Pith Number

pith:ENEPDE7F

pith:2025:ENEPDE7FAQAIYFMMTWLBBZTE6G

not attested not anchored not stored refs pending

Schoenberg characterization of continuous non-stationary isotropic positive definite kernels

Felix Benning, Max David Sch\"olpple

arxiv:2506.22048 v1 · 2025-06-27 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ENEPDE7FAQAIYFMMTWLBBZTE6G}

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	2026-07-05T11:28:21.105201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2348f193e504008c158c9d9610e664f19076a49f8b5a7110a815e40060571142

Aliases

arxiv: 2506.22048 · arxiv_version: 2506.22048v1 · doi: 10.48550/arxiv.2506.22048 · pith_short_12: ENEPDE7FAQAI · pith_short_16: ENEPDE7FAQAIYFMM · pith_short_8: ENEPDE7F

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/ENEPDE7FAQAIYFMMTWLBBZTE6G \
  | 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: 2348f193e504008c158c9d9610e664f19076a49f8b5a7110a815e40060571142

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24100fb3662d6ee34c68c39498cfe89d4498031972369c3ebb6067f0f23e939c",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-06-27T09:44:58Z",
    "title_canon_sha256": "9bfd548c02e20f52de2475777d92b759762bb401531ac12ec20197c2ecfe04b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.22048",
    "kind": "arxiv",
    "version": 1
  }
}