Pith Number

pith:2PKGJWTB

pith:2011:2PKGJWTBBGALIXRIKMT7CACGBB

not attested not anchored not stored refs pending

Ergodicity and Percolation for Variants of One-dimensional Voter Models

C. M. Newman, K. Ravishankar, Y. Mohylevskyy

arxiv:1112.1893 v4 · 2011-12-08 · 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{2PKGJWTBBGALIXRIKMT7CACGBB}

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	2026-05-18T03:27:21.432029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3d464da610980b45e285327f10046084b83f17ff2886ec5f0aae191f7c301a6

Aliases

arxiv: 1112.1893 · arxiv_version: 1112.1893v4 · doi: 10.48550/arxiv.1112.1893 · pith_short_12: 2PKGJWTBBGAL · pith_short_16: 2PKGJWTBBGALIXRI · pith_short_8: 2PKGJWTB

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/2PKGJWTBBGALIXRIKMT7CACGBB \
  | 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: d3d464da610980b45e285327f10046084b83f17ff2886ec5f0aae191f7c301a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa12454f6508e11d04f4d323d36c2c59c68894bee2feb993f139aebe3aac3942",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-08T17:40:19Z",
    "title_canon_sha256": "405fbaf425bfcf52530c17a6c424e4bd62333b38fb7ad1518ce5c003afc77a9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1893",
    "kind": "arxiv",
    "version": 4
  }
}