Pith Number

pith:MYL4VJZU

pith:2010:MYL4VJZU2JUET446BS7WNSTBSU

not attested not anchored not stored refs pending

On types and classes of commuting matrices over finite fields

John R. Britnell, Mark Wildon

arxiv:1001.0811 v1 · 2010-01-06 · 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{MYL4VJZU2JUET446BS7WNSTBSU}

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	2026-05-18T02:58:02.502044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6617caa734d26849f39e0cbf66ca61951b4658a535eded29d55d5ce21be314e1

Aliases

arxiv: 1001.0811 · arxiv_version: 1001.0811v1 · doi: 10.48550/arxiv.1001.0811 · pith_short_12: MYL4VJZU2JUE · pith_short_16: MYL4VJZU2JUET446 · pith_short_8: MYL4VJZU

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/MYL4VJZU2JUET446BS7WNSTBSU \
  | 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: 6617caa734d26849f39e0cbf66ca61951b4658a535eded29d55d5ce21be314e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0da9555043cc827ea989a41fa3215ba3695b281da7c5a6fa8f1f14fddc5842cd",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-01-06T03:50:04Z",
    "title_canon_sha256": "8b9416906fb87e08ef345e272bbecf95e2e5b84c5d0318bc465bfbdb0bdda086"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0811",
    "kind": "arxiv",
    "version": 1
  }
}