Pith Number

pith:ODTOZP4B

pith:2014:ODTOZP4B7FGWZN5LJLCGYBLWC2

not attested not anchored not stored refs pending

Lower bounds for the constants of the Hardy-Littlewood inequalities

Daniel Pellegrino, Gustavo Araujo

arxiv:1405.2969 v2 · 2014-05-12 · 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{ODTOZP4B7FGWZN5LJLCGYBLWC2}

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	2026-05-18T01:31:11.843199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70e6ecbf81f94d6cb7ab4ac46c057616bdfdb21e3971d4b3fef48090c80e59b1

Aliases

arxiv: 1405.2969 · arxiv_version: 1405.2969v2 · doi: 10.48550/arxiv.1405.2969 · pith_short_12: ODTOZP4B7FGW · pith_short_16: ODTOZP4B7FGWZN5L · pith_short_8: ODTOZP4B

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/ODTOZP4B7FGWZN5LJLCGYBLWC2 \
  | 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: 70e6ecbf81f94d6cb7ab4ac46c057616bdfdb21e3971d4b3fef48090c80e59b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8eebd7cee5401a9404a2e47305cb17a7b34f4cfbc2a48303b495c102457c78b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-05-12T21:35:47Z",
    "title_canon_sha256": "77720cb9768221767c47d6190f994df4593c8503fe2819b9f3af6996b69cbb1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2969",
    "kind": "arxiv",
    "version": 2
  }
}