Pith Number

pith:5GEA3OKI

pith:2011:5GEA3OKII55O4ZAAILAPOOAWVR

not attested not anchored not stored refs pending

Cayley Hamilton theorem with sandwich coefficients for n$\times$n matrices over a ring satisfying [x,y][u,v]=0

Jeno Szigeti

arxiv:1106.3223 v1 · 2011-06-16 · 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{5GEA3OKII55O4ZAAILAPOOAWVR}

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	2026-05-18T04:19:53.933097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9880db948477aee640042c0f73816ac798efe4eae859bf6820d4349b0ef8175

Aliases

arxiv: 1106.3223 · arxiv_version: 1106.3223v1 · doi: 10.48550/arxiv.1106.3223 · pith_short_12: 5GEA3OKII55O · pith_short_16: 5GEA3OKII55O4ZAA · pith_short_8: 5GEA3OKI

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/5GEA3OKII55O4ZAAILAPOOAWVR \
  | 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: e9880db948477aee640042c0f73816ac798efe4eae859bf6820d4349b0ef8175

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d0b9eb46ea27f6935e6666e413e5bba3ecdfa8fc60a7195670f9a4b79dd5c0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-06-16T13:15:14Z",
    "title_canon_sha256": "49a59117051a82037d64baedef12ebdbb33200f23d9a87f1cd4fa5b7bce49f0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3223",
    "kind": "arxiv",
    "version": 1
  }
}