Pith Number

pith:NIR6ZNYS

pith:2012:NIR6ZNYSJ3VTB5TCNI2DO6N4VQ

not attested not anchored not stored refs pending

Ostrowski type Inequalities for m- and (alpha,m)-geometrically convex functions via Riemann-Louville Fractional integrals

Mevlut Tunc

arxiv:1211.6587 v1 · 2012-11-28 · 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{NIR6ZNYSJ3VTB5TCNI2DO6N4VQ}

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	2026-05-18T03:39:44.296786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a23ecb7124eeb30f6626a343779bcac29d473be5f0507a82f9a0c6df4b9e810

Aliases

arxiv: 1211.6587 · arxiv_version: 1211.6587v1 · doi: 10.48550/arxiv.1211.6587 · pith_short_12: NIR6ZNYSJ3VT · pith_short_16: NIR6ZNYSJ3VTB5TC · pith_short_8: NIR6ZNYS

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/NIR6ZNYSJ3VTB5TCNI2DO6N4VQ \
  | 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: 6a23ecb7124eeb30f6626a343779bcac29d473be5f0507a82f9a0c6df4b9e810

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6f20a6272851b9729fe0afa45cb5a05ff7411e7896164a874d651ea97cee7a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-11-28T12:00:29Z",
    "title_canon_sha256": "9a4d7147e7a822621fb6be3bc2f898066012e2e8387549e2450fe902d9e8c29e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6587",
    "kind": "arxiv",
    "version": 1
  }
}