Pith Number

pith:LCU43O37

pith:2012:LCU43O37BBRUNT6M4CPD6C73MT

not attested not anchored not stored refs pending

Two families of Exel-Larsen crossed products

Iain Raeburn, Nathan Brownlowe

arxiv:1204.6431 v1 · 2012-04-28 · 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{LCU43O37BBRUNT6M4CPD6C73MT}

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	2026-05-18T03:56:45.582089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58a9cdbb7f086346cfcce09e3f0bfb64eb1a50aa32fe321e30d9b96d9358c584

Aliases

arxiv: 1204.6431 · arxiv_version: 1204.6431v1 · doi: 10.48550/arxiv.1204.6431 · pith_short_12: LCU43O37BBRU · pith_short_16: LCU43O37BBRUNT6M · pith_short_8: LCU43O37

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/LCU43O37BBRUNT6M4CPD6C73MT \
  | 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: 58a9cdbb7f086346cfcce09e3f0bfb64eb1a50aa32fe321e30d9b96d9358c584

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "113e15c11657ba075108fbbaa8e4b17bf591f194913a6345bae2cdcdbff799f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-04-28T20:56:37Z",
    "title_canon_sha256": "6bd38593d1392b2640e7ee7cc9e013c0d78cbc8a03523a264cdd5ccc2470bd32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6431",
    "kind": "arxiv",
    "version": 1
  }
}