Pith Number

pith:Y3ZOLHG2

pith:2010:Y3ZOLHG2YNUIUAEITKHNBMSZFE

not attested not anchored not stored refs pending

q-Bernstein polynomials, q-Stirling numbers and q-Bernoulli polynomials

T. Kim

arxiv:1008.4547 v1 · 2010-08-26 · 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{Y3ZOLHG2YNUIUAEITKHNBMSZFE}

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	2026-05-18T04:41:45.138686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6f2e59cdac3688a00889a8ed0b259291090b4be5406f502bdedc0e82cb76e90

Aliases

arxiv: 1008.4547 · arxiv_version: 1008.4547v1 · doi: 10.48550/arxiv.1008.4547 · pith_short_12: Y3ZOLHG2YNUI · pith_short_16: Y3ZOLHG2YNUIUAEI · pith_short_8: Y3ZOLHG2

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/Y3ZOLHG2YNUIUAEITKHNBMSZFE \
  | 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: c6f2e59cdac3688a00889a8ed0b259291090b4be5406f502bdedc0e82cb76e90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79c017668d0b2fca3f8f8025ca2f14bbd5b425e39135b482d6cca1449c18d62a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-08-26T17:03:33Z",
    "title_canon_sha256": "bd13e2b20fbf0171f8930d0e88f541311c6bd86baf53f35a68cfbca95c53a270"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4547",
    "kind": "arxiv",
    "version": 1
  }
}