Pith Number

pith:GXLEILIR

pith:2010:GXLEILIRC42MLAQMTJTW3JSDNG

not attested not anchored not stored refs pending

Hermite-Hadamard Type Inequalities via ({\alpha},m)- Convexity

Havva Kavurmaci, M. Emin \"Ozdemir, Merve Avci

arxiv:1009.5225 v2 · 2010-09-27 · math.CA · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GXLEILIRC42MLAQMTJTW3JSDNG}

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	2026-05-18T04:15:36.082932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35d6442d111734c5820c9a676da64369b736cb76d1a0063663a44e2f84e75ff0

Aliases

arxiv: 1009.5225 · arxiv_version: 1009.5225v2 · doi: 10.48550/arxiv.1009.5225 · pith_short_12: GXLEILIRC42M · pith_short_16: GXLEILIRC42MLAQM · pith_short_8: GXLEILIR

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/GXLEILIRC42MLAQMTJTW3JSDNG \
  | 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: 35d6442d111734c5820c9a676da64369b736cb76d1a0063663a44e2f84e75ff0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3d41af7fc763faeb7177dd28d9e1822bc8cac4497b19b77f1fa8d3a52f1f801",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-09-27T11:19:27Z",
    "title_canon_sha256": "236e69bb1234f73178a69e734036b168a78698de64a355c2532dd70aabfc3689"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5225",
    "kind": "arxiv",
    "version": 2
  }
}