Pith Number

pith:POGVAIZ3

pith:2016:POGVAIZ3F6ZFDLI4N2BGBHRXRL

not attested not anchored not stored refs pending

A non-restricted counterexample to the first Kac-Weisfeiler conjecture

Lewis Topley

arxiv:1605.06033 v2 · 2016-05-19 · math.RT · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{POGVAIZ3F6ZFDLI4N2BGBHRXRL}

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	2026-05-18T01:12:40.185511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b8d50233b2fb251ad1c6e82609e378ae61c3adacc48fece2c20b7651dff78fe

Aliases

arxiv: 1605.06033 · arxiv_version: 1605.06033v2 · doi: 10.48550/arxiv.1605.06033 · pith_short_12: POGVAIZ3F6ZF · pith_short_16: POGVAIZ3F6ZFDLI4 · pith_short_8: POGVAIZ3

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/POGVAIZ3F6ZFDLI4N2BGBHRXRL \
  | 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: 7b8d50233b2fb251ad1c6e82609e378ae61c3adacc48fece2c20b7651dff78fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fbe1eb781fa43dcdda1c1fa7fb4cd108e2dd09de1858045b19988293d201587",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-05-19T16:21:58Z",
    "title_canon_sha256": "2ed9f5afadc7f0d66a33f6e6f141aece132ea0c7e7f81412001163af8c8fc247"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06033",
    "kind": "arxiv",
    "version": 2
  }
}