Pith Number

pith:J5MNXXYS

pith:2016:J5MNXXYSVB5WGG5POSENWCBMVF

not attested not anchored not stored refs pending

Minimax convergence rate for estimating the Wasserstein barycenter of random measures on the real line

Alfredo L\'opez, J\'er\'emie Bigot, Ra\'ul Gouet, Thierry Klein

arxiv:1606.03933 v2 · 2016-06-13 · 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{J5MNXXYSVB5WGG5POSENWCBMVF}

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	2026-05-18T00:47:42.960183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f58dbdf12a87b631baf7488db082ca974c51ed752978d208b0ebe4359587b9c

Aliases

arxiv: 1606.03933 · arxiv_version: 1606.03933v2 · doi: 10.48550/arxiv.1606.03933 · pith_short_12: J5MNXXYSVB5W · pith_short_16: J5MNXXYSVB5WGG5P · pith_short_8: J5MNXXYS

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/J5MNXXYSVB5WGG5POSENWCBMVF \
  | 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: 4f58dbdf12a87b631baf7488db082ca974c51ed752978d208b0ebe4359587b9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6fd52dd128bf85472a286e0d03065206fb9ce8fb96e16e7b2e8653ad877268d",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-06-13T13:10:03Z",
    "title_canon_sha256": "842f4b6512700789c25d8f79022ab65cae104c41d28f5e77a27c68e2078ae5da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03933",
    "kind": "arxiv",
    "version": 2
  }
}