Pith Number

pith:67I2SJFL

pith:2016:67I2SJFLJBZY7C3J4IKDQOMEMF

not attested not anchored not stored refs pending

Stochastic Domination in Space-Time for the Contact Process

Jacob van den Berg, Stein Andreas Bethuelsen

arxiv:1606.08024 v3 · 2016-06-26 · 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{67I2SJFLJBZY7C3J4IKDQOMEMF}

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	2026-05-18T00:37:58.705112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7d1a924ab48738f8b69e2143839846166b4b98b895374ed7815a5713a9b98d9

Aliases

arxiv: 1606.08024 · arxiv_version: 1606.08024v3 · doi: 10.48550/arxiv.1606.08024 · pith_short_12: 67I2SJFLJBZY · pith_short_16: 67I2SJFLJBZY7C3J · pith_short_8: 67I2SJFL

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/67I2SJFLJBZY7C3J4IKDQOMEMF \
  | 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: f7d1a924ab48738f8b69e2143839846166b4b98b895374ed7815a5713a9b98d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdbdde6e1f0047bb39176d228d092950ceed859861bbd64852242ad62c7efb65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-26T11:48:22Z",
    "title_canon_sha256": "fa561d064c939168b86ea4023a707a5f6b8267a0c7ded39b5188073ce532800e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08024",
    "kind": "arxiv",
    "version": 3
  }
}