Pith Number

pith:UONRYZJC

pith:2013:UONRYZJCWHGUQDGYU5YFZ47CA2

not attested not anchored not stored refs pending

Coefficients of \v{S}apovalov elements for simple Lie algebras and contragredient Lie superalgebras

Ian M. Musson

arxiv:1311.0570 v3 · 2013-11-04 · 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{UONRYZJCWHGUQDGYU5YFZ47CA2}

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	2026-05-18T02:17:22.044983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a39b1c6522b1cd480cd8a7705cf3e20692cd8b6551abf3481894b4a2dca50bff

Aliases

arxiv: 1311.0570 · arxiv_version: 1311.0570v3 · doi: 10.48550/arxiv.1311.0570 · pith_short_12: UONRYZJCWHGU · pith_short_16: UONRYZJCWHGUQDGY · pith_short_8: UONRYZJC

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/UONRYZJCWHGUQDGYU5YFZ47CA2 \
  | 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: a39b1c6522b1cd480cd8a7705cf3e20692cd8b6551abf3481894b4a2dca50bff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70f9e7ed8b1dc150852df3116b4ce4b349ae4ae29152e00ace79a3653096b44b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-11-04T03:04:56Z",
    "title_canon_sha256": "72f285d5d77ad4352374cb640b48148f8ec68bdbcf58a0ae4e7bdce89ecc1b60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0570",
    "kind": "arxiv",
    "version": 3
  }
}