Pith Number

pith:4JILTCL7

pith:2025:4JILTCL7QRWLIXDFY46M3D5AKQ

not attested not anchored not stored refs pending

Optimal Transport-Based Multivariate Goodness-of-Fit Tests

Simos G. Meintanis, \v{S}\'arka Hudecov\'a, Zden\v{e}k Hl\'avka

arxiv:2507.23490 v2 · 2025-07-31 · 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{4JILTCL7QRWLIXDFY46M3D5AKQ}

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	2026-06-11T01:09:15.698765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e250b9897f846cb45c65c73ccd8fa0540836d320f03eea52e33aec0daac1012d

Aliases

arxiv: 2507.23490 · arxiv_version: 2507.23490v2 · doi: 10.48550/arxiv.2507.23490 · pith_short_12: 4JILTCL7QRWL · pith_short_16: 4JILTCL7QRWLIXDF · pith_short_8: 4JILTCL7

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/4JILTCL7QRWLIXDFY46M3D5AKQ \
  | 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: e250b9897f846cb45c65c73ccd8fa0540836d320f03eea52e33aec0daac1012d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dec3c0917faafd198db188b1073c7ad875cfd0d304f3dc7244dfe71d41def3c6",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-07-31T12:12:14Z",
    "title_canon_sha256": "3e096af5526fc711935e205f49dbe7a74d192c502bad20f57f50bc802682976b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.23490",
    "kind": "arxiv",
    "version": 2
  }
}