Pith Number

pith:TQQ6ORRG

pith:2026:TQQ6ORRGCZIFPV4GJDAPGPJFH7

not attested not anchored not stored refs pending

A Kolmogorov fourth-moment bound on Poisson chaos via a martingale core

Guangqu Zheng

arxiv:2607.28742 v1 · 2026-07-30 · 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{TQQ6ORRGCZIFPV4GJDAPGPJFH7}

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

1 paper in Pith

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

Receipt and verification

First computed	2026-08-03T00:12:32.654177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c21e74626165057d78648c0f33d253ff039304ac3024af028d1e4f0979434a7

Aliases

arxiv: 2607.28742 · arxiv_version: 2607.28742v1 · doi: 10.48550/arxiv.2607.28742 · pith_short_12: TQQ6ORRGCZIF · pith_short_16: TQQ6ORRGCZIFPV4G · pith_short_8: TQQ6ORRG

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/TQQ6ORRGCZIFPV4GJDAPGPJFH7 \
  | 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: 9c21e74626165057d78648c0f33d253ff039304ac3024af028d1e4f0979434a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48b11e00ecd034f5fb968c0377b23e2f0e4f53c82d66deab7620496b98104df4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-30T18:03:36Z",
    "title_canon_sha256": "2c8feda748554b3ad69783e4ae85ffe422c7b47d588166aad132f5f6bac66916"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28742",
    "kind": "arxiv",
    "version": 1
  }
}