Pith Number

pith:PI4VFOFQ

pith:2013:PI4VFOFQKH6OXA2CC64PWVZ3XL

not attested not anchored not stored refs pending

A $\mathbb{Z}_4^3$-grading on a 56-dimensional simple structurable algebra and related fine gradings on the simple Lie algebras of type E

Alberto Elduque, Diego Aranda, Mikhail Kochetov

arxiv:1312.1067 v1 · 2013-12-04 · 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{PI4VFOFQKH6OXA2CC64PWVZ3XL}

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	2026-05-18T01:59:58.879978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a3952b8b051fceb834217b8fb573bbae88247ffc8afe44312cf429fd084f3f1

Aliases

arxiv: 1312.1067 · arxiv_version: 1312.1067v1 · doi: 10.48550/arxiv.1312.1067 · pith_short_12: PI4VFOFQKH6O · pith_short_16: PI4VFOFQKH6OXA2C · pith_short_8: PI4VFOFQ

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/PI4VFOFQKH6OXA2CC64PWVZ3XL \
  | 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: 7a3952b8b051fceb834217b8fb573bbae88247ffc8afe44312cf429fd084f3f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b2ffd23efc8105ed6a82956abee7bc5f359411c479aee6e39caa89ca1009cea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-12-04T09:04:53Z",
    "title_canon_sha256": "7fab85de4359ace05e7c1f9552517188add006a3d7bc1aaa826726cb386de87c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1067",
    "kind": "arxiv",
    "version": 1
  }
}