Pith Number

pith:5WZLRWAL

pith:2012:5WZLRWALX7LJSEAK2TYUN5VFD7

not attested not anchored not stored refs pending

Height representation of XOR-Ising loops via bipartite dimers

B\'eatrice de Tili\`ere, C\'edric Boutillier

arxiv:1211.4825 v2 · 2012-11-20 · math.PR · 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{5WZLRWALX7LJSEAK2TYUN5VFD7}

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	2026-05-18T02:43:37.107929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edb2b8d80bbfd699100ad4f146f6a51fe34c3002d05885ca23f2699b788ff7df

Aliases

arxiv: 1211.4825 · arxiv_version: 1211.4825v2 · doi: 10.48550/arxiv.1211.4825 · pith_short_12: 5WZLRWALX7LJ · pith_short_16: 5WZLRWALX7LJSEAK · pith_short_8: 5WZLRWAL

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/5WZLRWALX7LJSEAK2TYUN5VFD7 \
  | 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: edb2b8d80bbfd699100ad4f146f6a51fe34c3002d05885ca23f2699b788ff7df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83b85c0946508c71b9978ca340c62b14f62a4306726e0c1b165e4f1366438672",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-11-20T18:17:29Z",
    "title_canon_sha256": "3e82dbd08ff979be3b0f532e3293520a8af397738429be0a1002772b2acc676b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4825",
    "kind": "arxiv",
    "version": 2
  }
}