Pith Number

pith:5KNEZG4C

pith:2025:5KNEZG4CDMO4OGBV5QKHQLQC2N

not attested not anchored not stored refs pending

Optimal Transport with Heterogeneously Missing Data

Aur\'elien Bellet, Julie Josse, Linus Bleistein

arxiv:2505.17291 v1 · 2025-05-22 · stat.ML · cs.LG · 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{5KNEZG4CDMO4OGBV5QKHQLQC2N}

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	2026-07-05T11:08:23.989466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea9a4c9b821b1dc71835ec14782e02d35fb26f50056599f4ff1040f7b57b2628

Aliases

arxiv: 2505.17291 · arxiv_version: 2505.17291v1 · doi: 10.48550/arxiv.2505.17291 · pith_short_12: 5KNEZG4CDMO4 · pith_short_16: 5KNEZG4CDMO4OGBV · pith_short_8: 5KNEZG4C

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/5KNEZG4CDMO4OGBV5QKHQLQC2N \
  | 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: ea9a4c9b821b1dc71835ec14782e02d35fb26f50056599f4ff1040f7b57b2628

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cba4a50204e32eea70b37934457f0ff5331ded0cba837256a0de1efc2c876b63",
    "cross_cats_sorted": [
      "cs.LG",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2025-05-22T21:16:22Z",
    "title_canon_sha256": "552d610289953fa5edf72195ae4a9de238ccf29edd8d287354f1a6ad8310143f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.17291",
    "kind": "arxiv",
    "version": 1
  }
}