Pith Number

pith:XGE4IOK5

pith:2010:XGE4IOK5ADCDGEGFNQ7BKALBHM

not attested not anchored not stored refs pending

On coquasitriangular pointed Majid algebras

Gongxiang Liu, Hua-Lin Huang

arxiv:1002.0518 v1 · 2010-02-02 · 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{XGE4IOK5ADCDGEGFNQ7BKALBHM}

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	2026-05-18T03:37:29.175223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b989c4395d00c43310c56c3e1501613b24890aba705e3ed5cf91a342516fe316

Aliases

arxiv: 1002.0518 · arxiv_version: 1002.0518v1 · doi: 10.48550/arxiv.1002.0518 · pith_short_12: XGE4IOK5ADCD · pith_short_16: XGE4IOK5ADCDGEGF · pith_short_8: XGE4IOK5

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/XGE4IOK5ADCDGEGFNQ7BKALBHM \
  | 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: b989c4395d00c43310c56c3e1501613b24890aba705e3ed5cf91a342516fe316

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1367575a89533f5c662bb7b3ec126ecdda4badedb82d45289e8ed4d3c9f03b64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-02-02T15:59:58Z",
    "title_canon_sha256": "c57b835c7013e8f56d9cf8210116347bb62e7b39247cd615f9b4320b985bdbfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0518",
    "kind": "arxiv",
    "version": 1
  }
}