Pith Number

pith:4ZV27V5V

pith:2014:4ZV27V5V6EBKMORBVNDQ44JQKM

not attested not anchored not stored refs pending

On the real forms of the exceptional Lie algebra $ \mathfrak{e}_6$ and their Satake diagrams

Cristina Draper, Valerio Guido

arxiv:1412.1659 v1 · 2014-12-04 · 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{4ZV27V5V6EBKMORBVNDQ44JQKM}

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	2026-05-18T02:32:06.769363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e66bafd7b5f102a63a21ab470e713053375ece39cd6cf21abd913c55c5f1bae7

Aliases

arxiv: 1412.1659 · arxiv_version: 1412.1659v1 · doi: 10.48550/arxiv.1412.1659 · pith_short_12: 4ZV27V5V6EBK · pith_short_16: 4ZV27V5V6EBKMORB · pith_short_8: 4ZV27V5V

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/4ZV27V5V6EBKMORBVNDQ44JQKM \
  | 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: e66bafd7b5f102a63a21ab470e713053375ece39cd6cf21abd913c55c5f1bae7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15c91e22f8fed0ed163472d81e49619723b8834ae98fd694253b110f557597e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-12-04T13:28:06Z",
    "title_canon_sha256": "47bab9764551ff8ba62936ff1182ac9aea6fb8a6c4375c26d69e189dba99c3a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1659",
    "kind": "arxiv",
    "version": 1
  }
}