Pith Number

pith:7XNR3Q5S

pith:2016:7XNR3Q5SFOEEFL4ARUJ5VQ4NOJ

not attested not anchored not stored refs pending

Generalizations of Kaplansky Theorem for some (p,k)-Quasihyponormal Operators

Abdelkader Benali, Ould Ahmed Mahmoud Sid Ahmed

arxiv:1602.02748 v1 · 2016-02-08 · 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{7XNR3Q5SFOEEFL4ARUJ5VQ4NOJ}

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	2026-05-18T01:21:08.197079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fddb1dc3b22b8842af808d13dac38d724b16220f18983343f2cfd413e9167b9f

Aliases

arxiv: 1602.02748 · arxiv_version: 1602.02748v1 · doi: 10.48550/arxiv.1602.02748 · pith_short_12: 7XNR3Q5SFOEE · pith_short_16: 7XNR3Q5SFOEEFL4A · pith_short_8: 7XNR3Q5S

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/7XNR3Q5SFOEEFL4ARUJ5VQ4NOJ \
  | 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: fddb1dc3b22b8842af808d13dac38d724b16220f18983343f2cfd413e9167b9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e32268907c61fda0808b3033654922b6dab838c6ba077dd82759f267613641c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-02-08T15:33:41Z",
    "title_canon_sha256": "dfc6c1791591036bd051dcbf5bcd1c42a562dab914fb25a0cd4a55a998f7e2de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02748",
    "kind": "arxiv",
    "version": 1
  }
}