Pith Number

pith:RKTOUNQT

pith:2005:RKTOUNQTBHMJWQY46ZFGF4KLHI

not attested not anchored not stored refs pending

Classification of the factorial functions of Eulerian binomial and Sheffer posets

Margaret A. Readdy, Richard Ehrenborg

arxiv:math/0503303 v2 · 2005-03-15 · 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{RKTOUNQTBHMJWQY46ZFGF4KLHI}

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	2026-05-18T00:43:31.488439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8aa6ea361309d89b431cf64a62f14b3a1c6c3a977f77301f9a80ce66ee502dba

Aliases

arxiv: math/0503303 · arxiv_version: math/0503303v2 · doi: 10.48550/arxiv.math/0503303 · pith_short_12: RKTOUNQTBHMJ · pith_short_16: RKTOUNQTBHMJWQY4 · pith_short_8: RKTOUNQT

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/RKTOUNQTBHMJWQY46ZFGF4KLHI \
  | 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: 8aa6ea361309d89b431cf64a62f14b3a1c6c3a977f77301f9a80ce66ee502dba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96bf510296884f21cb8000017df9203e725c8c090a094568158aa230afec952a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-03-15T19:17:59Z",
    "title_canon_sha256": "43495d41fcbbefd8251091d4e5d1532b369936a5ed2ff8c575a116738eb42ca6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503303",
    "kind": "arxiv",
    "version": 2
  }
}