Pith Number

pith:KL6N7SHN

pith:2026:KL6N7SHNFWZI5N3MMYZDMWP2ZJ

not attested not anchored not stored refs pending

Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution

Neven Elezovi\'c

arxiv:2607.18494 v1 · 2026-07-20 · math.CA · 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{KL6N7SHNFWZI5N3MMYZDMWP2ZJ}

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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.

Cited by

1 paper in Pith

The mean absolute deviation of the classical discrete distributions: collapse identities, complete asymptotic expansions, and enveloping series

Receipt and verification

First computed	2026-07-22T00:22:51.392204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52fcdfc8ed2db28eb76c66323659faca61f558ea2dc9d36396beba2427aa3ab1

Aliases

arxiv: 2607.18494 · arxiv_version: 2607.18494v1 · doi: 10.48550/arxiv.2607.18494 · pith_short_12: KL6N7SHNFWZI · pith_short_16: KL6N7SHNFWZI5N3M · pith_short_8: KL6N7SHN

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/KL6N7SHNFWZI5N3MMYZDMWP2ZJ \
  | 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: 52fcdfc8ed2db28eb76c66323659faca61f558ea2dc9d36396beba2427aa3ab1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b199374fcf75b8829c77346d3d759034c8ccdc8782fd9e30b353f6b92b33cf6f",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-07-20T20:33:35Z",
    "title_canon_sha256": "548da7f1b7cb19044a267e48bb781405fdec7396f4f3c6e335f4ca148b9e0400"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18494",
    "kind": "arxiv",
    "version": 1
  }
}