Pith Number

pith:XNCE4LQF

pith:2015:XNCE4LQFDXJ42YZNXLN45M6KDC

not attested not anchored not stored refs pending

Yet another proof of the Ado theorem

Pasha Zusmanovich

arxiv:1507.02233 v5 · 2015-07-08 · math.RA · math.HO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XNCE4LQFDXJ42YZNXLN45M6KDC}

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	2026-05-18T00:09:36.953074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb444e2e051dd3cd632dbadbceb3ca18bd7b59026b913b623adab8549144532b

Aliases

arxiv: 1507.02233 · arxiv_version: 1507.02233v5 · doi: 10.48550/arxiv.1507.02233 · pith_short_12: XNCE4LQFDXJ4 · pith_short_16: XNCE4LQFDXJ42YZN · pith_short_8: XNCE4LQF

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/XNCE4LQFDXJ42YZNXLN45M6KDC \
  | 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: bb444e2e051dd3cd632dbadbceb3ca18bd7b59026b913b623adab8549144532b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4537030da48b68f0a5e1aae406867aba550b91c9bd4fc7dbed43a103684054a5",
    "cross_cats_sorted": [
      "math.HO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-07-08T17:34:30Z",
    "title_canon_sha256": "fe6cce3dc402c311e50717b6a249a3890753f1e411d1c1528c2528f1803d4719"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02233",
    "kind": "arxiv",
    "version": 5
  }
}