Pith Number

pith:NS4FNXUZ

pith:2026:NS4FNXUZTDM3VCMAU4DILWSNHQ

not attested not anchored not stored refs pending

Uniform-in-Time Weak Propagation-of-Chaos in Shallow Neural Networks

Joan Bruna, Margalit Glasgow

arxiv:2605.22010 v1 · 2026-05-21 · 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{NS4FNXUZTDM3VCMAU4DILWSNHQ}

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	2026-05-22T01:04:20.292462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cb856de9998d9ba8980a70685da4d3c1fba3a713d1237cd62ce3642d7b8a34c

Aliases

arxiv: 2605.22010 · arxiv_version: 2605.22010v1 · doi: 10.48550/arxiv.2605.22010 · pith_short_12: NS4FNXUZTDM3 · pith_short_16: NS4FNXUZTDM3VCMA · pith_short_8: NS4FNXUZ

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/NS4FNXUZTDM3VCMAU4DILWSNHQ \
  | 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: 6cb856de9998d9ba8980a70685da4d3c1fba3a713d1237cd62ce3642d7b8a34c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8f4f61af4dfc638d8c23567b8753709c92aea91694767e40a552a13c2818f15",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-05-21T05:14:19Z",
    "title_canon_sha256": "fa6f4e72e1fbf3bf9f016c063475ce8044530db9bf5721533ef33ee5f932d56c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22010",
    "kind": "arxiv",
    "version": 1
  }
}