Pith Number

pith:3DU7UAAA

pith:2015:3DU7UAAAMYRFLPFU56IWZEJ2FJ

not attested not anchored not stored refs pending

A characterization of two weight norm inequality for Littlewood-Paley $g_{\lambda}^{*}$-function

Kangwei Li, Mingming Cao, Qingying Xue

arxiv:1504.07850 v2 · 2015-04-29 · 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{3DU7UAAAMYRFLPFU56IWZEJ2FJ}

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	2026-05-18T00:16:09.965410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8e9fa0000662255bcb4ef916c913a2a4de43e8743a59e898b6fab043f1f7b54

Aliases

arxiv: 1504.07850 · arxiv_version: 1504.07850v2 · doi: 10.48550/arxiv.1504.07850 · pith_short_12: 3DU7UAAAMYRF · pith_short_16: 3DU7UAAAMYRFLPFU · pith_short_8: 3DU7UAAA

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/3DU7UAAAMYRFLPFU56IWZEJ2FJ \
  | 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: d8e9fa0000662255bcb4ef916c913a2a4de43e8743a59e898b6fab043f1f7b54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e481d4bf8d4fa6d274bd1c66a5eef5b622aab1e319693fc75cdb87f960e5336",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-04-29T13:17:53Z",
    "title_canon_sha256": "83670772b84021b5b3d46c858f2f1c138ee3765357b7868057f0a3cb36c2b65d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07850",
    "kind": "arxiv",
    "version": 2
  }
}