Pith Number

pith:32LWCFTQ

pith:2000:32LWCFTQHAMGSLPAZZPGB7POLE

not attested not anchored not stored refs pending

Nishimori point in the 2D +/- J random-bond Ising model

A. Honecker, M. Picco, P. Pujol

arxiv:cond-mat/0010143 v2 · 2000-10-10 · cond-mat.dis-nn · cond-mat.stat-mech · hep-lat

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32LWCFTQHAMGSLPAZZPGB7POLE}

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	2026-05-18T04:26:12.452225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de976116703818692de0ce5e60fdee5913c4109bd0c0d126273db0efbbd4abe8

Aliases

arxiv: cond-mat/0010143 · arxiv_version: cond-mat/0010143v2 · doi: 10.48550/arxiv.cond-mat/0010143 · pith_short_12: 32LWCFTQHAMG · pith_short_16: 32LWCFTQHAMGSLPA · pith_short_8: 32LWCFTQ

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/32LWCFTQHAMGSLPAZZPGB7POLE \
  | 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: de976116703818692de0ce5e60fdee5913c4109bd0c0d126273db0efbbd4abe8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4d5b2b855a8c9cf8f8cb0f1669761b77c4baa402e8dfc9692eabafcb6ddfe83",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-lat"
    ],
    "license": "",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2000-10-10T10:09:41Z",
    "title_canon_sha256": "1d532d3df12567ce56e391374cb636e67803edcbf92abf143a1bde71fddf6ff7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0010143",
    "kind": "arxiv",
    "version": 2
  }
}