Pith Number

pith:AMBJUZQS

pith:2010:AMBJUZQSL6L3PMG2I25HE5EWFF

not attested not anchored not stored refs pending

Groupoid normalisers of tensor products: infinite von Neumann algebras

Junsheng Fang, Roger R. Smith, Stuart White

arxiv:1004.0851 v1 · 2010-04-06 · 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{AMBJUZQSL6L3PMG2I25HE5EWFF}

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	2026-05-18T01:34:46.002156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03029a66125f97b7b0da46ba72749629420f3785e13c344b01406c81d9e22d9e

Aliases

arxiv: 1004.0851 · arxiv_version: 1004.0851v1 · doi: 10.48550/arxiv.1004.0851 · pith_short_12: AMBJUZQSL6L3 · pith_short_16: AMBJUZQSL6L3PMG2 · pith_short_8: AMBJUZQS

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/AMBJUZQSL6L3PMG2I25HE5EWFF \
  | 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: 03029a66125f97b7b0da46ba72749629420f3785e13c344b01406c81d9e22d9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a564af3ba9c6470cdbe3bcc84437d8ac6c6c7d8035bd25989679f3722d9f84b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-04-06T13:43:02Z",
    "title_canon_sha256": "7bd22f20b74355b2e02f39faa8b15e571b2375895121631a471cfa7fd56bd155"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0851",
    "kind": "arxiv",
    "version": 1
  }
}