Pith Number

pith:OH7YRWEC

pith:2025:OH7YRWECQUGS77UHEQBRZJHSZV

not attested not anchored not stored refs pending

Safeguarded Stochastic Polyak Step Sizes for Non-smooth Optimization: Robust Performance Without Small (Sub)Gradients

Dimitris Oikonomou, Nicolas Loizou

arxiv:2512.02342 v3 · 2025-12-02 · math.OC · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OH7YRWECQUGS77UHEQBRZJHSZV}

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

1 paper in Pith

Adaptive Sharpness-Aware Minimization with a Polyak-type Step size: A Theory-Grounded Scheduler

Receipt and verification

First computed	2026-06-02T02:04:49.325867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71ff88d882850d2ffe8724031ca4f2cd6e722274dc3997170212c90e74a6a9c1

Aliases

arxiv: 2512.02342 · arxiv_version: 2512.02342v3 · doi: 10.48550/arxiv.2512.02342 · pith_short_12: OH7YRWECQUGS · pith_short_16: OH7YRWECQUGS77UH · pith_short_8: OH7YRWEC

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/OH7YRWECQUGS77UHEQBRZJHSZV \
  | 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: 71ff88d882850d2ffe8724031ca4f2cd6e722274dc3997170212c90e74a6a9c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c789a61e9cc63c5077f6822ddbe738f9cac8e8eb90298c4b90d18daa7b4a44f",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-12-02T02:24:32Z",
    "title_canon_sha256": "cf793547233e24c915875cef98ff21a5c27ca87e86f090c5e791345c13f81c10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.02342",
    "kind": "arxiv",
    "version": 3
  }
}