Pith Number

pith:TD4CNDES

pith:2012:TD4CNDESK64MVLHUY5Y5H5GA7M

not attested not anchored not stored refs pending

Bounding extensions for finite groups and Frobenius kernels

Brian J. Parshall, Christopher P. Bendel, Cornelius Pillen, Daniel K. Nakano, David I. Stewart, Leonard L. Scott

arxiv:1208.6333 v1 · 2012-08-30 · 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{TD4CNDESK64MVLHUY5Y5H5GA7M}

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	2026-05-18T03:46:33.662023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98f8268c9257b8caacf4c771d3f4c0fb13edb8b3a5ab3507f92a4772ba5b73de

Aliases

arxiv: 1208.6333 · arxiv_version: 1208.6333v1 · doi: 10.48550/arxiv.1208.6333 · pith_short_12: TD4CNDESK64M · pith_short_16: TD4CNDESK64MVLHU · pith_short_8: TD4CNDES

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/TD4CNDESK64MVLHUY5Y5H5GA7M \
  | 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: 98f8268c9257b8caacf4c771d3f4c0fb13edb8b3a5ab3507f92a4772ba5b73de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44d01e05130d7327b6ea0f3cce9bc66fe5361b25877d348376b749a8201336c4",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-08-30T23:14:08Z",
    "title_canon_sha256": "510bc703af4e69724d508f22905f8b71546fb792aa5621b06cb49b4e67669ad3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.6333",
    "kind": "arxiv",
    "version": 1
  }
}