Pith Number

pith:H4FWNJY7

pith:2023:H4FWNJY7WBJOEMBHIGCB5SRDMH

not attested not anchored not stored refs pending

Concentration of empirical barycenters in metric spaces

Jordan Serres, Victor-Emmanuel Brunel

arxiv:2303.01144 v1 · 2023-03-02 · math.ST · math.MG · math.PR · 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{H4FWNJY7WBJOEMBHIGCB5SRDMH}

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.

Cited by

1 paper in Pith

Isotropic randomization for one-sample testing in metric spaces

Receipt and verification

First computed	2026-07-05T05:47:27.438623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f0b66a71fb052e2302741841eca2361cfdfdfbe8eda8e9451e6afc1adff5d29

Aliases

arxiv: 2303.01144 · arxiv_version: 2303.01144v1 · doi: 10.48550/arxiv.2303.01144 · pith_short_12: H4FWNJY7WBJO · pith_short_16: H4FWNJY7WBJOEMBH · pith_short_8: H4FWNJY7

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/H4FWNJY7WBJOEMBHIGCB5SRDMH \
  | 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: 3f0b66a71fb052e2302741841eca2361cfdfdfbe8eda8e9451e6afc1adff5d29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc66889b9834260f2918fbdea1e7dacd84ecf2a9a445827f001f4a450ba54a3a",
    "cross_cats_sorted": [
      "math.MG",
      "math.PR",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2023-03-02T10:47:27Z",
    "title_canon_sha256": "e8983b672281fbc53692e1b88ab37e46e21b2b5d06c989ee3359eee49715ae4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.01144",
    "kind": "arxiv",
    "version": 1
  }
}