Pith Number

pith:ZWCGYMFP

pith:2015:ZWCGYMFPS3WQJQ24POICE3S4FB

not attested not anchored not stored refs pending

Bell numbers, partition moves and the eigenvalues of the random-to-top shuffle in Dynkin Types A, B and D

John R. Britnell, Mark Wildon

arxiv:1507.04803 v1 · 2015-07-16 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZWCGYMFPS3WQJQ24POICE3S4FB}

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	2026-05-18T01:36:42.769226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd846c30af96ed04c35c7b90226e5c287c8072b5160661797e30611149a9bf8a

Aliases

arxiv: 1507.04803 · arxiv_version: 1507.04803v1 · doi: 10.48550/arxiv.1507.04803 · pith_short_12: ZWCGYMFPS3WQ · pith_short_16: ZWCGYMFPS3WQJQ24 · pith_short_8: ZWCGYMFP

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/ZWCGYMFPS3WQJQ24POICE3S4FB \
  | 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: cd846c30af96ed04c35c7b90226e5c287c8072b5160661797e30611149a9bf8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "430ee0fe6944f92929f297cd9cfef5f578a024d83d082ffa71226fa584f08fdf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-16T23:55:33Z",
    "title_canon_sha256": "3c41916d78b8a500d17e96ce207e53b812bb396c3580ef924cd9dcb9729c661e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04803",
    "kind": "arxiv",
    "version": 1
  }
}