Pith Number

pith:WPNZBQFJ

pith:2013:WPNZBQFJIO6W5LQ7YKNMBQPEDI

not attested not anchored not stored refs pending

Optimal Hardy-Littlewood type inequalities for polynomials and multilinear operators

Daniel Pellegrino, Fr\'ed\'eric Bayart, Juan B. Seoane-Sep\'ulveda, Nacib Albuquerque

arxiv:1311.3177 v4 · 2013-11-13 · 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{WPNZBQFJIO6W5LQ7YKNMBQPEDI}

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	2026-05-18T02:49:12.135150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3db90c0a943bd6eae1fc29ac0c1e41a03044304ffffc3c66bd3fd3522c1e561

Aliases

arxiv: 1311.3177 · arxiv_version: 1311.3177v4 · doi: 10.48550/arxiv.1311.3177 · pith_short_12: WPNZBQFJIO6W · pith_short_16: WPNZBQFJIO6W5LQ7 · pith_short_8: WPNZBQFJ

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/WPNZBQFJIO6W5LQ7YKNMBQPEDI \
  | 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: b3db90c0a943bd6eae1fc29ac0c1e41a03044304ffffc3c66bd3fd3522c1e561

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f67d19a3b17dd6c573da6dc15152335f096d123c0ba5d00d5c743cf3f5ff5100",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-11-13T15:40:27Z",
    "title_canon_sha256": "3b0fa374c68af44a1ec08cb5ef36e447eeb76369f9232c9f2ba7accf60a47345"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3177",
    "kind": "arxiv",
    "version": 4
  }
}