Pith Number

pith:2ENMSLUK

pith:2016:2ENMSLUKSGKLUSGDAAEJAFGNXW

not attested not anchored not stored refs pending

Spatial Gibbs random graphs

Daniel Valesin, Jean-Christophe Mourrat

arxiv:1606.01534 v3 · 2016-06-05 · 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{2ENMSLUKSGKLUSGDAAEJAFGNXW}

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	2026-05-18T00:42:32.825580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d11ac92e8a9194ba48c300089014cdbdacfffb2e77374d5a4f31b6f4ab86bc33

Aliases

arxiv: 1606.01534 · arxiv_version: 1606.01534v3 · doi: 10.48550/arxiv.1606.01534 · pith_short_12: 2ENMSLUKSGKL · pith_short_16: 2ENMSLUKSGKLUSGD · pith_short_8: 2ENMSLUK

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/2ENMSLUKSGKLUSGDAAEJAFGNXW \
  | 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: d11ac92e8a9194ba48c300089014cdbdacfffb2e77374d5a4f31b6f4ab86bc33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dce3047859a90dc7f1bd2eb513052f99d2a37cf965a2e819c9855889eafb2f64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-05T17:15:24Z",
    "title_canon_sha256": "4714aa90cca74b7ff70ce1023a0107cd95b9a7e1b2d624b77c775d09b3d64c17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01534",
    "kind": "arxiv",
    "version": 3
  }
}