Pith Number

pith:ZDPKG2ND

pith:2025:ZDPKG2NDIWOJB6WNNM4GJC4KX2

not attested not anchored not stored refs pending

Clipped Gradient Methods for Nonsmooth Convex Optimization under Heavy-Tailed Noise: A Refined Analysis

Zijian Liu

arxiv:2512.23178 v3 · 2025-12-29 · 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{ZDPKG2NDIWOJB6WNNM4GJC4KX2}

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.

Receipt and verification

First computed	2026-05-20T00:04:19.638042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8dea369a3459c90facd6b38648b8abe89e84f23cb0d29455930ee68f6b24243

Aliases

arxiv: 2512.23178 · arxiv_version: 2512.23178v3 · doi: 10.48550/arxiv.2512.23178 · pith_short_12: ZDPKG2NDIWOJ · pith_short_16: ZDPKG2NDIWOJB6WN · pith_short_8: ZDPKG2ND

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/ZDPKG2NDIWOJB6WNNM4GJC4KX2 \
  | 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: c8dea369a3459c90facd6b38648b8abe89e84f23cb0d29455930ee68f6b24243

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8a353c7e5383d4a21de6eeba03cfee5bfb8280c9681309d6ea96fb6e6dbebd8",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-12-29T03:35:53Z",
    "title_canon_sha256": "d471e07369b9f4a15a5ddf6fb010df02a39770d4d25778e1db1698c668c091d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.23178",
    "kind": "arxiv",
    "version": 3
  }
}