Pith Number

pith:X3VSAXAK

pith:2014:X3VSAXAK2CJ7ACBYU6ESHAJDQU

not attested not anchored not stored refs pending

Unitarily invariant norm inequalities for some means

Shigeru Furuichi

arxiv:1402.2014 v1 · 2014-02-10 · 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{X3VSAXAK2CJ7ACBYU6ESHAJDQU}

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	2026-05-18T02:59:32.685676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beeb205c0ad093f00838a789238123852029591ef8664b335569694d01102096

Aliases

arxiv: 1402.2014 · arxiv_version: 1402.2014v1 · doi: 10.48550/arxiv.1402.2014 · pith_short_12: X3VSAXAK2CJ7 · pith_short_16: X3VSAXAK2CJ7ACBY · pith_short_8: X3VSAXAK

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/X3VSAXAK2CJ7ACBYU6ESHAJDQU \
  | 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: beeb205c0ad093f00838a789238123852029591ef8664b335569694d01102096

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6de584ffbf2092b9bfb63747092c3e0a0d6fd9b89af8c4597f8bc68bbf218866",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-02-10T01:31:55Z",
    "title_canon_sha256": "01548d0d035405b2092fdb787ac50bdc44f491d3fce8100f00f1774ba4d8c664"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.2014",
    "kind": "arxiv",
    "version": 1
  }
}