Pith Number

pith:RQXLHWVB

pith:2009:RQXLHWVBEKQVEIVZ5YGBUGPQIP

not attested not anchored not stored refs pending

Fundamental group of simple $C^*$-algebras with unique trace

Norio Nawata, Yasuo Watatani

arxiv:0904.1081 v1 · 2009-04-07 · math.OA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RQXLHWVBEKQVEIVZ5YGBUGPQIP}

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	2026-07-04T15:40:45.003712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c2eb3daa122a15222b9ee0c1a19f043f3ad912c623a8ebaf241b7f61fd5eb39

Aliases

arxiv: 0904.1081 · arxiv_version: 0904.1081v1 · doi: 10.48550/arxiv.0904.1081 · pith_short_12: RQXLHWVBEKQV · pith_short_16: RQXLHWVBEKQVEIVZ · pith_short_8: RQXLHWVB

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/RQXLHWVBEKQVEIVZ5YGBUGPQIP \
  | 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: 8c2eb3daa122a15222b9ee0c1a19f043f3ad912c623a8ebaf241b7f61fd5eb39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ce285ad8e8fa569d5c6055409d07543dcc62a92dba01ef79b3fed0cbec41622",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-04-07T08:53:43Z",
    "title_canon_sha256": "42c6f617bed60046074c94e258ada3527934ea89539d28969de1e16228448497"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.1081",
    "kind": "arxiv",
    "version": 1
  }
}