Pith Number

pith:CFDKQ4DH

pith:2013:CFDKQ4DHOJYXSYYIZ3KS7DZBH5

not attested not anchored not stored refs pending

W*-algebras and noncommutative integration

Ryszard Pawe{\l} Kostecki

arxiv:1307.4818 v5 · 2013-07-18 · 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{CFDKQ4DHOJYXSYYIZ3KS7DZBH5}

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	2026-05-18T02:39:24.127369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1146a870677271796308ced52f8f213f5024b80fcbd7c7098160342c300a0ee1

Aliases

arxiv: 1307.4818 · arxiv_version: 1307.4818v5 · doi: 10.48550/arxiv.1307.4818 · pith_short_12: CFDKQ4DHOJYX · pith_short_16: CFDKQ4DHOJYXSYYI · pith_short_8: CFDKQ4DH

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/CFDKQ4DHOJYXSYYIZ3KS7DZBH5 \
  | 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: 1146a870677271796308ced52f8f213f5024b80fcbd7c7098160342c300a0ee1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5569116de885ee8f13760bbfb2170f9e50f6190e8745f809a9b559f21239bfdc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-07-18T03:12:20Z",
    "title_canon_sha256": "49f84941853fc69f41c1d6c9b23a10d2b53b032ee44084ccce0719db775bd313"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4818",
    "kind": "arxiv",
    "version": 5
  }
}