Pith Number

pith:FCJAUN2E

pith:2010:FCJAUN2ETITXFEQGQRESY2IIXZ

not attested not anchored not stored refs pending

Defect of a Kronecker product of unitary matrices

Wojciech Tadej

arxiv:1009.4037 v2 · 2010-09-21 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FCJAUN2ETITXFEQGQRESY2IIXZ}

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	2026-05-18T04:35:14.546979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28920a37449a2772920684492c6908be40d57e0c4fcf24dafeaa8735b3149135

Aliases

arxiv: 1009.4037 · arxiv_version: 1009.4037v2 · doi: 10.48550/arxiv.1009.4037 · pith_short_12: FCJAUN2ETITX · pith_short_16: FCJAUN2ETITXFEQG · pith_short_8: FCJAUN2E

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/FCJAUN2ETITXFEQGQRESY2IIXZ \
  | 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: 28920a37449a2772920684492c6908be40d57e0c4fcf24dafeaa8735b3149135

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22912e400fdd16793b8ad78eb36e1cfc893aa8ff3e2ae21bcf4e71cc5a0798f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-09-21T10:10:52Z",
    "title_canon_sha256": "5763cdf194260d8aa5337d6db78bd915ff0fbc0dd8f1b81246c2765e68af311e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4037",
    "kind": "arxiv",
    "version": 2
  }
}