Pith Number

pith:WBSAXYKJ

pith:2018:WBSAXYKJ7X2UAGMUKM5BHFBX4M

not attested not anchored not stored refs pending

On the rate of convergence of empirical measure in $\infty-$Wasserstein distance for unbounded density function

Anning Liu, Jian-Guo Liu, Yulong Lu

arxiv:1807.08365 v2 · 2018-07-22 · math.PR · 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{WBSAXYKJ7X2UAGMUKM5BHFBX4M}

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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

1 paper in Pith

Sample Complexity of Bias Detection with Subsampled Point-to-Subspace Distances

Receipt and verification

First computed	2026-05-18T00:09:05.334530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0640be149fdf5401994533a139437e33642457c8b002bab23bad759a82bcb52

Aliases

arxiv: 1807.08365 · arxiv_version: 1807.08365v2 · doi: 10.48550/arxiv.1807.08365 · pith_short_12: WBSAXYKJ7X2U · pith_short_16: WBSAXYKJ7X2UAGMU · pith_short_8: WBSAXYKJ

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/WBSAXYKJ7X2UAGMUKM5BHFBX4M \
  | 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: b0640be149fdf5401994533a139437e33642457c8b002bab23bad759a82bcb52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0299a821eb724a509f54e5fb6cb142901ae847b67bfb31a71152426aed1ff4c3",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-07-22T20:57:17Z",
    "title_canon_sha256": "fbe2a31f731813a9390221523c2ac4a0c090a28545eb4b7e6aecaae3826a2f14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08365",
    "kind": "arxiv",
    "version": 2
  }
}