Pith Number

pith:57DCZ6DJ

pith:2023:57DCZ6DJRL73LHOFXFVHTB6COP

not attested not anchored not stored refs pending

Central Limit Theorems for Smooth Optimal Transport Maps

Jonathan Niles-Weed, Larry Wasserman, Sivaraman Balakrishnan, Tudor Manole

arxiv:2312.12407 v2 · 2023-12-19 · math.PR · math.AP · 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{57DCZ6DJRL73LHOFXFVHTB6COP}

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

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

Receipt and verification

First computed	2026-07-05T09:07:45.076443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efc62cf8698affb59dc5b96a7987c273d007a240ed28b0cb76e68d069c05f539

Aliases

arxiv: 2312.12407 · arxiv_version: 2312.12407v2 · doi: 10.48550/arxiv.2312.12407 · pith_short_12: 57DCZ6DJRL73 · pith_short_16: 57DCZ6DJRL73LHOF · pith_short_8: 57DCZ6DJ

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/57DCZ6DJRL73LHOFXFVHTB6COP \
  | 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: efc62cf8698affb59dc5b96a7987c273d007a240ed28b0cb76e68d069c05f539

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d080550aafb8ae5df2d6d3eaf783d27cf5e60fd15250bd7f224dc130cf838fe",
    "cross_cats_sorted": [
      "math.AP",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-12-19T18:41:47Z",
    "title_canon_sha256": "0c50c32583bddf691a09d39f2c64b1b77a0a327cd06670b5248db9589a664482"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.12407",
    "kind": "arxiv",
    "version": 2
  }
}