Pith Number

pith:KZK4KNPR

pith:2019:KZK4KNPR76LLEWQE6M4M2UMK5K

not attested not anchored not stored refs pending

Detecting nilpotence and projectivity over finite unipotent supergroup schemes

Dave Benson, Henning Krause, Julia Pevtsova, Srikanth B. Iyengar

arxiv:1901.08273 v2 · 2019-01-24 · 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{KZK4KNPR76LLEWQE6M4M2UMK5K}

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	2026-05-17T23:41:21.886623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5655c535f1ff96b25a04f338cd518aeaac0781a75f916f3d1f7932eb5180bb04

Aliases

arxiv: 1901.08273 · arxiv_version: 1901.08273v2 · doi: 10.48550/arxiv.1901.08273 · pith_short_12: KZK4KNPR76LL · pith_short_16: KZK4KNPR76LLEWQE · pith_short_8: KZK4KNPR

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/KZK4KNPR76LLEWQE6M4M2UMK5K \
  | 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: 5655c535f1ff96b25a04f338cd518aeaac0781a75f916f3d1f7932eb5180bb04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "756d0698a8842c288919fd82d4643584cc1e9f53d2cda34224673ec784719bb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-01-24T08:17:46Z",
    "title_canon_sha256": "2154b041264d7f84ac7d5fed9cfed1b2af331ff6f031bb1a085eed16f3532a91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.08273",
    "kind": "arxiv",
    "version": 2
  }
}