Pith Number

pith:53Z3QZLW

pith:2010:53Z3QZLWMPUJXPZ3PHQDIMWX7L

not attested not anchored not stored refs pending

Abelian subalgebras and the Jordan structure of a von Neumann algebra

Andreas Doering, John Harding

arxiv:1009.4945 v2 · 2010-09-24 · math-ph · math.MP · math.OA · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{53Z3QZLWMPUJXPZ3PHQDIMWX7L}

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.

Cited by

1 paper in Pith

Topos-Theoretic Approaches to Quantum Theory

Receipt and verification

First computed	2026-05-18T03:05:28.747446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eef3b8657663e89bbf3b79e03432d7faec9e8700b8100da1bc7df00bd0ff7de5

Aliases

arxiv: 1009.4945 · arxiv_version: 1009.4945v2 · doi: 10.48550/arxiv.1009.4945 · pith_short_12: 53Z3QZLWMPUJ · pith_short_16: 53Z3QZLWMPUJXPZ3 · pith_short_8: 53Z3QZLW

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/53Z3QZLWMPUJXPZ3PHQDIMWX7L \
  | 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: eef3b8657663e89bbf3b79e03432d7faec9e8700b8100da1bc7df00bd0ff7de5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ea4d583682f387158b4c9048dbbe32c70eeaf82f2281a54ee3000b53c6882c0",
    "cross_cats_sorted": [
      "math.MP",
      "math.OA",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-09-24T21:00:34Z",
    "title_canon_sha256": "1cdb8dc342bf8f0578c56d7e68e44ccc9096d7f84bb5ef919aa6519521ea95ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4945",
    "kind": "arxiv",
    "version": 2
  }
}