Pith Number

pith:ACZO7QES

pith:2005:ACZO7QESCPM2FGN4NON66446KO

not attested not anchored not stored refs pending

Representations of the quantum doubles of finite group algebras and solutions of the Yang--Baxter equation

J. Links, K.A. Dancer, P.S. Isaac

arxiv:math/0511072 v2 · 2005-11-03 · math.QA · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ACZO7QESCPM2FGN4NON66446KO}

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	2026-05-18T01:38:24.708788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00b2efc09213d9a299bc6b9bef739e53aba676c857f996457affbc5119d3cb6d

Aliases

arxiv: math/0511072 · arxiv_version: math/0511072v2 · doi: 10.48550/arxiv.math/0511072 · pith_short_12: ACZO7QESCPM2 · pith_short_16: ACZO7QESCPM2FGN4 · pith_short_8: ACZO7QES

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/ACZO7QESCPM2FGN4NON66446KO \
  | 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: 00b2efc09213d9a299bc6b9bef739e53aba676c857f996457affbc5119d3cb6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fed00338cccc0718a231c69cd9a3479f00fea39665f66a6ea9ac4d2f8d6ca27",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2005-11-03T06:31:46Z",
    "title_canon_sha256": "5756c8b221cc6155e6789351d6209ceba01e04b8ccaf2032b56aa192ce0e9a43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511072",
    "kind": "arxiv",
    "version": 2
  }
}