Pith Number

pith:ABLLWIY6

pith:2023:ABLLWIY6SXU7F5JNRKM4RR2O2M

not attested not anchored not stored refs pending

Empirical Risk Minimization with Shuffled SGD: A Primal-Dual Perspective and Improved Bounds

Cheuk Yin Lin, Jelena Diakonikolas, Xufeng Cai

arxiv:2306.12498 v2 · 2023-06-21 · math.OC · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ABLLWIY6SXU7F5JNRKM4RR2O2M}

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

5 papers in Pith

Mirror Descent Beyond Euclidean Stability: An Exponential Separation in Initialization Sensitivity

The Dual Averaging Power-Prox Method with Application to Heavy-Tail Incremental Gradient

SGD at the Edge of Stability: Stochastic Stabilization with Large Learning Rates

Convergence of Continual Learning in Homogeneous Deep Networks

Shuffling the Data, Stretching the Step-size: Sharper Bias in constant step-size SGD

Receipt and verification

First computed	2026-07-05T07:42:17.821523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0056bb231e95e9f2f52d8a99c8c74ed30f17666a2c036fed325553446ef77573

Aliases

arxiv: 2306.12498 · arxiv_version: 2306.12498v2 · doi: 10.48550/arxiv.2306.12498 · pith_short_12: ABLLWIY6SXU7 · pith_short_16: ABLLWIY6SXU7F5JN · pith_short_8: ABLLWIY6

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/ABLLWIY6SXU7F5JNRKM4RR2O2M \
  | 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: 0056bb231e95e9f2f52d8a99c8c74ed30f17666a2c036fed325553446ef77573

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "567484799e1e8c5bba40f6d6db100f3de58a616eee154eb354444e4b5cc49a8d",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-06-21T18:14:44Z",
    "title_canon_sha256": "dcb4cb5e1fe73e57f4186e3a95613477ba2c9f280b21e52b7b4408a64587df44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.12498",
    "kind": "arxiv",
    "version": 2
  }
}