Pith Number

pith:J4OEFFDK

pith:2013:J4OEFFDKIUSHXRCFTMBP6S2SLM

not attested not anchored not stored refs pending

Second-order properties and central limit theorems for geometric functionals of Boolean models

Daniel Hug, G\"unter Last, Matthias Schulte

arxiv:1308.6519 v3 · 2013-08-29 · 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{J4OEFFDKIUSHXRCFTMBP6S2SLM}

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	2026-05-18T01:21:03.068796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f1c42946a45247bc4459b02ff4b525b3609a0a6f790a71147fc900d09de888a

Aliases

arxiv: 1308.6519 · arxiv_version: 1308.6519v3 · doi: 10.48550/arxiv.1308.6519 · pith_short_12: J4OEFFDKIUSH · pith_short_16: J4OEFFDKIUSHXRCF · pith_short_8: J4OEFFDK

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/J4OEFFDKIUSHXRCFTMBP6S2SLM \
  | 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: 4f1c42946a45247bc4459b02ff4b525b3609a0a6f790a71147fc900d09de888a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df4cd83fd8ebc340574107cf4b7ce75950ea8ca3988252dfb69b8d6c39f3023a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-08-29T16:55:08Z",
    "title_canon_sha256": "4f2b71161d2708510ca997cae0d46b37efc551d358e6fd3a1b78f2025e201e8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6519",
    "kind": "arxiv",
    "version": 3
  }
}