Pith Number

pith:5GJUNS35

pith:2019:5GJUNS35OJ6P2FH7L3LLZLL2BE

not attested not anchored not stored refs pending

Minimax estimation of smooth densities in Wasserstein distance

Jonathan Niles-Weed, Quentin Berthet

arxiv:1902.01778 v4 · 2019-02-05 · 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{5GJUNS35OJ6P2FH7L3LLZLL2BE}

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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

On the Minimax Optimality of Estimating the Wasserstein Metric

Receipt and verification

First computed	2026-07-05T00:59:02.309520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e99346cb7d727cfd14ff5ed6bcad7a091ffc4c5dda646773199ec28dd9ebe7c8

Aliases

arxiv: 1902.01778 · arxiv_version: 1902.01778v4 · doi: 10.48550/arxiv.1902.01778 · pith_short_12: 5GJUNS35OJ6P · pith_short_16: 5GJUNS35OJ6P2FH7 · pith_short_8: 5GJUNS35

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/5GJUNS35OJ6P2FH7L3LLZLL2BE \
  | 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: e99346cb7d727cfd14ff5ed6bcad7a091ffc4c5dda646773199ec28dd9ebe7c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c74d4f4b20861c6c93ba9afa780785240d333d9c028399d7833f74d385590451",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2019-02-05T16:40:12Z",
    "title_canon_sha256": "255635f6efcdc24074ec15d8fceb98716f92eb21d94a837a31f0d520b0f41d55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.01778",
    "kind": "arxiv",
    "version": 4
  }
}