Pith Number

pith:IVJIVJKR

pith:2018:IVJIVJKRI7TA7SI7EW5OEIXEY6

not attested not anchored not stored refs pending

New sharp inequalities for operator means

Hamid Reza Moradi, Mohammad Sababheh, Shigeru Furuichi

arxiv:1801.08634 v3 · 2018-01-25 · 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{IVJIVJKRI7TA7SI7EW5OEIXEY6}

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	2026-05-18T00:19:11.125021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45528aa55147e60fc91f25bae222e4c784dec90684dcb165fa0ddf7b906a4c19

Aliases

arxiv: 1801.08634 · arxiv_version: 1801.08634v3 · doi: 10.48550/arxiv.1801.08634 · pith_short_12: IVJIVJKRI7TA · pith_short_16: IVJIVJKRI7TA7SI7 · pith_short_8: IVJIVJKR

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/IVJIVJKRI7TA7SI7EW5OEIXEY6 \
  | 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: 45528aa55147e60fc91f25bae222e4c784dec90684dcb165fa0ddf7b906a4c19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "927447f6e9953467cd03e534da6861d56910b256ff4622ea2cb604daf8f6145b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-01-25T23:55:14Z",
    "title_canon_sha256": "de8c4cda43a5adc9401607ad76be3530823bda9ce90bb15d3876534dfeec4aa2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08634",
    "kind": "arxiv",
    "version": 3
  }
}