Pith Number

pith:GVS22JFY

pith:1998:GVS22JFYAYRFKCEZL6LEZSFPRJ

not attested not anchored not stored refs pending

Mean-Field Study of the Degenerate Blume-Emery-Griffiths Model in a Random Crystal Field

Luciano Bachmann, N. S. Branco

arxiv:cond-mat/9803220 v1 · 1998-03-18 · 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{GVS22JFYAYRFKCEZL6LEZSFPRJ}

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	2026-05-18T01:39:30.917590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3565ad24b806225508995f964cc8af8a4d860279f5524fc7fabda70ccbb04a4a

Aliases

arxiv: cond-mat/9803220 · arxiv_version: cond-mat/9803220v1 · doi: 10.48550/arxiv.cond-mat/9803220 · pith_short_12: GVS22JFYAYRF · pith_short_16: GVS22JFYAYRFKCEZ · pith_short_8: GVS22JFY

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/GVS22JFYAYRFKCEZL6LEZSFPRJ \
  | 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: 3565ad24b806225508995f964cc8af8a4d860279f5524fc7fabda70ccbb04a4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5a94ee8e41702095742a323715a2e2d6ec0fd20bedbb85d8d7228bd3594a841",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "1998-03-18T12:47:41Z",
    "title_canon_sha256": "79b23ab9989ef9dec4fee8d4dbf06e5fab9b6d1bfeb77cd1d56ed1ffb0a5aa85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9803220",
    "kind": "arxiv",
    "version": 1
  }
}