Pith Number

pith:T3U2GXIR

pith:2010:T3U2GXIRVLX3BRKXZGLWWEFSEE

not attested not anchored not stored refs pending

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

Norio Nawata

arxiv:1006.5501 v2 · 2010-06-29 · 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{T3U2GXIRVLX3BRKXZGLWWEFSEE}

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	2026-05-18T04:41:44.732619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ee9a35d11aaefb0c557c9976b10b2211da46c86403e43d4921bdb49dda80681

Aliases

arxiv: 1006.5501 · arxiv_version: 1006.5501v2 · doi: 10.48550/arxiv.1006.5501 · pith_short_12: T3U2GXIRVLX3 · pith_short_16: T3U2GXIRVLX3BRKX · pith_short_8: T3U2GXIR

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/T3U2GXIRVLX3BRKXZGLWWEFSEE \
  | 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: 9ee9a35d11aaefb0c557c9976b10b2211da46c86403e43d4921bdb49dda80681

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e7125822f557acc1d0939575ccd7212bdc7e4cf845474f11826657e55da64f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-06-29T03:54:50Z",
    "title_canon_sha256": "918af404cf16dcd968db2b77ef6fb146ae24eab9f539c630abd63ac3d4710bb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5501",
    "kind": "arxiv",
    "version": 2
  }
}