Pith Number

pith:4OWQMVTJ

pith:2023:4OWQMVTJGDZ7LKTTB3E2QMDAFN

not attested not anchored not stored refs pending

Accelerated Gradient Descent via Long Steps

Alex L. Wang, Benjamin Grimmer, Kevin Shu

arxiv:2309.09961 v2 · 2023-09-18 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4OWQMVTJGDZ7LKTTB3E2QMDAFN}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

4 papers in Pith

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima

Lower Bounds for Anytime Acceleration of Gradient Descent

Stepsize Hedging: an Alternative Mechanism for Accelerating Gradient Descent

A Proximal Stochastic Gradient Method with Adaptive Step Size and Variance Reduction for Convex Composite Optimization

Receipt and verification

First computed	2026-07-05T06:54:40.587761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3ad06566930f3f5aa730ec9a830602b48085f9118d8bae4ac8e973f3d0ca5fb

Aliases

arxiv: 2309.09961 · arxiv_version: 2309.09961v2 · doi: 10.48550/arxiv.2309.09961 · pith_short_12: 4OWQMVTJGDZ7 · pith_short_16: 4OWQMVTJGDZ7LKTT · pith_short_8: 4OWQMVTJ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4OWQMVTJGDZ7LKTTB3E2QMDAFN \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e3ad06566930f3f5aa730ec9a830602b48085f9118d8bae4ac8e973f3d0ca5fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "201429ba0d6be79bb2a3866267609d89c08bc5a361283233354feaaf4027978d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-09-18T17:35:24Z",
    "title_canon_sha256": "e2432fa5cebcd5ccb1fdf45d4612bcfa1ffaf4007c12c7ccd1deb2bd63cd7df9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.09961",
    "kind": "arxiv",
    "version": 2
  }
}