Pith Number

pith:76ZUJPX5

pith:2015:76ZUJPX5F4TTX6POPBFEVJKP3U

not attested not anchored not stored refs pending

On some inequalities for the identric, logarithmic and related means

Barkat Ali Bhayo, J\'ozsef S\'andor

arxiv:1503.06013 v1 · 2015-03-20 · 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{76ZUJPX5F4TTX6POPBFEVJKP3U}

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	2026-05-18T02:20:48.926847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffb344befd2f273bf9ee784a4aa54fdd29e4946b09c3f533b0f57cb141782909

Aliases

arxiv: 1503.06013 · arxiv_version: 1503.06013v1 · doi: 10.48550/arxiv.1503.06013 · pith_short_12: 76ZUJPX5F4TT · pith_short_16: 76ZUJPX5F4TTX6PO · pith_short_8: 76ZUJPX5

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/76ZUJPX5F4TTX6POPBFEVJKP3U \
  | 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: ffb344befd2f273bf9ee784a4aa54fdd29e4946b09c3f533b0f57cb141782909

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9cecd55916fd3305d991b44a511f396daf53c1dbdfea2a5c37858b83c6aef3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-03-20T08:07:47Z",
    "title_canon_sha256": "8379883b3520d8f3dc7803151bff2918a69a36fc2a775eea093bec66a601c8ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06013",
    "kind": "arxiv",
    "version": 1
  }
}