Pith Number

pith:ISUY5XSR

pith:1993:ISUY5XSRS5OUTI2XIXCKQLGZ57

not attested not anchored not stored refs pending

Factoriality and the Connes invariant T(M) for free products of von Neumann algebras

Kenneth J. Dykema

arxiv:funct-an/9302005 v2 · 1993-02-22 · funct-an · 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{ISUY5XSRS5OUTI2XIXCKQLGZ57}

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	2026-05-18T01:06:48.443181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44a98ede51975d49a35745c4a82cd9efd7ee21972bde306328433af126f63e72

Aliases

arxiv: funct-an/9302005 · arxiv_version: funct-an/9302005v2 · doi: 10.48550/arxiv.funct-an/9302005 · pith_short_12: ISUY5XSRS5OU · pith_short_16: ISUY5XSRS5OUTI2X · pith_short_8: ISUY5XSR

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/ISUY5XSRS5OUTI2XIXCKQLGZ57 \
  | 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: 44a98ede51975d49a35745c4a82cd9efd7ee21972bde306328433af126f63e72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ca7f15c872d5ef450115881a25c858037990d970cf6b15051e00fda18a82c8b",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "funct-an",
    "submitted_at": "1993-02-22T20:57:56Z",
    "title_canon_sha256": "c0ccfa501b20ff5d86678e45555edd9560ac7d32ade79a6eec3ee5e3ae3c635e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "funct-an/9302005",
    "kind": "arxiv",
    "version": 2
  }
}