Pith Number

pith:NZRHR3BK

pith:2017:NZRHR3BKJOEGKV5D7N22QUOASH

not attested not anchored not stored refs pending

Further improvements of Young inequality

Shigeru Furuichi

arxiv:1706.03333 v3 · 2017-06-11 · 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{NZRHR3BKJOEGKV5D7N22QUOASH}

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	2026-05-18T00:10:47.694598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e6278ec2a4b886557a3fb75a851c091e335fc0b426b03f183a313abc0b0d29a

Aliases

arxiv: 1706.03333 · arxiv_version: 1706.03333v3 · doi: 10.48550/arxiv.1706.03333 · pith_short_12: NZRHR3BKJOEG · pith_short_16: NZRHR3BKJOEGKV5D · pith_short_8: NZRHR3BK

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/NZRHR3BKJOEGKV5D7N22QUOASH \
  | 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: 6e6278ec2a4b886557a3fb75a851c091e335fc0b426b03f183a313abc0b0d29a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48ef52642020d860af9492497507e0b7417a44727ceb0d71b655604b3ebc6ea4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-06-11T10:17:26Z",
    "title_canon_sha256": "175ec906164ff61ecd5d28b590b87dd8c269bb6f7e0634769997345ecc5fa04d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.03333",
    "kind": "arxiv",
    "version": 3
  }
}