Pith Number

pith:W7PP3PTK

pith:2013:W7PP3PTKLVEMBSXWUUL5J73NYH

not attested not anchored not stored refs pending

Hadamard-type and Bullen-type inequalities for Lipschitzian functions via fractional integrals

Imdat Iscan

arxiv:1308.5441 v1 · 2013-08-25 · 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{W7PP3PTKLVEMBSXWUUL5J73NYH}

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	2026-05-18T03:15:04.646418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7defdbe6a5d48c0caf6a517d4ff6dc1c571b6b0ff46999e25aee5a3bd3798e2

Aliases

arxiv: 1308.5441 · arxiv_version: 1308.5441v1 · doi: 10.48550/arxiv.1308.5441 · pith_short_12: W7PP3PTKLVEM · pith_short_16: W7PP3PTKLVEMBSXW · pith_short_8: W7PP3PTK

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/W7PP3PTKLVEMBSXWUUL5J73NYH \
  | 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: b7defdbe6a5d48c0caf6a517d4ff6dc1c571b6b0ff46999e25aee5a3bd3798e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d49173ecdb46348152be3e2ca19f2e282736119191d0838603fb47459f61856c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-08-25T19:56:48Z",
    "title_canon_sha256": "0f9368873ebcf3a7d249e5651d05d7f6ca53d0cc0e9c2e1f4c965d9cdf020684"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5441",
    "kind": "arxiv",
    "version": 1
  }
}