Pith Number

pith:MIZKNAED

pith:2012:MIZKNAEDA7KZBLVLD5HKOCE6WM

not attested not anchored not stored refs pending

Some consequences of von Neumann algebra uniqueness

Ping W. Ng, Thierry Giordano

arxiv:1208.0120 v1 · 2012-08-01 · 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{MIZKNAEDA7KZBLVLD5HKOCE6WM}

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	2026-05-18T03:49:36.227264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6232a6808307d590aeab1f4ea7089eb32733ed937471a0fb9d04729d44509b45

Aliases

arxiv: 1208.0120 · arxiv_version: 1208.0120v1 · doi: 10.48550/arxiv.1208.0120 · pith_short_12: MIZKNAEDA7KZ · pith_short_16: MIZKNAEDA7KZBLVL · pith_short_8: MIZKNAED

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/MIZKNAEDA7KZBLVLD5HKOCE6WM \
  | 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: 6232a6808307d590aeab1f4ea7089eb32733ed937471a0fb9d04729d44509b45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50efa72e4491266d7a605fecebec133248d371ea72bae0c3afe4b8a3a25a3632",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-08-01T07:04:27Z",
    "title_canon_sha256": "eca7f234308127c4fffbc05b93736c36252ebdd70d82861799ac057480675660"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0120",
    "kind": "arxiv",
    "version": 1
  }
}