Pith Number

pith:GTY2TL4I

pith:2017:GTY2TL4IAC2MQJ22IPSNQCXYDK

not attested not anchored not stored refs pending

A new proof of Kirchberg's $\mathcal O_2$-stable classification

James Gabe

arxiv:1706.03690 v2 · 2017-06-12 · 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{GTY2TL4IAC2MQJ22IPSNQCXYDK}

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	2026-05-18T00:19:04.024051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34f1a9af8800b4c8275a43e4d80af81aa276f12a1fe212f79ae471f85c7b8a6f

Aliases

arxiv: 1706.03690 · arxiv_version: 1706.03690v2 · doi: 10.48550/arxiv.1706.03690 · pith_short_12: GTY2TL4IAC2M · pith_short_16: GTY2TL4IAC2MQJ22 · pith_short_8: GTY2TL4I

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/GTY2TL4IAC2MQJ22IPSNQCXYDK \
  | 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: 34f1a9af8800b4c8275a43e4d80af81aa276f12a1fe212f79ae471f85c7b8a6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2b17551982ebdec02f61a0d8e29dded337cfe134baaefb020437ab2882c7266",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-06-12T15:33:44Z",
    "title_canon_sha256": "893c50e086454ec8bf49a132a782ea44408a06e93f262240cfd31e7ed193af10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.03690",
    "kind": "arxiv",
    "version": 2
  }
}