Pith Number

pith:MPO6EITD

pith:2010:MPO6EITDQV4KBC7UZOV7UOPQNG

not attested not anchored not stored refs pending

Congruences on the Bell polynomials and the derangement polynomials

Jujuan Zhuang, Xiaojuan Wu, Yidong Sun

arxiv:1009.2929 v1 · 2010-09-15 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MPO6EITDQV4KBC7UZOV7UOPQNG}

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	2026-05-18T04:40:55.213179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63dde222638578a08bf4cbabfa39f069bd035376a1c3389d88a879d444805883

Aliases

arxiv: 1009.2929 · arxiv_version: 1009.2929v1 · doi: 10.48550/arxiv.1009.2929 · pith_short_12: MPO6EITDQV4K · pith_short_16: MPO6EITDQV4KBC7U · pith_short_8: MPO6EITD

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/MPO6EITDQV4KBC7UZOV7UOPQNG \
  | 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: 63dde222638578a08bf4cbabfa39f069bd035376a1c3389d88a879d444805883

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73baf56d5ac32c1b56da5feb4514557eaed2a53b25fe1a7f0345c4668770df12",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-09-15T13:57:20Z",
    "title_canon_sha256": "aa0f50ef6362e2e16be348b4c024520e4355f23b87d7034c37193fad82ecd6c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2929",
    "kind": "arxiv",
    "version": 1
  }
}