Pith Number

pith:72UXJV6K

pith:2015:72UXJV6KMDOMG7CZ7RPCJON6M5

not attested not anchored not stored refs pending

Some Generalizations of Integral Inequalities and Their Applications

Abdullah Yaradilmis, Mustafa Gurbuz

arxiv:1503.02500 v1 · 2015-03-09 · 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{72UXJV6KMDOMG7CZ7RPCJON6M5}

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	2026-05-18T02:25:19.481375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fea974d7ca60dcc37c59fc5e24b9be6775e6d98a457c9ff5239d374368d30c8f

Aliases

arxiv: 1503.02500 · arxiv_version: 1503.02500v1 · doi: 10.48550/arxiv.1503.02500 · pith_short_12: 72UXJV6KMDOM · pith_short_16: 72UXJV6KMDOMG7CZ · pith_short_8: 72UXJV6K

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/72UXJV6KMDOMG7CZ7RPCJON6M5 \
  | 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: fea974d7ca60dcc37c59fc5e24b9be6775e6d98a457c9ff5239d374368d30c8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76f6cd12d6295a9c61f639b4debe0e8fd3e06a5f656b61f06ff77834f8308ef3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-03-09T14:55:36Z",
    "title_canon_sha256": "4b477cc8238eaaa6f72df90df1078d89a6e233f01cd50c0f34be30dc9497d007"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02500",
    "kind": "arxiv",
    "version": 1
  }
}