also show that the classical hybrid proximal-extragradient algorithm and the inertial versions of the proximal point, the forward-backward and the forward-backward-forward algorithms can be embedded in the framework of the proposed itera","authors_text":"Ern\\\"o Robert Csetnek, Radu Ioan Bot","cross_cats":["math.NA","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-07-01T12:36:17Z","title":"A hybrid proximal-extragradient algorithm with inertial effects"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.0214","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:ae6cc4eedfc381ceeb4ce84bc869c001eb542c2507027cdd6b04c3caba3d6a17","target":"record","created_at":"2026-05-18T02:48:34Z","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":"5a8bb3fcd28ee449425737ddc8d356814933e12c85f3c26f8213ac44b601f067","cross_cats_sorted":["math.NA","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-07-01T12:36:17Z","title_canon_sha256":"9241a56a8410cdac9235281e6eb685e023f0ce6f22783496629a3b8983e85beb"},"schema_version":"1.0","source":{"id":"1407.0214","kind":"arxiv","version":1}},"canonical_sha256":"f214a18d2709fdbfe2e802c488ad4857aeb43fdacbe74c5bc69be28fcf5f54f4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f214a18d2709fdbfe2e802c488ad4857aeb43fdacbe74c5bc69be28fcf5f54f4","first_computed_at":"2026-05-18T02:48:34.824998Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:48:34.824998Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wEvWq640nH1i8GlJKGWbjAYVsRn9Dsc8p6Nhia1uKSj8qxX1EcP3Q6Ia7Ua3FUhIYghh5WZiP3sXR1BGbmyHAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:48:34.825871Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.0214","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ae6cc4eedfc381ceeb4ce84bc869c001eb542c2507027cdd6b04c3caba3d6a17","sha256:6d9250ca8beb11c4858653f55432b631cd8f7888a4ba9bc121f2fd5ddb818270"],"state_sha256":"1e64a87131803e8efc76dc2706c0dab24aee19d165d60eed6c38d4c63ddc04b9"}