Pith Number

pith:3B4TEZMG

pith:2015:3B4TEZMGTYTHGX7EMRHVAWNMOD

not attested not anchored not stored refs pending

Exponential bounds for the hypergeometric distribution

Evan Greene, Jon A. Wellner

arxiv:1507.08298 v3 · 2015-07-29 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3B4TEZMGTYTHGX7EMRHVAWNMOD}

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	2026-05-18T01:19:34.215037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8793265869e26735fe4644f5059ac70cf0e74e618a9e95c74206c6205113c5f

Aliases

arxiv: 1507.08298 · arxiv_version: 1507.08298v3 · doi: 10.48550/arxiv.1507.08298 · pith_short_12: 3B4TEZMGTYTH · pith_short_16: 3B4TEZMGTYTHGX7E · pith_short_8: 3B4TEZMG

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/3B4TEZMGTYTHGX7EMRHVAWNMOD \
  | 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: d8793265869e26735fe4644f5059ac70cf0e74e618a9e95c74206c6205113c5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6eceacfac3a6c1b8cb134efa3f139b27ae9ceb542111551534f031ba4efd096",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-07-29T20:20:38Z",
    "title_canon_sha256": "3e5af6b533c3d21ad19f99c6649aaa32c14ad6bc7d6cf2d950538e2555df3154"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08298",
    "kind": "arxiv",
    "version": 3
  }
}