Pith Number

pith:5SZKLN7D

pith:2020:5SZKLN7D3MHZXS5CTMSXF66TBN

not attested not anchored not stored refs pending

A new extension of the Sun-Zagier result involving Bell numbers and derangement numbers

Zhi-Wei Sun

arxiv:2006.16089 v2 · 2020-06-24 · 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{5SZKLN7D3MHZXS5CTMSXF66TBN}

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	2026-07-05T01:45:19.988502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecb2a5b7e3db0f9bcba29b2572fbd30b7dbf0ab8cf2f3d2841cf4012d36ece22

Aliases

arxiv: 2006.16089 · arxiv_version: 2006.16089v2 · doi: 10.48550/arxiv.2006.16089 · pith_short_12: 5SZKLN7D3MHZ · pith_short_16: 5SZKLN7D3MHZXS5C · pith_short_8: 5SZKLN7D

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/5SZKLN7D3MHZXS5CTMSXF66TBN \
  | 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: ecb2a5b7e3db0f9bcba29b2572fbd30b7dbf0ab8cf2f3d2841cf4012d36ece22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a78a87ce17a1373fcb075da80591886651998a8c2a577fde6fcb207b92f4e36d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-06-24T16:51:35Z",
    "title_canon_sha256": "31dbf94d1e5ea5149fa3f55cb48a402ff8b74ba68428b7cf818656824778b2cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.16089",
    "kind": "arxiv",
    "version": 2
  }
}