Pith Number

pith:ALXBNF4C

pith:2021:ALXBNF4CFHMFPVMAGX2W6L26CV

not attested not anchored not stored refs pending

Limit Distribution Theory for the Smooth 1-Wasserstein Distance with Applications

Kengo Kato, Ritwik Sadhu, Ziv Goldfeld

arxiv:2107.13494 v5 · 2021-07-28 · math.ST · math.PR · stat.ML · stat.TH

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ALXBNF4CFHMFPVMAGX2W6L26CV}

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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.

Cited by

2 papers in Pith

Two-Sample Inference for Gaussian-Smoothed Wasserstein Costs with Finite Moments

Receipt and verification

First computed	2026-07-05T04:00:02.559617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02ee16978229d857d58035f56f2f5e1542a71b994089895474d43686b35e1cbf

Aliases

arxiv: 2107.13494 · arxiv_version: 2107.13494v5 · doi: 10.48550/arxiv.2107.13494 · pith_short_12: ALXBNF4CFHMF · pith_short_16: ALXBNF4CFHMFPVMA · pith_short_8: ALXBNF4C

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/ALXBNF4CFHMFPVMAGX2W6L26CV \
  | 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: 02ee16978229d857d58035f56f2f5e1542a71b994089895474d43686b35e1cbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acd54637234d63453fa61b3a933e4551be8654387e8f1c6caa355d5733740966",
    "cross_cats_sorted": [
      "math.PR",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2021-07-28T17:02:24Z",
    "title_canon_sha256": "be0841c22ba4a88e6efd1d0b61ad240c1302a3cebfe4d59f2bab7bc0b95f97ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.13494",
    "kind": "arxiv",
    "version": 5
  }
}