Pith Number

pith:TR6QCZ56

pith:2018:TR6QCZ56CEWDZUANJLLQCVC34A

not attested not anchored not stored refs pending

A note on characterizations of relative amenability on finite von Neumann algebras

Junsheng Fang, Xiaoyan Zhou

arxiv:1807.01905 v1 · 2018-07-05 · 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{TR6QCZ56CEWDZUANJLLQCVC34A}

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	2026-05-18T00:11:24.746096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c7d0167be112c3cd00d4ad701545be024357ec17cf651efcdf0076bf3ff4883

Aliases

arxiv: 1807.01905 · arxiv_version: 1807.01905v1 · doi: 10.48550/arxiv.1807.01905 · pith_short_12: TR6QCZ56CEWD · pith_short_16: TR6QCZ56CEWDZUAN · pith_short_8: TR6QCZ56

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/TR6QCZ56CEWDZUANJLLQCVC34A \
  | 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: 9c7d0167be112c3cd00d4ad701545be024357ec17cf651efcdf0076bf3ff4883

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a869191107a89890a8916a5f51a1faaa9bedee9fa17854e355f3c59c0259aac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-07-05T09:05:32Z",
    "title_canon_sha256": "04b588db579d308962d24c2b7c8ea8725949e193246a84456ddfc945db1c0d49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.01905",
    "kind": "arxiv",
    "version": 1
  }
}