Pith Number

pith:LIISJUUC

pith:2024:LIISJUUCHJLBRFHAADFJ6Y67WD

not attested not anchored not stored refs pending

Hierarchical Integral Probability Metrics: A distance on random probability measures with low sample complexity

Hugo Lavenant, Marta Catalano

arxiv:2402.00423 v2 · 2024-02-01 · math.ST · 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{LIISJUUCHJLBRFHAADFJ6Y67WD}

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	2026-07-05T08:22:36.576634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a1124d2823a561894e000ca9f63dfb0fc90de28aeaed6efe0977798fd0271ae

Aliases

arxiv: 2402.00423 · arxiv_version: 2402.00423v2 · doi: 10.48550/arxiv.2402.00423 · pith_short_12: LIISJUUCHJLB · pith_short_16: LIISJUUCHJLBRFHA · pith_short_8: LIISJUUC

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/LIISJUUCHJLBRFHAADFJ6Y67WD \
  | 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: 5a1124d2823a561894e000ca9f63dfb0fc90de28aeaed6efe0977798fd0271ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b871de549eedd9021e166c451b5414dbe73e27fd7bc464fce76c182d610970ea",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2024-02-01T08:44:16Z",
    "title_canon_sha256": "389464aa747de3d3b6212a5464ae1e48836d94db3caa5a2a9ff95a5145439816"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.00423",
    "kind": "arxiv",
    "version": 2
  }
}