Pith Number

pith:I4SKWEYG

pith:2011:I4SKWEYGZN4P5GSQL5Y56NNIT2

not attested not anchored not stored refs pending

Paraproducts and Products of functions in $BMO(\mathbb R^n)$ and $H^1(\mathbb R^n)$ through wavelets

Aline Bonami (MAPMO), Luong Dang Ky (MAPMO), Sandrine Grellier (MAPMO)

arxiv:1103.1822 v1 · 2011-03-09 · math.CA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I4SKWEYGZN4P5GSQL5Y56NNIT2}

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	2026-05-18T04:27:05.688776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4724ab1306cb78fe9a505f71df35a89eb83e262d42bee3a46c2a2ebbfdce0b22

Aliases

arxiv: 1103.1822 · arxiv_version: 1103.1822v1 · doi: 10.48550/arxiv.1103.1822 · pith_short_12: I4SKWEYGZN4P · pith_short_16: I4SKWEYGZN4P5GSQ · pith_short_8: I4SKWEYG

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/I4SKWEYGZN4P5GSQL5Y56NNIT2 \
  | 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: 4724ab1306cb78fe9a505f71df35a89eb83e262d42bee3a46c2a2ebbfdce0b22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b17b15772e479e95cc8e1765b2a451b78987e956cf761fb2cd4ff3f95b1200ed",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-03-09T16:17:14Z",
    "title_canon_sha256": "d1ef4ef715f545831501a99dc9a60a12d300f562416e3e2ba4bab0d14a46b073"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1822",
    "kind": "arxiv",
    "version": 1
  }
}