Pith Number

pith:ZVR4VB6X

pith:2017:ZVR4VB6X6WKFGZWFNCVSMQYT2R

not attested not anchored not stored refs pending

Local limits of spatial Gibbs random graphs

Daniel Valesin, Eric Ossami Endo

arxiv:1712.03841 v1 · 2017-12-11 · 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{ZVR4VB6X6WKFGZWFNCVSMQYT2R}

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	2026-05-18T00:28:19.778217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd63ca87d7f5945366c568ab264313d444ede1bc5486ae67bf670a390283383f

Aliases

arxiv: 1712.03841 · arxiv_version: 1712.03841v1 · doi: 10.48550/arxiv.1712.03841 · pith_short_12: ZVR4VB6X6WKF · pith_short_16: ZVR4VB6X6WKFGZWF · pith_short_8: ZVR4VB6X

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/ZVR4VB6X6WKFGZWFNCVSMQYT2R \
  | 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: cd63ca87d7f5945366c568ab264313d444ede1bc5486ae67bf670a390283383f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25a3b22262121ae170d42b165cfa57a0be0fd42e3251807aa9f903ca945cc8e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-12-11T15:39:34Z",
    "title_canon_sha256": "c1ae000f71f6c21d761066794b146fa4a009e139b0c0a1a7a8b8c678af25ed8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03841",
    "kind": "arxiv",
    "version": 1
  }
}