Pith Number

pith:YXVWGU4D

pith:2026:YXVWGU4DPCQLM2QGWRTO63NMF3

not attested not anchored not stored refs pending

Four-moment criteria for Poisson convergence on Poisson and Rademacher chaoses

Guangqu Zheng

arxiv:2608.12451 v1 · 2026-08-12 · 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{YXVWGU4DPCQLM2QGWRTO63NMF3}

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	2026-08-14T00:43:17.987746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5eb63538378a0b66a06b466ef6dac2ee7993e24281ceb06ae9263df8f6e1f1d

Aliases

arxiv: 2608.12451 · arxiv_version: 2608.12451v1 · doi: 10.48550/arxiv.2608.12451 · pith_short_12: YXVWGU4DPCQL · pith_short_16: YXVWGU4DPCQLM2QG · pith_short_8: YXVWGU4D

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/YXVWGU4DPCQLM2QGWRTO63NMF3 \
  | 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: c5eb63538378a0b66a06b466ef6dac2ee7993e24281ceb06ae9263df8f6e1f1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2a581d98b5281ecce37693430f1f9c1da3d5d4877f405d2d24921d866e5fb9d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-08-12T17:54:07Z",
    "title_canon_sha256": "d7455a9180159384cd74904fb9db5b8e21f01460ffcd97f53c1c713ffd2fb9a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.12451",
    "kind": "arxiv",
    "version": 1
  }
}