Pith Number

pith:BGVG6OOX

pith:2011:BGVG6OOXRKQKBJW4KRRWYW2NE5

not attested not anchored not stored refs pending

Malliavin-Stein method for multi-dimensional U-statistics of Poisson point processes

Nguyen Tuan Minh

arxiv:1111.2140 v1 · 2011-11-09 · 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{BGVG6OOXRKQKBJW4KRRWYW2NE5}

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	2026-05-18T04:08:44.041731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09aa6f39d78aa0a0a6dc54636c5b4d2774e13a3210e70bfbdd8cedcc28722c0c

Aliases

arxiv: 1111.2140 · arxiv_version: 1111.2140v1 · doi: 10.48550/arxiv.1111.2140 · pith_short_12: BGVG6OOXRKQK · pith_short_16: BGVG6OOXRKQKBJW4 · pith_short_8: BGVG6OOX

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/BGVG6OOXRKQKBJW4KRRWYW2NE5 \
  | 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: 09aa6f39d78aa0a0a6dc54636c5b4d2774e13a3210e70bfbdd8cedcc28722c0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "907870ec5b13808724ce9179d234b5b17f502d62e069eb42d6c5ac11a7a3a1a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-09T08:59:49Z",
    "title_canon_sha256": "51e484179d97445f968329b0a14640b8dc1871b4ced9fad8ea7849edf8053528"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2140",
    "kind": "arxiv",
    "version": 1
  }
}