Pith Number

pith:7654AKTQ

pith:2021:7654AKTQSLHWFVL2KNDH6PQKK4

not attested not anchored not stored refs pending

The $q$-Onsager algebra and its alternating central extension

Paul Terwilliger

arxiv:2106.14041 v1 · 2021-06-26 · 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{7654AKTQSLHWFVL2KNDH6PQKK4}

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

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

Receipt and verification

First computed	2026-07-05T03:54:57.820262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffbbc02a7092cf62d57a53467f3e0a5709535b8e39c247aea2f677e247cccc5e

Aliases

arxiv: 2106.14041 · arxiv_version: 2106.14041v1 · doi: 10.48550/arxiv.2106.14041 · pith_short_12: 7654AKTQSLHW · pith_short_16: 7654AKTQSLHWFVL2 · pith_short_8: 7654AKTQ

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/7654AKTQSLHWFVL2KNDH6PQKK4 \
  | 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: ffbbc02a7092cf62d57a53467f3e0a5709535b8e39c247aea2f677e247cccc5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8806cb8124d780d417c3ff062f760f97702f9f0f04c2a96c5a2c330561a2a574",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2021-06-26T15:06:08Z",
    "title_canon_sha256": "d828340b4ba22b8d11774c363a1143092d2027400183bc7a9c9a249b02006f79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.14041",
    "kind": "arxiv",
    "version": 1
  }
}