Pith Number

pith:NE3ITXU3

pith:2014:NE3ITXU33EEL763XGOLMGNPLDB

not attested not anchored not stored refs pending

On the upper bounds for the constants of the Hardy-Littlewood inequality

Daniel Pellegrino, Diogo D.P. Silva e Silva, Gustavo Araujo

arxiv:1405.5849 v1 · 2014-05-22 · 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{NE3ITXU33EEL763XGOLMGNPLDB}

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	2026-05-18T01:30:55.541206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

693689de9bd908bffb773396c335eb186f8e768f303f01b46a8c0f929b80269f

Aliases

arxiv: 1405.5849 · arxiv_version: 1405.5849v1 · doi: 10.48550/arxiv.1405.5849 · pith_short_12: NE3ITXU33EEL · pith_short_16: NE3ITXU33EEL763X · pith_short_8: NE3ITXU3

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/NE3ITXU33EEL763XGOLMGNPLDB \
  | 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: 693689de9bd908bffb773396c335eb186f8e768f303f01b46a8c0f929b80269f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10cdc1f7c9e0df587927f91dd4f8fd00a4c3598c68e97168f2457ae753001211",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-05-22T18:32:29Z",
    "title_canon_sha256": "3c1e5c331b99bf81134b470b5f53cdff6cd5cc99dc145d2cfaf3d9a6441fa59e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.5849",
    "kind": "arxiv",
    "version": 1
  }
}