Pith Number

pith:KEH2HH72

pith:2025:KEH2HH72GVIZ2VACMXQTZ5RGRB

not attested not anchored not stored refs pending

An improved central limit theorem for the empirical sliced Wasserstein distance

David Rodr\'iguez-V\'itores, Eustasio del Barrio, Jean-Michel Loubes

arxiv:2503.18831 v3 · 2025-03-24 · 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{KEH2HH72GVIZ2VACMXQTZ5RGRB}

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	2026-05-21T02:04:48.178382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

510fa39ffa35519d540265e13cf626886e01b93b42abe9325a9e10812f2d80f5

Aliases

arxiv: 2503.18831 · arxiv_version: 2503.18831v3 · doi: 10.48550/arxiv.2503.18831 · pith_short_12: KEH2HH72GVIZ · pith_short_16: KEH2HH72GVIZ2VAC · pith_short_8: KEH2HH72

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/KEH2HH72GVIZ2VACMXQTZ5RGRB \
  | 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: 510fa39ffa35519d540265e13cf626886e01b93b42abe9325a9e10812f2d80f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6343d94904417c071d5d3b7c6491efecc133ed6ceb719dea117a0f78349594a",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-03-24T16:08:57Z",
    "title_canon_sha256": "6e1fe5dd261bfc22be1bd69946e7a57b1fa870702b07c47ef4c9b783a53934dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.18831",
    "kind": "arxiv",
    "version": 3
  }
}