Pith Number

pith:G6WA3BUD

pith:2026:G6WA3BUDS23AP435YXCE44CUPO

not attested not anchored not stored refs pending

Elementary asymptotics for the Stirling numbers of the second kind: The central range

Chong-Yi Li, Hsien-Kuei Hwang, Vytas Zacharovas

arxiv:2605.29633 v1 · 2026-05-28 · 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{G6WA3BUDS23AP435YXCE44CUPO}

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	2026-05-29T01:05:52.032397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37ac0d868396b607f37dc5c44e70547b86fac4d661614062fc626917da6476c3

Aliases

arxiv: 2605.29633 · arxiv_version: 2605.29633v1 · doi: 10.48550/arxiv.2605.29633 · pith_short_12: G6WA3BUDS23A · pith_short_16: G6WA3BUDS23AP435 · pith_short_8: G6WA3BUD

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/G6WA3BUDS23AP435YXCE44CUPO \
  | 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: 37ac0d868396b607f37dc5c44e70547b86fac4d661614062fc626917da6476c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b46565045c4919004d63380bcdcf68f939a1ac392220207269211757d915aa55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-28T09:05:18Z",
    "title_canon_sha256": "30e374116dab7ff4b07f0687291d17555253b47f478e932bb792869682a41c53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.29633",
    "kind": "arxiv",
    "version": 1
  }
}