Pith Number

pith:IBMJGRTQ

pith:2012:IBMJGRTQV725DML3JNMGGFCYQG

not attested not anchored not stored refs pending

On some inequalities for s-logarithmically convex functions in the second sense via fractional integrals

Havva Kavurmaci, Mevlut Tunc

arxiv:1212.1604 v1 · 2012-12-07 · math.FA · 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{IBMJGRTQV725DML3JNMGGFCYQG}

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	2026-05-18T03:38:56.811353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4058934670aff5d1b17b4b5863145881918ef0094bfdc4a83d9fb25ebfcc9e01

Aliases

arxiv: 1212.1604 · arxiv_version: 1212.1604v1 · doi: 10.48550/arxiv.1212.1604 · pith_short_12: IBMJGRTQV725 · pith_short_16: IBMJGRTQV725DML3 · pith_short_8: IBMJGRTQ

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/IBMJGRTQV725DML3JNMGGFCYQG \
  | 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: 4058934670aff5d1b17b4b5863145881918ef0094bfdc4a83d9fb25ebfcc9e01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4b8fbc27169363cfe455bad4a6bdcf3e02a439fcd15023579dfce977379ea47",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-12-07T13:17:37Z",
    "title_canon_sha256": "eb6c0dd750ade930547cfe5dff223a2b7957b50af8e8b97fbec28ecf53e8d33b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1604",
    "kind": "arxiv",
    "version": 1
  }
}