Pith Number

pith:HZG3FNJJ

pith:2025:HZG3FNJJMNKVMSCFE7RWJN3EZB

not attested not anchored not stored refs pending

Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition

Fabio Coppini, Wioletta M. Ruszel

arxiv:2512.13148 v2 · 2025-12-15 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HZG3FNJJMNKVMSCFE7RWJN3EZB}

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	2026-07-14T02:21:26.183529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e4db2b529635556484527e364b764c86c0bc8bc6e24e6caa956613bb03190a8

Aliases

arxiv: 2512.13148 · arxiv_version: 2512.13148v2 · doi: 10.48550/arxiv.2512.13148 · pith_short_12: HZG3FNJJMNKV · pith_short_16: HZG3FNJJMNKVMSCF · pith_short_8: HZG3FNJJ

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/HZG3FNJJMNKVMSCFE7RWJN3EZB \
  | 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: 3e4db2b529635556484527e364b764c86c0bc8bc6e24e6caa956613bb03190a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9689962e957d3add809f0ba45bc4354984f0c257cfe17bb8e0b9972644f3adcd",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-12-15T09:57:01Z",
    "title_canon_sha256": "4fe9b580c02feb7734d50aecbd785362aa1da0e0465f762a22273c0a6ca45b81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.13148",
    "kind": "arxiv",
    "version": 2
  }
}