Pith Number

pith:3HZOGGQS

pith:2012:3HZOGGQS5C45VHHULAWDTC2ZVR

not attested not anchored not stored refs pending

Inequalities of Ostrowski's type for m- and (alpha,m)- logarithmically convex functions via Riemann-Liouville Fractional integrals

Ahmet Ocak Akdemir

arxiv:1212.2165 v1 · 2012-12-07 · 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{3HZOGGQS5C45VHHULAWDTC2ZVR}

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	2026-05-18T03:38:46.862770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9f2e31a12e8b9da9cf4582c398b59ac7ff972e7fc726305717dc76930e344d2

Aliases

arxiv: 1212.2165 · arxiv_version: 1212.2165v1 · doi: 10.48550/arxiv.1212.2165 · pith_short_12: 3HZOGGQS5C45 · pith_short_16: 3HZOGGQS5C45VHHU · pith_short_8: 3HZOGGQS

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/3HZOGGQS5C45VHHULAWDTC2ZVR \
  | 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: d9f2e31a12e8b9da9cf4582c398b59ac7ff972e7fc726305717dc76930e344d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3ef993ca10684cb301d23a222d4c1ed784c96f85d9d20b1bc1a1ca4b6a60bab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-12-07T20:59:01Z",
    "title_canon_sha256": "b07deeb69cdbf1e548137a58842b57c4c5a3b7ae002638f60d657a59002cc34e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2165",
    "kind": "arxiv",
    "version": 1
  }
}