Pith Number

pith:ELFGFT53

pith:2003:ELFGFT53PWS35UE47DGUTX32C4

not attested not anchored not stored refs pending

Leonard pairs and the q-Racah polynomials

Paul Terwilliger

arxiv:math/0306301 v2 · 2003-06-19 · math.QA · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ELFGFT53PWS35UE47DGUTX32C4}

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	2026-07-04T15:13:07.833703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22ca62cfbb7da5bed09cf8cd49df7a173c1a6755dbc397eed6aea5bac1670f59

Aliases

arxiv: math/0306301 · arxiv_version: math/0306301v2 · doi: 10.48550/arxiv.math/0306301 · pith_short_12: ELFGFT53PWS3 · pith_short_16: ELFGFT53PWS35UE4 · pith_short_8: ELFGFT53

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/ELFGFT53PWS35UE47DGUTX32C4 \
  | 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: 22ca62cfbb7da5bed09cf8cd49df7a173c1a6755dbc397eed6aea5bac1670f59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8c6835ad70f2f3397b34a78348395bd7e8fe6b9b4e3c3cc14c188688e49ce5b",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2003-06-19T22:26:08Z",
    "title_canon_sha256": "e88b8025569ef2ac21c8eccd8697ab0aae1be824b9f91c3205ea9aae88818a96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0306301",
    "kind": "arxiv",
    "version": 2
  }
}