Pith Number

pith:PHIR5XV2

pith:2022:PHIR5XV2VRP5QBKOABVFZSDXSH

not attested not anchored not stored refs pending

Limit Theorems for Entropic Optimal Transport Maps and the Sinkhorn Divergence

Gabriel Rioux, Kengo Kato, Ritwik Sadhu, Ziv Goldfeld

arxiv:2207.08683 v2 · 2022-07-18 · math.ST · math.PR · 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{PHIR5XV2VRP5QBKOABVFZSDXSH}

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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

The entropic optimal (self-)transport problem: Limit distributions for decreasing regularization with application to score function estimation

Receipt and verification

First computed	2026-07-05T06:20:35.978111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79d11edebaac5fd8054e006a5cc87791ca90be0231d38f69688beea47cd0efa8

Aliases

arxiv: 2207.08683 · arxiv_version: 2207.08683v2 · doi: 10.48550/arxiv.2207.08683 · pith_short_12: PHIR5XV2VRP5 · pith_short_16: PHIR5XV2VRP5QBKO · pith_short_8: PHIR5XV2

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/PHIR5XV2VRP5QBKOABVFZSDXSH \
  | 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: 79d11edebaac5fd8054e006a5cc87791ca90be0231d38f69688beea47cd0efa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d14589f0e21126d077942b608be10e81600777941e32763f42e4de8417af304",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2022-07-18T15:29:26Z",
    "title_canon_sha256": "31614d63b5a8ccc87eb9e1464f96d5213ebfe8c9d3659430ea4e5d31ec063eb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.08683",
    "kind": "arxiv",
    "version": 2
  }
}