Pith Number

pith:7CWX7PAU

pith:2012:7CWX7PAUWUELOE6HRVLWTFTVLR

not attested not anchored not stored refs pending

Exotic group C*-algebras in noncommutative duality

John Quigg, Magnus B. Landstad, S. Kaliszewski

arxiv:1211.4982 v2 · 2012-11-21 · 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{7CWX7PAUWUELOE6HRVLWTFTVLR}

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	2026-05-18T03:14:39.301115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8ad7fbc14b508b713c78d576996755c641912e50dfa3f157dcc3bc6d4dc0711

Aliases

arxiv: 1211.4982 · arxiv_version: 1211.4982v2 · doi: 10.48550/arxiv.1211.4982 · pith_short_12: 7CWX7PAUWUEL · pith_short_16: 7CWX7PAUWUELOE6H · pith_short_8: 7CWX7PAU

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/7CWX7PAUWUELOE6HRVLWTFTVLR \
  | 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: f8ad7fbc14b508b713c78d576996755c641912e50dfa3f157dcc3bc6d4dc0711

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc05a1ee1a452f6b31ec0b5e6f28f817886e0150ba0d15e68bbf986c2ca2a588",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-11-21T10:24:08Z",
    "title_canon_sha256": "2dd8e78865254997bdc1e26136491ed4fce844dd2310ca2bdb5bb3058dedbe0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4982",
    "kind": "arxiv",
    "version": 2
  }
}