Pith Number

pith:MCBQEGUQ

pith:1998:MCBQEGUQNV64PVFO5ZNWLZWQAQ

not attested not anchored not stored refs pending

A Cluster Expansion for Dipole Gases

J. R. Parreira, Oscar Bolina

arxiv:cond-mat/9809023 v1 · 1998-09-01 · 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{MCBQEGUQNV64PVFO5ZNWLZWQAQ}

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	2026-05-18T01:39:30.120192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6083021a906d7dc7d4aeee5b65e6d0041296b3c5481709a4af8687910dd66248

Aliases

arxiv: cond-mat/9809023 · arxiv_version: cond-mat/9809023v1 · doi: 10.48550/arxiv.cond-mat/9809023 · pith_short_12: MCBQEGUQNV64 · pith_short_16: MCBQEGUQNV64PVFO · pith_short_8: MCBQEGUQ

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/MCBQEGUQNV64PVFO5ZNWLZWQAQ \
  | 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: 6083021a906d7dc7d4aeee5b65e6d0041296b3c5481709a4af8687910dd66248

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7aaa46f8e640aff009a83055b7427dec6913b879872828ee5336cd81c79b0d7a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "1998-09-01T21:38:27Z",
    "title_canon_sha256": "a932352d6aa76d7c205fb12a5cc5fee5a678e7d41941656396e0c214c0165643"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9809023",
    "kind": "arxiv",
    "version": 1
  }
}