Pith Number

pith:ABJSXHJT

pith:2022:ABJSXHJTR2HOV7QRGF6DO5MHUP

not attested not anchored not stored refs pending

Understanding the Generalization Benefit of Normalization Layers: Sharpness Reduction

Kaifeng Lyu, Sanjeev Arora, Zhiyuan Li

arxiv:2206.07085 v3 · 2022-06-14 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ABJSXHJTR2HOV7QRGF6DO5MHUP}

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

2 papers in Pith

Closed-Form Steepest Descent Direction toward Flat Minima: Reducing Upper Bounds on the Loss Hessian Eigenspectrum in Neural Networks

Wolkowicz-Styan Upper Bound on the Hessian Eigenspectrum for Cross-Entropy Loss in Nonlinear Smooth Neural Networks

Receipt and verification

First computed	2026-07-05T05:33:12.753512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00532b9d338e8eeafe11317c377587a3f06e07c4b34ab1d9f7b89f40c2e144e6

Aliases

arxiv: 2206.07085 · arxiv_version: 2206.07085v3 · doi: 10.48550/arxiv.2206.07085 · pith_short_12: ABJSXHJTR2HO · pith_short_16: ABJSXHJTR2HOV7QR · pith_short_8: ABJSXHJT

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/ABJSXHJTR2HOV7QRGF6DO5MHUP \
  | 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: 00532b9d338e8eeafe11317c377587a3f06e07c4b34ab1d9f7b89f40c2e144e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d566c012e6bba23fc71c11c3a136b86186a714ff3c722b4474d4518af31fadc",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-06-14T18:19:05Z",
    "title_canon_sha256": "eaa91422cfc3826ef7790843a6b555cdade771f048cf1642378fb04f795c796a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.07085",
    "kind": "arxiv",
    "version": 3
  }
}