Pith Number

pith:NOGVGPYB

pith:2012:NOGVGPYBNBAKQKNVYFGNKO5KAH

not attested not anchored not stored refs pending

On defining characteristic representations of finite reductive groups

Frank L\"ubeck, Olivier Brunat

arxiv:1211.3692 v2 · 2012-11-15 · 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{NOGVGPYBNBAKQKNVYFGNKO5KAH}

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	2026-05-18T01:04:54.306145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b8d533f016840a829b5c14cd53baa01e9ce5a7c9913ebf82fec536932d2bd1b

Aliases

arxiv: 1211.3692 · arxiv_version: 1211.3692v2 · doi: 10.48550/arxiv.1211.3692 · pith_short_12: NOGVGPYBNBAK · pith_short_16: NOGVGPYBNBAKQKNV · pith_short_8: NOGVGPYB

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/NOGVGPYBNBAKQKNVYFGNKO5KAH \
  | 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: 6b8d533f016840a829b5c14cd53baa01e9ce5a7c9913ebf82fec536932d2bd1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb94312221f9097c94106c5f754011e558033639dbf714bc339aa3357e098dec",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-11-15T18:39:00Z",
    "title_canon_sha256": "4877c6df570b5d867f4f2f8692af9dbae3487e408b397e2be7bd32145efd523d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3692",
    "kind": "arxiv",
    "version": 2
  }
}