Pith Number

pith:P2MMIRUG

pith:2010:P2MMIRUGN3K3DGTUDARAJ3DNLK

not attested not anchored not stored refs pending

A class of superrigid group von Neumann algebras

Adrian Ioana, Sorin Popa, Stefaan Vaes

arxiv:1007.1412 v3 · 2010-07-08 · math.OA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P2MMIRUGN3K3DGTUDARAJ3DNLK}

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	2026-05-18T03:48:34.521394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e98c446866ed5b19a74182204ec6d5aa796acd3bc76526ba1871da1c2e0a726

Aliases

arxiv: 1007.1412 · arxiv_version: 1007.1412v3 · doi: 10.48550/arxiv.1007.1412 · pith_short_12: P2MMIRUGN3K3 · pith_short_16: P2MMIRUGN3K3DGTU · pith_short_8: P2MMIRUG

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/P2MMIRUGN3K3DGTUDARAJ3DNLK \
  | 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: 7e98c446866ed5b19a74182204ec6d5aa796acd3bc76526ba1871da1c2e0a726

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86d41176cd3c7e59d60c9cd4aebd687d8aef0d1f4a9e95bcbfac1f342b1a2c49",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-07-08T16:14:46Z",
    "title_canon_sha256": "b6a8cfe0ba3e5303cca95e272aa68d23a00f25d41e3350c3f6d7139d1c3e3e1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1412",
    "kind": "arxiv",
    "version": 3
  }
}