Pith Number

pith:4YWRDTUY

pith:2015:4YWRDTUYFZUIT4FKFS6Y7B4DPB

not attested not anchored not stored refs pending

On the mixed $\left( \ell _{1},\ell _{2}\right)$-Littlewood inequality for real scalars and applications

Daniel Pellegrino, Diana M. Serrano-Rodriguez

arxiv:1510.00909 v1 · 2015-10-04 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4YWRDTUYFZUIT4FKFS6Y7B4DPB}

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	2026-05-18T01:31:05.318836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e62d11ce982e6889f0aa2cbd8f878378409def4b3aa76148e3a9b7958eda9e23

Aliases

arxiv: 1510.00909 · arxiv_version: 1510.00909v1 · doi: 10.48550/arxiv.1510.00909 · pith_short_12: 4YWRDTUYFZUI · pith_short_16: 4YWRDTUYFZUIT4FK · pith_short_8: 4YWRDTUY

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/4YWRDTUYFZUIT4FKFS6Y7B4DPB \
  | 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: e62d11ce982e6889f0aa2cbd8f878378409def4b3aa76148e3a9b7958eda9e23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ab0e2893995aafbd90128a9277ddc44376bfdb36e20054b95f9784e0e10eb73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-10-04T07:56:11Z",
    "title_canon_sha256": "db51bec0cbb5e3fb0dea2ab70ba29bf1a4555b536ff00bb626017571554bc9fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00909",
    "kind": "arxiv",
    "version": 1
  }
}