Pith Number

pith:CECTK3M5

pith:2026:CECTK3M5UWG4J4CDXOEW7MAHZV

not attested not anchored not stored refs pending

Wasserstein Exponential Smoothing

Minh-Ngoc Tran, Peiwen Jiang, Takuo Matsubara, Wilson Ye Chen

arxiv:2606.05560 v1 · 2026-06-04 · stat.ME · math.ST · stat.ML · 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{CECTK3M5UWG4J4CDXOEW7MAHZV}

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	2026-06-05T01:14:54.779481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1105356d9da58dc4f043bb896fb007cd55efa87e4b0f9dd957e736f80ad1a1c8

Aliases

arxiv: 2606.05560 · arxiv_version: 2606.05560v1 · doi: 10.48550/arxiv.2606.05560 · pith_short_12: CECTK3M5UWG4 · pith_short_16: CECTK3M5UWG4J4CD · pith_short_8: CECTK3M5

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/CECTK3M5UWG4J4CDXOEW7MAHZV \
  | 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: 1105356d9da58dc4f043bb896fb007cd55efa87e4b0f9dd957e736f80ad1a1c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72e1c8a22af6777862c1fedd72e7cecaffeef7521c7f4946aebefb7369afbeab",
    "cross_cats_sorted": [
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-06-04T01:14:22Z",
    "title_canon_sha256": "8e42de9bae9356de69e5edf95cfd82dcc5ab8ed96cdabea39f39b2661e5fe7dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05560",
    "kind": "arxiv",
    "version": 1
  }
}