Pith Number

pith:I36YJLTU

pith:2016:I36YJLTUA5IQVIN2CPKNNMV2KQ

not attested not anchored not stored refs pending

Optimal exponents for Hardy--Littlewood inequalities for $m$-linear operators

D. M. Serrano-Rodr\'iguez, D. N\'u\~nez-Alarc\'on, D. Pellegrino, R. M. Aron

arxiv:1602.00178 v4 · 2016-01-31 · 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{I36YJLTUA5IQVIN2CPKNNMV2KQ}

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	2026-05-18T00:10:30.949641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46fd84ae7407510aa1ba13d4d6b2ba540bb71201c378693de20ddc35ad3e240b

Aliases

arxiv: 1602.00178 · arxiv_version: 1602.00178v4 · doi: 10.48550/arxiv.1602.00178 · pith_short_12: I36YJLTUA5IQ · pith_short_16: I36YJLTUA5IQVIN2 · pith_short_8: I36YJLTU

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/I36YJLTUA5IQVIN2CPKNNMV2KQ \
  | 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: 46fd84ae7407510aa1ba13d4d6b2ba540bb71201c378693de20ddc35ad3e240b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55871d5881d05e368643d2e4680117ca3deb3ea95a81e7981c4e43e2c1d73f70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-01-31T00:39:32Z",
    "title_canon_sha256": "be3d5c03bd1f926e711cbeaead3d1353f618bed89e2c14356c0dded4657996dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.00178",
    "kind": "arxiv",
    "version": 4
  }
}