Pith Number

pith:7VLIRN7H

pith:2012:7VLIRN7HYW6NF3KDJCZYNIFTFB

not attested not anchored not stored refs pending

More on the Normality of the Unbounded Product of Two Normal Operators

Khaldia Madani, Mohammed Hichem Mortad

arxiv:1202.6142 v4 · 2012-02-28 · 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{7VLIRN7HYW6NF3KDJCZYNIFTFB}

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	2026-05-18T03:55:00.106689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd5688b7e7c5bcd2ed4348b386a0b3284bafb6598a95009de6a10d214521ead2

Aliases

arxiv: 1202.6142 · arxiv_version: 1202.6142v4 · doi: 10.48550/arxiv.1202.6142 · pith_short_12: 7VLIRN7HYW6N · pith_short_16: 7VLIRN7HYW6NF3KD · pith_short_8: 7VLIRN7H

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/7VLIRN7HYW6NF3KDJCZYNIFTFB \
  | 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: fd5688b7e7c5bcd2ed4348b386a0b3284bafb6598a95009de6a10d214521ead2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a763df8c47d132a71f1b31d66bf9a1ccc3c7798ad72cac411350a6c8e7083e4",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-02-28T08:00:19Z",
    "title_canon_sha256": "e0c0276762bacc27c65fa315b40bb50584475caa89b42ee8f11cb226fee8834e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.6142",
    "kind": "arxiv",
    "version": 4
  }
}