Pith Number

pith:2TIELRYQ

pith:2013:2TIELRYQ6LOUSQ6D777D4XAZZK

not attested not anchored not stored refs pending

Some Hadamard like inequalities via convex and s-convex functions and their applications for special means

Mevlut Tunc

arxiv:1304.4894 v1 · 2013-04-15 · 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{2TIELRYQ6LOUSQ6D777D4XAZZK}

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	2026-05-18T03:00:37.348989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4d045c710f2dd4943c3fffe3e5c19ca926906d49df8098b6a1c67adb79c3cc4

Aliases

arxiv: 1304.4894 · arxiv_version: 1304.4894v1 · doi: 10.48550/arxiv.1304.4894 · pith_short_12: 2TIELRYQ6LOU · pith_short_16: 2TIELRYQ6LOUSQ6D · pith_short_8: 2TIELRYQ

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/2TIELRYQ6LOUSQ6D777D4XAZZK \
  | 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: d4d045c710f2dd4943c3fffe3e5c19ca926906d49df8098b6a1c67adb79c3cc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f48c83d5cb755a4abbdaa166aae8fe26ad118ce1080121412ff64d9626a0ccf1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-04-15T06:47:29Z",
    "title_canon_sha256": "de5dd6968f02e16f41155556075706da8094b0183742f9d45e27482f2866a61c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4894",
    "kind": "arxiv",
    "version": 1
  }
}