Pith Number

pith:AD3DHBLN

pith:2008:AD3DHBLNBPMSDHSMEM45PUF37K

not attested not anchored not stored refs pending

From Schoenberg to Pick-Nevanlinna: Toward a complete picture of the variogram class

Emilio Porcu, Ren\'e L. Schilling

arxiv:0812.2936 v3 · 2008-12-15 · math.ST · math.PR · 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{AD3DHBLNBPMSDHSMEM45PUF37K}

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	2026-05-18T03:04:14.206162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00f633856d0bd9219e4c2339d7d0bbfa89e8051def48fc238591097cfde95199

Aliases

arxiv: 0812.2936 · arxiv_version: 0812.2936v3 · doi: 10.48550/arxiv.0812.2936 · pith_short_12: AD3DHBLNBPMS · pith_short_16: AD3DHBLNBPMSDHSM · pith_short_8: AD3DHBLN

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/AD3DHBLNBPMSDHSMEM45PUF37K \
  | 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: 00f633856d0bd9219e4c2339d7d0bbfa89e8051def48fc238591097cfde95199

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2eadd9354d4efee91c31fee5c78c395ddfd3cf0421846ec9ba3087fed118f26a",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2008-12-15T22:54:58Z",
    "title_canon_sha256": "80dabda47f5c09c48f442b124c2d299f7998621c0cf499599d3274122aee29d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.2936",
    "kind": "arxiv",
    "version": 3
  }
}