Pith Number

pith:JJDGSJSG

pith:2015:JJDGSJSGUVLVOTQ2AWUKLIONZF

not attested not anchored not stored refs pending

Center of the universal Askey--Wilson algebra at roots of unity

Hau-wen Huang

arxiv:1509.08719 v4 · 2015-09-29 · 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{JJDGSJSGUVLVOTQ2AWUKLIONZF}

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	2026-05-18T00:29:21.376212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a46692646a557574e1a05a8a5a1cdc961142692fce78fa5e9bbd7321027f97b

Aliases

arxiv: 1509.08719 · arxiv_version: 1509.08719v4 · doi: 10.48550/arxiv.1509.08719 · pith_short_12: JJDGSJSGUVLV · pith_short_16: JJDGSJSGUVLVOTQ2 · pith_short_8: JJDGSJSG

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/JJDGSJSGUVLVOTQ2AWUKLIONZF \
  | 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: 4a46692646a557574e1a05a8a5a1cdc961142692fce78fa5e9bbd7321027f97b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2df2d6ec6b07faa89f463570bdef84204c8a4bbe848093735ebdc5d6063b0521",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-09-29T12:42:34Z",
    "title_canon_sha256": "59ab64dce33633af82a44c348ddfec2a4adbaf35e275ff0e42b26b19e4c87640"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08719",
    "kind": "arxiv",
    "version": 4
  }
}