Pith Number

pith:XAO5XBP3

pith:2022:XAO5XBP3PS4RDNMTVZ664VYLLS

not attested not anchored not stored refs pending

Low-rank Optimal Transport: Approximation, Statistics and Debiasing

Marco Cuturi, Meyer Scetbon

arxiv:2205.12365 v2 · 2022-05-24 · stat.ML · cs.LG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XAO5XBP3PS4RDNMTVZ664VYLLS}

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.

Receipt and verification

First computed	2026-07-05T04:57:46.608218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b81ddb85fb7cb911b593ae7dee570b5c90731fab4a308dcffeb36f2da24a9ac6

Aliases

arxiv: 2205.12365 · arxiv_version: 2205.12365v2 · doi: 10.48550/arxiv.2205.12365 · pith_short_12: XAO5XBP3PS4R · pith_short_16: XAO5XBP3PS4RDNMT · pith_short_8: XAO5XBP3

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/XAO5XBP3PS4RDNMTVZ664VYLLS \
  | 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: b81ddb85fb7cb911b593ae7dee570b5c90731fab4a308dcffeb36f2da24a9ac6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dbad88c481f0b017472fe0f1c6f8780eae5a1bba055def7f1d9808c4caad56a",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2022-05-24T20:51:37Z",
    "title_canon_sha256": "0a8385d222a1b66fff02d6e5ba27417eba8769283010c02987ec9b4ad392f058"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.12365",
    "kind": "arxiv",
    "version": 2
  }
}