Pith Number

pith:FVC7RG4T

pith:2026:FVC7RG4TR5JQ3O5BYH7MXOOCE4

not attested not anchored not stored refs pending

The Lee-Yang property of the Blume-Capel model

Yurij Holovatch, Yuri Kozitsky

arxiv:2607.16958 v1 · 2026-07-18 · math-ph · cond-mat.stat-mech · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FVC7RG4TR5JQ3O5BYH7MXOOCE4}

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	2026-07-21T01:21:08.129465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d45f89b938f530dbba1c1fecbb9c2270de1f39544466df949c1883ed5d70e85

Aliases

arxiv: 2607.16958 · arxiv_version: 2607.16958v1 · doi: 10.48550/arxiv.2607.16958 · pith_short_12: FVC7RG4TR5JQ · pith_short_16: FVC7RG4TR5JQ3O5B · pith_short_8: FVC7RG4T

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/FVC7RG4TR5JQ3O5BYH7MXOOCE4 \
  | 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: 2d45f89b938f530dbba1c1fecbb9c2270de1f39544466df949c1883ed5d70e85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d33e7f81c56bca66406d57f736a4841707471e5797e74e6983957a56d7f7595",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-18T20:28:52Z",
    "title_canon_sha256": "9c6f13a8d4aa4e45f326c10fa2c13d7f3b5f6185890ed4bece669e91ae08c85d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16958",
    "kind": "arxiv",
    "version": 1
  }
}