Pith Number

pith:XPL76EYY

pith:2007:XPL76EYYJP5WUXPDXIQNGXWHVJ

not attested not anchored not stored refs pending

The size of a pond in 2D invasion percolation

Antal A. J\'arai, B\'alint V\'agv\"olgyi, Jacob van den Berg

arxiv:0708.4369 v1 · 2007-08-31 · 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{XPL76EYYJP5WUXPDXIQNGXWHVJ}

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	2026-05-18T04:32:00.165609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbd7ff13184bfb6a5de3ba20d35ec7aa5a4380bc95ae32f7ba6461259caf0d0e

Aliases

arxiv: 0708.4369 · arxiv_version: 0708.4369v1 · doi: 10.48550/arxiv.0708.4369 · pith_short_12: XPL76EYYJP5W · pith_short_16: XPL76EYYJP5WUXPD · pith_short_8: XPL76EYY

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/XPL76EYYJP5WUXPDXIQNGXWHVJ \
  | 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: bbd7ff13184bfb6a5de3ba20d35ec7aa5a4380bc95ae32f7ba6461259caf0d0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9803ab5c0aab6d76f45b2330a9101970d3d9449decec4361ce5cd43b27a7bc93",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-08-31T15:24:37Z",
    "title_canon_sha256": "4f69543f403791d9381d97b3dccf0dcd7f5b071434e186192a09c1fa8fe8a762"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.4369",
    "kind": "arxiv",
    "version": 1
  }
}