Pith Number

pith:5VB7YNTJ

pith:2011:5VB7YNTJENQAGE6MKLSBADJGWF

not attested not anchored not stored refs pending

On the nilpotent commutator of a nilpotent matrix

Polona Oblak

arxiv:1106.1545 v1 · 2011-06-08 · 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{5VB7YNTJENQAGE6MKLSBADJGWF}

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	2026-05-18T04:20:22.797979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed43fc366923600313cc52e4100d26b15b38a2407cc3ac00b585138618e3258e

Aliases

arxiv: 1106.1545 · arxiv_version: 1106.1545v1 · doi: 10.48550/arxiv.1106.1545 · pith_short_12: 5VB7YNTJENQA · pith_short_16: 5VB7YNTJENQAGE6M · pith_short_8: 5VB7YNTJ

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/5VB7YNTJENQAGE6MKLSBADJGWF \
  | 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: ed43fc366923600313cc52e4100d26b15b38a2407cc3ac00b585138618e3258e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6514a6578616051525d8e85b7ef19cd592342a6d1b3024ec9de2932c02ff3ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-06-08T12:11:02Z",
    "title_canon_sha256": "e4b8c1f481d222c8c727870f0d0aadb5aaad6d2fb1590c8a3b755dacc644a443"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1545",
    "kind": "arxiv",
    "version": 1
  }
}