Pith Number

pith:HBDT6QY7

pith:2020:HBDT6QY7GMCP6YAOFDUWXP4DRA

not attested not anchored not stored refs pending

The statistical effect of entropic regularization in optimal transportation

Eustasio del Barrio, Jean-Michel Loubes

arxiv:2006.05199 v2 · 2020-06-09 · math.ST · cs.LG · math.OC · 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{HBDT6QY7GMCP6YAOFDUWXP4DRA}

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

Optimal Transport with Heterogeneously Missing Data

Receipt and verification

First computed	2026-07-05T01:10:16.264574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38473f431f3304ff600e28e96bbf838830085df9d8ceb7a2d25183a4d6bb2cce

Aliases

arxiv: 2006.05199 · arxiv_version: 2006.05199v2 · doi: 10.48550/arxiv.2006.05199 · pith_short_12: HBDT6QY7GMCP · pith_short_16: HBDT6QY7GMCP6YAO · pith_short_8: HBDT6QY7

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/HBDT6QY7GMCP6YAOFDUWXP4DRA \
  | 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: 38473f431f3304ff600e28e96bbf838830085df9d8ceb7a2d25183a4d6bb2cce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02f4ec05df133b126e1607bf30c30a597d54dba83c7e0aef625ceb865c5fd47e",
    "cross_cats_sorted": [
      "cs.LG",
      "math.OC",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2020-06-09T11:48:37Z",
    "title_canon_sha256": "af03551eb0fb80daa73cd8d6bc64bf1fd7378c30a4484f8d2b55d30ec7cc8f1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.05199",
    "kind": "arxiv",
    "version": 2
  }
}