Pith Number

pith:G74TM5K4

pith:2012:G74TM5K4PJTGBKZXUU3ZECC2VX

not attested not anchored not stored refs pending

Definitions of h-logaritmic, h-geometric and h-multi convex functions and some inequalities related to them

M. Emin Ozdemir, Mevlut Tunc, Mustafa Gurbuz

arxiv:1211.2750 v1 · 2012-11-12 · 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{G74TM5K4PJTGBKZXUU3ZECC2VX}

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	2026-05-18T03:41:01.905432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37f936755c7a6660ab37a53792085aadc119d802255a5887469a28cdfcf282bc

Aliases

arxiv: 1211.2750 · arxiv_version: 1211.2750v1 · doi: 10.48550/arxiv.1211.2750 · pith_short_12: G74TM5K4PJTG · pith_short_16: G74TM5K4PJTGBKZX · pith_short_8: G74TM5K4

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/G74TM5K4PJTGBKZXUU3ZECC2VX \
  | 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: 37f936755c7a6660ab37a53792085aadc119d802255a5887469a28cdfcf282bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa9befba740dd9376b8ac7771b687bb56a5ec5bffc4bc79236ae2cad4dc93335",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-11-12T19:36:51Z",
    "title_canon_sha256": "20045b735107b7de1ce98ee54cf2b86429045ea1dce2b9917606c074b23291ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2750",
    "kind": "arxiv",
    "version": 1
  }
}