{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:4AOV4WALC7Z7CQWUR5CNOBTEMK","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":"e61b96e3b1e0c51d951c1a73d7d8bf1fcb05d06bd38619b30786ff489d2b87f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2025-10-19T01:21:01Z","title_canon_sha256":"15231179ce772c7abbd41e696ec687800c39552d4437715800f075e5c5102bc2"},"schema_version":"1.0","source":{"id":"2510.16680","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2510.16680","created_at":"2026-05-29T02:05:37Z"},{"alias_kind":"arxiv_version","alias_value":"2510.16680v2","created_at":"2026-05-29T02:05:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2510.16680","created_at":"2026-05-29T02:05:37Z"},{"alias_kind":"pith_short_12","alias_value":"4AOV4WALC7Z7","created_at":"2026-05-29T02:05:37Z"},{"alias_kind":"pith_short_16","alias_value":"4AOV4WALC7Z7CQWU","created_at":"2026-05-29T02:05:37Z"},{"alias_kind":"pith_short_8","alias_value":"4AOV4WAL","created_at":"2026-05-29T02:05:37Z"}],"graph_snapshots":[{"event_id":"sha256:f271a8bfa9b910a8bdfcba5c051c000708ff1c94ea27d510520fc444104f7522","target":"graph","created_at":"2026-05-29T02:05:37Z","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/2510.16680/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Two accelerated first-order methods, HNAG$^+$ and HNAG$^{++}$, are presented for smooth strongly convex optimization. By optimizing the coercivity constant of the HNAG flow and using a refined Lyapunov analysis, it is shown that HNAG$^+$ achieves the optimal global rate $1-2/\\sqrt{\\kappa}$, matching the information-theoretic lower bound for strongly convex optimization. For functions with Local Asymptotic Symmetry at the minimizer, HNAG$^{++}$ is shown to achieve the asymptotic rate $1-2\\sqrt{2/\\kappa}$, matching the best known asymptotic rate under $\\mathcal C^2$ regularity, while applying to","authors_text":"Long Chen, Zeyi Xu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2025-10-19T01:21:01Z","title":"HNAG$^{++}$: An Accelerated Gradient Method with a Refined Asymptotic Rate for Strongly Convex Optimization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2510.16680","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":"sha256:8eeb16836db0e39148f4c215cd83aea6159387ca6221c2da0eb7cca3b541fd84","target":"record","created_at":"2026-05-29T02:05:37Z","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":"e61b96e3b1e0c51d951c1a73d7d8bf1fcb05d06bd38619b30786ff489d2b87f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2025-10-19T01:21:01Z","title_canon_sha256":"15231179ce772c7abbd41e696ec687800c39552d4437715800f075e5c5102bc2"},"schema_version":"1.0","source":{"id":"2510.16680","kind":"arxiv","version":2}},"canonical_sha256":"e01d5e580b17f3f142d48f44d7066462a865e18a844ceb510569bc55d640d997","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e01d5e580b17f3f142d48f44d7066462a865e18a844ceb510569bc55d640d997","first_computed_at":"2026-05-29T02:05:37.207146Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-29T02:05:37.207146Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Km9M1HQZe/AjUkQGMqrh0ZtsdeUHG7QXsIJ80rL4zBIrBCqCKr6ph8dra8SxVt4xjEHhFweGAUj2TBs3JPDxAA==","signature_status":"signed_v1","signed_at":"2026-05-29T02:05:37.207673Z","signed_message":"canonical_sha256_bytes"},"source_id":"2510.16680","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8eeb16836db0e39148f4c215cd83aea6159387ca6221c2da0eb7cca3b541fd84","sha256:f271a8bfa9b910a8bdfcba5c051c000708ff1c94ea27d510520fc444104f7522"],"state_sha256":"51c0c4bd72806815c408b8dd72da2bea9e1af21a9b3c41c7ff263ec334b70ec5"}