Pith Number

pith:2YB2FMBR

pith:2026:2YB2FMBRE4HH5EMNGVYLMXWNZ5

not attested not anchored not stored refs pending

Quantifying Uncertainty In Wide Two-Layer Neural Networks: On The Law Of The Limiting Fluctuation Process

Arnaud Descours (LSAF), Arnaud Guillin (LMBP), Boris Nectoux (LMBP), Geoffrey Lacour (MaIAGE), LMBP), Manon Michel (LMBP), Paul Stos (UCA

arxiv:2606.05982 v1 · 2026-06-04 · cs.NE · math.AP · 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{2YB2FMBRE4HH5EMNGVYLMXWNZ5}

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	2026-06-05T01:15:29.494781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d603a2b031270e7e918d3570b65ecdcf787ab11796c3d2b09bf55b2a90ec700c

Aliases

arxiv: 2606.05982 · arxiv_version: 2606.05982v1 · doi: 10.48550/arxiv.2606.05982 · pith_short_12: 2YB2FMBRE4HH · pith_short_16: 2YB2FMBRE4HH5EMN · pith_short_8: 2YB2FMBR

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/2YB2FMBRE4HH5EMNGVYLMXWNZ5 \
  | 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: d603a2b031270e7e918d3570b65ecdcf787ab11796c3d2b09bf55b2a90ec700c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75f513255e379c12b7eba7641cbebe834ec22da15d2f62ac5adeb09284de594d",
    "cross_cats_sorted": [
      "math.AP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NE",
    "submitted_at": "2026-06-04T10:25:23Z",
    "title_canon_sha256": "a0c39255a28096f715d2f7b55ed02be7a8cbc8e9858809d1824c795bef388ff5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05982",
    "kind": "arxiv",
    "version": 1
  }
}