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Pith Number

pith:JTHWQAUG

pith:2019:JTHWQAUGYHWSZTDHOM7HPKNKW4
not attested not anchored not stored refs pending

Fast convergence of empirical barycenters in Alexandrov spaces and the Wasserstein space

Austin J. Stromme, Philippe Rigollet, Quentin Paris, Thibaut Le Gouic

arxiv:1908.00828 v4 · 2019-08-02 · math.ST · math.MG · stat.TH

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JTHWQAUGYHWSZTDHOM7HPKNKW4}

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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

Receipt and verification
First computed 2026-07-05T02:57:05.495442Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4ccf680286c1ed2ccc67733e77a9aab7009fcc6d9f4ad6bfcd1188dc7798f5aa

Aliases

arxiv: 1908.00828 · arxiv_version: 1908.00828v4 · doi: 10.48550/arxiv.1908.00828 · pith_short_12: JTHWQAUGYHWS · pith_short_16: JTHWQAUGYHWSZTDH · pith_short_8: JTHWQAUG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JTHWQAUGYHWSZTDHOM7HPKNKW4 \
  | 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: 4ccf680286c1ed2ccc67733e77a9aab7009fcc6d9f4ad6bfcd1188dc7798f5aa
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a676d48ff552fee6bf662957eb5514909479e05f6c96765991c294a7a6f4c20d",
    "cross_cats_sorted": [
      "math.MG",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2019-08-02T12:46:08Z",
    "title_canon_sha256": "e45ddced93d902db7726a5eba34c6f37ae874721f421da536a6824a12bd4d26f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.00828",
    "kind": "arxiv",
    "version": 4
  }
}