Pith Number

pith:652ZBBNR

pith:2018:652ZBBNRITHSF2QQZTCAUIIRSY

not attested not anchored not stored refs pending

On irreducible operators in factor von Neumann algebras

Junsheng Fang, Rui Shi, Shilin Wen

arxiv:1805.10936 v1 · 2018-05-28 · 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{652ZBBNRITHSF2QQZTCAUIIRSY}

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	2026-05-18T00:14:48.761878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7759085b144cf22ea10ccc40a2111961cd09a90b7a625626f4e247d091a0ae4

Aliases

arxiv: 1805.10936 · arxiv_version: 1805.10936v1 · doi: 10.48550/arxiv.1805.10936 · pith_short_12: 652ZBBNRITHS · pith_short_16: 652ZBBNRITHSF2QQ · pith_short_8: 652ZBBNR

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/652ZBBNRITHSF2QQZTCAUIIRSY \
  | 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: f7759085b144cf22ea10ccc40a2111961cd09a90b7a625626f4e247d091a0ae4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7f1ab784f429b1a6cbb151b9742a4a2d70d79fdce2fc83727aab5b3db28af55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-05-28T14:20:47Z",
    "title_canon_sha256": "8b17e7327fadbf7c6d94ff02273cbdb5f167c255d6eb134cd439ed89d6326c45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.10936",
    "kind": "arxiv",
    "version": 1
  }
}