Pith Number

pith:SPW2SI2G

pith:2013:SPW2SI2GN4MLHCOWW7HTB6DT4B

not attested not anchored not stored refs pending

A class of C*-algebras that are prime but not primitive

Gene Abrams, Mark Tomforde

arxiv:1306.6669 v2 · 2013-06-27 · 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{SPW2SI2GN4MLHCOWW7HTB6DT4B}

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	2026-05-18T03:15:17.947209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93eda923466f18b389d6b7cf30f873e04ab2f6c9d89445e601de4e6ff0dda7ce

Aliases

arxiv: 1306.6669 · arxiv_version: 1306.6669v2 · doi: 10.48550/arxiv.1306.6669 · pith_short_12: SPW2SI2GN4ML · pith_short_16: SPW2SI2GN4MLHCOW · pith_short_8: SPW2SI2G

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/SPW2SI2GN4MLHCOWW7HTB6DT4B \
  | 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: 93eda923466f18b389d6b7cf30f873e04ab2f6c9d89445e601de4e6ff0dda7ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "272dc7a44a3253a56e08aae07e0926529d475c6645ccc2a0f8d31c7b8bb56236",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-06-27T22:05:21Z",
    "title_canon_sha256": "fb8e654448888155130ca42b314c1e6a2a90d8c309c960080592d2dd95e1d7f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6669",
    "kind": "arxiv",
    "version": 2
  }
}