Pith Number

pith:MMZORW7O

pith:2022:MMZORW7OJQPH7V7YG32QYYR6RH

not attested not anchored not stored refs pending

Gromov-Wasserstein Distances: Entropic Regularization, Duality, and Sample Complexity

Bharath K. Sriperumbudur, Youssef Mroueh, Zhengxin Zhang, Ziv Goldfeld

arxiv:2212.12848 v3 · 2022-12-25 · 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{MMZORW7OJQPH7V7YG32QYYR6RH}

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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

Neural Estimation for Scaling Entropic Multimarginal Optimal Transport

Receipt and verification

First computed	2026-07-05T06:55:21.928744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6332e8dbee4c1e7fd7f836f50c623e89e43f24a51285df2e1022c2737df4347a

Aliases

arxiv: 2212.12848 · arxiv_version: 2212.12848v3 · doi: 10.48550/arxiv.2212.12848 · pith_short_12: MMZORW7OJQPH · pith_short_16: MMZORW7OJQPH7V7Y · pith_short_8: MMZORW7O

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/MMZORW7OJQPH7V7YG32QYYR6RH \
  | 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: 6332e8dbee4c1e7fd7f836f50c623e89e43f24a51285df2e1022c2737df4347a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4c4ca998fbca5404bdc8affa2c4d4a8898ae881d2ac249f053087f1b3685627",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2022-12-25T03:30:47Z",
    "title_canon_sha256": "8922ac0b8876c4c8b0993cbec25fd5e2ebf90c68a2fb66e208fe6446e6817164"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.12848",
    "kind": "arxiv",
    "version": 3
  }
}