Pith Number

pith:7NYX36KR

pith:2013:7NYX36KRAEQXAOKO2MRY7IJULH

not attested not anchored not stored refs pending

The two-dimensional 4-state Potts model in a magnetic field

Bertrand Berche, Lev Shchur, Paolo Butera

arxiv:1301.5219 v1 · 2013-01-22 · hep-lat · 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{7NYX36KRAEQXAOKO2MRY7IJULH}

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	2026-05-18T02:42:15.149341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb717df951012170394ed3238fa13459e4531b56b2ba99307f8ee5983d98766c

Aliases

arxiv: 1301.5219 · arxiv_version: 1301.5219v1 · doi: 10.48550/arxiv.1301.5219 · pith_short_12: 7NYX36KRAEQX · pith_short_16: 7NYX36KRAEQXAOKO · pith_short_8: 7NYX36KR

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/7NYX36KRAEQXAOKO2MRY7IJULH \
  | 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: fb717df951012170394ed3238fa13459e4531b56b2ba99307f8ee5983d98766c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a4de1753801f5dbc2f2964703bcbef77e11f0d4e160ca89ffba7bfd77173619",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-lat",
    "submitted_at": "2013-01-22T16:10:47Z",
    "title_canon_sha256": "cf850d85282051e99e12d632fe537684c059905a75d70b801531d6000b3b249f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5219",
    "kind": "arxiv",
    "version": 1
  }
}