Pith Number

pith:ULUAG7FQ

pith:2008:ULUAG7FQSTMHBAI24YJ5J3WDDV

not attested not anchored not stored refs pending

Quantum groups and quantization of Weyl group symmetries of Painlev\'e systems

Gen Kuroki

arxiv:0808.2604 v4 · 2008-08-19 · math.QA · 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{ULUAG7FQSTMHBAI24YJ5J3WDDV}

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	2026-05-18T04:07:06.935447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2e8037cb094d870811ae613d4eec31d531757c050eebd7abfc74adcbd501d6a

Aliases

arxiv: 0808.2604 · arxiv_version: 0808.2604v4 · doi: 10.48550/arxiv.0808.2604 · pith_short_12: ULUAG7FQSTMH · pith_short_16: ULUAG7FQSTMHBAI2 · pith_short_8: ULUAG7FQ

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/ULUAG7FQSTMHBAI24YJ5J3WDDV \
  | 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: a2e8037cb094d870811ae613d4eec31d531757c050eebd7abfc74adcbd501d6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9114297b4aea734da9389c6c88c191c06c5720938bfbe1a1472cd48a97ac3ecb",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2008-08-19T14:53:54Z",
    "title_canon_sha256": "7321f84b9ec4d1a263888bd8494884d3dba7cc4c0cda8bdeee5299db089a38d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.2604",
    "kind": "arxiv",
    "version": 4
  }
}