Pith Number

pith:V5Z7DQUW

pith:2011:V5Z7DQUWTWNDKBHBT33WRIYC76

not attested not anchored not stored refs pending

An Extension of Young's Inequality

Constantin P. Niculescu, Flavia Corina Mitroi

arxiv:1106.5444 v1 · 2011-06-27 · 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{V5Z7DQUWTWNDKBHBT33WRIYC76}

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	2026-05-18T04:12:11.619471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af73f1c2969d9a3504e19ef768a302ffbc991b24828f7cbcffab0092ebe0e352

Aliases

arxiv: 1106.5444 · arxiv_version: 1106.5444v1 · doi: 10.48550/arxiv.1106.5444 · pith_short_12: V5Z7DQUWTWND · pith_short_16: V5Z7DQUWTWNDKBHB · pith_short_8: V5Z7DQUW

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/V5Z7DQUWTWNDKBHBT33WRIYC76 \
  | 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: af73f1c2969d9a3504e19ef768a302ffbc991b24828f7cbcffab0092ebe0e352

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9cc5c8d836c961e81a145fbf952605a034bb952f78cb5e039486b37fd8b5f1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-06-27T17:03:43Z",
    "title_canon_sha256": "8d5c4f3057d046157c316d7226ac46b2ae885702a8b1502ab19bcc0dd0f1b207"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5444",
    "kind": "arxiv",
    "version": 1
  }
}