Pith Number

pith:AQ6HVKOH

pith:2015:AQ6HVKOHSJLICWCNWZVHZKU4XW

not attested not anchored not stored refs pending

On the number of simple modules in a block of a finite group

Geoffrey R. Robinson, Gunter Malle

arxiv:1512.05991 v2 · 2015-12-18 · math.RT · 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{AQ6HVKOHSJLICWCNWZVHZKU4XW}

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	2026-05-18T01:00:03.233604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

043c7aa9c7925681584db66a7caa9cbdb88df2157916f3f308e4db36b759ff09

Aliases

arxiv: 1512.05991 · arxiv_version: 1512.05991v2 · doi: 10.48550/arxiv.1512.05991 · pith_short_12: AQ6HVKOHSJLI · pith_short_16: AQ6HVKOHSJLICWCN · pith_short_8: AQ6HVKOH

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/AQ6HVKOHSJLICWCNWZVHZKU4XW \
  | 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: 043c7aa9c7925681584db66a7caa9cbdb88df2157916f3f308e4db36b759ff09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acf8446f4a496250743e22b7a5c67f089a606acfdda8ebbec4086d35593354c1",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-12-18T15:28:50Z",
    "title_canon_sha256": "a7fce7f7f45ddbf75cbe932f35bd0aa00bbcde66f2ad26b88b63b353a70d7ea7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05991",
    "kind": "arxiv",
    "version": 2
  }
}