Pith Number

pith:3JGJFK4Z

pith:2026:3JGJFK4ZDRAKCMLGAXRH6434LG

not attested not anchored not stored refs pending

When is multivariate kriging worthwhile? A design-geometry analysis of heterotopic multi-output Gaussian processes

Jun Fan, Kuo Wang, Zexun Chen

arxiv:2607.06832 v1 · 2026-07-07 · stat.ME · stat.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3JGJFK4ZDRAKCMLGAXRH6434LG}

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	2026-07-09T00:19:30.069380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da4c92ab991c40a1316605e27f737c598e08ce6d3e4ac8c89a2b4d89e9993d68

Aliases

arxiv: 2607.06832 · arxiv_version: 2607.06832v1 · doi: 10.48550/arxiv.2607.06832 · pith_short_12: 3JGJFK4ZDRAK · pith_short_16: 3JGJFK4ZDRAKCMLG · pith_short_8: 3JGJFK4Z

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/3JGJFK4ZDRAKCMLGAXRH6434LG \
  | 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: da4c92ab991c40a1316605e27f737c598e08ce6d3e4ac8c89a2b4d89e9993d68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78e9ac1a5ab86002254e50bfa859072b495a667fb76b29d2c613f19d5d671fe1",
    "cross_cats_sorted": [
      "stat.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-07-07T22:01:37Z",
    "title_canon_sha256": "a013388338cd459d8b921b1f256d7a05e8fd741e3995a46394784f933b1d49ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06832",
    "kind": "arxiv",
    "version": 1
  }
}