Pith Number

pith:A6PTOZCR

pith:2023:A6PTOZCRD5TLJ2GFAPYMHKVLQ4

not attested not anchored not stored refs pending

On the amenable subalgebras of group von Neumann algebras

Hanna Oppelmayer, Tattwamasi Amrutam, Yair Hartman

arxiv:2309.10494 v3 · 2023-09-19 · math.OA · math.DS · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A6PTOZCRD5TLJ2GFAPYMHKVLQ4}

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	2026-07-05T09:24:54.440152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

079f3764511f66b4e8c503f0c3aaab873a99f64972f26ead67170333cb2cbd8d

Aliases

arxiv: 2309.10494 · arxiv_version: 2309.10494v3 · doi: 10.48550/arxiv.2309.10494 · pith_short_12: A6PTOZCRD5TL · pith_short_16: A6PTOZCRD5TLJ2GF · pith_short_8: A6PTOZCR

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/A6PTOZCRD5TLJ2GFAPYMHKVLQ4 \
  | 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: 079f3764511f66b4e8c503f0c3aaab873a99f64972f26ead67170333cb2cbd8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55b7722bace67c0e812d0dac2c238296f5fd067d1223ec9f8d0edf93f04f8e25",
    "cross_cats_sorted": [
      "math.DS",
      "math.FA",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2023-09-19T10:09:30Z",
    "title_canon_sha256": "d32d5e69e2aa5a1af5af6e0573682e2cf7f1c834c01ce34d4183cf2f3a1e8f2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.10494",
    "kind": "arxiv",
    "version": 3
  }
}