Pith Number

pith:GE7JO7JY

pith:2014:GE7JO7JYXYLN42XSOMPJE3VBOU

not attested not anchored not stored refs pending

Generalizations of Kaplansky Theorem Related to Linear Operators

Abdelkader Benali, Mohammed Hichem Mortad

arxiv:1403.0523 v1 · 2014-03-03 · 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{GE7JO7JYXYLN42XSOMPJE3VBOU}

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	2026-05-18T02:57:24.651727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

313e977d38be16de6af2731e926ea17516ab274af07f34553f2401a9b4e204f6

Aliases

arxiv: 1403.0523 · arxiv_version: 1403.0523v1 · doi: 10.48550/arxiv.1403.0523 · pith_short_12: GE7JO7JYXYLN · pith_short_16: GE7JO7JYXYLN42XS · pith_short_8: GE7JO7JY

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/GE7JO7JYXYLN42XSOMPJE3VBOU \
  | 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: 313e977d38be16de6af2731e926ea17516ab274af07f34553f2401a9b4e204f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "368ae0278a4eecbe3482e04c4381464ea1046bcfec4642a263550e19ce33bf61",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-03-03T18:52:55Z",
    "title_canon_sha256": "984b59a9838c94eb65e0c283d428267a777dcd7efe493fcfcecd254c0472b222"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0523",
    "kind": "arxiv",
    "version": 1
  }
}