Pith Number

pith:LPLZVOBM

pith:2013:LPLZVOBMVF24CA3APTSIY2WDQD

not attested not anchored not stored refs pending

Simple Lie groups without the Approximation Property II

Tim de Laat, Uffe Haagerup

arxiv:1307.2526 v2 · 2013-07-09 · math.OA · math.FA · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LPLZVOBMVF24CA3APTSIY2WDQD}

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	2026-05-18T01:20:18.008048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bd79ab82ca975c103607ce48c6ac380da1707761ddf3d68611daa0fc9910303

Aliases

arxiv: 1307.2526 · arxiv_version: 1307.2526v2 · doi: 10.48550/arxiv.1307.2526 · pith_short_12: LPLZVOBMVF24 · pith_short_16: LPLZVOBMVF24CA3A · pith_short_8: LPLZVOBM

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/LPLZVOBMVF24CA3APTSIY2WDQD \
  | 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: 5bd79ab82ca975c103607ce48c6ac380da1707761ddf3d68611daa0fc9910303

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43a46007bc27ebca98d940f42297eed3237a01f48f5e234a2782486e2da1058d",
    "cross_cats_sorted": [
      "math.FA",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-07-09T17:51:41Z",
    "title_canon_sha256": "0684deabd12c9c26a09e758229c6545181942c843bb36214fc42e98aedeae37c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2526",
    "kind": "arxiv",
    "version": 2
  }
}