Pith Number

pith:T4K3NJZX

pith:2026:T4K3NJZXAJBPV35VPQ5LW2IOIG

not attested not anchored not stored refs pending

Width-Robust Learnability in Mean-Field Bayesian Neural Networks

Dmitry Vaintrob, Kaarel H\"anni

arxiv:2607.05735 v1 · 2026-07-07 · stat.ML · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T4K3NJZXAJBPV35VPQ5LW2IOIG}

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	2026-07-08T01:18:42.918980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f15b6a7370242faefb57c3abb690e41900d5ac36646bfd6424a83098230df3d

Aliases

arxiv: 2607.05735 · arxiv_version: 2607.05735v1 · doi: 10.48550/arxiv.2607.05735 · pith_short_12: T4K3NJZXAJBP · pith_short_16: T4K3NJZXAJBPV35V · pith_short_8: T4K3NJZX

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/T4K3NJZXAJBPV35VPQ5LW2IOIG \
  | 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: 9f15b6a7370242faefb57c3abb690e41900d5ac36646bfd6424a83098230df3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "562bffd0d63d70426e81152b02c509b2f3ca7c66751e65af218ea6fd9635577d",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-07-07T01:41:42Z",
    "title_canon_sha256": "7bbfa602e7df036fee042107a22ecb4efe8be0dfac6a04aa353697f990febf8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05735",
    "kind": "arxiv",
    "version": 1
  }
}