Pith Number

pith:UI7WFMNM

pith:2014:UI7WFMNMWDFSUWL6WXSXGFUNVX

not attested not anchored not stored refs pending

The Kearns--Saul inequality for Bernoulli and Poisson-binomial distributions

Eckhard Schlemm

arxiv:1405.4496 v1 · 2014-05-18 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UI7WFMNMWDFSUWL6WXSXGFUNVX}

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	2026-05-18T02:07:27.190421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a23f62b1acb0cb2a597eb5e573168dadd9f03641c50da296eb155a883979a10c

Aliases

arxiv: 1405.4496 · arxiv_version: 1405.4496v1 · doi: 10.48550/arxiv.1405.4496 · pith_short_12: UI7WFMNMWDFS · pith_short_16: UI7WFMNMWDFSUWL6 · pith_short_8: UI7WFMNM

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/UI7WFMNMWDFSUWL6WXSXGFUNVX \
  | 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: a23f62b1acb0cb2a597eb5e573168dadd9f03641c50da296eb155a883979a10c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e6afc6d998bf95af8fdd23075b38d0ab9597e6a5de1560e250b9065ee1a168a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-05-18T12:14:53Z",
    "title_canon_sha256": "7df98d184c0a1dccf1af829831bf51782adfa137306a3ce64d2737a1dc5df5c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.4496",
    "kind": "arxiv",
    "version": 1
  }
}