Pith Number

pith:JOKS3BLN

pith:2009:JOKS3BLNLFN33TPNNT3ABVO5AP

not attested not anchored not stored refs pending

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

Norio Nawata, Yasuo Watatani

arxiv:0911.0238 v2 · 2009-11-02 · 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{JOKS3BLNLFN33TPNNT3ABVO5AP}

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	2026-07-04T17:30:46.353506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b952d856d595bbdcded6cf600d5dd03fe57becd6caea46aaa233f00bb22611c

Aliases

arxiv: 0911.0238 · arxiv_version: 0911.0238v2 · doi: 10.48550/arxiv.0911.0238 · pith_short_12: JOKS3BLNLFN3 · pith_short_16: JOKS3BLNLFN33TPN · pith_short_8: JOKS3BLN

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/JOKS3BLNLFN33TPNNT3ABVO5AP \
  | 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: 4b952d856d595bbdcded6cf600d5dd03fe57becd6caea46aaa233f00bb22611c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccaa1c93320057e86da925be6b91cfa3138685dda0961f5ae6f9e0077c03bb02",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-11-02T05:36:26Z",
    "title_canon_sha256": "eb282396f4000daa1310f61c1331b83af9bba2b44051c16a77434de08ea4c8ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0238",
    "kind": "arxiv",
    "version": 2
  }
}