Pith Number

pith:W76XZYMO

pith:2018:W76XZYMOM44DREI652ZBUKNPLV

not attested not anchored not stored refs pending

The Dixmier-Douady Classes of Certain Groupoid $C^*$-Algebras with Continuous Trace

Aidan Sims, Alex Kumjian, Dana P. Williams, Marius Ionescu

arxiv:1801.00832 v1 · 2018-01-02 · 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{W76XZYMOM44DREI652ZBUKNPLV}

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	2026-05-18T00:26:48.664938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7fd7ce18e673838911eeeb21a29af5d591de6abd8099ea2d294b4aacf23e43f

Aliases

arxiv: 1801.00832 · arxiv_version: 1801.00832v1 · doi: 10.48550/arxiv.1801.00832 · pith_short_12: W76XZYMOM44D · pith_short_16: W76XZYMOM44DREI6 · pith_short_8: W76XZYMO

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/W76XZYMOM44DREI652ZBUKNPLV \
  | 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: b7fd7ce18e673838911eeeb21a29af5d591de6abd8099ea2d294b4aacf23e43f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65370ed2796e8c77cad4a5a22caa34e0bbc639f7a18e18837c0d1603230080f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-01-02T20:54:09Z",
    "title_canon_sha256": "b280a9d256d33c0b8a4dcaeed8541f3f3071207bb368c1559c8cee92093c2cde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.00832",
    "kind": "arxiv",
    "version": 1
  }
}