Pith Number

pith:6K5MYH4V

pith:2021:6K5MYH4VDRXF4XVFFQ5SHKIINI

not attested not anchored not stored refs pending

Entropic estimation of optimal transport maps

Aram-Alexandre Pooladian, Jonathan Niles-Weed

arxiv:2109.12004 v3 · 2021-09-24 · math.ST · stat.ML · stat.TH

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\usepackage{pith}
\pithnumber{6K5MYH4VDRXF4XVFFQ5SHKIINI}

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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

19 papers in Pith

Near-Lipschitz stability of the Kim--Milman flow map

Two-Sample Homogeneity Test via Entropic Optimal Transport

A Temporal Spatial Minimax Rate for Smoothly-Varying Distributions in Wasserstein Space

Minimax Private Estimation of Smooth Optimal-Transport Maps

Quadratically Regularized Optimal Transport: Localization Bounds and Affine Case Analysis

Receipt and verification

First computed	2026-07-05T08:17:53.710476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2bacc1f951c6e5e5ea52c3b23a9086a3234a23d05f724117d0b405a5bde2e40

Aliases

arxiv: 2109.12004 · arxiv_version: 2109.12004v3 · doi: 10.48550/arxiv.2109.12004 · pith_short_12: 6K5MYH4VDRXF · pith_short_16: 6K5MYH4VDRXF4XVF · pith_short_8: 6K5MYH4V

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/6K5MYH4VDRXF4XVFFQ5SHKIINI \
  | 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: f2bacc1f951c6e5e5ea52c3b23a9086a3234a23d05f724117d0b405a5bde2e40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3579ffa8cd084709025221808d6cf34c2e85377164167872d64b525f46f1fe2",
    "cross_cats_sorted": [
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2021-09-24T14:57:26Z",
    "title_canon_sha256": "1a4f1ee7cd71f18437b06c901c44e3e07c4a7b9a530ea5ff2942820a49e483d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.12004",
    "kind": "arxiv",
    "version": 3
  }
}