Pith Number

pith:NNS7UZL4

pith:2026:NNS7UZL4HINN2T7OSNP6NQ6WCV

not attested not anchored not stored refs pending

Optimizing Computational-Statistical Runtime for Wasserstein Distance Estimation

Jeff M. Phillips, Peter Matthew Jacobs

arxiv:2605.20122 v1 · 2026-05-19 · stat.ML · cs.CC · 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{NNS7UZL4HINN2T7OSNP6NQ6WCV}

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	2026-05-20T02:06:03.012784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b65fa657c3a1add4fee935fe6c3d615787bf09d9e8136457177291427cdd83d

Aliases

arxiv: 2605.20122 · arxiv_version: 2605.20122v1 · doi: 10.48550/arxiv.2605.20122 · pith_short_12: NNS7UZL4HINN · pith_short_16: NNS7UZL4HINN2T7O · pith_short_8: NNS7UZL4

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/NNS7UZL4HINN2T7OSNP6NQ6WCV \
  | 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: 6b65fa657c3a1add4fee935fe6c3d615787bf09d9e8136457177291427cdd83d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31516f290cbcae77020a754757ff920fa1a6a6171499bb35bc161d792a68f1d3",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-05-19T17:10:47Z",
    "title_canon_sha256": "80c848e265b5de0b34e10eeabf187267ef5bf0c5d8b40bf9c20a1e5aa0569376"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20122",
    "kind": "arxiv",
    "version": 1
  }
}