Pith Number

pith:OULP4TKM

pith:2019:OULP4TKMJ6IPSEZDTYX5D7DGU3

not attested not anchored not stored refs pending

Real forms of embeddings of maximal reductive subalgebras of the complex simple Lie algebras of rank up to 8

Alessio Marrani, Willem A. de Graaf

arxiv:1911.06575 v2 · 2019-11-15 · math.RA · hep-th · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OULP4TKMJ6IPSEZDTYX5D7DGU3}

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	2026-07-05T01:04:07.115321Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7516fe4d4c4f90f913239e2fd1fc66a6f427033f6bc7d405e0027858a4650316

Aliases

arxiv: 1911.06575 · arxiv_version: 1911.06575v2 · doi: 10.48550/arxiv.1911.06575 · pith_short_12: OULP4TKMJ6IP · pith_short_16: OULP4TKMJ6IPSEZD · pith_short_8: OULP4TKM

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/OULP4TKMJ6IPSEZDTYX5D7DGU3 \
  | 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: 7516fe4d4c4f90f913239e2fd1fc66a6f427033f6bc7d405e0027858a4650316

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3ad1156dc73834f018745cb51cfb62d45970843d13a78686e1d71237d786479",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-11-15T11:40:22Z",
    "title_canon_sha256": "4192e658739ad40f26e610a609840179eaeedfc083a9ae1f882fd1bcf13ee187"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.06575",
    "kind": "arxiv",
    "version": 2
  }
}