Pith Number

pith:YSXU76AD

pith:2014:YSXU76ADPGEUERCBSQOPQLZYCX

not attested not anchored not stored refs pending

An extension of MacMahon's Equidistribution Theorem to ordered set partitions

Andrew Timothy Wilson, Jeffrey B. Remmel

arxiv:1408.5817 v2 · 2014-08-25 · 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{YSXU76ADPGEUERCBSQOPQLZYCX}

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	2026-05-18T02:43:44.862660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4af4ff8037989424441941cf82f3815c2177b356b2daa4b75194298da06ce9a

Aliases

arxiv: 1408.5817 · arxiv_version: 1408.5817v2 · doi: 10.48550/arxiv.1408.5817 · pith_short_12: YSXU76ADPGEU · pith_short_16: YSXU76ADPGEUERCB · pith_short_8: YSXU76AD

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/YSXU76ADPGEUERCBSQOPQLZYCX \
  | 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: c4af4ff8037989424441941cf82f3815c2177b356b2daa4b75194298da06ce9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6aceec3e17a1f7c17472bc373f4abf8a9ee8761696da6a999ceca11c5406864d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-08-25T16:00:24Z",
    "title_canon_sha256": "7be72a980c780966ba00928f7d1d9ae16366c80480ffbaca7c4bd11b3cc27a1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5817",
    "kind": "arxiv",
    "version": 2
  }
}