Pith Number

pith:HBSY4UZR

pith:2021:HBSY4UZRH3UJB7HU32KDYOX7DB

not attested not anchored not stored refs pending

The alternating central extension of the $q$-Onsager algebra

Paul Terwilliger

arxiv:2103.03028 v1 · 2021-03-04 · math.QA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HBSY4UZRH3UJB7HU32KDYOX7DB}

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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

Universal TT- and TQ-relations via centrally extended q-Onsager algebra

Receipt and verification

First computed	2026-07-05T03:10:28.685100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38658e53313ee890fcf4de943c3aff186700b5badfed2c8841d48c1ee5ab1ed9

Aliases

arxiv: 2103.03028 · arxiv_version: 2103.03028v1 · doi: 10.48550/arxiv.2103.03028 · pith_short_12: HBSY4UZRH3UJ · pith_short_16: HBSY4UZRH3UJB7HU · pith_short_8: HBSY4UZR

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/HBSY4UZRH3UJB7HU32KDYOX7DB \
  | 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: 38658e53313ee890fcf4de943c3aff186700b5badfed2c8841d48c1ee5ab1ed9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d3eb03c07453a5604eeec7226de4bba243a5a570783e90e0897fdba555be7fe",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2021-03-04T13:40:53Z",
    "title_canon_sha256": "907243bf907ec259b5c086c31b18319b7e0a089231692b89466083d52e576384"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.03028",
    "kind": "arxiv",
    "version": 1
  }
}