Pith Number

pith:JXB7BMDV

pith:2025:JXB7BMDV27BWKGWZ2XPUW62GTO

not attested not anchored not stored refs pending

Computing Optimal Transport Maps and Wasserstein Barycenters Using Conditional Normalizing Flows

Gabriele Visentin, Patrick Cheridito

arxiv:2505.22364 v1 · 2025-05-28 · stat.ML · cs.LG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JXB7BMDV27BWKGWZ2XPUW62GTO}

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	2026-07-05T11:11:13.958738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4dc3f0b075d7c3651ad9d5df4b7b469b9c78a7c3cf6ff17bb486cd5662ede920

Aliases

arxiv: 2505.22364 · arxiv_version: 2505.22364v1 · doi: 10.48550/arxiv.2505.22364 · pith_short_12: JXB7BMDV27BW · pith_short_16: JXB7BMDV27BWKGWZ · pith_short_8: JXB7BMDV

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/JXB7BMDV27BWKGWZ2XPUW62GTO \
  | 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: 4dc3f0b075d7c3651ad9d5df4b7b469b9c78a7c3cf6ff17bb486cd5662ede920

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1fad4dde612fd138d927a1e344ff5779b1b4fb85b3057525196adec21ed89fe",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2025-05-28T13:46:07Z",
    "title_canon_sha256": "cddb024388844ced440d7db3ef5ff38d4bb73a25aa86f443546ca83ccb227480"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.22364",
    "kind": "arxiv",
    "version": 1
  }
}