Pith Number

pith:4AZYHUEP

pith:2010:4AZYHUEPAAVQDW3TL672BHCQIA

not attested not anchored not stored refs pending

Form factor expansions in the 2D Ising model and Painlev\'e VI

Anthony J. Guttmann, Vladimir V. Mangazeev

arxiv:1002.2480 v2 · 2010-02-12 · math-ph · hep-th · 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{4AZYHUEPAAVQDW3TL672BHCQIA}

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	2026-05-18T00:43:10.085579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e03383d08f002b01db735fbfa09c504027689e2bb041e678a6a2913fcd9f59c9

Aliases

arxiv: 1002.2480 · arxiv_version: 1002.2480v2 · doi: 10.48550/arxiv.1002.2480 · pith_short_12: 4AZYHUEPAAVQ · pith_short_16: 4AZYHUEPAAVQDW3T · pith_short_8: 4AZYHUEP

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/4AZYHUEPAAVQDW3TL672BHCQIA \
  | 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: e03383d08f002b01db735fbfa09c504027689e2bb041e678a6a2913fcd9f59c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c5cb3a21556faf28603a79151ac97974e49e4ed1f3873c917f63eba211db028",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-02-12T06:56:53Z",
    "title_canon_sha256": "f1172ef77d14291224a8bef4279c05464a217d38ae8e8a7d45ed8c1aeea69de2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.2480",
    "kind": "arxiv",
    "version": 2
  }
}