Pith Number

pith:Z3IB5WCR

pith:2009:Z3IB5WCRJRAVQDJMQE7JZQ72MY

not attested not anchored not stored refs pending

Two-parameter quantum vertex representations via finite groups and the McKay correspondence

Honglian Zhang, Naihuan Jing

arxiv:0909.1730 v1 · 2009-09-09 · math.QA · hep-th · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z3IB5WCRJRAVQDJMQE7JZQ72MY}

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	2026-05-18T04:13:45.960422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ced01ed8514c41580d2c813e9cc3fa66275f07fcc5eadd577a831ae973784a5a

Aliases

arxiv: 0909.1730 · arxiv_version: 0909.1730v1 · doi: 10.48550/arxiv.0909.1730 · pith_short_12: Z3IB5WCRJRAV · pith_short_16: Z3IB5WCRJRAVQDJM · pith_short_8: Z3IB5WCR

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/Z3IB5WCRJRAVQDJMQE7JZQ72MY \
  | 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: ced01ed8514c41580d2c813e9cc3fa66275f07fcc5eadd577a831ae973784a5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42d237ac90d73dafc4b7948e2ed106b285a1920f9162f6962cdc9f31f2f96e0b",
    "cross_cats_sorted": [
      "hep-th",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-09-09T15:50:01Z",
    "title_canon_sha256": "115469c8496a0be0fd08db18e1784d6d70bcbf744e13faf5a1654de243bf3f7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.1730",
    "kind": "arxiv",
    "version": 1
  }
}