Pith Number

pith:VXQ7TPME

pith:2011:VXQ7TPMEWS26AAWUG5VFAHCOJD

not attested not anchored not stored refs pending

Balls in Boxes: Variations on a Theme of Warren Ewens and Herbert Wilf

Doron Zeilberger, Shalosh B. Ekhad

arxiv:1106.5531 v1 · 2011-06-27 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VXQ7TPMEWS26AAWUG5VFAHCOJD}

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	2026-05-18T04:19:12.974784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ade1f9bd84b4b5e002d4376a501c4e48f03e0e860e2d6359123f6566afe75357

Aliases

arxiv: 1106.5531 · arxiv_version: 1106.5531v1 · doi: 10.48550/arxiv.1106.5531 · pith_short_12: VXQ7TPMEWS26 · pith_short_16: VXQ7TPMEWS26AAWU · pith_short_8: VXQ7TPME

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/VXQ7TPMEWS26AAWUG5VFAHCOJD \
  | 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: ade1f9bd84b4b5e002d4376a501c4e48f03e0e860e2d6359123f6566afe75357

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d21a32eb8815a2121e6046d1aa9818915d211d41d5555b9b65646f10da30a0c6",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-06-27T22:11:05Z",
    "title_canon_sha256": "943b73929f22889de900fe7f34eedcb80966f678b3eb7fd0085059df5d9228d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5531",
    "kind": "arxiv",
    "version": 1
  }
}