Pith Number

pith:UP5OAWJN

pith:2013:UP5OAWJNVPOJF23X2KJ3BBAV6A

not attested not anchored not stored refs pending

Gibbs measures on permutations over one-dimensional discrete point sets

Marek Biskup, Thomas Richthammer

arxiv:1310.0248 v3 · 2013-10-01 · math.PR · math-ph · math.CO · 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{UP5OAWJNVPOJF23X2KJ3BBAV6A}

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	2026-05-18T02:22:30.093009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3fae0592dabdc92eb77d293b08415f00e63850e34171fb5fdd69bac930b1eab

Aliases

arxiv: 1310.0248 · arxiv_version: 1310.0248v3 · doi: 10.48550/arxiv.1310.0248 · pith_short_12: UP5OAWJNVPOJ · pith_short_16: UP5OAWJNVPOJF23X · pith_short_8: UP5OAWJN

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/UP5OAWJNVPOJF23X2KJ3BBAV6A \
  | 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: a3fae0592dabdc92eb77d293b08415f00e63850e34171fb5fdd69bac930b1eab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4930f50ee2a857182dd3fa56867971df3343864d936903662df64dc5994b4c9b",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-10-01T11:32:46Z",
    "title_canon_sha256": "2629e250d183fc9d145c7d7adae21924f1870282c0017bf4329e90b2cb601ee4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0248",
    "kind": "arxiv",
    "version": 3
  }
}