Pith Number

pith:ZUBOELXF

pith:2008:ZUBOELXFKBTZDCTFUFEFIMKHJI

not attested not anchored not stored refs pending

Critical Value of the Quantum Ising Model on Star-Like Graphs

Jakob E. Bj\"ornberg

arxiv:0812.3113 v1 · 2008-12-16 · math.PR · cond-mat.stat-mech · math-ph · 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{ZUBOELXFKBTZDCTFUFEFIMKHJI}

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	2026-05-18T02:15:04.622791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd02e22ee55067918a65a1485431474a370ad2dda159beb0797d5e12724f6480

Aliases

arxiv: 0812.3113 · arxiv_version: 0812.3113v1 · doi: 10.48550/arxiv.0812.3113 · pith_short_12: ZUBOELXFKBTZ · pith_short_16: ZUBOELXFKBTZDCTF · pith_short_8: ZUBOELXF

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/ZUBOELXFKBTZDCTFUFEFIMKHJI \
  | 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: cd02e22ee55067918a65a1485431474a370ad2dda159beb0797d5e12724f6480

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49c10c639314190d34fa7bc2e2b24f4bf530383b76bd5bdd95a5b0cfe4e79100",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-12-16T17:42:04Z",
    "title_canon_sha256": "ae3e1470e6280a32b5a919d88e6a9495c634893f7546489a259028476bd7d32a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.3113",
    "kind": "arxiv",
    "version": 1
  }
}