Pith Number

pith:LKEK2QPP

pith:2018:LKEK2QPPVCEGY3OEKEEPIIJ4QL

not attested not anchored not stored refs pending

An exponential kernel associated with operators that have one-dimensional self-commutators

Kevin F. Clancey

arxiv:1808.09487 v1 · 2018-08-28 · math.FA · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LKEK2QPPVCEGY3OEKEEPIIJ4QL}

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	2026-05-18T00:06:55.432391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a88ad41efa8886c6dc45108f4213c82d2c1af8b0c1c6afc5c32f54cffa4e162

Aliases

arxiv: 1808.09487 · arxiv_version: 1808.09487v1 · doi: 10.48550/arxiv.1808.09487 · pith_short_12: LKEK2QPPVCEG · pith_short_16: LKEK2QPPVCEGY3OE · pith_short_8: LKEK2QPP

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/LKEK2QPPVCEGY3OEKEEPIIJ4QL \
  | 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: 5a88ad41efa8886c6dc45108f4213c82d2c1af8b0c1c6afc5c32f54cffa4e162

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f699e5fe0526161819137978fcf3fc0c581cc1487f3df5bf01b07778961938b4",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-08-28T18:44:54Z",
    "title_canon_sha256": "03b685643c585f79e2fe6b0bdb1bba92092ce66434dfc6f7482932648e4c72fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09487",
    "kind": "arxiv",
    "version": 1
  }
}