Pith Number

pith:PNEXSVHI

pith:2005:PNEXSVHIBGLMZ6JB5N65HCVJ7F

not attested not anchored not stored refs pending

Normalized Leonard pairs and Askey-Wilson relations

Raimundas Vidunas

arxiv:math/0505041 v2 · 2005-05-03 · math.RA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PNEXSVHIBGLMZ6JB5N65HCVJ7F}

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	2026-05-18T03:11:24.469869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b497954e80996ccf921eb7dd38aa9f96d439f50fd4ee46e4da3d42ed0d8bc6b

Aliases

arxiv: math/0505041 · arxiv_version: math/0505041v2 · doi: 10.48550/arxiv.math/0505041 · pith_short_12: PNEXSVHIBGLM · pith_short_16: PNEXSVHIBGLMZ6JB · pith_short_8: PNEXSVHI

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/PNEXSVHIBGLMZ6JB5N65HCVJ7F \
  | 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: 7b497954e80996ccf921eb7dd38aa9f96d439f50fd4ee46e4da3d42ed0d8bc6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90abcdb98b198942e2be8aaaa8d9cd7ad4ff3e42ff8d88dc49436a3e5b874357",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2005-05-03T03:24:40Z",
    "title_canon_sha256": "dc63d1df3b822712f4b275d497e4703bf1a611acdc1184bdfb570193f95eae5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505041",
    "kind": "arxiv",
    "version": 2
  }
}