Pith Number

pith:VIGCCBW6

pith:2012:VIGCCBW67BILNUNRINTFKD43H7

not attested not anchored not stored refs pending

Matrices that commute with their derivative. On a letter from Schur to Wielandt

Hans Schneider, Olga Holtz, Volker Mehrmann

arxiv:1207.1258 v5 · 2012-07-05 · math.RA · math.HO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VIGCCBW67BILNUNRINTFKD43H7}

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	2026-05-18T02:25:10.705737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa0c2106def850b6d1b14366550f9b3fd8bafea5e790fd61ce4053191c01ba88

Aliases

arxiv: 1207.1258 · arxiv_version: 1207.1258v5 · doi: 10.48550/arxiv.1207.1258 · pith_short_12: VIGCCBW67BIL · pith_short_16: VIGCCBW67BILNUNR · pith_short_8: VIGCCBW6

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/VIGCCBW67BILNUNRINTFKD43H7 \
  | 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: aa0c2106def850b6d1b14366550f9b3fd8bafea5e790fd61ce4053191c01ba88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43a2faac8ea1d261c27993083b3ba6faee032a359b1b66e1ffcf82a40bb2d16b",
    "cross_cats_sorted": [
      "math.HO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-07-05T14:02:10Z",
    "title_canon_sha256": "d4092b09c2f9e708c8b78e7e3f4bd83a02933cd86d4f1feb28d228724acc4083"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1258",
    "kind": "arxiv",
    "version": 5
  }
}