Pith Number

pith:RDJNZ7ID

pith:2007:RDJNZ7IDC4WHLMEALME6I3ZSXX

not attested not anchored not stored refs pending

Classification of squared normal operators on unitary and Euclidean spaces

Roger A. Horn, Vladimir V. Sergeichuk, Vyacheslav Futorny

arxiv:0710.0954 v1 · 2007-10-04 · 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{RDJNZ7IDC4WHLMEALME6I3ZSXX}

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	2026-05-18T04:06:17.999536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88d2dcfd03172c75b0805b09e46f32bdc139bfe8c2508a7591e312845e206158

Aliases

arxiv: 0710.0954 · arxiv_version: 0710.0954v1 · doi: 10.48550/arxiv.0710.0954 · pith_short_12: RDJNZ7IDC4WH · pith_short_16: RDJNZ7IDC4WHLMEA · pith_short_8: RDJNZ7ID

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/RDJNZ7IDC4WHLMEALME6I3ZSXX \
  | 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: 88d2dcfd03172c75b0805b09e46f32bdc139bfe8c2508a7591e312845e206158

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3cb6ca879431f9b34e353378c5b289495648f43b55703aeddf461bf18015aba",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2007-10-04T09:04:02Z",
    "title_canon_sha256": "2c57f409544b93b67034671606668c34c822322aa0eeba9d9b52817139064937"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.0954",
    "kind": "arxiv",
    "version": 1
  }
}