Pith Number

pith:WTJNDVC6

pith:2017:WTJNDVC6GFJKQ3UJX3HUI5ZOIH

not attested not anchored not stored refs pending

Kirchberg's factorization property for locally compact groups

Matthew Wiersma

arxiv:1709.09272 v1 · 2017-09-26 · 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{WTJNDVC6GFJKQ3UJX3HUI5ZOIH}

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	2026-05-18T00:34:12.344804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4d2d1d45e3152a86e89becf44772e41f0d829c44ff34b1f1371525bdcc02a7f

Aliases

arxiv: 1709.09272 · arxiv_version: 1709.09272v1 · doi: 10.48550/arxiv.1709.09272 · pith_short_12: WTJNDVC6GFJK · pith_short_16: WTJNDVC6GFJKQ3UJ · pith_short_8: WTJNDVC6

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/WTJNDVC6GFJKQ3UJX3HUI5ZOIH \
  | 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: b4d2d1d45e3152a86e89becf44772e41f0d829c44ff34b1f1371525bdcc02a7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee39c5079cd1a89d0de54bb6b2ab2ccbc8134058be3e9c93bd493c4cc47e0f60",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-09-26T22:05:10Z",
    "title_canon_sha256": "705b271a1a0538e50a139d4271bc520d9ed07123e732af44a8fb4cab3e37cda9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09272",
    "kind": "arxiv",
    "version": 1
  }
}