Pith Number

pith:K5J5QJJE

pith:2010:K5J5QJJEOKCJ3FPFJMTPY7CULF

not attested not anchored not stored refs pending

Central limit theorems for the excursion set volumes of weakly dependent random fields

Alexander Bulinski, Evgeny Spodarev, Florian Timmermann

arxiv:1005.0483 v2 · 2010-05-04 · math.PR · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K5J5QJJEOKCJ3FPFJMTPY7CULF}

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	2026-05-18T04:01:11.766570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5753d8252472849d95e54b26fc7c54596e56cf66817d7359228009d18a79e84d

Aliases

arxiv: 1005.0483 · arxiv_version: 1005.0483v2 · doi: 10.48550/arxiv.1005.0483 · pith_short_12: K5J5QJJEOKCJ · pith_short_16: K5J5QJJEOKCJ3FPF · pith_short_8: K5J5QJJE

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/K5J5QJJEOKCJ3FPFJMTPY7CULF \
  | 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: 5753d8252472849d95e54b26fc7c54596e56cf66817d7359228009d18a79e84d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1500702cd08800a8d5670aeee0059722a83aeb02c6d657d016eaefd59f2a51b3",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-05-04T10:19:36Z",
    "title_canon_sha256": "b105619f00a705192dfbb1b25afe0fe5f3ba65a8926becebbc47d62bd8633102"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.0483",
    "kind": "arxiv",
    "version": 2
  }
}