Pith Number

pith:6SMNYJJ2

pith:2018:6SMNYJJ2FZCTJHA3RYZ2GIFUQA

not attested not anchored not stored refs pending

Schoenberg coefficients and curvature at the origin of continuous isotropic positive definite kernels on spheres

Ahmed Arafat, Emilio Porcu, Pablo Gregori

arxiv:1807.02363 v1 · 2018-07-06 · math.ST · math.FA · 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{6SMNYJJ2FZCTJHA3RYZ2GIFUQA}

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	2026-05-18T00:11:22.310182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f498dc253a2e45349c1b8e33a320b480372319952a5913d0c5dfed9045f92b57

Aliases

arxiv: 1807.02363 · arxiv_version: 1807.02363v1 · doi: 10.48550/arxiv.1807.02363 · pith_short_12: 6SMNYJJ2FZCT · pith_short_16: 6SMNYJJ2FZCTJHA3 · pith_short_8: 6SMNYJJ2

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/6SMNYJJ2FZCTJHA3RYZ2GIFUQA \
  | 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: f498dc253a2e45349c1b8e33a320b480372319952a5913d0c5dfed9045f92b57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06220ff258d7ab85912291be1cd81346751bacc371f0ac48aa2529d294d62ee7",
    "cross_cats_sorted": [
      "math.FA",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2018-07-06T11:37:09Z",
    "title_canon_sha256": "6acaab01322220c49224ab792fd600686eacd61000ce92c6c25e8daeddefb75a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.02363",
    "kind": "arxiv",
    "version": 1
  }
}