Pith Number

pith:RTSCE3WS

pith:2011:RTSCE3WSU253ZHUKQJ3WQBNFNF

not attested not anchored not stored refs pending

Weighted Estimates for the iterated Commutators of Multilinear Maximal and Fractional Type Operators

Qingying Xue

arxiv:1105.4471 v2 · 2011-05-23 · 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{RTSCE3WSU253ZHUKQJ3WQBNFNF}

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	2026-05-18T04:20:24.437489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ce4226ed2a6bbbc9e8a82776805a5695c286293ce9f2d94e16c6a1b855a3b13

Aliases

arxiv: 1105.4471 · arxiv_version: 1105.4471v2 · doi: 10.48550/arxiv.1105.4471 · pith_short_12: RTSCE3WSU253 · pith_short_16: RTSCE3WSU253ZHUK · pith_short_8: RTSCE3WS

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/RTSCE3WSU253ZHUKQJ3WQBNFNF \
  | 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: 8ce4226ed2a6bbbc9e8a82776805a5695c286293ce9f2d94e16c6a1b855a3b13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ff786cd4fb8d03b7e7d9f6ea0b382b011f2534cf9f0467ac0afc066ff975696",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-05-23T11:34:16Z",
    "title_canon_sha256": "71e05c613fe31ead01e7753c9d517ad1d1b2cf6aeef96c784a52b360440eb368"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4471",
    "kind": "arxiv",
    "version": 2
  }
}