Pith Number

pith:YOH55F6B

pith:1997:YOH55F6BGVMRA6QNFXABVTWEVT

not attested not anchored not stored refs pending

Ground State Entropy of Potts Antiferromagnets: Bounds, Series, and Monte Carlo Measurements

Robert Shrock, Shan-Ho Tsai (Institute for Theoretical Physics, State University of New York at Stony Brook)

arxiv:cond-mat/9706162 v1 · 1997-06-16 · cond-mat.stat-mech · hep-lat · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YOH55F6BGVMRA6QNFXABVTWEVT}

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	2026-07-04T16:04:01.377410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c38fde97c13559107a0d2dc01acec4acf1a905434af088f072096e658e831fbb

Aliases

arxiv: cond-mat/9706162 · arxiv_version: cond-mat/9706162v1 · doi: 10.48550/arxiv.cond-mat/9706162 · pith_short_12: YOH55F6BGVMR · pith_short_16: YOH55F6BGVMRA6QN · pith_short_8: YOH55F6B

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/YOH55F6BGVMRA6QNFXABVTWEVT \
  | 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: c38fde97c13559107a0d2dc01acec4acf1a905434af088f072096e658e831fbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "294c8e889fb8f79abd019560829c090bfb5ea107e38b3c8b08b61cc3c8c31901",
    "cross_cats_sorted": [
      "hep-lat",
      "math.CO"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "1997-06-16T18:13:16Z",
    "title_canon_sha256": "fe62fa016ffc9fbeb3e1fb14d5f206302213ba0f378ded072be7746d72c8f3fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9706162",
    "kind": "arxiv",
    "version": 1
  }
}