Pith Number

pith:IR2PGIHX

pith:2014:IR2PGIHXMFNCM6SFFUYAFF7TUJ

not attested not anchored not stored refs pending

Classification of type III Bernoulli crossed products

Peter Verraedt, Stefaan Vaes

arxiv:1408.6414 v2 · 2014-08-27 · 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{IR2PGIHXMFNCM6SFFUYAFF7TUJ}

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	2026-05-18T02:03:55.365602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4474f320f7615a267a452d300297f3a24c407a4ce3d205dd0309ef6521546309

Aliases

arxiv: 1408.6414 · arxiv_version: 1408.6414v2 · doi: 10.48550/arxiv.1408.6414 · pith_short_12: IR2PGIHXMFNC · pith_short_16: IR2PGIHXMFNCM6SF · pith_short_8: IR2PGIHX

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/IR2PGIHXMFNCM6SFFUYAFF7TUJ \
  | 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: 4474f320f7615a267a452d300297f3a24c407a4ce3d205dd0309ef6521546309

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "802796411f640b0c421ab1846124fc30b91464ff50785ed2a93379a223e95021",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-08-27T13:57:01Z",
    "title_canon_sha256": "753c85ffce1517cdc5ac74a8034e3990079412bbe241362815e188f888677f6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.6414",
    "kind": "arxiv",
    "version": 2
  }
}