Pith Number

pith:ZKJOCJ7U

pith:2013:ZKJOCJ7UUGQH757T4MZN66NO2R

not attested not anchored not stored refs pending

Maximal finite abelian subgroups of E8

Alberto Elduque, Cristina Draper

arxiv:1312.4326 v1 · 2013-12-16 · math.GR · math.RA · 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{ZKJOCJ7UUGQH757T4MZN66NO2R}

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	2026-05-18T00:33:53.580369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca92e127f4a1a07ff7f3e332df79aed46e3cc53b4709a0b3cdca6989ee53b547

Aliases

arxiv: 1312.4326 · arxiv_version: 1312.4326v1 · doi: 10.48550/arxiv.1312.4326 · pith_short_12: ZKJOCJ7UUGQH · pith_short_16: ZKJOCJ7UUGQH757T · pith_short_8: ZKJOCJ7U

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/ZKJOCJ7UUGQH757T4MZN66NO2R \
  | 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: ca92e127f4a1a07ff7f3e332df79aed46e3cc53b4709a0b3cdca6989ee53b547

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0a1760fbce7c0bd9d912da5d654767ad566e5aa2554ccf58b54a2e772f735f4",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-12-16T12:01:08Z",
    "title_canon_sha256": "82c2d178490d0ac2ceaa3bfcd4d9e93016b6975fa679443271e24549ca8534f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4326",
    "kind": "arxiv",
    "version": 1
  }
}