Pith Number

pith:Z7OAPMMM

pith:2018:Z7OAPMMM63KZMABKGMSJD5TQPX

not attested not anchored not stored refs pending

A Central Limit Theorem for $L_p$ transportation cost with applications to Fairness Assessment in Machine Learning

Eustasio del Barrio, Jean-Michel Loubes, Paula Gordaliza

arxiv:1807.06796 v1 · 2018-07-18 · 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{Z7OAPMMM63KZMABKGMSJD5TQPX}

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	2026-05-18T00:10:25.751013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfdc07b18cf6d596002a332491f6707dd09af6f7a743fa7c47a49d06b2bae80d

Aliases

arxiv: 1807.06796 · arxiv_version: 1807.06796v1 · doi: 10.48550/arxiv.1807.06796 · pith_short_12: Z7OAPMMM63KZ · pith_short_16: Z7OAPMMM63KZMABK · pith_short_8: Z7OAPMMM

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/Z7OAPMMM63KZMABKGMSJD5TQPX \
  | 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: cfdc07b18cf6d596002a332491f6707dd09af6f7a743fa7c47a49d06b2bae80d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d47cb3dfee1a8541f255f54dc9657136ed5d928114fbe6fc6751b87ffb644f4",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2018-07-18T07:02:08Z",
    "title_canon_sha256": "068724f9cc1e9103ed6636aef8837c0e5b5711361aab52988a3d68180be5c9f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.06796",
    "kind": "arxiv",
    "version": 1
  }
}