Pith Number

pith:WAEBQRCG

pith:2019:WAEBQRCGYQUD532N6ECAGOILP2

not attested not anchored not stored refs pending

Stationary Distributions for the Voter Model in $d\geq 3$ are Factors of IID

Allan Sly, Lingfu Zhang

arxiv:1908.09450 v4 · 2019-08-26 · math.PR · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WAEBQRCGYQUD532N6ECAGOILP2}

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	2026-07-05T03:50:12.306570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b008184446c4283eef4df10403390b7eb5f34d8278d5bf159363c67d0b3384e0

Aliases

arxiv: 1908.09450 · arxiv_version: 1908.09450v4 · doi: 10.48550/arxiv.1908.09450 · pith_short_12: WAEBQRCGYQUD · pith_short_16: WAEBQRCGYQUD532N · pith_short_8: WAEBQRCG

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/WAEBQRCGYQUD532N6ECAGOILP2 \
  | 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: b008184446c4283eef4df10403390b7eb5f34d8278d5bf159363c67d0b3384e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59a85cdd18c8934c89e05dc49859e62e5c97b016d4f6c591f8e8a2a4534a6eca",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-26T03:29:03Z",
    "title_canon_sha256": "788d286deeeb8a431bb092eac71339f19e2147c7058dd57aaaaa6a5c86a3bcf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09450",
    "kind": "arxiv",
    "version": 4
  }
}