Pith Number

pith:BF73DRDH

pith:2012:BF73DRDHOA4POCVRFLQOOOSARI

not attested not anchored not stored refs pending

On the size of the largest cluster in 2D critical percolation

Jacob van den Berg, Rene Conijn

arxiv:1208.4014 v2 · 2012-08-20 · 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{BF73DRDHOA4POCVRFLQOOOSARI}

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	2026-05-18T03:48:14.464507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

097fb1c4677038f70ab12ae0e73a408a3b5cb634cd5116cbc3d1c258d1fee635

Aliases

arxiv: 1208.4014 · arxiv_version: 1208.4014v2 · doi: 10.48550/arxiv.1208.4014 · pith_short_12: BF73DRDHOA4P · pith_short_16: BF73DRDHOA4POCVR · pith_short_8: BF73DRDH

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/BF73DRDHOA4POCVRFLQOOOSARI \
  | 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: 097fb1c4677038f70ab12ae0e73a408a3b5cb634cd5116cbc3d1c258d1fee635

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90edc74e75f10f79fe0501f661b8407352e774fdf94035884d8f16a9f47bd2a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-08-20T14:07:39Z",
    "title_canon_sha256": "56f6c79a98edabe63165d2c25c2c28bcc321b91a081cad165690a866288698f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4014",
    "kind": "arxiv",
    "version": 2
  }
}