Pith Number

pith:PQOK2AH2

pith:2018:PQOK2AH25KG5TLO25ZOQ5U7W37

not attested not anchored not stored refs pending

The $q$-Onsager Algebra and the Universal Askey-Wilson Algebra

Paul Terwilliger

arxiv:1801.06083 v2 · 2018-01-18 · 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{PQOK2AH25KG5TLO25ZOQ5U7W37}

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	2026-05-18T00:16:44.338637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c1cad00faea8dd9addaee5d0ed3f6dfd41f9d7064dabb9a8be7e39f2ecdda82

Aliases

arxiv: 1801.06083 · arxiv_version: 1801.06083v2 · doi: 10.48550/arxiv.1801.06083 · pith_short_12: PQOK2AH25KG5 · pith_short_16: PQOK2AH25KG5TLO2 · pith_short_8: PQOK2AH2

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/PQOK2AH25KG5TLO25ZOQ5U7W37 \
  | 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: 7c1cad00faea8dd9addaee5d0ed3f6dfd41f9d7064dabb9a8be7e39f2ecdda82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ce1ffc3b61d75e30768ff4e3dd3da0678b0c38124aa186c6f02fde6426b8e99",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2018-01-18T15:06:06Z",
    "title_canon_sha256": "1d7f7854589bbb63ff68a66fd261b8e4a4dc13794b3db24b6649f7e105cd891a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.06083",
    "kind": "arxiv",
    "version": 2
  }
}