Pith Number

pith:5PPZWN76

pith:2009:5PPZWN76WLDWVYJAFH5L54FO6H

not attested not anchored not stored refs pending

Solution of an associating lattice gas model with density anomaly on a Husimi lattice

J. F. Stilck, M. A. A. Barbosa, T. J. Oliveira

arxiv:0912.2062 v2 · 2009-12-10 · 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{5PPZWN76WLDWVYJAFH5L54FO6H}

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	2026-05-18T04:12:34.083836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebdf9b37feb2c76ae12029fabef0aef1c45e6e54f0f657b7747f580fd13f4b35

Aliases

arxiv: 0912.2062 · arxiv_version: 0912.2062v2 · doi: 10.48550/arxiv.0912.2062 · pith_short_12: 5PPZWN76WLDW · pith_short_16: 5PPZWN76WLDWVYJA · pith_short_8: 5PPZWN76

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/5PPZWN76WLDWVYJAFH5L54FO6H \
  | 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: ebdf9b37feb2c76ae12029fabef0aef1c45e6e54f0f657b7747f580fd13f4b35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d736098a0c76de6be8a35fb2792ab16446ab7c74653f1188b52167a82c63fdc1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-12-10T18:14:39Z",
    "title_canon_sha256": "2a89c9bd22e65621cbc91217d935e404c2584b890c7c6d2dd5ec769d2ecdf56a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2062",
    "kind": "arxiv",
    "version": 2
  }
}