pith. sign in
Pith Number

pith:PBTTW2S4

pith:2012:PBTTW2S4PR4WWQJWL7FVWIFMGA
not attested not anchored not stored refs pending

The Ising ferromagnet in dimension five: link and spin overlaps

I. A. Campbell, P. H. Lundow

arxiv:1211.2006 v2 · 2012-11-08 · cond-mat.stat-mech · cond-mat.dis-nn

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PBTTW2S4PR4WWQJWL7FVWIFMGA}

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 2026-05-18T03:34:35.197901Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

78673b6a5c7c796b41365fcb5b20ac301d8bf8fa8b0c727cdd70587115f3353d

Aliases

arxiv: 1211.2006 · arxiv_version: 1211.2006v2 · doi: 10.48550/arxiv.1211.2006 · pith_short_12: PBTTW2S4PR4W · pith_short_16: PBTTW2S4PR4WWQJW · pith_short_8: PBTTW2S4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PBTTW2S4PR4WWQJWL7FVWIFMGA \
  | 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: 78673b6a5c7c796b41365fcb5b20ac301d8bf8fa8b0c727cdd70587115f3353d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "cad6fd3d9a33e856ee3db42037525cbee750059a23a7550968e02ad10be4fe3a",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-11-08T22:17:54Z",
    "title_canon_sha256": "f6c42b689960752ecce3419e7f8d127906705837caedcf5df84d3290347af099"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2006",
    "kind": "arxiv",
    "version": 2
  }
}