Pith Number

pith:Q7AVMNS6

pith:2024:Q7AVMNS6RI74GQ7ZPKNCYDMHJ5

not attested not anchored not stored refs pending

Simplices of maximally amenable extensions in II$_1$ factors

Gregory Patchell, Srivatsav Kunnawalkam Elayavalli

arxiv:2410.11788 v1 · 2024-10-15 · math.OA · math.GR

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q7AVMNS6RI74GQ7ZPKNCYDMHJ5}

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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.

Cited by

1 paper in Pith

Amenable absorption in von Neumann algebras of hyperbolic groups

Receipt and verification

First computed	2026-07-05T09:20:58.939848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87c156365e8a3fc343f97a9a2c0d874f4f94454c5492be552a64b1f6c16de311

Aliases

arxiv: 2410.11788 · arxiv_version: 2410.11788v1 · doi: 10.48550/arxiv.2410.11788 · pith_short_12: Q7AVMNS6RI74 · pith_short_16: Q7AVMNS6RI74GQ7Z · pith_short_8: Q7AVMNS6

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/Q7AVMNS6RI74GQ7ZPKNCYDMHJ5 \
  | 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: 87c156365e8a3fc343f97a9a2c0d874f4f94454c5492be552a64b1f6c16de311

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60766880c0a3ecced4af694f87f7d09cd90538081e1fb008a2b52b7389d3af1f",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2024-10-15T17:09:27Z",
    "title_canon_sha256": "ea59ec0315b081fcb76bb273e2892f73c83cc9d869ad7dcbccee82142005aa6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.11788",
    "kind": "arxiv",
    "version": 1
  }
}