Pith Number

pith:LPQDXQWO

pith:2015:LPQDXQWOZN27ZIOCW3SUIPJGVV

not attested not anchored not stored refs pending

Finite quasi-quantum groups of rank two

Gongxiang Liu, Hua-Lin Huang, Yuping Yang, Yu Ye

arxiv:1508.04248 v1 · 2015-08-18 · 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{LPQDXQWOZN27ZIOCW3SUIPJGVV}

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	2026-05-18T01:35:05.826823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5be03bc2cecb75fca1c2b6e5443d26ad565d3adb3ea61895a96cb001d2ba2e91

Aliases

arxiv: 1508.04248 · arxiv_version: 1508.04248v1 · doi: 10.48550/arxiv.1508.04248 · pith_short_12: LPQDXQWOZN27 · pith_short_16: LPQDXQWOZN27ZIOC · pith_short_8: LPQDXQWO

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/LPQDXQWOZN27ZIOCW3SUIPJGVV \
  | 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: 5be03bc2cecb75fca1c2b6e5443d26ad565d3adb3ea61895a96cb001d2ba2e91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9258886978eedb1d13b9df2550f687195fdbaf1d343ee0cd337c61d4a005d15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-08-18T08:55:58Z",
    "title_canon_sha256": "8a2cc9ff576a69324d46eae7a638a8b510ac50b4dc50d72c0c8cad9c00ffcbcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04248",
    "kind": "arxiv",
    "version": 1
  }
}