Pith Number

pith:S2XUNI7O

pith:2016:S2XUNI7OP3F7VILX5MMOS7Y3XI

not attested not anchored not stored refs pending

Group C*-algebras without the completely bounded approximation property

Uffe Haagerup

arxiv:1603.00209 v1 · 2016-03-01 · 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{S2XUNI7OP3F7VILX5MMOS7Y3XI}

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	2026-05-18T01:19:45.581003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96af46a3ee7ecbfaa177eb18e97f1bba159258a86e81b6eb5f0d2d3c2147e45f

Aliases

arxiv: 1603.00209 · arxiv_version: 1603.00209v1 · doi: 10.48550/arxiv.1603.00209 · pith_short_12: S2XUNI7OP3F7 · pith_short_16: S2XUNI7OP3F7VILX · pith_short_8: S2XUNI7O

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/S2XUNI7OP3F7VILX5MMOS7Y3XI \
  | 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: 96af46a3ee7ecbfaa177eb18e97f1bba159258a86e81b6eb5f0d2d3c2147e45f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f129058f0c0a6ca8aef723d6abcbee8a29739db9544dc1f0bd767582a4532a0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-03-01T10:05:13Z",
    "title_canon_sha256": "2950cb973a31879f83adb2a8a8281bb56788b3527eb253daf08d11e4ff74155c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00209",
    "kind": "arxiv",
    "version": 1
  }
}