Pith Number

pith:ZBMANB6I

pith:2013:ZBMANB6IOHW74JJPZESPAHDB5Y

not attested not anchored not stored refs pending

On Some New Hermite-Hadamard type inequalities for s-geometrically convex functions

\.Imdat \.I\c{s}can

arxiv:1304.0431 v2 · 2013-04-01 · 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{ZBMANB6IOHW74JJPZESPAHDB5Y}

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	2026-05-18T03:17:56.589757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8580687c871edfe252fc924f01c61ee289412643fb5052ede354e310e38efc7

Aliases

arxiv: 1304.0431 · arxiv_version: 1304.0431v2 · doi: 10.48550/arxiv.1304.0431 · pith_short_12: ZBMANB6IOHW7 · pith_short_16: ZBMANB6IOHW74JJP · pith_short_8: ZBMANB6I

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/ZBMANB6IOHW74JJPZESPAHDB5Y \
  | 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: c8580687c871edfe252fc924f01c61ee289412643fb5052ede354e310e38efc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93086fc47d6fbafab3a6a5f0f05a66addf3f691e915163f669f2e97645bc1921",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-04-01T19:39:33Z",
    "title_canon_sha256": "11218395b61dd925189c51e4235824f02f269989397e5481dfb9bb1aee9d9cdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0431",
    "kind": "arxiv",
    "version": 2
  }
}