Pith Number

pith:76V6IOK7

pith:2018:76V6IOK72RDDSFH5GTGQGMWOIL

not attested not anchored not stored refs pending

Cartan subalgebras in uniform Roe algebras

Rufus Willett, Stuart White

arxiv:1808.04410 v2 · 2018-08-13 · math.OA · math.DS · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{76V6IOK72RDDSFH5GTGQGMWOIL}

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.

Cited by

1 paper in Pith

Quasi-local Algebras and Asymptotic Expanders

Receipt and verification

First computed	2026-07-05T02:29:07.552168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffabe4395fd4463914fd34cd0332ce42edb48cfa7c5217533da059b38b9a40b0

Aliases

arxiv: 1808.04410 · arxiv_version: 1808.04410v2 · doi: 10.48550/arxiv.1808.04410 · pith_short_12: 76V6IOK72RDD · pith_short_16: 76V6IOK72RDDSFH5 · pith_short_8: 76V6IOK7

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/76V6IOK72RDDSFH5GTGQGMWOIL \
  | 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: ffabe4395fd4463914fd34cd0332ce42edb48cfa7c5217533da059b38b9a40b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc3c958ea5c7f9a4c82d995690f2b2354dad41f197ade46cf8a00cf5cb23c1bb",
    "cross_cats_sorted": [
      "math.DS",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-08-13T19:19:56Z",
    "title_canon_sha256": "23042e9fc6af419033f04f0058a2d2bcf5f09e0d5a486343aa49fcfde4cfb899"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04410",
    "kind": "arxiv",
    "version": 2
  }
}