Pith Number

pith:VWBM5AJI

pith:2010:VWBM5AJIBKO2W44CLKOBLZYCTF

not attested not anchored not stored refs pending

Percolation and limit theory for the Poisson lilypond model

Guenter Last, Mathew D. Penrose

arxiv:1008.0769 v1 · 2010-08-04 · 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{VWBM5AJIBKO2W44CLKOBLZYCTF}

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	2026-05-18T04:42:35.662466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad82ce81280a9dab73825a9c15e702995df010e7b92b370cd863f9e23137c692

Aliases

arxiv: 1008.0769 · arxiv_version: 1008.0769v1 · doi: 10.48550/arxiv.1008.0769 · pith_short_12: VWBM5AJIBKO2 · pith_short_16: VWBM5AJIBKO2W44C · pith_short_8: VWBM5AJI

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/VWBM5AJIBKO2W44CLKOBLZYCTF \
  | 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: ad82ce81280a9dab73825a9c15e702995df010e7b92b370cd863f9e23137c692

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b03aa5f8974bb4b550506c2751bb6c5fb0b0cf73fd6477425b6e9603fd762ecd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-08-04T12:45:04Z",
    "title_canon_sha256": "e8853883ae0cf8c20d2004322d40c9d38f5c907bbf95cc778153c671bf83ad48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0769",
    "kind": "arxiv",
    "version": 1
  }
}