Pith Number

pith:5J5FDBR4

pith:2015:5J5FDBR4TJIJORG4UZHRBOJ6NA

not attested not anchored not stored refs pending

Brauer's height zero conjecture for quasi-simple goups

Gunter Malle, Radha Kessar

arxiv:1510.07907 v1 · 2015-10-27 · 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{5J5FDBR4TJIJORG4UZHRBOJ6NA}

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	2026-05-18T01:28:45.017133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea7a51863c9a509744dca64f10b93e68181a72184f274d042ec78e7df77c25ed

Aliases

arxiv: 1510.07907 · arxiv_version: 1510.07907v1 · doi: 10.48550/arxiv.1510.07907 · pith_short_12: 5J5FDBR4TJIJ · pith_short_16: 5J5FDBR4TJIJORG4 · pith_short_8: 5J5FDBR4

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/5J5FDBR4TJIJORG4UZHRBOJ6NA \
  | 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: ea7a51863c9a509744dca64f10b93e68181a72184f274d042ec78e7df77c25ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6adac2facf098385847dcc696fbd03bd292d366e2684c6a751c72a4101bc999",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-10-27T13:53:24Z",
    "title_canon_sha256": "abbd249a9e1f2d47c130e7451bba01394475669808e00b353243bfe90af8e85a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07907",
    "kind": "arxiv",
    "version": 1
  }
}