Pith Number

pith:HM3BZAAX

pith:2012:HM3BZAAXDY365GK363LLJFV4IE

not attested not anchored not stored refs pending

On Hadamard Type Integral Inequalities for nonconvex Functions

Hakan Bozkurt, Mehmet Zeki Sarikaya, Necmettin Alp

arxiv:1203.2282 v2 · 2012-03-10 · 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{HM3BZAAXDY365GK363LLJFV4IE}

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	2026-05-18T03:29:16.394930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b361c80171e37ee995bf6d6b496bc413daf58d9ddeeef2eef70dd288410c875

Aliases

arxiv: 1203.2282 · arxiv_version: 1203.2282v2 · doi: 10.48550/arxiv.1203.2282 · pith_short_12: HM3BZAAXDY36 · pith_short_16: HM3BZAAXDY365GK3 · pith_short_8: HM3BZAAX

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/HM3BZAAXDY365GK363LLJFV4IE \
  | 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: 3b361c80171e37ee995bf6d6b496bc413daf58d9ddeeef2eef70dd288410c875

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5e85ac9673c7a0725d4d0e70a50fe8a77e70a1adef0972d483188f68fd27c2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-03-10T20:47:00Z",
    "title_canon_sha256": "c70ed4ce5e5418a38a2b23efe9c9eba28638205397c91c58f6fd05f69abbef15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2282",
    "kind": "arxiv",
    "version": 2
  }
}