Pith Number

pith:QVD3CVLK

pith:2014:QVD3CVLKEDIEFVTPFHV3DKG63R

not attested not anchored not stored refs pending

An inequality for tensor product of positive operators and its applications

Fuzhen Zhang, Vehbi E. Paksoy, Xaixia Chang

arxiv:1502.05989 v1 · 2014-12-28 · math.FA · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QVD3CVLKEDIEFVTPFHV3DKG63R}

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	2026-05-18T02:26:39.841746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8547b1556a20d042d66f29ebb1a8dedc43406370006e334c50ef7f445980e04a

Aliases

arxiv: 1502.05989 · arxiv_version: 1502.05989v1 · doi: 10.48550/arxiv.1502.05989 · pith_short_12: QVD3CVLKEDIE · pith_short_16: QVD3CVLKEDIEFVTP · pith_short_8: QVD3CVLK

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/QVD3CVLKEDIEFVTPFHV3DKG63R \
  | 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: 8547b1556a20d042d66f29ebb1a8dedc43406370006e334c50ef7f445980e04a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c50ac161f28209e7699fb6e336c43b3b3d395d3a557291ff55c65d5195774bf",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-12-28T14:30:17Z",
    "title_canon_sha256": "6773796562b51fd484bf63e69c60cb51aaaeacacccda2b8f093e50545754314d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05989",
    "kind": "arxiv",
    "version": 1
  }
}