Pith Number

pith:BGND6MN6

pith:2014:BGND6MN6AVWPPZRR2XQMFM774W

not attested not anchored not stored refs pending

Fuzzy transformations and extremality of Gibbs measures for the Potts model on a Cayley tree

C. Kuelske, U. A. Rozikov

arxiv:1403.5775 v2 · 2014-03-23 · 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{BGND6MN6AVWPPZRR2XQMFM774W}

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	2026-05-18T01:17:26.142206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

099a3f31be056cf7e631d5e0c2b3ffe5aa317c9b51f3e19878ac150278c219fc

Aliases

arxiv: 1403.5775 · arxiv_version: 1403.5775v2 · doi: 10.48550/arxiv.1403.5775 · pith_short_12: BGND6MN6AVWP · pith_short_16: BGND6MN6AVWPPZRR · pith_short_8: BGND6MN6

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/BGND6MN6AVWPPZRR2XQMFM774W \
  | 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: 099a3f31be056cf7e631d5e0c2b3ffe5aa317c9b51f3e19878ac150278c219fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18a6b67aeabd8081fb5728015ffff3a846f5f5b3d5face328a9e0aebd1676593",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-03-23T17:13:59Z",
    "title_canon_sha256": "3a2c76072e32ae21551432f2c190e74db9e8d10d9b8b77aa9fe372423ee845d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.5775",
    "kind": "arxiv",
    "version": 2
  }
}