Pith Number

pith:CTX4JWEV

pith:2018:CTX4JWEVJ3VR2UYLQ3XOVICVOF

not attested not anchored not stored refs pending

A note on the Voiculescu's theorem for commutative C$^*$-algebras in semifinite von Neumann algebras

Don Hadwin, Rui Shi

arxiv:1801.02510 v2 · 2018-01-08 · 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{CTX4JWEVJ3VR2UYLQ3XOVICVOF}

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	2026-05-18T00:25:41.369592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14efc4d8954eeb1d530b86eeeaa055716a44ad6e1ae12f184f71bd4e8abddf26

Aliases

arxiv: 1801.02510 · arxiv_version: 1801.02510v2 · doi: 10.48550/arxiv.1801.02510 · pith_short_12: CTX4JWEVJ3VR · pith_short_16: CTX4JWEVJ3VR2UYL · pith_short_8: CTX4JWEV

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/CTX4JWEVJ3VR2UYLQ3XOVICVOF \
  | 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: 14efc4d8954eeb1d530b86eeeaa055716a44ad6e1ae12f184f71bd4e8abddf26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73c753828fb78160976ed2465ceb82da884b70d44fb08c401d821f7440841b9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-01-08T15:37:40Z",
    "title_canon_sha256": "5303390ee5791c172cf048171fde2ecb2b30199f6b76ef826c633045edade882"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.02510",
    "kind": "arxiv",
    "version": 2
  }
}