Pith Number

pith:WBFFA23O

pith:2012:WBFFA23OXG4CJNDWGQ237ROLRI

not attested not anchored not stored refs pending

Sum rule for the eight-vertex model on its combinatorial line

P. Zinn-Justin

arxiv:1202.4420 v2 · 2012-02-20 · 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{WBFFA23OXG4CJNDWGQ237ROLRI}

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	2026-05-18T03:52:38.494377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b04a506b6eb9b824b4763435bfc5cb8a15668b17dcaa33a4176795b826b0d285

Aliases

arxiv: 1202.4420 · arxiv_version: 1202.4420v2 · doi: 10.48550/arxiv.1202.4420 · pith_short_12: WBFFA23OXG4C · pith_short_16: WBFFA23OXG4CJNDW · pith_short_8: WBFFA23O

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/WBFFA23OXG4CJNDWGQ237ROLRI \
  | 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: b04a506b6eb9b824b4763435bfc5cb8a15668b17dcaa33a4176795b826b0d285

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d3e36c7d68238c1d739bbe39c5e46c0b08599606514822766ff8b1cee1a94f7",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-02-20T19:00:37Z",
    "title_canon_sha256": "e487b6825bd087fb5b382f9626e792b2ed3c9409651059ce9ba70e9f486db00d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4420",
    "kind": "arxiv",
    "version": 2
  }
}