Pith Number

pith:IQN3EXAV

pith:2012:IQN3EXAV3JJ3KT7CVZGUPMDG5P

not attested not anchored not stored refs pending

One and two weight norm inequalities for Riesz potentials

David Cruz-Uribe, Kabe Moen

arxiv:1207.5551 v2 · 2012-07-23 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IQN3EXAV3JJ3KT7CVZGUPMDG5P}

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	2026-05-18T03:40:49.207131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

441bb25c15da53b54fe2ae4d47b066ebcf445c7a73747adcc1e371ece94cc909

Aliases

arxiv: 1207.5551 · arxiv_version: 1207.5551v2 · doi: 10.48550/arxiv.1207.5551 · pith_short_12: IQN3EXAV3JJ3 · pith_short_16: IQN3EXAV3JJ3KT7C · pith_short_8: IQN3EXAV

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/IQN3EXAV3JJ3KT7CVZGUPMDG5P \
  | 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: 441bb25c15da53b54fe2ae4d47b066ebcf445c7a73747adcc1e371ece94cc909

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db05b9055381ac72ab4a4dc761d31ef6a9662179ce6a61535f0b39921094a65a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-07-23T22:30:54Z",
    "title_canon_sha256": "19f4d37e83cdd53d15010d289dcaf3688b2a08c7ba01c3e24b8a4e64c41a75af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5551",
    "kind": "arxiv",
    "version": 2
  }
}