{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:CRWII2MUUFFNIYHBWNNR4VLMJO","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":"162b0275960d04e08e6bdd31ab4b97afd4b036e57b93705c4ff2214296f200d6","cross_cats_sorted":["stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-01-08T16:06:15Z","title_canon_sha256":"7e40552fb548d2485414bab4610db7edd648b560808f276183fe3022ce09e002"},"schema_version":"1.0","source":{"id":"2501.04585","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.04585","created_at":"2026-07-05T10:27:23Z"},{"alias_kind":"arxiv_version","alias_value":"2501.04585v2","created_at":"2026-07-05T10:27:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.04585","created_at":"2026-07-05T10:27:23Z"},{"alias_kind":"pith_short_12","alias_value":"CRWII2MUUFFN","created_at":"2026-07-05T10:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"CRWII2MUUFFNIYHB","created_at":"2026-07-05T10:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"CRWII2MU","created_at":"2026-07-05T10:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:82f517c6203fe7bcfe31b305653bf3e6bf80fe15fe4db8943c9abd14561c265d","target":"graph","created_at":"2026-07-05T10:27:23Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2501.04585/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Following the first part of our project, this paper comprehensively studies two types of extragradient-based methods: anchored extragradient and Nesterov's accelerated extragradient for solving [non]linear inclusions (and, in particular, equations), primarily under the Lipschitz continuity and the co-hypomonotonicity assumptions. We unify and generalize a class of anchored extragradient methods for monotone inclusions to a wider range of schemes encompassing existing algorithms as special cases. We establish $\\mathcal{O}(1/k)$ last-iterate convergence rates on the residual norm of the underlyi","authors_text":"Nghia Nguyen-Trung, Quoc Tran-Dinh","cross_cats":["stat.ML"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-01-08T16:06:15Z","title":"Accelerated Extragradient-Type Methods -- Part 2: Generalization and Sublinear Convergence Rates under Co-Hypomonotonicity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.04585","kind":"arxiv","version":2},"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:fbeae9ccf6f9036dc19cf0bb122ebca4b294c185e2eee2a2724aa06a89f05cc0","target":"record","created_at":"2026-07-05T10:27:23Z","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":"162b0275960d04e08e6bdd31ab4b97afd4b036e57b93705c4ff2214296f200d6","cross_cats_sorted":["stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-01-08T16:06:15Z","title_canon_sha256":"7e40552fb548d2485414bab4610db7edd648b560808f276183fe3022ce09e002"},"schema_version":"1.0","source":{"id":"2501.04585","kind":"arxiv","version":2}},"canonical_sha256":"146c846994a14ad460e1b35b1e556c4b82623e8367d85395ef00f41281b341c2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"146c846994a14ad460e1b35b1e556c4b82623e8367d85395ef00f41281b341c2","first_computed_at":"2026-07-05T10:27:23.158527Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:27:23.158527Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WgopQZ/2kmsVsV/OqNPBuccSr6D+vcVBe47Jtumy9VZT2YucW33g3/M3hEpGszkOyfTlffgpDn+/66mcfcFlBw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:27:23.159026Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.04585","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fbeae9ccf6f9036dc19cf0bb122ebca4b294c185e2eee2a2724aa06a89f05cc0","sha256:82f517c6203fe7bcfe31b305653bf3e6bf80fe15fe4db8943c9abd14561c265d"],"state_sha256":"af08acd129592133291cb2ed1924e5b6d3859e464b9df44a18927990bb34a521"}