Pith Number

pith:ZYQ6CEER

pith:2023:ZYQ6CEERKDXHI26TNUD662DZ76

not attested not anchored not stored refs pending

Multivariate Hahn polynomials and difference equations

Ryu Sasaki

arxiv:2305.09170 v3 · 2023-05-16 · 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{ZYQ6CEERKDXHI26TNUD662DZ76}

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.

Cited by

1 paper in Pith

A discrete Smorodinsky--Winternitz II superintegrable system

Receipt and verification

First computed	2026-07-05T10:11:12.777352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce21e1109150ee746bd36d07ef6879ff9a547232ef90c488a1127958f7924904

Aliases

arxiv: 2305.09170 · arxiv_version: 2305.09170v3 · doi: 10.48550/arxiv.2305.09170 · pith_short_12: ZYQ6CEERKDXH · pith_short_16: ZYQ6CEERKDXHI26T · pith_short_8: ZYQ6CEER

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/ZYQ6CEERKDXHI26TNUD662DZ76 \
  | 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: ce21e1109150ee746bd36d07ef6879ff9a547232ef90c488a1127958f7924904

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b0487cb659f0704043d60dc10ba2dcfe2853519329053d3d571db406e8e990d",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2023-05-16T05:05:03Z",
    "title_canon_sha256": "fb18d84ba24ffd0afb84b01b7d46461fa8003f4b6409f1823a03bbeb4b58a062"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.09170",
    "kind": "arxiv",
    "version": 3
  }
}