Pith Number

pith:XNIZLBO7

pith:2011:XNIZLBO75WXUAAPBRCO6TDVSB2

not attested not anchored not stored refs pending

Ordered Bell numbers, Hermite polynomials, Skew Young Tableaux, and Borel orbits

Mahir Bilen Can, Michael Joyce

arxiv:1111.6785 v2 · 2011-11-29 · math.CO · math.AG · 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{XNIZLBO75WXUAAPBRCO6TDVSB2}

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	2026-05-18T03:54:05.932870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb519585dfedaf4001e1889de98eb20e9c8e3e5227c76b986c486271a5ed46ed

Aliases

arxiv: 1111.6785 · arxiv_version: 1111.6785v2 · doi: 10.48550/arxiv.1111.6785 · pith_short_12: XNIZLBO75WXU · pith_short_16: XNIZLBO75WXUAAPB · pith_short_8: XNIZLBO7

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/XNIZLBO75WXUAAPBRCO6TDVSB2 \
  | 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: bb519585dfedaf4001e1889de98eb20e9c8e3e5227c76b986c486271a5ed46ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbbfe20ef62239e57e89cb000a6488b7b96b484f3c7eeda820ea34e22b523ea9",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-29T12:15:23Z",
    "title_canon_sha256": "48deef970537bd106dfc8470f25a4c296f17ff28848d942beedfba51cf7b73ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6785",
    "kind": "arxiv",
    "version": 2
  }
}