Pith Number

pith:HQLNZFWK

pith:2005:HQLNZFWKH55D5C3N5D23Z6RF7K

not attested not anchored not stored refs pending

Drinfel'd Doubles and Lusztig's Symmetries of Two-Parameter Quantum Groups

Naihong Hu, Nantel Bergeron, Yun Gao

arxiv:math/0505614 v1 · 2005-05-27 · math.RT · 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{HQLNZFWKH55D5C3N5D23Z6RF7K}

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	2026-05-18T01:00:03.419179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c16dc96ca3f7a3e8b6de8f5bcfa25fa8d07daf52a20a37f695ba12750c25447

Aliases

arxiv: math/0505614 · arxiv_version: math/0505614v1 · doi: 10.48550/arxiv.math/0505614 · pith_short_12: HQLNZFWKH55D · pith_short_16: HQLNZFWKH55D5C3N · pith_short_8: HQLNZFWK

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/HQLNZFWKH55D5C3N5D23Z6RF7K \
  | 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: 3c16dc96ca3f7a3e8b6de8f5bcfa25fa8d07daf52a20a37f695ba12750c25447

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4b200085ac0856a873c415a136ea2c2a1effb372ae87fd299a6304fd151ec46",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2005-05-27T15:31:27Z",
    "title_canon_sha256": "0640aa1a904d6739875624669cf5ce3bf4b6206b3dc95b4c22411464ea5ff6c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505614",
    "kind": "arxiv",
    "version": 1
  }
}