Pith Number

pith:CTADMPSU

pith:2024:CTADMPSUWHKYMQ3ZPAGTGPGMMV

not attested not anchored not stored refs pending

From Gradient Clipping to Normalization for Heavy Tailed SGD

Florian H\"ubler, Ilyas Fatkhullin, Niao He

arxiv:2410.13849 v3 · 2024-10-17 · 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{CTADMPSUWHKYMQ3ZPAGTGPGMMV}

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

8 papers in Pith

LionMuon: Alternating Spectral and Sign Descent for Efficient Training

Zeroth-Order Nonconvex Nonsmooth Optimization with Heavy-Tailed Noise

Can Entry-Wise Clipping Give Spectral Control of Stochastic Gradients?

Decentralized Nonconvex Optimization under Heavy-Tailed Noise: Normalization and Optimal Convergence

LionMuon: Alternating Spectral and Sign Descent for Efficient Training

Receipt and verification

First computed	2026-07-05T11:34:00.672793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14c0363e54b1d5864379780d333ccc6553b1968a306211af177db9981d6dfe3e

Aliases

arxiv: 2410.13849 · arxiv_version: 2410.13849v3 · doi: 10.48550/arxiv.2410.13849 · pith_short_12: CTADMPSUWHKY · pith_short_16: CTADMPSUWHKYMQ3Z · pith_short_8: CTADMPSU

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/CTADMPSUWHKYMQ3ZPAGTGPGMMV \
  | 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: 14c0363e54b1d5864379780d333ccc6553b1968a306211af177db9981d6dfe3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9915a3a2caf3a444dd149a57793e13d2585cd1aec3bb11ab631a412b997433c2",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-10-17T17:59:01Z",
    "title_canon_sha256": "c9f89eedac83b4f31f9921cf092f8cceb57b1c0699e5f7c58860d4d6ebb06248"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.13849",
    "kind": "arxiv",
    "version": 3
  }
}