Pith Number

pith:7KIWLIOH

pith:2012:7KIWLIOH7MHAJTWAYIXAPG6XZW

not attested not anchored not stored refs pending

On the classification of free Bogoljubov crossed product von Neumann algebras by the integers

Sven Raum

arxiv:1212.3132 v1 · 2012-12-13 · math.OA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7KIWLIOH7MHAJTWAYIXAPG6XZW}

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	2026-05-18T03:38:33.682544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa9165a1c7fb0e04cec0c22e079bd7cd9a9d89574bbd280c022d915f0a2d9586

Aliases

arxiv: 1212.3132 · arxiv_version: 1212.3132v1 · doi: 10.48550/arxiv.1212.3132 · pith_short_12: 7KIWLIOH7MHA · pith_short_16: 7KIWLIOH7MHAJTWA · pith_short_8: 7KIWLIOH

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/7KIWLIOH7MHAJTWAYIXAPG6XZW \
  | 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: fa9165a1c7fb0e04cec0c22e079bd7cd9a9d89574bbd280c022d915f0a2d9586

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2c58ce068067b9e43df3b9f79841d91defb8760f253847e26a41ce2079a0d85",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-12-13T11:29:14Z",
    "title_canon_sha256": "b61f8a4e3710d5d9cadd7644514d29aff43546e4e40c4ac7644eeaf8986f01ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3132",
    "kind": "arxiv",
    "version": 1
  }
}