Pith Number

pith:JTM7WYON

pith:2026:JTM7WYONBSPE5IKNNZPKIQFDZA

not attested not anchored not stored refs pending

A Three-Dimensional Operator System without the Smith--Ward Property

Marcel Scherer

arxiv:2607.04274 v1 · 2026-07-05 · math.OA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JTM7WYONBSPE5IKNNZPKIQFDZA}

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	2026-07-07T02:19:06.546908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cd9fb61cd0c9e4ea14d6e5ea440a3c839e1e23495365381a5f30b1810e0e8ef

Aliases

arxiv: 2607.04274 · arxiv_version: 2607.04274v1 · doi: 10.48550/arxiv.2607.04274 · pith_short_12: JTM7WYONBSPE · pith_short_16: JTM7WYONBSPE5IKN · pith_short_8: JTM7WYON

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/JTM7WYONBSPE5IKNNZPKIQFDZA \
  | 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: 4cd9fb61cd0c9e4ea14d6e5ea440a3c839e1e23495365381a5f30b1810e0e8ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "884d926e2d526c0e0321ec12c5622872f8fd398ea147ddedc55057419b040510",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2026-07-05T12:38:10Z",
    "title_canon_sha256": "ac9d93ff09694ecbbde6146dc8fcdad16ba73a66025ff94de33d123536bb66fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04274",
    "kind": "arxiv",
    "version": 1
  }
}