Pith Number

pith:ZPTIZTZJ

pith:2009:ZPTIZTZJ4J5NEN73FV4S2ZBAYO

not attested not anchored not stored refs pending

Planar Graphical Models which are Easy

Michael Chertkov (LANL), Vladimir Y. Chernyak (Wayne State)

arxiv:0902.0320 v5 · 2009-02-02 · cond-mat.stat-mech · cond-mat.dis-nn · cs.CC · cs.IT · math-ph · math.IT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZPTIZTZJ4J5NEN73FV4S2ZBAYO}

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	2026-05-18T02:14:54.605283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbe68ccf29e27ad237fb2d792d6420c392b4288c75183455c3409310873ef872

Aliases

arxiv: 0902.0320 · arxiv_version: 0902.0320v5 · doi: 10.48550/arxiv.0902.0320 · pith_short_12: ZPTIZTZJ4J5N · pith_short_16: ZPTIZTZJ4J5NEN73 · pith_short_8: ZPTIZTZJ

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/ZPTIZTZJ4J5NEN73FV4S2ZBAYO \
  | 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: cbe68ccf29e27ad237fb2d792d6420c392b4288c75183455c3409310873ef872

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35a97f2852e144a00dd8667183b5f8cddc75b0a95d69ea68d39525094c0f314c",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cs.CC",
      "cs.IT",
      "math-ph",
      "math.IT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-02-02T17:23:26Z",
    "title_canon_sha256": "c3384783e6e1c83cb91a3e9df54591dd74fe05397e2a6f8a2988edb5aee174fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.0320",
    "kind": "arxiv",
    "version": 5
  }
}