Pith Number

pith:2EWCOYVO

pith:2008:2EWCOYVOB5VQHNNYUIAE4U7KXG

not attested not anchored not stored refs pending

Iterated Riesz Commutators: A Simple Proof of Boundedness

Brett D. Wick, Jill C. Pipher, Michael T. Lacey, Stefanie Petermichl

arxiv:0808.0832 v1 · 2008-08-06 · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2EWCOYVOB5VQHNNYUIAE4U7KXG}

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	2026-05-18T04:39:17.110915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d12c2762ae0f6b03b5b8a2004e53eab9a181e9f48f808f64d655dcd50f629d89

Aliases

arxiv: 0808.0832 · arxiv_version: 0808.0832v1 · doi: 10.48550/arxiv.0808.0832 · pith_short_12: 2EWCOYVOB5VQ · pith_short_16: 2EWCOYVOB5VQHNNY · pith_short_8: 2EWCOYVO

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/2EWCOYVOB5VQHNNYUIAE4U7KXG \
  | 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: d12c2762ae0f6b03b5b8a2004e53eab9a181e9f48f808f64d655dcd50f629d89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14dd597e265ab8b9d0c4b5695e4b4570f7d92790825669025399e64945f8140d",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2008-08-06T13:29:28Z",
    "title_canon_sha256": "ab1af211772a2ded275389d1224c02c0910ebf93c16a63437071b1f8a4746cbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.0832",
    "kind": "arxiv",
    "version": 1
  }
}