Pith Number

pith:XGITMKIF

pith:2026:XGITMKIFFQHL2XJ4BW25XWRWZF

not attested not anchored not stored refs pending

Wasserstein Least Squares: A Canonical Regression Method for Probability Distributions

Jonathan Niles-Weed, Uriel Mart\'inez Le\'on

arxiv:2605.30266 v1 · 2026-05-28 · 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{XGITMKIFFQHL2XJ4BW25XWRWZF}

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	2026-05-29T02:06:14.545698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9913629052c0ebd5d3c0db5dbda36c96173b433876225b71c4faff0a9540ca2

Aliases

arxiv: 2605.30266 · arxiv_version: 2605.30266v1 · doi: 10.48550/arxiv.2605.30266 · pith_short_12: XGITMKIFFQHL · pith_short_16: XGITMKIFFQHL2XJ4 · pith_short_8: XGITMKIF

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/XGITMKIFFQHL2XJ4BW25XWRWZF \
  | 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: b9913629052c0ebd5d3c0db5dbda36c96173b433876225b71c4faff0a9540ca2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edf1ca543621e8f95f5c08277585b21ac2fe8cb4f27f65c65e2b63328e59e50b",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-05-28T17:28:30Z",
    "title_canon_sha256": "e7fba22cded6967c60b62737b234937d8f2038be2ad1a4ed2b747b9e0796bd7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30266",
    "kind": "arxiv",
    "version": 1
  }
}