Pith Number

pith:IMKDV65H

pith:2019:IMKDV65HPFCMHWG2QGPMMABWI3

not attested not anchored not stored refs pending

Characterizing groupoid C*-algebras of non-Hausdorff \'etale groupoids

D. Pitts, R. Exel

arxiv:1901.09683 v4 · 2019-01-28 · math.OA · math.DS

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IMKDV65HPFCMHWG2QGPMMABWI3}

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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.

Cited by

1 paper in Pith

Noncommutative Cartan C*-subalgebras

Receipt and verification

First computed	2026-07-05T05:09:10.350048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43143afba77944c3d8da819ec6003646d1c38eab22d81998e957b547c2b06fa8

Aliases

arxiv: 1901.09683 · arxiv_version: 1901.09683v4 · doi: 10.48550/arxiv.1901.09683 · pith_short_12: IMKDV65HPFCM · pith_short_16: IMKDV65HPFCMHWG2 · pith_short_8: IMKDV65H

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/IMKDV65HPFCMHWG2QGPMMABWI3 \
  | 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: 43143afba77944c3d8da819ec6003646d1c38eab22d81998e957b547c2b06fa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bbf64a07659bc913fda6e6c215430e6aab13164af8414746c12e5cd8485aeb4",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2019-01-28T14:28:57Z",
    "title_canon_sha256": "de6dc75c0e017cc5b93fc8d936eed4741205e9865218095afa82cecd9e8d5ead"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.09683",
    "kind": "arxiv",
    "version": 4
  }
}