Pith Number

pith:GIHNMKM6

pith:2015:GIHNMKM6CU7J3AKVZ6WY5SNGNS

not attested not anchored not stored refs pending

Cartan subalgebras in C*-algebras of Hausdorff etale groupoids

Aidan Sims, Dana P. Williams, Gabriel Nagy, Jonathan H. Brown, Sarah Reznikoff

arxiv:1503.03521 v3 · 2015-03-11 · 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{GIHNMKM6CU7J3AKVZ6WY5SNGNS}

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	2026-05-18T01:15:53.067228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

320ed6299e153e9d8155cfad8ec9a66cb4e249b56c0307e13d243e0c4bb65488

Aliases

arxiv: 1503.03521 · arxiv_version: 1503.03521v3 · doi: 10.48550/arxiv.1503.03521 · pith_short_12: GIHNMKM6CU7J · pith_short_16: GIHNMKM6CU7J3AKV · pith_short_8: GIHNMKM6

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/GIHNMKM6CU7J3AKVZ6WY5SNGNS \
  | 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: 320ed6299e153e9d8155cfad8ec9a66cb4e249b56c0307e13d243e0c4bb65488

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ba3326dd5ba7af9cb4b1900df39ab73bac5b30d09c7d0ea653444959f9b202e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-03-11T22:12:01Z",
    "title_canon_sha256": "3704ef9dc7dae8292b01384f58b73f5b726dfe9e2d8be773b749b360ed3cdd67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03521",
    "kind": "arxiv",
    "version": 3
  }
}