Pith Number

pith:QPM76E2V

pith:2013:QPM76E2V4CEXDYEIBP3WY2ABG6

not attested not anchored not stored refs pending

Crossed products of C*-algebras with the weak expectation property

Angshuman Bhattacharya, Douglas Farenick

arxiv:1307.2595 v1 · 2013-07-09 · 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{QPM76E2V4CEXDYEIBP3WY2ABG6}

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	2026-05-18T03:17:35.140434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83d9ff1355e08971e0880bf76c680137810d0643ee457c7e76226bfaaed2b054

Aliases

arxiv: 1307.2595 · arxiv_version: 1307.2595v1 · doi: 10.48550/arxiv.1307.2595 · pith_short_12: QPM76E2V4CEX · pith_short_16: QPM76E2V4CEXDYEI · pith_short_8: QPM76E2V

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/QPM76E2V4CEXDYEIBP3WY2ABG6 \
  | 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: 83d9ff1355e08971e0880bf76c680137810d0643ee457c7e76226bfaaed2b054

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d785be08b5f12ac8ae5b78771323503e8a6df5659ef4e8281383628cea44d8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-07-09T20:50:52Z",
    "title_canon_sha256": "19902eb8c4230cf0cd03e8bc11ea02e8969d2069a36daa3494617ed01a5b90de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2595",
    "kind": "arxiv",
    "version": 1
  }
}