Pith Number

pith:GPE4VB67

pith:2015:GPE4VB67EHJNZTKIUIHFN3QHST

not attested not anchored not stored refs pending

Ces\'aro sums and algebra homomorphisms of bounded operators

Carlos Lizama, Luciano Abadias, M. Pilar Velasco, Pedro J. Miana

arxiv:1504.01357 v1 · 2015-04-06 · 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{GPE4VB67EHJNZTKIUIHFN3QHST}

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	2026-05-18T02:19:34.579818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33c9ca87df21d2dccd48a20e56ee0794dcd00463a5558608b44f2445dbee3be9

Aliases

arxiv: 1504.01357 · arxiv_version: 1504.01357v1 · doi: 10.48550/arxiv.1504.01357 · pith_short_12: GPE4VB67EHJN · pith_short_16: GPE4VB67EHJNZTKI · pith_short_8: GPE4VB67

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/GPE4VB67EHJNZTKIUIHFN3QHST \
  | 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: 33c9ca87df21d2dccd48a20e56ee0794dcd00463a5558608b44f2445dbee3be9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6de7b71aafe4a512c34c9a028b629ef1d12d38c4129f5b6d77e91f3fa6601d8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-04-06T19:07:04Z",
    "title_canon_sha256": "41740bb0a9b85621f45b0d38d5d60b461f0b5336a248126f71b6af55602cbfbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01357",
    "kind": "arxiv",
    "version": 1
  }
}