Pith Number

pith:JUX4LMKW

pith:2026:JUX4LMKW23WL4QECQJ2J4ERAAN

not attested not anchored not stored refs pending

Heron-Wasserstein majorization inequalities for spectral and Kubo-Ando geometric means

Anh Thi Nguyen, Trung Dung Vuong, Trung Hoa Dinh

arxiv:2605.26141 v1 · 2026-05-22 · 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{JUX4LMKW23WL4QECQJ2J4ERAAN}

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	2026-05-27T00:04:25.844750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d2fc5b156d6ecbe408282749e12200375ce669de456ff1ff32af880652d7c9e

Aliases

arxiv: 2605.26141 · arxiv_version: 2605.26141v1 · doi: 10.48550/arxiv.2605.26141 · pith_short_12: JUX4LMKW23WL · pith_short_16: JUX4LMKW23WL4QEC · pith_short_8: JUX4LMKW

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/JUX4LMKW23WL4QECQJ2J4ERAAN \
  | 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: 4d2fc5b156d6ecbe408282749e12200375ce669de456ff1ff32af880652d7c9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e5924a71c3ea0c0946be9f1ec67ef8551a361caf0a07323477f57fd1afb65ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-05-22T15:06:04Z",
    "title_canon_sha256": "7c73436858f78346afd17bf06d7f253b5b9a6bc12881f2a87888f06e11e1ca31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26141",
    "kind": "arxiv",
    "version": 1
  }
}