Pith Number

pith:2WBZFBQL

pith:2009:2WBZFBQL22EBCXUF4GIOI4UJVT

not attested not anchored not stored refs pending

Zeros of Meixner and Krawtchouk polynomials

A Jooste, F Tookos, K Jordaan

arxiv:0901.0817 v3 · 2009-01-07 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2WBZFBQL22EBCXUF4GIOI4UJVT}

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	2026-05-18T04:20:39.037110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d58392860bd688115e85e190e47289acd0f4ee72ae9f298bfd6c8d341cd4fe8f

Aliases

arxiv: 0901.0817 · arxiv_version: 0901.0817v3 · doi: 10.48550/arxiv.0901.0817 · pith_short_12: 2WBZFBQL22EB · pith_short_16: 2WBZFBQL22EBCXUF · pith_short_8: 2WBZFBQL

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/2WBZFBQL22EBCXUF4GIOI4UJVT \
  | 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: d58392860bd688115e85e190e47289acd0f4ee72ae9f298bfd6c8d341cd4fe8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2735f41e765a4b8c1e976751440d04fdeb038c551537c5f196439aa009268f7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-01-07T13:07:12Z",
    "title_canon_sha256": "6104a28fa9f85e035cbb77c1c54105e6fe3cb570cf28b4c78d4e940c630a2c10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.0817",
    "kind": "arxiv",
    "version": 3
  }
}