Pith Number

pith:FE4DIOZA

pith:2016:FE4DIOZAEORRVH23G4WMWQ6TFX

not attested not anchored not stored refs pending

Solidity of type III Bernoulli crossed products

Amine Marrakchi

arxiv:1601.03666 v3 · 2016-01-14 · math.OA · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FE4DIOZAEORRVH23G4WMWQ6TFX}

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	2026-05-18T01:08:18.655828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2938343b2023a31a9f5b372ccb43d32dce3b68cc62005ab85539aa628484afb5

Aliases

arxiv: 1601.03666 · arxiv_version: 1601.03666v3 · doi: 10.48550/arxiv.1601.03666 · pith_short_12: FE4DIOZAEORR · pith_short_16: FE4DIOZAEORRVH23 · pith_short_8: FE4DIOZA

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/FE4DIOZAEORRVH23G4WMWQ6TFX \
  | 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: 2938343b2023a31a9f5b372ccb43d32dce3b68cc62005ab85539aa628484afb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47c804a89d4d59208fa882013c4db16843a1be74702bbed01e979fd0f13332a1",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-01-14T17:04:24Z",
    "title_canon_sha256": "7758d630ad52ebfbbde98a26d836943f03d0a6c3cc2714d33dcb1d259ad541df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03666",
    "kind": "arxiv",
    "version": 3
  }
}