Pith Number

pith:4OSPGF3P

pith:2010:4OSPGF3PW6SFEPGDLWITGP5O7L

not attested not anchored not stored refs pending

Finite dimensional irreducible representations of finite W-algebras associated to even multiplicity nilpotent orbits in classical Lie algebras

Jonathan S. Brown, Simon M. Goodwin

arxiv:1009.3869 v2 · 2010-09-20 · math.RT · math-ph · math.MP · math.QA · 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{4OSPGF3PW6SFEPGDLWITGP5O7L}

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	2026-05-18T04:39:38.576503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3a4f3176fb7a4523cc35d91333faefad64f7bb02ade6369828ade62f8a991c0

Aliases

arxiv: 1009.3869 · arxiv_version: 1009.3869v2 · doi: 10.48550/arxiv.1009.3869 · pith_short_12: 4OSPGF3PW6SF · pith_short_16: 4OSPGF3PW6SFEPGD · pith_short_8: 4OSPGF3P

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/4OSPGF3PW6SFEPGDLWITGP5O7L \
  | 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: e3a4f3176fb7a4523cc35d91333faefad64f7bb02ade6369828ade62f8a991c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dec32c41316ad87ede62565f55bb1d90d6354dfc9158c7eb52e7d0c652dbd256",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.QA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-09-20T16:04:19Z",
    "title_canon_sha256": "d872bf49e7927e6a1871a890bee66e25167f706591b59b069aeadf44aec61943"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3869",
    "kind": "arxiv",
    "version": 2
  }
}