Pith Number

pith:PFQMJVRR

pith:2017:PFQMJVRRLVBPE7US3LJP5H3VC4

not attested not anchored not stored refs pending

Ideal structure and pure infiniteness of ample groupoid $C^*$-algebras

Christian B\"onicke, Kang Li

arxiv:1707.03740 v2 · 2017-07-12 · 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{PFQMJVRRLVBPE7US3LJP5H3VC4}

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	2026-05-17T23:55:29.896444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7960c4d6315d42f27e92dad2fe9f7517120460ba83b13078dc9f7b8fa102249f

Aliases

arxiv: 1707.03740 · arxiv_version: 1707.03740v2 · doi: 10.48550/arxiv.1707.03740 · pith_short_12: PFQMJVRRLVBP · pith_short_16: PFQMJVRRLVBPE7US · pith_short_8: PFQMJVRR

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/PFQMJVRRLVBPE7US3LJP5H3VC4 \
  | 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: 7960c4d6315d42f27e92dad2fe9f7517120460ba83b13078dc9f7b8fa102249f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf48cb965dc7dcff3bb07b83c85f4964bc663ff45a5c904d3a6108c895211853",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-07-12T14:36:14Z",
    "title_canon_sha256": "18c3658ee45c8cdaf93055a95aefa214544437c6c602d4ef9afee7c49c0ba0df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03740",
    "kind": "arxiv",
    "version": 2
  }
}