Pith Number

pith:EJAO7PJL

pith:2016:EJAO7PJLKT5AJ46EBSPTUYMNDU

not attested not anchored not stored refs pending

Mode and Edgeworth expansion for the Ewens distribution and the Stirling numbers

Alexander Marynych, Henning Sulzbach, Zakhar Kabluchko

arxiv:1609.03798 v2 · 2016-09-13 · math.PR · 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{EJAO7PJLKT5AJ46EBSPTUYMNDU}

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	2026-05-18T01:04:32.383268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2240efbd2b54fa04f3c40c9f3a618d1d134ec10a1b6fcb5fe396817fb3a54170

Aliases

arxiv: 1609.03798 · arxiv_version: 1609.03798v2 · doi: 10.48550/arxiv.1609.03798 · pith_short_12: EJAO7PJLKT5A · pith_short_16: EJAO7PJLKT5AJ46E · pith_short_8: EJAO7PJL

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/EJAO7PJLKT5AJ46EBSPTUYMNDU \
  | 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: 2240efbd2b54fa04f3c40c9f3a618d1d134ec10a1b6fcb5fe396817fb3a54170

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b931042d29ab8e2a14af078336e6cb19544901fbc50ccc2e1a8160b683a9d69",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-09-13T12:35:29Z",
    "title_canon_sha256": "6da5b1bd0963d0b7f3f3918d55ba421ea6cb54b6e5b2fef6043956fb0aaeb0b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03798",
    "kind": "arxiv",
    "version": 2
  }
}