Pith Number

pith:4KPE24YZ

pith:2009:4KPE24YZSEFUCK4VBX6MLIQBLR

not attested not anchored not stored refs pending

Exponential Polynomials, Stirling Numbers,and Evaluation of Some Gamma Integrals

Khristo N. Boyadzhiev

arxiv:0909.0979 v4 · 2009-09-04 · math.CA · 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{4KPE24YZSEFUCK4VBX6MLIQBLR}

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	2026-05-18T01:02:59.730451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e29e4d7319910b412b950dfcc5a2015c7264eee49bf0536d3ad2366ab001dd96

Aliases

arxiv: 0909.0979 · arxiv_version: 0909.0979v4 · doi: 10.48550/arxiv.0909.0979 · pith_short_12: 4KPE24YZSEFU · pith_short_16: 4KPE24YZSEFUCK4V · pith_short_8: 4KPE24YZ

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/4KPE24YZSEFUCK4VBX6MLIQBLR \
  | 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: e29e4d7319910b412b950dfcc5a2015c7264eee49bf0536d3ad2366ab001dd96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "825f36cea38dc25a8a79b1cb450cf1207c2e2aae1aa027ac8a776e31d0485203",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-09-04T23:20:15Z",
    "title_canon_sha256": "80378f016cb4ada7e5b4de633733335316ba70b54f2cd69df25d5b054689f54f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0979",
    "kind": "arxiv",
    "version": 4
  }
}