Pith Number

pith:5EMNZDXN

pith:2011:5EMNZDXN7O44DIPX7UM4FAU6VH

not attested not anchored not stored refs pending

Weighted Weak (1,1) estimates for one-sided oscillatory singular integrals

Shanzhen Lu, Shaoguang Shi, Shuichi Sato, Zunwei Fu

arxiv:1105.5296 v1 · 2011-05-26 · 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{5EMNZDXN7O44DIPX7UM4FAU6VH}

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	2026-05-18T02:42:26.212994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e918dc8eedfbb9c1a1f7fd19c2829ea9d84c5642af64a076b40c5ae4df5ea3de

Aliases

arxiv: 1105.5296 · arxiv_version: 1105.5296v1 · doi: 10.48550/arxiv.1105.5296 · pith_short_12: 5EMNZDXN7O44 · pith_short_16: 5EMNZDXN7O44DIPX · pith_short_8: 5EMNZDXN

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/5EMNZDXN7O44DIPX7UM4FAU6VH \
  | 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: e918dc8eedfbb9c1a1f7fd19c2829ea9d84c5642af64a076b40c5ae4df5ea3de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f1280404904311ea495b36a4e2310f9565102da075e57a6974fccca1705032d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-05-26T14:17:12Z",
    "title_canon_sha256": "f5d61c7fea5dce7329d089d0e5d9e49501be2271bde310bbd3675a6e5f1d5377"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5296",
    "kind": "arxiv",
    "version": 1
  }
}