Pith Number

pith:GCIO2O3P

pith:2011:GCIO2O3P66OAG3F2HSQ5TIFKTU

not attested not anchored not stored refs pending

Cluster detection in networks using percolation

Ery Arias-Castro, Geoffrey R. Grimmett

arxiv:1104.0338 v2 · 2011-04-02 · 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{GCIO2O3P66OAG3F2HSQ5TIFKTU}

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	2026-05-18T03:30:15.095393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3090ed3b6ff79c036cba3ca1d9a0aa9d2187cf272d8c7b1826835126e9ace1f6

Aliases

arxiv: 1104.0338 · arxiv_version: 1104.0338v2 · doi: 10.48550/arxiv.1104.0338 · pith_short_12: GCIO2O3P66OA · pith_short_16: GCIO2O3P66OAG3F2 · pith_short_8: GCIO2O3P

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/GCIO2O3P66OAG3F2HSQ5TIFKTU \
  | 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: 3090ed3b6ff79c036cba3ca1d9a0aa9d2187cf272d8c7b1826835126e9ace1f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2bed55c8cfbf5422953ff38ed9a8de2cd795f4fbca08d41dc9ba251d1fd4402",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-04-02T21:35:02Z",
    "title_canon_sha256": "57e4c55e09ffd8fad678fe21677965f709de96c2535e51ca73a512a033fcaa7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0338",
    "kind": "arxiv",
    "version": 2
  }
}