Pith Number

pith:YX3RARQK

pith:2009:YX3RARQKLNZQSQTTLZGXTCZ4UN

not attested not anchored not stored refs pending

Exponential growth of ponds in invasion percolation on regular trees

Jesse Goodman

arxiv:0912.5205 v1 · 2009-12-28 · 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{YX3RARQKLNZQSQTTLZGXTCZ4UN}

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	2026-05-18T03:50:34.338945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5f710460a5b730942735e4d798b3ca34cfb8e5d5d82ac9ce649b5088a96ff35

Aliases

arxiv: 0912.5205 · arxiv_version: 0912.5205v1 · doi: 10.48550/arxiv.0912.5205 · pith_short_12: YX3RARQKLNZQ · pith_short_16: YX3RARQKLNZQSQTT · pith_short_8: YX3RARQK

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/YX3RARQKLNZQSQTTLZGXTCZ4UN \
  | 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: c5f710460a5b730942735e4d798b3ca34cfb8e5d5d82ac9ce649b5088a96ff35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c493323e8978785c0383085040219e2cc1486bcff59eab8cbd1d37524084cf3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-12-28T19:01:08Z",
    "title_canon_sha256": "76c9fd699b596647dae0b308997ec289dcdc01ecb8f0a3eb457fefa78a571c19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.5205",
    "kind": "arxiv",
    "version": 1
  }
}