Pith Number

pith:4UJ2WHMN

pith:2009:4UJ2WHMNTPY2XJH2OVWBZCIZDR

not attested not anchored not stored refs pending

Spin-1/2 Ising-Heisenberg model with the pair XYZ Heisenberg interaction and quartic Ising interactions as the exactly soluble zero-field eight-vertex model

Jozef Strecka, Kazuhiko Minami, Lucia Canova

arxiv:0902.1024 v2 · 2009-02-06 · 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{4UJ2WHMNTPY2XJH2OVWBZCIZDR}

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	2026-05-18T02:14:49.079674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e513ab1d8d9bf1aba4fa756c1c89191c789d2cf4d3ba2f037f05d761afab0bff

Aliases

arxiv: 0902.1024 · arxiv_version: 0902.1024v2 · doi: 10.48550/arxiv.0902.1024 · pith_short_12: 4UJ2WHMNTPY2 · pith_short_16: 4UJ2WHMNTPY2XJH2 · pith_short_8: 4UJ2WHMN

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/4UJ2WHMNTPY2XJH2OVWBZCIZDR \
  | 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: e513ab1d8d9bf1aba4fa756c1c89191c789d2cf4d3ba2f037f05d761afab0bff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1ff42199512dfc8ef82970552a6b605be09fc539b0d97a18701b4a36804bd4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-02-06T07:40:40Z",
    "title_canon_sha256": "de00407b1cd4ec7b3d9f149311a6a9beb3b732b70eef5a682311f06e845ae4d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.1024",
    "kind": "arxiv",
    "version": 2
  }
}