Pith Number

pith:NLACURLB

pith:2013:NLACURLBHZAB6HUCSYFI4RQMOE

not attested not anchored not stored refs pending

On Nuclearity of $C^*$-algebras of Fell bundles over \'etale groupoids

Takuya Takeishi

arxiv:1301.6883 v1 · 2013-01-29 · 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{NLACURLBHZAB6HUCSYFI4RQMOE}

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	2026-05-18T03:35:12.052976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ac02a45613e401f1e82960a8e460c710162e3bafe185f87ffba692f77d64515

Aliases

arxiv: 1301.6883 · arxiv_version: 1301.6883v1 · doi: 10.48550/arxiv.1301.6883 · pith_short_12: NLACURLBHZAB · pith_short_16: NLACURLBHZAB6HUC · pith_short_8: NLACURLB

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/NLACURLBHZAB6HUCSYFI4RQMOE \
  | 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: 6ac02a45613e401f1e82960a8e460c710162e3bafe185f87ffba692f77d64515

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b7d5c3e5a66165b2e401a407b36e4977efcfe62f7d5275420b25e269eb56cae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-01-29T10:20:55Z",
    "title_canon_sha256": "e848b3d23a55399c204cc7608688e4daffd2a040d0d2993a0ea3dd8d978560b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6883",
    "kind": "arxiv",
    "version": 1
  }
}