Pith Number

pith:3DFS7GKO

pith:2010:3DFS7GKOIAIXMWQAJINPC4RBAX

not attested not anchored not stored refs pending

Formulae for Askey-Wilson moments and enumeration of staircase tableaux

Dennis Stanton, Lauren Williams, Richard Stanley, Sylvie Corteel

arxiv:1007.5174 v2 · 2010-07-29 · 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{3DFS7GKOIAIXMWQAJINPC4RBAX}

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	2026-05-18T04:42:14.443653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8cb2f994e4011765a004a1af1722105cc54a1ddff8524069108f648371b4f5c

Aliases

arxiv: 1007.5174 · arxiv_version: 1007.5174v2 · doi: 10.48550/arxiv.1007.5174 · pith_short_12: 3DFS7GKOIAIX · pith_short_16: 3DFS7GKOIAIXMWQA · pith_short_8: 3DFS7GKO

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/3DFS7GKOIAIXMWQAJINPC4RBAX \
  | 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: d8cb2f994e4011765a004a1af1722105cc54a1ddff8524069108f648371b4f5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbdc799b5215485a95514cbd329fa47f52c9e3dfb8387451466786f05c2f4604",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-07-29T10:12:36Z",
    "title_canon_sha256": "f523519e08cb68ec43b4f9db2f39a1099ebe119679ee3adafca649f7c479d013"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.5174",
    "kind": "arxiv",
    "version": 2
  }
}