Pith Number

pith:4J2CMUIH

pith:2014:4J2CMUIHPEFURBXWO3ANJKXM33

not attested not anchored not stored refs pending

Uniqueness of the maximal ideal of operators on the $\ell_p$-sum of $\ell_\infty^n\ (n\in\mathbb{N})$ for $1<p<\infty$

Niels Jakob Laustsen, Tomasz Kania

arxiv:1405.5715 v1 · 2014-05-22 · 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{4J2CMUIHPEFURBXWO3ANJKXM33}

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	2026-05-18T01:17:44.311090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e274265107790b4886f676c0d4aaecdededa4214a9af46519e243e887fde4448

Aliases

arxiv: 1405.5715 · arxiv_version: 1405.5715v1 · doi: 10.48550/arxiv.1405.5715 · pith_short_12: 4J2CMUIHPEFU · pith_short_16: 4J2CMUIHPEFURBXW · pith_short_8: 4J2CMUIH

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/4J2CMUIHPEFURBXWO3ANJKXM33 \
  | 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: e274265107790b4886f676c0d4aaecdededa4214a9af46519e243e887fde4448

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "559355b94ef1f8725769f2bd65ec770ab39c383e9dc235195337136519a63e3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-05-22T11:27:39Z",
    "title_canon_sha256": "73060293f2541fa209fdee80b71824842f81b543879d0351ca4016b79de769bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.5715",
    "kind": "arxiv",
    "version": 1
  }
}