Pith Number

pith:GJRLBUWU

pith:2011:GJRLBUWUSM7Y6I5DDUQLSGK5HH

not attested not anchored not stored refs pending

New Inequalities of Hermite-Hadamard Type for Functions whose Derivatives Absolute Values are Quasi-Convex

Ahmet Ocak Akdemir, Cetin Yildiz, Merve Avci

arxiv:1103.1968 v1 · 2011-03-10 · 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{GJRLBUWUSM7Y6I5DDUQLSGK5HH}

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	2026-05-18T04:27:03.280841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3262b0d2d4933f8f23a31d20b9195d39cc7a80769a690334eb91d841b2806404

Aliases

arxiv: 1103.1968 · arxiv_version: 1103.1968v1 · doi: 10.48550/arxiv.1103.1968 · pith_short_12: GJRLBUWUSM7Y · pith_short_16: GJRLBUWUSM7Y6I5D · pith_short_8: GJRLBUWU

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/GJRLBUWUSM7Y6I5DDUQLSGK5HH \
  | 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: 3262b0d2d4933f8f23a31d20b9195d39cc7a80769a690334eb91d841b2806404

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02cc6650eb7f757ce96c4f5098916697425c8a97ac4ff79d9a0fb634866e1882",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-03-10T09:09:32Z",
    "title_canon_sha256": "3cd0618ec4c45c9ecb5954e33c433e9a92198a000f5b8b33e1533a3f52aa808c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1968",
    "kind": "arxiv",
    "version": 1
  }
}