Pith Number

pith:Y47UP37K

pith:2018:Y47UP37KPS2LHNWOHDNZM74OCJ

not attested not anchored not stored refs pending

Property (T) for locally compact groups and C*-algebras

Bachir Bekka, Chi-Keung Ng

arxiv:1803.10933 v1 · 2018-03-29 · 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{Y47UP37KPS2LHNWOHDNZM74OCJ}

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	2026-05-18T00:19:49.750743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c73f47efea7cb4b3b6ce38db967f8e1254692dce48896ac268b94f64031e760a

Aliases

arxiv: 1803.10933 · arxiv_version: 1803.10933v1 · doi: 10.48550/arxiv.1803.10933 · pith_short_12: Y47UP37KPS2L · pith_short_16: Y47UP37KPS2LHNWO · pith_short_8: Y47UP37K

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/Y47UP37KPS2LHNWOHDNZM74OCJ \
  | 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: c73f47efea7cb4b3b6ce38db967f8e1254692dce48896ac268b94f64031e760a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c442c2fb6fbae8fe1451e4efc453ab71b8151b2ed2105bf847a25527af79846",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-03-29T05:58:33Z",
    "title_canon_sha256": "8135434eae3b284f30c5279f2f84625b8d4274977a4111aa2ff0b63e2777640b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.10933",
    "kind": "arxiv",
    "version": 1
  }
}