Pith Number

pith:OFHGSR5J

pith:2009:OFHGSR5JMH2N5T3BCGEM455XYB

not attested not anchored not stored refs pending

On the Dynkin index of a principal $\mathfrak{sl}_2$-subalgebra

Dmitri I. Panyushev

arxiv:0903.0398 v1 · 2009-03-02 · 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{OFHGSR5JMH2N5T3BCGEM455XYB}

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	2026-07-04T15:39:00.054132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

714e6947a961f4decf611188ce77b7c0629d03d0ed69f9fedeeb45fa96dc60b1

Aliases

arxiv: 0903.0398 · arxiv_version: 0903.0398v1 · doi: 10.48550/arxiv.0903.0398 · pith_short_12: OFHGSR5JMH2N · pith_short_16: OFHGSR5JMH2N5T3B · pith_short_8: OFHGSR5J

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/OFHGSR5JMH2N5T3BCGEM455XYB \
  | 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: 714e6947a961f4decf611188ce77b7c0629d03d0ed69f9fedeeb45fa96dc60b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02030703eb432abf89b4a219a9dadb98a72da6eba7c6b5c5445fe6351cc5c71e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-03-02T22:19:26Z",
    "title_canon_sha256": "a6c1035ab93fa9fcf0ade8e60806e8b6f705f921a0fbde922d37bdadfe9b97be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.0398",
    "kind": "arxiv",
    "version": 1
  }
}