Pith Number

pith:AP6D5GWN

pith:2023:AP6D5GWNJEWKDXRC3IZYBCEARU

not attested not anchored not stored refs pending

Asymptotic freeness in tracial ultraproducts

Adrian Ioana, Cyril Houdayer

arxiv:2309.15029 v1 · 2023-09-26 · math.OA · math.FA · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AP6D5GWNJEWKDXRC3IZYBCEARU}

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.

Cited by

1 paper in Pith

Amenable absorption in von Neumann algebras of hyperbolic groups

Receipt and verification

First computed	2026-07-05T09:37:32.977089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03fc3e9acd492ca1de22da338088808d126547cdd28d8723ed2e75cbd0322db3

Aliases

arxiv: 2309.15029 · arxiv_version: 2309.15029v1 · doi: 10.48550/arxiv.2309.15029 · pith_short_12: AP6D5GWNJEWK · pith_short_16: AP6D5GWNJEWKDXRC · pith_short_8: AP6D5GWN

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/AP6D5GWNJEWKDXRC3IZYBCEARU \
  | 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: 03fc3e9acd492ca1de22da338088808d126547cdd28d8723ed2e75cbd0322db3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4f78ec245ec643f62ed3faa63d65deee7b61764df2f7fe86937190a0f4afbca",
    "cross_cats_sorted": [
      "math.FA",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2023-09-26T15:58:27Z",
    "title_canon_sha256": "f2747d2bcad943a2101b2372c11829a54b6bd6c3d9c68e8e1e7babaed50ce284"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.15029",
    "kind": "arxiv",
    "version": 1
  }
}