Pith Number

pith:2LU7RDLI

pith:2013:2LU7RDLIXE5YZOTLAKJ5UGFWPG

not attested not anchored not stored refs pending

Hermite-Hadamard type inequality for operator preinvex functions

A. Barani, A. G. Ghazanfari, M. Shakoori, S. S. Dragomir

arxiv:1306.0730 v1 · 2013-06-04 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2LU7RDLIXE5YZOTLAKJ5UGFWPG}

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	2026-05-18T03:21:53.379015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2e9f88d68b93b8cba6b0293da18b6798ba5703c7f66a8d1533808bcae39464f

Aliases

arxiv: 1306.0730 · arxiv_version: 1306.0730v1 · doi: 10.48550/arxiv.1306.0730 · pith_short_12: 2LU7RDLIXE5Y · pith_short_16: 2LU7RDLIXE5YZOTL · pith_short_8: 2LU7RDLI

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/2LU7RDLIXE5YZOTLAKJ5UGFWPG \
  | 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: d2e9f88d68b93b8cba6b0293da18b6798ba5703c7f66a8d1533808bcae39464f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0e892e43ad79c273a792c4d09e657f58a8b0e147ad8e75af9272761bc6eba3e",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-06-04T10:52:22Z",
    "title_canon_sha256": "1c12baadc6fe29af1ae13768c2858da881b4d7ce1659c448c894f86f9d69167a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0730",
    "kind": "arxiv",
    "version": 1
  }
}