Pith Number

pith:J4RVCJ25

pith:2012:J4RVCJ25RA5YEFWWEJGJ424XST

not attested not anchored not stored refs pending

Representations of Lie Algebras by non-Skewselfadjoint Operators in Hilbert Space

Eli Shamovich, Victor Vinnikov

arxiv:1209.4224 v5 · 2012-09-19 · math.DS · 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{J4RVCJ25RA5YEFWWEJGJ424XST}

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	2026-05-18T00:01:19.973845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f2351275d883b8216d6224c9e6b9794cd7a3591343596eb0f58bfb7a35dda02

Aliases

arxiv: 1209.4224 · arxiv_version: 1209.4224v5 · doi: 10.48550/arxiv.1209.4224 · pith_short_12: J4RVCJ25RA5Y · pith_short_16: J4RVCJ25RA5YEFWW · pith_short_8: J4RVCJ25

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/J4RVCJ25RA5YEFWWEJGJ424XST \
  | 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: 4f2351275d883b8216d6224c9e6b9794cd7a3591343596eb0f58bfb7a35dda02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d3f7422042a7130c0821f682448be1da001559b9f86881534bef0cca5c641b7",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-09-19T12:28:10Z",
    "title_canon_sha256": "9f45a1a57a03b2033222c00662cbf8adc7ec7d15eb3cce372aaaf88152393ada"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4224",
    "kind": "arxiv",
    "version": 5
  }
}