Pith Number

pith:G54QL73J

pith:2020:G54QL73JIGEZK34QH6TGDLNJ4Z

not attested not anchored not stored refs pending

Faster Wasserstein Distance Estimation with the Sinkhorn Divergence

Flavien L\'eger (DMA), Fran\c{c}ois-Xavier Vialard (Univ Gustave Eiffel), Gabriel Peyr\'e (DMA), Lenaic Chizat (LMO), Pierre Roussillon (DMA)

arxiv:2006.08172 v2 · 2020-06-15 · math.OC · math.ST · 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{G54QL73JIGEZK34QH6TGDLNJ4Z}

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.

Cited by

1 paper in Pith

Curvature of optimal transport with respect to the cost and applications to inverse optimal transport

Receipt and verification

First computed	2026-07-05T01:47:31.186552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

377905ff694189956f903fa661ada9e667fff7036251ffc7d85d2062b497c402

Aliases

arxiv: 2006.08172 · arxiv_version: 2006.08172v2 · doi: 10.48550/arxiv.2006.08172 · pith_short_12: G54QL73JIGEZ · pith_short_16: G54QL73JIGEZK34Q · pith_short_8: G54QL73J

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/G54QL73JIGEZK34QH6TGDLNJ4Z \
  | 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: 377905ff694189956f903fa661ada9e667fff7036251ffc7d85d2062b497c402

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3918bf3a83c5128f435966f45a9dc471816e2f52db90bf65a8fd9b0cc7ae6e6",
    "cross_cats_sorted": [
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-06-15T06:58:16Z",
    "title_canon_sha256": "f8a1bcef909bcbbf575a390a8a7f6e2e2b1873126b15f36b6b18c966cbfd37f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.08172",
    "kind": "arxiv",
    "version": 2
  }
}