Pith Number

pith:CGGGRAPA

pith:2009:CGGGRAPAW5BBQVYIOVSIPUZ7IA

not attested not anchored not stored refs pending

Collision statistics of clusters: From Poisson model to Poisson mixtures

Sascha Vongehr, Shaochun Tang, Xiangkang Meng

arxiv:0908.3047 v1 · 2009-08-23 · physics.chem-ph · physics.atm-clus · physics.data-an · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CGGGRAPAW5BBQVYIOVSIPUZ7IA}

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	2026-07-04T17:21:21.183041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

118c6881e0b742185708756487d33f403cf124bae7cfa19a0b5d18a84e64e8aa

Aliases

arxiv: 0908.3047 · arxiv_version: 0908.3047v1 · doi: 10.48550/arxiv.0908.3047 · pith_short_12: CGGGRAPAW5BB · pith_short_16: CGGGRAPAW5BBQVYI · pith_short_8: CGGGRAPA

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/CGGGRAPAW5BBQVYIOVSIPUZ7IA \
  | 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: 118c6881e0b742185708756487d33f403cf124bae7cfa19a0b5d18a84e64e8aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6210d0e17531eeba6cd93c7b227b05817dffd42716c6a108ead344c8ad3973f6",
    "cross_cats_sorted": [
      "physics.atm-clus",
      "physics.data-an",
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2009-08-23T08:55:58Z",
    "title_canon_sha256": "7a794f8e80ebc8283ce87edac100ae29ba836f797d80654365a1ce990e0ae55d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.3047",
    "kind": "arxiv",
    "version": 1
  }
}