Pith Number

pith:5GC3BHGY

pith:2015:5GC3BHGYBAEGSVCNM4H2JDEG7V

not attested not anchored not stored refs pending

Limit laws of the empirical Wasserstein distance: Gaussian distributions

Anja Sturm, Axel Munk, Thomas Rippl

arxiv:1507.04090 v2 · 2015-07-15 · 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{5GC3BHGYBAEGSVCNM4H2JDEG7V}

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	2026-05-18T01:20:19.044753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e985b09cd8080869544d670fa48c86fd6b2a2c921fdb06dbfa1a27560f889142

Aliases

arxiv: 1507.04090 · arxiv_version: 1507.04090v2 · doi: 10.48550/arxiv.1507.04090 · pith_short_12: 5GC3BHGYBAEG · pith_short_16: 5GC3BHGYBAEGSVCN · pith_short_8: 5GC3BHGY

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/5GC3BHGYBAEGSVCNM4H2JDEG7V \
  | 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: e985b09cd8080869544d670fa48c86fd6b2a2c921fdb06dbfa1a27560f889142

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54dc432434a80127e55734e103a5054def4c76784302432e927a2b40f7182dc0",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-07-15T05:42:44Z",
    "title_canon_sha256": "182aad4167020cecdad47790854cbc5810a218b3a6239c430004382f5a4a2969"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04090",
    "kind": "arxiv",
    "version": 2
  }
}