Pith Number

pith:AZRABOQ4

pith:2010:AZRABOQ4RDHF3SH75W6NMBDIFK

not attested not anchored not stored refs pending

On commutative, operator amenable subalgebras of finite von Neumann algebras

Yemon Choi

arxiv:1012.4259 v3 · 2010-12-20 · 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{AZRABOQ4RDHF3SH75W6NMBDIFK}

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	2026-05-18T03:26:32.732581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

066200ba1c88ce5dc8ffedbcd604682a85871760c96efb18fbeac1b0d2b95cae

Aliases

arxiv: 1012.4259 · arxiv_version: 1012.4259v3 · doi: 10.48550/arxiv.1012.4259 · pith_short_12: AZRABOQ4RDHF · pith_short_16: AZRABOQ4RDHF3SH7 · pith_short_8: AZRABOQ4

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/AZRABOQ4RDHF3SH75W6NMBDIFK \
  | 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: 066200ba1c88ce5dc8ffedbcd604682a85871760c96efb18fbeac1b0d2b95cae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fdc84f4c467be5210bc5f7dbab9833cdc81866ff03fbca8b5e2bb4fa08ab54e",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-12-20T08:22:34Z",
    "title_canon_sha256": "933a1a5a109453b3cdee747a5f2a6b00a90c54fc97e8c971ebabb4c7da96940e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4259",
    "kind": "arxiv",
    "version": 3
  }
}