Pith Number

pith:YIUYPV7V

pith:2017:YIUYPV7VKRR76YI2JJARYL5JXJ

not attested not anchored not stored refs pending

When are the Hardy-Littlewood inequalities contractive?

D.M. Pellegrino, J. Santos, P. Rueda, T. Nogueira, W.V. Cavalcante

arxiv:1705.06307 v2 · 2017-05-17 · 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{YIUYPV7VKRR76YI2JJARYL5JXJ}

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	2026-05-18T00:19:47.548109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c22987d7f55463ff611a4a411c2fa9ba4604cc3d2fd50ab4a06ecb22b55b571e

Aliases

arxiv: 1705.06307 · arxiv_version: 1705.06307v2 · doi: 10.48550/arxiv.1705.06307 · pith_short_12: YIUYPV7VKRR7 · pith_short_16: YIUYPV7VKRR76YI2 · pith_short_8: YIUYPV7V

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/YIUYPV7VKRR76YI2JJARYL5JXJ \
  | 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: c22987d7f55463ff611a4a411c2fa9ba4604cc3d2fd50ab4a06ecb22b55b571e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df2b17cac18b19d7ea539a5e4cae09f9175ffbd42cbdfb621b1390f96b6a3654",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-05-17T18:39:38Z",
    "title_canon_sha256": "ccab61edd71e96a374ddf520dd381527d93162a946e68751719bfc4bdbd37f20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06307",
    "kind": "arxiv",
    "version": 2
  }
}