Pith Number

pith:4PWYEDCB

pith:2015:4PWYEDCBZXRVXSPXSIMHUXJQWI

not attested not anchored not stored refs pending

Explicit Expressions for the Variance and Higher Moments of the Size of a Simultaneous Core Partition and its Limiting Distribution

Doron Zeilberger, Shalosh B. Ekhad

arxiv:1508.07637 v2 · 2015-08-30 · 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{4PWYEDCBZXRVXSPXSIMHUXJQWI}

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.

Cited by

1 paper in Pith

Spectral Analysis of Word Statistics

Receipt and verification

First computed	2026-05-18T01:34:07.087986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3ed820c41cde35bc9f792187a5d30b213c458b5d352763517fec613b6a66b42

Aliases

arxiv: 1508.07637 · arxiv_version: 1508.07637v2 · doi: 10.48550/arxiv.1508.07637 · pith_short_12: 4PWYEDCBZXRV · pith_short_16: 4PWYEDCBZXRVXSPX · pith_short_8: 4PWYEDCB

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/4PWYEDCBZXRVXSPXSIMHUXJQWI \
  | 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: e3ed820c41cde35bc9f792187a5d30b213c458b5d352763517fec613b6a66b42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1af2faee046793c9facf254d6c47989000339ea84123e61404a08cc6099dd44d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-30T21:04:47Z",
    "title_canon_sha256": "c09d90ede7c8172d43670024a1f447feabcc22a493811baa8730a756bc1308c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07637",
    "kind": "arxiv",
    "version": 2
  }
}