Pith Number

pith:Z2YI464U

pith:2011:Z2YI464U7JMVUWHQRG3GZEH5VQ

not attested not anchored not stored refs pending

Motzkin Algebras

Georgia Benkart, Tom Halverson

arxiv:1106.5277 v2 · 2011-06-26 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z2YI464U7JMVUWHQRG3GZEH5VQ}

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	2026-05-18T03:20:35.839486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceb08e7b94fa595a58f089b66c90fdac1faf6436dabfe6fd5c413bf09b9ed0e2

Aliases

arxiv: 1106.5277 · arxiv_version: 1106.5277v2 · doi: 10.48550/arxiv.1106.5277 · pith_short_12: Z2YI464U7JMV · pith_short_16: Z2YI464U7JMVUWHQ · pith_short_8: Z2YI464U

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/Z2YI464U7JMVUWHQRG3GZEH5VQ \
  | 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: ceb08e7b94fa595a58f089b66c90fdac1faf6436dabfe6fd5c413bf09b9ed0e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9696000e62003b4c11c83670480f5c6742a0756319de801921f913e8438643fa",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-26T22:33:51Z",
    "title_canon_sha256": "3b66c3725b6d6259a4422d506b7fe9c6d77f7aa9e3da23d819ca47fb63d11726"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5277",
    "kind": "arxiv",
    "version": 2
  }
}