Pith Number

pith:FNQWRRYZ

pith:2013:FNQWRRYZKKW4GAQC2PYM5HUW6E

not attested not anchored not stored refs pending

Sharp Weighted Inequalities for Multilinear Fractional Maximal Operator and Fractional Integrals

Kabe Moen, Kangwei Li, Wenchang Sun

arxiv:1304.2973 v2 · 2013-04-10 · 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{FNQWRRYZKKW4GAQC2PYM5HUW6E}

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	2026-05-18T00:39:16.226888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b6168c71952adc30202d3f0ce9e96f11a77cc13d268a2540d866c26f7b9cf26

Aliases

arxiv: 1304.2973 · arxiv_version: 1304.2973v2 · doi: 10.48550/arxiv.1304.2973 · pith_short_12: FNQWRRYZKKW4 · pith_short_16: FNQWRRYZKKW4GAQC · pith_short_8: FNQWRRYZ

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/FNQWRRYZKKW4GAQC2PYM5HUW6E \
  | 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: 2b6168c71952adc30202d3f0ce9e96f11a77cc13d268a2540d866c26f7b9cf26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0202e844bba409018e4d8ed566f5501f2cd070f53e360e1a02bed2c07166508d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-04-10T14:22:28Z",
    "title_canon_sha256": "4a1ab5406ba9eef1817b0d6f37fb66bd7f46010f1ab1b9c5bc508252d3cd710e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2973",
    "kind": "arxiv",
    "version": 2
  }
}