Pith Number

pith:26LZK3ED

pith:2012:26LZK3EDRXSB3ZSF7ON3BJ7JBT

not attested not anchored not stored refs pending

Hermite-Hadamard type inequalities for s-convex and s-concave functions via fractional integrals

Havva Kavurmaci, M.Emin Ozdemir, Merve Avci

arxiv:1202.0380 v1 · 2012-02-02 · 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{26LZK3EDRXSB3ZSF7ON3BJ7JBT}

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	2026-05-18T04:03:18.494607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d797956c838de41de645fb9bb0a7e90ccc610b82934fdd4ae19d97c792ff8b97

Aliases

arxiv: 1202.0380 · arxiv_version: 1202.0380v1 · doi: 10.48550/arxiv.1202.0380 · pith_short_12: 26LZK3EDRXSB · pith_short_16: 26LZK3EDRXSB3ZSF · pith_short_8: 26LZK3ED

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/26LZK3EDRXSB3ZSF7ON3BJ7JBT \
  | 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: d797956c838de41de645fb9bb0a7e90ccc610b82934fdd4ae19d97c792ff8b97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1aa5d3f74c946be7f69ef7d58ebe3eedebe37a391e83cd83bed615897e7bc96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-02-02T08:21:05Z",
    "title_canon_sha256": "c543a9df2d4977f8159e2fa060cbe0796d7c979401728161789c43cafc7ec2d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0380",
    "kind": "arxiv",
    "version": 1
  }
}