Pith Number

pith:4C7R22NC

pith:2026:4C7R22NC7KPGVRPDYSQL5HQ6XC

not attested not anchored not stored refs pending

Minimax Private Estimation of Smooth Optimal-Transport Maps

Cl\'ement Lalanne, David Rodr\'iguez-V\'itores, Franck Iutzeler, Jean-Michel Loubes

arxiv:2606.04683 v1 · 2026-06-03 · 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{4C7R22NC7KPGVRPDYSQL5HQ6XC}

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	2026-06-04T01:09:24.789581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0bf1d69a2fa9e6ac5e3c4a0be9e1eb89a1ddf98d832c603cd60d89952f8383d

Aliases

arxiv: 2606.04683 · arxiv_version: 2606.04683v1 · doi: 10.48550/arxiv.2606.04683 · pith_short_12: 4C7R22NC7KPG · pith_short_16: 4C7R22NC7KPGVRPD · pith_short_8: 4C7R22NC

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/4C7R22NC7KPGVRPDYSQL5HQ6XC \
  | 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: e0bf1d69a2fa9e6ac5e3c4a0be9e1eb89a1ddf98d832c603cd60d89952f8383d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28bd919cf9b4ffb7fddc450b927128acf9b7711ef94500ef08e27da441e5ff13",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-06-03T10:05:10Z",
    "title_canon_sha256": "d7f6a71634fe1bd3eae2d1bb69fcd355b6da85450ea5190166be67258da2a28c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04683",
    "kind": "arxiv",
    "version": 1
  }
}