Pith Number

pith:DT42BKZ6

pith:2008:DT42BKZ6XSWMQYHFWJK4LG5ZSH

not attested not anchored not stored refs pending

Multi-parameter Quantum Groups and Quantum Shuffles, (I)

Marc Rosso, Naihong Hu, Yufeng Pei

arxiv:0811.0129 v3 · 2008-11-02 · 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{DT42BKZ6XSWMQYHFWJK4LG5ZSH}

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	2026-05-18T03:58:38.484757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cf9a0ab3ebcacc860e5b255c59bb991d36c9a5892601d4400c540b9a70b580b

Aliases

arxiv: 0811.0129 · arxiv_version: 0811.0129v3 · doi: 10.48550/arxiv.0811.0129 · pith_short_12: DT42BKZ6XSWM · pith_short_16: DT42BKZ6XSWMQYHF · pith_short_8: DT42BKZ6

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/DT42BKZ6XSWMQYHFWJK4LG5ZSH \
  | 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: 1cf9a0ab3ebcacc860e5b255c59bb991d36c9a5892601d4400c540b9a70b580b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69edd3c6740cc4c7dce1c93e984b3527759db401dd674d563101dc460c0a8ede",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2008-11-02T15:56:47Z",
    "title_canon_sha256": "dd513981ca5a8d5192e0ab3296ae5ed447849052221c56a8b7fb2d5e62770438"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.0129",
    "kind": "arxiv",
    "version": 3
  }
}