Pith Number

pith:QXEH7AQH

pith:2012:QXEH7AQHYUBHYCPXJUM55GVLVK

not attested not anchored not stored refs pending

Fractional Integral Inequalities via s-Convex Functions

Cetin Yildiz, Havva Kavurmaci, M. Emin Ozdemir

arxiv:1201.4915 v1 · 2012-01-24 · 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{QXEH7AQHYUBHYCPXJUM55GVLVK}

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	2026-05-18T04:03:56.660696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85c87f8207c5027c09f74d19de9aabaa800d538280872960e99cee8b01a161de

Aliases

arxiv: 1201.4915 · arxiv_version: 1201.4915v1 · doi: 10.48550/arxiv.1201.4915 · pith_short_12: QXEH7AQHYUBH · pith_short_16: QXEH7AQHYUBHYCPX · pith_short_8: QXEH7AQH

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/QXEH7AQHYUBHYCPXJUM55GVLVK \
  | 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: 85c87f8207c5027c09f74d19de9aabaa800d538280872960e99cee8b01a161de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54a8cb0edcf50ae8de1aaf18aca1410f5814b5b3416fbe736fed6ec3a48e0542",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-01-24T06:49:29Z",
    "title_canon_sha256": "cd6d60e541a821697de9e0e3ced74c55ee796440888433add40f455e49663950"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4915",
    "kind": "arxiv",
    "version": 1
  }
}