Pith Number

pith:4HGNU6BP

pith:2019:4HGNU6BPGWDK6CMU57SCDHB2LK

not attested not anchored not stored refs pending

Sinkhorn Divergences for Unbalanced Optimal Transport

Alain Trouv\'e, Fran\c{c}ois-Xavier Vialard, Gabriel Peyr\'e, Jean Feydy, Thibault S\'ejourn\'e

arxiv:1910.12958 v3 · 2019-10-28 · math.OC · cs.LG · stat.ML

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4HGNU6BPGWDK6CMU57SCDHB2LK}

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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

9 papers in Pith

Sample complexity of unbalanced entropic OT

TimeLAVA: Learning-Agnostic Valuation for Time Series Data

Effective dynamics of the Sinkhorn algorithm in the regime of low entropy regularization

TimeLAVA: Learning-Agnostic Valuation for Time Series Data

Sharp $O(1/k)$ convergence rate for the Sinkhorn algorithm via a local analysis

Receipt and verification

First computed	2026-07-05T05:33:02.857987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1ccda782f3586af0994efe4219c3a5ab3c53a237cce28d2768b0df9f3f5a97f

Aliases

arxiv: 1910.12958 · arxiv_version: 1910.12958v3 · doi: 10.48550/arxiv.1910.12958 · pith_short_12: 4HGNU6BPGWDK · pith_short_16: 4HGNU6BPGWDK6CMU · pith_short_8: 4HGNU6BP

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/4HGNU6BPGWDK6CMU57SCDHB2LK \
  | 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: e1ccda782f3586af0994efe4219c3a5ab3c53a237cce28d2768b0df9f3f5a97f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4b1f589e60cb7d137dcdc391edc2b42a58b2b520e11f7d16b35c72d51da71f6",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-10-28T20:40:37Z",
    "title_canon_sha256": "70857554d22503530295c4edc3a1f38d35eeda4dfab78638a4f37e208a09a23e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.12958",
    "kind": "arxiv",
    "version": 3
  }
}