Pith Number

pith:QMNACNKV

pith:2012:QMNACNKVXNJ5ZPWOE6TQARNM6S

not attested not anchored not stored refs pending

On the number of points of the Lusztig nilpotent variety over a finite field

Olivier Schiffmann

arxiv:1212.3772 v2 · 2012-12-16 · math.QA · 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{QMNACNKVXNJ5ZPWOE6TQARNM6S}

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	2026-05-18T03:37:40.486281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

831a013555bb53dcbece27a70045acf4a0e0ce1d8e5202a1dd6df8bcf6716552

Aliases

arxiv: 1212.3772 · arxiv_version: 1212.3772v2 · doi: 10.48550/arxiv.1212.3772 · pith_short_12: QMNACNKVXNJ5 · pith_short_16: QMNACNKVXNJ5ZPWO · pith_short_8: QMNACNKV

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/QMNACNKVXNJ5ZPWOE6TQARNM6S \
  | 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: 831a013555bb53dcbece27a70045acf4a0e0ce1d8e5202a1dd6df8bcf6716552

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "794bdc607e5a4fd21966138340ac347441a173f8b1b399cffb3cf04280f29c6f",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-12-16T10:10:15Z",
    "title_canon_sha256": "5abec1354a68d23773316fa3b6082ccd82a8353f6e8107b9e32a7c48a59df251"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3772",
    "kind": "arxiv",
    "version": 2
  }
}