Pith Number

pith:WGLK7SGP

pith:2025:WGLK7SGPC7K7RZKMAEHA5FRKMA

not attested not anchored not stored refs pending

Free products and rescalings involving non-separable abelian von Neumann algebras

Junchen Zhao, Ken Dykema

arxiv:2502.08595 v1 · 2025-02-12 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WGLK7SGPC7K7RZKMAEHA5FRKMA}

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	2026-07-05T10:13:25.090027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b196afc8cf17d5f8e54c010e0e962a60019fdb6d641b2cad69601af0c99f9bf2

Aliases

arxiv: 2502.08595 · arxiv_version: 2502.08595v1 · doi: 10.48550/arxiv.2502.08595 · pith_short_12: WGLK7SGPC7K7 · pith_short_16: WGLK7SGPC7K7RZKM · pith_short_8: WGLK7SGP

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/WGLK7SGPC7K7RZKMAEHA5FRKMA \
  | 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: b196afc8cf17d5f8e54c010e0e962a60019fdb6d641b2cad69601af0c99f9bf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "976092994924a4017c60d0cba21d58be38e74a39c663edd11c776decb002922a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2025-02-12T17:32:33Z",
    "title_canon_sha256": "4799c4c30b1021f48c2c53bbb00037e937450f85bffa1fc8e2d56b7e60320528"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.08595",
    "kind": "arxiv",
    "version": 1
  }
}