Pith Number

pith:OHPGTVMZ

pith:2012:OHPGTVMZO37ZHFP6Q3J2PCA6VK

not attested not anchored not stored refs pending

On generalization of different type inequalities for some convex functions via fractional integrals

Imdat Iscan

arxiv:1208.1641 v1 · 2012-08-08 · 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{OHPGTVMZO37ZHFP6Q3J2PCA6VK}

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	2026-05-18T03:49:11.020829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71de69d59976ff9395fe86d3a7881eaaab7c52666371ac47ceab8919bbb87930

Aliases

arxiv: 1208.1641 · arxiv_version: 1208.1641v1 · doi: 10.48550/arxiv.1208.1641 · pith_short_12: OHPGTVMZO37Z · pith_short_16: OHPGTVMZO37ZHFP6 · pith_short_8: OHPGTVMZ

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/OHPGTVMZO37ZHFP6Q3J2PCA6VK \
  | 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: 71de69d59976ff9395fe86d3a7881eaaab7c52666371ac47ceab8919bbb87930

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3a25d7f73fa55e366056f69df60700c0719b27d83d625ba41820d4306932008",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-08-08T11:05:32Z",
    "title_canon_sha256": "7df90fbe8df8302827f533687edfa55f6299ebf8c59d3f3c8312d301cff20690"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1641",
    "kind": "arxiv",
    "version": 1
  }
}