Pith Number

pith:Z5S7MMON

pith:2025:Z5S7MMON6XF5VROGFZSDGCW3QL

not attested not anchored not stored refs pending

Distributional Limit Theory for Optimal Transport

Alberto Gonz\'alez-Sanz, David Rodr\'iguez-V\'itores, Eustasio del Barrio, Jean-Michel Loubes

arxiv:2505.19104 v1 · 2025-05-25 · 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{Z5S7MMON6XF5VROGFZSDGCW3QL}

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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.

Cited by

1 paper in Pith

Finite-sample bounds for regularized optimal transport

Receipt and verification

First computed	2026-07-05T11:09:24.938912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf65f631cdf5cbdac5c62e64330adb82d7123bd4d3ec9b66ef9c3c644bd97175

Aliases

arxiv: 2505.19104 · arxiv_version: 2505.19104v1 · doi: 10.48550/arxiv.2505.19104 · pith_short_12: Z5S7MMON6XF5 · pith_short_16: Z5S7MMON6XF5VROG · pith_short_8: Z5S7MMON

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/Z5S7MMON6XF5VROGFZSDGCW3QL \
  | 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: cf65f631cdf5cbdac5c62e64330adb82d7123bd4d3ec9b66ef9c3c644bd97175

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c03b044f8a9755e701d6ad55f78c2a7289984ce754b9c3e7d3d661963e96d028",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-05-25T11:45:36Z",
    "title_canon_sha256": "5f609c2a6b1e41be2407ab902f4fb77dd10df438c7c59073af7515f5045ef6c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.19104",
    "kind": "arxiv",
    "version": 1
  }
}