Pith Number

pith:KAJ3ISIL

pith:2010:KAJ3ISILJAJDRPPIPA6UB3KG5V

not attested not anchored not stored refs pending

The Cuntz semigroup, a Riesz type interpolation property, comparison and the ideal property

Cornel Pasnicu, Francesc Perera

arxiv:1012.5216 v3 · 2010-12-23 · math.OA · 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{KAJ3ISILJAJDRPPIPA6UB3KG5V}

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	2026-05-18T04:13:15.971132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5013b4490b481238bde8783d40ed46ed65a74fab5d8ddfdb6b5b8e51c11db467

Aliases

arxiv: 1012.5216 · arxiv_version: 1012.5216v3 · doi: 10.48550/arxiv.1012.5216 · pith_short_12: KAJ3ISILJAJD · pith_short_16: KAJ3ISILJAJDRPPI · pith_short_8: KAJ3ISIL

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/KAJ3ISILJAJDRPPIPA6UB3KG5V \
  | 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: 5013b4490b481238bde8783d40ed46ed65a74fab5d8ddfdb6b5b8e51c11db467

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16269bca9e24cc07eea751d2a3889a76a1d98064c9bec6091e37b061f8914405",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-12-23T14:29:20Z",
    "title_canon_sha256": "7288d28d734a826e291242c7f7480be2437dac0e8f8de9636a7ec12ab0876c36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5216",
    "kind": "arxiv",
    "version": 3
  }
}