Pith Number

pith:QZLB5OTU

pith:2015:QZLB5OTUUQ3NFYQSEAD5QVVAQR

not attested not anchored not stored refs pending

C*-simplicity and the amenable radical

Adrien Le Boudec

arxiv:1507.03452 v4 · 2015-07-13 · math.GR · 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{QZLB5OTUUQ3NFYQSEAD5QVVAQR}

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	2026-05-18T01:00:53.819977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86561eba74a436d2e2122007d856a084510bf635dd23bbaeb23010d1286eae3a

Aliases

arxiv: 1507.03452 · arxiv_version: 1507.03452v4 · doi: 10.48550/arxiv.1507.03452 · pith_short_12: QZLB5OTUUQ3N · pith_short_16: QZLB5OTUUQ3NFYQS · pith_short_8: QZLB5OTU

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/QZLB5OTUUQ3NFYQSEAD5QVVAQR \
  | 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: 86561eba74a436d2e2122007d856a084510bf635dd23bbaeb23010d1286eae3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56f41463f20e266c7c94e11a8c16a143ebbbcfdcd07592590b1bbb4bf87cd153",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-07-13T13:32:33Z",
    "title_canon_sha256": "cf38b4aabd92365836076954c65b742b5e1e35907db9094eae04e8f1efea7338"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03452",
    "kind": "arxiv",
    "version": 4
  }
}