Pith Number

pith:CPXDZ7R6

pith:2012:CPXDZ7R6DBK56WEZIH256HXK22

not attested not anchored not stored refs pending

On the compact real forms of the Lie algebras of type $E_6$ and $F_4$

Robert A. Wilson

arxiv:1208.3967 v1 · 2012-08-20 · math.RA · 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{CPXDZ7R6DBK56WEZIH256HXK22}

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	2026-05-18T03:48:25.625736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13ee3cfe3e1855df589941f5df1eead699f269eda5be882595fe5aaaff247b29

Aliases

arxiv: 1208.3967 · arxiv_version: 1208.3967v1 · doi: 10.48550/arxiv.1208.3967 · pith_short_12: CPXDZ7R6DBK5 · pith_short_16: CPXDZ7R6DBK56WEZ · pith_short_8: CPXDZ7R6

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/CPXDZ7R6DBK56WEZIH256HXK22 \
  | 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: 13ee3cfe3e1855df589941f5df1eead699f269eda5be882595fe5aaaff247b29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6181bed4a3e14a6ae661f49843e9cdd17001a69f34be9e2ce6f453793b021caa",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-08-20T10:31:55Z",
    "title_canon_sha256": "1fbc8fe45899bee7b7f570006ffcce3e5678ad5eac3aee0a4b4783dc148d3e8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3967",
    "kind": "arxiv",
    "version": 1
  }
}