Pith Number

pith:LZCJ2BVE

pith:2012:LZCJ2BVETPBGMYAQRFONWT4OUX

not attested not anchored not stored refs pending

An extension of the Lowner-Heinz inequality

Hamed Najafi, Mohammad Sal Moslehian

arxiv:1207.2864 v1 · 2012-07-12 · 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{LZCJ2BVETPBGMYAQRFONWT4OUX}

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	2026-05-18T02:38:53.346588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e449d06a49bc2666010895cdb4f8ea5f335321b8f4d31344a28cc7eb07ca916

Aliases

arxiv: 1207.2864 · arxiv_version: 1207.2864v1 · doi: 10.48550/arxiv.1207.2864 · pith_short_12: LZCJ2BVETPBG · pith_short_16: LZCJ2BVETPBGMYAQ · pith_short_8: LZCJ2BVE

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/LZCJ2BVETPBGMYAQRFONWT4OUX \
  | 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: 5e449d06a49bc2666010895cdb4f8ea5f335321b8f4d31344a28cc7eb07ca916

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "254227b9b1b178419ef49b95f7c47fbd58d4c5cd07219740ad3eeccbb8df1e67",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-07-12T07:32:00Z",
    "title_canon_sha256": "83fd1f6d242f3b5c71c68d4466457a2ecd274f8b178407cc6e3fd9d390753900"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2864",
    "kind": "arxiv",
    "version": 1
  }
}