Pith Number

pith:VLTLLGXC

pith:2016:VLTLLGXC5IQUCACVBBKQMAYLD5

not attested not anchored not stored refs pending

On blocks of defect two and one simple module, and Lie algebra structure of $HH^1$

David John Benson, Markus Linckelmann, Radha Kessar

arxiv:1604.04437 v1 · 2016-04-15 · 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{VLTLLGXC5IQUCACVBBKQMAYLD5}

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	2026-05-18T01:17:02.245585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aae6b59ae2ea21410055085506030b1f47d5d27c7119ba434f4927d205396fd5

Aliases

arxiv: 1604.04437 · arxiv_version: 1604.04437v1 · doi: 10.48550/arxiv.1604.04437 · pith_short_12: VLTLLGXC5IQU · pith_short_16: VLTLLGXC5IQUCACV · pith_short_8: VLTLLGXC

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/VLTLLGXC5IQUCACVBBKQMAYLD5 \
  | 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: aae6b59ae2ea21410055085506030b1f47d5d27c7119ba434f4927d205396fd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10b81e72010e9b09439d30ec40104e5b4218a38f7a05008024d105520c3ad842",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-04-15T11:32:44Z",
    "title_canon_sha256": "38a53216201198a62e966df66c612a0e249b9c76839d85ba0dfe3e9fb74ca579"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04437",
    "kind": "arxiv",
    "version": 1
  }
}