Pith Number

pith:VOWNT7P2

pith:2012:VOWNT7P2MUH3FKZZPNXWOPEIKX

not attested not anchored not stored refs pending

More on the Frattini Subalgebra of a Leibniz Algebra

Allison Hedges, Ernest Stitzinger

arxiv:1206.5707 v2 · 2012-06-25 · 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{VOWNT7P2MUH3FKZZPNXWOPEIKX}

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	2026-05-18T03:35:28.073340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abacd9fdfa650fb2ab397b6f673c8855e7cb5476c401a864a9fa25acca9df7da

Aliases

arxiv: 1206.5707 · arxiv_version: 1206.5707v2 · doi: 10.48550/arxiv.1206.5707 · pith_short_12: VOWNT7P2MUH3 · pith_short_16: VOWNT7P2MUH3FKZZ · pith_short_8: VOWNT7P2

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/VOWNT7P2MUH3FKZZPNXWOPEIKX \
  | 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: abacd9fdfa650fb2ab397b6f673c8855e7cb5476c401a864a9fa25acca9df7da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc5c981fe4a7d32767c2db1397e601591ac8f7c730a0dd8a45eaf48bb1b81f26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-06-25T15:25:43Z",
    "title_canon_sha256": "41bc7ee310d9026e6e0b2eda73e4e139d3021f9ef4f7a1d89f06af0ae01d517d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5707",
    "kind": "arxiv",
    "version": 2
  }
}