Pith Number

pith:WRAYUUWQ

pith:2013:WRAYUUWQ3PWVG4CPD6U2MWZRK2

not attested not anchored not stored refs pending

On maximal commutative subalgebras of Poisson algebras associated with involutions of semisimple Lie algebras

Dmitri Panyushev, Oksana Yakimova

arxiv:1312.1872 v1 · 2013-12-06 · 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{WRAYUUWQ3PWVG4CPD6U2MWZRK2}

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	2026-05-18T00:32:45.413129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4418a52d0dbed53704f1fa9a65b31569020cdeee0be8da85044d72e54c83712

Aliases

arxiv: 1312.1872 · arxiv_version: 1312.1872v1 · doi: 10.48550/arxiv.1312.1872 · pith_short_12: WRAYUUWQ3PWV · pith_short_16: WRAYUUWQ3PWVG4CP · pith_short_8: WRAYUUWQ

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/WRAYUUWQ3PWVG4CPD6U2MWZRK2 \
  | 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: b4418a52d0dbed53704f1fa9a65b31569020cdeee0be8da85044d72e54c83712

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3c82265be4bb5d90a38bea72da099cfdcf2d7ffac1e9759a78fab1ca58430a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-12-06T14:27:51Z",
    "title_canon_sha256": "936d3c7ea3538ad3289ddd48be584d10cef01de84bc06cafa24e415d59abc5e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1872",
    "kind": "arxiv",
    "version": 1
  }
}