Pith Number

pith:Z2LZYMWH

pith:2017:Z2LZYMWHDG2MJLIQSRX5IO22TF

not attested not anchored not stored refs pending

Sharp asymptotic and finite-sample rates of convergence of empirical measures in Wasserstein distance

Francis Bach, Jonathan Weed

arxiv:1707.00087 v1 · 2017-07-01 · 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{Z2LZYMWHDG2MJLIQSRX5IO22TF}

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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

Bounding quantiles of Wasserstein distance between true and empirical measure

Receipt and verification

First computed	2026-05-18T00:41:06.529265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce979c32c719b4c4ad10946fd43b5a9951c8f88ce8cee1dd48e121cf2071daf6

Aliases

arxiv: 1707.00087 · arxiv_version: 1707.00087v1 · doi: 10.48550/arxiv.1707.00087 · pith_short_12: Z2LZYMWHDG2M · pith_short_16: Z2LZYMWHDG2MJLIQ · pith_short_8: Z2LZYMWH

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/Z2LZYMWHDG2MJLIQSRX5IO22TF \
  | 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: ce979c32c719b4c4ad10946fd43b5a9951c8f88ce8cee1dd48e121cf2071daf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "203d0e277df35fcb193ab416396d273a4f143a22e697d9e626fc52bae9ae69b6",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-07-01T02:44:53Z",
    "title_canon_sha256": "5bf51d82bbd29d23e4e90dd54b9bdfc464415409ccc76f1f398282dba8f35ea4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.00087",
    "kind": "arxiv",
    "version": 1
  }
}