Pith Number

pith:6Q5UWRHL

pith:2012:6Q5UWRHLAJG7HT2ZZ2F4PYBFIT

not attested not anchored not stored refs pending

Hadamard Type Inequalities for m-Convex and ({\alpha},m)-Convex Functions via Fractional Integrals

Alper Ekinci, A.Ocak Akdemir, M. Emin \"Ozdemir, Merve Avc{\i}

arxiv:1201.5783 v1 · 2012-01-27 · 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{6Q5UWRHLAJG7HT2ZZ2F4PYBFIT}

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	2026-05-18T04:03:44.521053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f43b4b44eb024df3cf59ce8bc7e02544c45ab0a371cfddc9fc53b30d28554a9e

Aliases

arxiv: 1201.5783 · arxiv_version: 1201.5783v1 · doi: 10.48550/arxiv.1201.5783 · pith_short_12: 6Q5UWRHLAJG7 · pith_short_16: 6Q5UWRHLAJG7HT2Z · pith_short_8: 6Q5UWRHL

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/6Q5UWRHLAJG7HT2ZZ2F4PYBFIT \
  | 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: f43b4b44eb024df3cf59ce8bc7e02544c45ab0a371cfddc9fc53b30d28554a9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f21390843e7625b2af35a19dcecf7ab968d141fc8c684d1900dc7f8ec57ad7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-01-27T14:22:14Z",
    "title_canon_sha256": "a9050d8dd5bbb161b6cfc854af91db82715d125d649245bfcd1398f63d85e7e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5783",
    "kind": "arxiv",
    "version": 1
  }
}