Pith Number

pith:FXW3V7RW

pith:2015:FXW3V7RWLQMKNAT45QKN6KU45X

not attested not anchored not stored refs pending

A Hardy-Littlewood Integral Inequality on Finite Intervals with a Concave Weight

Horst Alzer, Man Kam Kwong

arxiv:1507.00807 v1 · 2015-07-03 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FXW3V7RWLQMKNAT45QKN6KU45X}

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	2026-05-18T01:37:22.643724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dedbafe365c18a6827cec14df2a9ceded548d3175149f9c610b90c7b2a9ac67

Aliases

arxiv: 1507.00807 · arxiv_version: 1507.00807v1 · doi: 10.48550/arxiv.1507.00807 · pith_short_12: FXW3V7RWLQMK · pith_short_16: FXW3V7RWLQMKNAT4 · pith_short_8: FXW3V7RW

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/FXW3V7RWLQMKNAT45QKN6KU45X \
  | 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: 2dedbafe365c18a6827cec14df2a9ceded548d3175149f9c610b90c7b2a9ac67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf0c203c407fd298fbf6b1707c3508b2cc03570214c1c9ee7459aac733a5404c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-07-03T03:28:30Z",
    "title_canon_sha256": "88ba5f6172296d84928c166da7ee6ea135e6e7cdc6b6eeb5346e1806fa0c5573"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00807",
    "kind": "arxiv",
    "version": 1
  }
}