Pith Number

pith:NU25ZIET

pith:2020:NU25ZIETLS45PW3YP7NPDESRSV

not attested not anchored not stored refs pending

On Projection Robust Optimal Transport: Sample Complexity and Model Misspecification

Elynn Y. Chen, Marco Cuturi, Michael I. Jordan, Tianyi Lin, Zeyu Zheng

arxiv:2006.12301 v5 · 2020-06-22 · math.ST · cs.LG · stat.ML · 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{NU25ZIETLS45PW3YP7NPDESRSV}

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	2026-07-05T02:58:35.358499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d35dca0935cb9d7db787fdaf192519574873d9f4b56a83763147147cd0bb1a8

Aliases

arxiv: 2006.12301 · arxiv_version: 2006.12301v5 · doi: 10.48550/arxiv.2006.12301 · pith_short_12: NU25ZIETLS45 · pith_short_16: NU25ZIETLS45PW3Y · pith_short_8: NU25ZIET

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/NU25ZIETLS45PW3YP7NPDESRSV \
  | 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: 6d35dca0935cb9d7db787fdaf192519574873d9f4b56a83763147147cd0bb1a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41bf93cfc3bfc6a9ea9f42e347806ec214f4ccaf4234bfa031951975e947fe69",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2020-06-22T14:35:33Z",
    "title_canon_sha256": "c6c1972ed7493991f09cee863985404f31002de371fb671c36d03dbf093209c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.12301",
    "kind": "arxiv",
    "version": 5
  }
}