Pith Number

pith:HRLQ3USQ

pith:2009:HRLQ3USQJHMH75ZLQH22FPVMJK

not attested not anchored not stored refs pending

Sharp weighted bounds for fractional integral operators

Carlos Perez, Kabe Moen, Michael Lacey, Rodolfo H. Torres

arxiv:0905.3839 v2 · 2009-05-23 · 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{HRLQ3USQJHMH75ZLQH22FPVMJK}

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	2026-05-18T03:56:23.019130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c570dd25049d87ff72b81f5a2beac4ab650d71fab1f4df0740ccb82ff966e77

Aliases

arxiv: 0905.3839 · arxiv_version: 0905.3839v2 · doi: 10.48550/arxiv.0905.3839 · pith_short_12: HRLQ3USQJHMH · pith_short_16: HRLQ3USQJHMH75ZL · pith_short_8: HRLQ3USQ

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/HRLQ3USQJHMH75ZLQH22FPVMJK \
  | 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: 3c570dd25049d87ff72b81f5a2beac4ab650d71fab1f4df0740ccb82ff966e77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29f5739b253173d7a730a4d4b29a0cf8a375383c57dcfcf8552ec4b13d385039",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-05-23T18:05:55Z",
    "title_canon_sha256": "b7ff1a42c8798415e32b422f1259e3c17958a72568534b9fd7f9ed5f9bbaa215"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.3839",
    "kind": "arxiv",
    "version": 2
  }
}