Pith Number

pith:KML22QGZ

pith:2015:KML22QGZITAML4SYGWTOTY4KIS

not attested not anchored not stored refs pending

Asymptotic behavior of densities of unimodal convolution semigroups

Bartosz Trojan, Tomasz Grzywny, Wojciech Cygan

arxiv:1504.08358 v2 · 2015-04-30 · math.PR · 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{KML22QGZITAML4SYGWTOTY4KIS}

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	2026-05-17T23:59:44.776337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5317ad40d944c0c5f25835a6e9e38a4481c8a96da5ad0acddd4be8a804bf6c67

Aliases

arxiv: 1504.08358 · arxiv_version: 1504.08358v2 · doi: 10.48550/arxiv.1504.08358 · pith_short_12: KML22QGZITAM · pith_short_16: KML22QGZITAML4SY · pith_short_8: KML22QGZ

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/KML22QGZITAML4SYGWTOTY4KIS \
  | 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: 5317ad40d944c0c5f25835a6e9e38a4481c8a96da5ad0acddd4be8a804bf6c67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5ccdb92c61a12783d167e44be109a4cb31f9f124668a712e03b0def026521c0",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-30T19:40:00Z",
    "title_canon_sha256": "f3062752470ba94db20bf73d978fbc917c0c6f7a977d23055f64f8a2883df343"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.08358",
    "kind": "arxiv",
    "version": 2
  }
}