Pith Number

pith:7XZ6KFG7

pith:2012:7XZ6KFG7Q2JQLIU47VNDC6PG4A

not attested not anchored not stored refs pending

Picard groups of certain stably projectionless C*-algebras

Norio Nawata

arxiv:1207.1930 v3 · 2012-07-09 · 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{7XZ6KFG7Q2JQLIU47VNDC6PG4A}

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	2026-05-18T02:57:53.402137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdf3e514df869305a29cfd5a3179e6e0105044c1424a1348026e73794d219236

Aliases

arxiv: 1207.1930 · arxiv_version: 1207.1930v3 · doi: 10.48550/arxiv.1207.1930 · pith_short_12: 7XZ6KFG7Q2JQ · pith_short_16: 7XZ6KFG7Q2JQLIU4 · pith_short_8: 7XZ6KFG7

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/7XZ6KFG7Q2JQLIU47VNDC6PG4A \
  | 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: fdf3e514df869305a29cfd5a3179e6e0105044c1424a1348026e73794d219236

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "230cc6e1dc80030dbd7719efdd708728bb50be606bec10f4df1453aff996b5cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-07-09T00:50:08Z",
    "title_canon_sha256": "502198e84d0ce032da7bbb946aeaf70f4e3fd3c689e2ed02e466b9b6b24684ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1930",
    "kind": "arxiv",
    "version": 3
  }
}