Pith Number

pith:2NJ3K2EG

pith:2013:2NJ3K2EGRL6FDIJXYM2TM3W2S2

not attested not anchored not stored refs pending

Sharp Weighted Bounds for Multilinear fractional Maximal type Operators with Rough Kernels

Qingying Xue, Senhua Lan, Ting Mei

arxiv:1305.1865 v1 · 2013-05-08 · 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{2NJ3K2EGRL6FDIJXYM2TM3W2S2}

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	2026-05-18T03:26:11.027165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d353b568868afc51a137c335366eda9688cef109cf49e8175dc266dc46c9e2e8

Aliases

arxiv: 1305.1865 · arxiv_version: 1305.1865v1 · doi: 10.48550/arxiv.1305.1865 · pith_short_12: 2NJ3K2EGRL6F · pith_short_16: 2NJ3K2EGRL6FDIJX · pith_short_8: 2NJ3K2EG

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/2NJ3K2EGRL6FDIJXYM2TM3W2S2 \
  | 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: d353b568868afc51a137c335366eda9688cef109cf49e8175dc266dc46c9e2e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "291b7dea7556e27d84cbef1289f0267f4be7315a5efbed9ba3357613dac6f8fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-05-08T16:05:03Z",
    "title_canon_sha256": "d4657214d23c2787f172ded06cb259b1cfa064441d5135dff28640d433c7276c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1865",
    "kind": "arxiv",
    "version": 1
  }
}