Pith Number

pith:DN5ZZ2RY

pith:2017:DN5ZZ2RYRH5BOXEODPWCXXB754

not attested not anchored not stored refs pending

Amenability and uniform Roe algebras

Fernando Lled\'o, Jianchao Wu, Kang Li, Pere Ara

arxiv:1706.04875 v2 · 2017-06-15 · math.OA · math.FA · 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{DN5ZZ2RYRH5BOXEODPWCXXB754}

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	2026-05-18T00:08:48.576055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b7b9cea3889fa175c8e1bec2bdc3fef372420ff61f12f50bb09f4d5981a6dfd

Aliases

arxiv: 1706.04875 · arxiv_version: 1706.04875v2 · doi: 10.48550/arxiv.1706.04875 · pith_short_12: DN5ZZ2RYRH5B · pith_short_16: DN5ZZ2RYRH5BOXEO · pith_short_8: DN5ZZ2RY

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/DN5ZZ2RYRH5BOXEODPWCXXB754 \
  | 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: 1b7b9cea3889fa175c8e1bec2bdc3fef372420ff61f12f50bb09f4d5981a6dfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa2e6d47328e89f22ebcbaccd34d7ccfacd3533bf6f3a7c9fbb9de2493a268e4",
    "cross_cats_sorted": [
      "math.FA",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-06-15T14:04:32Z",
    "title_canon_sha256": "b0cdf9cc5661d5966285975f2e4283fcbe1c40a7eb0fe53ed7e39b154dba487e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04875",
    "kind": "arxiv",
    "version": 2
  }
}