Pith Number

pith:NT5BW3FM

pith:2014:NT5BW3FM6ZS3SXNCCYBTZLVUXH

not attested not anchored not stored refs pending

A Quick Empirical Reproof of the Asymptotic Normality of the Hirsch Citation Index (First proved by Canfield, Corteel, and Savage)

Doron Zeilberger, Shalosh B. Ekhad

arxiv:1411.0002 v1 · 2014-10-31 · math.HO · 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{NT5BW3FM6ZS3SXNCCYBTZLVUXH}

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	2026-05-18T02:38:52.722752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cfa1b6cacf665b95da216033caeb4b9ffbf2eaa71ff6d43161adf88b8726523

Aliases

arxiv: 1411.0002 · arxiv_version: 1411.0002v1 · doi: 10.48550/arxiv.1411.0002 · pith_short_12: NT5BW3FM6ZS3 · pith_short_16: NT5BW3FM6ZS3SXNC · pith_short_8: NT5BW3FM

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/NT5BW3FM6ZS3SXNCCYBTZLVUXH \
  | 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: 6cfa1b6cacf665b95da216033caeb4b9ffbf2eaa71ff6d43161adf88b8726523

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45cb1018a7f4eed67fdd2febbfe209040949977a9b1859ddf00f8c0fcb866484",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2014-10-31T16:02:09Z",
    "title_canon_sha256": "a75c6b6667b5c545f1386515f19f321e368bee8f259c932cd37a4997762cb2dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0002",
    "kind": "arxiv",
    "version": 1
  }
}