Pith Number

pith:ZHTJ2EQA

pith:2000:ZHTJ2EQA22BOZGUJETWJ57HE4U

not attested not anchored not stored refs pending

Manin-Olshansky triples for Lie superalgebras

Alexander Shapovalov, Dimitry Leites

arxiv:math/0004186 v1 · 2000-04-01 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZHTJ2EQA22BOZGUJETWJ57HE4U}

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	2026-05-18T01:38:30.275591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9e69d1200d682ec9a8924ec9efce4e5138edb24bd022c7467ca6561f76ea8d0

Aliases

arxiv: math/0004186 · arxiv_version: math/0004186v1 · doi: 10.48550/arxiv.math/0004186 · pith_short_12: ZHTJ2EQA22BO · pith_short_16: ZHTJ2EQA22BOZGUJ · pith_short_8: ZHTJ2EQA

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/ZHTJ2EQA22BOZGUJETWJ57HE4U \
  | 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: c9e69d1200d682ec9a8924ec9efce4e5138edb24bd022c7467ca6561f76ea8d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "359802a63970c501e767aa2ed391ac0e413d7926e673f3e731aa65dda41a0457",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2000-04-01T00:00:00Z",
    "title_canon_sha256": "fe7af06629801d773ca0f0261efa610875c181423d183560a56e6f9f2724c57f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0004186",
    "kind": "arxiv",
    "version": 1
  }
}