Pith Number

pith:V7Q5TRJV

pith:2011:V7Q5TRJVS4W6MZ7HOWBSTMREMJ

not attested not anchored not stored refs pending

Finite quantum groups and quantum permutation groups

Julien Bichon, Sonia Natale, Teodor Banica

arxiv:1104.1400 v1 · 2011-04-07 · 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{V7Q5TRJVS4W6MZ7HOWBSTMREMJ}

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	2026-05-18T04:01:13.205528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afe1d9c535972de667e7758329b22462724f79d4ff590454b8829a5e587dd131

Aliases

arxiv: 1104.1400 · arxiv_version: 1104.1400v1 · doi: 10.48550/arxiv.1104.1400 · pith_short_12: V7Q5TRJVS4W6 · pith_short_16: V7Q5TRJVS4W6MZ7H · pith_short_8: V7Q5TRJV

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/V7Q5TRJVS4W6MZ7HOWBSTMREMJ \
  | 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: afe1d9c535972de667e7758329b22462724f79d4ff590454b8829a5e587dd131

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1665555cf3a93cf873d88b1dd1153f9e9f1ada719bf85709c7e41be73349aabf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-04-07T18:47:55Z",
    "title_canon_sha256": "2b966e7401574e083910e39a8a458c17b2cafe670543d10eb620751ca3dad463"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1400",
    "kind": "arxiv",
    "version": 1
  }
}