Pith Number

pith:QZCUXTVG

pith:2017:QZCUXTVGG5HG6COD7VW24AAJBD

not attested not anchored not stored refs pending

Stable rank for crossed products by actions of finite groups on C*-algebras

Hiroyuki Osaka

arxiv:1708.02665 v1 · 2017-08-08 · 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{QZCUXTVGG5HG6COD7VW24AAJBD}

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	2026-05-18T00:38:20.000863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86454bcea6374e6f09c3fd6dae000908d2e2f9f2a4fc69a1f2668e3680a39ece

Aliases

arxiv: 1708.02665 · arxiv_version: 1708.02665v1 · doi: 10.48550/arxiv.1708.02665 · pith_short_12: QZCUXTVGG5HG · pith_short_16: QZCUXTVGG5HG6COD · pith_short_8: QZCUXTVG

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/QZCUXTVGG5HG6COD7VW24AAJBD \
  | 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: 86454bcea6374e6f09c3fd6dae000908d2e2f9f2a4fc69a1f2668e3680a39ece

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "082bea63477d46e665ef48845483f16b5de7afa7b5d37c9db0c0f063a4755af5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-08-08T22:17:24Z",
    "title_canon_sha256": "4b14e50d31e144c0d7cf9682b40a2c6b528e8b35031e0b03ac34cdcba04bd3ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02665",
    "kind": "arxiv",
    "version": 1
  }
}