Pith Number

pith:ZEIAI3VQ

pith:2010:ZEIAI3VQPOHQ7OBOPV26INYAXI

not attested not anchored not stored refs pending

Exact Results on Potts Model Partition Functions in a Generalized External Field and Weighted-Set Graph Colorings

Robert Shrock, Yan Xu

arxiv:1009.1182 v1 · 2010-09-07 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZEIAI3VQPOHQ7OBOPV26INYAXI}

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	2026-05-18T04:34:47.853932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c910046eb07b8f0fb82e7d75e43700ba26e5717bd7cf5bb952cb2c04e67855af

Aliases

arxiv: 1009.1182 · arxiv_version: 1009.1182v1 · doi: 10.48550/arxiv.1009.1182 · pith_short_12: ZEIAI3VQPOHQ · pith_short_16: ZEIAI3VQPOHQ7OBO · pith_short_8: ZEIAI3VQ

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/ZEIAI3VQPOHQ7OBOPV26INYAXI \
  | 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: c910046eb07b8f0fb82e7d75e43700ba26e5717bd7cf5bb952cb2c04e67855af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20e8bfa359a4ecdc309a481b0041a2c95ee9220c51a2e334948c6d2e6456060d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-09-07T00:24:16Z",
    "title_canon_sha256": "dec4bf07dce21599abb3cab208d6a28e601ba31e5847e2ed241f2c6afd73247a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1182",
    "kind": "arxiv",
    "version": 1
  }
}