Pith Number

pith:SMLHENGS

pith:2025:SMLHENGSXDA242VGWNOGNRMJ66

not attested not anchored not stored refs pending

Procrustes Wasserstein Metric: A Modified Benamou-Brenier Approach with Applications to Latent Gaussian Distributions

Kevine Meugang Toukam

arxiv:2503.16580 v1 · 2025-03-20 · stat.ML · cs.LG · math.OC · math.PR · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SMLHENGSXDA242VGWNOGNRMJ66}

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	2026-07-05T10:36:44.545692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93167234d2b8c1ae6aa6b35c66c589f79b4d397f71a37e0dba297dde98f55ea2

Aliases

arxiv: 2503.16580 · arxiv_version: 2503.16580v1 · doi: 10.48550/arxiv.2503.16580 · pith_short_12: SMLHENGSXDA2 · pith_short_16: SMLHENGSXDA242VG · pith_short_8: SMLHENGS

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/SMLHENGSXDA242VGWNOGNRMJ66 \
  | 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: 93167234d2b8c1ae6aa6b35c66c589f79b4d397f71a37e0dba297dde98f55ea2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53021611b07745659eb4bfd41b84ba181378b15a3732a3b62abe620c67e0d514",
    "cross_cats_sorted": [
      "cs.LG",
      "math.OC",
      "math.PR",
      "stat.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2025-03-20T12:34:22Z",
    "title_canon_sha256": "07aca9f4ed5616dbcddf394335cb32d8630d47fb752d4734142a8ee3d1b125d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.16580",
    "kind": "arxiv",
    "version": 1
  }
}