Pith Number

pith:4TFUM26U

pith:2010:4TFUM26UNQRKYYFOVLSQPCS7EY

not attested not anchored not stored refs pending

Products of conjugacy classes and fixed point spaces

Gunter Malle, Robert Guralnick

arxiv:1005.3756 v3 · 2010-05-20 · math.GR · 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{4TFUM26UNQRKYYFOVLSQPCS7EY}

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	2026-05-18T04:30:59.733163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4cb466bd46c22ac60aeaae5078a5f263ed2fb4674dc97c6150427b8d8e0f2e8

Aliases

arxiv: 1005.3756 · arxiv_version: 1005.3756v3 · doi: 10.48550/arxiv.1005.3756 · pith_short_12: 4TFUM26UNQRK · pith_short_16: 4TFUM26UNQRKYYFO · pith_short_8: 4TFUM26U

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/4TFUM26UNQRKYYFOVLSQPCS7EY \
  | 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: e4cb466bd46c22ac60aeaae5078a5f263ed2fb4674dc97c6150427b8d8e0f2e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87f8bbb631ae489894055ef09ad343aef504a03c39b65a9859fa601e6fe27478",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-05-20T16:38:38Z",
    "title_canon_sha256": "a1d1aa23bf0ee129a1ebc4591825305c71b8bde93037e00ede7e204194328e8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3756",
    "kind": "arxiv",
    "version": 3
  }
}