Pith Number

pith:ZHKNK3WP

pith:2024:ZHKNK3WPKGG7NZW24GYWERJS5A

not attested not anchored not stored refs pending

Symmetries in Overparametrized Neural Networks: A Mean-Field View

Javier Maass, Joaquin Fontbona

arxiv:2405.19995 v3 · 2024-05-30 · stat.ML · cs.LG · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZHKNK3WPKGG7NZW24GYWERJS5A}

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

Data Augmentation and Regularization for Learning Group Equivariance

Receipt and verification

First computed	2026-07-05T11:08:57.790437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9d4d56ecf518df6e6dae1b1624532e809fb184454dd9da9fde61d8857b6896e

Aliases

arxiv: 2405.19995 · arxiv_version: 2405.19995v3 · doi: 10.48550/arxiv.2405.19995 · pith_short_12: ZHKNK3WPKGG7 · pith_short_16: ZHKNK3WPKGG7NZW2 · pith_short_8: ZHKNK3WP

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/ZHKNK3WPKGG7NZW24GYWERJS5A \
  | 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: c9d4d56ecf518df6e6dae1b1624532e809fb184454dd9da9fde61d8857b6896e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e15e1b77fe121222f9cee81e19ad4b035199a5c281e71b86b28080034726202",
    "cross_cats_sorted": [
      "cs.LG",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2024-05-30T12:32:18Z",
    "title_canon_sha256": "12d9f04766b5a86acc99f080bf0df5bde316aefdbb6b362493661eb648f3b2f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.19995",
    "kind": "arxiv",
    "version": 3
  }
}