Pith Number

pith:JOC2VWQM

pith:2015:JOC2VWQMLOTPBVBEV2XLSBOFRI

not attested not anchored not stored refs pending

Generalized $q$-Gaussian von Neumann algebras with coefficients, III. Unique prime factorization results

Bogdan Udrea, Marius Junge

arxiv:1509.08832 v1 · 2015-09-29 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JOC2VWQMLOTPBVBEV2XLSBOFRI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:31:47.004063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b85aada0c5ba6f0d424aeaeb905c58a286c0065f7151a7c5489fd4a817f4259

Aliases

arxiv: 1509.08832 · arxiv_version: 1509.08832v1 · doi: 10.48550/arxiv.1509.08832 · pith_short_12: JOC2VWQMLOTP · pith_short_16: JOC2VWQMLOTPBVBE · pith_short_8: JOC2VWQM

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/JOC2VWQMLOTPBVBEV2XLSBOFRI \
  | 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: 4b85aada0c5ba6f0d424aeaeb905c58a286c0065f7151a7c5489fd4a817f4259

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98001e5452a262ff4334cb6dcae96b284335c471d2310e0e9ae3e1b51d62041e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-09-29T16:26:39Z",
    "title_canon_sha256": "86dfb48bcb59c0f88f4990a258abe608bceb36f6917e568b42d7f53c541547d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08832",
    "kind": "arxiv",
    "version": 1
  }
}