Pith Number

pith:5GVYOLUH

pith:2023:5GVYOLUHEJ6EKIJCKWZ6V2JD3H

not attested not anchored not stored refs pending

On Wasserstein distances for affine transformations of random vectors

Andrzej Korzeniowski, Keaton Hamm

arxiv:2310.03945 v2 · 2023-10-05 · stat.ML · cs.LG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5GVYOLUHEJ6EKIJCKWZ6V2JD3H}

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

Model Reduction of Multivariate Geometric Brownian Motions and Localization in a Two-State Quantum System

Receipt and verification

First computed	2026-07-05T07:42:42.083304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9ab872e87227c45212255b3eae923d9f2cfcf4cc0b454acc8bb42bb1a655457

Aliases

arxiv: 2310.03945 · arxiv_version: 2310.03945v2 · doi: 10.48550/arxiv.2310.03945 · pith_short_12: 5GVYOLUHEJ6E · pith_short_16: 5GVYOLUHEJ6EKIJC · pith_short_8: 5GVYOLUH

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/5GVYOLUHEJ6EKIJCKWZ6V2JD3H \
  | 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: e9ab872e87227c45212255b3eae923d9f2cfcf4cc0b454acc8bb42bb1a655457

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7e12257c64fb33cf22c64fa81b3287cda75edf76721e4e3b3afb53c3a71a8e9",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2023-10-05T23:30:41Z",
    "title_canon_sha256": "ca2b5293eb418a5e39041715ca221f590f160546a0d51225f309d944a0e0967f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.03945",
    "kind": "arxiv",
    "version": 2
  }
}