Pith Number

pith:5GWZTTKI

pith:2025:5GWZTTKIQYQANTW4DMZH6JFLBX

not attested not anchored not stored refs pending

Almost sure central limit theorems via chaos expansions and related results

Guangqu Zheng, Leonardo Maini, Maurizia Rossi

arxiv:2502.00759 v3 · 2025-02-02 · 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{5GWZTTKIQYQANTW4DMZH6JFLBX}

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

The Missing Central Limit Theorems for Local Functionals of Berry's Random Wave Model

Phase Transitions in the Fluctuations of Functionals of Random Neural Networks

Receipt and verification

First computed	2026-05-20T00:00:17.630525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9ad99cd48862006cedc1b327f24ab0dfd895ea799332b4793463b64c121ee2a

Aliases

arxiv: 2502.00759 · arxiv_version: 2502.00759v3 · doi: 10.48550/arxiv.2502.00759 · pith_short_12: 5GWZTTKIQYQA · pith_short_16: 5GWZTTKIQYQANTW4 · pith_short_8: 5GWZTTKI

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/5GWZTTKIQYQANTW4DMZH6JFLBX \
  | 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: e9ad99cd48862006cedc1b327f24ab0dfd895ea799332b4793463b64c121ee2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b46e380a824bb3aa588a516afa2195e310a1adaedbfe50bf8c231f50c33f5ad1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-02-02T11:46:39Z",
    "title_canon_sha256": "25faada7bdfe029af06d2f95afce50d4d4c52f88341c89ac14249933eb60223e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.00759",
    "kind": "arxiv",
    "version": 3
  }
}