Pith Number

pith:VYRO4EF6

pith:2026:VYRO4EF6MQ6DIPC27NHWKVEYFZ

not attested not anchored not stored refs pending

Uniformly recurrent subalgebras in finite von Neumann algebras

Pierre Fima, Tattwamasi Amrutam, Yongle Jiang

arxiv:2606.09673 v1 · 2026-06-08 · math.OA · math.DS · math.FA · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VYRO4EF6MQ6DIPC27NHWKVEYFZ}

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	2026-06-09T02:09:03.080612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae22ee10be643c343c5afb4f6554982e70850ec019f297d9fe0d9d124088140b

Aliases

arxiv: 2606.09673 · arxiv_version: 2606.09673v1 · doi: 10.48550/arxiv.2606.09673 · pith_short_12: VYRO4EF6MQ6D · pith_short_16: VYRO4EF6MQ6DIPC2 · pith_short_8: VYRO4EF6

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/VYRO4EF6MQ6DIPC27NHWKVEYFZ \
  | 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: ae22ee10be643c343c5afb4f6554982e70850ec019f297d9fe0d9d124088140b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a8d90a0f3d09fa4dd38c2d8b67b0bff38793294840df6f83cc17836984adc65",
    "cross_cats_sorted": [
      "math.DS",
      "math.FA",
      "math.GN"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2026-06-08T15:54:44Z",
    "title_canon_sha256": "327b6b417138c61070fddd20712912b8ed8503e894566e496a0f5ac6a31fc44b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09673",
    "kind": "arxiv",
    "version": 1
  }
}