Pith Number

pith:ICAZLAHW

pith:2011:ICAZLAHWEP7JKATCET2L2GX2TC

not attested not anchored not stored refs pending

Central limit theorems for $U$-statistics of Poisson point processes

Matthias Reitzner, Matthias Schulte

arxiv:1104.1039 v3 · 2011-04-06 · 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{ICAZLAHWEP7JKATCET2L2GX2TC}

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	2026-05-18T03:04:59.852645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40819580f623fe95026224f4bd1afa98af3d479eb15c6060e1085ee65f929719

Aliases

arxiv: 1104.1039 · arxiv_version: 1104.1039v3 · doi: 10.48550/arxiv.1104.1039 · pith_short_12: ICAZLAHWEP7J · pith_short_16: ICAZLAHWEP7JKATC · pith_short_8: ICAZLAHW

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/ICAZLAHWEP7JKATCET2L2GX2TC \
  | 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: 40819580f623fe95026224f4bd1afa98af3d479eb15c6060e1085ee65f929719

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94cefd7bffd5f1b1f05b4edb721d70d9d834043f1d77b33e2be6209f79a22e2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-04-06T09:00:43Z",
    "title_canon_sha256": "374831a5493b510790d46845d8f5c32cd8a26e41c6bb4663d65a61afbd7f75f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1039",
    "kind": "arxiv",
    "version": 3
  }
}