Pith Number

pith:Z74HOGWB

pith:2013:Z74HOGWBA3KFHS6Q7E3WLL7SGX

not attested not anchored not stored refs pending

Hypercontractivity in group von Neumann algebras

Carlos Palazuelos, Javier Parcet, Marius Junge, Mathilde Perrin

arxiv:1304.5789 v1 · 2013-04-21 · math.OA · math.CA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z74HOGWBA3KFHS6Q7E3WLL7SGX}

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	2026-05-18T03:27:24.141114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cff8771ac106d453cbd0f93765aff235c9e1f8efa815806d4beb4936f59fe7b5

Aliases

arxiv: 1304.5789 · arxiv_version: 1304.5789v1 · doi: 10.48550/arxiv.1304.5789 · pith_short_12: Z74HOGWBA3KF · pith_short_16: Z74HOGWBA3KFHS6Q · pith_short_8: Z74HOGWB

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/Z74HOGWBA3KFHS6Q7E3WLL7SGX \
  | 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: cff8771ac106d453cbd0f93765aff235c9e1f8efa815806d4beb4936f59fe7b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32c6b1f07fadcc7585891dafbc52d59e85fa79c709e9c8727f8edd36185b0928",
    "cross_cats_sorted": [
      "math.CA",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-04-21T19:55:37Z",
    "title_canon_sha256": "6f2b94f75dbce7b9bbeb78e471c170ddf30f939976f2add5cb16d624ea3cb1b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5789",
    "kind": "arxiv",
    "version": 1
  }
}