Pith Number

pith:W5XYZARC

pith:2014:W5XYZARCSHFVTPQCV7P4LKJ737

not attested not anchored not stored refs pending

Finite cycle Gibbs measures on permutations of $\mathbb Z^d$

Florencia G. Leonardi, In\'es Armend\'ariz, Pablo A. Ferrari, Pablo Groisman

arxiv:1407.6542 v2 · 2014-07-24 · 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{W5XYZARCSHFVTPQCV7P4LKJ737}

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	2026-05-18T01:42:32.232087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b76f8c822291cb59be02afdfc5a93fdfe17c92348ff477c84f0f666520eb56f5

Aliases

arxiv: 1407.6542 · arxiv_version: 1407.6542v2 · doi: 10.48550/arxiv.1407.6542 · pith_short_12: W5XYZARCSHFV · pith_short_16: W5XYZARCSHFVTPQC · pith_short_8: W5XYZARC

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/W5XYZARCSHFVTPQCV7P4LKJ737 \
  | 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: b76f8c822291cb59be02afdfc5a93fdfe17c92348ff477c84f0f666520eb56f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14335881230a06cb72bb44e7f6024b2e37bacff8065471f42e81e133b93d0eb8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-07-24T12:10:25Z",
    "title_canon_sha256": "a1b34a30a34981fefc32316fca15c5fee672e7141f0b83f71304b19fc3317fdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.6542",
    "kind": "arxiv",
    "version": 2
  }
}