Pith Number

pith:CU4J5IK2

pith:2022:CU4J5IK2B4H3AIGREKQXFOK4TM

not attested not anchored not stored refs pending

Alexandrov groupoids and the nuclear dimension of twisted groupoid $\mathrm{C}^*$-algebras

Anna Duwenig, Astrid an Huef, Kristin Courtney, Magdalena C. Georgescu, Maria Grazia Viola

arxiv:2211.00547 v4 · 2022-11-01 · 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{CU4J5IK2B4H3AIGREKQXFOK4TM}

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	2026-07-05T07:46:14.575440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15389ea15a0f0fb020d122a172b95c9b1d59615e5cd279d42899ece7bb15a25a

Aliases

arxiv: 2211.00547 · arxiv_version: 2211.00547v4 · doi: 10.48550/arxiv.2211.00547 · pith_short_12: CU4J5IK2B4H3 · pith_short_16: CU4J5IK2B4H3AIGR · pith_short_8: CU4J5IK2

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/CU4J5IK2B4H3AIGREKQXFOK4TM \
  | 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: 15389ea15a0f0fb020d122a172b95c9b1d59615e5cd279d42899ece7bb15a25a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35fe270f6ed3f09316234d7d3874a5085263ee659f5ea62e9f83975270020467",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2022-11-01T15:54:46Z",
    "title_canon_sha256": "8e445c74783d782ab7c2a5047b62c3d0d0c0c5b7ab360c551baff238a4dc760d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.00547",
    "kind": "arxiv",
    "version": 4
  }
}