Pith Number

pith:MBY5MQYF

pith:2010:MBY5MQYFF77DXEMKKWAY5WS4Z7

not attested not anchored not stored refs pending

Simple groups admit Beauville structures

Gunter Malle, Robert Guralnick

arxiv:1009.6183 v2 · 2010-09-30 · math.GR · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MBY5MQYFF77DXEMKKWAY5WS4Z7}

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	2026-05-18T02:58:01.713203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6071d643052ffe3b918a55818eda5ccfe354c2b9068e780690ed5ad9e03a3733

Aliases

arxiv: 1009.6183 · arxiv_version: 1009.6183v2 · doi: 10.48550/arxiv.1009.6183 · pith_short_12: MBY5MQYFF77D · pith_short_16: MBY5MQYFF77DXEMK · pith_short_8: MBY5MQYF

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/MBY5MQYFF77DXEMKKWAY5WS4Z7 \
  | 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: 6071d643052ffe3b918a55818eda5ccfe354c2b9068e780690ed5ad9e03a3733

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80ef6c14c29a9b8805e76708f29b204993216908d25b6ffda9caddc09b8cbf94",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-09-30T16:15:30Z",
    "title_canon_sha256": "1eda4aec0bbf6d299bc230cfe7481ffe30b8ed8c5b64fb23c1e84f5babb80de0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.6183",
    "kind": "arxiv",
    "version": 2
  }
}