Pith Number

pith:LET5QWKR

pith:2022:LET5QWKRIBGPHNRTWJVE4NT5Z7

not attested not anchored not stored refs pending

100 Years of the (Critical) Ising Model on the Hypercubic Lattice

Hugo Duminil-Copin

arxiv:2208.00864 v1 · 2022-08-01 · 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{LET5QWKRIBGPHNRTWJVE4NT5Z7}

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.

Cited by

1 paper in Pith

A switching identity for cable-graph loop soups and Gaussian free fields

Receipt and verification

First computed	2026-07-05T04:45:05.785991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5927d85951404cf3b633b26a4e367dcfcf6e379d678bbee1873f9915254feee7

Aliases

arxiv: 2208.00864 · arxiv_version: 2208.00864v1 · doi: 10.48550/arxiv.2208.00864 · pith_short_12: LET5QWKRIBGP · pith_short_16: LET5QWKRIBGPHNRT · pith_short_8: LET5QWKR

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/LET5QWKRIBGPHNRTWJVE4NT5Z7 \
  | 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: 5927d85951404cf3b633b26a4e367dcfcf6e379d678bbee1873f9915254feee7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da40b2b2163c2ebdb0100a3c3fba0680ee6bb2ffb768c67d55fce7740047f1ed",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-08-01T13:47:31Z",
    "title_canon_sha256": "39f678543feb6d694b2945ab79076d56caf374e5e7ef4ab157a32f0a0bf9e4ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.00864",
    "kind": "arxiv",
    "version": 1
  }
}