Pith Number

pith:V5U6FETF

pith:2018:V5U6FETFXII2HS6MVMZJCBXIXR

not attested not anchored not stored refs pending

On further refinements for Young inequalities

Hamid Reza Moradi, Shigeru Furuichi

arxiv:1807.08214 v1 · 2018-07-21 · 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{V5U6FETFXII2HS6MVMZJCBXIXR}

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	2026-05-18T00:10:08.890107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af69e29265ba11a3cbccab329106e8bc47fea354fa7492efe5deaefae837ea16

Aliases

arxiv: 1807.08214 · arxiv_version: 1807.08214v1 · doi: 10.48550/arxiv.1807.08214 · pith_short_12: V5U6FETFXII2 · pith_short_16: V5U6FETFXII2HS6M · pith_short_8: V5U6FETF

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/V5U6FETFXII2HS6MVMZJCBXIXR \
  | 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: af69e29265ba11a3cbccab329106e8bc47fea354fa7492efe5deaefae837ea16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e08d917e6822ade2df8fa7c70f2eeb3cbc1e00460535c7519171d11a6e509edc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-07-21T23:57:03Z",
    "title_canon_sha256": "3bcc57dcabdd2fc9efce1192c28beb943cd503f5214b70b125fc0c88538d7745"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08214",
    "kind": "arxiv",
    "version": 1
  }
}