Pith Number

pith:RIH3WQCP

pith:2008:RIH3WQCPUU5YYWCL27ENN73XR4

not attested not anchored not stored refs pending

Perron-Frobenius operators and representations of the Cuntz-Krieger algebras for infinite matrices

Daniel Goncalves, Danilo Royer

arxiv:0808.0835 v1 · 2008-08-06 · math.OA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RIH3WQCPUU5YYWCL27ENN73XR4}

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	2026-07-04T15:13:26.962882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a0fbb404fa53b8c584bd7c8d6ff778f0e4a1e703902414a41f1bf8197a5c6bb

Aliases

arxiv: 0808.0835 · arxiv_version: 0808.0835v1 · doi: 10.48550/arxiv.0808.0835 · pith_short_12: RIH3WQCPUU5Y · pith_short_16: RIH3WQCPUU5YYWCL · pith_short_8: RIH3WQCP

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/RIH3WQCPUU5YYWCL27ENN73XR4 \
  | 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: 8a0fbb404fa53b8c584bd7c8d6ff778f0e4a1e703902414a41f1bf8197a5c6bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf3a5c0917aa5f76c50dc9eb504644cfc19e406afd09aafd1e6b58396953739d",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2008-08-06T13:41:24Z",
    "title_canon_sha256": "e74499d80d3ee84b2ec8d1d2afb37ec22c8a98ae328336871414de26ed46c4e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.0835",
    "kind": "arxiv",
    "version": 1
  }
}