Pith Number

pith:H4ZMOBPN

pith:2017:H4ZMOBPNFSF6AFZQ4ZHSHXONW2

not attested not anchored not stored refs pending

On a minimal counterexample to Brauer's $k(B)$-conjecture

Gunter Malle

arxiv:1709.05068 v3 · 2017-09-15 · 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{H4ZMOBPNFSF6AFZQ4ZHSHXONW2}

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	2026-05-18T00:19:41.837623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f32c705ed2c8be01730e64f23ddcdb6be9a38910d7bba62ccde0419594e2587

Aliases

arxiv: 1709.05068 · arxiv_version: 1709.05068v3 · doi: 10.48550/arxiv.1709.05068 · pith_short_12: H4ZMOBPNFSF6 · pith_short_16: H4ZMOBPNFSF6AFZQ · pith_short_8: H4ZMOBPN

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/H4ZMOBPNFSF6AFZQ4ZHSHXONW2 \
  | 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: 3f32c705ed2c8be01730e64f23ddcdb6be9a38910d7bba62ccde0419594e2587

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f57e5acfba3c5919984438d6bc79fba4f6694edf8ccc9f615319b1418707dad",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-09-15T06:23:27Z",
    "title_canon_sha256": "0d6c846d62dab92f0b455bdc20988a8d750586c239502966c04cdb3bd3c298e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.05068",
    "kind": "arxiv",
    "version": 3
  }
}