Pith Number

pith:UCPRE5SM

pith:2014:UCPRE5SM6FM7YTJNS4NP5HCMUE

not attested not anchored not stored refs pending

Some Inequalities for Trace Class Operators Via a Kato's Result

Silvestru Sever Dragomir

arxiv:1409.7617 v1 · 2014-09-25 · 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{UCPRE5SM6FM7YTJNS4NP5HCMUE}

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	2026-05-18T02:41:52.260509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a09f12764cf159fc4d2d971afe9c4ca1154402d5f28a11aed8cf9e5deb21e536

Aliases

arxiv: 1409.7617 · arxiv_version: 1409.7617v1 · doi: 10.48550/arxiv.1409.7617 · pith_short_12: UCPRE5SM6FM7 · pith_short_16: UCPRE5SM6FM7YTJN · pith_short_8: UCPRE5SM

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/UCPRE5SM6FM7YTJNS4NP5HCMUE \
  | 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: a09f12764cf159fc4d2d971afe9c4ca1154402d5f28a11aed8cf9e5deb21e536

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d20e6535d85b1764fec93c8957438f50011609feb6e6892b1817fb4e80f9a70a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-09-25T01:13:36Z",
    "title_canon_sha256": "67e3f30072661a70e778d9535c97d6b735dc456507aefef6d1bbebd6699f79f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7617",
    "kind": "arxiv",
    "version": 1
  }
}