Pith Number

pith:V2KUWAK6

pith:2019:V2KUWAK6L7QMPBRJYPHFDOEUIB

not attested not anchored not stored refs pending

Extension of Multilinear Fractional Integral Operators to Linear Operators on Lebesgue Spaces with Mixed Norms

Ting Chen, Wenchang Sun

arxiv:1902.04527 v6 · 2019-02-12 · 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{V2KUWAK6L7QMPBRJYPHFDOEUIB}

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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.

Cited by

1 paper in Pith

On Function Spaces with Mixed Norms --- A Survey

Receipt and verification

First computed	2026-07-05T00:58:02.072140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae954b015e5fe0c78629c3ce51b89440488f77e543dca1a4a3753cf0ed9899e7

Aliases

arxiv: 1902.04527 · arxiv_version: 1902.04527v6 · doi: 10.48550/arxiv.1902.04527 · pith_short_12: V2KUWAK6L7QM · pith_short_16: V2KUWAK6L7QMPBRJ · pith_short_8: V2KUWAK6

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/V2KUWAK6L7QMPBRJYPHFDOEUIB \
  | 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: ae954b015e5fe0c78629c3ce51b89440488f77e543dca1a4a3753cf0ed9899e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56e5c4f2156042245978a89a6cdfd0927f912352b49cc24efc770cbf958a3a4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-02-12T18:07:26Z",
    "title_canon_sha256": "d4443bfae0b3089a4287f41f98d382ee6209cdd414b0ac7d79980e1edb222274"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.04527",
    "kind": "arxiv",
    "version": 6
  }
}