Pith Number

pith:WFVBG6XF

pith:2014:WFVBG6XFYZLXXPJ3FZOVO5MA7W

not attested not anchored not stored refs pending

Free independence in ultraproduct von Neumann algebras and applications

Cyril Houdayer, Yusuke Isono

arxiv:1408.5736 v2 · 2014-08-25 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WFVBG6XFYZLXXPJ3FZOVO5MA7W}

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	2026-05-18T01:36:15.467965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b16a137ae5c6577bbd3b2e5d577580fd87d4b1dc1e471930b226b926b92bca5f

Aliases

arxiv: 1408.5736 · arxiv_version: 1408.5736v2 · doi: 10.48550/arxiv.1408.5736 · pith_short_12: WFVBG6XFYZLX · pith_short_16: WFVBG6XFYZLXXPJ3 · pith_short_8: WFVBG6XF

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/WFVBG6XFYZLXXPJ3FZOVO5MA7W \
  | 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: b16a137ae5c6577bbd3b2e5d577580fd87d4b1dc1e471930b226b926b92bca5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b4dc1692bc41d34c2b5d24230798c4c60685d2facf0dd3bf9244a4ce3016354",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-08-25T12:39:36Z",
    "title_canon_sha256": "e597804ca3aeb57a8a3dd3cc6061b01d893ef4e08a451996091245927d55062b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5736",
    "kind": "arxiv",
    "version": 2
  }
}