Pith Number

pith:F5EOQVBP

pith:2019:F5EOQVBPXMUQZOBVORY3A3TKAI

not attested not anchored not stored refs pending

Algebra of convolution type operators with continuous data on Banach function spaces

Alexei Yu. Karlovich, Cl\'audio A. Fernandes, Yuri I. Karlovich

arxiv:1908.07754 v1 · 2019-08-21 · 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{F5EOQVBPXMUQZOBVORY3A3TKAI}

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	2026-07-04T23:59:00.902738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f48e8542fbb290cb8357471b06e6a02299355a3663b85ae307748c885c50644

Aliases

arxiv: 1908.07754 · arxiv_version: 1908.07754v1 · doi: 10.48550/arxiv.1908.07754 · pith_short_12: F5EOQVBPXMUQ · pith_short_16: F5EOQVBPXMUQZOBV · pith_short_8: F5EOQVBP

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/F5EOQVBPXMUQZOBVORY3A3TKAI \
  | 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: 2f48e8542fbb290cb8357471b06e6a02299355a3663b85ae307748c885c50644

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7618d13705c17cb6e45e85a6ee553295f5f1ad1b8f2590aa6b9805680a972eb3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-08-21T09:02:49Z",
    "title_canon_sha256": "1cb6925030ef7b579c467fb8d9ded26f5668129378764f0261e9f9f0e27b60b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07754",
    "kind": "arxiv",
    "version": 1
  }
}