Pith Number

pith:XXQSF427

pith:1998:XXQSF427TY5BUOGZIQB3UCSN5K

not attested not anchored not stored refs pending

Ground State Entropy of Potts Antiferromagnets: Homeomorphic Classes with Noncompact W Boundaries

Robert Shrock, Shan-Ho Tsai

arxiv:cond-mat/9811410 v1 · 1998-11-29 · 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{XXQSF427TY5BUOGZIQB3UCSN5K}

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	2026-05-18T01:39:29.540027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bde122f35f9e3a1a38d94403ba0a4deabab717c2944770dd1877b3c5876abf4f

Aliases

arxiv: cond-mat/9811410 · arxiv_version: cond-mat/9811410v1 · doi: 10.48550/arxiv.cond-mat/9811410 · pith_short_12: XXQSF427TY5B · pith_short_16: XXQSF427TY5BUOGZ · pith_short_8: XXQSF427

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/XXQSF427TY5BUOGZIQB3UCSN5K \
  | 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: bde122f35f9e3a1a38d94403ba0a4deabab717c2944770dd1877b3c5876abf4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daa8e68efbe5d1f38bdecce88dca00c4c81fb3c4a73b5f9af87aa79da61573be",
    "cross_cats_sorted": [
      "hep-lat",
      "math.CO"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "1998-11-29T23:58:31Z",
    "title_canon_sha256": "6f32ebf37b7f35e1d39b1550a4c38fed364653f869aad7e0999a028130edc2ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9811410",
    "kind": "arxiv",
    "version": 1
  }
}