Pith Number

pith:OE2F6GMU

pith:2012:OE2F6GMUW7QZVUVTGF2U742TC5

not attested not anchored not stored refs pending

Some New Integral Inequalities for Several Kinds of Convex Functions

Ahmet Ocak Akdemir, Alper Ekinci, M. Emin Ozdemir

arxiv:1202.2003 v1 · 2012-02-07 · 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{OE2F6GMUW7QZVUVTGF2U742TC5}

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	2026-05-18T04:02:38.557515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71345f1994b7e19ad2b331754ff3531759bc5989127b51fe497686a39293ecb3

Aliases

arxiv: 1202.2003 · arxiv_version: 1202.2003v1 · doi: 10.48550/arxiv.1202.2003 · pith_short_12: OE2F6GMUW7QZ · pith_short_16: OE2F6GMUW7QZVUVT · pith_short_8: OE2F6GMU

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/OE2F6GMUW7QZVUVTGF2U742TC5 \
  | 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: 71345f1994b7e19ad2b331754ff3531759bc5989127b51fe497686a39293ecb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b355a5c6da11a7a10be8ea016acd7334b552c0521f51987ec6c5d7a960b01090",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-02-07T11:53:01Z",
    "title_canon_sha256": "2229785a3bea4dd358b575d1a0b7759ba88f345947addbc2ec67b9a23c516d8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2003",
    "kind": "arxiv",
    "version": 1
  }
}