Pith Number

pith:QFIYWXW5

pith:2011:QFIYWXW5KNOVUG5UIO7WX54K5G

not attested not anchored not stored refs pending

A note on certain inequalities for bivariate means

Jozsef Sandor

arxiv:1105.0621 v1 · 2011-05-02 · 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{QFIYWXW5KNOVUG5UIO7WX54K5G}

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	2026-05-18T04:23:10.991054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81518b5edd535d5a1bb443bf6bf78ae9ac33e7bb46f6ec2e49d0629361c360eb

Aliases

arxiv: 1105.0621 · arxiv_version: 1105.0621v1 · doi: 10.48550/arxiv.1105.0621 · pith_short_12: QFIYWXW5KNOV · pith_short_16: QFIYWXW5KNOVUG5U · pith_short_8: QFIYWXW5

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/QFIYWXW5KNOVUG5UIO7WX54K5G \
  | 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: 81518b5edd535d5a1bb443bf6bf78ae9ac33e7bb46f6ec2e49d0629361c360eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3a858756319e8d3b07504a1b40bc735541042c5bcdbd640f3bf18214ab170da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-05-02T09:59:30Z",
    "title_canon_sha256": "8f6916571780788fa69021496eff010658be03d36824cb83e3473e198d5731ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0621",
    "kind": "arxiv",
    "version": 1
  }
}