Pith Number

pith:BUBZRKOH

pith:2016:BUBZRKOHDWBOCYQDCHV7UNZB5X

not attested not anchored not stored refs pending

Explicit (Polynomial!) Expressions for the Expectation, Variance and Higher Moments of the Size of a (2n + 1, 2n + 3)-core partition with Distinct Parts

Anthony Zaleski, Doron Zeilberger

arxiv:1611.05775 v2 · 2016-11-17 · 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{BUBZRKOHDWBOCYQDCHV7UNZB5X}

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	2026-05-18T00:55:28.274745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d0398a9c71d82e1620311ebfa3721edc752c0beb791d7e741f9172a13083f5e

Aliases

arxiv: 1611.05775 · arxiv_version: 1611.05775v2 · doi: 10.48550/arxiv.1611.05775 · pith_short_12: BUBZRKOHDWBO · pith_short_16: BUBZRKOHDWBOCYQD · pith_short_8: BUBZRKOH

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/BUBZRKOHDWBOCYQDCHV7UNZB5X \
  | 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: 0d0398a9c71d82e1620311ebfa3721edc752c0beb791d7e741f9172a13083f5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54363177405af8a92f39492731893b60b66afa4fe9fa9c0f1a531be68331051e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-17T16:42:08Z",
    "title_canon_sha256": "08f767228b9665da8eccc931cdaac79d60b4b534eea4b24cbf22e42e88e26bb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05775",
    "kind": "arxiv",
    "version": 2
  }
}