Pith Number

pith:3VTC7AX5

pith:2013:3VTC7AX5GCTI34XWCN5DNWHBAE

not attested not anchored not stored refs pending

Gamma limits and U-statistics on the Poisson space

Christoph Thaele, Giovanni Peccati

arxiv:1301.7289 v1 · 2013-01-30 · 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{3VTC7AX5GCTI34XWCN5DNWHBAE}

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	2026-05-18T03:13:23.545702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd662f82fd30a68df2f6137a36d8e101009b725d116b58b678a2b88ad1eaed17

Aliases

arxiv: 1301.7289 · arxiv_version: 1301.7289v1 · doi: 10.48550/arxiv.1301.7289 · pith_short_12: 3VTC7AX5GCTI · pith_short_16: 3VTC7AX5GCTI34XW · pith_short_8: 3VTC7AX5

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/3VTC7AX5GCTI34XWCN5DNWHBAE \
  | 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: dd662f82fd30a68df2f6137a36d8e101009b725d116b58b678a2b88ad1eaed17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cc209ec554240b7e59046e13abc1b6d61685d443ebd7c4f4d9c76a9b32f4181",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-30T17:04:32Z",
    "title_canon_sha256": "71b5f34196b5ba2ceac9578e4db3c2291ee9bccb20613283b5c01c9a673e663a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7289",
    "kind": "arxiv",
    "version": 1
  }
}