Pith Number

pith:VDZ7OMYL

pith:2015:VDZ7OMYLGRUVZJN3ZFCYVWBWVK

not attested not anchored not stored refs pending

On New Refinements and Reverses of Young's Operator Inequality

Silvestru Sever Dragomir

arxiv:1510.01314 v1 · 2015-10-05 · 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{VDZ7OMYLGRUVZJN3ZFCYVWBWVK}

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	2026-05-18T01:30:57.213690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8f3f7330b34695ca5bbc9458ad836aabed16111f6ef7d9ac8335703c57424ba

Aliases

arxiv: 1510.01314 · arxiv_version: 1510.01314v1 · doi: 10.48550/arxiv.1510.01314 · pith_short_12: VDZ7OMYLGRUV · pith_short_16: VDZ7OMYLGRUVZJN3 · pith_short_8: VDZ7OMYL

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/VDZ7OMYLGRUVZJN3ZFCYVWBWVK \
  | 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: a8f3f7330b34695ca5bbc9458ad836aabed16111f6ef7d9ac8335703c57424ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37ada56848afede326235d17d9112b8f8d6daa236df7d24dbf29ffc46e13d560",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-10-05T08:53:43Z",
    "title_canon_sha256": "5616c71954abf65a9f3bebdb5478e0eb1fd402891a3a8a03df3cc9a1dc0a3202"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01314",
    "kind": "arxiv",
    "version": 1
  }
}