Pith Number

pith:22673M4B

pith:2013:22673M4BIO7B5TXOCMDWVPQVFQ

not attested not anchored not stored refs pending

Some integral inequalities for {\alpha}-, m-, ({\alpha},m)-logarithmically convex functions

Ebru Yuksel, Mevlut Tunc

arxiv:1301.7057 v1 · 2013-01-28 · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{22673M4BIO7B5TXOCMDWVPQVFQ}

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	2026-05-18T03:35:02.734687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6bdfdb38143be1eceee13076abe152c264063314e2111af364ad95fb8ca2485

Aliases

arxiv: 1301.7057 · arxiv_version: 1301.7057v1 · doi: 10.48550/arxiv.1301.7057 · pith_short_12: 22673M4BIO7B · pith_short_16: 22673M4BIO7B5TXO · pith_short_8: 22673M4B

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/22673M4BIO7B5TXOCMDWVPQVFQ \
  | 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: d6bdfdb38143be1eceee13076abe152c264063314e2111af364ad95fb8ca2485

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2988cd4c074dd33f60fe5b8be6445dea0a45b8e80fd56125954c1e4bfb1e1ecd",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-01-28T10:02:08Z",
    "title_canon_sha256": "61461d22bc371c325854e058a32d7046880d3c90778390be982b264333a34244"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7057",
    "kind": "arxiv",
    "version": 1
  }
}