Pith Number

pith:YGZLAUTX

pith:2009:YGZLAUTX734T257IHR4WNJ2KBX

not attested not anchored not stored refs pending

Empires and Percolation: Stochastic Merging of Adjacent Regions

D. J. Aldous, J. R. Ong, W. Zhou

arxiv:0911.0601 v1 · 2009-11-03 · 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{YGZLAUTX734T257IHR4WNJ2KBX}

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	2026-05-18T02:11:00.146604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1b2b05277fef93d77e83c7966a74a0de390d3af69cf589ba10595a52ede36f1

Aliases

arxiv: 0911.0601 · arxiv_version: 0911.0601v1 · doi: 10.48550/arxiv.0911.0601 · pith_short_12: YGZLAUTX734T · pith_short_16: YGZLAUTX734T257I · pith_short_8: YGZLAUTX

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/YGZLAUTX734T257IHR4WNJ2KBX \
  | 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: c1b2b05277fef93d77e83c7966a74a0de390d3af69cf589ba10595a52ede36f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f14c2a9cb5e8402832f64abf120454ea52d0a3369465f7bc9812490cdc44aca1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-11-03T15:57:16Z",
    "title_canon_sha256": "48d9cbc7b9bbdb7518215e8603d11dfc018a2414fd9cebf55c96ba7752ec323e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0601",
    "kind": "arxiv",
    "version": 1
  }
}