Pith Number

pith:2FMYTWS6

pith:2014:2FMYTWS6HAQ4WLJEVFL4JZDICM

not attested not anchored not stored refs pending

Completely effective error bounds for Stirling Numbers of the first and second kind via Poisson Approximation

Richard Arratia, Stephen DeSalvo

arxiv:1404.3007 v4 · 2014-04-11 · 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{2FMYTWS6HAQ4WLJEVFL4JZDICM}

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	2026-05-18T01:04:54.268669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d15989da5e3821cb2d24a957c4e46813036a8744de8a293fdf6a2aa947a6684f

Aliases

arxiv: 1404.3007 · arxiv_version: 1404.3007v4 · doi: 10.48550/arxiv.1404.3007 · pith_short_12: 2FMYTWS6HAQ4 · pith_short_16: 2FMYTWS6HAQ4WLJE · pith_short_8: 2FMYTWS6

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/2FMYTWS6HAQ4WLJEVFL4JZDICM \
  | 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: d15989da5e3821cb2d24a957c4e46813036a8744de8a293fdf6a2aa947a6684f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c518eb025c29b36f3eb0967cd41dd70a2191ee6a19408617e9e45ab2256757f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-04-11T05:51:39Z",
    "title_canon_sha256": "07b2b27db3835254b8bc28083ca73c95a36b2bc15164ecc679e8a23a95a1f285"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.3007",
    "kind": "arxiv",
    "version": 4
  }
}