Pith Number

pith:YUSCUTTN

pith:2009:YUSCUTTNWPEXYZES56E66VQUDF

not attested not anchored not stored refs pending

A combinatorial approach to the power of 2 in the number of involutions

Dongsu Kim, Jang Soo Kim

arxiv:0902.4311 v2 · 2009-02-25 · 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{YUSCUTTNWPEXYZES56E66VQUDF}

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	2026-05-18T04:37:22.333096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5242a4e6db3c97c6492ef89ef5614197eda5e9455a03e2414685b6de0b56bce

Aliases

arxiv: 0902.4311 · arxiv_version: 0902.4311v2 · doi: 10.48550/arxiv.0902.4311 · pith_short_12: YUSCUTTNWPEX · pith_short_16: YUSCUTTNWPEXYZES · pith_short_8: YUSCUTTN

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/YUSCUTTNWPEXYZES56E66VQUDF \
  | 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: c5242a4e6db3c97c6492ef89ef5614197eda5e9455a03e2414685b6de0b56bce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5f18e729225e891e3e21435c1d100411216c15224b5cc417395e40e11ae9878",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-02-25T08:16:49Z",
    "title_canon_sha256": "c7061be6ae218269eba37fa47b12add170df564570435534f7add1b924d5f8bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.4311",
    "kind": "arxiv",
    "version": 2
  }
}