Pith Number

pith:QVAJZFU5

pith:2025:QVAJZFU5UGCV6MSI5FFWDQ37VX

not attested not anchored not stored refs pending

The atoms of graph product von Neumann algebras

David Jekel, Ian Charlesworth

arxiv:2506.09000 v1 · 2025-06-10 · math.OA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QVAJZFU5UGCV6MSI5FFWDQ37VX}

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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.

Cited by

1 paper in Pith

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications

Receipt and verification

First computed	2026-07-05T11:19:16.657366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85409c969da1855f3248e94b61c37fadd1ea9d58a35bdd0dd60edaecf715e5f1

Aliases

arxiv: 2506.09000 · arxiv_version: 2506.09000v1 · doi: 10.48550/arxiv.2506.09000 · pith_short_12: QVAJZFU5UGCV · pith_short_16: QVAJZFU5UGCV6MSI · pith_short_8: QVAJZFU5

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/QVAJZFU5UGCV6MSI5FFWDQ37VX \
  | 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: 85409c969da1855f3248e94b61c37fadd1ea9d58a35bdd0dd60edaecf715e5f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "068d53e98a3ed50ca2583eb6ba88aa72552e66dfbe28c4a0f500ea4bf727035e",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2025-06-10T17:20:17Z",
    "title_canon_sha256": "a5860194100aecb3e807fa7560a716425ac8e7c102322d132cfc218b9ea52b6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.09000",
    "kind": "arxiv",
    "version": 1
  }
}