Pith Number

pith:SD5JHIDH

pith:2014:SD5JHIDHEWR5K2RYHTYXHNAD3V

not attested not anchored not stored refs pending

Automatic Proofs of Asymptotic ABNORMALITY (and much more!) of Natural Statistics Defined on Catalan-Counted Combinatorial Families

Doron Zeilberger, Shalosh B. Ekhad

arxiv:1403.5664 v1 · 2014-03-22 · 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{SD5JHIDHEWR5K2RYHTYXHNAD3V}

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	2026-05-18T02:55:49.198511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90fa93a06725a3d56a383cf173b403dd5f4706002151429710ec3151cd55823a

Aliases

arxiv: 1403.5664 · arxiv_version: 1403.5664v1 · doi: 10.48550/arxiv.1403.5664 · pith_short_12: SD5JHIDHEWR5 · pith_short_16: SD5JHIDHEWR5K2RY · pith_short_8: SD5JHIDH

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/SD5JHIDHEWR5K2RYHTYXHNAD3V \
  | 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: 90fa93a06725a3d56a383cf173b403dd5f4706002151429710ec3151cd55823a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77e1f306e234ab8533a9a2aa88d6ac71522387ab4651fcb91d87b4afd4523bae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-03-22T14:01:07Z",
    "title_canon_sha256": "111108f1203f5b8cbd3a0bf58bcb4392c24e04d7822a7461e5b692cf4a4ee1f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.5664",
    "kind": "arxiv",
    "version": 1
  }
}