{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:KAOQYWIJ6JYLQTP4LIA2IUO3AE","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":"24c3d32d83c44597f50ab89c8c4d8e79477172f10f3f721231405fff18322ea0","cross_cats_sorted":["cs.AR","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-07-31T00:02:30Z","title_canon_sha256":"55769bea25cb6310654aba1f4c1052a60ae86a5b8e5c6824f549d16ea62849aa"},"schema_version":"1.0","source":{"id":"2607.28902","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.28902","created_at":"2026-08-03T01:17:27Z"},{"alias_kind":"arxiv_version","alias_value":"2607.28902v1","created_at":"2026-08-03T01:17:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.28902","created_at":"2026-08-03T01:17:27Z"},{"alias_kind":"pith_short_12","alias_value":"KAOQYWIJ6JYL","created_at":"2026-08-03T01:17:27Z"},{"alias_kind":"pith_short_16","alias_value":"KAOQYWIJ6JYLQTP4","created_at":"2026-08-03T01:17:27Z"},{"alias_kind":"pith_short_8","alias_value":"KAOQYWIJ","created_at":"2026-08-03T01:17:27Z"}],"graph_snapshots":[{"event_id":"sha256:24d141ba86ac5bf165c93b89735a9ba667278e7b8cd929e7f5b2433ea132ad1e","target":"graph","created_at":"2026-08-03T01:17:27Z","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/2607.28902/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop a parallel framework that assembles static gradient methods to achieve better adaptivity. A static gradient method, denoted by $\\mathrm{GD}(x_0,T)$, takes as input an initial point $x_0\\in\\mathbb{R}^n$ and $T\\in \\mathbb{R}^+$ specifying the number $\\floor{T}$ of iterations. The step size is chosen as $s=S(T)$, where $S(\\cdot)$ is a predetermined function of $T$. The method then performs the iterations $ x_{i+1}=x_i-\\frac{\\eta}{s}\\cdot g_i,$ where $g_i$ is a stochastic gradient evaluated at $x_i$, and $\\eta$ is a scaling factor. For an integer $p\\ge1$, the $p$ processors in the propo","authors_text":"Bin Fu","cross_cats":["cs.AR","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-07-31T00:02:30Z","title":"Adaptivity via a Parallel Architecture for Stochastic Gradient Methods Adaptivity via a Parallel Architecture for Stochastic Gradient Methods Adaptivity via a Parallel Architecture for Stochastic Gradient Methods"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.28902","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":"sha256:44dc6393ee1f36646a6f681898de65925f43415f8bc30142e8e9ca5618dc7c71","target":"record","created_at":"2026-08-03T01:17:27Z","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":"24c3d32d83c44597f50ab89c8c4d8e79477172f10f3f721231405fff18322ea0","cross_cats_sorted":["cs.AR","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-07-31T00:02:30Z","title_canon_sha256":"55769bea25cb6310654aba1f4c1052a60ae86a5b8e5c6824f549d16ea62849aa"},"schema_version":"1.0","source":{"id":"2607.28902","kind":"arxiv","version":1}},"canonical_sha256":"501d0c5909f270b84dfc5a01a451db01069dd511c9caae197e809e68797939a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"501d0c5909f270b84dfc5a01a451db01069dd511c9caae197e809e68797939a9","first_computed_at":"2026-08-03T01:17:27.813282Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-03T01:17:27.813282Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RwPqOXlmz+DVKar65BOk2/KkEYDEZP5mNp2R72Or/ujORYqt0yv0qmLJHJ5V3vzfDsVfDeL61RmUMkjX0m+MBQ==","signature_status":"signed_v1","signed_at":"2026-08-03T01:17:27.814852Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.28902","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:44dc6393ee1f36646a6f681898de65925f43415f8bc30142e8e9ca5618dc7c71","sha256:24d141ba86ac5bf165c93b89735a9ba667278e7b8cd929e7f5b2433ea132ad1e"],"state_sha256":"c99f40e03d0320da67db7bcd97c3a1e05522ba83876b111c62ae10ddfe1f201a"}