Pith Number

pith:LQ4GYVPO

pith:2014:LQ4GYVPOX7TCRKAMSZLHGDMMCN

not attested not anchored not stored refs pending

The algebra of bounded linear operators on $\ell_p\oplus\ell_q$ has infinitely many closed ideals

Andr\'as Zs\'ak, Thomas Schlumprecht

arxiv:1409.3480 v1 · 2014-09-11 · 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{LQ4GYVPOX7TCRKAMSZLHGDMMCN}

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	2026-05-18T02:43:01.213115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c386c55eebfe628a80c9656730d8c135f7fcf083351ec269da04b25b206ef37

Aliases

arxiv: 1409.3480 · arxiv_version: 1409.3480v1 · doi: 10.48550/arxiv.1409.3480 · pith_short_12: LQ4GYVPOX7TC · pith_short_16: LQ4GYVPOX7TCRKAM · pith_short_8: LQ4GYVPO

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/LQ4GYVPOX7TCRKAMSZLHGDMMCN \
  | 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: 5c386c55eebfe628a80c9656730d8c135f7fcf083351ec269da04b25b206ef37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95b398b6ec16c466fd5303bfcc5a0c5d5992082eaed857702d7d5259e43767a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-09-11T15:42:10Z",
    "title_canon_sha256": "82e36fbf69bbaab56259444f80ad7018a5bff89659e5366c9e203cde988b20a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.3480",
    "kind": "arxiv",
    "version": 1
  }
}